id sid tid token lemma pos work_ztbmh3tmarfpbmyhgxb56dczmy 1 1 Drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 1 2 Movements Movements NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 3 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 4 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 5 Outcome outcome NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 8 Principle Principle NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 9 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 10 Least Least NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 11 Action Action NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 12 Journal Journal NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 14 Mathematical Mathematical NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 15 Psychology Psychology NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 16 45 45 CD work_ztbmh3tmarfpbmyhgxb56dczmy 1 17 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 1 18 43 43 CD work_ztbmh3tmarfpbmyhgxb56dczmy 1 19 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 20 52 52 CD work_ztbmh3tmarfpbmyhgxb56dczmy 1 21 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 1 22 2001 2001 CD work_ztbmh3tmarfpbmyhgxb56dczmy 1 23 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 1 24 Drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 1 25 Movements Movements NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 26 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 27 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 28 Outcome outcome NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 29 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 30 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 31 Principle Principle NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 32 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 33 Least Least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 1 34 Action Action NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 35 Sergey Sergey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 36 Lebedev Lebedev NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 37 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 1 38 Wai Wai NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 39 Hon Hon NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 40 Tsui Tsui NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 41 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 1 42 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 1 43 Peter Peter NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 44 Van Van NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 45 Gelder Gelder NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 46 Nathan Nathan NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 47 S. S. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 48 Kline Kline NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 49 Institute Institute NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 50 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 51 Psychiatric Psychiatric NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 52 Research Research NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 53 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 1 54 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 55 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 56 University University NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 57 Medical Medical NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 58 Center Center NNP work_ztbmh3tmarfpbmyhgxb56dczmy 1 59 According accord VBG work_ztbmh3tmarfpbmyhgxb56dczmy 1 60 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 61 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 62 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 1 63 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 1 64 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 1 65 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 66 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 67 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 68 cube cube NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 69 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 70 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 71 speed speed NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 72 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 73 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 74 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 1 75 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 76 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 1 77 proportional proportional JJ work_ztbmh3tmarfpbmyhgxb56dczmy 1 78 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 79 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 80 radius radius NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 81 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 82 curvature curvature NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 83 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 84 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 85 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 86 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 1 87 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 1 88 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 89 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 90 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 91 proportionality proportionality NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 92 has have VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 1 93 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 1 94 meaning meaning NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 95 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 1 96 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 1 97 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 1 98 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 2 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 2 2 derive derive VBP work_ztbmh3tmarfpbmyhgxb56dczmy 2 3 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 2 4 empirical empirical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 2 5 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 2 6 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 2 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 2 8 variational variational JJ work_ztbmh3tmarfpbmyhgxb56dczmy 2 9 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 2 10 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 2 11 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 2 12 physics physics NN work_ztbmh3tmarfpbmyhgxb56dczmy 2 13 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 2 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 2 15 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 2 16 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 2 17 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 2 18 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 2 19 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 3 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 3 2 states state VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 3 3 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 4 if if IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 5 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 6 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 7 between between IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 8 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 3 9 points point NNS work_ztbmh3tmarfpbmyhgxb56dczmy 3 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 11 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 12 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 3 13 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 14 obeys obey VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 3 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 16 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 3 17 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 3 18 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 3 19 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 3 21 then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 3 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 23 amount amount NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 24 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 25 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 26 required require VBN work_ztbmh3tmarfpbmyhgxb56dczmy 3 27 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 3 28 execute execute VB work_ztbmh3tmarfpbmyhgxb56dczmy 3 29 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 30 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 31 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 3 32 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 3 33 fixed fix VBN work_ztbmh3tmarfpbmyhgxb56dczmy 3 34 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 3 35 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 3 36 minimal minimal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 3 37 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 4 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 4 2 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 4 3 strict strict JJ work_ztbmh3tmarfpbmyhgxb56dczmy 4 4 sense sense NN work_ztbmh3tmarfpbmyhgxb56dczmy 4 5 one one PRP work_ztbmh3tmarfpbmyhgxb56dczmy 4 6 may may MD work_ztbmh3tmarfpbmyhgxb56dczmy 4 7 say say VB work_ztbmh3tmarfpbmyhgxb56dczmy 4 8 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 4 9 among among IN work_ztbmh3tmarfpbmyhgxb56dczmy 4 10 infinitely infinitely RB work_ztbmh3tmarfpbmyhgxb56dczmy 4 11 many many JJ work_ztbmh3tmarfpbmyhgxb56dczmy 4 12 ways way NNS work_ztbmh3tmarfpbmyhgxb56dczmy 4 13 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 4 14 execute execute VB work_ztbmh3tmarfpbmyhgxb56dczmy 4 15 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 4 16 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 4 17 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 4 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 4 19 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 4 20 central central JJ work_ztbmh3tmarfpbmyhgxb56dczmy 4 21 nervous nervous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 4 22 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 4 23 chooses choose VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 4 24 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 4 25 most most RBS work_ztbmh3tmarfpbmyhgxb56dczmy 4 26 economical economical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 4 27 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 5 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 5 2 show show VBP work_ztbmh3tmarfpbmyhgxb56dczmy 5 3 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 5 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 5 5 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 5 6 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 5 7 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 5 8 all all DT work_ztbmh3tmarfpbmyhgxb56dczmy 5 9 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 5 10 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 5 11 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 5 12 solutions solution NNS work_ztbmh3tmarfpbmyhgxb56dczmy 5 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 5 14 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 5 15 certain certain JJ work_ztbmh3tmarfpbmyhgxb56dczmy 5 16 differential differential JJ work_ztbmh3tmarfpbmyhgxb56dczmy 5 17 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 5 18 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 5 19 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 5 20 single single JJ work_ztbmh3tmarfpbmyhgxb56dczmy 5 21 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 5 22 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 5 23 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 5 24 variable variable NN work_ztbmh3tmarfpbmyhgxb56dczmy 5 25 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 5 26 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 5 27 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 6 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 6 2 consider consider VBP work_ztbmh3tmarfpbmyhgxb56dczmy 6 3 several several JJ work_ztbmh3tmarfpbmyhgxb56dczmy 6 4 special special JJ work_ztbmh3tmarfpbmyhgxb56dczmy 6 5 cases case NNS work_ztbmh3tmarfpbmyhgxb56dczmy 6 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 6 7 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 6 8 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 6 9 corresponding correspond VBG work_ztbmh3tmarfpbmyhgxb56dczmy 6 10 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 6 11 simplest simple JJS work_ztbmh3tmarfpbmyhgxb56dczmy 6 12 forms form NNS work_ztbmh3tmarfpbmyhgxb56dczmy 6 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 6 14 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 6 15 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 6 16 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 7 1 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 7 2 2001 2001 CD work_ztbmh3tmarfpbmyhgxb56dczmy 7 3 Academic Academic NNP work_ztbmh3tmarfpbmyhgxb56dczmy 7 4 Press Press NNP work_ztbmh3tmarfpbmyhgxb56dczmy 7 5 Drawing Drawing NNP work_ztbmh3tmarfpbmyhgxb56dczmy 7 6 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 7 7 handwriting handwriting NN work_ztbmh3tmarfpbmyhgxb56dczmy 7 8 involve involve VBP work_ztbmh3tmarfpbmyhgxb56dczmy 7 9 complex complex JJ work_ztbmh3tmarfpbmyhgxb56dczmy 7 10 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 7 11 executed execute VBN work_ztbmh3tmarfpbmyhgxb56dczmy 7 12 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 7 13 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 7 14 chain chain NN work_ztbmh3tmarfpbmyhgxb56dczmy 7 15 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 7 16 individually individually RB work_ztbmh3tmarfpbmyhgxb56dczmy 7 17 planned plan VBN work_ztbmh3tmarfpbmyhgxb56dczmy 7 18 simple simple JJ work_ztbmh3tmarfpbmyhgxb56dczmy 7 19 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 7 20 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 8 1 Figure figure NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 2 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 8 3 provides provide VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 8 4 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 8 5 good good JJ work_ztbmh3tmarfpbmyhgxb56dczmy 8 6 example example NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 7 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 8 8 such such JJ work_ztbmh3tmarfpbmyhgxb56dczmy 8 9 planning planning NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 10 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 8 11 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 8 12 great great JJ work_ztbmh3tmarfpbmyhgxb56dczmy 8 13 artist artist NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 14 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 8 15 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 8 16 signature signature NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 17 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 8 18 like like JJ work_ztbmh3tmarfpbmyhgxb56dczmy 8 19 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 20 drew draw VBD work_ztbmh3tmarfpbmyhgxb56dczmy 8 21 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 8 22 silhouette silhouette NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 23 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 8 24 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 8 25 bird bird NN work_ztbmh3tmarfpbmyhgxb56dczmy 8 26 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 8 27 Clark Clark NNP work_ztbmh3tmarfpbmyhgxb56dczmy 8 28 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 8 29 1993 1993 CD work_ztbmh3tmarfpbmyhgxb56dczmy 8 30 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 8 31 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 9 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 9 2 seems seem VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 9 3 reasonable reasonable JJ work_ztbmh3tmarfpbmyhgxb56dczmy 9 4 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 9 5 think think VB work_ztbmh3tmarfpbmyhgxb56dczmy 9 6 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 7 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 8 internal internal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 9 9 representation representation NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 11 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 12 drawing drawing NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 13 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 14 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 15 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 16 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 17 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 18 image image NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 19 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 9 20 silhouette silhouette NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 21 was be VBD work_ztbmh3tmarfpbmyhgxb56dczmy 9 22 available available JJ work_ztbmh3tmarfpbmyhgxb56dczmy 9 23 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 24 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 25 implementation implementation NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 26 stage stage NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 27 prior prior RB work_ztbmh3tmarfpbmyhgxb56dczmy 9 28 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 29 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 30 inception inception NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 31 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 32 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 33 movement.1 movement.1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 9 34 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 35 segmentation segmentation NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 36 into into IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 37 units unit NNS work_ztbmh3tmarfpbmyhgxb56dczmy 9 38 seems seem VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 9 39 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 9 40 occur occur VB work_ztbmh3tmarfpbmyhgxb56dczmy 9 41 at at IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 42 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 43 cusps cusp NNS work_ztbmh3tmarfpbmyhgxb56dczmy 9 44 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 9 45 points point NNS work_ztbmh3tmarfpbmyhgxb56dczmy 9 46 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 47 inflection inflection NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 48 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 9 49 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 9 50 contour contour NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 51 discontinuities discontinuity NNS work_ztbmh3tmarfpbmyhgxb56dczmy 9 52 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 9 53 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 9 54 within within IN work_ztbmh3tmarfpbmyhgxb56dczmy 9 55 each each DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 56 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 57 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 9 58 curvature curvature JJ work_ztbmh3tmarfpbmyhgxb56dczmy 9 59 preserves preserve NNS work_ztbmh3tmarfpbmyhgxb56dczmy 9 60 its -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 9 61 sign sign NN work_ztbmh3tmarfpbmyhgxb56dczmy 9 62 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 10 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 10 2 has have VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 10 3 been be VBN work_ztbmh3tmarfpbmyhgxb56dczmy 10 4 empirically empirically RB work_ztbmh3tmarfpbmyhgxb56dczmy 10 5 established establish VBN work_ztbmh3tmarfpbmyhgxb56dczmy 10 6 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 10 7 Lacquaniti Lacquaniti NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 10 9 Terzuolo Terzuolo NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 10 11 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 12 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 10 14 1983 1983 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 15 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 10 16 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 17 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 18 Cenzato Cenzato NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 10 20 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 10 22 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 23 within within IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 24 each each DT work_ztbmh3tmarfpbmyhgxb56dczmy 10 25 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 26 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 27 execution execution NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 28 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 10 29 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 30 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 10 31 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 32 doi:10.1006 doi:10.1006 NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 33 � � NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 34 jmps.1999.1287 jmps.1999.1287 NNS work_ztbmh3tmarfpbmyhgxb56dczmy 10 35 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 10 36 available available JJ work_ztbmh3tmarfpbmyhgxb56dczmy 10 37 online online RB work_ztbmh3tmarfpbmyhgxb56dczmy 10 38 at at IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 39 http: http: WRB work_ztbmh3tmarfpbmyhgxb56dczmy 10 40 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 41 � � ADD work_ztbmh3tmarfpbmyhgxb56dczmy 10 42 www.idealibrary.com www.idealibrary.com ADD work_ztbmh3tmarfpbmyhgxb56dczmy 10 43 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 44 43 43 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 45 0022 0022 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 46 - - SYM work_ztbmh3tmarfpbmyhgxb56dczmy 10 47 2496 2496 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 48 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 49 01 01 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 50 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 51 35.00 35.00 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 52 Copyright copyright NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 53 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 54 2001 2001 CD work_ztbmh3tmarfpbmyhgxb56dczmy 10 55 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 56 Academic Academic NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 57 Press Press NNP work_ztbmh3tmarfpbmyhgxb56dczmy 10 58 All all DT work_ztbmh3tmarfpbmyhgxb56dczmy 10 59 rights right NNS work_ztbmh3tmarfpbmyhgxb56dczmy 10 60 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 61 reproduction reproduction NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 62 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 10 63 any any DT work_ztbmh3tmarfpbmyhgxb56dczmy 10 64 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 10 65 reserved reserve VBN work_ztbmh3tmarfpbmyhgxb56dczmy 10 66 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 11 1 All all DT work_ztbmh3tmarfpbmyhgxb56dczmy 11 2 authors author NNS work_ztbmh3tmarfpbmyhgxb56dczmy 11 3 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 11 4 at at IN work_ztbmh3tmarfpbmyhgxb56dczmy 11 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 11 6 Nathan Nathan NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 7 Kline Kline NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 8 Institute Institute NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 9 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 11 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 11 11 Department Department NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 12 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 11 13 Psychiatry Psychiatry NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 11 15 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 16 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 17 University University NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 18 Medical Medical NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 19 Center Center NNP work_ztbmh3tmarfpbmyhgxb56dczmy 11 20 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 12 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 12 2 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 12 3 grateful grateful JJ work_ztbmh3tmarfpbmyhgxb56dczmy 12 4 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 12 5 Professor Professor NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 6 Edgar Edgar NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 7 E. E. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 8 Coons Coons NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 12 9 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 12 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 12 11 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 12 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 13 University University NNP work_ztbmh3tmarfpbmyhgxb56dczmy 12 14 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 12 15 insight insight NN work_ztbmh3tmarfpbmyhgxb56dczmy 12 16 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 12 17 how how WRB work_ztbmh3tmarfpbmyhgxb56dczmy 12 18 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 12 19 central central JJ work_ztbmh3tmarfpbmyhgxb56dczmy 12 20 nervous nervous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 12 21 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 12 22 uses use VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 12 23 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 12 24 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 12 25 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 12 26 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 12 27 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 12 28 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 13 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 13 2 also also RB work_ztbmh3tmarfpbmyhgxb56dczmy 13 3 thank thank VBP work_ztbmh3tmarfpbmyhgxb56dczmy 13 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 13 5 young young JJ work_ztbmh3tmarfpbmyhgxb56dczmy 13 6 artist artist NN work_ztbmh3tmarfpbmyhgxb56dczmy 13 7 Jonathan Jonathan NNP work_ztbmh3tmarfpbmyhgxb56dczmy 13 8 Lester Lester NNP work_ztbmh3tmarfpbmyhgxb56dczmy 13 9 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 13 10 participation participation NN work_ztbmh3tmarfpbmyhgxb56dczmy 13 11 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 13 12 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 13 13 pilot pilot NN work_ztbmh3tmarfpbmyhgxb56dczmy 13 14 experiment experiment NN work_ztbmh3tmarfpbmyhgxb56dczmy 13 15 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 13 16 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 13 17 led lead VBD work_ztbmh3tmarfpbmyhgxb56dczmy 13 18 us -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 13 19 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 13 20 fruitful fruitful JJ work_ztbmh3tmarfpbmyhgxb56dczmy 13 21 ideas idea NNS work_ztbmh3tmarfpbmyhgxb56dczmy 13 22 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 14 1 Finally finally RB work_ztbmh3tmarfpbmyhgxb56dczmy 14 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 14 3 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 14 4 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 14 5 indebted indebted JJ work_ztbmh3tmarfpbmyhgxb56dczmy 14 6 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 14 7 Professor Professor NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 8 Ethibar Ethibar NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 9 N. N. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 10 Dzhafarov Dzhafarov NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 11 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 14 12 Purdue Purdue NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 13 University University NNP work_ztbmh3tmarfpbmyhgxb56dczmy 14 14 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 14 15 his -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 14 16 constructive constructive JJ work_ztbmh3tmarfpbmyhgxb56dczmy 14 17 suggestions suggestion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 14 18 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 15 1 Address address NN work_ztbmh3tmarfpbmyhgxb56dczmy 15 2 correspondence correspondence NN work_ztbmh3tmarfpbmyhgxb56dczmy 15 3 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 15 4 reprint reprint NN work_ztbmh3tmarfpbmyhgxb56dczmy 15 5 requests request NNS work_ztbmh3tmarfpbmyhgxb56dczmy 15 6 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 15 7 Peter Peter NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 8 Van Van NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 9 Gelder Gelder NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 11 Department Department NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 12 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 15 13 Psychiatry Psychiatry NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 15 Room Room NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 16 TH TH NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 17 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 15 18 N N NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 19 416 416 CD work_ztbmh3tmarfpbmyhgxb56dczmy 15 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 21 NYU NYU NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 22 Medical Medical NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 23 Center Center NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 24 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 25 550 550 CD work_ztbmh3tmarfpbmyhgxb56dczmy 15 26 First First NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 27 Avenue Avenue NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 28 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 29 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 30 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 31 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 15 32 NY NY NNP work_ztbmh3tmarfpbmyhgxb56dczmy 15 33 10016 10016 CD work_ztbmh3tmarfpbmyhgxb56dczmy 15 34 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 16 1 E e NN work_ztbmh3tmarfpbmyhgxb56dczmy 16 2 - - NN work_ztbmh3tmarfpbmyhgxb56dczmy 16 3 mail mail NN work_ztbmh3tmarfpbmyhgxb56dczmy 16 4 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 16 5 pvg�ipl.med.nyu.edu pvg�ipl.med.nyu.edu NN work_ztbmh3tmarfpbmyhgxb56dczmy 16 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 17 1 1 1 LS work_ztbmh3tmarfpbmyhgxb56dczmy 17 2 Here here RB work_ztbmh3tmarfpbmyhgxb56dczmy 17 3 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 17 4 how how WRB work_ztbmh3tmarfpbmyhgxb56dczmy 17 5 Picasso Picasso NNP work_ztbmh3tmarfpbmyhgxb56dczmy 17 6 understands understand VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 17 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 17 8 process process NN work_ztbmh3tmarfpbmyhgxb56dczmy 17 9 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 17 10 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 17 11 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 17 12 Drawing drawing NN work_ztbmh3tmarfpbmyhgxb56dczmy 17 13 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 17 14 no no DT work_ztbmh3tmarfpbmyhgxb56dczmy 17 15 joke joke NN work_ztbmh3tmarfpbmyhgxb56dczmy 17 16 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 18 1 There there EX work_ztbmh3tmarfpbmyhgxb56dczmy 18 2 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 18 3 something something NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 4 very very RB work_ztbmh3tmarfpbmyhgxb56dczmy 18 5 serious serious JJ work_ztbmh3tmarfpbmyhgxb56dczmy 18 6 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 18 7 mysterious mysterious JJ work_ztbmh3tmarfpbmyhgxb56dczmy 18 8 about about IN work_ztbmh3tmarfpbmyhgxb56dczmy 18 9 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 18 10 fact fact NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 11 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 18 12 one one PRP work_ztbmh3tmarfpbmyhgxb56dczmy 18 13 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 18 14 represent represent VB work_ztbmh3tmarfpbmyhgxb56dczmy 18 15 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 18 16 living live VBG work_ztbmh3tmarfpbmyhgxb56dczmy 18 17 human human NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 18 being being NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 19 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 18 20 line line NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 21 alone alone JJ work_ztbmh3tmarfpbmyhgxb56dczmy 18 22 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 18 23 create create VB work_ztbmh3tmarfpbmyhgxb56dczmy 18 24 not not RB work_ztbmh3tmarfpbmyhgxb56dczmy 18 25 only only RB work_ztbmh3tmarfpbmyhgxb56dczmy 18 26 his -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 18 27 likeness likeness NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 28 but but CC work_ztbmh3tmarfpbmyhgxb56dczmy 18 29 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 18 30 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 18 31 addition addition NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 32 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 18 33 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 18 34 image image NN work_ztbmh3tmarfpbmyhgxb56dczmy 18 35 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 18 36 how how WRB work_ztbmh3tmarfpbmyhgxb56dczmy 18 37 he -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 18 38 really really RB work_ztbmh3tmarfpbmyhgxb56dczmy 18 39 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 18 40 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 19 1 That that DT work_ztbmh3tmarfpbmyhgxb56dczmy 19 2 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 19 3 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 19 4 marvel marvel NN work_ztbmh3tmarfpbmyhgxb56dczmy 19 5 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 19 6 ' ' '' work_ztbmh3tmarfpbmyhgxb56dczmy 19 7 ' ' '' work_ztbmh3tmarfpbmyhgxb56dczmy 20 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 20 2 Clark Clark NNP work_ztbmh3tmarfpbmyhgxb56dczmy 20 3 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 20 4 1993 1993 CD work_ztbmh3tmarfpbmyhgxb56dczmy 20 5 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 20 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 21 1 FIG FIG NNP work_ztbmh3tmarfpbmyhgxb56dczmy 21 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 22 1 1 1 LS work_ztbmh3tmarfpbmyhgxb56dczmy 22 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 23 1 Pablo Pablo NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 2 Picasso Picasso NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 3 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 23 4 Dove Dove NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 23 6 1961 1961 CD work_ztbmh3tmarfpbmyhgxb56dczmy 23 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 23 8 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 9 1999 1999 CD work_ztbmh3tmarfpbmyhgxb56dczmy 23 10 Estate Estate NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 11 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 23 12 Pablo Pablo NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 13 Picasso Picasso NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 14 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 15 Artists Artists NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 16 Rights Rights NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 23 17 Society Society NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 18 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 23 19 ARS ARS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 20 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 23 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 23 22 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 23 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 23 24 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 24 1 This this DT work_ztbmh3tmarfpbmyhgxb56dczmy 24 2 drawing drawing NN work_ztbmh3tmarfpbmyhgxb56dczmy 24 3 suggests suggest VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 24 4 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 24 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 24 6 entire entire JJ work_ztbmh3tmarfpbmyhgxb56dczmy 24 7 silhouette silhouette NN work_ztbmh3tmarfpbmyhgxb56dczmy 24 8 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 24 9 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 24 10 decomposed decompose VBN work_ztbmh3tmarfpbmyhgxb56dczmy 24 11 into into IN work_ztbmh3tmarfpbmyhgxb56dczmy 24 12 about about RB work_ztbmh3tmarfpbmyhgxb56dczmy 24 13 20 20 CD work_ztbmh3tmarfpbmyhgxb56dczmy 24 14 segments segment NNS work_ztbmh3tmarfpbmyhgxb56dczmy 24 15 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 24 16 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 24 17 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 24 18 segmentation segmentation NN work_ztbmh3tmarfpbmyhgxb56dczmy 24 19 seems seem VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 24 20 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 24 21 occur occur VB work_ztbmh3tmarfpbmyhgxb56dczmy 24 22 at at IN work_ztbmh3tmarfpbmyhgxb56dczmy 24 23 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 24 24 cuspids cuspid NNS work_ztbmh3tmarfpbmyhgxb56dczmy 24 25 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 24 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 24 27 points point NNS work_ztbmh3tmarfpbmyhgxb56dczmy 24 28 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 24 29 inflection inflection NN work_ztbmh3tmarfpbmyhgxb56dczmy 24 30 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 25 1 relation relation NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 2 exists exist VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 25 3 between between IN work_ztbmh3tmarfpbmyhgxb56dczmy 25 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 5 angular angular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 25 6 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 7 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 25 8 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 9 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 10 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 25 11 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 12 curvature curvature NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 25 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 15 trajectory trajectory CD work_ztbmh3tmarfpbmyhgxb56dczmy 25 16 0(t)=K 0(t)=k CD work_ztbmh3tmarfpbmyhgxb56dczmy 25 17 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 25 18 C(t)2 c(t)2 ADD work_ztbmh3tmarfpbmyhgxb56dczmy 25 19 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 25 20 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 25 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 25 22 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 25 23 1 1 LS work_ztbmh3tmarfpbmyhgxb56dczmy 25 24 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 25 25 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 25 26 t t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 25 27 denotes denote VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 25 28 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 29 instant instant NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 30 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 25 31 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 32 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 25 33 0(t 0(t LS work_ztbmh3tmarfpbmyhgxb56dczmy 25 34 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 25 35 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 25 36 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 37 angular angular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 25 38 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 39 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 25 40 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 25 41 C(t c(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 42 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 25 43 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 25 44 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 25 45 curvature curvature NN work_ztbmh3tmarfpbmyhgxb56dczmy 25 46 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 26 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 26 2 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 3 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 26 4 proportionality proportionality NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 5 K K NNP work_ztbmh3tmarfpbmyhgxb56dczmy 26 6 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 26 7 called call VBN work_ztbmh3tmarfpbmyhgxb56dczmy 26 8 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 26 9 gain gain NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 10 factor factor NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 11 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 26 12 remains remain VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 26 13 approximately approximately RB work_ztbmh3tmarfpbmyhgxb56dczmy 26 14 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 26 15 within within IN work_ztbmh3tmarfpbmyhgxb56dczmy 26 16 each each DT work_ztbmh3tmarfpbmyhgxb56dczmy 26 17 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 18 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 26 19 execution execution NN work_ztbmh3tmarfpbmyhgxb56dczmy 26 20 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 26 21 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 26 22 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 26 23 Cenzato Cenzato NNP work_ztbmh3tmarfpbmyhgxb56dczmy 26 24 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 26 25 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 26 26 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 26 27 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 27 1 This this DT work_ztbmh3tmarfpbmyhgxb56dczmy 27 2 dependence dependence NN work_ztbmh3tmarfpbmyhgxb56dczmy 27 3 has have VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 27 4 been be VBN work_ztbmh3tmarfpbmyhgxb56dczmy 27 5 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 27 6 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 27 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 27 8 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 27 9 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 27 10 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 27 11 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 27 12 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 27 13 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 27 14 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 27 15 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 27 16 ' ' '' work_ztbmh3tmarfpbmyhgxb56dczmy 27 17 ' ' '' work_ztbmh3tmarfpbmyhgxb56dczmy 28 1 This this DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 2 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 3 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 28 4 also also RB work_ztbmh3tmarfpbmyhgxb56dczmy 28 5 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 28 6 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 28 7 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 8 different different JJ work_ztbmh3tmarfpbmyhgxb56dczmy 28 9 but but CC work_ztbmh3tmarfpbmyhgxb56dczmy 28 10 mathematically mathematically RB work_ztbmh3tmarfpbmyhgxb56dczmy 28 11 equivalent equivalent JJ work_ztbmh3tmarfpbmyhgxb56dczmy 28 12 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 13 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 14 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 28 15 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 28 16 Cenzato Cenzato NNP work_ztbmh3tmarfpbmyhgxb56dczmy 28 17 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 28 18 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 28 19 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 28 21 V(t)=K V(t)=K NNP work_ztbmh3tmarfpbmyhgxb56dczmy 28 22 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 23 R(t)1 R(t)1 : work_ztbmh3tmarfpbmyhgxb56dczmy 28 24 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 28 25 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 28 26 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 28 27 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 28 2 2 LS work_ztbmh3tmarfpbmyhgxb56dczmy 28 29 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 30 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 28 31 V(t V(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 28 32 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 33 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 28 34 R(t r(t VB work_ztbmh3tmarfpbmyhgxb56dczmy 28 35 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 28 36 denote denote VB work_ztbmh3tmarfpbmyhgxb56dczmy 28 37 instantaneous instantaneous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 28 38 values value NNS work_ztbmh3tmarfpbmyhgxb56dczmy 28 39 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 28 40 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 41 tangential tangential JJ work_ztbmh3tmarfpbmyhgxb56dczmy 28 42 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 43 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 28 44 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 45 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 46 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 28 47 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 48 radius radius NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 49 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 28 50 curvature curvature NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 51 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 28 52 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 28 53 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 28 54 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 28 55 correspondingly correspondingly RB work_ztbmh3tmarfpbmyhgxb56dczmy 28 56 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 29 1 Although although IN work_ztbmh3tmarfpbmyhgxb56dczmy 29 2 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 29 3 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 29 4 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 29 5 trajectory trajectory CD work_ztbmh3tmarfpbmyhgxb56dczmy 29 6 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 29 7 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 29 8 traced trace VBN work_ztbmh3tmarfpbmyhgxb56dczmy 29 9 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 29 10 infinitely infinitely RB work_ztbmh3tmarfpbmyhgxb56dczmy 29 11 many many JJ work_ztbmh3tmarfpbmyhgxb56dczmy 29 12 different different JJ work_ztbmh3tmarfpbmyhgxb56dczmy 29 13 ways way NNS work_ztbmh3tmarfpbmyhgxb56dczmy 29 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 29 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 29 16 nervous nervous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 29 17 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 29 18 effectively effectively RB work_ztbmh3tmarfpbmyhgxb56dczmy 29 19 reduces reduce VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 29 20 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 29 21 excess excess NN work_ztbmh3tmarfpbmyhgxb56dczmy 29 22 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 29 23 degrees degree NNS work_ztbmh3tmarfpbmyhgxb56dczmy 29 24 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 29 25 freedom freedom NN work_ztbmh3tmarfpbmyhgxb56dczmy 29 26 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 29 27 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 29 28 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 29 29 Flash Flash NNP work_ztbmh3tmarfpbmyhgxb56dczmy 29 30 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 29 31 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 29 32 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 29 33 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 29 34 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 29 35 Schneider Schneider NNP work_ztbmh3tmarfpbmyhgxb56dczmy 29 36 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 29 37 1991 1991 CD work_ztbmh3tmarfpbmyhgxb56dczmy 29 38 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 29 39 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 30 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 30 2 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 30 3 article article NN work_ztbmh3tmarfpbmyhgxb56dczmy 30 4 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 30 5 derive derive VBP work_ztbmh3tmarfpbmyhgxb56dczmy 30 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 30 7 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 30 8 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 30 9 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 30 10 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 30 11 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 30 12 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 30 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 30 14 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 30 15 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 30 16 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 30 17 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 30 18 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 30 19 show show VBP work_ztbmh3tmarfpbmyhgxb56dczmy 30 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 30 21 constraints constraint NNS work_ztbmh3tmarfpbmyhgxb56dczmy 30 22 imposed impose VBN work_ztbmh3tmarfpbmyhgxb56dczmy 30 23 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 30 24 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 30 25 parametric parametric JJ work_ztbmh3tmarfpbmyhgxb56dczmy 30 26 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 30 27 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 30 28 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 30 29 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 30 30 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 31 1 These these DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 2 constraints constraint NNS work_ztbmh3tmarfpbmyhgxb56dczmy 31 3 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 31 4 44 44 CD work_ztbmh3tmarfpbmyhgxb56dczmy 31 5 LEBEDEV LEBEDEV NNP work_ztbmh3tmarfpbmyhgxb56dczmy 31 6 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 31 7 TSUI TSUI NNP work_ztbmh3tmarfpbmyhgxb56dczmy 31 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 31 9 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 31 10 VAN VAN NNP work_ztbmh3tmarfpbmyhgxb56dczmy 31 11 GELDER GELDER NNP work_ztbmh3tmarfpbmyhgxb56dczmy 31 12 sufficient sufficient JJ work_ztbmh3tmarfpbmyhgxb56dczmy 31 13 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 31 14 characterize characterize VB work_ztbmh3tmarfpbmyhgxb56dczmy 31 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 16 control control NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 17 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 18 that that WDT work_ztbmh3tmarfpbmyhgxb56dczmy 31 19 governs govern VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 31 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 21 execution execution NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 22 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 31 23 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 31 24 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 31 25 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 31 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 27 reduction reduction NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 28 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 31 29 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 30 degrees degree NNS work_ztbmh3tmarfpbmyhgxb56dczmy 31 31 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 31 32 freedom freedom NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 33 that that WDT work_ztbmh3tmarfpbmyhgxb56dczmy 31 34 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 31 35 available available JJ work_ztbmh3tmarfpbmyhgxb56dczmy 31 36 before before IN work_ztbmh3tmarfpbmyhgxb56dczmy 31 37 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 38 inception inception NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 39 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 31 40 such such PDT work_ztbmh3tmarfpbmyhgxb56dczmy 31 41 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 31 42 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 31 43 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 32 1 1 1 LS work_ztbmh3tmarfpbmyhgxb56dczmy 32 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 33 1 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 33 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 33 3 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 33 4 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 5 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 6 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 33 7 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 33 8 STRATEGY STRATEGY NNP work_ztbmh3tmarfpbmyhgxb56dczmy 33 9 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 33 10 LEAST LEAST NNP work_ztbmh3tmarfpbmyhgxb56dczmy 33 11 ACTION ACTION NNP work_ztbmh3tmarfpbmyhgxb56dczmy 33 12 Equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 13 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 14 2 2 LS work_ztbmh3tmarfpbmyhgxb56dczmy 33 15 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 16 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 33 17 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 33 18 rewritten rewrite VBN work_ztbmh3tmarfpbmyhgxb56dczmy 33 19 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 33 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 33 21 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 22 V v NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 23 3(t 3(t CD work_ztbmh3tmarfpbmyhgxb56dczmy 33 24 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 25 R(t r(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 26 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 27 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 33 28 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 29 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 33 30 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 31 3 3 LS work_ztbmh3tmarfpbmyhgxb56dczmy 33 32 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 33 33 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 33 34 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 35 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 33 36 K k NN work_ztbmh3tmarfpbmyhgxb56dczmy 33 37 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 33 38 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 33 39 const const IN work_ztbmh3tmarfpbmyhgxb56dczmy 33 40 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 34 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 2 left left JJ work_ztbmh3tmarfpbmyhgxb56dczmy 34 3 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 34 4 hand hand NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 5 side side NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 7 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 8 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 34 9 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 10 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 34 11 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 34 12 decomposed decompose VBN work_ztbmh3tmarfpbmyhgxb56dczmy 34 13 into into IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 14 V V NNP work_ztbmh3tmarfpbmyhgxb56dczmy 34 15 2(t 2(t CD work_ztbmh3tmarfpbmyhgxb56dczmy 34 16 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 17 R(t r(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 18 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 19 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 20 V(t v(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 22 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 34 23 An(t An(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 34 24 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 25 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 26 V(t v(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 27 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 28 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 34 29 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 30 4 4 LS work_ztbmh3tmarfpbmyhgxb56dczmy 34 31 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 32 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 34 33 An(t An(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 34 34 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 34 35 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 34 36 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 37 magnitude magnitude NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 38 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 39 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 40 normal normal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 34 41 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 34 42 centripetal centripetal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 34 43 acceleration acceleration NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 44 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 34 45 that that RB work_ztbmh3tmarfpbmyhgxb56dczmy 34 46 is is RB work_ztbmh3tmarfpbmyhgxb56dczmy 34 47 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 34 48 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 49 acceleration acceleration NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 50 directed direct VBN work_ztbmh3tmarfpbmyhgxb56dczmy 34 51 toward toward IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 52 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 53 center center NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 54 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 55 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 56 curvature curvature NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 57 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 34 58 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 34 59 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 34 60 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 35 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 35 2 centripetal centripetal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 35 3 acceleration acceleration NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 4 characterizes characterize VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 35 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 35 6 rate rate NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 7 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 35 8 change change NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 9 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 35 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 35 11 direction direction NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 12 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 35 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 35 14 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 15 vector vector NN work_ztbmh3tmarfpbmyhgxb56dczmy 35 16 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 35 17 Yavorsky Yavorsky NNP work_ztbmh3tmarfpbmyhgxb56dczmy 35 18 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 35 19 Detlaf Detlaf NNP work_ztbmh3tmarfpbmyhgxb56dczmy 35 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 35 21 1982 1982 CD work_ztbmh3tmarfpbmyhgxb56dczmy 35 22 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 35 23 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 36 1 Then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 36 2 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 3 3 3 LS work_ztbmh3tmarfpbmyhgxb56dczmy 36 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 5 takes take VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 36 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 36 7 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 8 An(t An(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 36 9 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 10 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 11 V(t v(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 13 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 36 14 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 15 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 36 16 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 17 5 5 CD work_ztbmh3tmarfpbmyhgxb56dczmy 36 18 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 36 19 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 36 20 states state VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 36 21 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 36 22 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 36 23 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 36 24 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 36 25 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 36 26 product product NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 27 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 36 28 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 36 29 instantaneous instantaneous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 36 30 values value NNS work_ztbmh3tmarfpbmyhgxb56dczmy 36 31 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 36 32 centripetal centripetal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 36 33 acceleration acceleration NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 34 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 36 35 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 36 36 tangential tangential JJ work_ztbmh3tmarfpbmyhgxb56dczmy 36 37 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 38 remains remain VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 36 39 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 36 40 during during IN work_ztbmh3tmarfpbmyhgxb56dczmy 36 41 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 42 execution execution NN work_ztbmh3tmarfpbmyhgxb56dczmy 36 43 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 37 1 This this DT work_ztbmh3tmarfpbmyhgxb56dczmy 37 2 product product NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 3 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 37 4 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 37 5 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 6 physics physics NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 7 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 8 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 37 9 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 37 11 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 37 12 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 37 13 characterizes characterize VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 37 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 37 15 amount amount NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 16 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 17 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 37 18 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 19 per per IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 20 unit unit NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 21 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 22 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 23 necessary necessary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 37 24 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 37 25 keep keep VB work_ztbmh3tmarfpbmyhgxb56dczmy 37 26 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 27 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 37 28 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 37 29 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 37 30 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 38 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 38 2 substitution substitution NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 3 into into IN work_ztbmh3tmarfpbmyhgxb56dczmy 38 4 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 5 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 6 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 7 R(t r(t VB work_ztbmh3tmarfpbmyhgxb56dczmy 38 8 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 9 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 10 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 11 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 12 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 13 2+y 2+y CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 14 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 15 2)3 2)3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 16 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 17 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 18 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 19 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 20 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 21 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 22 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 38 23 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 24 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 25 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 26 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 27 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 28 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 29 6 6 LS work_ztbmh3tmarfpbmyhgxb56dczmy 38 30 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 31 V=- v=- NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 32 x x NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 33 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 34 2+y 2+y CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 35 * * SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 36 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 37 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 38 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 38 39 x x NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 40 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 41 x(t x(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 42 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 43 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 44 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 45 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 46 y(t y(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 47 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 48 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 38 49 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 38 50 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 38 51 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 38 52 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 38 53 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 54 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 55 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 38 56 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 57 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 58 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 59 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 60 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 61 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 62 x x NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 63 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 64 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 65 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 66 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 67 denote denote VBP work_ztbmh3tmarfpbmyhgxb56dczmy 38 68 their -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 38 69 first first JJ work_ztbmh3tmarfpbmyhgxb56dczmy 38 70 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 38 71 second second JJ work_ztbmh3tmarfpbmyhgxb56dczmy 38 72 derivatives derivative NNS work_ztbmh3tmarfpbmyhgxb56dczmy 38 73 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 38 74 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 75 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 38 76 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 77 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 78 gives give VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 38 79 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 80 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 81 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 82 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 83 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 84 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 85 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 38 86 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 87 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 38 88 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 38 89 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 90 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 38 91 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 92 7 7 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 93 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 94 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 38 95 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 38 96 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 38 97 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 98 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 38 99 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 38 100 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 101 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 102 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 38 103 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 38 104 differential differential NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 105 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 38 106 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 107 see see VB work_ztbmh3tmarfpbmyhgxb56dczmy 38 108 also also RB work_ztbmh3tmarfpbmyhgxb56dczmy 38 109 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 110 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 111 Cenzato Cenzato NNP work_ztbmh3tmarfpbmyhgxb56dczmy 38 112 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 113 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 38 114 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 115 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 38 116 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 39 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 39 2 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 39 3 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 39 4 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 39 5 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 39 6 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 39 7 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 39 8 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 39 9 y y NN work_ztbmh3tmarfpbmyhgxb56dczmy 39 10 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 39 11 y(x y(x NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 39 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 39 14 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 39 15 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 39 16 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 17 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 18 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 39 19 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 20 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 39 21 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 39 22 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 23 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 39 24 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 39 25 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 39 26 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 39 27 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 39 28 Bronshtein Bronshtein NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 29 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 39 30 Semendyayev Semendyayev NNP work_ztbmh3tmarfpbmyhgxb56dczmy 39 31 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 39 32 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 39 33 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 39 34 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 40 1 Thus thus RB work_ztbmh3tmarfpbmyhgxb56dczmy 40 2 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 40 3 7 7 CD work_ztbmh3tmarfpbmyhgxb56dczmy 40 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 40 5 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 40 6 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 40 7 rewritten rewrite VBN work_ztbmh3tmarfpbmyhgxb56dczmy 40 8 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 40 9 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 40 10 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 40 11 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 40 12 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 40 13 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 40 14 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 40 15 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 40 16 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 40 17 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 40 18 8) 8) CD work_ztbmh3tmarfpbmyhgxb56dczmy 40 19 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 40 20 y"x y"x PRP work_ztbmh3tmarfpbmyhgxb56dczmy 40 21 denotes denote VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 40 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 40 23 second second JJ work_ztbmh3tmarfpbmyhgxb56dczmy 40 24 derivative derivative NN work_ztbmh3tmarfpbmyhgxb56dczmy 40 25 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 40 26 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 40 27 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 40 28 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 40 29 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 40 30 x. x. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 41 1 45DRAWING 45drawing CD work_ztbmh3tmarfpbmyhgxb56dczmy 41 2 MOVEMENTS MOVEMENTS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 41 3 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 41 4 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 5 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 41 6 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 41 7 LEAST LEAST NNP work_ztbmh3tmarfpbmyhgxb56dczmy 41 8 ACTION action VB work_ztbmh3tmarfpbmyhgxb56dczmy 41 9 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 10 very very JJ work_ztbmh3tmarfpbmyhgxb56dczmy 41 11 fact fact NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 12 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 41 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 14 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 41 15 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 16 remains remain VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 41 17 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 41 18 throughout throughout IN work_ztbmh3tmarfpbmyhgxb56dczmy 41 19 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 20 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 21 suggests suggest VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 41 22 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 41 23 there there EX work_ztbmh3tmarfpbmyhgxb56dczmy 41 24 exists exist VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 41 25 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 26 certain certain JJ work_ztbmh3tmarfpbmyhgxb56dczmy 41 27 criterion criterion NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 28 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 41 29 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 41 30 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 41 31 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 41 32 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 41 33 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 41 34 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 35 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 41 36 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 41 37 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 41 38 derived derive VBN work_ztbmh3tmarfpbmyhgxb56dczmy 41 39 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 42 1 To to TO work_ztbmh3tmarfpbmyhgxb56dczmy 42 2 find find VB work_ztbmh3tmarfpbmyhgxb56dczmy 42 3 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 4 criterion criterion NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 42 6 consider consider VB work_ztbmh3tmarfpbmyhgxb56dczmy 42 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 8 problem problem NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 9 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 42 10 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 42 11 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 12 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 42 13 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 14 y y NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 15 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 42 16 f f NNP work_ztbmh3tmarfpbmyhgxb56dczmy 42 17 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 42 18 x x NNP work_ztbmh3tmarfpbmyhgxb56dczmy 42 19 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 42 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 42 21 find find VB work_ztbmh3tmarfpbmyhgxb56dczmy 42 22 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 23 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 24 whose whose WP$ work_ztbmh3tmarfpbmyhgxb56dczmy 42 25 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 42 26 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 42 27 require require VBP work_ztbmh3tmarfpbmyhgxb56dczmy 42 28 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 29 smallest small JJS work_ztbmh3tmarfpbmyhgxb56dczmy 42 30 amount amount NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 31 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 42 32 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 42 33 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 34 necessary necessary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 42 35 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 42 36 accomplish accomplish VB work_ztbmh3tmarfpbmyhgxb56dczmy 42 37 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 38 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 39 between between IN work_ztbmh3tmarfpbmyhgxb56dczmy 42 40 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 42 41 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 42 42 points point NNS work_ztbmh3tmarfpbmyhgxb56dczmy 42 43 M(x0 M(x0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 42 44 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 42 45 y0 y0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 42 46 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 42 47 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 42 48 N(x1 n(x1 NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 49 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 42 50 y1 y1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 42 51 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 42 52 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 42 53 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 54 curve curve NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 55 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 42 56 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 42 57 fixed fix VBN work_ztbmh3tmarfpbmyhgxb56dczmy 42 58 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 59 T t NN work_ztbmh3tmarfpbmyhgxb56dczmy 42 60 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 42 61 T1&T0 t1&t0 XX work_ztbmh3tmarfpbmyhgxb56dczmy 42 62 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 43 1 Mathematically mathematically RB work_ztbmh3tmarfpbmyhgxb56dczmy 43 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 43 3 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 43 4 means mean VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 43 5 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 43 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 43 7 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 43 8 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 43 9 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 43 10 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 43 11 x(t x(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 43 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 43 13 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 43 14 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 43 15 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 43 16 y(t y(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 43 17 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 43 18 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 43 19 minimize minimize VB work_ztbmh3tmarfpbmyhgxb56dczmy 43 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 43 21 integral integral JJ work_ztbmh3tmarfpbmyhgxb56dczmy 43 22 | | NNP work_ztbmh3tmarfpbmyhgxb56dczmy 43 23 T1 T1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 43 24 T0 t0 NN work_ztbmh3tmarfpbmyhgxb56dczmy 43 25 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 43 26 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 43 27 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 43 28 dt dt NN work_ztbmh3tmarfpbmyhgxb56dczmy 43 29 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 44 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 44 2 9 9 CD work_ztbmh3tmarfpbmyhgxb56dczmy 44 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 44 4 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 44 5 Appendix Appendix NNP work_ztbmh3tmarfpbmyhgxb56dczmy 44 6 A A NNP work_ztbmh3tmarfpbmyhgxb56dczmy 44 7 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 44 8 show show VBP work_ztbmh3tmarfpbmyhgxb56dczmy 44 9 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 44 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 44 11 necessary necessary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 44 12 conditions condition NNS work_ztbmh3tmarfpbmyhgxb56dczmy 44 13 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 44 14 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 44 15 extremum extremum NN work_ztbmh3tmarfpbmyhgxb56dczmy 44 16 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 44 17 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 44 18 9 9 CD work_ztbmh3tmarfpbmyhgxb56dczmy 44 19 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 44 20 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 44 21 relations relation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 44 22 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 44 23 8) 8) CD work_ztbmh3tmarfpbmyhgxb56dczmy 44 24 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 44 25 that that RB work_ztbmh3tmarfpbmyhgxb56dczmy 44 26 is is RB work_ztbmh3tmarfpbmyhgxb56dczmy 44 27 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 44 28 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 44 29 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 44 30 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 44 31 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 44 32 const const IN work_ztbmh3tmarfpbmyhgxb56dczmy 44 33 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 45 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 3 field field NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 5 theoretical theoretical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 45 6 physics physics NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 8 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 9 integral integral NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 11 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 12 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 13 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 45 14 9 9 CD work_ztbmh3tmarfpbmyhgxb56dczmy 45 15 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 45 16 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 45 17 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 45 18 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 19 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 20 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 21 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 23 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 24 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 45 25 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 45 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 27 assertion assertion NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 28 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 29 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 30 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 31 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 32 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 33 actual actual JJ work_ztbmh3tmarfpbmyhgxb56dczmy 45 34 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 35 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 45 36 minimal minimal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 45 37 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 45 38 called call VBN work_ztbmh3tmarfpbmyhgxb56dczmy 45 39 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 45 40 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 41 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 45 42 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 45 43 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 45 44 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 45 45 Cohen Cohen NNP work_ztbmh3tmarfpbmyhgxb56dczmy 45 46 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 45 47 1981 1981 CD work_ztbmh3tmarfpbmyhgxb56dczmy 45 48 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 45 49 Kompaneyets kompaneyet NNS work_ztbmh3tmarfpbmyhgxb56dczmy 45 50 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 45 51 1961 1961 CD work_ztbmh3tmarfpbmyhgxb56dczmy 45 52 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 45 53 Landau Landau NNS work_ztbmh3tmarfpbmyhgxb56dczmy 45 54 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 45 55 Lifshitz Lifshitz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 45 56 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 45 57 1969 1969 CD work_ztbmh3tmarfpbmyhgxb56dczmy 45 58 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 45 59 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 46 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 46 2 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 3 strict strict JJ work_ztbmh3tmarfpbmyhgxb56dczmy 46 4 sense sense NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 5 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 46 6 may may MD work_ztbmh3tmarfpbmyhgxb56dczmy 46 7 say say VB work_ztbmh3tmarfpbmyhgxb56dczmy 46 8 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 46 9 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 46 10 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 46 11 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 46 12 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 13 central central JJ work_ztbmh3tmarfpbmyhgxb56dczmy 46 14 nervous nervous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 46 15 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 16 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 46 17 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 18 strategy strategy NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 19 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 46 20 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 46 21 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 22 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 46 23 among among IN work_ztbmh3tmarfpbmyhgxb56dczmy 46 24 infinitely infinitely RB work_ztbmh3tmarfpbmyhgxb56dczmy 46 25 many many JJ work_ztbmh3tmarfpbmyhgxb56dczmy 46 26 ways way NNS work_ztbmh3tmarfpbmyhgxb56dczmy 46 27 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 46 28 execute execute VB work_ztbmh3tmarfpbmyhgxb56dczmy 46 29 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 30 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 46 31 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 32 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 46 33 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 34 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 46 35 chooses choose VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 46 36 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 46 37 most most RBS work_ztbmh3tmarfpbmyhgxb56dczmy 46 38 economical economical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 46 39 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 47 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 2 Section section NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 3 4 4 CD work_ztbmh3tmarfpbmyhgxb56dczmy 47 4 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 47 5 illustrate illustrate VBP work_ztbmh3tmarfpbmyhgxb56dczmy 47 6 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 7 statement statement NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 8 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 9 considering consider VBG work_ztbmh3tmarfpbmyhgxb56dczmy 47 10 three three CD work_ztbmh3tmarfpbmyhgxb56dczmy 47 11 different different JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 12 ways way NNS work_ztbmh3tmarfpbmyhgxb56dczmy 47 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 14 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 47 15 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 16 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 17 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 18 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 19 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 20 figure figure NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 47 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 23 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 24 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 25 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 26 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 27 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 28 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 47 29 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 30 case case NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 31 when when WRB work_ztbmh3tmarfpbmyhgxb56dczmy 47 32 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 33 x x NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 34 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 47 35 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 47 36 coordinates coordinate NNS work_ztbmh3tmarfpbmyhgxb56dczmy 47 37 oscillate oscillate VBP work_ztbmh3tmarfpbmyhgxb56dczmy 47 38 independently independently RB work_ztbmh3tmarfpbmyhgxb56dczmy 47 39 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 40 different different JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 41 angular angular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 42 frequencies frequency NNS work_ztbmh3tmarfpbmyhgxb56dczmy 47 43 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 47 44 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 47 45 motion motion NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 46 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 47 47 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 47 48 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 47 49 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 50 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 51 governed govern VBN work_ztbmh3tmarfpbmyhgxb56dczmy 47 52 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 53 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 47 54 strategy strategy NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 55 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 47 56 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 47 57 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 47 58 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 48 1 2 2 LS work_ztbmh3tmarfpbmyhgxb56dczmy 48 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 49 1 DIFFERENTIAL DIFFERENTIAL NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 2 FORM FORM NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 3 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 49 4 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 49 5 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 49 6 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 49 7 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 8 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 9 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 10 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 49 11 ITS its PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 49 12 PROPERTIES property NNS work_ztbmh3tmarfpbmyhgxb56dczmy 49 13 By by IN work_ztbmh3tmarfpbmyhgxb56dczmy 49 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 49 15 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 49 16 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 49 17 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 49 18 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 19 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 49 21 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 49 22 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 49 23 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 24 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 49 25 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 49 26 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 49 27 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 28 remains remain VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 49 29 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 49 30 during during IN work_ztbmh3tmarfpbmyhgxb56dczmy 49 31 trajectory trajectory CD work_ztbmh3tmarfpbmyhgxb56dczmy 49 32 execution execution NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 33 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 49 34 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 49 35 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 49 36 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 37 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 38 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 49 39 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 40 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 49 41 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 49 42 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 49 43 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 49 44 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 45 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 49 46 const const NN work_ztbmh3tmarfpbmyhgxb56dczmy 49 47 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 50 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 50 2 10 10 CD work_ztbmh3tmarfpbmyhgxb56dczmy 50 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 50 4 To to TO work_ztbmh3tmarfpbmyhgxb56dczmy 50 5 see see VB work_ztbmh3tmarfpbmyhgxb56dczmy 50 6 what what WP work_ztbmh3tmarfpbmyhgxb56dczmy 50 7 kind kind NN work_ztbmh3tmarfpbmyhgxb56dczmy 50 8 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 50 9 constraints constraint NNS work_ztbmh3tmarfpbmyhgxb56dczmy 50 10 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 50 11 imposes impose VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 50 12 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 50 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 50 14 parametric parametric JJ work_ztbmh3tmarfpbmyhgxb56dczmy 50 15 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 50 16 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 50 17 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 50 18 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 50 19 differentiate differentiate VBP work_ztbmh3tmarfpbmyhgxb56dczmy 50 20 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 50 21 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 50 22 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 50 23 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 50 24 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 50 25 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 50 26 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 50 27 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 50 28 y y NN work_ztbmh3tmarfpbmyhgxb56dczmy 50 29 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 51 1 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 51 2 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 51 3 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 51 4 x x UH work_ztbmh3tmarfpbmyhgxb56dczmy 51 5 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 52 1 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 52 2 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 52 3 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 52 4 11 11 CD work_ztbmh3tmarfpbmyhgxb56dczmy 52 5 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 52 6 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 52 7 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 52 8 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 53 1 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 53 2 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 53 3 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 53 4 y y FW work_ztbmh3tmarfpbmyhgxb56dczmy 53 5 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 54 1 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 2 * * NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 3 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 54 4 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 54 5 12 12 CD work_ztbmh3tmarfpbmyhgxb56dczmy 54 6 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 54 7 46 46 CD work_ztbmh3tmarfpbmyhgxb56dczmy 54 8 LEBEDEV LEBEDEV NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 54 10 TSUI TSUI NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 11 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 54 12 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 54 13 VAN VAN NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 14 GELDER GELDER NNP work_ztbmh3tmarfpbmyhgxb56dczmy 54 15 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 54 16 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 54 17 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 54 18 another another DT work_ztbmh3tmarfpbmyhgxb56dczmy 54 19 useful useful JJ work_ztbmh3tmarfpbmyhgxb56dczmy 54 20 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 54 21 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 54 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 54 23 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 54 24 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 54 25 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 54 26 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 54 27 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 54 28 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 55 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 55 2 states state VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 55 3 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 55 4 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 55 5 draw- draw- JJ work_ztbmh3tmarfpbmyhgxb56dczmy 55 6 ing ing NNP work_ztbmh3tmarfpbmyhgxb56dczmy 55 7 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 55 8 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 55 9 ratios ratio NNS work_ztbmh3tmarfpbmyhgxb56dczmy 55 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 55 11 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 55 12 third third JJ work_ztbmh3tmarfpbmyhgxb56dczmy 55 13 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 55 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 55 15 first first JJ work_ztbmh3tmarfpbmyhgxb56dczmy 55 16 derivatives derivative NNS work_ztbmh3tmarfpbmyhgxb56dczmy 55 17 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 55 18 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 55 19 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 55 20 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 55 21 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 55 22 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 55 23 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 55 24 equal equal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 55 25 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 56 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 56 2 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 56 3 immediately immediately RB work_ztbmh3tmarfpbmyhgxb56dczmy 56 4 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 56 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 56 6 12 12 CD work_ztbmh3tmarfpbmyhgxb56dczmy 56 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 56 8 that that WDT work_ztbmh3tmarfpbmyhgxb56dczmy 56 9 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 56 10 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 56 11 equa- equa- NNP work_ztbmh3tmarfpbmyhgxb56dczmy 56 12 tions tion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 56 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 56 14 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 56 15 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 56 16 x(t x(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 56 17 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 56 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 56 19 y(t y(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 56 20 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 56 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 56 22 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 56 23 simultaneously simultaneously RB work_ztbmh3tmarfpbmyhgxb56dczmy 56 24 satisfy satisfy VB work_ztbmh3tmarfpbmyhgxb56dczmy 56 25 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 56 26 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 56 27 u u NNP work_ztbmh3tmarfpbmyhgxb56dczmy 56 28 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 57 1 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 57 2 q(t q(t NN work_ztbmh3tmarfpbmyhgxb56dczmy 57 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 57 4 u u LS work_ztbmh3tmarfpbmyhgxb56dczmy 57 5 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 57 6 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 57 7 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 57 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 57 9 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 57 10 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 57 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 57 12 that that RB work_ztbmh3tmarfpbmyhgxb56dczmy 57 13 is is RB work_ztbmh3tmarfpbmyhgxb56dczmy 57 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 57 15 x x NNS work_ztbmh3tmarfpbmyhgxb56dczmy 57 16 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 58 1 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 58 2 q(t q(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 58 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 58 4 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 58 5 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 58 6 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 58 7 0 0 CD work_ztbmh3tmarfpbmyhgxb56dczmy 58 8 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 58 9 y y NN work_ztbmh3tmarfpbmyhgxb56dczmy 58 10 ! ! . work_ztbmh3tmarfpbmyhgxb56dczmy 59 1 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 59 2 q(t q(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 59 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 59 4 y y UH work_ztbmh3tmarfpbmyhgxb56dczmy 59 5 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 59 6 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 59 7 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 59 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 60 1 Equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 60 2 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 60 3 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 60 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 60 5 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 60 6 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 60 7 third third JJ work_ztbmh3tmarfpbmyhgxb56dczmy 60 8 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 60 9 order order NN work_ztbmh3tmarfpbmyhgxb56dczmy 60 10 linear linear NN work_ztbmh3tmarfpbmyhgxb56dczmy 60 11 ordinary ordinary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 60 12 differential differential NN work_ztbmh3tmarfpbmyhgxb56dczmy 60 13 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 60 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 61 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 61 2 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 61 3 homo- homo- FW work_ztbmh3tmarfpbmyhgxb56dczmy 61 4 geneous geneous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 61 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 61 6 right right JJ work_ztbmh3tmarfpbmyhgxb56dczmy 61 7 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 61 8 hand hand NN work_ztbmh3tmarfpbmyhgxb56dczmy 61 9 term term NN work_ztbmh3tmarfpbmyhgxb56dczmy 61 10 equals equal VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 61 11 zero zero CD work_ztbmh3tmarfpbmyhgxb56dczmy 61 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 61 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 61 14 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 61 15 its -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 61 16 solutions solution NNS work_ztbmh3tmarfpbmyhgxb56dczmy 61 17 depend depend VBP work_ztbmh3tmarfpbmyhgxb56dczmy 61 18 solely solely RB work_ztbmh3tmarfpbmyhgxb56dczmy 61 19 on on IN work_ztbmh3tmarfpbmyhgxb56dczmy 61 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 61 21 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 61 22 q(t q(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 61 23 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 61 24 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 62 1 Thus thus RB work_ztbmh3tmarfpbmyhgxb56dczmy 62 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 62 3 all all DT work_ztbmh3tmarfpbmyhgxb56dczmy 62 4 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 62 5 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 62 6 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 62 7 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 62 8 classified classify VBN work_ztbmh3tmarfpbmyhgxb56dczmy 62 9 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 62 10 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 62 11 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 62 12 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 62 13 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 62 14 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 62 15 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 62 16 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 62 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 63 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 63 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 63 3 next next JJ work_ztbmh3tmarfpbmyhgxb56dczmy 63 4 section section NN work_ztbmh3tmarfpbmyhgxb56dczmy 63 5 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 63 6 consider consider VBP work_ztbmh3tmarfpbmyhgxb56dczmy 63 7 three three CD work_ztbmh3tmarfpbmyhgxb56dczmy 63 8 simple simple JJ work_ztbmh3tmarfpbmyhgxb56dczmy 63 9 special special JJ work_ztbmh3tmarfpbmyhgxb56dczmy 63 10 cases case NNS work_ztbmh3tmarfpbmyhgxb56dczmy 63 11 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 63 12 q(t q(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 63 13 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 63 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 64 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 64 2 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 64 3 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 64 4 seen see VBN work_ztbmh3tmarfpbmyhgxb56dczmy 64 5 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 64 6 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 64 7 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 64 8 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 64 9 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 64 10 u u NNP work_ztbmh3tmarfpbmyhgxb56dczmy 64 11 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 64 12 const const NN work_ztbmh3tmarfpbmyhgxb56dczmy 64 13 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 64 14 one one CD work_ztbmh3tmarfpbmyhgxb56dczmy 64 15 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 64 16 its -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 64 17 solutions solution NNS work_ztbmh3tmarfpbmyhgxb56dczmy 64 18 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 65 1 Then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 65 2 its -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 65 3 general general JJ work_ztbmh3tmarfpbmyhgxb56dczmy 65 4 solution solution NN work_ztbmh3tmarfpbmyhgxb56dczmy 65 5 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 65 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 65 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 65 8 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 65 9 u u NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 10 = = NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 11 C0+C1 C0+C1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 12 w1(t w1(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 13 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 14 + + CC work_ztbmh3tmarfpbmyhgxb56dczmy 65 15 C2 C2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 16 w2(t w2(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 17 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 65 19 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 20 14 14 CD work_ztbmh3tmarfpbmyhgxb56dczmy 65 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 22 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 65 23 w1(t w1(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 24 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 25 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 65 26 w2(t w2(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 27 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 28 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 65 29 any any DT work_ztbmh3tmarfpbmyhgxb56dczmy 65 30 linearly linearly JJ work_ztbmh3tmarfpbmyhgxb56dczmy 65 31 independent independent JJ work_ztbmh3tmarfpbmyhgxb56dczmy 65 32 particular particular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 65 33 solutions solution NNS work_ztbmh3tmarfpbmyhgxb56dczmy 65 34 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 65 35 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 36 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 65 37 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 65 38 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 65 39 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 65 40 C0 C0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 41 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 65 42 C1 C1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 43 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 65 44 C2 C2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 65 45 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 65 46 arbitrary arbitrary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 65 47 constants constant NNS work_ztbmh3tmarfpbmyhgxb56dczmy 65 48 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 66 1 Without without IN work_ztbmh3tmarfpbmyhgxb56dczmy 66 2 loss loss NN work_ztbmh3tmarfpbmyhgxb56dczmy 66 3 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 66 4 generality generality NN work_ztbmh3tmarfpbmyhgxb56dczmy 66 5 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 66 6 assume assume VBP work_ztbmh3tmarfpbmyhgxb56dczmy 66 7 C0=0 c0=0 RB work_ztbmh3tmarfpbmyhgxb56dczmy 66 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 67 1 Then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 67 2 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 67 3 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 67 4 Cx Cx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 5 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 67 6 w1(t w1(t NNS work_ztbmh3tmarfpbmyhgxb56dczmy 67 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 67 8 + + NFP work_ztbmh3tmarfpbmyhgxb56dczmy 67 9 Cx Cx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 10 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 67 11 w2(t w2(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 67 13 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 14 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 67 15 Cy Cy NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 16 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 67 17 w1(t)+Cy w1(t)+cy CD work_ztbmh3tmarfpbmyhgxb56dczmy 67 18 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 67 19 w2(t w2(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 67 20 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 67 21 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 68 1 3 3 LS work_ztbmh3tmarfpbmyhgxb56dczmy 68 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 69 1 CONSTANT CONSTANT NNP work_ztbmh3tmarfpbmyhgxb56dczmy 69 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 69 3 COEFFICIENT COEFFICIENT VBN work_ztbmh3tmarfpbmyhgxb56dczmy 69 4 CASE case NN work_ztbmh3tmarfpbmyhgxb56dczmy 69 5 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 69 6 ELLIPSES ELLIPSES NNP work_ztbmh3tmarfpbmyhgxb56dczmy 69 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 69 8 HYPERBOLAS HYPERBOLAS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 69 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 69 10 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 69 11 PARABOLAS PARABOLAS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 69 12 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 69 13 simplest simple JJS work_ztbmh3tmarfpbmyhgxb56dczmy 69 14 case case NN work_ztbmh3tmarfpbmyhgxb56dczmy 69 15 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 69 16 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 69 17 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 69 18 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 69 19 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 69 20 obtained obtain VBN work_ztbmh3tmarfpbmyhgxb56dczmy 69 21 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 69 22 putting put VBG work_ztbmh3tmarfpbmyhgxb56dczmy 69 23 q(t q(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 69 24 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 69 25 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 69 26 const const IN work_ztbmh3tmarfpbmyhgxb56dczmy 69 27 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 70 1 If if IN work_ztbmh3tmarfpbmyhgxb56dczmy 70 2 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 70 3 constant constant NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 4 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 70 5 nonzero nonzero NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 6 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 70 7 then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 70 8 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 70 9 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 70 10 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 11 see see VB work_ztbmh3tmarfpbmyhgxb56dczmy 70 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 70 13 e.g. e.g. RB work_ztbmh3tmarfpbmyhgxb56dczmy 70 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 70 15 Korn Korn NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 16 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 17 Korn Korn NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 70 19 1968 1968 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 20 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 21 Class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 22 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 23 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 70 24 q=|2>0 q=|2>0 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 25 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 70 26 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 70 27 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 28 sin(|t+.1 sin(|t+.1 NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 29 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 30 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 31 15 15 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 32 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 33 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 34 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 70 35 A2 A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 36 sin(|t+.2 sin(|t+.2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 37 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 38 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 70 39 Class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 40 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 41 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 70 42 q=&|2<0 q=&|2<0 XX work_ztbmh3tmarfpbmyhgxb56dczmy 70 43 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 70 44 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 70 45 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 46 e e NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 47 |t+A2 |t+A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 48 e e NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 49 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 70 50 |t |t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 51 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 52 16 16 CD work_ztbmh3tmarfpbmyhgxb56dczmy 70 53 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 70 54 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 55 = = NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 56 B1 b1 NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 57 e e NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 58 |t |t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 59 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 70 60 B2 b2 NN work_ztbmh3tmarfpbmyhgxb56dczmy 70 61 e e NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 62 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 70 63 |t |t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 70 64 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 71 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 71 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 71 3 case case NN work_ztbmh3tmarfpbmyhgxb56dczmy 71 4 when when WRB work_ztbmh3tmarfpbmyhgxb56dczmy 71 5 q=0 q=0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 6 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 71 7 direct direct JJ work_ztbmh3tmarfpbmyhgxb56dczmy 71 8 integration integration NN work_ztbmh3tmarfpbmyhgxb56dczmy 71 9 leads lead VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 71 10 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 71 11 Class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 71 12 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 71 13 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 71 14 x x NN work_ztbmh3tmarfpbmyhgxb56dczmy 71 15 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 71 16 A0 a0 NN work_ztbmh3tmarfpbmyhgxb56dczmy 71 17 tA1 tA1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 18 t+A2 t+A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 19 t t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 20 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 71 21 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 22 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 71 23 B0 B0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 24 tB1 tB1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 25 t+B2 t+B2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 26 t t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 71 27 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 71 28 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 72 1 47DRAWING 47drawing CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 2 MOVEMENTS MOVEMENTS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 3 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 72 4 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 72 5 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 6 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 72 7 LEAST LEAST NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 8 ACTION action NN work_ztbmh3tmarfpbmyhgxb56dczmy 72 9 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 72 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 72 11 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 72 12 assigning assign VBG work_ztbmh3tmarfpbmyhgxb56dczmy 72 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 72 14 initial initial JJ work_ztbmh3tmarfpbmyhgxb56dczmy 72 15 positions position NNS work_ztbmh3tmarfpbmyhgxb56dczmy 72 16 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 72 17 zero zero CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 72 19 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 72 20 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 72 21 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 22 t+A2 t+a2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 23 t t NN work_ztbmh3tmarfpbmyhgxb56dczmy 72 24 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 25 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 72 26 17 17 CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 27 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 72 28 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 29 = = NN work_ztbmh3tmarfpbmyhgxb56dczmy 72 30 B1 b1 NN work_ztbmh3tmarfpbmyhgxb56dczmy 72 31 t+B2 t+B2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 72 32 t t NN work_ztbmh3tmarfpbmyhgxb56dczmy 72 33 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 72 34 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 73 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 2 motion motion NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 3 described describe VBN work_ztbmh3tmarfpbmyhgxb56dczmy 73 4 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 73 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 73 6 15 15 CD work_ztbmh3tmarfpbmyhgxb56dczmy 73 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 73 8 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 73 9 called call VBN work_ztbmh3tmarfpbmyhgxb56dczmy 73 10 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 11 elliptically elliptically RB work_ztbmh3tmarfpbmyhgxb56dczmy 73 12 polarized polarize VBN work_ztbmh3tmarfpbmyhgxb56dczmy 73 13 oscillation oscillation NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 14 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 73 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 16 term term NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 17 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 73 18 due due JJ work_ztbmh3tmarfpbmyhgxb56dczmy 73 19 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 73 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 21 fact fact NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 22 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 73 23 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 24 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 25 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 73 26 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 27 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 73 28 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 29 Cartesian cartesian JJ work_ztbmh3tmarfpbmyhgxb56dczmy 73 30 coordinate coordinate NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 31 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 32 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 73 33 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 73 34 ellipse ellipse NN work_ztbmh3tmarfpbmyhgxb56dczmy 73 35 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 73 36 Yavorsky Yavorsky NNP work_ztbmh3tmarfpbmyhgxb56dczmy 73 37 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 73 38 Detlaf Detlaf NNP work_ztbmh3tmarfpbmyhgxb56dczmy 73 39 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 73 40 1982 1982 CD work_ztbmh3tmarfpbmyhgxb56dczmy 73 41 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 73 42 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 74 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 74 2 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 3 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 74 4 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 5 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 74 6 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 74 7 16 16 CD work_ztbmh3tmarfpbmyhgxb56dczmy 74 8 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 74 9 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 74 10 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 74 11 hyperbola hyperbola NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 74 13 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 74 14 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 74 15 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 16 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 74 17 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 18 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 74 19 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 74 20 17 17 CD work_ztbmh3tmarfpbmyhgxb56dczmy 74 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 74 22 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 74 23 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 74 24 parabolic parabolic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 74 25 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 74 26 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 75 1 Thus thus RB work_ztbmh3tmarfpbmyhgxb56dczmy 75 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 3 whenever whenever WRB work_ztbmh3tmarfpbmyhgxb56dczmy 75 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 75 5 coefficient coefficient NN work_ztbmh3tmarfpbmyhgxb56dczmy 75 6 q q NN work_ztbmh3tmarfpbmyhgxb56dczmy 75 7 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 75 8 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 75 9 13 13 CD work_ztbmh3tmarfpbmyhgxb56dczmy 75 10 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 75 11 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 75 12 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 75 13 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 75 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 75 16 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 75 17 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 75 18 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 19 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 75 20 allows allow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 75 21 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 75 22 motor motor NN work_ztbmh3tmarfpbmyhgxb56dczmy 75 23 planning plan VBG work_ztbmh3tmarfpbmyhgxb56dczmy 75 24 only only RB work_ztbmh3tmarfpbmyhgxb56dczmy 75 25 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 75 26 terms term NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 27 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 75 28 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 75 29 second second JJ work_ztbmh3tmarfpbmyhgxb56dczmy 75 30 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 75 31 order order NN work_ztbmh3tmarfpbmyhgxb56dczmy 75 32 curves curve NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 33 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 75 34 ellipses ellipsis NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 35 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 36 hyperbolas hyperbolas NNP work_ztbmh3tmarfpbmyhgxb56dczmy 75 37 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 38 parabolas parabola NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 39 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 40 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 75 41 their -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 75 42 degenerated degenerate VBN work_ztbmh3tmarfpbmyhgxb56dczmy 75 43 cases case NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 44 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 45 e.g. e.g. RB work_ztbmh3tmarfpbmyhgxb56dczmy 75 46 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 75 47 straight straight JJ work_ztbmh3tmarfpbmyhgxb56dczmy 75 48 lines line NNS work_ztbmh3tmarfpbmyhgxb56dczmy 75 49 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 76 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 76 2 vast vast JJ work_ztbmh3tmarfpbmyhgxb56dczmy 76 3 majority majority NN work_ztbmh3tmarfpbmyhgxb56dczmy 76 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 76 5 experimental experimental JJ work_ztbmh3tmarfpbmyhgxb56dczmy 76 6 studies study NNS work_ztbmh3tmarfpbmyhgxb56dczmy 76 7 exploit exploit VBP work_ztbmh3tmarfpbmyhgxb56dczmy 76 8 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 76 9 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 76 10 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 76 11 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 77 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 77 3 study study NN work_ztbmh3tmarfpbmyhgxb56dczmy 77 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 5 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 77 6 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 77 7 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 8 children child NNS work_ztbmh3tmarfpbmyhgxb56dczmy 77 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 77 10 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 11 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 77 12 Schneider Schneider NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 13 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 77 14 1991 1991 CD work_ztbmh3tmarfpbmyhgxb56dczmy 77 15 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 77 16 con- con- NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 17 sidered sidere VBD work_ztbmh3tmarfpbmyhgxb56dczmy 77 18 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 77 19 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 20 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 77 21 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 77 22 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 77 23 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 24 tangential tangential JJ work_ztbmh3tmarfpbmyhgxb56dczmy 77 25 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 77 26 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 77 27 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 77 28 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 77 29 V(t)=K V(t)=K NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 30 } } -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 77 31 R(t R(t NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 32 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 77 33 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 77 34 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 77 35 K K NNP work_ztbmh3tmarfpbmyhgxb56dczmy 77 36 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 77 37 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 77 38 > > XX work_ztbmh3tmarfpbmyhgxb56dczmy 77 39 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 77 40 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 78 1 They -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 78 2 define define VBP work_ztbmh3tmarfpbmyhgxb56dczmy 78 3 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 78 4 class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 78 5 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 78 6 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 78 7 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 78 8 generalized generalize VBN work_ztbmh3tmarfpbmyhgxb56dczmy 78 9 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 78 10 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 78 11 motion motion NN work_ztbmh3tmarfpbmyhgxb56dczmy 78 12 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 78 13 GLEM GLEM NNP work_ztbmh3tmarfpbmyhgxb56dczmy 78 14 model model NN work_ztbmh3tmarfpbmyhgxb56dczmy 78 15 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 78 16 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 79 1 When when WRB work_ztbmh3tmarfpbmyhgxb56dczmy 79 2 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 79 3 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 79 4 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 79 5 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 79 6 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 79 7 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 79 8 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 79 9 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 79 10 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 79 11 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 79 12 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 79 13 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 14 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 15 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 16 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 79 17 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 79 18 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 79 19 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 20 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 79 21 that that RB work_ztbmh3tmarfpbmyhgxb56dczmy 79 22 is is RB work_ztbmh3tmarfpbmyhgxb56dczmy 79 23 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 79 24 mutually mutually RB work_ztbmh3tmarfpbmyhgxb56dczmy 79 25 perpendicular perpendicular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 79 26 harmonic harmonic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 79 27 oscillations oscillation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 79 28 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 79 29 equal equal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 79 30 frequency frequency NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 31 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 79 32 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 79 33 our -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 79 34 Class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 79 35 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 79 36 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 80 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 80 2 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 80 3 other other JJ work_ztbmh3tmarfpbmyhgxb56dczmy 80 4 classes class NNS work_ztbmh3tmarfpbmyhgxb56dczmy 80 5 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 80 6 never never RB work_ztbmh3tmarfpbmyhgxb56dczmy 80 7 been be VBN work_ztbmh3tmarfpbmyhgxb56dczmy 80 8 used use VBN work_ztbmh3tmarfpbmyhgxb56dczmy 80 9 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 81 1 4 4 LS work_ztbmh3tmarfpbmyhgxb56dczmy 81 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 82 1 LISSAJOUS LISSAJOUS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 2 MOTIONS motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 82 3 DO do VBP work_ztbmh3tmarfpbmyhgxb56dczmy 82 4 NOT not RB work_ztbmh3tmarfpbmyhgxb56dczmy 82 5 OBEY obey VB work_ztbmh3tmarfpbmyhgxb56dczmy 82 6 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 82 7 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 8 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 82 9 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 10 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 82 11 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 82 12 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 82 13 class class NN work_ztbmh3tmarfpbmyhgxb56dczmy 82 14 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 82 15 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 82 16 motions motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 82 17 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 82 18 defined define VBN work_ztbmh3tmarfpbmyhgxb56dczmy 82 19 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 82 20 harmonic harmonic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 82 21 oscillations oscillation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 82 22 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 82 23 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 82 24 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 82 25 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 82 26 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 82 27 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 28 sin(| sin(| NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 29 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 30 t+.1 t+.1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 31 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 32 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 33 18 18 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 34 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 35 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 36 = = CC work_ztbmh3tmarfpbmyhgxb56dczmy 82 37 A2 A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 38 sin(|2 sin(|2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 39 t+.2 t+.2 NN work_ztbmh3tmarfpbmyhgxb56dczmy 82 40 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 41 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 42 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 82 43 commensurable commensurable JJ work_ztbmh3tmarfpbmyhgxb56dczmy 82 44 angular angular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 82 45 frequencies frequency NNS work_ztbmh3tmarfpbmyhgxb56dczmy 82 46 |1 |1 . work_ztbmh3tmarfpbmyhgxb56dczmy 82 47 |2 |2 ADD work_ztbmh3tmarfpbmyhgxb56dczmy 82 48 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 82 49 n1 n1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 50 n2 n2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 51 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 52 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 82 53 n1 n1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 54 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 55 n2 n2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 56 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 82 57 some some DT work_ztbmh3tmarfpbmyhgxb56dczmy 82 58 integers integer NNS work_ztbmh3tmarfpbmyhgxb56dczmy 82 59 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 60 e.g. e.g. RB work_ztbmh3tmarfpbmyhgxb56dczmy 82 61 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 62 Symon Symon NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 63 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 64 1953 1953 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 65 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 82 66 Yavorsky Yavorsky NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 67 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 68 Detlaf Detlaf NNP work_ztbmh3tmarfpbmyhgxb56dczmy 82 69 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 82 70 1982 1982 CD work_ztbmh3tmarfpbmyhgxb56dczmy 82 71 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 82 72 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 83 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 83 2 closed closed JJ work_ztbmh3tmarfpbmyhgxb56dczmy 83 3 paths path NNS work_ztbmh3tmarfpbmyhgxb56dczmy 83 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 83 5 such such JJ work_ztbmh3tmarfpbmyhgxb56dczmy 83 6 motions motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 83 7 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 83 8 called call VBN work_ztbmh3tmarfpbmyhgxb56dczmy 83 9 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 83 10 figures figure NNS work_ztbmh3tmarfpbmyhgxb56dczmy 83 11 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 84 1 Figure figure NN work_ztbmh3tmarfpbmyhgxb56dczmy 84 2 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 84 3 presents present VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 84 4 one one CD work_ztbmh3tmarfpbmyhgxb56dczmy 84 5 such such JJ work_ztbmh3tmarfpbmyhgxb56dczmy 84 6 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 84 7 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 84 8 |2=2|1 |2=2|1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 84 9 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 85 1 By by IN work_ztbmh3tmarfpbmyhgxb56dczmy 85 2 taking take VBG work_ztbmh3tmarfpbmyhgxb56dczmy 85 3 first first JJ work_ztbmh3tmarfpbmyhgxb56dczmy 85 4 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 85 5 third third JJ work_ztbmh3tmarfpbmyhgxb56dczmy 85 6 derivatives derivative NNS work_ztbmh3tmarfpbmyhgxb56dczmy 85 7 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 85 8 Eq Eq NNP work_ztbmh3tmarfpbmyhgxb56dczmy 85 9 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 86 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 86 2 18 18 CD work_ztbmh3tmarfpbmyhgxb56dczmy 86 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 86 4 one one PRP work_ztbmh3tmarfpbmyhgxb56dczmy 86 5 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 86 6 see see VB work_ztbmh3tmarfpbmyhgxb56dczmy 86 7 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 86 8 whenever whenever WRB work_ztbmh3tmarfpbmyhgxb56dczmy 86 9 |1{|2 |1{|2 RB work_ztbmh3tmarfpbmyhgxb56dczmy 86 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 86 11 Eq Eq NNP work_ztbmh3tmarfpbmyhgxb56dczmy 86 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 87 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 87 2 12 12 CD work_ztbmh3tmarfpbmyhgxb56dczmy 87 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 87 4 does do VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 87 5 not not RB work_ztbmh3tmarfpbmyhgxb56dczmy 87 6 hold hold VB work_ztbmh3tmarfpbmyhgxb56dczmy 87 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 88 1 Thus thus RB work_ztbmh3tmarfpbmyhgxb56dczmy 88 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 88 3 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 88 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 88 5 exception exception NN work_ztbmh3tmarfpbmyhgxb56dczmy 88 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 88 7 simple simple JJ work_ztbmh3tmarfpbmyhgxb56dczmy 88 8 harmonic harmonic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 88 9 oscillations oscillation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 88 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 88 11 equal equal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 88 12 angular angular JJ work_ztbmh3tmarfpbmyhgxb56dczmy 88 13 frequencies frequency NNS work_ztbmh3tmarfpbmyhgxb56dczmy 88 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 88 15 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 88 16 motions motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 88 17 do do VBP work_ztbmh3tmarfpbmyhgxb56dczmy 88 18 not not RB work_ztbmh3tmarfpbmyhgxb56dczmy 88 19 obey obey VB work_ztbmh3tmarfpbmyhgxb56dczmy 88 20 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 88 21 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 88 22 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 88 23 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 88 24 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 88 25 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 88 26 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 89 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 89 2 Appendix Appendix NNP work_ztbmh3tmarfpbmyhgxb56dczmy 89 3 B B NNP work_ztbmh3tmarfpbmyhgxb56dczmy 89 4 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 89 5 derive derive VBP work_ztbmh3tmarfpbmyhgxb56dczmy 89 6 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 89 7 necessary necessary JJ work_ztbmh3tmarfpbmyhgxb56dczmy 89 8 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 89 9 draw draw VB work_ztbmh3tmarfpbmyhgxb56dczmy 89 10 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 89 11 figures figure NNS work_ztbmh3tmarfpbmyhgxb56dczmy 89 12 obeying obey VBG work_ztbmh3tmarfpbmyhgxb56dczmy 89 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 89 14 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 89 15 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 89 16 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 89 17 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 89 18 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 89 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 89 20 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 89 21 Fig Fig NNP work_ztbmh3tmarfpbmyhgxb56dczmy 89 22 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 90 1 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 90 2 provides provide VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 90 3 an an DT work_ztbmh3tmarfpbmyhgxb56dczmy 90 4 example example NN work_ztbmh3tmarfpbmyhgxb56dczmy 90 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 91 1 48 48 CD work_ztbmh3tmarfpbmyhgxb56dczmy 91 2 LEBEDEV LEBEDEV NNP work_ztbmh3tmarfpbmyhgxb56dczmy 91 3 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 91 4 TSUI TSUI NNP work_ztbmh3tmarfpbmyhgxb56dczmy 91 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 91 6 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 91 7 VAN VAN NNP work_ztbmh3tmarfpbmyhgxb56dczmy 91 8 GELDER GELDER NNP work_ztbmh3tmarfpbmyhgxb56dczmy 91 9 FIG FIG NNP work_ztbmh3tmarfpbmyhgxb56dczmy 91 10 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 92 1 2 2 LS work_ztbmh3tmarfpbmyhgxb56dczmy 92 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 93 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 93 2 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 93 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 93 4 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 93 5 figure figure NN work_ztbmh3tmarfpbmyhgxb56dczmy 93 6 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 93 7 x=25 x=25 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 93 8 sin(0.2?t+0 sin(0.2?t+0 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 93 9 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 93 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 93 11 y=19 y=19 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 93 12 sin(0.4?t+180 sin(0.4?t+180 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 93 13 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 93 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 94 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 94 2 figure figure NN work_ztbmh3tmarfpbmyhgxb56dczmy 94 3 consists consist VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 94 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 94 5 four four CD work_ztbmh3tmarfpbmyhgxb56dczmy 94 6 identical identical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 94 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 94 8 mirror mirror NN work_ztbmh3tmarfpbmyhgxb56dczmy 94 9 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 94 10 transformed transform VBN work_ztbmh3tmarfpbmyhgxb56dczmy 94 11 segments segment NNS work_ztbmh3tmarfpbmyhgxb56dczmy 94 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 95 1 If if IN work_ztbmh3tmarfpbmyhgxb56dczmy 95 2 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 3 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 95 4 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 95 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 6 above above JJ work_ztbmh3tmarfpbmyhgxb56dczmy 95 7 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 95 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 95 9 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 95 10 will will MD work_ztbmh3tmarfpbmyhgxb56dczmy 95 11 have have VB work_ztbmh3tmarfpbmyhgxb56dczmy 95 12 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 13 period period NN work_ztbmh3tmarfpbmyhgxb56dczmy 95 14 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 95 15 10 10 CD work_ztbmh3tmarfpbmyhgxb56dczmy 95 16 s. s. NN work_ztbmh3tmarfpbmyhgxb56dczmy 95 17 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 18 data datum NNS work_ztbmh3tmarfpbmyhgxb56dczmy 95 19 present present JJ work_ztbmh3tmarfpbmyhgxb56dczmy 95 20 counterclockwise counterclockwise JJ work_ztbmh3tmarfpbmyhgxb56dczmy 95 21 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 95 22 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 95 23 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 24 lower low JJR work_ztbmh3tmarfpbmyhgxb56dczmy 95 25 right right JJ work_ztbmh3tmarfpbmyhgxb56dczmy 95 26 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 95 27 beginning begin VBG work_ztbmh3tmarfpbmyhgxb56dczmy 95 28 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 95 29 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 95 30 center center NN work_ztbmh3tmarfpbmyhgxb56dczmy 95 31 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 96 1 All all DT work_ztbmh3tmarfpbmyhgxb56dczmy 96 2 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 96 3 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 96 4 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 96 5 accomplished accomplish VBN work_ztbmh3tmarfpbmyhgxb56dczmy 96 6 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 96 7 2.5 2.5 CD work_ztbmh3tmarfpbmyhgxb56dczmy 96 8 s. s. NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 9 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 10 B b NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 12 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 96 13 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 96 14 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 15 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 96 16 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 96 17 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 96 18 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 96 19 function function NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 20 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 96 21 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 22 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 96 23 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 96 24 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 25 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 26 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 27 short short RB work_ztbmh3tmarfpbmyhgxb56dczmy 96 28 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 96 29 dashed dash VBN work_ztbmh3tmarfpbmyhgxb56dczmy 96 30 line line NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 31 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 32 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 96 33 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 96 34 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 35 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 36 long long RB work_ztbmh3tmarfpbmyhgxb56dczmy 96 37 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 96 38 dashed dash VBN work_ztbmh3tmarfpbmyhgxb56dczmy 96 39 line line NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 40 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 41 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 96 42 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 96 43 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 96 44 optimal optimal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 96 45 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 96 46 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 96 47 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 96 48 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 96 49 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 50 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 51 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 52 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 53 solid solid JJ work_ztbmh3tmarfpbmyhgxb56dczmy 96 54 line line NN work_ztbmh3tmarfpbmyhgxb56dczmy 96 55 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 96 56 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 97 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 97 2 C C NNP work_ztbmh3tmarfpbmyhgxb56dczmy 97 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 97 4 Mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 97 5 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 97 6 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 97 7 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 97 8 function function NN work_ztbmh3tmarfpbmyhgxb56dczmy 97 9 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 97 10 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 97 11 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 97 12 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 97 13 each each DT work_ztbmh3tmarfpbmyhgxb56dczmy 97 14 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 97 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 97 16 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 97 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 98 1 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 98 2 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 98 3 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 98 4 seen see VBN work_ztbmh3tmarfpbmyhgxb56dczmy 98 5 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 98 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 98 7 integral integral NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 8 assumes assume VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 98 9 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 98 10 minimum minimum JJ work_ztbmh3tmarfpbmyhgxb56dczmy 98 11 value value NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 12 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 98 13 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 98 14 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 98 15 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 98 16 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 98 17 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 18 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 98 20 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 98 21 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 98 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 98 23 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 98 24 velocity velocity NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 25 strategy strategy NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 26 requires require VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 98 27 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 98 28 greatest great JJS work_ztbmh3tmarfpbmyhgxb56dczmy 98 29 amount amount NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 30 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 98 31 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 98 32 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 98 33 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 99 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 99 2 D d NN work_ztbmh3tmarfpbmyhgxb56dczmy 99 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 99 4 Velocities velocity NNS work_ztbmh3tmarfpbmyhgxb56dczmy 99 5 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 99 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 99 7 respective respective JJ work_ztbmh3tmarfpbmyhgxb56dczmy 99 8 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 99 9 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 100 1 5 5 CD work_ztbmh3tmarfpbmyhgxb56dczmy 100 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 101 1 DISCUSSION DISCUSSION NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 2 It -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 101 3 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 101 4 generally generally RB work_ztbmh3tmarfpbmyhgxb56dczmy 101 5 accepted accept VBN work_ztbmh3tmarfpbmyhgxb56dczmy 101 6 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 7 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 8 fields field NNS work_ztbmh3tmarfpbmyhgxb56dczmy 101 9 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 10 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 101 11 motions motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 101 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 13 handwriting handwriting NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 15 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 101 16 similar similar JJ work_ztbmh3tmarfpbmyhgxb56dczmy 101 17 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 101 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 19 that that DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 20 motor motor NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 21 planning planning NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 22 takes take VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 101 23 place place NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 24 prior prior RB work_ztbmh3tmarfpbmyhgxb56dczmy 101 25 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 27 inception inception NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 28 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 29 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 30 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 101 31 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 32 complex complex JJ work_ztbmh3tmarfpbmyhgxb56dczmy 101 33 trajectory trajectory NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 34 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 101 35 planned plan VBN work_ztbmh3tmarfpbmyhgxb56dczmy 101 36 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 37 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 38 chain chain NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 39 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 40 concatenated concatenate VBN work_ztbmh3tmarfpbmyhgxb56dczmy 101 41 segments segment NNS work_ztbmh3tmarfpbmyhgxb56dczmy 101 42 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 43 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 101 44 each each DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 45 segment segment NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 46 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 101 47 executed execute VBN work_ztbmh3tmarfpbmyhgxb56dczmy 101 48 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 101 49 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 101 50 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 51 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 101 52 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 101 53 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 54 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 101 55 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 101 56 Massey Massey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 57 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 58 Lurito Lurito NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 59 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 60 Pellitzer Pellitzer NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 61 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 62 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 63 Georgopoulos Georgopoulos NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 101 64 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 65 1992 1992 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 66 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 101 67 Schwartz Schwartz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 68 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 69 1994 1994 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 70 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 101 71 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 72 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 73 Flash Flash NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 74 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 75 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 76 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 101 77 Wolpert Wolpert NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 78 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 79 Ghahramany Ghahramany NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 80 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 81 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 82 Jordan Jordan NNP work_ztbmh3tmarfpbmyhgxb56dczmy 101 83 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 101 84 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 101 85 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 101 86 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 102 1 One one CD work_ztbmh3tmarfpbmyhgxb56dczmy 102 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 102 3 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 4 articles article NNS work_ztbmh3tmarfpbmyhgxb56dczmy 102 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 102 6 Massey Massey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 7 et et NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 8 al al NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 9 . . NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 102 11 1992 1992 CD work_ztbmh3tmarfpbmyhgxb56dczmy 102 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 102 13 ends end VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 102 14 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 102 15 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 16 statement statement NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 17 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 102 18 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 102 19 ` ` '' work_ztbmh3tmarfpbmyhgxb56dczmy 102 20 However however RB work_ztbmh3tmarfpbmyhgxb56dczmy 102 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 102 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 23 neural neural JJ work_ztbmh3tmarfpbmyhgxb56dczmy 102 24 basis basis NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 25 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 102 26 would would MD work_ztbmh3tmarfpbmyhgxb56dczmy 102 27 explain explain VB work_ztbmh3tmarfpbmyhgxb56dczmy 102 28 why why WRB work_ztbmh3tmarfpbmyhgxb56dczmy 102 29 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 30 relation relation NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 31 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 102 32 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 33 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 34 49DRAWING 49drawing CD work_ztbmh3tmarfpbmyhgxb56dczmy 102 35 MOVEMENTS MOVEMENTS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 36 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 102 37 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 102 38 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 102 39 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 102 40 LEAST LEAST JJS work_ztbmh3tmarfpbmyhgxb56dczmy 102 41 ACTION action NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 42 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 43 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 102 44 relatively relatively RB work_ztbmh3tmarfpbmyhgxb56dczmy 102 45 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 102 46 exponent exponent NN work_ztbmh3tmarfpbmyhgxb56dczmy 102 47 remains remain VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 102 48 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 102 49 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 102 50 explored explore VBN work_ztbmh3tmarfpbmyhgxb56dczmy 102 51 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 103 1 ' ' `` work_ztbmh3tmarfpbmyhgxb56dczmy 103 2 ' ' '' work_ztbmh3tmarfpbmyhgxb56dczmy 103 3 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 103 4 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 103 5 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 103 6 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 103 7 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 103 8 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 103 9 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 103 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 103 11 most most RBS work_ztbmh3tmarfpbmyhgxb56dczmy 103 12 general general JJ work_ztbmh3tmarfpbmyhgxb56dczmy 103 13 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 103 14 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 103 15 describe describe VB work_ztbmh3tmarfpbmyhgxb56dczmy 103 16 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 103 17 behavior behavior NN work_ztbmh3tmarfpbmyhgxb56dczmy 103 18 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 103 19 any any DT work_ztbmh3tmarfpbmyhgxb56dczmy 103 20 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 103 21 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 103 22 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 103 23 Landau Landau NNP work_ztbmh3tmarfpbmyhgxb56dczmy 103 24 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 103 25 Lifshitz Lifshitz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 103 26 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 103 27 1969 1969 CD work_ztbmh3tmarfpbmyhgxb56dczmy 103 28 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 103 29 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 104 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 104 2 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 104 3 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 104 4 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 104 5 deal deal VBP work_ztbmh3tmarfpbmyhgxb56dczmy 104 6 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 104 7 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 104 8 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 104 9 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 104 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 104 11 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 104 12 special special JJ work_ztbmh3tmarfpbmyhgxb56dczmy 104 13 nature nature NN work_ztbmh3tmarfpbmyhgxb56dczmy 104 14 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 104 15 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 104 16 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 104 17 planned plan VBN work_ztbmh3tmarfpbmyhgxb56dczmy 104 18 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 104 19 governed govern VBN work_ztbmh3tmarfpbmyhgxb56dczmy 104 20 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 104 21 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 104 22 central central JJ work_ztbmh3tmarfpbmyhgxb56dczmy 104 23 nervous nervous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 104 24 system system NN work_ztbmh3tmarfpbmyhgxb56dczmy 104 25 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 104 26 CNS CNS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 104 27 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 104 28 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 105 1 From from IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 3 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 5 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 105 6 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 7 it -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 105 8 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 105 9 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 11 CNS CNS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 105 12 does do VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 105 13 not not RB work_ztbmh3tmarfpbmyhgxb56dczmy 105 14 impose impose VB work_ztbmh3tmarfpbmyhgxb56dczmy 105 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 16 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 17 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 18 directly directly RB work_ztbmh3tmarfpbmyhgxb56dczmy 105 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 105 20 but but CC work_ztbmh3tmarfpbmyhgxb56dczmy 105 21 follows follow VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 105 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 23 strategy strategy NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 24 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 25 accomplishing accomplish VBG work_ztbmh3tmarfpbmyhgxb56dczmy 105 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 27 desired desire VBN work_ztbmh3tmarfpbmyhgxb56dczmy 105 28 goal goal NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 29 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 30 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 31 preset preset JJ work_ztbmh3tmarfpbmyhgxb56dczmy 105 32 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 33 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 105 34 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 105 35 minimum minimum JJ work_ztbmh3tmarfpbmyhgxb56dczmy 105 36 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 105 37 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 105 38 required require VBN work_ztbmh3tmarfpbmyhgxb56dczmy 105 39 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 106 1 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 106 2 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 106 3 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 106 4 templates template NNS work_ztbmh3tmarfpbmyhgxb56dczmy 106 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 106 6 both both CC work_ztbmh3tmarfpbmyhgxb56dczmy 106 7 accuracy accuracy NN work_ztbmh3tmarfpbmyhgxb56dczmy 106 8 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 106 9 consistency consistency NN work_ztbmh3tmarfpbmyhgxb56dczmy 106 10 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 106 11 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 106 12 increase increase NN work_ztbmh3tmarfpbmyhgxb56dczmy 106 13 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 106 14 age age NN work_ztbmh3tmarfpbmyhgxb56dczmy 106 15 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 106 16 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 106 17 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 106 18 Schneider Schneider NNP work_ztbmh3tmarfpbmyhgxb56dczmy 106 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 106 20 1991 1991 CD work_ztbmh3tmarfpbmyhgxb56dczmy 106 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 106 22 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 107 1 Rhesus Rhesus NNP work_ztbmh3tmarfpbmyhgxb56dczmy 107 2 monkeys monkey NNS work_ztbmh3tmarfpbmyhgxb56dczmy 107 3 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 107 4 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 107 5 trained train VBN work_ztbmh3tmarfpbmyhgxb56dczmy 107 6 properly properly RB work_ztbmh3tmarfpbmyhgxb56dczmy 107 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 107 8 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 9 rewards reward NNS work_ztbmh3tmarfpbmyhgxb56dczmy 107 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 107 11 before before IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 12 they -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 107 13 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 107 14 able able JJ work_ztbmh3tmarfpbmyhgxb56dczmy 107 15 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 107 16 draw draw VB work_ztbmh3tmarfpbmyhgxb56dczmy 107 17 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 107 18 spiral spiral NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 19 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 107 20 but but CC work_ztbmh3tmarfpbmyhgxb56dczmy 107 21 after after IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 22 successful successful JJ work_ztbmh3tmarfpbmyhgxb56dczmy 107 23 training training NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 24 they -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 107 25 perform perform VBP work_ztbmh3tmarfpbmyhgxb56dczmy 107 26 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 107 27 task task NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 28 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 29 humans human NNS work_ztbmh3tmarfpbmyhgxb56dczmy 107 30 do do VBP work_ztbmh3tmarfpbmyhgxb56dczmy 107 31 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 107 32 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 33 compliance compliance NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 34 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 107 35 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 107 36 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 107 37 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 107 38 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 107 39 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 40 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 107 41 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 107 42 Schwartz Schwartz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 107 43 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 107 44 1994 1994 CD work_ztbmh3tmarfpbmyhgxb56dczmy 107 45 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 107 46 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 108 1 These these DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 2 facts fact NNS work_ztbmh3tmarfpbmyhgxb56dczmy 108 3 suggest suggest VBP work_ztbmh3tmarfpbmyhgxb56dczmy 108 4 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 6 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 108 7 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 108 8 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 108 9 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 10 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 11 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 108 12 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 13 result result NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 14 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 15 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 16 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 17 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 18 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 108 19 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 20 acquired acquire VBD work_ztbmh3tmarfpbmyhgxb56dczmy 108 21 through through IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 22 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 23 training training NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 24 process process NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 25 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 108 26 among among IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 27 infinitely infinitely RB work_ztbmh3tmarfpbmyhgxb56dczmy 108 28 many many JJ work_ztbmh3tmarfpbmyhgxb56dczmy 108 29 possible possible JJ work_ztbmh3tmarfpbmyhgxb56dczmy 108 30 ways way NNS work_ztbmh3tmarfpbmyhgxb56dczmy 108 31 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 108 32 move move VB work_ztbmh3tmarfpbmyhgxb56dczmy 108 33 along along IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 34 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 35 given give VBN work_ztbmh3tmarfpbmyhgxb56dczmy 108 36 path path NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 37 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 108 38 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 39 CNS CNS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 108 40 chooses choose VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 108 41 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 42 one one CD work_ztbmh3tmarfpbmyhgxb56dczmy 108 43 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 108 44 minimizes minimize VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 108 45 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 46 amount amount NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 47 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 108 48 mechanical mechanical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 108 49 work work NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 50 needed need VBN work_ztbmh3tmarfpbmyhgxb56dczmy 108 51 to to TO work_ztbmh3tmarfpbmyhgxb56dczmy 108 52 perform perform VB work_ztbmh3tmarfpbmyhgxb56dczmy 108 53 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 108 54 desired desire VBN work_ztbmh3tmarfpbmyhgxb56dczmy 108 55 task task NN work_ztbmh3tmarfpbmyhgxb56dczmy 108 56 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 109 1 APPENDIX APPENDIX NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 2 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 109 4 DERIVATION derivation NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 5 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 6 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 7 TWO TWO NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 8 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 109 9 THIRDS thirds NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 10 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 11 FROM from IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 12 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 13 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 14 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 15 LEAST least NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 16 ACTION action NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 17 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 109 18 show show VBP work_ztbmh3tmarfpbmyhgxb56dczmy 109 19 here here RB work_ztbmh3tmarfpbmyhgxb56dczmy 109 20 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 21 if if IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 22 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 23 functional functional JJ work_ztbmh3tmarfpbmyhgxb56dczmy 109 24 I=| I=| NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 25 T1 T1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 26 T0 t0 NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 27 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 109 28 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 109 29 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 109 30 dt dt PRP work_ztbmh3tmarfpbmyhgxb56dczmy 109 31 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 109 32 A1.1 A1.1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 109 33 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 109 34 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 109 35 minimal minimal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 109 36 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 109 37 then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 109 38 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 39 Lagrangian lagrangian JJ work_ztbmh3tmarfpbmyhgxb56dczmy 109 40 function function NN work_ztbmh3tmarfpbmyhgxb56dczmy 109 41 must must MD work_ztbmh3tmarfpbmyhgxb56dczmy 109 42 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 109 43 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 109 44 constant constant JJ work_ztbmh3tmarfpbmyhgxb56dczmy 109 45 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 109 46 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 109 47 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 109 48 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 109 49 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 109 50 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 109 51 const const IN work_ztbmh3tmarfpbmyhgxb56dczmy 109 52 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 110 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 2 A1.2 a1.2 NN work_ztbmh3tmarfpbmyhgxb56dczmy 110 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 4 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 110 5 Euler Euler NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 6 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 7 Lagrange lagrange NN work_ztbmh3tmarfpbmyhgxb56dczmy 110 8 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 110 9 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 110 10 Fx Fx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 11 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 110 12 d d NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 13 dt dt NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 14 Fx Fx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 15 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 110 16 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 110 17 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 110 18 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 110 19 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 20 A1.3 A1.3 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 21 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 22 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 110 23 Fx Fx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 24 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 110 25 Fx fx UH work_ztbmh3tmarfpbmyhgxb56dczmy 110 26 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 110 27 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 110 28 partial partial JJ work_ztbmh3tmarfpbmyhgxb56dczmy 110 29 derivatives derivative NNS work_ztbmh3tmarfpbmyhgxb56dczmy 110 30 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 110 31 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 110 32 Lagrangian lagrangian JJ work_ztbmh3tmarfpbmyhgxb56dczmy 110 33 function function NN work_ztbmh3tmarfpbmyhgxb56dczmy 110 34 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 110 35 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 36 A1.1 A1.1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 110 37 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 110 38 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 110 39 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 110 40 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 110 41 x x NNS work_ztbmh3tmarfpbmyhgxb56dczmy 110 42 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 110 43 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 110 44 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 110 45 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 111 1 For for IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 3 function function NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 4 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 5 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 6 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 7 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 111 8 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 111 9 Fx Fx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 10 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 11 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 12 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 13 3yx$$$ 3yx$$$ CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 111 15 Fx fx NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 16 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 17 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 18 3x 3x CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 19 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 20 2y"x 2y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 111 22 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 111 23 d d LS work_ztbmh3tmarfpbmyhgxb56dczmy 111 24 dt dt NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 25 Fx Fx NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 26 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 27 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 28 6x 6x CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 29 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 30 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 111 31 � � NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 32 y"x+3x y"x+3x NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 33 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 111 34 3yx$$$ 3yx$$$ CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 35 ; ; : work_ztbmh3tmarfpbmyhgxb56dczmy 111 36 50 50 CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 37 LEBEDEV LEBEDEV NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 38 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 111 39 TSUI TSUI NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 40 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 111 41 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 111 42 VAN VAN NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 43 GELDER GELDER NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 44 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 45 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 46 similar similar JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 47 question question NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 48 could could MD work_ztbmh3tmarfpbmyhgxb56dczmy 111 49 have have VB work_ztbmh3tmarfpbmyhgxb56dczmy 111 50 been be VBN work_ztbmh3tmarfpbmyhgxb56dczmy 111 51 applied apply VBN work_ztbmh3tmarfpbmyhgxb56dczmy 111 52 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 53 Kepler Kepler NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 54 's 's POS work_ztbmh3tmarfpbmyhgxb56dczmy 111 55 famous famous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 56 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 111 57 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 111 58 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 59 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 60 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 61 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 111 62 known know VBN work_ztbmh3tmarfpbmyhgxb56dczmy 111 63 as as IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 64 Kepler Kepler NNP work_ztbmh3tmarfpbmyhgxb56dczmy 111 65 's 's POS work_ztbmh3tmarfpbmyhgxb56dczmy 111 66 third third JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 67 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 68 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 69 planetary planetary NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 70 motion motion NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 71 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 111 72 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 111 73 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 111 74 states state VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 111 75 that that IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 76 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 77 major major JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 78 semiaxes semiaxe NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 79 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 80 elliptic elliptic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 81 orbits orbit NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 82 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 83 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 84 planets planet NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 85 are be VBP work_ztbmh3tmarfpbmyhgxb56dczmy 111 86 proportional proportional JJ work_ztbmh3tmarfpbmyhgxb56dczmy 111 87 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 88 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 89 periods period NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 90 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 91 revolution revolution NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 92 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 93 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 94 planets planet NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 95 around around IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 96 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 97 sun sun NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 98 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 99 a a DT work_ztbmh3tmarfpbmyhgxb56dczmy 111 100 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 101 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 111 102 two- two- NN work_ztbmh3tmarfpbmyhgxb56dczmy 111 103 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 111 104 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 112 1 Nobody nobody NN work_ztbmh3tmarfpbmyhgxb56dczmy 112 2 understood understand VBD work_ztbmh3tmarfpbmyhgxb56dczmy 112 3 why why WRB work_ztbmh3tmarfpbmyhgxb56dczmy 112 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 112 5 planets planet NNS work_ztbmh3tmarfpbmyhgxb56dczmy 112 6 follow follow VBP work_ztbmh3tmarfpbmyhgxb56dczmy 112 7 this this DT work_ztbmh3tmarfpbmyhgxb56dczmy 112 8 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 112 9 until until IN work_ztbmh3tmarfpbmyhgxb56dczmy 112 10 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 112 11 Universal Universal NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 12 Law Law NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 13 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 112 14 Gravitation Gravitation NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 15 was be VBD work_ztbmh3tmarfpbmyhgxb56dczmy 112 16 discovered discover VBN work_ztbmh3tmarfpbmyhgxb56dczmy 112 17 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 112 18 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 112 19 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 112 20 all all DT work_ztbmh3tmarfpbmyhgxb56dczmy 112 21 Kepler Kepler NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 22 's 's POS work_ztbmh3tmarfpbmyhgxb56dczmy 112 23 Laws Laws NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 112 24 follow follow VBP work_ztbmh3tmarfpbmyhgxb56dczmy 112 25 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 112 26 necessity necessity NN work_ztbmh3tmarfpbmyhgxb56dczmy 112 27 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 112 28 Motz Motz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 29 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 112 30 Duveen Duveen NNP work_ztbmh3tmarfpbmyhgxb56dczmy 112 31 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 112 32 1977 1977 CD work_ztbmh3tmarfpbmyhgxb56dczmy 112 33 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 112 34 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 113 1 hence hence RB work_ztbmh3tmarfpbmyhgxb56dczmy 113 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 113 3 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 4 A1.3 A1.3 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 5 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 6 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 113 7 3x 3x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 8 * * NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 9 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 10 � � NNS work_ztbmh3tmarfpbmyhgxb56dczmy 113 11 y"x y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 12 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 13 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 14 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 15 3yx$$$=0 3yx$$$=0 CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 16 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 113 17 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 18 A1.4 A1.4 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 19 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 20 By by IN work_ztbmh3tmarfpbmyhgxb56dczmy 113 21 multiplying multiply VBG work_ztbmh3tmarfpbmyhgxb56dczmy 113 22 both both DT work_ztbmh3tmarfpbmyhgxb56dczmy 113 23 sides side NNS work_ztbmh3tmarfpbmyhgxb56dczmy 113 24 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 113 25 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 26 A1.4 A1.4 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 27 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 28 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 113 29 x x NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 30 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 31 one one NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 32 gets get VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 113 33 3x 3x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 34 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 35 2x 2x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 36 � � NNS work_ztbmh3tmarfpbmyhgxb56dczmy 113 37 y"x y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 38 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 39 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 40 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 41 4yx$$$=0 4yx$$$=0 CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 42 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 113 43 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 44 A1.5 a1.5 NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 45 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 46 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 113 47 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 113 48 equivalent equivalent JJ work_ztbmh3tmarfpbmyhgxb56dczmy 113 49 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 113 50 d d NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 51 dt dt NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 52 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 53 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 54 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 55 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 56 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 57 = = NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 58 0 0 NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 59 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 60 A1.6 A1.6 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 61 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 62 or or CC work_ztbmh3tmarfpbmyhgxb56dczmy 113 63 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 64 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 113 65 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 66 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 113 67 const const IN work_ztbmh3tmarfpbmyhgxb56dczmy 113 68 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 113 69 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 70 A1.7 A1.7 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 113 71 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 113 72 which which WDT work_ztbmh3tmarfpbmyhgxb56dczmy 113 73 is be VBZ work_ztbmh3tmarfpbmyhgxb56dczmy 113 74 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 113 75 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 113 76 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 113 77 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 113 78 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 79 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 113 80 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 114 1 APPENDIX APPENDIX NNP work_ztbmh3tmarfpbmyhgxb56dczmy 114 2 B B NNP work_ztbmh3tmarfpbmyhgxb56dczmy 114 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 114 4 DRAWING draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 114 5 LISSAJOUS LISSAJOUS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 114 6 FIGURES figures NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 7 WITH with IN work_ztbmh3tmarfpbmyhgxb56dczmy 114 8 RESPECT RESPECT NNS work_ztbmh3tmarfpbmyhgxb56dczmy 114 9 TO to IN work_ztbmh3tmarfpbmyhgxb56dczmy 114 10 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 114 11 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 114 12 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 114 13 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 114 14 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 15 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 16 Here here RB work_ztbmh3tmarfpbmyhgxb56dczmy 114 17 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 114 18 derive derive VBP work_ztbmh3tmarfpbmyhgxb56dczmy 114 19 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 114 20 differential differential NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 21 equation equation NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 22 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 114 23 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 114 24 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 114 25 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 114 26 contour contour NN work_ztbmh3tmarfpbmyhgxb56dczmy 114 27 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 114 28 Fig Fig NNP work_ztbmh3tmarfpbmyhgxb56dczmy 114 29 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 115 1 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 115 2 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 115 3 accordance accordance NN work_ztbmh3tmarfpbmyhgxb56dczmy 115 4 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 115 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 115 6 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 115 7 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 115 8 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 115 9 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 115 10 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 115 11 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 115 12 solid solid JJ work_ztbmh3tmarfpbmyhgxb56dczmy 115 13 lines line NNS work_ztbmh3tmarfpbmyhgxb56dczmy 115 14 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 115 15 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 115 16 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 115 17 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 115 18 explain explain VBP work_ztbmh3tmarfpbmyhgxb56dczmy 115 19 how how WRB work_ztbmh3tmarfpbmyhgxb56dczmy 115 20 these these DT work_ztbmh3tmarfpbmyhgxb56dczmy 115 21 lines line NNS work_ztbmh3tmarfpbmyhgxb56dczmy 115 22 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 115 23 been be VBN work_ztbmh3tmarfpbmyhgxb56dczmy 115 24 obtained obtain VBN work_ztbmh3tmarfpbmyhgxb56dczmy 115 25 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 116 1 By by IN work_ztbmh3tmarfpbmyhgxb56dczmy 116 2 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 116 3 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 116 4 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 116 5 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 116 6 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 116 7 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 116 8 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 116 9 have have VBP work_ztbmh3tmarfpbmyhgxb56dczmy 116 10 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 116 11 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 116 12 3y"x 3y"x CD work_ztbmh3tmarfpbmyhgxb56dczmy 116 13 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 116 14 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 116 15 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 116 16 const const NN work_ztbmh3tmarfpbmyhgxb56dczmy 116 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 117 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 117 2 A2.1 a2.1 NN work_ztbmh3tmarfpbmyhgxb56dczmy 117 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 117 4 To to TO work_ztbmh3tmarfpbmyhgxb56dczmy 117 5 obtain obtain VB work_ztbmh3tmarfpbmyhgxb56dczmy 117 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 117 7 expression expression NN work_ztbmh3tmarfpbmyhgxb56dczmy 117 8 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 117 9 y"x y"x ADD work_ztbmh3tmarfpbmyhgxb56dczmy 117 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 117 11 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 117 12 first first RB work_ztbmh3tmarfpbmyhgxb56dczmy 117 13 eliminate eliminate VBP work_ztbmh3tmarfpbmyhgxb56dczmy 117 14 time time NN work_ztbmh3tmarfpbmyhgxb56dczmy 117 15 from from IN work_ztbmh3tmarfpbmyhgxb56dczmy 117 16 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 117 17 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 117 18 equations equation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 117 19 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 117 20 Lissajous lissajous JJ work_ztbmh3tmarfpbmyhgxb56dczmy 117 21 motion motion NN work_ztbmh3tmarfpbmyhgxb56dczmy 117 22 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 117 23 Eq eq RB work_ztbmh3tmarfpbmyhgxb56dczmy 117 24 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 118 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 118 2 18 18 CD work_ztbmh3tmarfpbmyhgxb56dczmy 118 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 118 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 118 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 118 6 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 118 7 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 118 8 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 9 sin(|1 sin(|1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 10 t+.1 t+.1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 118 12 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 13 = = CC work_ztbmh3tmarfpbmyhgxb56dczmy 118 14 A2 A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 15 sin(|2 sin(|2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 118 16 t+.2 t+.2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 118 17 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 118 18 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 119 1 We -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 119 2 get get VBP work_ztbmh3tmarfpbmyhgxb56dczmy 119 3 y y NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 4 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 119 5 A2 A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 6 sin sin VB work_ztbmh3tmarfpbmyhgxb56dczmy 119 7 \$ \$ NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 8 arcsin arcsin NN work_ztbmh3tmarfpbmyhgxb56dczmy 119 9 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 119 10 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 11 + + CD work_ztbmh3tmarfpbmyhgxb56dczmy 119 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 119 13 + + SYM work_ztbmh3tmarfpbmyhgxb56dczmy 119 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 119 15 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 119 16 A2.2 A2.2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 17 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 119 18 where where WRB work_ztbmh3tmarfpbmyhgxb56dczmy 119 19 $ $ $ work_ztbmh3tmarfpbmyhgxb56dczmy 119 20 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 119 21 n2 n2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 22 n1 n1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 119 23 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 119 24 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 119 25 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 119 26 .2&$.1 .2&$.1 . work_ztbmh3tmarfpbmyhgxb56dczmy 119 27 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 120 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 120 2 A2.3 A2.3 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 120 4 51DRAWING 51DRAWING : work_ztbmh3tmarfpbmyhgxb56dczmy 120 5 MOVEMENTS MOVEMENTS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 6 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 120 7 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 120 8 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 9 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 120 10 LEAST LEAST NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 11 ACTION ACTION NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 12 Then then RB work_ztbmh3tmarfpbmyhgxb56dczmy 120 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 120 14 after after IN work_ztbmh3tmarfpbmyhgxb56dczmy 120 15 differentiating differentiate VBG work_ztbmh3tmarfpbmyhgxb56dczmy 120 16 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 120 17 A2.2 A2.2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 18 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 120 19 twice twice RB work_ztbmh3tmarfpbmyhgxb56dczmy 120 20 with with IN work_ztbmh3tmarfpbmyhgxb56dczmy 120 21 respect respect NN work_ztbmh3tmarfpbmyhgxb56dczmy 120 22 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 120 23 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 120 24 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 120 25 get get VBP work_ztbmh3tmarfpbmyhgxb56dczmy 120 26 y"x y"x ADD work_ztbmh3tmarfpbmyhgxb56dczmy 120 27 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 120 28 A2 a2 NN work_ztbmh3tmarfpbmyhgxb56dczmy 120 29 $ $ $ work_ztbmh3tmarfpbmyhgxb56dczmy 120 30 x x NNS work_ztbmh3tmarfpbmyhgxb56dczmy 120 31 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 120 32 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 120 33 21&x 21&x CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 34 2)3 2)3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 35 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 36 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 37 cos cos IN work_ztbmh3tmarfpbmyhgxb56dczmy 120 38 \$ \$ NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 39 arcsin arcsin NN work_ztbmh3tmarfpbmyhgxb56dczmy 120 40 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 120 41 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 42 + + CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 43 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 120 44 + + CC work_ztbmh3tmarfpbmyhgxb56dczmy 120 45 & & CC work_ztbmh3tmarfpbmyhgxb56dczmy 120 46 A2 A2 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 47 $ $ $ work_ztbmh3tmarfpbmyhgxb56dczmy 120 48 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 49 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 120 50 21&x 21&x CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 51 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 52 sin sin NN work_ztbmh3tmarfpbmyhgxb56dczmy 120 53 \$ \$ CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 54 arcsin arcsin NN work_ztbmh3tmarfpbmyhgxb56dczmy 120 55 x x SYM work_ztbmh3tmarfpbmyhgxb56dczmy 120 56 A1 A1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 120 57 + + CD work_ztbmh3tmarfpbmyhgxb56dczmy 120 58 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 120 59 + + ADD work_ztbmh3tmarfpbmyhgxb56dczmy 120 60 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 121 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 121 2 A2.4 A2.4 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 121 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 121 4 Equation Equation NNP work_ztbmh3tmarfpbmyhgxb56dczmy 121 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 121 6 A2.1 A2.1 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 121 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 121 8 can can MD work_ztbmh3tmarfpbmyhgxb56dczmy 121 9 be be VB work_ztbmh3tmarfpbmyhgxb56dczmy 121 10 rewritten rewrite VBN work_ztbmh3tmarfpbmyhgxb56dczmy 121 11 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 121 12 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 121 13 form form NN work_ztbmh3tmarfpbmyhgxb56dczmy 121 14 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 121 15 x x LS work_ztbmh3tmarfpbmyhgxb56dczmy 121 16 * * NFP work_ztbmh3tmarfpbmyhgxb56dczmy 121 17 = = SYM work_ztbmh3tmarfpbmyhgxb56dczmy 121 18 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 121 19 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 121 20 P p NN work_ztbmh3tmarfpbmyhgxb56dczmy 121 21 y"x y"x '' work_ztbmh3tmarfpbmyhgxb56dczmy 121 22 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 122 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 122 2 A2.5 A2.5 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 122 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 122 4 To to TO work_ztbmh3tmarfpbmyhgxb56dczmy 122 5 produce produce VB work_ztbmh3tmarfpbmyhgxb56dczmy 122 6 Fig Fig NNP work_ztbmh3tmarfpbmyhgxb56dczmy 122 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 123 1 2 2 LS work_ztbmh3tmarfpbmyhgxb56dczmy 123 2 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 3 solid solid JJ work_ztbmh3tmarfpbmyhgxb56dczmy 123 4 lines line NNS work_ztbmh3tmarfpbmyhgxb56dczmy 123 5 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 6 we -PRON- PRP work_ztbmh3tmarfpbmyhgxb56dczmy 123 7 integrated integrate VBD work_ztbmh3tmarfpbmyhgxb56dczmy 123 8 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 9 A2.5 A2.5 NNP work_ztbmh3tmarfpbmyhgxb56dczmy 123 10 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 11 by by IN work_ztbmh3tmarfpbmyhgxb56dczmy 123 12 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 123 13 Runge Runge NNP work_ztbmh3tmarfpbmyhgxb56dczmy 123 14 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 123 15 Kutta Kutta NNP work_ztbmh3tmarfpbmyhgxb56dczmy 123 16 fourth- fourth- NN work_ztbmh3tmarfpbmyhgxb56dczmy 123 17 order order NN work_ztbmh3tmarfpbmyhgxb56dczmy 123 18 method method NN work_ztbmh3tmarfpbmyhgxb56dczmy 123 19 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 20 Jeffrey Jeffrey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 123 21 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 123 22 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 123 23 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 123 24 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 124 1 REFERENCES REFERENCES NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 2 Bronshtein Bronshtein NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 3 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 124 4 I. I. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 5 N. N. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 6 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 124 7 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 124 8 Semendyayev Semendyayev NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 124 10 K. K. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 124 11 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 125 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 125 2 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 125 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 125 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 126 1 Handbook Handbook NNP work_ztbmh3tmarfpbmyhgxb56dczmy 126 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 126 3 mathematics mathematic NNS work_ztbmh3tmarfpbmyhgxb56dczmy 126 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 127 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 127 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 127 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 127 4 Van Van NNP work_ztbmh3tmarfpbmyhgxb56dczmy 127 5 Nostrand Nostrand NNP work_ztbmh3tmarfpbmyhgxb56dczmy 127 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 128 1 Clark Clark NNP work_ztbmh3tmarfpbmyhgxb56dczmy 128 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 128 3 H. H. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 129 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 129 2 Ed Ed NNP work_ztbmh3tmarfpbmyhgxb56dczmy 129 3 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 129 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 130 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 130 2 1993 1993 CD work_ztbmh3tmarfpbmyhgxb56dczmy 130 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 130 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 131 1 Picasso Picasso NNP work_ztbmh3tmarfpbmyhgxb56dczmy 131 2 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 131 3 In in IN work_ztbmh3tmarfpbmyhgxb56dczmy 131 4 his -PRON- PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 131 5 words word NNS work_ztbmh3tmarfpbmyhgxb56dczmy 131 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 132 1 San San NNP work_ztbmh3tmarfpbmyhgxb56dczmy 132 2 Francisco Francisco NNP work_ztbmh3tmarfpbmyhgxb56dczmy 132 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 132 4 Collins Collins NNP work_ztbmh3tmarfpbmyhgxb56dczmy 132 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 133 1 Cohen Cohen NNP work_ztbmh3tmarfpbmyhgxb56dczmy 133 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 133 3 B. B. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 133 4 I. I. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 134 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 134 2 Ed Ed NNP work_ztbmh3tmarfpbmyhgxb56dczmy 134 3 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 134 4 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 134 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 135 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 135 2 1981 1981 CD work_ztbmh3tmarfpbmyhgxb56dczmy 135 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 135 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 136 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 136 2 conservation conservation NN work_ztbmh3tmarfpbmyhgxb56dczmy 136 3 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 136 4 energy energy NN work_ztbmh3tmarfpbmyhgxb56dczmy 136 5 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 136 6 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 136 7 principle principle NN work_ztbmh3tmarfpbmyhgxb56dczmy 136 8 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 136 9 least least JJS work_ztbmh3tmarfpbmyhgxb56dczmy 136 10 action action NN work_ztbmh3tmarfpbmyhgxb56dczmy 136 11 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 137 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 137 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 137 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 137 4 Arno Arno NNP work_ztbmh3tmarfpbmyhgxb56dczmy 137 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 138 1 Jeffrey Jeffrey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 138 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 138 3 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 139 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 139 2 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 139 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 139 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 140 1 Handbook Handbook NNP work_ztbmh3tmarfpbmyhgxb56dczmy 140 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 140 3 mathematical mathematical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 140 4 formulas formula NNS work_ztbmh3tmarfpbmyhgxb56dczmy 140 5 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 140 6 integrals integral NNS work_ztbmh3tmarfpbmyhgxb56dczmy 140 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 141 1 San San NNP work_ztbmh3tmarfpbmyhgxb56dczmy 141 2 Diego Diego NNP work_ztbmh3tmarfpbmyhgxb56dczmy 141 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 141 4 Academic academic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 141 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 142 1 Kompaneyets kompaneyet NNS work_ztbmh3tmarfpbmyhgxb56dczmy 142 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 142 3 A. A. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 142 4 S. S. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 142 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 142 6 1961 1961 CD work_ztbmh3tmarfpbmyhgxb56dczmy 142 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 142 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 143 1 Theoretical theoretical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 143 2 physics physics NN work_ztbmh3tmarfpbmyhgxb56dczmy 143 3 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 144 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 144 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 144 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 144 4 Dover Dover NNP work_ztbmh3tmarfpbmyhgxb56dczmy 144 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 145 1 Korn Korn NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 145 3 G. G. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 4 A. A. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 145 6 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 145 7 Korn Korn NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 145 9 T. T. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 10 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 145 11 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 145 12 1968 1968 CD work_ztbmh3tmarfpbmyhgxb56dczmy 145 13 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 145 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 146 1 Mathematical mathematical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 146 2 handbook handbook NNP work_ztbmh3tmarfpbmyhgxb56dczmy 146 3 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 146 4 scientists scientist NNS work_ztbmh3tmarfpbmyhgxb56dczmy 146 5 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 146 6 engineers engineer NNS work_ztbmh3tmarfpbmyhgxb56dczmy 146 7 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 146 8 2nd 2nd NNP work_ztbmh3tmarfpbmyhgxb56dczmy 146 9 ed ed NNP work_ztbmh3tmarfpbmyhgxb56dczmy 146 10 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 146 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 146 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 147 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 147 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 147 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 147 4 McGraw McGraw NNP work_ztbmh3tmarfpbmyhgxb56dczmy 147 5 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 147 6 Hill Hill NNP work_ztbmh3tmarfpbmyhgxb56dczmy 147 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 148 1 Lacquaniti Lacquaniti NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 148 3 F. F. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 148 5 Terzuolo Terzuolo NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 6 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 148 7 C. C. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 148 9 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 148 10 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 11 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 148 12 P. P. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 148 13 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 148 14 1983 1983 CD work_ztbmh3tmarfpbmyhgxb56dczmy 148 15 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 148 16 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 149 1 The the DT work_ztbmh3tmarfpbmyhgxb56dczmy 149 2 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 149 3 relating relate VBG work_ztbmh3tmarfpbmyhgxb56dczmy 149 4 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 149 5 kinematic kinematic JJ work_ztbmh3tmarfpbmyhgxb56dczmy 149 6 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 149 7 figural figural JJ work_ztbmh3tmarfpbmyhgxb56dczmy 149 8 aspects aspect NNS work_ztbmh3tmarfpbmyhgxb56dczmy 149 9 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 149 10 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 149 11 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 149 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 150 1 Acta Acta NNP work_ztbmh3tmarfpbmyhgxb56dczmy 150 2 Psychologica Psychologica NNP work_ztbmh3tmarfpbmyhgxb56dczmy 150 3 54(1 54(1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 150 4 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 150 5 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 150 6 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 150 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 150 8 115 115 CD work_ztbmh3tmarfpbmyhgxb56dczmy 150 9 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 150 10 130 130 CD work_ztbmh3tmarfpbmyhgxb56dczmy 150 11 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 151 1 Landau Landau NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 151 3 L. L. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 4 D. D. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 151 6 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 151 7 Lifshitz Lifshitz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 151 9 E. E. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 10 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 151 11 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 151 12 1969 1969 CD work_ztbmh3tmarfpbmyhgxb56dczmy 151 13 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 151 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 152 1 Mechanics mechanic NNS work_ztbmh3tmarfpbmyhgxb56dczmy 152 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 153 1 Oxford Oxford NNP work_ztbmh3tmarfpbmyhgxb56dczmy 153 2 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 153 3 Pergamon Pergamon NNP work_ztbmh3tmarfpbmyhgxb56dczmy 153 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 154 1 Massey Massey NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 3 J. J. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 4 T. T. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 6 Lurito Lurito NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 8 J. J. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 9 T. T. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 11 Pellizzer Pellizzer NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 13 G. G. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 154 14 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 15 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 154 16 Georgopoulos Georgopoulos NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 154 17 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 154 18 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 154 19 P. p. NN work_ztbmh3tmarfpbmyhgxb56dczmy 154 20 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 154 21 1992 1992 CD work_ztbmh3tmarfpbmyhgxb56dczmy 154 22 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 154 23 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 155 1 Three three CD work_ztbmh3tmarfpbmyhgxb56dczmy 155 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 155 3 dimensional dimensional JJ work_ztbmh3tmarfpbmyhgxb56dczmy 155 4 drawings drawing NNS work_ztbmh3tmarfpbmyhgxb56dczmy 155 5 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 155 6 isometric isometric JJ work_ztbmh3tmarfpbmyhgxb56dczmy 155 7 conditions condition NNS work_ztbmh3tmarfpbmyhgxb56dczmy 155 8 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 155 9 Relation relation NN work_ztbmh3tmarfpbmyhgxb56dczmy 155 10 between between IN work_ztbmh3tmarfpbmyhgxb56dczmy 155 11 geometry geometry NN work_ztbmh3tmarfpbmyhgxb56dczmy 155 12 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 155 13 kinematics kinematic NNS work_ztbmh3tmarfpbmyhgxb56dczmy 155 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 156 1 Experimental Experimental NNP work_ztbmh3tmarfpbmyhgxb56dczmy 156 2 Brain Brain NNP work_ztbmh3tmarfpbmyhgxb56dczmy 156 3 Research Research NNP work_ztbmh3tmarfpbmyhgxb56dczmy 156 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 156 5 88(3 88(3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 156 6 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 156 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 156 8 685 685 CD work_ztbmh3tmarfpbmyhgxb56dczmy 156 9 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 156 10 690 690 CD work_ztbmh3tmarfpbmyhgxb56dczmy 156 11 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 157 1 Motz Motz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 157 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 157 3 L. L. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 157 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 157 5 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 157 6 Duveen Duveen NNP work_ztbmh3tmarfpbmyhgxb56dczmy 157 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 157 8 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 158 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 158 2 1977 1977 CD work_ztbmh3tmarfpbmyhgxb56dczmy 158 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 158 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 159 1 Essentials essential NNS work_ztbmh3tmarfpbmyhgxb56dczmy 159 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 159 3 astronomy astronomy NN work_ztbmh3tmarfpbmyhgxb56dczmy 159 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 160 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 160 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 160 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 160 4 Columbia Columbia NNP work_ztbmh3tmarfpbmyhgxb56dczmy 160 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 161 1 Murdock Murdock NNP work_ztbmh3tmarfpbmyhgxb56dczmy 161 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 161 3 J. J. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 162 1 A. A. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 163 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 163 2 1991 1991 CD work_ztbmh3tmarfpbmyhgxb56dczmy 163 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 163 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 164 1 Perturbations perturbation NNS work_ztbmh3tmarfpbmyhgxb56dczmy 164 2 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 164 3 Theory theory NN work_ztbmh3tmarfpbmyhgxb56dczmy 164 4 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 164 5 methods method NNS work_ztbmh3tmarfpbmyhgxb56dczmy 164 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 165 1 New New NNP work_ztbmh3tmarfpbmyhgxb56dczmy 165 2 York York NNP work_ztbmh3tmarfpbmyhgxb56dczmy 165 3 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 165 4 Wiley Wiley NNP work_ztbmh3tmarfpbmyhgxb56dczmy 165 5 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 166 1 Schwartz Schwartz NNP work_ztbmh3tmarfpbmyhgxb56dczmy 166 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 166 3 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 167 1 B. B. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 168 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 168 2 1994 1994 CD work_ztbmh3tmarfpbmyhgxb56dczmy 168 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 168 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 169 1 Direct direct JJ work_ztbmh3tmarfpbmyhgxb56dczmy 169 2 cortical cortical JJ work_ztbmh3tmarfpbmyhgxb56dczmy 169 3 representation representation NN work_ztbmh3tmarfpbmyhgxb56dczmy 169 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 169 5 drawing drawing NN work_ztbmh3tmarfpbmyhgxb56dczmy 169 6 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 170 1 Science science NN work_ztbmh3tmarfpbmyhgxb56dczmy 170 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 170 3 265 265 CD work_ztbmh3tmarfpbmyhgxb56dczmy 170 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 170 5 540 540 CD work_ztbmh3tmarfpbmyhgxb56dczmy 170 6 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 170 7 542 542 CD work_ztbmh3tmarfpbmyhgxb56dczmy 170 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 171 1 Symon Symon NNP work_ztbmh3tmarfpbmyhgxb56dczmy 171 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 171 3 K. K. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 171 4 R. R. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 171 5 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 171 6 1953 1953 CD work_ztbmh3tmarfpbmyhgxb56dczmy 171 7 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 171 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 172 1 Mechanics mechanic NNS work_ztbmh3tmarfpbmyhgxb56dczmy 172 2 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 173 1 Reading reading NN work_ztbmh3tmarfpbmyhgxb56dczmy 173 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 173 3 MA MA NNP work_ztbmh3tmarfpbmyhgxb56dczmy 173 4 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 173 5 Addison Addison NNP work_ztbmh3tmarfpbmyhgxb56dczmy 173 6 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 173 7 Wesley Wesley NNP work_ztbmh3tmarfpbmyhgxb56dczmy 173 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 174 1 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 174 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 174 3 P. P. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 174 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 174 5 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 174 6 Cenzato Cenzato NNP work_ztbmh3tmarfpbmyhgxb56dczmy 174 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 174 8 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 174 9 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 174 10 1985 1985 CD work_ztbmh3tmarfpbmyhgxb56dczmy 174 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 174 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 175 1 Segmentation segmentation NN work_ztbmh3tmarfpbmyhgxb56dczmy 175 2 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 175 3 coupling coupling NN work_ztbmh3tmarfpbmyhgxb56dczmy 175 4 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 175 5 complex complex JJ work_ztbmh3tmarfpbmyhgxb56dczmy 175 6 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 175 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 176 1 Journal Journal NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 176 3 Experimental Experimental NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 4 Psychology Psychology NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 5 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 176 6 Human Human NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 7 Perception Perception NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 8 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 176 9 Performance Performance NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 176 11 11(6 11(6 JJ work_ztbmh3tmarfpbmyhgxb56dczmy 176 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 176 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 176 14 828 828 CD work_ztbmh3tmarfpbmyhgxb56dczmy 176 15 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 176 16 845 845 CD work_ztbmh3tmarfpbmyhgxb56dczmy 176 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 177 1 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 177 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 177 3 P. P. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 177 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 177 5 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 177 6 Flash Flash NNP work_ztbmh3tmarfpbmyhgxb56dczmy 177 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 177 8 T. t. NN work_ztbmh3tmarfpbmyhgxb56dczmy 177 9 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 177 10 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 177 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 177 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 178 1 Minimum Minimum NNP work_ztbmh3tmarfpbmyhgxb56dczmy 178 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 178 3 jerk jerk NNP work_ztbmh3tmarfpbmyhgxb56dczmy 178 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 178 5 two two CD work_ztbmh3tmarfpbmyhgxb56dczmy 178 6 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 178 7 thirds third NNS work_ztbmh3tmarfpbmyhgxb56dczmy 178 8 power power NN work_ztbmh3tmarfpbmyhgxb56dczmy 178 9 law law NN work_ztbmh3tmarfpbmyhgxb56dczmy 178 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 178 11 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 178 12 isochrony isochrony NN work_ztbmh3tmarfpbmyhgxb56dczmy 178 13 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 178 14 Converging converge VBG work_ztbmh3tmarfpbmyhgxb56dczmy 178 15 approaches approach NNS work_ztbmh3tmarfpbmyhgxb56dczmy 178 16 to to IN work_ztbmh3tmarfpbmyhgxb56dczmy 178 17 movement movement NN work_ztbmh3tmarfpbmyhgxb56dczmy 178 18 planning planning NN work_ztbmh3tmarfpbmyhgxb56dczmy 178 19 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 179 1 Journal Journal NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 179 3 Experimental Experimental NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 4 Psychology Psychology NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 5 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 179 6 Human Human NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 7 Perception Perception NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 8 H H NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 9 Performance Performance NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 179 11 21(1 21(1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 179 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 179 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 179 14 32 32 CD work_ztbmh3tmarfpbmyhgxb56dczmy 179 15 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 179 16 53 53 CD work_ztbmh3tmarfpbmyhgxb56dczmy 179 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 180 1 Viviani Viviani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 180 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 180 3 P. P. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 180 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 180 5 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 180 6 Schneider Schneider NNP work_ztbmh3tmarfpbmyhgxb56dczmy 180 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 180 8 R. R. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 180 9 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 180 10 1991 1991 CD work_ztbmh3tmarfpbmyhgxb56dczmy 180 11 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 180 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 181 1 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 181 2 developmental developmental JJ work_ztbmh3tmarfpbmyhgxb56dczmy 181 3 study study NN work_ztbmh3tmarfpbmyhgxb56dczmy 181 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 181 5 the the DT work_ztbmh3tmarfpbmyhgxb56dczmy 181 6 relationship relationship NN work_ztbmh3tmarfpbmyhgxb56dczmy 181 7 between between IN work_ztbmh3tmarfpbmyhgxb56dczmy 181 8 geometry geometry NN work_ztbmh3tmarfpbmyhgxb56dczmy 181 9 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 181 10 kinematics kinematics NNPS work_ztbmh3tmarfpbmyhgxb56dczmy 181 11 in in IN work_ztbmh3tmarfpbmyhgxb56dczmy 181 12 drawing draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 181 13 movements movement NNS work_ztbmh3tmarfpbmyhgxb56dczmy 181 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 182 1 Journal Journal NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 2 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 182 3 Experimental Experimental NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 4 Psychology Psychology NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 5 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 182 6 Human Human NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 7 Perception Perception NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 8 and and CC work_ztbmh3tmarfpbmyhgxb56dczmy 182 9 Performance Performance NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 10 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 182 11 17(1 17(1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 182 12 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 182 13 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 182 14 198 198 CD work_ztbmh3tmarfpbmyhgxb56dczmy 182 15 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 182 16 218 218 CD work_ztbmh3tmarfpbmyhgxb56dczmy 182 17 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 183 1 Wolpert Wolpert NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 183 3 D. D. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 4 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 183 6 Ghahramani Ghahramani NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 183 8 Z. Z. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 183 10 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 183 11 Jordan Jordan NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 12 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 183 13 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 183 14 I. I. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 184 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 184 2 1995 1995 CD work_ztbmh3tmarfpbmyhgxb56dczmy 184 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 184 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 185 1 An an DT work_ztbmh3tmarfpbmyhgxb56dczmy 185 2 internal internal JJ work_ztbmh3tmarfpbmyhgxb56dczmy 185 3 model model NN work_ztbmh3tmarfpbmyhgxb56dczmy 185 4 for for IN work_ztbmh3tmarfpbmyhgxb56dczmy 185 5 sensorimotor sensorimotor NN work_ztbmh3tmarfpbmyhgxb56dczmy 185 6 integration integration NN work_ztbmh3tmarfpbmyhgxb56dczmy 185 7 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 186 1 Science science NN work_ztbmh3tmarfpbmyhgxb56dczmy 186 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 186 3 269 269 CD work_ztbmh3tmarfpbmyhgxb56dczmy 186 4 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 186 5 1880 1880 CD work_ztbmh3tmarfpbmyhgxb56dczmy 186 6 � � NNP work_ztbmh3tmarfpbmyhgxb56dczmy 186 7 1882 1882 CD work_ztbmh3tmarfpbmyhgxb56dczmy 186 8 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 187 1 Yavorsky Yavorsky NNP work_ztbmh3tmarfpbmyhgxb56dczmy 187 2 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 187 3 B. B. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 187 4 M. M. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 187 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 187 6 6 6 CD work_ztbmh3tmarfpbmyhgxb56dczmy 187 7 Detlaf Detlaf NNP work_ztbmh3tmarfpbmyhgxb56dczmy 187 8 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 187 9 A. a. NN work_ztbmh3tmarfpbmyhgxb56dczmy 188 1 A. A. NNP work_ztbmh3tmarfpbmyhgxb56dczmy 189 1 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 189 2 1982 1982 CD work_ztbmh3tmarfpbmyhgxb56dczmy 189 3 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 189 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 190 1 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 190 2 modern modern JJ work_ztbmh3tmarfpbmyhgxb56dczmy 190 3 handbook handbook NN work_ztbmh3tmarfpbmyhgxb56dczmy 190 4 of of IN work_ztbmh3tmarfpbmyhgxb56dczmy 190 5 physics physics NN work_ztbmh3tmarfpbmyhgxb56dczmy 190 6 ( ( -LRB- work_ztbmh3tmarfpbmyhgxb56dczmy 190 7 English English NNP work_ztbmh3tmarfpbmyhgxb56dczmy 190 8 translation translation NN work_ztbmh3tmarfpbmyhgxb56dczmy 190 9 ) ) -RRB- work_ztbmh3tmarfpbmyhgxb56dczmy 190 10 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 191 1 Moscow Moscow NNP work_ztbmh3tmarfpbmyhgxb56dczmy 191 2 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 191 3 Mir Mir NNP work_ztbmh3tmarfpbmyhgxb56dczmy 191 4 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 192 1 Received receive VBN work_ztbmh3tmarfpbmyhgxb56dczmy 192 2 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 192 3 May May NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 4 12 12 CD work_ztbmh3tmarfpbmyhgxb56dczmy 192 5 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 192 6 1998 1998 CD work_ztbmh3tmarfpbmyhgxb56dczmy 192 7 52 52 CD work_ztbmh3tmarfpbmyhgxb56dczmy 192 8 LEBEDEV LEBEDEV NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 192 10 TSUI TSUI NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 11 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 192 12 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 192 13 VAN VAN NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 14 GELDER GELDER NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 15 FIG FIG NNP work_ztbmh3tmarfpbmyhgxb56dczmy 192 16 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 193 1 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 193 2 1 1 CD work_ztbmh3tmarfpbmyhgxb56dczmy 193 3 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 194 1 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 194 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 194 3 THIRDS thirds NN work_ztbmh3tmarfpbmyhgxb56dczmy 194 4 POWER POWER NNS work_ztbmh3tmarfpbmyhgxb56dczmy 194 5 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 194 6 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 194 7 STRATEGY STRATEGY NNP work_ztbmh3tmarfpbmyhgxb56dczmy 194 8 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 194 9 LEAST least NN work_ztbmh3tmarfpbmyhgxb56dczmy 194 10 ACTION action NN work_ztbmh3tmarfpbmyhgxb56dczmy 194 11 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 194 12 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 195 1 DIFFERENTIAL DIFFERENTIAL NNP work_ztbmh3tmarfpbmyhgxb56dczmy 195 2 FORM FORM NNP work_ztbmh3tmarfpbmyhgxb56dczmy 195 3 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 195 4 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 195 5 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 195 6 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 195 7 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 195 8 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 195 9 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 195 10 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 195 11 ITS its PRP$ work_ztbmh3tmarfpbmyhgxb56dczmy 195 12 PROPERTIES PROPERTIES NNP work_ztbmh3tmarfpbmyhgxb56dczmy 195 13 3 3 CD work_ztbmh3tmarfpbmyhgxb56dczmy 195 14 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 196 1 CONSTANT CONSTANT NNP work_ztbmh3tmarfpbmyhgxb56dczmy 196 2 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 196 3 COEFFICIENT COEFFICIENT VBN work_ztbmh3tmarfpbmyhgxb56dczmy 196 4 CASE case NN work_ztbmh3tmarfpbmyhgxb56dczmy 196 5 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 196 6 ELLIPSES ELLIPSES NNP work_ztbmh3tmarfpbmyhgxb56dczmy 196 7 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 196 8 HYPERBOLAS HYPERBOLAS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 196 9 , , , work_ztbmh3tmarfpbmyhgxb56dczmy 196 10 AND and CC work_ztbmh3tmarfpbmyhgxb56dczmy 196 11 PARABOLAS PARABOLAS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 196 12 4 4 CD work_ztbmh3tmarfpbmyhgxb56dczmy 196 13 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 197 1 LISSAJOUS LISSAJOUS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 197 2 MOTIONS motion NNS work_ztbmh3tmarfpbmyhgxb56dczmy 197 3 DO do VBP work_ztbmh3tmarfpbmyhgxb56dczmy 197 4 NOT not RB work_ztbmh3tmarfpbmyhgxb56dczmy 197 5 OBEY obey VB work_ztbmh3tmarfpbmyhgxb56dczmy 197 6 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 197 7 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 197 8 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 197 9 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 197 10 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 197 11 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 197 12 FIG FIG NNP work_ztbmh3tmarfpbmyhgxb56dczmy 197 13 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 198 1 2 2 CD work_ztbmh3tmarfpbmyhgxb56dczmy 198 2 5 5 CD work_ztbmh3tmarfpbmyhgxb56dczmy 198 3 . . . work_ztbmh3tmarfpbmyhgxb56dczmy 199 1 DISCUSSION DISCUSSION NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 2 APPENDIX APPENDIX NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 3 A a DT work_ztbmh3tmarfpbmyhgxb56dczmy 199 4 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 199 5 DERIVATION derivation NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 6 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 199 7 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 199 8 TWO TWO NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 9 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 199 10 THIRDS thirds NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 11 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 12 FROM from IN work_ztbmh3tmarfpbmyhgxb56dczmy 199 13 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 199 14 PRINCIPLE PRINCIPLE NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 15 OF of IN work_ztbmh3tmarfpbmyhgxb56dczmy 199 16 LEAST LEAST NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 17 ACTION ACTION NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 18 APPENDIX APPENDIX NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 19 B b NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 20 : : : work_ztbmh3tmarfpbmyhgxb56dczmy 199 21 DRAWING draw VBG work_ztbmh3tmarfpbmyhgxb56dczmy 199 22 LISSAJOUS LISSAJOUS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 23 FIGURES figures NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 24 WITH with IN work_ztbmh3tmarfpbmyhgxb56dczmy 199 25 RESPECT RESPECT NNS work_ztbmh3tmarfpbmyhgxb56dczmy 199 26 TO to IN work_ztbmh3tmarfpbmyhgxb56dczmy 199 27 THE the DT work_ztbmh3tmarfpbmyhgxb56dczmy 199 28 TWO two CD work_ztbmh3tmarfpbmyhgxb56dczmy 199 29 - - HYPH work_ztbmh3tmarfpbmyhgxb56dczmy 199 30 THIRDS THIRDS NNP work_ztbmh3tmarfpbmyhgxb56dczmy 199 31 POWER power NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 32 LAW law NN work_ztbmh3tmarfpbmyhgxb56dczmy 199 33 REFERENCES reference NNS