id sid tid token lemma pos 8336h130n7f 1 1 the the DET 8336h130n7f 1 2 interval interval NOUN 8336h130n7f 1 3 newton newton PROPN 8336h130n7f 1 4 method method NOUN 8336h130n7f 1 5 can can AUX 8336h130n7f 1 6 provide provide VERB 8336h130n7f 1 7 mathematical mathematical ADJ 8336h130n7f 1 8 and and CCONJ 8336h130n7f 1 9 computational computational ADJ 8336h130n7f 1 10 guarantee guarantee NOUN 8336h130n7f 1 11 that that SCONJ 8336h130n7f 1 12 all all DET 8336h130n7f 1 13 roots root NOUN 8336h130n7f 1 14 will will AUX 8336h130n7f 1 15 be be AUX 8336h130n7f 1 16 found find VERB 8336h130n7f 1 17 in in ADP 8336h130n7f 1 18 nonlinear nonlinear ADJ 8336h130n7f 1 19 equation equation NOUN 8336h130n7f 1 20 solving solve VERB 8336h130n7f 1 21 problems problem NOUN 8336h130n7f 1 22 , , PUNCT 8336h130n7f 1 23 and and CCONJ 8336h130n7f 1 24 that that SCONJ 8336h130n7f 1 25 the the DET 8336h130n7f 1 26 global global ADJ 8336h130n7f 1 27 optimum optimum NOUN 8336h130n7f 1 28 will will AUX 8336h130n7f 1 29 be be AUX 8336h130n7f 1 30 found find VERB 8336h130n7f 1 31 in in ADP 8336h130n7f 1 32 nonlinear nonlinear ADJ 8336h130n7f 1 33 , , PUNCT 8336h130n7f 1 34 nonconvex nonconvex NOUN 8336h130n7f 1 35 optimization optimization NOUN 8336h130n7f 1 36 problems problem NOUN 8336h130n7f 1 37 . . PUNCT 8336h130n7f 2 1 thus thus ADV 8336h130n7f 2 2 this this PRON 8336h130n7f 2 3 provides provide VERB 8336h130n7f 2 4 a a DET 8336h130n7f 2 5 methodology methodology NOUN 8336h130n7f 2 6 for for ADP 8336h130n7f 2 7 deterministic deterministic ADJ 8336h130n7f 2 8 global global ADJ 8336h130n7f 2 9 optimization optimization NOUN 8336h130n7f 2 10 , , PUNCT 8336h130n7f 2 11 including include VERB 8336h130n7f 2 12 the the DET 8336h130n7f 2 13 problem problem NOUN 8336h130n7f 2 14 of of ADP 8336h130n7f 2 15 finding find VERB 8336h130n7f 2 16 all all DET 8336h130n7f 2 17 stationary stationary ADJ 8336h130n7f 2 18 points point NOUN 8336h130n7f 2 19 in in ADP 8336h130n7f 2 20 unconstrained unconstrained ADJ 8336h130n7f 2 21 optimization optimization NOUN 8336h130n7f 2 22 , , PUNCT 8336h130n7f 2 23 or or CCONJ 8336h130n7f 2 24 all all DET 8336h130n7f 2 25 fritz fritz NOUN 8336h130n7f 2 26 - - PUNCT 8336h130n7f 2 27 john john PROPN 8336h130n7f 2 28 points point NOUN 8336h130n7f 2 29 in in ADP 8336h130n7f 2 30 constrained constrain VERB 8336h130n7f 2 31 optimization optimization NOUN 8336h130n7f 2 32 . . PUNCT 8336h130n7f 3 1 we we PRON 8336h130n7f 3 2 present present VERB 8336h130n7f 3 3 here here ADV 8336h130n7f 3 4 a a DET 8336h130n7f 3 5 new new ADJ 8336h130n7f 3 6 strategy strategy NOUN 8336h130n7f 3 7 based base VERB 8336h130n7f 3 8 on on ADP 8336h130n7f 3 9 the the DET 8336h130n7f 3 10 use use NOUN 8336h130n7f 3 11 of of ADP 8336h130n7f 3 12 linear linear PROPN 8336h130n7f 3 13 programming programming NOUN 8336h130n7f 3 14 ( ( PUNCT 8336h130n7f 3 15 lp lp NOUN 8336h130n7f 3 16 ) ) PUNCT 8336h130n7f 3 17 techniques technique NOUN 8336h130n7f 3 18 to to ADP 8336h130n7f 3 19 exactly exactly ADV 8336h130n7f 3 20 ( ( PUNCT 8336h130n7f 3 21 within within ADP 8336h130n7f 3 22 round round ADJ 8336h130n7f 3 23 out out ADV 8336h130n7f 3 24 ) ) PUNCT 8336h130n7f 3 25 bound bind VERB 8336h130n7f 3 26 the the DET 8336h130n7f 3 27 solution solution NOUN 8336h130n7f 3 28 set set VERB 8336h130n7f 3 29 of of ADP 8336h130n7f 3 30 the the DET 8336h130n7f 3 31 linear linear PROPN 8336h130n7f 3 32 interval interval NOUN 8336h130n7f 3 33 equation equation NOUN 8336h130n7f 3 34 system system NOUN 8336h130n7f 3 35 that that PRON 8336h130n7f 3 36 must must AUX 8336h130n7f 3 37 be be AUX 8336h130n7f 3 38 solved solve VERB 8336h130n7f 3 39 in in ADP 8336h130n7f 3 40 the the DET 8336h130n7f 3 41 context context NOUN 8336h130n7f 3 42 of of ADP 8336h130n7f 3 43 the the DET 8336h130n7f 3 44 interval interval NOUN 8336h130n7f 3 45 - - PUNCT 8336h130n7f 3 46 newton newton NOUN 8336h130n7f 3 47 method method NOUN 8336h130n7f 3 48 . . PUNCT 8336h130n7f 4 1 the the PRON 8336h130n7f 4 2 tighter tighter ADV 8336h130n7f 4 3 bound bind VERB 8336h130n7f 4 4 on on ADP 8336h130n7f 4 5 solution solution NOUN 8336h130n7f 4 6 set set VERB 8336h130n7f 4 7 thus thus ADV 8336h130n7f 4 8 enhances enhance NOUN 8336h130n7f 4 9 may may AUX 8336h130n7f 4 10 greatly greatly ADV 8336h130n7f 4 11 enhance enhance VERB 8336h130n7f 4 12 the the DET 8336h130n7f 4 13 efficiency efficiency NOUN 8336h130n7f 4 14 of of ADP 8336h130n7f 4 15 the the DET 8336h130n7f 4 16 interval interval NOUN 8336h130n7f 4 17 - - PUNCT 8336h130n7f 4 18 newton newton NOUN 8336h130n7f 4 19 method method NOUN 8336h130n7f 4 20 . . PUNCT 8336h130n7f 5 1 an an DET 8336h130n7f 5 2 implementation implementation NOUN 8336h130n7f 5 3 of of ADP 8336h130n7f 5 4 this this DET 8336h130n7f 5 5 technique technique NOUN 8336h130n7f 5 6 is be AUX 8336h130n7f 5 7 described describe VERB 8336h130n7f 5 8 and and CCONJ 8336h130n7f 5 9 several several ADJ 8336h130n7f 5 10 important important ADJ 8336h130n7f 5 11 issues issue NOUN 8336h130n7f 5 12 are be AUX 8336h130n7f 5 13 considered consider VERB 8336h130n7f 5 14 . . PUNCT 8336h130n7f 6 1 these these PRON 8336h130n7f 6 2 include include VERB 8336h130n7f 6 3 combination combination NOUN 8336h130n7f 6 4 with with ADP 8336h130n7f 6 5 a a DET 8336h130n7f 6 6 simple simple ADJ 8336h130n7f 6 7 , , PUNCT 8336h130n7f 6 8 low low ADJ 8336h130n7f 6 9 - - PUNCT 8336h130n7f 6 10 overhead overhead NOUN 8336h130n7f 6 11 pivoting pivot VERB 8336h130n7f 6 12 preconditioning precondition VERB 8336h130n7f 6 13 technique technique NOUN 8336h130n7f 6 14 , , PUNCT 8336h130n7f 6 15 selection selection NOUN 8336h130n7f 6 16 of of ADP 8336h130n7f 6 17 the the DET 8336h130n7f 6 18 interval interval NOUN 8336h130n7f 6 19 conner conner NOUN 8336h130n7f 6 20 required require VERB 8336h130n7f 6 21 by by ADP 8336h130n7f 6 22 the the DET 8336h130n7f 6 23 lp lp PROPN 8336h130n7f 6 24 strategy strategy NOUN 8336h130n7f 6 25 , , PUNCT 8336h130n7f 6 26 and and CCONJ 8336h130n7f 6 27 determination determination NOUN 8336h130n7f 6 28 of of ADP 8336h130n7f 6 29 rigorous rigorous ADJ 8336h130n7f 6 30 bounds bound NOUN 8336h130n7f 6 31 on on ADP 8336h130n7f 6 32 the the DET 8336h130n7f 6 33 solution solution NOUN 8336h130n7f 6 34 of of ADP 8336h130n7f 6 35 the the DET 8336h130n7f 6 36 lp lp NOUN 8336h130n7f 6 37 problems problem NOUN 8336h130n7f 6 38 . . PUNCT 8336h130n7f 7 1 the the DET 8336h130n7f 7 2 procedure procedure NOUN 8336h130n7f 7 3 based base VERB 8336h130n7f 7 4 on on ADP 8336h130n7f 7 5 these these DET 8336h130n7f 7 6 techniques technique NOUN 8336h130n7f 7 7 , , PUNCT 8336h130n7f 7 8 liss_lp liss_lp PROPN 8336h130n7f 7 9 , , PUNCT 8336h130n7f 7 10 will will AUX 8336h130n7f 7 11 then then ADV 8336h130n7f 7 12 be be AUX 8336h130n7f 7 13 demonstrated demonstrate VERB 8336h130n7f 7 14 using use VERB 8336h130n7f 7 15 several several ADJ 8336h130n7f 7 16 global global ADJ 8336h130n7f 7 17 optimization optimization NOUN 8336h130n7f 7 18 problems problem NOUN 8336h130n7f 7 19 , , PUNCT 8336h130n7f 7 20 with with ADP 8336h130n7f 7 21 focus focus NOUN 8336h130n7f 7 22 on on ADP 8336h130n7f 7 23 problems problem NOUN 8336h130n7f 7 24 arising arise VERB 8336h130n7f 7 25 in in ADP 8336h130n7f 7 26 chemical chemical ADJ 8336h130n7f 7 27 engineering engineering NOUN 8336h130n7f 7 28 . . PUNCT 8336h130n7f 8 1 the the DET 8336h130n7f 8 2 comparative comparative ADJ 8336h130n7f 8 3 computational computational ADJ 8336h130n7f 8 4 performance performance NOUN 8336h130n7f 8 5 results result NOUN 8336h130n7f 8 6 between between ADP 8336h130n7f 8 7 liss_lp liss_lp PROPN 8336h130n7f 8 8 and and CCONJ 8336h130n7f 8 9 the the DET 8336h130n7f 8 10 hp hp PROPN 8336h130n7f 8 11 / / SYM 8336h130n7f 8 12 rp rp NOUN 8336h130n7f 8 13 approach approach NOUN 8336h130n7f 8 14 of of ADP 8336h130n7f 8 15 gau gau PROPN 8336h130n7f 8 16 and and CCONJ 8336h130n7f 8 17 stadtherr stadtherr NOUN 8336h130n7f 8 18 , , PUNCT 8336h130n7f 8 19 have have AUX 8336h130n7f 8 20 shown show VERB 8336h130n7f 8 21 that that SCONJ 8336h130n7f 8 22 the the DET 8336h130n7f 8 23 new new ADJ 8336h130n7f 8 24 lp lp PROPN 8336h130n7f 8 25 strategy strategy NOUN 8336h130n7f 8 26 leads lead VERB 8336h130n7f 8 27 to to ADP 8336h130n7f 8 28 substantial substantial ADJ 8336h130n7f 8 29 reductions reduction NOUN 8336h130n7f 8 30 in in ADP 8336h130n7f 8 31 computation computation NOUN 8336h130n7f 8 32 time time NOUN 8336h130n7f 8 33 requirements requirement NOUN 8336h130n7f 8 34 . . PUNCT 8336h130n7f 9 1 in in ADP 8336h130n7f 9 2 addition addition NOUN 8336h130n7f 9 3 , , PUNCT 8336h130n7f 9 4 liss_lp liss_lp PROPN 8336h130n7f 9 5 has have AUX 8336h130n7f 9 6 also also ADV 8336h130n7f 9 7 been be AUX 8336h130n7f 9 8 applied apply VERB 8336h130n7f 9 9 to to ADP 8336h130n7f 9 10 some some DET 8336h130n7f 9 11 global global ADJ 8336h130n7f 9 12 optimization optimization NOUN 8336h130n7f 9 13 problems problem NOUN 8336h130n7f 9 14 arising arise VERB 8336h130n7f 9 15 in in ADP 8336h130n7f 9 16 molecular molecular ADJ 8336h130n7f 9 17 modeling modeling NOUN 8336h130n7f 9 18 , , PUNCT 8336h130n7f 9 19 such such ADJ 8336h130n7f 9 20 as as ADP 8336h130n7f 9 21 locating locate VERB 8336h130n7f 9 22 all all DET 8336h130n7f 9 23 stationary stationary ADJ 8336h130n7f 9 24 points point NOUN 8336h130n7f 9 25 of of ADP 8336h130n7f 9 26 the the DET 8336h130n7f 9 27 potential potential ADJ 8336h130n7f 9 28 energy energy NOUN 8336h130n7f 9 29 surface surface NOUN 8336h130n7f 9 30 of of ADP 8336h130n7f 9 31 a a DET 8336h130n7f 9 32 sorbate sorbate ADJ 8336h130n7f 9 33 particle particle NOUN 8336h130n7f 9 34 in in ADP 8336h130n7f 9 35 silicalite silicalite PROPN 8336h130n7f 9 36 , , PUNCT 8336h130n7f 9 37 locating locate VERB 8336h130n7f 9 38 all all DET 8336h130n7f 9 39 stationary stationary ADJ 8336h130n7f 9 40 points point NOUN 8336h130n7f 9 41 of of ADP 8336h130n7f 9 42 the the DET 8336h130n7f 9 43 potential potential ADJ 8336h130n7f 9 44 energy energy NOUN 8336h130n7f 9 45 surface surface NOUN 8336h130n7f 9 46 of of ADP 8336h130n7f 9 47 triatomic triatomic ADJ 8336h130n7f 9 48 molecules molecule NOUN 8336h130n7f 9 49 , , PUNCT 8336h130n7f 9 50 and and CCONJ 8336h130n7f 9 51 seeking seek VERB 8336h130n7f 9 52 molecular molecular ADJ 8336h130n7f 9 53 conformation conformation NOUN 8336h130n7f 9 54 with with ADP 8336h130n7f 9 55 global global ADJ 8336h130n7f 9 56 minimum minimum ADJ 8336h130n7f 9 57 potential potential ADJ 8336h130n7f 9 58 energy energy NOUN 8336h130n7f 9 59 . . PUNCT 8336h130n7f 10 1 it it PRON 8336h130n7f 10 2 has have AUX 8336h130n7f 10 3 been be AUX 8336h130n7f 10 4 shown show VERB 8336h130n7f 10 5 that that SCONJ 8336h130n7f 10 6 the the DET 8336h130n7f 10 7 new new ADJ 8336h130n7f 10 8 lp lp PROPN 8336h130n7f 10 9 - - PUNCT 8336h130n7f 10 10 based base VERB 8336h130n7f 10 11 strategy strategy NOUN 8336h130n7f 10 12 for for ADP 8336h130n7f 10 13 the the DET 8336h130n7f 10 14 interval interval NOUN 8336h130n7f 10 15 newton newton PROPN 8336h130n7f 10 16 method method NOUN 8336h130n7f 10 17 implemented implement VERB 8336h130n7f 10 18 in in ADP 8336h130n7f 10 19 liss_lp liss_lp PROPN 8336h130n7f 10 20 , , PUNCT 8336h130n7f 10 21 is be AUX 8336h130n7f 10 22 very very ADV 8336h130n7f 10 23 effective effective ADJ 8336h130n7f 10 24 on on ADP 8336h130n7f 10 25 these these DET 8336h130n7f 10 26 problems problem NOUN 8336h130n7f 10 27 . . PUNCT