id	sid	tid	token	lemma	pos
pk02c823t7v	1	1	it	it	PRON
pk02c823t7v	1	2	is	be	AUX
pk02c823t7v	1	3	proved	prove	VERB
pk02c823t7v	1	4	that	that	SCONJ
pk02c823t7v	1	5	the	the	DET
pk02c823t7v	1	6	data	data	NOUN
pk02c823t7v	1	7	-	-	PUNCT
pk02c823t7v	1	8	to	to	ADP
pk02c823t7v	1	9	-	-	PUNCT
pk02c823t7v	1	10	solution	solution	NOUN
pk02c823t7v	1	11	map	map	NOUN
pk02c823t7v	1	12	for	for	ADP
pk02c823t7v	1	13	the	the	DET
pk02c823t7v	1	14	hunter	hunter	NOUN
pk02c823t7v	1	15	-	-	PUNCT
pk02c823t7v	1	16	saxton	saxton	NOUN
pk02c823t7v	1	17	(	(	PUNCT
pk02c823t7v	1	18	hs	hs	PROPN
pk02c823t7v	1	19	)	)	PUNCT
pk02c823t7v	1	20	is	be	AUX
pk02c823t7v	1	21	continuous	continuous	ADJ
pk02c823t7v	1	22	but	but	CCONJ
pk02c823t7v	1	23	not	not	PART
pk02c823t7v	1	24	uniformly	uniformly	ADV
pk02c823t7v	1	25	continuous	continuous	ADJ
pk02c823t7v	1	26	on	on	ADP
pk02c823t7v	1	27	bounded	bound	VERB
pk02c823t7v	1	28	subsets	subset	NOUN
pk02c823t7v	1	29	.	.	PUNCT
pk02c823t7v	2	1	to	to	PART
pk02c823t7v	2	2	demonstrate	demonstrate	VERB
pk02c823t7v	2	3	this	this	DET
pk02c823t7v	2	4	sharpness	sharpness	NOUN
pk02c823t7v	2	5	of	of	ADP
pk02c823t7v	2	6	continuity	continuity	NOUN
pk02c823t7v	2	7	,	,	PUNCT
pk02c823t7v	2	8	two	two	NUM
pk02c823t7v	2	9	sequences	sequence	NOUN
pk02c823t7v	2	10	of	of	ADP
pk02c823t7v	2	11	bounded	bound	VERB
pk02c823t7v	2	12	solutions	solution	NOUN
pk02c823t7v	2	13	to	to	ADP
pk02c823t7v	2	14	the	the	DET
pk02c823t7v	2	15	hs	hs	PROPN
pk02c823t7v	2	16	equation	equation	NOUN
pk02c823t7v	2	17	are	be	AUX
pk02c823t7v	2	18	constructed	construct	VERB
pk02c823t7v	2	19	whose	whose	DET
pk02c823t7v	2	20	distance	distance	NOUN
pk02c823t7v	2	21	at	at	ADP
pk02c823t7v	2	22	the	the	DET
pk02c823t7v	2	23	initial	initial	ADJ
pk02c823t7v	2	24	time	time	NOUN
pk02c823t7v	2	25	converges	converge	NOUN
pk02c823t7v	2	26	to	to	ADP
pk02c823t7v	2	27	zero	zero	NUM
pk02c823t7v	2	28	and	and	CCONJ
pk02c823t7v	2	29	whose	whose	DET
pk02c823t7v	2	30	distance	distance	NOUN
pk02c823t7v	2	31	at	at	ADP
pk02c823t7v	2	32	any	any	DET
pk02c823t7v	2	33	later	later	ADJ
pk02c823t7v	2	34	time	time	NOUN
pk02c823t7v	2	35	is	be	AUX
pk02c823t7v	2	36	bounded	bound	VERB
pk02c823t7v	2	37	from	from	ADP
pk02c823t7v	2	38	below	below	ADV
pk02c823t7v	2	39	by	by	ADP
pk02c823t7v	2	40	a	a	DET
pk02c823t7v	2	41	positive	positive	ADJ
pk02c823t7v	2	42	constant	constant	NOUN
pk02c823t7v	2	43	.	.	PUNCT
pk02c823t7v	3	1	to	to	PART
pk02c823t7v	3	2	achieve	achieve	VERB
pk02c823t7v	3	3	this	this	DET
pk02c823t7v	3	4	result	result	NOUN
pk02c823t7v	3	5	,	,	PUNCT
pk02c823t7v	3	6	approximate	approximate	ADJ
pk02c823t7v	3	7	solutions	solution	NOUN
pk02c823t7v	3	8	that	that	PRON
pk02c823t7v	3	9	satisfy	satisfy	VERB
pk02c823t7v	3	10	this	this	DET
pk02c823t7v	3	11	property	property	NOUN
pk02c823t7v	3	12	are	be	AUX
pk02c823t7v	3	13	chosen	choose	VERB
pk02c823t7v	3	14	,	,	PUNCT
pk02c823t7v	3	15	after	after	ADP
pk02c823t7v	3	16	which	which	PRON
pk02c823t7v	3	17	actual	actual	ADJ
pk02c823t7v	3	18	solutions	solution	NOUN
pk02c823t7v	3	19	are	be	AUX
pk02c823t7v	3	20	found	find	VERB
pk02c823t7v	3	21	by	by	ADP
pk02c823t7v	3	22	solving	solve	VERB
pk02c823t7v	3	23	the	the	DET
pk02c823t7v	3	24	hs	hs	X
pk02c823t7v	3	25	cauchy	cauchy	ADJ
pk02c823t7v	3	26	problem	problem	NOUN
pk02c823t7v	3	27	with	with	ADP
pk02c823t7v	3	28	initial	initial	ADJ
pk02c823t7v	3	29	data	datum	NOUN
pk02c823t7v	3	30	taken	take	VERB
pk02c823t7v	3	31	to	to	PART
pk02c823t7v	3	32	be	be	AUX
pk02c823t7v	3	33	the	the	DET
pk02c823t7v	3	34	value	value	NOUN
pk02c823t7v	3	35	of	of	ADP
pk02c823t7v	3	36	approximate	approximate	ADJ
pk02c823t7v	3	37	solutions	solution	NOUN
pk02c823t7v	3	38	at	at	ADP
pk02c823t7v	3	39	time	time	NOUN
pk02c823t7v	3	40	zero	zero	NUM
pk02c823t7v	3	41	.	.	PUNCT
pk02c823t7v	4	1	then	then	ADV
pk02c823t7v	4	2	,	,	PUNCT
pk02c823t7v	4	3	using	use	VERB
pk02c823t7v	4	4	well	well	ADJ
pk02c823t7v	4	5	-	-	PUNCT
pk02c823t7v	4	6	posedness	posedness	NOUN
pk02c823t7v	4	7	estimates	estimate	NOUN
pk02c823t7v	4	8	,	,	PUNCT
pk02c823t7v	4	9	it	it	PRON
pk02c823t7v	4	10	is	be	AUX
pk02c823t7v	4	11	shown	show	VERB
pk02c823t7v	4	12	that	that	SCONJ
pk02c823t7v	4	13	the	the	DET
pk02c823t7v	4	14	difference	difference	NOUN
pk02c823t7v	4	15	between	between	ADP
pk02c823t7v	4	16	solutions	solution	NOUN
pk02c823t7v	4	17	and	and	CCONJ
pk02c823t7v	4	18	approximate	approximate	ADJ
pk02c823t7v	4	19	solutions	solution	NOUN
pk02c823t7v	4	20	is	be	AUX
pk02c823t7v	4	21	negligible	negligible	ADJ
pk02c823t7v	4	22	.	.	PUNCT