id	sid	tid	token	lemma	pos
5712m615m59	1	1	we	we	PRON
5712m615m59	1	2	study	study	VERB
5712m615m59	1	3	expansions	expansion	NOUN
5712m615m59	1	4	near	near	ADP
5712m615m59	1	5	the	the	DET
5712m615m59	1	6	boundary	boundary	NOUN
5712m615m59	1	7	of	of	ADP
5712m615m59	1	8	solutions	solution	NOUN
5712m615m59	1	9	to	to	ADP
5712m615m59	1	10	the	the	DET
5712m615m59	1	11	dirichlet	dirichlet	NOUN
5712m615m59	1	12	problem	problem	NOUN
5712m615m59	1	13	for	for	ADP
5712m615m59	1	14	minimal	minimal	ADJ
5712m615m59	1	15	graphs	graph	NOUN
5712m615m59	1	16	in	in	ADP
5712m615m59	1	17	the	the	DET
5712m615m59	1	18	hyperbolic	hyperbolic	ADJ
5712m615m59	1	19	space	space	NOUN
5712m615m59	1	20	and	and	CCONJ
5712m615m59	1	21	characterize	characterize	VERB
5712m615m59	1	22	remainders	remainder	NOUN
5712m615m59	1	23	of	of	ADP
5712m615m59	1	24	the	the	DET
5712m615m59	1	25	expansions	expansion	NOUN
5712m615m59	1	26	by	by	ADP
5712m615m59	1	27	multiple	multiple	ADJ
5712m615m59	1	28	integrals	integral	NOUN
5712m615m59	1	29	.	.	PUNCT
5712m615m59	2	1	with	with	ADP
5712m615m59	2	2	such	such	DET
5712m615m59	2	3	a	a	DET
5712m615m59	2	4	characterization	characterization	NOUN
5712m615m59	2	5	,	,	PUNCT
5712m615m59	2	6	we	we	PRON
5712m615m59	2	7	establish	establish	VERB
5712m615m59	2	8	optimal	optimal	ADJ
5712m615m59	2	9	asymptotic	asymptotic	ADJ
5712m615m59	2	10	expansions	expansion	NOUN
5712m615m59	2	11	of	of	ADP
5712m615m59	2	12	solutions	solution	NOUN
5712m615m59	2	13	with	with	ADP
5712m615m59	2	14	boundary	boundary	ADJ
5712m615m59	2	15	values	value	NOUN
5712m615m59	2	16	of	of	ADP
5712m615m59	2	17	finite	finite	ADJ
5712m615m59	2	18	regularity	regularity	NOUN
5712m615m59	2	19	and	and	CCONJ
5712m615m59	2	20	demonstrate	demonstrate	VERB
5712m615m59	2	21	a	a	DET
5712m615m59	2	22	slight	slight	ADJ
5712m615m59	2	23	loss	loss	NOUN
5712m615m59	2	24	of	of	ADP
5712m615m59	2	25	regularity	regularity	NOUN
5712m615m59	2	26	for	for	ADP
5712m615m59	2	27	nonlocal	nonlocal	ADJ
5712m615m59	2	28	coefficients	coefficient	NOUN
5712m615m59	2	29	.	.	PUNCT