id	sid	tid	token	lemma	pos
cbi-36	1	1	v1i1	v1i1	PROPN
cbi-36	1	2	54	54	NUM
cbi-36	1	3	letters	letter	NOUN
cbi-36	1	4	and	and	CCONJ
cbi-36	1	5	notes	note	VERB
cbi-36	1	6	laplace	laplace	NOUN
cbi-36	1	7	,	,	PUNCT
cbi-36	1	8	pierre	pierre	NOUN
cbi-36	1	9	-	-	PUNCT
cbi-36	1	10	simon	simon	PROPN
cbi-36	1	11	(	(	PUNCT
cbi-36	1	12	2012	2012	NUM
cbi-36	1	13	)	)	PUNCT
cbi-36	1	14	.	.	PUNCT
cbi-36	2	1	pierre	pierre	PROPN
cbi-36	2	2	-	-	PUNCT
cbi-36	2	3	simon	simon	PROPN
cbi-36	2	4	laplace	laplace	PROPN
cbi-36	2	5	philosophical	philosophical	ADJ
cbi-36	2	6	essay	essay	NOUN
cbi-36	2	7	on	on	ADP
cbi-36	2	8	probabilities	probability	NOUN
cbi-36	2	9	:	:	PUNCT
cbi-36	2	10	translated	translate	VERB
cbi-36	2	11	from	from	ADP
cbi-36	2	12	the	the	DET
cbi-36	2	13	fifth	fifth	ADJ
cbi-36	2	14	french	french	ADJ
cbi-36	2	15	edition	edition	NOUN
cbi-36	2	16	of	of	ADP
cbi-36	2	17	1825	1825	NUM
cbi-36	2	18	with	with	ADP
cbi-36	2	19	notes	note	NOUN
cbi-36	2	20	by	by	ADP
cbi-36	2	21	the	the	DET
cbi-36	2	22	translator	translator	NOUN
cbi-36	2	23	.	.	PUNCT
cbi-36	3	1	vol	vol	NOUN
cbi-36	3	2	.	.	PROPN
cbi-36	4	1	13	13	NUM
cbi-36	4	2	.	.	PUNCT
cbi-36	4	3	springer	springer	NOUN
cbi-36	4	4	science	science	PROPN
cbi-36	4	5	&	&	CCONJ
cbi-36	4	6	business	business	NOUN
cbi-36	4	7	media	medium	NOUN
cbi-36	4	8	.	.	PUNCT
cbi-36	5	1	levin	levin	PROPN
cbi-36	5	2	,	,	PUNCT
cbi-36	5	3	leonid	leonid	PROPN
cbi-36	5	4	a	a	PRON
cbi-36	5	5	(	(	PUNCT
cbi-36	5	6	1984	1984	NUM
cbi-36	5	7	)	)	PUNCT
cbi-36	5	8	.	.	PUNCT
cbi-36	6	1	“	"	PUNCT
cbi-36	6	2	randomness	randomness	NOUN
cbi-36	6	3	conservation	conservation	NOUN
cbi-36	6	4	inequalities	inequality	NOUN
cbi-36	6	5	;	;	PUNCT
cbi-36	6	6	information	information	NOUN
cbi-36	6	7	and	and	CCONJ
cbi-36	6	8	independence	independence	NOUN
cbi-36	6	9	in	in	ADP
cbi-36	6	10	mathematical	mathematical	ADJ
cbi-36	6	11	theories	theory	NOUN
cbi-36	6	12	”	"	PUNCT
cbi-36	6	13	.	.	PUNCT
cbi-36	7	1	in	in	ADP
cbi-36	7	2	:	:	PUNCT
cbi-36	7	3	information	information	NOUN
cbi-36	7	4	and	and	CCONJ
cbi-36	7	5	control	control	NOUN
cbi-36	7	6	61.1	61.1	NUM
cbi-36	7	7	,	,	PUNCT
cbi-36	7	8	pp	pp	ADJ
cbi-36	7	9	.	.	PUNCT
cbi-36	8	1	15–37	15–37	NOUN
cbi-36	8	2	.	.	PUNCT
cbi-36	9	1	menabrea	menabrea	PROPN
cbi-36	9	2	,	,	PUNCT
cbi-36	9	3	luigi	luigi	PROPN
cbi-36	9	4	federico	federico	PROPN
cbi-36	9	5	and	and	CCONJ
cbi-36	9	6	ada	ada	PROPN
cbi-36	9	7	lovelace	lovelace	PROPN
cbi-36	9	8	(	(	PUNCT
cbi-36	9	9	1842	1842	NUM
cbi-36	9	10	)	)	PUNCT
cbi-36	9	11	.	.	PUNCT
cbi-36	10	1	sketch	sketch	NOUN
cbi-36	10	2	of	of	ADP
cbi-36	10	3	the	the	DET
cbi-36	10	4	analytical	analytical	ADJ
cbi-36	10	5	engine	engine	NOUN
cbi-36	10	6	invented	invent	VERB
cbi-36	10	7	by	by	ADP
cbi-36	10	8	charles	charles	PROPN
cbi-36	10	9	babbage	babbage	PROPN
cbi-36	10	10	.	.	PUNCT
cbi-36	11	1	romer	romer	PROPN
cbi-36	11	2	,	,	PUNCT
cbi-36	11	3	paul	paul	PROPN
cbi-36	11	4	m	m	PROPN
cbi-36	11	5	(	(	PUNCT
cbi-36	11	6	1992	1992	NUM
cbi-36	11	7	)	)	PUNCT
cbi-36	11	8	.	.	PUNCT
cbi-36	12	1	“	"	PUNCT
cbi-36	12	2	two	two	NUM
cbi-36	12	3	strategies	strategy	NOUN
cbi-36	12	4	for	for	ADP
cbi-36	12	5	economic	economic	ADJ
cbi-36	12	6	development	development	NOUN
cbi-36	12	7	:	:	PUNCT
cbi-36	12	8	using	use	VERB
cbi-36	12	9	ideas	idea	NOUN
cbi-36	12	10	and	and	CCONJ
cbi-36	12	11	producing	produce	VERB
cbi-36	12	12	ideas	idea	NOUN
cbi-36	12	13	”	"	PUNCT
cbi-36	12	14	.	.	PUNCT
cbi-36	13	1	in	in	ADP
cbi-36	13	2	:	:	PUNCT
cbi-36	13	3	the	the	DET
cbi-36	13	4	world	world	PROPN
cbi-36	13	5	bank	bank	PROPN
cbi-36	13	6	economic	economic	PROPN
cbi-36	13	7	review	review	NOUN
cbi-36	13	8	6.suppl_1	6.suppl_1	NUM
cbi-36	13	9	,	,	PUNCT
cbi-36	13	10	pp	pp	ADJ
cbi-36	13	11	.	.	PUNCT
cbi-36	14	1	63–91	63–91	NUM
cbi-36	14	2	.	.	PUNCT
cbi-36	15	1	solow	solow	PROPN
cbi-36	15	2	,	,	PUNCT
cbi-36	15	3	robert	robert	PROPN
cbi-36	15	4	m	m	PROPN
cbi-36	15	5	(	(	PUNCT
cbi-36	15	6	1957	1957	NUM
cbi-36	15	7	)	)	PUNCT
cbi-36	15	8	.	.	PUNCT
cbi-36	16	1	“	"	PUNCT
cbi-36	16	2	technical	technical	ADJ
cbi-36	16	3	change	change	NOUN
cbi-36	16	4	and	and	CCONJ
cbi-36	16	5	the	the	DET
cbi-36	16	6	aggregate	aggregate	ADJ
cbi-36	16	7	production	production	NOUN
cbi-36	16	8	function	function	NOUN
cbi-36	16	9	”	"	PUNCT
cbi-36	16	10	.	.	PUNCT
cbi-36	17	1	in	in	ADP
cbi-36	17	2	:	:	PUNCT
cbi-36	17	3	the	the	DET
cbi-36	17	4	review	review	NOUN
cbi-36	17	5	of	of	ADP
cbi-36	17	6	economics	economic	NOUN
cbi-36	17	7	and	and	CCONJ
cbi-36	17	8	statistics	statistic	NOUN
cbi-36	17	9	39.3	39.3	NUM
cbi-36	17	10	,	,	PUNCT
cbi-36	17	11	pp	pp	ADJ
cbi-36	17	12	.	.	PUNCT
cbi-36	18	1	312–320	312–320	NUM
cbi-36	18	2	.	.	PUNCT
cbi-36	18	3	suárez	suárez	PROPN
cbi-36	18	4	,	,	PUNCT
cbi-36	18	5	fernando	fernando	PROPN
cbi-36	18	6	f	f	PROPN
cbi-36	18	7	and	and	CCONJ
cbi-36	18	8	james	james	PROPN
cbi-36	18	9	m	m	PROPN
cbi-36	18	10	utterback	utterback	NOUN
cbi-36	18	11	(	(	PUNCT
cbi-36	18	12	1995	1995	NUM
cbi-36	18	13	)	)	PUNCT
cbi-36	18	14	.	.	PUNCT
cbi-36	19	1	“	"	PUNCT
cbi-36	19	2	dominant	dominant	ADJ
cbi-36	19	3	designs	design	NOUN
cbi-36	19	4	and	and	CCONJ
cbi-36	19	5	the	the	DET
cbi-36	19	6	survival	survival	NOUN
cbi-36	19	7	of	of	ADP
cbi-36	19	8	firms	firm	NOUN
cbi-36	19	9	”	"	PUNCT
cbi-36	19	10	.	.	PUNCT
cbi-36	20	1	in	in	ADP
cbi-36	20	2	:	:	PUNCT
cbi-36	20	3	strategic	strategic	ADJ
cbi-36	20	4	management	management	NOUN
cbi-36	20	5	journal	journal	NOUN
cbi-36	20	6	16.6	16.6	NUM
cbi-36	20	7	,	,	PUNCT
cbi-36	20	8	pp	pp	ADJ
cbi-36	20	9	.	.	PUNCT
cbi-36	21	1	415–430	415–430	NUM
cbi-36	21	2	.	.	PUNCT
cbi-36	22	1	turing	ture	VERB
cbi-36	22	2	,	,	PUNCT
cbi-36	22	3	alan	alan	PROPN
cbi-36	22	4	m	m	PROPN
cbi-36	22	5	(	(	PUNCT
cbi-36	22	6	2009	2009	NUM
cbi-36	22	7	)	)	PUNCT
cbi-36	22	8	.	.	PUNCT
cbi-36	23	1	“	"	PUNCT
cbi-36	23	2	computing	compute	VERB
cbi-36	23	3	machinery	machinery	NOUN
cbi-36	23	4	and	and	CCONJ
cbi-36	23	5	intelligence	intelligence	NOUN
cbi-36	23	6	”	"	PUNCT
cbi-36	23	7	.	.	PUNCT
cbi-36	24	1	in	in	ADP
cbi-36	24	2	:	:	PUNCT
cbi-36	24	3	parsing	parse	VERB
cbi-36	24	4	the	the	DET
cbi-36	24	5	turing	ture	VERB
cbi-36	24	6	test	test	NOUN
cbi-36	24	7	.	.	PUNCT
cbi-36	25	1	springer	springer	NOUN
cbi-36	25	2	,	,	PUNCT
cbi-36	25	3	pp	pp	X
cbi-36	25	4	.	.	PUNCT
cbi-36	26	1	23	23	NUM
cbi-36	26	2	–	–	SYM
cbi-36	26	3	65	65	NUM
cbi-36	26	4	.	.	PUNCT
cbi-36	27	1	numberphile	numberphile	ADJ
cbi-36	27	2	’s	’s	PART
cbi-36	27	3	proof	proof	NOUN
cbi-36	27	4	for	for	ADP
cbi-36	27	5	the	the	DET
cbi-36	27	6	sum	sum	NOUN
cbi-36	27	7	1	1	NUM
cbi-36	27	8	+	+	CCONJ
cbi-36	27	9	2	2	NUM
cbi-36	27	10	+	+	NUM
cbi-36	27	11	3	3	NUM
cbi-36	27	12	+	+	NUM
cbi-36	27	13	.	.	PUNCT
cbi-36	27	14	.	.	PUNCT
cbi-36	27	15	.	.	PUNCT
cbi-36	28	1	jonathan	jonathan	PROPN
cbi-36	28	2	bartlett	bartlett	PROPN
cbi-36	28	3	and	and	CCONJ
cbi-36	28	4	asatur	asatur	PROPN
cbi-36	28	5	khurshudyan	khurshudyan	PROPN
cbi-36	28	6	doi	doi	PROPN
cbi-36	28	7	:	:	PUNCT
cbi-36	28	8	10.33014	10.33014	NUM
cbi-36	28	9	/	/	SYM
cbi-36	28	10	issn.2640	issn.2640	NOUN
cbi-36	28	11	-	-	PUNCT
cbi-36	28	12	5652.1.1.bartlett.3	5652.1.1.bartlett.3	NUM
cbi-36	28	13	in	in	ADP
cbi-36	28	14	2014	2014	NUM
cbi-36	28	15	,	,	PUNCT
cbi-36	28	16	youtube	youtube	PROPN
cbi-36	28	17	math	math	PROPN
cbi-36	28	18	vlogger	vlogger	PROPN
cbi-36	28	19	numberphile	numberphile	ADV
cbi-36	28	20	upset	upset	VERB
cbi-36	28	21	the	the	DET
cbi-36	28	22	amateur	amateur	ADJ
cbi-36	28	23	math	math	NOUN
cbi-36	28	24	world	world	NOUN
cbi-36	28	25	by	by	ADP
cbi-36	28	26	declaring	declare	VERB
cbi-36	28	27	that	that	SCONJ
cbi-36	28	28	the	the	DET
cbi-36	28	29	sum	sum	NOUN
cbi-36	28	30	of	of	ADP
cbi-36	28	31	all	all	DET
cbi-36	28	32	the	the	DET
cbi-36	28	33	natural	natural	ADJ
cbi-36	28	34	numbers	number	NOUN
cbi-36	28	35	(	(	PUNCT
cbi-36	28	36	i.e.	i.e.	X
cbi-36	28	37	,	,	PUNCT
cbi-36	28	38	the	the	DET
cbi-36	28	39	positive	positive	ADJ
cbi-36	28	40	integers	integer	NOUN
cbi-36	28	41	,	,	PUNCT
cbi-36	28	42	the	the	DET
cbi-36	28	43	infinite	infinite	ADJ
cbi-36	28	44	series	series	NOUN
cbi-36	28	45	1	1	NUM
cbi-36	28	46	+	+	CCONJ
cbi-36	28	47	2	2	NUM
cbi-36	28	48	+	+	NUM
cbi-36	28	49	3	3	NUM
cbi-36	28	50	+	+	NUM
cbi-36	28	51	.	.	PUNCT
cbi-36	28	52	.	.	PUNCT
cbi-36	28	53	.	.	PUNCT
cbi-36	28	54	)	)	PUNCT
cbi-36	29	1	is	be	AUX
cbi-36	29	2	−	−	PROPN
cbi-36	29	3	1	1	NUM
cbi-36	29	4	12	12	NUM
cbi-36	29	5	(	(	PUNCT
cbi-36	29	6	haran	haran	PROPN
cbi-36	29	7	and	and	CCONJ
cbi-36	29	8	padilla	padilla	PROPN
cbi-36	29	9	,	,	PUNCT
cbi-36	29	10	2014	2014	NUM
cbi-36	29	11	;	;	PUNCT
cbi-36	29	12	haran	haran	PROPN
cbi-36	29	13	,	,	PUNCT
cbi-36	29	14	2015	2015	NUM
cbi-36	29	15	)	)	PUNCT
cbi-36	29	16	.	.	PUNCT
cbi-36	30	1	while	while	SCONJ
cbi-36	30	2	this	this	PRON
cbi-36	30	3	is	be	AUX
cbi-36	30	4	indeed	indeed	ADV
cbi-36	30	5	the	the	DET
cbi-36	30	6	result	result	NOUN
cbi-36	30	7	of	of	ADP
cbi-36	30	8	the	the	DET
cbi-36	30	9	riemann	riemann	PROPN
cbi-36	30	10	zeta	zeta	PROPN
cbi-36	30	11	function	function	PROPN
cbi-36	30	12	applied	apply	VERB
cbi-36	30	13	to	to	ADP
cbi-36	30	14	−1	−1	NOUN
cbi-36	30	15	,	,	PUNCT
cbi-36	30	16	we	we	PRON
cbi-36	30	17	will	will	AUX
cbi-36	30	18	show	show	VERB
cbi-36	30	19	here	here	ADV
cbi-36	30	20	that	that	SCONJ
cbi-36	30	21	it	it	PRON
cbi-36	30	22	is	be	AUX
cbi-36	30	23	not	not	PART
cbi-36	30	24	the	the	DET
cbi-36	30	25	sum	sum	NOUN
cbi-36	30	26	of	of	ADP
cbi-36	30	27	1	1	NUM
cbi-36	30	28	+	+	SYM
cbi-36	30	29	2	2	NUM
cbi-36	30	30	+	+	NUM
cbi-36	30	31	3	3	NUM
cbi-36	30	32	+	+	NUM
cbi-36	30	33	.	.	PUNCT
cbi-36	30	34	.	.	PUNCT
cbi-36	31	1	..	..	PUNCT
cbi-36	32	1	the	the	DET
cbi-36	32	2	standard	standard	ADJ
cbi-36	32	3	summation	summation	NOUN
cbi-36	32	4	which	which	PRON
cbi-36	32	5	the	the	DET
cbi-36	32	6	riemann	riemann	PROPN
cbi-36	32	7	zeta	zeta	PROPN
cbi-36	32	8	function	function	PROPN
cbi-36	32	9	is	be	AUX
cbi-36	32	10	based	base	VERB
cbi-36	32	11	on	on	ADP
cbi-36	32	12	is	be	AUX
cbi-36	32	13	simple	simple	ADJ
cbi-36	32	14	:	:	PUNCT
cbi-36	32	15	ζ	ζ	NOUN
cbi-36	32	16	(	(	PUNCT
cbi-36	32	17	x	x	NOUN
cbi-36	32	18	)	)	PUNCT
cbi-36	32	19	=	=	SYM
cbi-36	32	20	∞	∞	PROPN
cbi-36	32	21	!	!	PUNCT
cbi-36	33	1	n=1	n=1	PROPN
cbi-36	33	2	1	1	NUM
cbi-36	33	3	nx	nx	NOUN
cbi-36	33	4	.	.	PUNCT
cbi-36	34	1	(	(	PUNCT
cbi-36	34	2	1	1	X
cbi-36	34	3	)	)	PUNCT
cbi-36	34	4	for	for	ADP
cbi-36	34	5	x	x	SYM
cbi-36	34	6	>	>	X
cbi-36	34	7	1	1	NUM
cbi-36	34	8	,	,	PUNCT
cbi-36	34	9	(	(	PUNCT
cbi-36	34	10	1	1	X
cbi-36	34	11	)	)	PUNCT
cbi-36	34	12	is	be	AUX
cbi-36	34	13	well	well	ADV
cbi-36	34	14	defined	define	VERB
cbi-36	34	15	and	and	CCONJ
cbi-36	34	16	makes	make	VERB
cbi-36	34	17	a	a	DET
cbi-36	34	18	convergent	convergent	NOUN
cbi-36	34	19	series	series	NOUN
cbi-36	34	20	.	.	PUNCT
cbi-36	35	1	for	for	ADP
cbi-36	35	2	x	x	SYM
cbi-36	35	3	≤	≤	NUM
cbi-36	35	4	1	1	NUM
cbi-36	35	5	,	,	PUNCT
cbi-36	35	6	(	(	PUNCT
cbi-36	35	7	1	1	X
cbi-36	35	8	)	)	PUNCT
cbi-36	35	9	no	no	ADV
cbi-36	35	10	longer	long	ADV
cbi-36	35	11	converges	converge	VERB
cbi-36	35	12	.	.	PUNCT
cbi-36	36	1	for	for	ADP
cbi-36	36	2	x	x	X
cbi-36	36	3	=	=	SYM
cbi-36	36	4	−1	−1	NOUN
cbi-36	36	5	,	,	PUNCT
cbi-36	36	6	(	(	PUNCT
cbi-36	36	7	1	1	X
cbi-36	36	8	)	)	PUNCT
cbi-36	36	9	is	be	AUX
cbi-36	36	10	equivalent	equivalent	ADJ
cbi-36	36	11	to	to	ADP
cbi-36	36	12	the	the	DET
cbi-36	36	13	series	series	NOUN
cbi-36	36	14	under	under	ADP
cbi-36	36	15	consideration	consideration	NOUN
cbi-36	36	16	,	,	PUNCT
cbi-36	36	17	1	1	NUM
cbi-36	36	18	+	+	SYM
cbi-36	36	19	2	2	NUM
cbi-36	36	20	+	+	NUM
cbi-36	36	21	3	3	NUM
cbi-36	36	22	+	+	NUM
cbi-36	36	23	.	.	PUNCT
cbi-36	36	24	.	.	PUNCT
cbi-36	37	1	..	..	PUNCT
cbi-36	38	1	the	the	DET
cbi-36	38	2	question	question	NOUN
cbi-36	38	3	is	be	AUX
cbi-36	38	4	whether	whether	SCONJ
cbi-36	38	5	or	or	CCONJ
cbi-36	38	6	not	not	PART
cbi-36	38	7	ζ	ζ	NOUN
cbi-36	38	8	(	(	PUNCT
cbi-36	38	9	−1	−1	NOUN
cbi-36	38	10	)	)	PUNCT
cbi-36	38	11	is	be	AUX
cbi-36	38	12	still	still	ADV
cbi-36	38	13	equivalent	equivalent	ADJ
cbi-36	38	14	to	to	ADP
cbi-36	38	15	the	the	DET
cbi-36	38	16	series	series	NOUN
cbi-36	38	17	implied	imply	VERB
cbi-36	38	18	by	by	ADP
cbi-36	38	19	(	(	PUNCT
cbi-36	38	20	1	1	NUM
cbi-36	38	21	)	)	PUNCT
cbi-36	38	22	.	.	PUNCT
cbi-36	39	1	if	if	SCONJ
cbi-36	39	2	it	it	PRON
cbi-36	39	3	is	be	AUX
cbi-36	39	4	,	,	PUNCT
cbi-36	39	5	then	then	ADV
cbi-36	39	6	1	1	NUM
cbi-36	39	7	+	+	SYM
cbi-36	39	8	2	2	NUM
cbi-36	39	9	+	+	SYM
cbi-36	39	10	3	3	NUM
cbi-36	39	11	+	+	NUM
cbi-36	39	12	.	.	PUNCT
cbi-36	39	13	.	.	PUNCT
cbi-36	40	1	.	.	PUNCT
cbi-36	41	1	is	be	AUX
cbi-36	41	2	indeed	indeed	ADV
cbi-36	41	3	equal	equal	ADJ
cbi-36	41	4	to	to	ADP
cbi-36	41	5	−	−	PROPN
cbi-36	41	6	1	1	NUM
cbi-36	41	7	12	12	NUM
cbi-36	41	8	.	.	PUNCT
cbi-36	42	1	according	accord	VERB
cbi-36	42	2	to	to	ADP
cbi-36	42	3	the	the	DET
cbi-36	42	4	video	video	NOUN
cbi-36	42	5	,	,	PUNCT
cbi-36	42	6	which	which	PRON
cbi-36	42	7	uses	use	VERB
cbi-36	42	8	a	a	DET
cbi-36	42	9	proof	proof	NOUN
cbi-36	42	10	based	base	VERB
cbi-36	42	11	on	on	ADP
cbi-36	42	12	the	the	DET
cbi-36	42	13	one	one	NOUN
cbi-36	42	14	originally	originally	ADV
cbi-36	42	15	given	give	VERB
cbi-36	42	16	by	by	ADP
cbi-36	42	17	ramanujan	ramanujan	NOUN
cbi-36	42	18	,	,	PUNCT
cbi-36	42	19	the	the	DET
cbi-36	42	20	proof	proof	NOUN
cbi-36	42	21	that	that	SCONJ
cbi-36	42	22	1	1	NUM
cbi-36	42	23	+	+	SYM
cbi-36	42	24	2	2	NUM
cbi-36	42	25	+	+	NOUN
cbi-36	42	26	3	3	NUM
cbi-36	42	27	+	+	NOUN
cbi-36	42	28	.	.	PUNCT
cbi-36	42	29	.	.	PUNCT
cbi-36	42	30	.	.	PUNCT
cbi-36	43	1	=	=	PUNCT
cbi-36	44	1	−	−	NOUN
cbi-36	44	2	1	1	NUM
cbi-36	44	3	12	12	NUM
cbi-36	44	4	can	can	AUX
cbi-36	44	5	be	be	AUX
cbi-36	44	6	shown	show	VERB
cbi-36	44	7	by	by	ADP
cbi-36	44	8	beginning	begin	VERB
cbi-36	44	9	as	as	SCONJ
cbi-36	44	10	follows	follow	VERB
cbi-36	44	11	.	.	PUNCT
cbi-36	45	1	first	first	ADV
cbi-36	45	2	,	,	PUNCT
cbi-36	45	3	start	start	VERB
cbi-36	45	4	with	with	ADP
cbi-36	45	5	the	the	DET
cbi-36	45	6	following	follow	VERB
cbi-36	45	7	series	series	NOUN
cbi-36	45	8	:	:	PUNCT
cbi-36	45	9	s1	s1	NOUN
cbi-36	45	10	=	=	SYM
cbi-36	45	11	1	1	NUM
cbi-36	45	12	−	−	NUM
cbi-36	45	13	1	1	NUM
cbi-36	45	14	+	+	CCONJ
cbi-36	45	15	1	1	NUM
cbi-36	45	16	−	−	NOUN
cbi-36	45	17	1	1	NUM
cbi-36	45	18	.	.	PUNCT
cbi-36	45	19	.	.	PUNCT
cbi-36	45	20	.	.	PUNCT
cbi-36	46	1	(	(	PUNCT
cbi-36	46	2	2	2	X
cbi-36	46	3	)	)	PUNCT
cbi-36	46	4	s2	s2	NOUN
cbi-36	46	5	=	=	NOUN
cbi-36	46	6	1	1	NUM
cbi-36	46	7	−	−	NUM
cbi-36	46	8	2	2	NUM
cbi-36	46	9	+	+	CCONJ
cbi-36	46	10	3	3	NUM
cbi-36	46	11	−	−	NOUN
cbi-36	46	12	4	4	NUM
cbi-36	46	13	.	.	PUNCT
cbi-36	46	14	.	.	PUNCT
cbi-36	46	15	.	.	PUNCT
cbi-36	47	1	(	(	PUNCT
cbi-36	47	2	3	3	X
cbi-36	47	3	)	)	PUNCT
cbi-36	47	4	s3	s3	NOUN
cbi-36	47	5	=	=	NOUN
cbi-36	47	6	1	1	NUM
cbi-36	47	7	+	+	NUM
cbi-36	47	8	2	2	NUM
cbi-36	47	9	+	+	NUM
cbi-36	47	10	3	3	NUM
cbi-36	47	11	+	+	SYM
cbi-36	47	12	4	4	NUM
cbi-36	47	13	.	.	PUNCT
cbi-36	47	14	.	.	PUNCT
cbi-36	47	15	.	.	PUNCT
cbi-36	48	1	(	(	PUNCT
cbi-36	48	2	4	4	X
cbi-36	48	3	)	)	PUNCT
cbi-36	48	4	s1	s1	NOUN
cbi-36	48	5	has	have	VERB
cbi-36	48	6	the	the	DET
cbi-36	48	7	well	well	ADV
cbi-36	48	8	-	-	PUNCT
cbi-36	48	9	known	know	VERB
cbi-36	48	10	value	value	NOUN
cbi-36	48	11	of	of	ADP
cbi-36	48	12	1	1	NUM
cbi-36	48	13	2	2	NUM
cbi-36	48	14	and	and	CCONJ
cbi-36	48	15	s2	s2	PROPN
cbi-36	48	16	has	have	VERB
cbi-36	48	17	the	the	DET
cbi-36	48	18	well	well	ADV
cbi-36	48	19	-	-	PUNCT
cbi-36	48	20	known	know	VERB
cbi-36	48	21	value	value	NOUN
cbi-36	48	22	of	of	ADP
cbi-36	48	23	1	1	NUM
cbi-36	48	24	4	4	NUM
cbi-36	48	25	.	.	PUNCT
cbi-36	49	1	he	he	PRON
cbi-36	49	2	then	then	ADV
cbi-36	49	3	subtracts	subtract	VERB
cbi-36	49	4	s3	s3	PROPN
cbi-36	49	5	−	−	PROPN
cbi-36	49	6	s2	s2	PROPN
cbi-36	49	7	.	.	PUNCT
cbi-36	50	1	doing	do	VERB
cbi-36	50	2	this	this	DET
cbi-36	50	3	yields	yield	NOUN
cbi-36	50	4	the	the	DET
cbi-36	50	5	series	series	NOUN
cbi-36	50	6	0	0	PUNCT
cbi-36	51	1	+	+	CCONJ
cbi-36	51	2	4	4	NUM
cbi-36	51	3	+	+	SYM
cbi-36	51	4	0	0	NUM
cbi-36	51	5	+	+	NUM
cbi-36	51	6	8	8	NUM
cbi-36	51	7	.	.	PUNCT
cbi-36	51	8	.	.	PUNCT
cbi-36	52	1	..	..	PUNCT
cbi-36	53	1	the	the	DET
cbi-36	53	2	error	error	NOUN
cbi-36	53	3	comes	come	VERB
cbi-36	53	4	next	next	ADV
cbi-36	53	5	.	.	PUNCT
cbi-36	54	1	this	this	PRON
cbi-36	54	2	is	be	AUX
cbi-36	54	3	claimed	claim	VERB
cbi-36	54	4	to	to	PART
cbi-36	54	5	be	be	AUX
cbi-36	54	6	equivalent	equivalent	ADJ
cbi-36	54	7	to	to	ADP
cbi-36	54	8	the	the	DET
cbi-36	54	9	series	series	NOUN
cbi-36	54	10	4	4	NUM
cbi-36	54	11	+	+	SYM
cbi-36	54	12	8	8	NUM
cbi-36	54	13	+	+	SYM
cbi-36	54	14	12	12	NUM
cbi-36	54	15	.	.	PUNCT
cbi-36	54	16	.	.	PUNCT
cbi-36	55	1	.	.	PUNCT
cbi-36	56	1	,	,	PUNCT
cbi-36	56	2	which	which	PRON
cbi-36	56	3	would	would	AUX
cbi-36	56	4	be	be	AUX
cbi-36	56	5	4s3	4s3	NUM
cbi-36	56	6	.	.	PUNCT
cbi-36	57	1	this	this	PRON
cbi-36	57	2	gives	give	VERB
cbi-36	57	3	the	the	DET
cbi-36	57	4	equation	equation	NOUN
cbi-36	57	5	s3	s3	PROPN
cbi-36	57	6	−	−	PROPN
cbi-36	57	7	s2	s2	NOUN
cbi-36	57	8	=	=	PUNCT
cbi-36	57	9	4s3	4s3	NUM
cbi-36	57	10	.	.	PUNCT
cbi-36	58	1	because	because	SCONJ
cbi-36	58	2	s2	s2	NOUN
cbi-36	58	3	=	=	NOUN
cbi-36	58	4	1	1	NUM
cbi-36	58	5	4	4	NUM
cbi-36	58	6	,	,	PUNCT
cbi-36	58	7	this	this	PRON
cbi-36	58	8	can	can	AUX
cbi-36	58	9	be	be	AUX
cbi-36	58	10	then	then	ADV
cbi-36	58	11	solved	solve	VERB
cbi-36	58	12	.	.	PUNCT
cbi-36	59	1	s3	s3	NOUN
cbi-36	59	2	−	−	NUM
cbi-36	59	3	1	1	NUM
cbi-36	59	4	4	4	NUM
cbi-36	59	5	=	=	SYM
cbi-36	59	6	4s3	4s3	NUM
cbi-36	59	7	(	(	PUNCT
cbi-36	59	8	5	5	NUM
cbi-36	59	9	)	)	PUNCT
cbi-36	59	10	3s3	3s3	NUM
cbi-36	59	11	=	=	PUNCT
cbi-36	60	1	−	−	PROPN
cbi-36	60	2	1	1	NUM
cbi-36	60	3	4	4	NUM
cbi-36	60	4	(	(	PUNCT
cbi-36	60	5	6	6	NUM
cbi-36	60	6	)	)	PUNCT
cbi-36	60	7	s3	s3	NOUN
cbi-36	60	8	=	=	SYM
cbi-36	60	9	−	−	PROPN
cbi-36	60	10	1	1	NUM
cbi-36	60	11	12	12	NUM
cbi-36	60	12	(	(	PUNCT
cbi-36	60	13	7	7	NUM
cbi-36	60	14	)	)	PUNCT
cbi-36	60	15	as	as	SCONJ
cbi-36	60	16	suggested	suggest	VERB
cbi-36	60	17	the	the	DET
cbi-36	60	18	problem	problem	NOUN
cbi-36	60	19	comes	come	VERB
cbi-36	60	20	with	with	ADP
cbi-36	60	21	stating	state	VERB
cbi-36	60	22	that	that	SCONJ
cbi-36	60	23	0	0	NUM
cbi-36	61	1	+	+	CCONJ
cbi-36	61	2	4	4	NUM
cbi-36	61	3	+	+	SYM
cbi-36	61	4	0	0	NUM
cbi-36	62	1	+	+	NUM
cbi-36	62	2	8	8	NUM
cbi-36	62	3	+	+	SYM
cbi-36	62	4	0	0	NUM
cbi-36	63	1	+	+	CCONJ
cbi-36	63	2	12	12	NUM
cbi-36	63	3	.	.	PUNCT
cbi-36	63	4	.	.	PUNCT
cbi-36	63	5	.	.	PUNCT
cbi-36	64	1	=	=	PUNCT
cbi-36	64	2	4	4	NUM
cbi-36	64	3	+	+	NUM
cbi-36	64	4	8	8	NUM
cbi-36	64	5	+	+	NUM
cbi-36	64	6	12	12	NUM
cbi-36	64	7	.	.	PUNCT
cbi-36	64	8	.	.	PUNCT
cbi-36	64	9	.	.	PUNCT
cbi-36	64	10	.	.	PUNCT
cbi-36	65	1	volume	volume	NOUN
cbi-36	65	2	1	1	NUM
cbi-36	65	3	,	,	PUNCT
cbi-36	65	4	issue	issue	NOUN
cbi-36	65	5	1	1	NUM
cbi-36	65	6	numberphile	numberphile	NOUN
cbi-36	65	7	’s	’s	PART
cbi-36	65	8	proof	proof	NOUN
cbi-36	65	9	for	for	ADP
cbi-36	65	10	the	the	DET
cbi-36	65	11	sum	sum	NOUN
cbi-36	65	12	1	1	NUM
cbi-36	66	1	+	+	CCONJ
cbi-36	66	2	2	2	NUM
cbi-36	66	3	+	+	NUM
cbi-36	66	4	3	3	NUM
cbi-36	66	5	+	+	NUM
cbi-36	66	6	.	.	PUNCT
cbi-36	66	7	.	.	PUNCT
cbi-36	66	8	.	.	PUNCT
cbi-36	67	1	55	55	NUM
cbi-36	67	2	bartlett	bartlett	NOUN
cbi-36	67	3	,	,	PUNCT
cbi-36	67	4	gaastra	gaastra	PROPN
cbi-36	67	5	,	,	PUNCT
cbi-36	67	6	and	and	CCONJ
cbi-36	67	7	nemati	nemati	NOUN
cbi-36	67	8	(	(	PUNCT
cbi-36	67	9	2018	2018	NUM
cbi-36	67	10	)	)	PUNCT
cbi-36	67	11	developed	develop	VERB
cbi-36	67	12	a	a	DET
cbi-36	67	13	technique	technique	NOUN
cbi-36	67	14	,	,	PUNCT
cbi-36	67	15	which	which	PRON
cbi-36	67	16	we	we	PRON
cbi-36	67	17	can	can	AUX
cbi-36	67	18	term	term	VERB
cbi-36	67	19	the	the	DET
cbi-36	67	20	bgn	bgn	NOUN
cbi-36	67	21	technique	technique	NOUN
cbi-36	67	22	,	,	PUNCT
cbi-36	67	23	that	that	PRON
cbi-36	67	24	assigns	assign	VERB
cbi-36	67	25	hyperreal	hyperreal	ADJ
cbi-36	67	26	values	value	NOUN
cbi-36	67	27	to	to	ADP
cbi-36	67	28	divergent	divergent	ADJ
cbi-36	67	29	sums	sum	NOUN
cbi-36	67	30	.	.	PUNCT
cbi-36	68	1	applying	apply	VERB
cbi-36	68	2	the	the	DET
cbi-36	68	3	bgn	bgn	NOUN
cbi-36	68	4	technique	technique	NOUN
cbi-36	68	5	shows	show	VERB
cbi-36	68	6	that	that	SCONJ
cbi-36	68	7	,	,	PUNCT
cbi-36	68	8	even	even	ADV
cbi-36	68	9	though	though	SCONJ
cbi-36	68	10	it	it	PRON
cbi-36	68	11	may	may	AUX
cbi-36	68	12	seem	seem	VERB
cbi-36	68	13	counterintuitive	counterintuitive	ADJ
cbi-36	68	14	,	,	PUNCT
cbi-36	68	15	adding	add	VERB
cbi-36	68	16	zeroes	zero	NOUN
cbi-36	68	17	in	in	ADP
cbi-36	68	18	the	the	DET
cbi-36	68	19	middle	middle	NOUN
cbi-36	68	20	of	of	ADP
cbi-36	68	21	an	an	DET
cbi-36	68	22	infinite	infinite	ADJ
cbi-36	68	23	sum	sum	NOUN
cbi-36	68	24	changes	change	VERB
cbi-36	68	25	the	the	DET
cbi-36	68	26	value	value	NOUN
cbi-36	68	27	of	of	ADP
cbi-36	68	28	the	the	DET
cbi-36	68	29	sum	sum	NOUN
cbi-36	68	30	,	,	PUNCT
cbi-36	68	31	therefore	therefore	ADV
cbi-36	68	32	invalidating	invalidate	VERB
cbi-36	68	33	the	the	DET
cbi-36	68	34	proof	proof	NOUN
cbi-36	68	35	.	.	PUNCT
cbi-36	69	1	according	accord	VERB
cbi-36	69	2	to	to	ADP
cbi-36	69	3	the	the	DET
cbi-36	69	4	method	method	NOUN
cbi-36	69	5	given	give	VERB
cbi-36	69	6	in	in	ADP
cbi-36	69	7	bartlett	bartlett	PROPN
cbi-36	69	8	,	,	PUNCT
cbi-36	69	9	gaastra	gaastra	PROPN
cbi-36	69	10	,	,	PUNCT
cbi-36	69	11	and	and	CCONJ
cbi-36	69	12	nemati	nemati	NOUN
cbi-36	69	13	(	(	PUNCT
cbi-36	69	14	2018	2018	NUM
cbi-36	69	15	)	)	PUNCT
cbi-36	69	16	,	,	PUNCT
cbi-36	69	17	the	the	DET
cbi-36	69	18	sum	sum	NOUN
cbi-36	69	19	of	of	ADP
cbi-36	69	20	1	1	NUM
cbi-36	69	21	+	+	SYM
cbi-36	69	22	2	2	NUM
cbi-36	69	23	+	+	SYM
cbi-36	69	24	3	3	NUM
cbi-36	69	25	.	.	PUNCT
cbi-36	69	26	.	.	PUNCT
cbi-36	70	1	.	.	PUNCT
cbi-36	71	1	is	be	AUX
cbi-36	71	2	the	the	DET
cbi-36	71	3	hyperreal	hyperreal	NOUN
cbi-36	71	4	value	value	NOUN
cbi-36	71	5	ω2	ω2	ADJ
cbi-36	71	6	2	2	NUM
cbi-36	71	7	+	+	SYM
cbi-36	71	8	ω	ω	NUM
cbi-36	71	9	2	2	NUM
cbi-36	71	10	.	.	PUNCT
cbi-36	72	1	the	the	DET
cbi-36	72	2	sum	sum	NOUN
cbi-36	72	3	of	of	ADP
cbi-36	72	4	0	0	NUM
cbi-36	72	5	+	+	NOUN
cbi-36	72	6	4	4	NUM
cbi-36	72	7	+	+	NOUN
cbi-36	72	8	0	0	NUM
cbi-36	72	9	+	+	NOUN
cbi-36	72	10	8	8	NUM
cbi-36	72	11	+	+	NOUN
cbi-36	72	12	0	0	NUM
cbi-36	72	13	.	.	PUNCT
cbi-36	72	14	.	.	PUNCT
cbi-36	73	1	.	.	PUNCT
cbi-36	74	1	is	be	AUX
cbi-36	74	2	the	the	DET
cbi-36	74	3	hyperreal	hyperreal	NOUN
cbi-36	74	4	value	value	NOUN
cbi-36	74	5	ω2	ω2	ADJ
cbi-36	74	6	2	2	NUM
cbi-36	74	7	+	+	SYM
cbi-36	74	8	ω	ω	NUM
cbi-36	74	9	2	2	NUM
cbi-36	74	10	−	−	NOUN
cbi-36	74	11	1	1	NUM
cbi-36	74	12	4	4	NUM
cbi-36	74	13	,	,	PUNCT
cbi-36	74	14	which	which	PRON
cbi-36	74	15	,	,	PUNCT
cbi-36	74	16	in	in	ADP
cbi-36	74	17	fact	fact	NOUN
cbi-36	74	18	,	,	PUNCT
cbi-36	74	19	is	be	AUX
cbi-36	74	20	the	the	DET
cbi-36	74	21	result	result	NOUN
cbi-36	74	22	of	of	ADP
cbi-36	74	23	s3−	s3−	PROPN
cbi-36	74	24	1	1	NUM
cbi-36	74	25	4	4	NUM
cbi-36	74	26	.	.	PUNCT
cbi-36	75	1	note	note	VERB
cbi-36	75	2	that	that	SCONJ
cbi-36	75	3	both	both	PRON
cbi-36	75	4	of	of	ADP
cbi-36	75	5	these	these	DET
cbi-36	75	6	series	serie	NOUN
cbi-36	75	7	are	be	AUX
cbi-36	75	8	essentially	essentially	ADV
cbi-36	75	9	the	the	DET
cbi-36	75	10	same	same	ADJ
cbi-36	75	11	value	value	NOUN
cbi-36	75	12	,	,	PUNCT
cbi-36	75	13	as	as	SCONJ
cbi-36	75	14	the	the	DET
cbi-36	75	15	lower	low	ADJ
cbi-36	75	16	-	-	PUNCT
cbi-36	75	17	orders	order	NOUN
cbi-36	75	18	of	of	ADP
cbi-36	75	19	infinity	infinity	NOUN
cbi-36	75	20	are	be	AUX
cbi-36	75	21	essentially	essentially	ADV
cbi-36	75	22	noise	noise	NOUN
cbi-36	75	23	compared	compare	VERB
cbi-36	75	24	with	with	ADP
cbi-36	75	25	the	the	DET
cbi-36	75	26	highest	high	ADJ
cbi-36	75	27	order	order	NOUN
cbi-36	75	28	term	term	NOUN
cbi-36	75	29	,	,	PUNCT
cbi-36	75	30	which	which	PRON
cbi-36	75	31	is	be	AUX
cbi-36	75	32	ω2	ω2	ADJ
cbi-36	75	33	2	2	NUM
cbi-36	75	34	.	.	PUNCT
cbi-36	76	1	the	the	DET
cbi-36	76	2	reason	reason	NOUN
cbi-36	76	3	why	why	SCONJ
cbi-36	76	4	ζ	ζ	NOUN
cbi-36	76	5	(	(	PUNCT
cbi-36	76	6	−1	−1	NOUN
cbi-36	76	7	)	)	PUNCT
cbi-36	76	8	=	=	PUNCT
cbi-36	77	1	−	−	PROPN
cbi-36	77	2	1	1	NUM
cbi-36	77	3	12	12	NUM
cbi-36	77	4	while	while	SCONJ
cbi-36	77	5	the	the	DET
cbi-36	77	6	series	series	NOUN
cbi-36	77	7	(	(	PUNCT
cbi-36	77	8	1	1	X
cbi-36	77	9	)	)	PUNCT
cbi-36	77	10	does	do	AUX
cbi-36	77	11	n’t	not	PART
cbi-36	77	12	is	be	AUX
cbi-36	77	13	that	that	SCONJ
cbi-36	77	14	ζ	ζ	NOUN
cbi-36	77	15	(	(	PUNCT
cbi-36	77	16	−1	−1	NOUN
cbi-36	77	17	)	)	PUNCT
cbi-36	77	18	is	be	AUX
cbi-36	77	19	evaluated	evaluate	VERB
cbi-36	77	20	using	use	VERB
cbi-36	77	21	the	the	DET
cbi-36	77	22	zeta	zeta	PROPN
cbi-36	77	23	function	function	NOUN
cbi-36	77	24	’s	’s	PART
cbi-36	77	25	analytic	analytic	ADJ
cbi-36	77	26	continuation	continuation	NOUN
cbi-36	77	27	(	(	PUNCT
cbi-36	77	28	a	a	DET
cbi-36	77	29	modification	modification	NOUN
cbi-36	77	30	of	of	ADP
cbi-36	77	31	a	a	DET
cbi-36	77	32	function	function	NOUN
cbi-36	77	33	that	that	PRON
cbi-36	77	34	expands	expand	VERB
cbi-36	77	35	its	its	PRON
cbi-36	77	36	domain	domain	NOUN
cbi-36	77	37	)	)	PUNCT
cbi-36	77	38	,	,	PUNCT
cbi-36	77	39	not	not	PART
cbi-36	77	40	the	the	DET
cbi-36	77	41	series	series	NOUN
cbi-36	77	42	given	give	VERB
cbi-36	77	43	in	in	ADP
cbi-36	77	44	(	(	PUNCT
cbi-36	77	45	1	1	NUM
cbi-36	77	46	)	)	PUNCT
cbi-36	77	47	.	.	PUNCT
cbi-36	78	1	the	the	DET
cbi-36	78	2	analytic	analytic	ADJ
cbi-36	78	3	continuation	continuation	NOUN
cbi-36	78	4	of	of	ADP
cbi-36	78	5	ζ	ζ	NOUN
cbi-36	78	6	(	(	PUNCT
cbi-36	78	7	the	the	DET
cbi-36	78	8	expanded	expand	VERB
cbi-36	78	9	expression	expression	NOUN
cbi-36	78	10	that	that	PRON
cbi-36	78	11	actually	actually	ADV
cbi-36	78	12	is	be	AUX
cbi-36	78	13	valid	valid	ADJ
cbi-36	78	14	for	for	ADP
cbi-36	78	15	−1	−1	NOUN
cbi-36	78	16	)	)	PUNCT
cbi-36	78	17	is	be	AUX
cbi-36	78	18	,	,	PUNCT
cbi-36	78	19	according	accord	VERB
cbi-36	78	20	to	to	ADP
cbi-36	78	21	lavrik	lavrik	PROPN
cbi-36	78	22	(	(	PUNCT
cbi-36	78	23	2011	2011	NUM
cbi-36	78	24	)	)	PUNCT
cbi-36	78	25	,	,	PUNCT
cbi-36	78	26	π−x/2γ	π−x/2γ	X
cbi-36	78	27	"	"	PUNCT
cbi-36	78	28	x	x	SYM
cbi-36	78	29	2	2	NUM
cbi-36	78	30	#	#	NOUN
cbi-36	78	31	ζ	ζ	NOUN
cbi-36	78	32	(	(	PUNCT
cbi-36	78	33	x	x	NOUN
cbi-36	78	34	)	)	PUNCT
cbi-36	78	35	=	=	SYM
cbi-36	78	36	1	1	NUM
cbi-36	78	37	x(x	x(x	PROPN
cbi-36	78	38	−	−	PROPN
cbi-36	78	39	1	1	NUM
cbi-36	78	40	)	)	PUNCT
cbi-36	78	41	+	+	CCONJ
cbi-36	78	42	$	$	SYM
cbi-36	78	43	∞	∞	NUM
cbi-36	78	44	1	1	NUM
cbi-36	78	45	%	%	NOUN
cbi-36	78	46	x−(1−x/2	x−(1−x/2	NOUN
cbi-36	78	47	)	)	PUNCT
cbi-36	78	48	+	+	CCONJ
cbi-36	78	49	x−(1−(1−s)/2	x−(1−(1−s)/2	PROPN
cbi-36	78	50	)	)	PUNCT
cbi-36	78	51	&	&	CCONJ
cbi-36	78	52	θ(x	θ(x	PROPN
cbi-36	78	53	)	)	PUNCT
cbi-36	78	54	dx	dx	PROPN
cbi-36	78	55	,	,	PUNCT
cbi-36	78	56	(	(	PUNCT
cbi-36	78	57	8)	8)	NUM
cbi-36	78	58	where	where	SCONJ
cbi-36	78	59	γ	γ	PROPN
cbi-36	78	60	is	be	AUX
cbi-36	78	61	the	the	DET
cbi-36	78	62	euler	euler	PROPN
cbi-36	78	63	gamma	gamma	PROPN
cbi-36	78	64	function	function	NOUN
cbi-36	78	65	,	,	PUNCT
cbi-36	78	66	and	and	CCONJ
cbi-36	78	67	θ(x	θ(x	PROPN
cbi-36	78	68	)	)	PUNCT
cbi-36	79	1	is'∞	is'∞	ADP
cbi-36	79	2	n=1	n=1	PROPN
cbi-36	79	3	e−πn	e−πn	PROPN
cbi-36	79	4	2x	2x	NUM
cbi-36	79	5	.	.	PUNCT
cbi-36	80	1	this	this	PRON
cbi-36	80	2	is	be	AUX
cbi-36	80	3	no	no	ADV
cbi-36	80	4	longer	long	ADV
cbi-36	80	5	identical	identical	ADJ
cbi-36	80	6	to	to	ADP
cbi-36	80	7	the	the	DET
cbi-36	80	8	original	original	ADJ
cbi-36	80	9	expression	expression	NOUN
cbi-36	80	10	given	give	VERB
cbi-36	80	11	in	in	ADP
cbi-36	80	12	(	(	PUNCT
cbi-36	80	13	1	1	NUM
cbi-36	80	14	)	)	PUNCT
cbi-36	80	15	.	.	PUNCT
cbi-36	81	1	however	however	ADV
cbi-36	81	2	,	,	PUNCT
cbi-36	81	3	the	the	DET
cbi-36	81	4	question	question	NOUN
cbi-36	81	5	still	still	ADV
cbi-36	81	6	remains	remain	VERB
cbi-36	81	7	why	why	SCONJ
cbi-36	81	8	physicists	physicist	NOUN
cbi-36	81	9	can	can	AUX
cbi-36	81	10	use	use	VERB
cbi-36	81	11	−	−	PROPN
cbi-36	81	12	1	1	NUM
cbi-36	81	13	12	12	NUM
cbi-36	81	14	as	as	ADP
cbi-36	81	15	a	a	DET
cbi-36	81	16	stand	stand	NOUN
cbi-36	81	17	-	-	PUNCT
cbi-36	81	18	in	in	NOUN
cbi-36	81	19	for	for	ADP
cbi-36	81	20	the	the	DET
cbi-36	81	21	sum	sum	NOUN
cbi-36	81	22	of	of	ADP
cbi-36	81	23	all	all	DET
cbi-36	81	24	natural	natural	ADJ
cbi-36	81	25	numbers	number	NOUN
cbi-36	81	26	.	.	PUNCT
cbi-36	82	1	as	as	SCONJ
cbi-36	82	2	haran	haran	PROPN
cbi-36	82	3	and	and	CCONJ
cbi-36	82	4	padilla	padilla	PROPN
cbi-36	82	5	(	(	PUNCT
cbi-36	82	6	2014	2014	NUM
cbi-36	82	7	)	)	PUNCT
cbi-36	82	8	point	point	VERB
cbi-36	82	9	out	out	ADP
cbi-36	82	10	,	,	PUNCT
cbi-36	82	11	in	in	ADP
cbi-36	82	12	several	several	ADJ
cbi-36	82	13	aspects	aspect	NOUN
cbi-36	82	14	of	of	ADP
cbi-36	82	15	physics	physics	NOUN
cbi-36	82	16	,	,	PUNCT
cbi-36	82	17	such	such	ADJ
cbi-36	82	18	as	as	ADP
cbi-36	82	19	for	for	ADP
cbi-36	82	20	the	the	DET
cbi-36	82	21	casimir	casimir	NOUN
cbi-36	82	22	effect	effect	NOUN
cbi-36	82	23	,	,	PUNCT
cbi-36	82	24	when	when	SCONJ
cbi-36	82	25	physicists	physicist	NOUN
cbi-36	82	26	need	need	VERB
cbi-36	82	27	a	a	DET
cbi-36	82	28	sum	sum	NOUN
cbi-36	82	29	of	of	ADP
cbi-36	82	30	all	all	DET
cbi-36	82	31	natural	natural	ADJ
cbi-36	82	32	numbers	number	NOUN
cbi-36	82	33	,	,	PUNCT
cbi-36	82	34	the	the	DET
cbi-36	82	35	zeta	zeta	NOUN
cbi-36	82	36	function	function	NOUN
cbi-36	82	37	can	can	AUX
cbi-36	82	38	act	act	VERB
cbi-36	82	39	as	as	ADP
cbi-36	82	40	a	a	DET
cbi-36	82	41	stand	stand	NOUN
cbi-36	82	42	-	-	PUNCT
cbi-36	82	43	in	in	NOUN
cbi-36	82	44	and	and	CCONJ
cbi-36	82	45	yield	yield	VERB
cbi-36	82	46	valid	valid	ADJ
cbi-36	82	47	results	result	NOUN
cbi-36	82	48	.	.	PUNCT
cbi-36	83	1	while	while	SCONJ
cbi-36	83	2	no	no	DET
cbi-36	83	3	conclusive	conclusive	ADJ
cbi-36	83	4	reason	reason	NOUN
cbi-36	83	5	for	for	ADP
cbi-36	83	6	this	this	PRON
cbi-36	83	7	has	have	AUX
cbi-36	83	8	been	be	AUX
cbi-36	83	9	established	establish	VERB
cbi-36	83	10	,	,	PUNCT
cbi-36	83	11	vandegrift	vandegrift	NOUN
cbi-36	83	12	(	(	PUNCT
cbi-36	83	13	2014	2014	NUM
cbi-36	83	14	)	)	PUNCT
cbi-36	83	15	offers	offer	VERB
cbi-36	83	16	a	a	DET
cbi-36	83	17	numerical	numerical	ADJ
cbi-36	83	18	evaluation	evaluation	NOUN
cbi-36	83	19	of	of	ADP
cbi-36	83	20	a	a	DET
cbi-36	83	21	series	series	NOUN
cbi-36	83	22	that	that	PRON
cbi-36	83	23	is	be	AUX
cbi-36	83	24	very	very	ADV
cbi-36	83	25	similar	similar	ADJ
cbi-36	83	26	to	to	ADP
cbi-36	83	27	the	the	DET
cbi-36	83	28	series	series	NOUN
cbi-36	83	29	1	1	NUM
cbi-36	83	30	+	+	PROPN
cbi-36	83	31	2	2	NUM
cbi-36	83	32	+	+	NOUN
cbi-36	83	33	3	3	NUM
cbi-36	83	34	.	.	PUNCT
cbi-36	83	35	.	.	PUNCT
cbi-36	84	1	.	.	PUNCT
cbi-36	85	1	,	,	PUNCT
cbi-36	85	2	but	but	CCONJ
cbi-36	85	3	is	be	AUX
cbi-36	85	4	offset	offset	VERB
cbi-36	85	5	by	by	ADP
cbi-36	85	6	a	a	DET
cbi-36	85	7	tiny	tiny	ADJ
cbi-36	85	8	complex	complex	ADJ
cbi-36	85	9	component	component	NOUN
cbi-36	85	10	.	.	PUNCT
cbi-36	86	1	vandegrift	vandegrift	NOUN
cbi-36	86	2	has	have	AUX
cbi-36	86	3	suggested	suggest	VERB
cbi-36	86	4	the	the	DET
cbi-36	86	5	possibility	possibility	NOUN
cbi-36	86	6	that	that	SCONJ
cbi-36	86	7	lim	lim	PROPN
cbi-36	86	8	ϵ→0	ϵ→0	X
cbi-36	86	9	∞	∞	PROPN
cbi-36	86	10	!	!	PUNCT
cbi-36	86	11	n=1	n=1	PROPN
cbi-36	86	12	ne−ϵn	ne−ϵn	NUM
cbi-36	86	13	cos(ϵn	cos(ϵn	NOUN
cbi-36	86	14	)	)	PUNCT
cbi-36	86	15	=	=	SYM
cbi-36	86	16	−	−	PROPN
cbi-36	86	17	1	1	NUM
cbi-36	86	18	12	12	NUM
cbi-36	86	19	.	.	PUNCT
cbi-36	87	1	(	(	PUNCT
cbi-36	87	2	9	9	X
cbi-36	87	3	)	)	PUNCT
cbi-36	87	4	this	this	DET
cbi-36	87	5	sum	sum	NOUN
cbi-36	87	6	would	would	AUX
cbi-36	87	7	be	be	AUX
cbi-36	87	8	nearly	nearly	ADV
cbi-36	87	9	identical	identical	ADJ
cbi-36	87	10	to	to	ADP
cbi-36	87	11	1	1	NUM
cbi-36	87	12	+	+	CCONJ
cbi-36	87	13	2	2	NUM
cbi-36	87	14	+	+	SYM
cbi-36	87	15	3	3	NUM
cbi-36	87	16	.	.	PUNCT
cbi-36	87	17	.	.	PUNCT
cbi-36	88	1	.	.	PUNCT
cbi-36	89	1	in	in	ADP
cbi-36	89	2	its	its	PRON
cbi-36	89	3	beginning	beginning	NOUN
cbi-36	89	4	,	,	PUNCT
cbi-36	89	5	but	but	CCONJ
cbi-36	89	6	begin	begin	VERB
cbi-36	89	7	to	to	PART
cbi-36	89	8	diverge	diverge	VERB
cbi-36	89	9	for	for	ADP
cbi-36	89	10	higher	high	ADJ
cbi-36	89	11	values	value	NOUN
cbi-36	89	12	of	of	ADP
cbi-36	89	13	n.	n.	NOUN
cbi-36	89	14	we	we	PRON
cbi-36	89	15	investigated	investigate	VERB
cbi-36	89	16	this	this	DET
cbi-36	89	17	possibility	possibility	NOUN
cbi-36	89	18	and	and	CCONJ
cbi-36	89	19	found	find	VERB
cbi-36	89	20	the	the	DET
cbi-36	89	21	following	follow	VERB
cbi-36	89	22	results	result	NOUN
cbi-36	89	23	:	:	PUNCT
cbi-36	89	24	1	1	X
cbi-36	89	25	.	.	X
cbi-36	89	26	for	for	ADP
cbi-36	89	27	an	an	DET
cbi-36	89	28	infinitesimal	infinitesimal	ADJ
cbi-36	89	29	ϵ	ϵ	NOUN
cbi-36	89	30	(	(	PUNCT
cbi-36	89	31	where	where	SCONJ
cbi-36	89	32	ϵ	ϵ	X
cbi-36	89	33	=	=	SYM
cbi-36	89	34	ω−1	ω−1	PROPN
cbi-36	89	35	)	)	PUNCT
cbi-36	89	36	,	,	PUNCT
cbi-36	89	37	the	the	DET
cbi-36	89	38	series	series	NOUN
cbi-36	89	39	actually	actually	ADV
cbi-36	89	40	diverges	diverge	VERB
cbi-36	89	41	.	.	PUNCT
cbi-36	90	1	2	2	X
cbi-36	90	2	.	.	X
cbi-36	90	3	interestingly	interestingly	ADV
cbi-36	90	4	,	,	PUNCT
cbi-36	90	5	in	in	ADP
cbi-36	90	6	the	the	DET
cbi-36	90	7	evaluation	evaluation	NOUN
cbi-36	90	8	of	of	ADP
cbi-36	90	9	the	the	DET
cbi-36	90	10	series	series	NOUN
cbi-36	90	11	expansion	expansion	NOUN
cbi-36	90	12	of	of	ADP
cbi-36	90	13	(	(	PUNCT
cbi-36	90	14	9	9	NUM
cbi-36	90	15	)	)	PUNCT
cbi-36	90	16	,	,	PUNCT
cbi-36	90	17	even	even	ADV
cbi-36	90	18	though	though	SCONJ
cbi-36	90	19	it	it	PRON
cbi-36	90	20	diverges	diverge	VERB
cbi-36	90	21	to	to	ADP
cbi-36	90	22	infinity	infinity	NOUN
cbi-36	90	23	,	,	PUNCT
cbi-36	90	24	there	there	PRON
cbi-36	90	25	is	be	VERB
cbi-36	90	26	a	a	DET
cbi-36	90	27	component	component	NOUN
cbi-36	90	28	of	of	ADP
cbi-36	90	29	it	it	PRON
cbi-36	90	30	that	that	PRON
cbi-36	90	31	is	be	AUX
cbi-36	90	32	−	−	PROPN
cbi-36	90	33	1	1	NUM
cbi-36	90	34	12	12	NUM
cbi-36	90	35	.2	.2	NUM
cbi-36	90	36	3	3	NUM
cbi-36	90	37	.	.	PUNCT
cbi-36	91	1	for	for	ADP
cbi-36	91	2	a	a	DET
cbi-36	91	3	finite	finite	NOUN
cbi-36	91	4	ϵ	ϵ	X
cbi-36	91	5	,	,	PUNCT
cbi-36	91	6	a	a	DET
cbi-36	91	7	wide	wide	ADJ
cbi-36	91	8	range	range	NOUN
cbi-36	91	9	of	of	ADP
cbi-36	91	10	values	value	NOUN
cbi-36	91	11	will	will	AUX
cbi-36	91	12	produce	produce	VERB
cbi-36	91	13	results	result	NOUN
cbi-36	91	14	near	near	ADP
cbi-36	91	15	−	−	PROPN
cbi-36	91	16	1	1	NUM
cbi-36	91	17	12	12	NUM
cbi-36	91	18	,	,	PUNCT
cbi-36	91	19	though	though	SCONJ
cbi-36	91	20	we	we	PRON
cbi-36	91	21	did	do	AUX
cbi-36	91	22	not	not	PART
cbi-36	91	23	yet	yet	ADV
cbi-36	91	24	find	find	VERB
cbi-36	91	25	a	a	DET
cbi-36	91	26	value	value	NOUN
cbi-36	91	27	that	that	PRON
cbi-36	91	28	produces	produce	VERB
cbi-36	91	29	this	this	DET
cbi-36	91	30	value	value	NOUN
cbi-36	91	31	exactly	exactly	ADV
cbi-36	91	32	.	.	PUNCT
cbi-36	92	1	ϵ	ϵ	X
cbi-36	92	2	ranging	range	VERB
cbi-36	92	3	from	from	ADP
cbi-36	92	4	1	1	NUM
cbi-36	92	5	2	2	NUM
cbi-36	92	6	to	to	ADP
cbi-36	92	7	1	1	NUM
cbi-36	92	8	3750	3750	NUM
cbi-36	92	9	seemed	seem	VERB
cbi-36	92	10	to	to	PART
cbi-36	92	11	be	be	AUX
cbi-36	92	12	fairly	fairly	ADV
cbi-36	92	13	close	close	ADJ
cbi-36	92	14	,	,	PUNCT
cbi-36	92	15	while	while	SCONJ
cbi-36	92	16	values	value	NOUN
cbi-36	92	17	outside	outside	ADP
cbi-36	92	18	this	this	DET
cbi-36	92	19	range	range	NOUN
cbi-36	92	20	started	start	VERB
cbi-36	92	21	to	to	PART
cbi-36	92	22	stray	stray	VERB
cbi-36	92	23	.	.	PUNCT
cbi-36	93	1	bartlett	bartlett	PROPN
cbi-36	93	2	,	,	PUNCT
cbi-36	93	3	j	j	PROPN
cbi-36	93	4	,	,	PUNCT
cbi-36	93	5	l	l	PROPN
cbi-36	93	6	gaastra	gaastra	PROPN
cbi-36	93	7	,	,	PUNCT
cbi-36	93	8	and	and	CCONJ
cbi-36	93	9	d	d	X
cbi-36	93	10	nemati	nemati	NOUN
cbi-36	93	11	(	(	PUNCT
cbi-36	93	12	2018	2018	NUM
cbi-36	93	13	)	)	PUNCT
cbi-36	93	14	.	.	PUNCT
cbi-36	94	1	“	"	PUNCT
cbi-36	94	2	hyperreal	hyperreal	ADJ
cbi-36	94	3	numbers	number	NOUN
cbi-36	94	4	for	for	ADP
cbi-36	94	5	infinite	infinite	ADJ
cbi-36	94	6	divergent	divergent	ADJ
cbi-36	94	7	series	series	NOUN
cbi-36	94	8	”	"	PUNCT
cbi-36	94	9	.	.	PUNCT
cbi-36	95	1	in	in	ADP
cbi-36	95	2	:	:	PUNCT
cbi-36	95	3	arxiv	arxiv	PROPN
cbi-36	95	4	1804.11342	1804.11342	PROPN
cbi-36	95	5	.	.	PUNCT
cbi-36	96	1	haran	haran	PROPN
cbi-36	96	2	,	,	PUNCT
cbi-36	96	3	b	b	PROPN
cbi-36	96	4	(	(	PUNCT
cbi-36	96	5	2015	2015	NUM
cbi-36	96	6	)	)	PUNCT
cbi-36	96	7	.	.	PUNCT
cbi-36	97	1	“	"	PUNCT
cbi-36	97	2	this	this	DET
cbi-36	97	3	blog	blog	NOUN
cbi-36	97	4	probably	probably	ADV
cbi-36	97	5	wo	will	AUX
cbi-36	97	6	n’t	not	PART
cbi-36	97	7	help	help	VERB
cbi-36	97	8	”	"	PUNCT
cbi-36	97	9	.	.	PUNCT
cbi-36	98	1	in	in	ADP
cbi-36	98	2	:	:	PUNCT
cbi-36	98	3	brady	brady	PROPN
cbi-36	98	4	haran	haran	PROPN
cbi-36	98	5	blog	blog	PROPN
cbi-36	98	6	.	.	PUNCT
cbi-36	99	1	url	url	PROPN
cbi-36	99	2	:	:	PUNCT
cbi-36	99	3	http	http	NOUN
cbi-36	99	4	:	:	PUNCT
cbi-36	99	5	/	/	SYM
cbi-36	99	6	/	/	SYM
cbi-36	99	7	www	www	NOUN
cbi-36	99	8	.	.	PUNCT
cbi-36	100	1	bradyharanblog.com/blog/2015/1/11/this-blogprobably-wont-help	bradyharanblog.com/blog/2015/1/11/this-blogprobably-wont-help	NOUN
cbi-36	100	2	.	.	PUNCT
cbi-36	101	1	haran	haran	PROPN
cbi-36	101	2	,	,	PUNCT
cbi-36	101	3	b	b	PROPN
cbi-36	101	4	and	and	CCONJ
cbi-36	101	5	t	t	PROPN
cbi-36	101	6	padilla	padilla	PROPN
cbi-36	101	7	(	(	PUNCT
cbi-36	101	8	2014	2014	NUM
cbi-36	101	9	)	)	PUNCT
cbi-36	101	10	.	.	PUNCT
cbi-36	102	1	“	"	PUNCT
cbi-36	102	2	astounding	astounding	ADJ
cbi-36	102	3	:	:	PUNCT
cbi-36	102	4	1	1	NUM
cbi-36	102	5	+	+	SYM
cbi-36	102	6	2	2	NUM
cbi-36	102	7	+	+	NUM
cbi-36	102	8	3	3	NUM
cbi-36	102	9	+	+	SYM
cbi-36	102	10	4	4	NUM
cbi-36	102	11	+	+	SYM
cbi-36	102	12	5	5	NUM
cbi-36	102	13	+	+	CCONJ
cbi-36	102	14	.	.	PUNCT
cbi-36	102	15	.	.	PUNCT
cbi-36	102	16	.	.	PUNCT
cbi-36	103	1	=	=	PUNCT
cbi-36	103	2	-1/12	-1/12	X
cbi-36	103	3	”	"	PUNCT
cbi-36	103	4	.	.	PUNCT
cbi-36	104	1	in	in	ADP
cbi-36	104	2	:	:	PUNCT
cbi-36	104	3	youtube	youtube	NOUN
cbi-36	104	4	numberphile	numberphile	ADJ
cbi-36	104	5	channel	channel	PROPN
cbi-36	104	6	.	.	PUNCT
cbi-36	105	1	url	url	PROPN
cbi-36	105	2	:	:	PUNCT
cbi-36	105	3	https://www.youtube.com/watch?v=wi6xtvzxww	https://www.youtube.com/watch?v=wi6xtvzxww	PROPN
cbi-36	105	4	.	.	PUNCT
cbi-36	106	1	lavrik	lavrik	NOUN
cbi-36	106	2	,	,	PUNCT
cbi-36	106	3	a	a	DET
cbi-36	106	4	f	f	X
cbi-36	106	5	(	(	PUNCT
cbi-36	106	6	2011	2011	NUM
cbi-36	106	7	)	)	PUNCT
cbi-36	106	8	.	.	PUNCT
cbi-36	107	1	“	"	PUNCT
cbi-36	107	2	zeta	zeta	NOUN
cbi-36	107	3	function	function	NOUN
cbi-36	107	4	”	"	PUNCT
cbi-36	107	5	.	.	PUNCT
cbi-36	108	1	in	in	ADP
cbi-36	108	2	:	:	PUNCT
cbi-36	108	3	encyclopaedia	encyclopaedia	NOUN
cbi-36	108	4	of	of	ADP
cbi-36	108	5	mathematics	mathematics	PROPN
cbi-36	108	6	.	.	PUNCT
cbi-36	108	7	springer	springer	PROPN
cbi-36	108	8	.	.	PUNCT
cbi-36	109	1	url	url	PROPN
cbi-36	109	2	:	:	PUNCT
cbi-36	109	3	https	https	NOUN
cbi-36	109	4	:	:	PUNCT
cbi-36	109	5	/	/	SYM
cbi-36	109	6	/	/	SYM
cbi-36	109	7	www	www	NOUN
cbi-36	109	8	.	.	PUNCT
cbi-36	110	1	encyclopediaofmath	encyclopediaofmath	VERB
cbi-36	110	2	.	.	PUNCT
cbi-36	111	1	org	org	ADJ
cbi-36	111	2	/	/	SYM
cbi-36	111	3	index	index	NOUN
cbi-36	111	4	.	.	PUNCT
cbi-36	112	1	php	php	PROPN
cbi-36	112	2	/	/	SYM
cbi-36	112	3	zeta	zeta	PROPN
cbi-36	112	4	function	function	NOUN
cbi-36	112	5	.	.	PUNCT
cbi-36	113	1	vandegrift	vandegrift	NOUN
cbi-36	113	2	,	,	PUNCT
cbi-36	113	3	g	g	PROPN
cbi-36	113	4	(	(	PUNCT
cbi-36	113	5	2014	2014	NUM
cbi-36	113	6	)	)	PUNCT
cbi-36	113	7	.	.	PUNCT
cbi-36	114	1	“	"	PUNCT
cbi-36	114	2	matlab	matlab	PROPN
cbi-36	114	3	/	/	SYM
cbi-36	114	4	divergent	divergent	ADJ
cbi-36	114	5	series	series	NOUN
cbi-36	114	6	investigations	investigation	NOUN
cbi-36	114	7	”	"	PUNCT
cbi-36	114	8	.	.	PUNCT
cbi-36	115	1	in	in	ADP
cbi-36	115	2	:	:	PUNCT
cbi-36	115	3	wikiversity	wikiversity	PROPN
cbi-36	115	4	.	.	PUNCT
cbi-36	115	5	url	url	PROPN
cbi-36	115	6	:	:	PUNCT
cbi-36	115	7	https	https	NOUN
cbi-36	115	8	:	:	PUNCT
cbi-36	115	9	/	/	SYM
cbi-36	115	10	/	/	SYM
cbi-36	115	11	en	en	X
cbi-36	115	12	.	.	PUNCT
cbi-36	115	13	wikiversity.org/wiki/matlab/divergent_series	wikiversity.org/wiki/matlab/divergent_serie	NOUN
cbi-36	115	14	_	_	NOUN
cbi-36	115	15	investigations	investigation	NOUN
cbi-36	115	16	.	.	PUNCT
cbi-36	116	1	2using	2use	VERB
cbi-36	116	2	the	the	DET
cbi-36	116	3	bgn	bgn	NOUN
cbi-36	116	4	technique	technique	NOUN
cbi-36	116	5	,	,	PUNCT
cbi-36	116	6	the	the	DET
cbi-36	116	7	expansion	expansion	NOUN
cbi-36	116	8	of	of	ADP
cbi-36	116	9	the	the	DET
cbi-36	116	10	sum	sum	NOUN
cbi-36	116	11	was	be	AUX
cbi-36	116	12	found	find	VERB
cbi-36	116	13	to	to	PART
cbi-36	116	14	be	be	AUX
cbi-36	116	15	(	(	PUNCT
cbi-36	116	16	sin(1	sin(1	NOUN
cbi-36	116	17	)	)	PUNCT
cbi-36	116	18	e	e	NOUN
cbi-36	116	19	−	−	PROPN
cbi-36	116	20	cos(1	cos(1	NOUN
cbi-36	116	21	)	)	PUNCT
cbi-36	116	22	2e	2e	PROPN
cbi-36	116	23	)	)	PUNCT
cbi-36	117	1	ω2	ω2	PROPN
cbi-36	117	2	+	+	CCONJ
cbi-36	117	3	(	(	PUNCT
cbi-36	117	4	cos(1	cos(1	PROPN
cbi-36	117	5	)	)	PUNCT
cbi-36	117	6	2e	2e	PROPN
cbi-36	117	7	)	)	PUNCT
cbi-36	117	8	ω	ω	NUM
cbi-36	117	9	−	−	PROPN
cbi-36	117	10	sin(1	sin(1	NOUN
cbi-36	117	11	)	)	PUNCT
cbi-36	117	12	12e	12e	NOUN
cbi-36	117	13	−	−	PROPN
cbi-36	117	14	1	1	NUM
cbi-36	117	15	12	12	NUM
cbi-36	117	16	where	where	SCONJ
cbi-36	117	17	ω	ω	PROPN
cbi-36	117	18	is	be	AUX
cbi-36	117	19	the	the	DET
cbi-36	117	20	hyperreal	hyperreal	NOUN
cbi-36	117	21	infinite	infinite	ADJ
cbi-36	117	22	unit	unit	NOUN
cbi-36	117	23	.	.	PUNCT
cbi-36	118	1	notice	notice	VERB
cbi-36	118	2	the	the	DET
cbi-36	118	3	last	last	ADJ
cbi-36	118	4	part	part	NOUN
cbi-36	118	5	of	of	ADP
cbi-36	118	6	this	this	DET
cbi-36	118	7	term	term	NOUN
cbi-36	118	8	is	be	AUX
cbi-36	118	9	−	−	PROPN
cbi-36	118	10	1	1	NUM
cbi-36	118	11	12	12	NUM
cbi-36	118	12	.	.	PUNCT
cbi-36	119	1	it	it	PRON
cbi-36	119	2	is	be	AUX
cbi-36	119	3	unclear	unclear	ADJ
cbi-36	119	4	the	the	DET
cbi-36	119	5	connection	connection	NOUN
cbi-36	119	6	between	between	ADP
cbi-36	119	7	this	this	DET
cbi-36	119	8	value	value	NOUN
cbi-36	119	9	and	and	CCONJ
cbi-36	119	10	the	the	DET
cbi-36	119	11	zeta	zeta	NOUN
cbi-36	119	12	function	function	NOUN
cbi-36	119	13	.	.	PUNCT
cbi-36	120	1	nonetheless	nonetheless	ADV
cbi-36	120	2	,	,	PUNCT
cbi-36	120	3	it	it	PRON
cbi-36	120	4	is	be	AUX
cbi-36	120	5	interesting	interesting	ADJ
cbi-36	120	6	that	that	SCONJ
cbi-36	120	7	−	−	PROPN
cbi-36	120	8	1	1	NUM
cbi-36	120	9	12	12	NUM
cbi-36	120	10	appears	appear	VERB
cbi-36	120	11	there	there	ADV
cbi-36	120	12	.	.	PUNCT