id	sid	tid	token	lemma	pos
ejpam-143	1	1	convolution	convolution	NOUN
ejpam-143	1	2	and	and	CCONJ
ejpam-143	1	3	rayleigh	rayleigh	PROPN
ejpam-143	1	4	’s	’s	PROPN
ejpam-143	1	5	theorem	theorem	NOUN
ejpam-143	1	6	for	for	ADP
ejpam-143	1	7	generalized	generalized	ADJ
ejpam-143	1	8	fractionla	fractionla	NOUN
ejpam-143	1	9	hartley	hartley	PROPN
ejpam-143	1	10	transform	transform	VERB
ejpam-143	1	11	european	european	ADJ
ejpam-143	1	12	journal	journal	PROPN
ejpam-143	1	13	of	of	ADP
ejpam-143	1	14	pure	pure	ADJ
ejpam-143	1	15	and	and	CCONJ
ejpam-143	1	16	applied	apply	VERB
ejpam-143	1	17	mathematics	mathematic	NOUN
ejpam-143	1	18	vol	vol	NOUN
ejpam-143	1	19	2	2	NUM
ejpam-143	1	20	,	,	PUNCT
ejpam-143	1	21	no	no	INTJ
ejpam-143	1	22	.	.	NOUN
ejpam-143	1	23	1	1	NUM
ejpam-143	1	24	,	,	PUNCT
ejpam-143	1	25	2009	2009	NUM
ejpam-143	1	26	(	(	PUNCT
ejpam-143	1	27	162	162	NUM
ejpam-143	1	28	-	-	SYM
ejpam-143	1	29	170	170	NUM
ejpam-143	1	30	)	)	PUNCT
ejpam-143	1	31	issn	issn	PROPN
ejpam-143	1	32	1307	1307	NUM
ejpam-143	1	33	-	-	SYM
ejpam-143	1	34	5543	5543	NUM
ejpam-143	1	35	–	–	PUNCT
ejpam-143	1	36	www.ejpam.com	www.ejpam.com	X
ejpam-143	1	37	*	*	PUNCT
ejpam-143	1	38	corresponding	correspond	VERB
ejpam-143	1	39	author	author	NOUN
ejpam-143	1	40	.	.	PUNCT
ejpam-143	2	1	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-143	3	1	162	162	NUM
ejpam-143	4	1	©	©	PROPN
ejpam-143	4	2	2009	2009	NUM
ejpam-143	4	3	ejpam	ejpam	NOUN
ejpam-143	4	4	all	all	DET
ejpam-143	4	5	rights	right	NOUN
ejpam-143	4	6	reserved	reserve	VERB
ejpam-143	4	7	convolution	convolution	NOUN
ejpam-143	4	8	and	and	CCONJ
ejpam-143	4	9	rayleigh	rayleigh	PROPN
ejpam-143	4	10	’s	’s	PROPN
ejpam-143	4	11	theorem	theorem	NOUN
ejpam-143	4	12	for	for	ADP
ejpam-143	4	13	generalized	generalized	ADJ
ejpam-143	4	14	fractional	fractional	ADJ
ejpam-143	4	15	hartley	hartley	PROPN
ejpam-143	4	16	transform	transform	NOUN
ejpam-143	4	17	p.	p.	PROPN
ejpam-143	4	18	k.	k.	PROPN
ejpam-143	4	19	sontakke*1	sontakke*1	PROPN
ejpam-143	4	20	and	and	CCONJ
ejpam-143	4	21	a.	a.	PROPN
ejpam-143	4	22	s.	s.	PROPN
ejpam-143	4	23	gudadhe2	gudadhe2	PROPN
ejpam-143	5	1	1h.v.p.m	1h.v.p.m	PROPN
ejpam-143	5	2	.	.	PROPN
ejpam-143	5	3	’s	’s	PROPN
ejpam-143	5	4	college	college	PROPN
ejpam-143	5	5	of	of	ADP
ejpam-143	5	6	engineering	engineering	NOUN
ejpam-143	5	7	and	and	CCONJ
ejpam-143	5	8	technology	technology	NOUN
ejpam-143	5	9	,	,	PUNCT
ejpam-143	5	10	amravati	amravati	PROPN
ejpam-143	5	11	,	,	PUNCT
ejpam-143	5	12	india	india	PROPN
ejpam-143	5	13	.	.	PUNCT
ejpam-143	6	1	2govt	2govt	NUM
ejpam-143	6	2	.	.	PUNCT
ejpam-143	7	1	vidarbha	vidarbha	PROPN
ejpam-143	7	2	institute	institute	PROPN
ejpam-143	7	3	of	of	ADP
ejpam-143	7	4	science	science	NOUN
ejpam-143	7	5	and	and	CCONJ
ejpam-143	7	6	humanities	humanity	NOUN
ejpam-143	7	7	,	,	PUNCT
ejpam-143	7	8	amravati	amravati	PROPN
ejpam-143	7	9	,	,	PUNCT
ejpam-143	7	10	india	india	PROPN
ejpam-143	7	11	.	.	PUNCT
ejpam-143	8	1	abstract	abstract	PROPN
ejpam-143	8	2	.	.	PUNCT
ejpam-143	9	1	the	the	DET
ejpam-143	9	2	fractional	fractional	PROPN
ejpam-143	9	3	hartley	hartley	PROPN
ejpam-143	9	4	transform	transform	NOUN
ejpam-143	9	5	,	,	PUNCT
ejpam-143	9	6	which	which	PRON
ejpam-143	9	7	is	be	AUX
ejpam-143	9	8	a	a	DET
ejpam-143	9	9	generalization	generalization	NOUN
ejpam-143	9	10	of	of	ADP
ejpam-143	9	11	the	the	DET
ejpam-143	9	12	hartley	hartley	PROPN
ejpam-143	9	13	transform	transform	NOUN
ejpam-143	9	14	,	,	PUNCT
ejpam-143	9	15	has	have	VERB
ejpam-143	9	16	many	many	ADJ
ejpam-143	9	17	applications	application	NOUN
ejpam-143	9	18	in	in	ADP
ejpam-143	9	19	several	several	ADJ
ejpam-143	9	20	areas	area	NOUN
ejpam-143	9	21	,	,	PUNCT
ejpam-143	9	22	including	include	VERB
ejpam-143	9	23	signal	signal	NOUN
ejpam-143	9	24	processing	processing	NOUN
ejpam-143	9	25	and	and	CCONJ
ejpam-143	9	26	optics	optic	NOUN
ejpam-143	9	27	.	.	PUNCT
ejpam-143	10	1	in	in	ADP
ejpam-143	10	2	this	this	DET
ejpam-143	10	3	paper	paper	NOUN
ejpam-143	10	4	we	we	PRON
ejpam-143	10	5	have	have	AUX
ejpam-143	10	6	introduced	introduce	VERB
ejpam-143	10	7	convolution	convolution	NOUN
ejpam-143	10	8	theorem	theorem	VERB
ejpam-143	10	9	,	,	PUNCT
ejpam-143	10	10	modulation	modulation	NOUN
ejpam-143	10	11	theorem	theorem	NOUN
ejpam-143	10	12	and	and	CCONJ
ejpam-143	10	13	parseval	parseval	NOUN
ejpam-143	10	14	’s	’s	PART
ejpam-143	10	15	identity	identity	NOUN
ejpam-143	10	16	(	(	PUNCT
ejpam-143	10	17	rayleigh	rayleigh	PROPN
ejpam-143	10	18	’s	’s	PART
ejpam-143	10	19	theorem	theorem	PROPN
ejpam-143	10	20	)	)	PUNCT
ejpam-143	10	21	for	for	ADP
ejpam-143	10	22	the	the	DET
ejpam-143	10	23	generalized	generalize	VERB
ejpam-143	10	24	fractional	fractional	ADJ
ejpam-143	10	25	hartley	hartley	PROPN
ejpam-143	10	26	transform	transform	NOUN
ejpam-143	10	27	.	.	PUNCT
ejpam-143	11	1	ams	ams	PROPN
ejpam-143	11	2	subject	subject	PROPN
ejpam-143	11	3	code	code	PROPN
ejpam-143	11	4	:	:	PUNCT
ejpam-143	11	5	46f12	46f12	NUM
ejpam-143	11	6	and	and	CCONJ
ejpam-143	11	7	44	44	NUM
ejpam-143	11	8	key	key	ADJ
ejpam-143	11	9	words	word	NOUN
ejpam-143	11	10	:	:	PUNCT
ejpam-143	11	11	convolution	convolution	NOUN
ejpam-143	11	12	theorem	theorem	NOUN
ejpam-143	11	13	,	,	PUNCT
ejpam-143	11	14	modulation	modulation	NOUN
ejpam-143	11	15	theorem	theorem	NOUN
ejpam-143	11	16	,	,	PUNCT
ejpam-143	11	17	parseval	parseval	NOUN
ejpam-143	11	18	’s	’s	PART
ejpam-143	11	19	identity	identity	NOUN
ejpam-143	11	20	,	,	PUNCT
ejpam-143	11	21	hartley	hartley	NOUN
ejpam-143	11	22	transform	transform	NOUN
ejpam-143	11	23	.	.	PUNCT
ejpam-143	12	1	1	1	X
ejpam-143	12	2	.	.	X
ejpam-143	12	3	introduction	introduction	NOUN
ejpam-143	12	4	:	:	PUNCT
ejpam-143	12	5	the	the	DET
ejpam-143	12	6	fractional	fractional	ADJ
ejpam-143	12	7	fourier	fourier	NOUN
ejpam-143	12	8	transform	transform	NOUN
ejpam-143	12	9	has	have	AUX
ejpam-143	12	10	become	become	VERB
ejpam-143	12	11	the	the	DET
ejpam-143	12	12	focus	focus	NOUN
ejpam-143	12	13	of	of	ADP
ejpam-143	12	14	many	many	ADJ
ejpam-143	12	15	research	research	NOUN
ejpam-143	12	16	papers	paper	NOUN
ejpam-143	12	17	,	,	PUNCT
ejpam-143	12	18	because	because	SCONJ
ejpam-143	12	19	of	of	ADP
ejpam-143	12	20	its	its	PRON
ejpam-143	12	21	recent	recent	ADJ
ejpam-143	12	22	applications	application	NOUN
ejpam-143	12	23	in	in	ADP
ejpam-143	12	24	many	many	ADJ
ejpam-143	12	25	fields	field	NOUN
ejpam-143	12	26	,	,	PUNCT
ejpam-143	12	27	including	include	VERB
ejpam-143	12	28	optics	optic	NOUN
ejpam-143	12	29	and	and	CCONJ
ejpam-143	12	30	signal	signal	ADJ
ejpam-143	12	31	processing	processing	NOUN
ejpam-143	12	32	.	.	PUNCT
ejpam-143	13	1	hence	hence	ADV
ejpam-143	13	2	fractional	fractional	PROPN
ejpam-143	13	3	hartley	hartley	PROPN
ejpam-143	13	4	transform	transform	NOUN
ejpam-143	13	5	is	be	AUX
ejpam-143	13	6	also	also	ADV
ejpam-143	13	7	useful	useful	ADJ
ejpam-143	13	8	tool	tool	NOUN
ejpam-143	13	9	in	in	ADP
ejpam-143	13	10	many	many	ADJ
ejpam-143	13	11	fields	field	NOUN
ejpam-143	13	12	,	,	PUNCT
ejpam-143	13	13	due	due	ADP
ejpam-143	13	14	to	to	ADP
ejpam-143	13	15	it	it	PRON
ejpam-143	13	16	’s	’	VERB
ejpam-143	13	17	close	close	ADJ
ejpam-143	13	18	relation	relation	NOUN
ejpam-143	13	19	with	with	ADP
ejpam-143	13	20	fractional	fractional	ADJ
ejpam-143	13	21	fourier	fourier	NOUN
ejpam-143	13	22	transforms	transform	VERB
ejpam-143	13	23	.	.	PUNCT
ejpam-143	14	1	many	many	ADJ
ejpam-143	14	2	properties	property	NOUN
ejpam-143	14	3	of	of	ADP
ejpam-143	14	4	the	the	DET
ejpam-143	14	5	fractional	fractional	ADJ
ejpam-143	14	6	fourier	fourier	NOUN
ejpam-143	14	7	transform	transform	NOUN
ejpam-143	14	8	are	be	AUX
ejpam-143	14	9	well	well	ADV
ejpam-143	14	10	known	know	VERB
ejpam-143	14	11	,	,	PUNCT
ejpam-143	14	12	including	include	VERB
ejpam-143	14	13	its	its	PRON
ejpam-143	14	14	product	product	NOUN
ejpam-143	14	15	and	and	CCONJ
ejpam-143	14	16	convolution	convolution	NOUN
ejpam-143	14	17	theorem	theorem	VERB
ejpam-143	14	18	,	,	PUNCT
ejpam-143	14	19	which	which	PRON
ejpam-143	14	20	have	have	AUX
ejpam-143	14	21	been	be	AUX
ejpam-143	14	22	derived	derive	VERB
ejpam-143	14	23	by	by	ADP
ejpam-143	14	24	almeida	almeida	PROPN
ejpam-143	15	1	[	[	X
ejpam-143	15	2	5	5	NUM
ejpam-143	15	3	]	]	PUNCT
ejpam-143	15	4	and	and	CCONJ
ejpam-143	15	5	zayed	zaye	VERB
ejpam-143	16	1	[	[	X
ejpam-143	16	2	2	2	NUM
ejpam-143	16	3	]	]	PUNCT
ejpam-143	16	4	.	.	PUNCT
ejpam-143	17	1	p.	p.	NOUN
ejpam-143	17	2	sontakke	sontakke	PROPN
ejpam-143	17	3	,	,	PUNCT
ejpam-143	17	4	a.	a.	NOUN
ejpam-143	17	5	gudadhe	gudadhe	PROPN
ejpam-143	17	6	/	/	SYM
ejpam-143	17	7	eur	eur	PROPN
ejpam-143	17	8	.	.	PUNCT
ejpam-143	18	1	j.	j.	PROPN
ejpam-143	18	2	pure	pure	PROPN
ejpam-143	18	3	appl	appl	PROPN
ejpam-143	18	4	.	.	PROPN
ejpam-143	18	5	math	math	PROPN
ejpam-143	18	6	,	,	PUNCT
ejpam-143	18	7	2	2	NUM
ejpam-143	18	8	(	(	PUNCT
ejpam-143	18	9	2009	2009	NUM
ejpam-143	18	10	)	)	PUNCT
ejpam-143	18	11	163	163	NUM
ejpam-143	18	12	using	use	VERB
ejpam-143	18	13	the	the	DET
ejpam-143	18	14	eigen	eigen	PROPN
ejpam-143	18	15	value	value	NOUN
ejpam-143	18	16	function	function	NOUN
ejpam-143	18	17	as	as	SCONJ
ejpam-143	18	18	used	use	VERB
ejpam-143	18	19	in	in	ADP
ejpam-143	18	20	fractional	fractional	ADJ
ejpam-143	18	21	fourier	fourier	NOUN
ejpam-143	18	22	transform	transform	NOUN
ejpam-143	18	23	,	,	PUNCT
ejpam-143	18	24	different	different	ADJ
ejpam-143	18	25	integral	integral	ADJ
ejpam-143	18	26	transform	transform	NOUN
ejpam-143	18	27	in	in	ADP
ejpam-143	18	28	fourier	fourier	ADJ
ejpam-143	18	29	class	class	NOUN
ejpam-143	18	30	,	,	PUNCT
ejpam-143	18	31	including	include	VERB
ejpam-143	18	32	hartley	hartley	NOUN
ejpam-143	18	33	transform	transform	NOUN
ejpam-143	18	34	are	be	AUX
ejpam-143	18	35	generalized	generalize	VERB
ejpam-143	18	36	to	to	ADP
ejpam-143	18	37	fractional	fractional	ADJ
ejpam-143	18	38	transform	transform	NOUN
ejpam-143	18	39	by	by	ADP
ejpam-143	18	40	pei	pei	PROPN
ejpam-143	19	1	[	[	X
ejpam-143	19	2	4	4	NUM
ejpam-143	19	3	]	]	PUNCT
ejpam-143	19	4	.	.	PUNCT
ejpam-143	20	1	he	he	PRON
ejpam-143	20	2	had	have	AUX
ejpam-143	20	3	shown	show	VERB
ejpam-143	20	4	that	that	SCONJ
ejpam-143	20	5	for	for	ADP
ejpam-143	20	6	all	all	DET
ejpam-143	20	7	non	non	PRON
ejpam-143	20	8	negative	negative	ADJ
ejpam-143	20	9	integer	integer	NOUN
ejpam-143	20	10	m	m	PROPN
ejpam-143	20	11	,	,	PUNCT
ejpam-143	20	12	)	)	PUNCT
ejpam-143	20	13	(	(	PUNCT
ejpam-143	20	14	2	2	NUM
ejpam-143	20	15	2	2	NUM
ejpam-143	20	16	the	the	DET
ejpam-143	20	17	m	m	NOUN
ejpam-143	20	18	t−	t−	PROPN
ejpam-143	20	19	is	be	AUX
ejpam-143	20	20	the	the	DET
ejpam-143	20	21	eigen	eigen	PROPN
ejpam-143	20	22	function	function	NOUN
ejpam-143	20	23	of	of	ADP
ejpam-143	20	24	the	the	DET
ejpam-143	20	25	hartley	hartley	PROPN
ejpam-143	20	26	transform	transform	NOUN
ejpam-143	20	27	and	and	CCONJ
ejpam-143	20	28	had	have	AUX
ejpam-143	20	29	given	give	VERB
ejpam-143	20	30	the	the	DET
ejpam-143	20	31	formula	formula	NOUN
ejpam-143	20	32	for	for	ADP
ejpam-143	20	33	fractional	fractional	ADJ
ejpam-143	20	34	hartley	hartley	PROPN
ejpam-143	20	35	transform	transform	NOUN
ejpam-143	20	36	as	as	ADP
ejpam-143	20	37	,	,	PUNCT
ejpam-143	20	38	{	{	PUNCT
ejpam-143	20	39	}	}	PUNCT
ejpam-143	20	40	∫	∫	PROPN
ejpam-143	20	41	∞	∞	NUM
ejpam-143	20	42	∞−	∞−	PROPN
ejpam-143	20	43	=	=	NOUN
ejpam-143	20	44	,	,	PUNCT
ejpam-143	20	45	)	)	PUNCT
ejpam-143	20	46	,	,	PUNCT
ejpam-143	20	47	(	(	PUNCT
ejpam-143	20	48	)	)	PUNCT
ejpam-143	20	49	(	(	PUNCT
ejpam-143	20	50	)	)	PUNCT
ejpam-143	20	51	(	(	PUNCT
ejpam-143	20	52	)	)	PUNCT
ejpam-143	20	53	(	(	PUNCT
ejpam-143	20	54	dtstktfstfh	dtstktfstfh	INTJ
ejpam-143	20	55	α	α	X
ejpam-143	20	56	α	α	NOUN
ejpam-143	20	57	where	where	SCONJ
ejpam-143	20	58	[	[	PUNCT
ejpam-143	20	59	]	]	X
ejpam-143	20	60	)	)	PUNCT
ejpam-143	20	61	.csc()1().(csc)1	.csc()1().(csc)1	NOUN
ejpam-143	20	62	(	(	PUNCT
ejpam-143	20	63	2	2	NUM
ejpam-143	20	64	1	1	NUM
ejpam-143	20	65	.	.	SYM
ejpam-143	20	66	2	2	NUM
ejpam-143	20	67	cot1	cot1	PROPN
ejpam-143	20	68	)	)	PUNCT
ejpam-143	20	69	,	,	PUNCT
ejpam-143	20	70	(	(	PUNCT
ejpam-143	20	71	cot	cot	NOUN
ejpam-143	20	72	2	2	NUM
ejpam-143	20	73	cot	cot	NOUN
ejpam-143	20	74	2	2	NUM
ejpam-143	20	75	22	22	NUM
ejpam-143	20	76	stcasiestcasieeeistk	stcasiestcasieeeistk	PROPN
ejpam-143	20	77	ii	ii	PROPN
ejpam-143	20	78	tisi	tisi	VERB
ejpam-143	20	79	φφ	φφ	ADP
ejpam-143	20	80	π	π	PROPN
ejpam-143	20	81	φ	φ	PROPN
ejpam-143	20	82	φφφφ	φφφφ	PROPN
ejpam-143	20	83	α	α	PROPN
ejpam-143	20	84	−++−	−++−	PROPN
ejpam-143	20	85	−	−	PROPN
ejpam-143	21	1	=	=	PUNCT
ejpam-143	21	2	.	.	PUNCT
ejpam-143	22	1	(	(	PUNCT
ejpam-143	22	2	1.1	1.1	NUM
ejpam-143	22	3	)	)	PUNCT
ejpam-143	22	4	almedia	almedia	NOUN
ejpam-143	23	1	[	[	X
ejpam-143	23	2	5	5	NUM
ejpam-143	23	3	]	]	PUNCT
ejpam-143	23	4	had	have	AUX
ejpam-143	23	5	defined	define	VERB
ejpam-143	23	6	convolution	convolution	NOUN
ejpam-143	23	7	for	for	ADP
ejpam-143	23	8	the	the	DET
ejpam-143	23	9	fractional	fractional	ADJ
ejpam-143	23	10	fourier	fourier	NOUN
ejpam-143	23	11	transform	transform	NOUN
ejpam-143	23	12	as	as	ADP
ejpam-143	23	13	[	[	PUNCT
ejpam-143	23	14	]	]	X
ejpam-143	23	15	dvevugvfeuh	dvevugvfeuh	PROPN
ejpam-143	23	16	viui	viui	NOUN
ejpam-143	23	17	α	α	X
ejpam-143	23	18	α	α	NOUN
ejpam-143	23	19	α	α	NOUN
ejpam-143	23	20	α	α	NOUN
ejpam-143	23	21	αα	αα	ADP
ejpam-143	23	22	tan	tan	PROPN
ejpam-143	23	23	2tan	2tan	PROPN
ejpam-143	23	24	2	2	NUM
ejpam-143	23	25	22	22	NUM
ejpam-143	23	26	.sec)()(sec	.sec)()(sec	PUNCT
ejpam-143	23	27	)	)	PUNCT
ejpam-143	23	28	(	(	PUNCT
ejpam-143	23	29			NOUN
ejpam-143	23	30			VERB
ejpam-143	23	31			PUNCT
ejpam-143	24	1			PROPN
ejpam-143	24	2			PROPN
ejpam-143	24	3			NOUN
ejpam-143	24	4			PROPN
ejpam-143	24	5	∞	∞	NOUN
ejpam-143	24	6	∞−	∞−	PROPN
ejpam-143	24	7	−	−	PROPN
ejpam-143	24	8	∫	∫	PROPN
ejpam-143	24	9	−=	−=	X
ejpam-143	24	10	(	(	PUNCT
ejpam-143	24	11	1.2	1.2	NUM
ejpam-143	24	12	)	)	PUNCT
ejpam-143	24	13	since	since	SCONJ
ejpam-143	24	14	the	the	DET
ejpam-143	24	15	convolution	convolution	NOUN
ejpam-143	24	16	theorem	theorem	VERB
ejpam-143	24	17	for	for	ADP
ejpam-143	24	18	the	the	DET
ejpam-143	24	19	fourier	fourier	NOUN
ejpam-143	24	20	transform	transform	NOUN
ejpam-143	24	21	,	,	PUNCT
ejpam-143	24	22	which	which	PRON
ejpam-143	24	23	states	state	VERB
ejpam-143	24	24	that	that	SCONJ
ejpam-143	24	25	the	the	DET
ejpam-143	24	26	fourier	fourier	NOUN
ejpam-143	24	27	transform	transform	NOUN
ejpam-143	24	28	of	of	ADP
ejpam-143	24	29	the	the	DET
ejpam-143	24	30	convolution	convolution	NOUN
ejpam-143	24	31	of	of	ADP
ejpam-143	24	32	two	two	NUM
ejpam-143	24	33	functions	function	NOUN
ejpam-143	24	34	is	be	AUX
ejpam-143	24	35	the	the	DET
ejpam-143	24	36	product	product	NOUN
ejpam-143	24	37	of	of	ADP
ejpam-143	24	38	their	their	PRON
ejpam-143	24	39	fourier	fourier	NOUN
ejpam-143	24	40	transform	transform	NOUN
ejpam-143	24	41	,	,	PUNCT
ejpam-143	24	42	the	the	DET
ejpam-143	24	43	one	one	NOUN
ejpam-143	24	44	for	for	ADP
ejpam-143	24	45	the	the	DET
ejpam-143	24	46	fractional	fractional	ADJ
ejpam-143	24	47	fourier	fourier	NOUN
ejpam-143	24	48	transform	transform	NOUN
ejpam-143	24	49	does	do	AUX
ejpam-143	24	50	not	not	PART
ejpam-143	24	51	seem	seem	VERB
ejpam-143	24	52	as	as	ADV
ejpam-143	24	53	nice	nice	ADJ
ejpam-143	24	54	or	or	CCONJ
ejpam-143	24	55	as	as	ADV
ejpam-143	24	56	practical	practical	ADJ
ejpam-143	24	57	.	.	PUNCT
ejpam-143	25	1	the	the	DET
ejpam-143	25	2	reason	reason	NOUN
ejpam-143	25	3	is	be	AUX
ejpam-143	25	4	that	that	SCONJ
ejpam-143	25	5	the	the	DET
ejpam-143	25	6	convolution	convolution	NOUN
ejpam-143	25	7	operation	operation	NOUN
ejpam-143	25	8	defined	define	VERB
ejpam-143	25	9	by	by	ADP
ejpam-143	25	10	(	(	PUNCT
ejpam-143	25	11	1.2	1.2	NUM
ejpam-143	25	12	)	)	PUNCT
ejpam-143	25	13	is	be	AUX
ejpam-143	25	14	not	not	PART
ejpam-143	25	15	the	the	DET
ejpam-143	25	16	right	right	ADJ
ejpam-143	25	17	sort	sort	NOUN
ejpam-143	25	18	of	of	ADP
ejpam-143	25	19	convolution	convolution	NOUN
ejpam-143	25	20	for	for	ADP
ejpam-143	25	21	the	the	DET
ejpam-143	25	22	fractional	fractional	ADJ
ejpam-143	25	23	fourier	fourier	NOUN
ejpam-143	25	24	transform	transform	NOUN
ejpam-143	25	25	.	.	PUNCT
ejpam-143	26	1	zayed	zayed	PROPN
ejpam-143	26	2	had	have	AUX
ejpam-143	26	3	defined	define	VERB
ejpam-143	26	4	fractional	fractional	ADJ
ejpam-143	26	5	fourier	fourier	NOUN
ejpam-143	26	6	type	type	NOUN
ejpam-143	26	7	convolution	convolution	NOUN
ejpam-143	26	8	as	as	SCONJ
ejpam-143	26	9	follows	follow	VERB
ejpam-143	26	10	.	.	PUNCT
ejpam-143	27	1	for	for	ADP
ejpam-143	27	2	any	any	DET
ejpam-143	27	3	function	function	NOUN
ejpam-143	27	4	)	)	PUNCT
ejpam-143	27	5	(	(	PUNCT
ejpam-143	27	6	tf	tf	INTJ
ejpam-143	27	7	,	,	PUNCT
ejpam-143	27	8	if	if	SCONJ
ejpam-143	27	9	2	2	NUM
ejpam-143	27	10	cot	cot	NOUN
ejpam-143	27	11	2	2	NUM
ejpam-143	27	12	)	)	PUNCT
ejpam-143	27	13	(	(	PUNCT
ejpam-143	27	14	)	)	PUNCT
ejpam-143	27	15	(	(	PUNCT
ejpam-143	27	16	ti	ti	PROPN
ejpam-143	27	17	etftf	etftf	X
ejpam-143	27	18	φ	φ	PROPN
ejpam-143	27	19	=	=	PUNCT
ejpam-143	27	20	then	then	ADV
ejpam-143	27	21	for	for	ADP
ejpam-143	27	22	any	any	DET
ejpam-143	27	23	two	two	NUM
ejpam-143	27	24	function	function	NOUN
ejpam-143	27	25	f	f	NOUN
ejpam-143	27	26	and	and	CCONJ
ejpam-143	27	27	g	g	ADP
ejpam-143	27	28	the	the	DET
ejpam-143	27	29	convolution	convolution	NOUN
ejpam-143	27	30	operation	operation	NOUN
ejpam-143	27	31	∗	∗	NOUN
ejpam-143	27	32	is	be	AUX
ejpam-143	27	33	defined	define	VERB
ejpam-143	27	34	by	by	ADP
ejpam-143	27	35	zayed	zayed	ADJ
ejpam-143	28	1	[	[	X
ejpam-143	28	2	2	2	NUM
ejpam-143	28	3	]	]	PUNCT
ejpam-143	28	4	as	as	ADP
ejpam-143	28	5	,	,	PUNCT
ejpam-143	28	6	)	)	PUNCT
ejpam-143	28	7	(	(	PUNCT
ejpam-143	28	8	th	th	X
ejpam-143	28	9	=	=	SYM
ejpam-143	28	10	(	(	PUNCT
ejpam-143	28	11	f	f	X
ejpam-143	28	12	⋆	⋆	VERB
ejpam-143	28	13	g	g	PROPN
ejpam-143	28	14	)	)	PUNCT
ejpam-143	28	15	)	)	PUNCT
ejpam-143	28	16	(	(	PUNCT
ejpam-143	28	17	t	t	NOUN
ejpam-143	28	18	=	=	PUNCT
ejpam-143	28	19	)	)	PUNCT
ejpam-143	28	20	,	,	PUNCT
ejpam-143	28	21	)	)	PUNCT
ejpam-143	28	22	(	(	PUNCT
ejpam-143	28	23	(	(	PUNCT
ejpam-143	28	24	.	.	SYM
ejpam-143	28	25	2	2	NUM
ejpam-143	28	26	cot1	cot1	NOUN
ejpam-143	28	27	2	2	NUM
ejpam-143	28	28	cot	cot	NOUN
ejpam-143	28	29	2	2	NUM
ejpam-143	28	30	tgfei	tgfei	NOUN
ejpam-143	28	31	ti	ti	NOUN
ejpam-143	28	32	∗	∗	NOUN
ejpam-143	28	33	−	−	PROPN
ejpam-143	28	34	−	−	PROPN
ejpam-143	29	1	φ	φ	PROPN
ejpam-143	29	2	π	π	PROPN
ejpam-143	29	3	φ	φ	PROPN
ejpam-143	29	4	where	where	SCONJ
ejpam-143	29	5	∗	∗	NOUN
ejpam-143	29	6	is	be	AUX
ejpam-143	29	7	the	the	DET
ejpam-143	29	8	convolution	convolution	NOUN
ejpam-143	29	9	operation	operation	NOUN
ejpam-143	29	10	for	for	ADP
ejpam-143	29	11	the	the	DET
ejpam-143	29	12	fourier	fourier	NOUN
ejpam-143	29	13	transform	transform	NOUN
ejpam-143	29	14	as	as	SCONJ
ejpam-143	29	15	defined	define	VERB
ejpam-143	29	16	by	by	ADP
ejpam-143	29	17	(	(	PUNCT
ejpam-143	29	18	1.2	1.2	NUM
ejpam-143	29	19	)	)	PUNCT
ejpam-143	29	20	.	.	PUNCT
ejpam-143	30	1	in	in	ADP
ejpam-143	30	2	this	this	DET
ejpam-143	30	3	paper	paper	NOUN
ejpam-143	30	4	first	first	ADV
ejpam-143	30	5	we	we	PRON
ejpam-143	30	6	have	have	AUX
ejpam-143	30	7	defined	define	VERB
ejpam-143	30	8	generalized	generalized	ADJ
ejpam-143	30	9	fractional	fractional	ADJ
ejpam-143	30	10	hartley	hartley	PROPN
ejpam-143	30	11	transform	transform	NOUN
ejpam-143	30	12	in	in	ADP
ejpam-143	30	13	section	section	NOUN
ejpam-143	30	14	2	2	NUM
ejpam-143	30	15	.	.	PUNCT
ejpam-143	31	1	we	we	PRON
ejpam-143	31	2	have	have	AUX
ejpam-143	31	3	proved	prove	VERB
ejpam-143	31	4	convolution	convolution	NOUN
ejpam-143	31	5	theorem	theorem	VERB
ejpam-143	31	6	for	for	ADP
ejpam-143	31	7	fractional	fractional	ADJ
ejpam-143	31	8	hartley	hartley	PROPN
ejpam-143	31	9	transform	transform	NOUN
ejpam-143	31	10	in	in	ADP
ejpam-143	31	11	section	section	NOUN
ejpam-143	31	12	3	3	NUM
ejpam-143	31	13	.	.	PUNCT
ejpam-143	31	14	also	also	ADV
ejpam-143	31	15	discussed	discuss	VERB
ejpam-143	31	16	the	the	DET
ejpam-143	31	17	modulation	modulation	NOUN
ejpam-143	31	18	theorem	theorem	NOUN
ejpam-143	31	19	and	and	CCONJ
ejpam-143	31	20	parseval	parseval	NOUN
ejpam-143	31	21	’s	’s	PART
ejpam-143	31	22	identity	identity	NOUN
ejpam-143	31	23	in	in	ADP
ejpam-143	31	24	section	section	NOUN
ejpam-143	31	25	4	4	NUM
ejpam-143	31	26	.	.	PUNCT
ejpam-143	32	1	p.	p.	NOUN
ejpam-143	32	2	sontakke	sontakke	PROPN
ejpam-143	32	3	,	,	PUNCT
ejpam-143	32	4	a.	a.	NOUN
ejpam-143	32	5	gudadhe	gudadhe	PROPN
ejpam-143	32	6	/	/	SYM
ejpam-143	32	7	eur	eur	PROPN
ejpam-143	32	8	.	.	PUNCT
ejpam-143	33	1	j.	j.	PROPN
ejpam-143	33	2	pure	pure	PROPN
ejpam-143	33	3	appl	appl	PROPN
ejpam-143	33	4	.	.	PROPN
ejpam-143	33	5	math	math	PROPN
ejpam-143	33	6	,	,	PUNCT
ejpam-143	33	7	2	2	NUM
ejpam-143	33	8	(	(	PUNCT
ejpam-143	33	9	2009	2009	NUM
ejpam-143	33	10	)	)	PUNCT
ejpam-143	33	11	164	164	NUM
ejpam-143	33	12	2	2	NUM
ejpam-143	33	13	.	.	PUNCT
ejpam-143	33	14	generalized	generalize	VERB
ejpam-143	33	15	fractional	fractional	PROPN
ejpam-143	33	16	hartley	hartley	PROPN
ejpam-143	33	17	transform	transform	VERB
ejpam-143	33	18	2.1	2.1	NUM
ejpam-143	33	19	the	the	DET
ejpam-143	33	20	test	test	NOUN
ejpam-143	33	21	function	function	NOUN
ejpam-143	33	22	space	space	NOUN
ejpam-143	33	23	)	)	PUNCT
ejpam-143	33	24	e(rn	e(rn	PROPN
ejpam-143	33	25	an	an	DET
ejpam-143	33	26	infinitely	infinitely	ADV
ejpam-143	33	27	differentiable	differentiable	ADJ
ejpam-143	33	28	complex	complex	NOUN
ejpam-143	33	29	valued	value	VERB
ejpam-143	33	30	function	function	NOUN
ejpam-143	33	31	ψ	ψ	NOUN
ejpam-143	33	32	on	on	ADP
ejpam-143	33	33	nr	nr	PRON
ejpam-143	33	34	belongs	belong	VERB
ejpam-143	33	35	to	to	ADP
ejpam-143	33	36	)	)	PUNCT
ejpam-143	33	37	(	(	PUNCT
ejpam-143	33	38	nre	nre	PROPN
ejpam-143	33	39	if	if	SCONJ
ejpam-143	33	40	for	for	ADP
ejpam-143	33	41	each	each	DET
ejpam-143	33	42	compact	compact	ADJ
ejpam-143	33	43	set	set	NOUN
ejpam-143	33	44	ask	ask	VERB
ejpam-143	33	45	⊂	⊂	PRON
ejpam-143	33	46	where	where	SCONJ
ejpam-143	33	47	{	{	PUNCT
ejpam-143	33	48	}	}	PUNCT
ejpam-143	33	49	,	,	PUNCT
ejpam-143	33	50	0	0	NUM
ejpam-143	33	51	,	,	PUNCT
ejpam-143	33	52	,	,	PUNCT
ejpam-143	33	53	>	>	PUNCT
ejpam-143	33	54	≤∈=	≤∈=	NOUN
ejpam-143	33	55	aatrts	aatrt	NOUN
ejpam-143	33	56	n	n	PROPN
ejpam-143	33	57	a	a	PRON
ejpam-143	33	58	,	,	PUNCT
ejpam-143	33	59	)	)	PUNCT
ejpam-143	33	60	(	(	PUNCT
ejpam-143	33	61	sup	sup	NOUN
ejpam-143	33	62	)	)	PUNCT
ejpam-143	33	63	(	(	PUNCT
ejpam-143	33	64	,	,	PUNCT
ejpam-143	33	65	∞<=	∞<=	PROPN
ejpam-143	33	66	∈	∈	PROPN
ejpam-143	33	67	tdk	tdk	NOUN
ejpam-143	33	68	t	t	PROPN
ejpam-143	33	69	kt	kt	PROPN
ejpam-143	33	70	ke	ke	PROPN
ejpam-143	33	71	ψψγ	ψψγ	VERB
ejpam-143	33	72	,	,	PUNCT
ejpam-143	33	73	.....	.....	PROPN
ejpam-143	33	74	3,2,1	3,2,1	NUM
ejpam-143	33	75	=	=	SYM
ejpam-143	33	76	k	k	NOUN
ejpam-143	33	77	note	note	NOUN
ejpam-143	33	78	that	that	SCONJ
ejpam-143	33	79	the	the	DET
ejpam-143	33	80	space	space	NOUN
ejpam-143	33	81	e	e	NOUN
ejpam-143	33	82	is	be	AUX
ejpam-143	33	83	complete	complete	ADJ
ejpam-143	33	84	and	and	CCONJ
ejpam-143	33	85	therefore	therefore	ADV
ejpam-143	33	86	a	a	DET
ejpam-143	33	87	frechet	frechet	ADJ
ejpam-143	33	88	space	space	NOUN
ejpam-143	33	89	.	.	PUNCT
ejpam-143	34	1	2.2	2.2	NUM
ejpam-143	34	2	the	the	DET
ejpam-143	34	3	fractional	fractional	ADJ
ejpam-143	34	4	hartley	hartley	NOUN
ejpam-143	34	5	transform	transform	NOUN
ejpam-143	34	6	on	on	ADP
ejpam-143	34	7	'	'	PUNCT
ejpam-143	34	8	e	e	NOUN
ejpam-143	34	9	it	it	PRON
ejpam-143	34	10	can	can	AUX
ejpam-143	34	11	be	be	AUX
ejpam-143	34	12	easily	easily	ADV
ejpam-143	34	13	proved	prove	VERB
ejpam-143	34	14	that	that	DET
ejpam-143	34	15	function	function	NOUN
ejpam-143	34	16	)	)	PUNCT
ejpam-143	34	17	,	,	PUNCT
ejpam-143	34	18	(	(	PUNCT
ejpam-143	34	19	stkα	stkα	PROPN
ejpam-143	34	20	as	as	ADP
ejpam-143	34	21	a	a	DET
ejpam-143	34	22	function	function	NOUN
ejpam-143	34	23	of	of	ADP
ejpam-143	34	24	t	t	PROPN
ejpam-143	34	25	,	,	PUNCT
ejpam-143	34	26	is	be	AUX
ejpam-143	34	27	a	a	DET
ejpam-143	34	28	member	member	NOUN
ejpam-143	34	29	of	of	ADP
ejpam-143	34	30	)	)	PUNCT
ejpam-143	34	31	(	(	PUNCT
ejpam-143	34	32	nre	nre	PROPN
ejpam-143	34	33	,	,	PUNCT
ejpam-143	34	34	where	where	SCONJ
ejpam-143	34	35	[	[	PUNCT
ejpam-143	34	36	]	]	X
ejpam-143	34	37	,	,	PUNCT
ejpam-143	34	38	)	)	PUNCT
ejpam-143	34	39	.csc()1().(csc)1	.csc()1().(csc)1	NOUN
ejpam-143	35	1	(	(	PUNCT
ejpam-143	35	2	2	2	NUM
ejpam-143	35	3	1	1	NUM
ejpam-143	35	4	.	.	SYM
ejpam-143	35	5	2	2	NUM
ejpam-143	35	6	cot1	cot1	PROPN
ejpam-143	35	7	)	)	PUNCT
ejpam-143	35	8	,	,	PUNCT
ejpam-143	35	9	(	(	PUNCT
ejpam-143	35	10	cot	cot	NOUN
ejpam-143	35	11	2	2	NUM
ejpam-143	35	12	cot	cot	NOUN
ejpam-143	35	13	2	2	NUM
ejpam-143	35	14	22	22	NUM
ejpam-143	35	15	stcasiestcasieeeistk	stcasiestcasieeeistk	PROPN
ejpam-143	35	16	ii	ii	PROPN
ejpam-143	35	17	tisi	tisi	VERB
ejpam-143	35	18	φφ	φφ	ADP
ejpam-143	35	19	π	π	PROPN
ejpam-143	35	20	φ	φ	PROPN
ejpam-143	35	21	φφφφ	φφφφ	PROPN
ejpam-143	35	22	α	α	PROPN
ejpam-143	36	1	−++−	−++−	PROPN
ejpam-143	36	2	−	−	PROPN
ejpam-143	37	1	=	=	PUNCT
ejpam-143	37	2	and	and	CCONJ
ejpam-143	37	3	2	2	NUM
ejpam-143	37	4	απφ	απφ	NOUN
ejpam-143	37	5	=	=	PRON
ejpam-143	37	6	.	.	PUNCT
ejpam-143	38	1	the	the	DET
ejpam-143	38	2	generalized	generalize	VERB
ejpam-143	38	3	fractional	fractional	ADJ
ejpam-143	38	4	hartley	hartley	PROPN
ejpam-143	38	5	transform	transform	NOUN
ejpam-143	38	6	of	of	ADP
ejpam-143	38	7	,	,	PUNCT
ejpam-143	38	8	)	)	PUNCT
ejpam-143	38	9	(	(	PUNCT
ejpam-143	38	10	)	)	PUNCT
ejpam-143	38	11	(	(	PUNCT
ejpam-143	38	12	'	'	PUNCT
ejpam-143	38	13	nretf	nretf	NOUN
ejpam-143	38	14	∈	∈	NOUN
ejpam-143	38	15	where	where	SCONJ
ejpam-143	38	16	)	)	PUNCT
ejpam-143	38	17	(	(	PUNCT
ejpam-143	38	18	'	'	PUNCT
ejpam-143	38	19	nre	nre	PROPN
ejpam-143	38	20	is	be	AUX
ejpam-143	38	21	the	the	DET
ejpam-143	38	22	dual	dual	ADJ
ejpam-143	38	23	of	of	ADP
ejpam-143	38	24	the	the	DET
ejpam-143	38	25	testing	testing	NOUN
ejpam-143	38	26	function	function	NOUN
ejpam-143	38	27	space	space	NOUN
ejpam-143	38	28	,	,	PUNCT
ejpam-143	38	29	can	can	AUX
ejpam-143	38	30	be	be	AUX
ejpam-143	38	31	defined	define	VERB
ejpam-143	38	32	as	as	ADP
ejpam-143	38	33	,	,	PUNCT
ejpam-143	38	34	{	{	PUNCT
ejpam-143	38	35	}	}	PUNCT
ejpam-143	38	36	.	.	PUNCT
ejpam-143	38	37	)	)	PUNCT
ejpam-143	38	38	,	,	PUNCT
ejpam-143	38	39	(	(	PUNCT
ejpam-143	38	40	,	,	PUNCT
ejpam-143	38	41	)	)	PUNCT
ejpam-143	38	42	(	(	PUNCT
ejpam-143	38	43	)	)	PUNCT
ejpam-143	38	44	(	(	PUNCT
ejpam-143	38	45	)	)	PUNCT
ejpam-143	38	46	(	(	PUNCT
ejpam-143	38	47	stktfstfh	stktfstfh	NOUN
ejpam-143	38	48	α	α	NOUN
ejpam-143	38	49	α	α	NOUN
ejpam-143	38	50	=	=	X
ejpam-143	38	51	(	(	PUNCT
ejpam-143	38	52	2.2.1	2.2.1	NUM
ejpam-143	38	53	)	)	PUNCT
ejpam-143	38	54	another	another	DET
ejpam-143	38	55	simple	simple	ADJ
ejpam-143	38	56	form	form	NOUN
ejpam-143	38	57	of	of	ADP
ejpam-143	38	58	fractional	fractional	PROPN
ejpam-143	38	59	hartley	hartley	PROPN
ejpam-143	38	60	transform	transform	NOUN
ejpam-143	38	61	as	as	ADP
ejpam-143	38	62	in	in	ADP
ejpam-143	38	63	sontakke	sontakke	NOUN
ejpam-143	38	64	[	[	X
ejpam-143	38	65	3	3	X
ejpam-143	38	66	]	]	X
ejpam-143	38	67	is	be	AUX
ejpam-143	38	68	{	{	PUNCT
ejpam-143	38	69	}	}	PUNCT
ejpam-143	38	70	[	[	PUNCT
ejpam-143	38	71	]	]	X
ejpam-143	38	72	dttfstiesteeistfh	dttfstiesteeistfh	INTJ
ejpam-143	38	73	i	i	PRON
ejpam-143	38	74	tisi	tisi	VERB
ejpam-143	38	75	)	)	PUNCT
ejpam-143	38	76	(	(	PUNCT
ejpam-143	38	77	)	)	PUNCT
ejpam-143	38	78	.sin(csc).cos(csc	.sin(csc).cos(csc	PROPN
ejpam-143	38	79	2	2	NUM
ejpam-143	38	80	cot1	cot1	PROPN
ejpam-143	38	81	)	)	PUNCT
ejpam-143	38	82	(	(	PUNCT
ejpam-143	38	83	)	)	PUNCT
ejpam-143	38	84	(	(	PUNCT
ejpam-143	38	85	cot	cot	NOUN
ejpam-143	38	86	2	2	NUM
ejpam-143	38	87	cot	cot	NOUN
ejpam-143	38	88	2	2	NUM
ejpam-143	38	89	22	22	NUM
ejpam-143	38	90	φφ	φφ	ADP
ejpam-143	38	91	π	π	PROPN
ejpam-143	38	92	φ	φ	X
ejpam-143	38	93	φφφα	φφφα	NOUN
ejpam-143	38	94	−	−	PROPN
ejpam-143	39	1	−	−	PROPN
ejpam-143	40	1	=	=	SYM
ejpam-143	40	2	∫	∫	PROPN
ejpam-143	40	3	∞	∞	NUM
ejpam-143	40	4	∞−	∞−	PROPN
ejpam-143	40	5	(	(	PUNCT
ejpam-143	40	6	2.2.2	2.2.2	NUM
ejpam-143	40	7	)	)	PUNCT
ejpam-143	40	8	3	3	NUM
ejpam-143	40	9	.	.	PUNCT
ejpam-143	40	10	convolution	convolution	NOUN
ejpam-143	40	11	of	of	ADP
ejpam-143	40	12	fractional	fractional	PROPN
ejpam-143	40	13	hartley	hartley	PROPN
ejpam-143	40	14	transform	transform	VERB
ejpam-143	40	15	3.1	3.1	NUM
ejpam-143	40	16	convolution	convolution	NOUN
ejpam-143	40	17	theorem	theorem	NOUN
ejpam-143	40	18	:	:	PUNCT
ejpam-143	40	19	we	we	PRON
ejpam-143	40	20	define	define	VERB
ejpam-143	40	21	fractional	fractional	ADJ
ejpam-143	40	22	hartley	hartley	PROPN
ejpam-143	40	23	type	type	NOUN
ejpam-143	40	24	convolution	convolution	NOUN
ejpam-143	40	25	as	as	SCONJ
ejpam-143	40	26	follows	follow	VERB
ejpam-143	40	27	.	.	PUNCT
ejpam-143	41	1	for	for	ADP
ejpam-143	41	2	any	any	DET
ejpam-143	41	3	function	function	NOUN
ejpam-143	41	4	)	)	PUNCT
ejpam-143	41	5	(	(	PUNCT
ejpam-143	41	6	tf	tf	INTJ
ejpam-143	41	7	,	,	PUNCT
ejpam-143	41	8	define	define	VERB
ejpam-143	41	9	the	the	DET
ejpam-143	41	10	function	function	NOUN
ejpam-143	41	11	2	2	NUM
ejpam-143	41	12	cot	cot	NOUN
ejpam-143	41	13	2	2	NUM
ejpam-143	41	14	)	)	PUNCT
ejpam-143	41	15	(	(	PUNCT
ejpam-143	41	16	)	)	PUNCT
ejpam-143	41	17	(	(	PUNCT
ejpam-143	41	18	ti	ti	PROPN
ejpam-143	41	19	etftf	etftf	X
ejpam-143	41	20	φ	φ	PROPN
ejpam-143	41	21	=	=	PUNCT
ejpam-143	41	22	.	.	PUNCT
ejpam-143	42	1	then	then	ADV
ejpam-143	42	2	for	for	ADP
ejpam-143	42	3	any	any	DET
ejpam-143	42	4	two	two	NUM
ejpam-143	42	5	function	function	NOUN
ejpam-143	42	6	f	f	NOUN
ejpam-143	42	7	and	and	CCONJ
ejpam-143	42	8	g	g	PROPN
ejpam-143	42	9	we	we	PRON
ejpam-143	42	10	define	define	VERB
ejpam-143	42	11	the	the	DET
ejpam-143	42	12	convolution	convolution	NOUN
ejpam-143	42	13	operation	operation	NOUN
ejpam-143	42	14	‘	'	PUNCT
ejpam-143	42	15	∗	∗	NOUN
ejpam-143	42	16	’	'	PUNCT
ejpam-143	42	17	by	by	ADP
ejpam-143	42	18	p.	p.	PROPN
ejpam-143	42	19	sontakke	sontakke	PROPN
ejpam-143	42	20	,	,	PUNCT
ejpam-143	42	21	a.	a.	NOUN
ejpam-143	42	22	gudadhe	gudadhe	PROPN
ejpam-143	42	23	/	/	SYM
ejpam-143	42	24	eur	eur	PROPN
ejpam-143	42	25	.	.	PUNCT
ejpam-143	43	1	j.	j.	PROPN
ejpam-143	43	2	pure	pure	PROPN
ejpam-143	43	3	appl	appl	PROPN
ejpam-143	43	4	.	.	PROPN
ejpam-143	43	5	math	math	PROPN
ejpam-143	43	6	,	,	PUNCT
ejpam-143	43	7	2	2	NUM
ejpam-143	43	8	(	(	PUNCT
ejpam-143	43	9	2009	2009	NUM
ejpam-143	43	10	)	)	PUNCT
ejpam-143	43	11	165	165	NUM
ejpam-143	43	12	)	)	PUNCT
ejpam-143	43	13	(	(	PUNCT
ejpam-143	43	14	th	th	X
ejpam-143	43	15	=	=	SYM
ejpam-143	43	16	(	(	PUNCT
ejpam-143	43	17	f	f	X
ejpam-143	43	18	⋆	⋆	VERB
ejpam-143	43	19	g	g	PROPN
ejpam-143	43	20	)	)	PUNCT
ejpam-143	43	21	)	)	PUNCT
ejpam-143	43	22	(	(	PUNCT
ejpam-143	43	23	t	t	NOUN
ejpam-143	43	24	=	=	PUNCT
ejpam-143	43	25	)	)	PUNCT
ejpam-143	43	26	.	.	PUNCT
ejpam-143	43	27	)	)	PUNCT
ejpam-143	44	1	(	(	PUNCT
ejpam-143	44	2	(	(	PUNCT
ejpam-143	44	3	.	.	SYM
ejpam-143	44	4	2	2	NUM
ejpam-143	44	5	cot1	cot1	NOUN
ejpam-143	44	6	2	2	NUM
ejpam-143	44	7	cot	cot	NOUN
ejpam-143	44	8	2	2	NUM
ejpam-143	44	9	tgfei	tgfei	NOUN
ejpam-143	44	10	ti	ti	NOUN
ejpam-143	44	11	∗	∗	NOUN
ejpam-143	44	12	−	−	PROPN
ejpam-143	44	13	−	−	PROPN
ejpam-143	45	1	φ	φ	PROPN
ejpam-143	45	2	π	π	PROPN
ejpam-143	45	3	φ	φ	PROPN
ejpam-143	45	4	now	now	ADV
ejpam-143	45	5	we	we	PRON
ejpam-143	45	6	state	state	VERB
ejpam-143	45	7	and	and	CCONJ
ejpam-143	45	8	prove	prove	VERB
ejpam-143	45	9	our	our	PRON
ejpam-143	45	10	convolution	convolution	NOUN
ejpam-143	45	11	theorem	theorem	ADJ
ejpam-143	45	12	.	.	PUNCT
ejpam-143	46	1	theorem	theorem	ADJ
ejpam-143	46	2	:	:	PUNCT
ejpam-143	46	3	let	let	VERB
ejpam-143	46	4	)	)	PUNCT
ejpam-143	46	5	(	(	PUNCT
ejpam-143	46	6	th	th	X
ejpam-143	46	7	=	=	SYM
ejpam-143	46	8	(	(	PUNCT
ejpam-143	46	9	f	f	X
ejpam-143	46	10	⋆	⋆	VERB
ejpam-143	46	11	g	g	PROPN
ejpam-143	46	12	)	)	PUNCT
ejpam-143	46	13	)	)	PUNCT
ejpam-143	47	1	(	(	PUNCT
ejpam-143	47	2	t	t	NOUN
ejpam-143	47	3	and	and	CCONJ
ejpam-143	47	4	{	{	PUNCT
ejpam-143	47	5	}	}	PUNCT
ejpam-143	47	6	)	)	PUNCT
ejpam-143	47	7	(	(	PUNCT
ejpam-143	47	8	thh	thh	NOUN
ejpam-143	47	9	α	α	NOUN
ejpam-143	47	10	,	,	PUNCT
ejpam-143	47	11	{	{	PUNCT
ejpam-143	47	12	}	}	PUNCT
ejpam-143	47	13	)	)	PUNCT
ejpam-143	47	14	(	(	PUNCT
ejpam-143	47	15	tfh	tfh	PROPN
ejpam-143	47	16	α	α	PROPN
ejpam-143	47	17	and	and	CCONJ
ejpam-143	47	18	{	{	PUNCT
ejpam-143	47	19	}	}	PUNCT
ejpam-143	47	20	)	)	PUNCT
ejpam-143	47	21	(	(	PUNCT
ejpam-143	47	22	tgh	tgh	PROPN
ejpam-143	47	23	α	α	PROPN
ejpam-143	47	24	denote	denote	VERB
ejpam-143	47	25	the	the	DET
ejpam-143	47	26	fractional	fractional	ADJ
ejpam-143	47	27	hartley	hartley	NOUN
ejpam-143	47	28	transform	transform	NOUN
ejpam-143	47	29	of	of	ADP
ejpam-143	47	30	)	)	PUNCT
ejpam-143	47	31	(	(	PUNCT
ejpam-143	47	32	th	th	INTJ
ejpam-143	47	33	,	,	PUNCT
ejpam-143	47	34	)	)	PUNCT
ejpam-143	47	35	(	(	PUNCT
ejpam-143	47	36	tf	tf	INTJ
ejpam-143	47	37	and	and	CCONJ
ejpam-143	47	38	)	)	PUNCT
ejpam-143	47	39	(	(	PUNCT
ejpam-143	47	40	tg	tg	PROPN
ejpam-143	47	41	respectively	respectively	ADV
ejpam-143	47	42	,	,	PUNCT
ejpam-143	47	43	then	then	ADV
ejpam-143	47	44	{	{	PUNCT
ejpam-143	47	45	}	}	PUNCT
ejpam-143	47	46	{	{	PUNCT
ejpam-143	47	47	}	}	PUNCT
ejpam-143	47	48	{	{	PUNCT
ejpam-143	47	49	}	}	PUNCT
ejpam-143	47	50	{	{	PUNCT
ejpam-143	47	51	}	}	PUNCT
ejpam-143	47	52	(	(	PUNCT
ejpam-143	47	53	)	)	PUNCT
ejpam-143	47	54	[	[	PUNCT
ejpam-143	47	55	)	)	PUNCT
ejpam-143	47	56	(	(	PUNCT
ejpam-143	47	57	)	)	PUNCT
ejpam-143	47	58	(	(	PUNCT
ejpam-143	47	59	)	)	PUNCT
ejpam-143	47	60	(	(	PUNCT
ejpam-143	47	61	)	)	PUNCT
ejpam-143	47	62	(	(	PUNCT
ejpam-143	47	63	(	(	PUNCT
ejpam-143	47	64	s	s	NOUN
ejpam-143	47	65	)	)	PUNCT
ejpam-143	47	66	)	)	PUNCT
ejpam-143	47	67	(	(	PUNCT
ejpam-143	47	68	)	)	PUNCT
ejpam-143	47	69	(	(	PUNCT
ejpam-143	47	70	)	)	PUNCT
ejpam-143	47	71	(	(	PUNCT
ejpam-143	47	72	2	2	NUM
ejpam-143	47	73	cot	cot	NOUN
ejpam-143	47	74	2	2	NUM
ejpam-143	47	75	2	2	NUM
ejpam-143	47	76	stfhstfhtghsthhe	stfhstfhtghsthhe	NOUN
ejpam-143	47	77	si	si	PROPN
ejpam-143	47	78	−−=	−−=	PROPN
ejpam-143	47	79	ααααφ	ααααφ	PROPN
ejpam-143	47	80	{	{	PUNCT
ejpam-143	47	81	}	}	PUNCT
ejpam-143	47	82	{	{	PUNCT
ejpam-143	47	83	}	}	PUNCT
ejpam-143	47	84	(	(	PUNCT
ejpam-143	47	85	)	)	PUNCT
ejpam-143	47	86	]	]	PUNCT
ejpam-143	47	87	{	{	PUNCT
ejpam-143	47	88	}	}	PUNCT
ejpam-143	47	89	{	{	PUNCT
ejpam-143	47	90	}	}	PUNCT
ejpam-143	47	91	{	{	PUNCT
ejpam-143	47	92	}	}	PUNCT
ejpam-143	47	93	(	(	PUNCT
ejpam-143	47	94	)	)	PUNCT
ejpam-143	47	95	)	)	PUNCT
ejpam-143	47	96	(	(	PUNCT
ejpam-143	47	97	)	)	PUNCT
ejpam-143	47	98	(	(	PUNCT
ejpam-143	47	99	)	)	PUNCT
ejpam-143	47	100	(	(	PUNCT
ejpam-143	47	101	)	)	PUNCT
ejpam-143	47	102	(	(	PUNCT
ejpam-143	47	103	(	(	PUNCT
ejpam-143	47	104	s	s	NOUN
ejpam-143	47	105	)	)	PUNCT
ejpam-143	47	106	)	)	PUNCT
ejpam-143	47	107	(	(	PUNCT
ejpam-143	47	108	sin	sin	NOUN
ejpam-143	47	109	.	.	PUNCT
ejpam-143	47	110	)	)	PUNCT
ejpam-143	48	1	(	(	PUNCT
ejpam-143	48	2	)	)	PUNCT
ejpam-143	48	3	(	(	PUNCT
ejpam-143	48	4	)	)	PUNCT
ejpam-143	48	5	(	(	PUNCT
ejpam-143	48	6	)	)	PUNCT
ejpam-143	48	7	(	(	PUNCT
ejpam-143	48	8	cos	cos	PROPN
ejpam-143	48	9	.	.	PROPN
ejpam-143	48	10	stfhstfhtghestfhstfhe	stfhstfhtghestfhstfhe	PROPN
ejpam-143	48	11	ii	ii	PROPN
ejpam-143	48	12	αααφααφ	αααφααφ	PROPN
ejpam-143	48	13	φφ	φφ	ADP
ejpam-143	48	14	−−−+−++	−−−+−++	PROPN
ejpam-143	48	15	−−	−−	PROPN
ejpam-143	48	16	proof	proof	NOUN
ejpam-143	48	17	:	:	PUNCT
ejpam-143	48	18	from	from	ADP
ejpam-143	48	19	the	the	DET
ejpam-143	48	20	definition	definition	NOUN
ejpam-143	48	21	of	of	ADP
ejpam-143	48	22	the	the	DET
ejpam-143	48	23	fractional	fractional	ADJ
ejpam-143	48	24	hartley	hartley	PROPN
ejpam-143	48	25	transform	transform	NOUN
ejpam-143	48	26	(	(	PUNCT
ejpam-143	48	27	2.2.2	2.2.2	NUM
ejpam-143	48	28	)	)	PUNCT
ejpam-143	48	29	and	and	CCONJ
ejpam-143	48	30	definition	definition	NOUN
ejpam-143	48	31	of	of	ADP
ejpam-143	48	32	convolution	convolution	NOUN
ejpam-143	48	33	we	we	PRON
ejpam-143	48	34	have	have	VERB
ejpam-143	48	35	,	,	PUNCT
ejpam-143	48	36	{	{	PUNCT
ejpam-143	48	37	}	}	PUNCT
ejpam-143	48	38	[	[	PUNCT
ejpam-143	48	39	]	]	X
ejpam-143	48	40	dtthstiesteeisthh	dtthstiesteeisthh	ADV
ejpam-143	48	41	i	i	PRON
ejpam-143	48	42	tisi	tisi	VERB
ejpam-143	48	43	)	)	PUNCT
ejpam-143	48	44	(	(	PUNCT
ejpam-143	48	45	)	)	PUNCT
ejpam-143	48	46	.sin(csc).cos(csc	.sin(csc).cos(csc	PROPN
ejpam-143	48	47	2	2	NUM
ejpam-143	48	48	cot1	cot1	PROPN
ejpam-143	48	49	)	)	PUNCT
ejpam-143	48	50	(	(	PUNCT
ejpam-143	48	51	)	)	PUNCT
ejpam-143	48	52	(	(	PUNCT
ejpam-143	48	53	cot	cot	NOUN
ejpam-143	48	54	2	2	NUM
ejpam-143	48	55	cot	cot	NOUN
ejpam-143	48	56	2	2	NUM
ejpam-143	48	57	22	22	NUM
ejpam-143	48	58	φφ	φφ	ADP
ejpam-143	48	59	π	π	PROPN
ejpam-143	48	60	φ	φ	X
ejpam-143	48	61	φφφα	φφφα	NOUN
ejpam-143	48	62	−	−	PROPN
ejpam-143	48	63	−	−	PROPN
ejpam-143	49	1	=	=	SYM
ejpam-143	49	2	∫	∫	PROPN
ejpam-143	49	3	∞	∞	NUM
ejpam-143	49	4	∞−	∞−	PROPN
ejpam-143	49	5	.	.	PUNCT
ejpam-143	50	1	[	[	PUNCT
ejpam-143	50	2	]	]	X
ejpam-143	50	3	∫∫	∫∫	ADV
ejpam-143	50	4	∞	∞	NUM
ejpam-143	50	5	∞−	∞−	NOUN
ejpam-143	50	6	−	−	PROPN
ejpam-143	50	7	∞	∞	NUM
ejpam-143	50	8	∞−	∞−	PROPN
ejpam-143	50	9	−	−	NOUN
ejpam-143	50	10			PUNCT
ejpam-143	51	1			PROPN
ejpam-143	52	1			INTJ
ejpam-143	52	2			NOUN
ejpam-143	52	3			VERB
ejpam-143	52	4	−	−	NOUN
ejpam-143	52	5	=	=	SYM
ejpam-143	52	6	φφφφφ	φφφφφ	NOUN
ejpam-143	53	1	φφ	φφ	ADP
ejpam-143	53	2	π	π	PROPN
ejpam-143	53	3	φ	φ	X
ejpam-143	53	4	cot	cot	NOUN
ejpam-143	53	5	2	2	NUM
ejpam-143	53	6	cot	cot	NOUN
ejpam-143	53	7	2	2	NUM
ejpam-143	53	8	cot	cot	NOUN
ejpam-143	53	9	2	2	NUM
ejpam-143	53	10	cot	cot	NOUN
ejpam-143	53	11	2	2	NUM
ejpam-143	53	12	2	2	NUM
ejpam-143	53	13	2222	2222	NUM
ejpam-143	53	14	)	)	PUNCT
ejpam-143	53	15	(	(	PUNCT
ejpam-143	53	16	.).sin(csc).cos(csc	.).sin(csc).cos(csc	SYM
ejpam-143	53	17	2	2	NUM
ejpam-143	53	18	cot1	cot1	PROPN
ejpam-143	53	19	uitii	uitii	PROPN
ejpam-143	53	20	tisi	tisi	VERB
ejpam-143	53	21	eufestiesteei	eufestiesteei	PROPN
ejpam-143	53	22	dudteutg	dudteutg	NOUN
ejpam-143	53	23	uti	uti	PROPN
ejpam-143	53	24	2	2	NUM
ejpam-143	53	25	)	)	PUNCT
ejpam-143	53	26	(	(	PUNCT
ejpam-143	53	27	cot	cot	NOUN
ejpam-143	53	28	2	2	NUM
ejpam-143	53	29	)	)	PUNCT
ejpam-143	53	30	(	(	PUNCT
ejpam-143	53	31	−	−	PROPN
ejpam-143	53	32	−	−	PROPN
ejpam-143	54	1	φ	φ	PROPN
ejpam-143	54	2	[	[	PUNCT
ejpam-143	54	3	]	]	X
ejpam-143	54	4	.	.	PUNCT
ejpam-143	54	5	)	)	PUNCT
ejpam-143	55	1	.sin(csc).cos(csc	.sin(csc).cos(csc	PROPN
ejpam-143	55	2	)	)	PUNCT
ejpam-143	55	3	(	(	PUNCT
ejpam-143	55	4	)	)	PUNCT
ejpam-143	55	5	(	(	PUNCT
ejpam-143	55	6	2	2	NUM
ejpam-143	55	7	cot1	cot1	NOUN
ejpam-143	55	8	2	2	NUM
ejpam-143	55	9	)	)	PUNCT
ejpam-143	55	10	(	(	PUNCT
ejpam-143	55	11	cot	cot	NOUN
ejpam-143	55	12	2	2	NUM
ejpam-143	55	13	cotcot	cotcot	ADJ
ejpam-143	55	14	2	2	NUM
ejpam-143	55	15	2	2	NUM
ejpam-143	55	16	222	222	NUM
ejpam-143	55	17	dtdustiesteeutgufei	dtdustiesteeutgufei	NOUN
ejpam-143	55	18	i	i	PRON
ejpam-143	55	19	utiuisi	utiuisi	VERB
ejpam-143	55	20	φφ	φφ	ADP
ejpam-143	55	21	π	π	PROPN
ejpam-143	55	22	φ	φ	PROPN
ejpam-143	55	23	φφφφ	φφφφ	PROPN
ejpam-143	55	24	−−	−−	NUM
ejpam-143	55	25			PUNCT
ejpam-143	56	1			PROPN
ejpam-143	57	1			INTJ
ejpam-143	57	2			NOUN
ejpam-143	57	3			VERB
ejpam-143	57	4	−	−	NOUN
ejpam-143	57	5	=	=	PUNCT
ejpam-143	57	6	−∞	−∞	PUNCT
ejpam-143	57	7	∞−	∞−	NOUN
ejpam-143	57	8	∞	∞	PROPN
ejpam-143	57	9	∞−	∞−	PROPN
ejpam-143	57	10	∫	∫	PROPN
ejpam-143	57	11	∫	∫	PROPN
ejpam-143	57	12	by	by	ADP
ejpam-143	57	13	making	make	VERB
ejpam-143	57	14	the	the	DET
ejpam-143	57	15	change	change	NOUN
ejpam-143	57	16	of	of	ADP
ejpam-143	57	17	variable	variable	NOUN
ejpam-143	57	18	,	,	PUNCT
ejpam-143	57	19	vut	vut	PROPN
ejpam-143	57	20	=	=	NOUN
ejpam-143	57	21	−	−	NOUN
ejpam-143	57	22	we	we	PRON
ejpam-143	57	23	obtain	obtain	VERB
ejpam-143	57	24	[	[	PUNCT
ejpam-143	57	25	]	]	X
ejpam-143	57	26	dvduvusievuseevgufei	dvduvusievuseevgufei	NOUN
ejpam-143	57	27	i	i	PRON
ejpam-143	57	28	viuisi	viuisi	VERB
ejpam-143	57	29	)	)	PUNCT
ejpam-143	57	30	(	(	PUNCT
ejpam-143	57	31	.sin(csc))(.cos(csc	.sin(csc))(.cos(csc	PROPN
ejpam-143	57	32	)	)	PUNCT
ejpam-143	57	33	(	(	PUNCT
ejpam-143	57	34	)	)	PUNCT
ejpam-143	57	35	(	(	PUNCT
ejpam-143	57	36	2	2	NUM
ejpam-143	57	37	cot1	cot1	NOUN
ejpam-143	57	38	2	2	NUM
ejpam-143	57	39	cot	cot	NOUN
ejpam-143	57	40	2	2	NUM
ejpam-143	57	41	cotcot	cotcot	ADJ
ejpam-143	57	42	2	2	NUM
ejpam-143	57	43	2	2	NUM
ejpam-143	57	44	222	222	NUM
ejpam-143	57	45	+	+	NOUN
ejpam-143	57	46	−+	−+	ADJ
ejpam-143	57	47			PUNCT
ejpam-143	57	48			PROPN
ejpam-143	58	1			INTJ
ejpam-143	58	2			NOUN
ejpam-143	58	3			VERB
ejpam-143	58	4	−	−	PROPN
ejpam-143	59	1	=	=	SYM
ejpam-143	60	1	∫	∫	PROPN
ejpam-143	61	1	∫	∫	PROPN
ejpam-143	61	2	∞	∞	PROPN
ejpam-143	62	1	∞−	∞−	PROPN
ejpam-143	63	1	∞	∞	PROPN
ejpam-143	64	1	∞−	∞−	PROPN
ejpam-143	65	1	φφ	φφ	PROPN
ejpam-143	65	2	π	π	PROPN
ejpam-143	65	3	φ	φ	PROPN
ejpam-143	65	4	φφφφ	φφφφ	PROPN
ejpam-143	65	5	{	{	PUNCT
ejpam-143	65	6	}	}	PUNCT
ejpam-143	65	7	{	{	PUNCT
ejpam-143	65	8	}	}	PUNCT
ejpam-143	65	9	{	{	PUNCT
ejpam-143	65	10	}	}	PUNCT
ejpam-143	65	11	{	{	PUNCT
ejpam-143	65	12	}	}	PUNCT
ejpam-143	65	13	{	{	PUNCT
ejpam-143	65	14	}	}	PUNCT
ejpam-143	65	15	[	[	PUNCT
ejpam-143	65	16	)	)	PUNCT
ejpam-143	65	17	(	(	PUNCT
ejpam-143	65	18	)	)	PUNCT
ejpam-143	65	19	(	(	PUNCT
ejpam-143	65	20	cos	cos	PROPN
ejpam-143	65	21	)	)	PUNCT
ejpam-143	65	22	(	(	PUNCT
ejpam-143	65	23	(	(	PUNCT
ejpam-143	65	24	s	s	NOUN
ejpam-143	65	25	)	)	PUNCT
ejpam-143	65	26	)	)	PUNCT
ejpam-143	65	27	(	(	PUNCT
ejpam-143	65	28	)	)	PUNCT
ejpam-143	65	29	(	(	PUNCT
ejpam-143	65	30	(	(	PUNCT
ejpam-143	65	31	s	s	NOUN
ejpam-143	65	32	)	)	PUNCT
ejpam-143	65	33	)	)	PUNCT
ejpam-143	65	34	(	(	PUNCT
ejpam-143	65	35	2cot	2cot	NUM
ejpam-143	65	36	2	2	NUM
ejpam-143	65	37	2	2	NUM
ejpam-143	65	38	svghiufsevghufcthhe	svghiufsevghufcthhe	NOUN
ejpam-143	65	39	isi	isi	PROPN
ejpam-143	65	40	αα	αα	PROPN
ejpam-143	65	41	π	π	PROPN
ejpam-143	65	42	φ	φ	PROPN
ejpam-143	65	43	αααφ	αααφ	PROPN
ejpam-143	65	44	φ	φ	PROPN
ejpam-143	65	45			NOUN
ejpam-143	65	46			PUNCT
ejpam-143	66	1			PROPN
ejpam-143	66	2			NOUN
ejpam-143	66	3			NOUN
ejpam-143	66	4			VERB
ejpam-143	66	5	−−	−−	PROPN
ejpam-143	66	6	−=	−=	PUNCT
ejpam-143	66	7	{	{	PUNCT
ejpam-143	66	8	}	}	PUNCT
ejpam-143	66	9	]	]	PUNCT
ejpam-143	66	10	)	)	PUNCT
ejpam-143	66	11	(	(	PUNCT
ejpam-143	66	12	)	)	PUNCT
ejpam-143	66	13	(	(	PUNCT
ejpam-143	66	14	sin	sin	NOUN
ejpam-143	66	15	svghi	svghi	PROPN
ejpam-143	66	16	−−	−−	PROPN
ejpam-143	66	17	αφ	αφ	PROPN
ejpam-143	66	18	,	,	PUNCT
ejpam-143	66	19	p.	p.	PROPN
ejpam-143	66	20	sontakke	sontakke	PROPN
ejpam-143	66	21	,	,	PUNCT
ejpam-143	66	22	a.	a.	NOUN
ejpam-143	66	23	gudadhe	gudadhe	PROPN
ejpam-143	66	24	/	/	SYM
ejpam-143	66	25	eur	eur	PROPN
ejpam-143	66	26	.	.	PUNCT
ejpam-143	67	1	j.	j.	PROPN
ejpam-143	67	2	pure	pure	PROPN
ejpam-143	67	3	appl	appl	PROPN
ejpam-143	67	4	.	.	PROPN
ejpam-143	67	5	math	math	PROPN
ejpam-143	67	6	,	,	PUNCT
ejpam-143	67	7	2	2	NUM
ejpam-143	67	8	(	(	PUNCT
ejpam-143	67	9	2009	2009	NUM
ejpam-143	67	10	)	)	PUNCT
ejpam-143	67	11	166	166	NUM
ejpam-143	67	12	where	where	SCONJ
ejpam-143	67	13	αc	αc	ADV
ejpam-143	67	14	and	and	CCONJ
ejpam-143	67	15	αs	αs	INTJ
ejpam-143	67	16	denote	denote	VERB
ejpam-143	67	17	fractional	fractional	ADJ
ejpam-143	67	18	cosine	cosine	NOUN
ejpam-143	67	19	and	and	CCONJ
ejpam-143	67	20	fractional	fractional	ADJ
ejpam-143	67	21	sine	sine	NOUN
ejpam-143	67	22	transform	transform	NOUN
ejpam-143	67	23	.	.	PUNCT
ejpam-143	68	1	using	use	VERB
ejpam-143	68	2	the	the	DET
ejpam-143	68	3	relation	relation	NOUN
ejpam-143	68	4	of	of	ADP
ejpam-143	68	5	fractional	fractional	ADJ
ejpam-143	68	6	cosine	cosine	NOUN
ejpam-143	68	7	transform	transform	NOUN
ejpam-143	68	8	and	and	CCONJ
ejpam-143	68	9	fractional	fractional	ADJ
ejpam-143	68	10	sine	sine	NOUN
ejpam-143	68	11	transform	transform	NOUN
ejpam-143	68	12	to	to	ADP
ejpam-143	68	13	fractional	fractional	ADJ
ejpam-143	68	14	hartley	hartley	PROPN
ejpam-143	68	15	transform	transform	NOUN
ejpam-143	68	16	,	,	PUNCT
ejpam-143	68	17	we	we	PRON
ejpam-143	68	18	get	get	VERB
ejpam-143	68	19	{	{	PUNCT
ejpam-143	68	20	}	}	PUNCT
ejpam-143	68	21	{	{	PUNCT
ejpam-143	68	22	}	}	PUNCT
ejpam-143	68	23	{	{	PUNCT
ejpam-143	68	24	}	}	PUNCT
ejpam-143	68	25	{	{	PUNCT
ejpam-143	68	26	}	}	PUNCT
ejpam-143	68	27	(	(	PUNCT
ejpam-143	68	28	)	)	PUNCT
ejpam-143	68	29	{	{	PUNCT
ejpam-143	68	30	}	}	PUNCT
ejpam-143	68	31	{	{	PUNCT
ejpam-143	68	32	}	}	PUNCT
ejpam-143	68	33	(	(	PUNCT
ejpam-143	68	34	)	)	PUNCT
ejpam-143	68	35	[	[	PUNCT
ejpam-143	68	36	]	]	X
ejpam-143	68	37	)	)	PUNCT
ejpam-143	68	38	(	(	PUNCT
ejpam-143	68	39	)	)	PUNCT
ejpam-143	68	40	(	(	PUNCT
ejpam-143	68	41	cos	cos	PROPN
ejpam-143	68	42	.	.	PROPN
ejpam-143	68	43	)	)	PUNCT
ejpam-143	68	44	(	(	PUNCT
ejpam-143	68	45	)	)	PUNCT
ejpam-143	68	46	(	(	PUNCT
ejpam-143	68	47	)	)	PUNCT
ejpam-143	68	48	(	(	PUNCT
ejpam-143	68	49	)	)	PUNCT
ejpam-143	68	50	(	(	PUNCT
ejpam-143	68	51	)	)	PUNCT
ejpam-143	68	52	(	(	PUNCT
ejpam-143	68	53	2	2	NUM
ejpam-143	68	54	cot	cot	NOUN
ejpam-143	68	55	2	2	NUM
ejpam-143	68	56	2	2	NUM
ejpam-143	68	57	ufhufheufhufhvghsthhe	ufhufheufhufhvghsthhe	NOUN
ejpam-143	69	1	i	i	PRON
ejpam-143	69	2	si	si	PROPN
ejpam-143	69	3	−++−−=	−++−−=	PROPN
ejpam-143	69	4	−	−	PROPN
ejpam-143	69	5	ααφααααφ	ααφααααφ	ADJ
ejpam-143	69	6	φ	φ	PROPN
ejpam-143	69	7	{	{	PUNCT
ejpam-143	69	8	}	}	PUNCT
ejpam-143	69	9	{	{	PUNCT
ejpam-143	69	10	}	}	PUNCT
ejpam-143	69	11	{	{	PUNCT
ejpam-143	69	12	}	}	PUNCT
ejpam-143	69	13	(	(	PUNCT
ejpam-143	69	14	)	)	PUNCT
ejpam-143	69	15	)	)	PUNCT
ejpam-143	69	16	(	(	PUNCT
ejpam-143	69	17	)	)	PUNCT
ejpam-143	69	18	(	(	PUNCT
ejpam-143	69	19	)	)	PUNCT
ejpam-143	69	20	(	(	PUNCT
ejpam-143	69	21	sin	sin	NOUN
ejpam-143	69	22	ufhufhvghe	ufhufhvghe	NOUN
ejpam-143	69	23	i	i	PRON
ejpam-143	69	24	αααφ	αααφ	VERB
ejpam-143	69	25	φ	φ	PROPN
ejpam-143	69	26	−−−+	−−−+	PROPN
ejpam-143	69	27	−	−	PROPN
ejpam-143	69	28	i.e.	i.e.	X
ejpam-143	69	29	{	{	PUNCT
ejpam-143	69	30	}	}	PUNCT
ejpam-143	69	31	{	{	PUNCT
ejpam-143	69	32	}	}	PUNCT
ejpam-143	69	33	{	{	PUNCT
ejpam-143	69	34	}	}	PUNCT
ejpam-143	69	35	{	{	PUNCT
ejpam-143	69	36	}	}	PUNCT
ejpam-143	69	37	(	(	PUNCT
ejpam-143	69	38	)	)	PUNCT
ejpam-143	69	39	[	[	PUNCT
ejpam-143	69	40	)	)	PUNCT
ejpam-143	69	41	(	(	PUNCT
ejpam-143	69	42	)	)	PUNCT
ejpam-143	69	43	(	(	PUNCT
ejpam-143	69	44	)	)	PUNCT
ejpam-143	69	45	(	(	PUNCT
ejpam-143	69	46	)	)	PUNCT
ejpam-143	69	47	(	(	PUNCT
ejpam-143	69	48	(	(	PUNCT
ejpam-143	69	49	s))((s	s))((s	INTJ
ejpam-143	69	50	)	)	PUNCT
ejpam-143	69	51	)	)	PUNCT
ejpam-143	69	52	(	(	PUNCT
ejpam-143	69	53	2	2	NUM
ejpam-143	69	54	cot	cot	NOUN
ejpam-143	69	55	2	2	NUM
ejpam-143	69	56	2	2	NUM
ejpam-143	69	57	stfhstfhtghthhe	stfhstfhtghthhe	NOUN
ejpam-143	69	58	si	si	PROPN
ejpam-143	69	59	−−=	−−=	PROPN
ejpam-143	69	60	ααααφ	ααααφ	PROPN
ejpam-143	69	61	{	{	PUNCT
ejpam-143	69	62	}	}	PUNCT
ejpam-143	69	63	{	{	PUNCT
ejpam-143	69	64	}	}	PUNCT
ejpam-143	69	65	(	(	PUNCT
ejpam-143	69	66	)	)	PUNCT
ejpam-143	69	67	]	]	X
ejpam-143	69	68	)	)	PUNCT
ejpam-143	69	69	(	(	PUNCT
ejpam-143	69	70	)	)	PUNCT
ejpam-143	69	71	(	(	PUNCT
ejpam-143	69	72	)	)	PUNCT
ejpam-143	69	73	(	(	PUNCT
ejpam-143	69	74	)	)	PUNCT
ejpam-143	69	75	(	(	PUNCT
ejpam-143	69	76	cos	cos	PROPN
ejpam-143	69	77	.	.	PROPN
ejpam-143	69	78	stfhstfhe	stfhstfhe	PROPN
ejpam-143	70	1	i	i	PRON
ejpam-143	70	2	−++	−++	ADP
ejpam-143	70	3	−	−	PROPN
ejpam-143	70	4	ααφ	ααφ	PROPN
ejpam-143	70	5	φ	φ	PROPN
ejpam-143	70	6	{	{	PUNCT
ejpam-143	70	7	}	}	PUNCT
ejpam-143	70	8	{	{	PUNCT
ejpam-143	70	9	}	}	PUNCT
ejpam-143	70	10	{	{	PUNCT
ejpam-143	70	11	}	}	PUNCT
ejpam-143	70	12	(	(	PUNCT
ejpam-143	70	13	)	)	PUNCT
ejpam-143	70	14	)	)	PUNCT
ejpam-143	70	15	(	(	PUNCT
ejpam-143	70	16	)	)	PUNCT
ejpam-143	70	17	(	(	PUNCT
ejpam-143	70	18	)	)	PUNCT
ejpam-143	70	19	(	(	PUNCT
ejpam-143	70	20	)	)	PUNCT
ejpam-143	70	21	(	(	PUNCT
ejpam-143	70	22	)	)	PUNCT
ejpam-143	70	23	(	(	PUNCT
ejpam-143	70	24	)	)	PUNCT
ejpam-143	70	25	(	(	PUNCT
ejpam-143	70	26	sin	sin	NOUN
ejpam-143	70	27	stfhstfhstghe	stfhstfhstghe	NOUN
ejpam-143	70	28	i	i	PRON
ejpam-143	70	29	αααφ	αααφ	VERB
ejpam-143	70	30	φ	φ	PROPN
ejpam-143	70	31	−−−+	−−−+	PROPN
ejpam-143	70	32	−	−	PROPN
ejpam-143	70	33	(	(	PUNCT
ejpam-143	70	34	3.1.1	3.1.1	NUM
ejpam-143	70	35	)	)	PUNCT
ejpam-143	70	36	3.2	3.2	NUM
ejpam-143	70	37	convolution	convolution	NOUN
ejpam-143	70	38	of	of	ADP
ejpam-143	70	39	various	various	ADJ
ejpam-143	70	40	combinations	combination	NOUN
ejpam-143	70	41	of	of	ADP
ejpam-143	70	42	even	even	ADV
ejpam-143	70	43	and	and	CCONJ
ejpam-143	70	44	odd	odd	ADJ
ejpam-143	70	45	functions	function	NOUN
ejpam-143	70	46	:	:	PUNCT
ejpam-143	70	47	next	next	ADV
ejpam-143	70	48	we	we	PRON
ejpam-143	70	49	consider	consider	VERB
ejpam-143	70	50	different	different	ADJ
ejpam-143	70	51	cases	case	NOUN
ejpam-143	70	52	of	of	ADP
ejpam-143	70	53	convolution	convolution	NOUN
ejpam-143	70	54	for	for	ADP
ejpam-143	70	55	even	even	ADV
ejpam-143	70	56	and	and	CCONJ
ejpam-143	70	57	odd	odd	ADJ
ejpam-143	70	58	functions	function	NOUN
ejpam-143	70	59	.	.	PUNCT
ejpam-143	71	1	case	case	NOUN
ejpam-143	72	1	i	i	PRON
ejpam-143	72	2	:	:	PUNCT
ejpam-143	72	3	if	if	SCONJ
ejpam-143	72	4	the	the	DET
ejpam-143	72	5	function	function	NOUN
ejpam-143	72	6	f	f	PROPN
ejpam-143	72	7	and	and	CCONJ
ejpam-143	72	8	g	g	PROPN
ejpam-143	72	9	both	both	PRON
ejpam-143	72	10	are	be	AUX
ejpam-143	72	11	odd	odd	ADJ
ejpam-143	72	12	functions	function	NOUN
ejpam-143	72	13	,	,	PUNCT
ejpam-143	72	14	i.e.	i.e.	X
ejpam-143	72	15	)	)	PUNCT
ejpam-143	72	16	(	(	PUNCT
ejpam-143	72	17	)	)	PUNCT
ejpam-143	72	18	(	(	PUNCT
ejpam-143	72	19	tftf	tftf	NOUN
ejpam-143	72	20	−=−	−=−	NUM
ejpam-143	72	21	and	and	CCONJ
ejpam-143	72	22	)	)	PUNCT
ejpam-143	72	23	(	(	PUNCT
ejpam-143	72	24	)	)	PUNCT
ejpam-143	72	25	(	(	PUNCT
ejpam-143	72	26	tgtg	tgtg	NOUN
ejpam-143	72	27	−=−	−=−	NOUN
ejpam-143	72	28	then	then	ADV
ejpam-143	72	29	{	{	PUNCT
ejpam-143	72	30	}	}	PUNCT
ejpam-143	72	31	{	{	PUNCT
ejpam-143	72	32	}	}	PUNCT
ejpam-143	72	33	(	(	PUNCT
ejpam-143	72	34	)	)	PUNCT
ejpam-143	72	35	{	{	PUNCT
ejpam-143	72	36	}	}	PUNCT
ejpam-143	72	37	{	{	PUNCT
ejpam-143	72	38	}	}	PUNCT
ejpam-143	72	39	)	)	PUNCT
ejpam-143	72	40	.	.	PUNCT
ejpam-143	73	1	(	(	PUNCT
ejpam-143	73	2	)	)	PUNCT
ejpam-143	73	3	(	(	PUNCT
ejpam-143	73	4	)	)	PUNCT
ejpam-143	73	5	(	(	PUNCT
ejpam-143	73	6	)	)	PUNCT
ejpam-143	73	7	(	(	PUNCT
ejpam-143	73	8	sin1	sin1	PROPN
ejpam-143	73	9	)	)	PUNCT
ejpam-143	73	10	(	(	PUNCT
ejpam-143	73	11	)	)	PUNCT
ejpam-143	73	12	(	(	PUNCT
ejpam-143	73	13	)	)	PUNCT
ejpam-143	73	14	(	(	PUNCT
ejpam-143	73	15	cot	cot	NOUN
ejpam-143	73	16	2	2	NUM
ejpam-143	73	17	2	2	NUM
ejpam-143	73	18	stghstfheesgfhsthh	stghstfheesgfhsthh	NOUN
ejpam-143	73	19	sii	sii	PROPN
ejpam-143	73	20	ααφφαα	ααφφαα	NOUN
ejpam-143	73	21	φ	φ	NOUN
ejpam-143	73	22	−	−	PROPN
ejpam-143	74	1	+	+	NOUN
ejpam-143	74	2	=	=	NOUN
ejpam-143	74	3	∗=	∗=	ADJ
ejpam-143	74	4	case	case	NOUN
ejpam-143	74	5	ii	ii	PROPN
ejpam-143	74	6	:	:	PUNCT
ejpam-143	74	7	if	if	SCONJ
ejpam-143	74	8	the	the	DET
ejpam-143	74	9	function	function	NOUN
ejpam-143	74	10	f	f	PROPN
ejpam-143	74	11	and	and	CCONJ
ejpam-143	74	12	g	g	PROPN
ejpam-143	74	13	both	both	PRON
ejpam-143	74	14	are	be	AUX
ejpam-143	74	15	even	even	ADV
ejpam-143	74	16	function	function	NOUN
ejpam-143	74	17	i.e.	i.e.	X
ejpam-143	74	18	)	)	PUNCT
ejpam-143	74	19	(	(	PUNCT
ejpam-143	74	20	)	)	PUNCT
ejpam-143	74	21	(	(	PUNCT
ejpam-143	74	22	tftf	tftf	NOUN
ejpam-143	74	23	=	=	NOUN
ejpam-143	74	24	−	−	PROPN
ejpam-143	74	25	and	and	CCONJ
ejpam-143	74	26	)	)	PUNCT
ejpam-143	74	27	(	(	PUNCT
ejpam-143	74	28	)	)	PUNCT
ejpam-143	74	29	(	(	PUNCT
ejpam-143	74	30	tgtg	tgtg	NOUN
ejpam-143	74	31	=	=	NOUN
ejpam-143	74	32	−	−	PROPN
ejpam-143	74	33	then	then	ADV
ejpam-143	74	34	{	{	PUNCT
ejpam-143	74	35	}	}	PUNCT
ejpam-143	74	36	{	{	PUNCT
ejpam-143	74	37	}	}	PUNCT
ejpam-143	74	38	{	{	PUNCT
ejpam-143	74	39	}	}	PUNCT
ejpam-143	74	40	{	{	PUNCT
ejpam-143	74	41	}	}	PUNCT
ejpam-143	74	42	)	)	PUNCT
ejpam-143	74	43	(	(	PUNCT
ejpam-143	74	44	)	)	PUNCT
ejpam-143	74	45	(	(	PUNCT
ejpam-143	74	46	)	)	PUNCT
ejpam-143	74	47	.()(	.()(	PROPN
ejpam-143	74	48	..	..	PUNCT
ejpam-143	74	49	cos	cos	PROPN
ejpam-143	74	50	)	)	PUNCT
ejpam-143	74	51	(	(	PUNCT
ejpam-143	74	52	)	)	PUNCT
ejpam-143	74	53	(	(	PUNCT
ejpam-143	74	54	)	)	PUNCT
ejpam-143	74	55	(	(	PUNCT
ejpam-143	74	56	cot	cot	NOUN
ejpam-143	74	57	2	2	NUM
ejpam-143	74	58	2	2	NUM
ejpam-143	74	59	stghstfheesgfhsthh	stghstfheesgfhsthh	NOUN
ejpam-143	74	60	sii	sii	PROPN
ejpam-143	74	61	ααφφαα	ααφφαα	PROPN
ejpam-143	74	62	φ	φ	PROPN
ejpam-143	74	63	−−=∗=	−−=∗=	PROPN
ejpam-143	74	64	{	{	PUNCT
ejpam-143	74	65	}	}	PUNCT
ejpam-143	74	66	{	{	PUNCT
ejpam-143	74	67	}	}	PUNCT
ejpam-143	74	68	)	)	PUNCT
ejpam-143	74	69	.()().()(.cos	.()().()(.co	NOUN
ejpam-143	74	70	cot	cot	NOUN
ejpam-143	74	71	2	2	NUM
ejpam-143	74	72	2	2	NUM
ejpam-143	74	73	stghstfhe	stghstfhe	NOUN
ejpam-143	74	74	si	si	X
ejpam-143	74	75	αα	αα	PROPN
ejpam-143	74	76	φφ	φφ	ADP
ejpam-143	74	77	φ	φ	PROPN
ejpam-143	74	78			NOUN
ejpam-143	74	79			NOUN
ejpam-143	74	80			PUNCT
ejpam-143	75	1			PROPN
ejpam-143	75	2			PROPN
ejpam-143	75	3			NOUN
ejpam-143	75	4			NOUN
ejpam-143	75	5			VERB
ejpam-143	75	6	+	+	NOUN
ejpam-143	75	7	−	−	NOUN
ejpam-143	75	8	=	=	SYM
ejpam-143	75	9	case	case	NOUN
ejpam-143	75	10	iii	iii	NOUN
ejpam-143	75	11	:	:	PUNCT
ejpam-143	75	12	if	if	SCONJ
ejpam-143	75	13	f	f	PROPN
ejpam-143	75	14	is	be	AUX
ejpam-143	75	15	even	even	ADV
ejpam-143	75	16	,	,	PUNCT
ejpam-143	75	17	g	g	PROPN
ejpam-143	75	18	is	be	AUX
ejpam-143	75	19	odd	odd	ADJ
ejpam-143	75	20	then	then	ADV
ejpam-143	75	21	{	{	PUNCT
ejpam-143	75	22	}	}	PUNCT
ejpam-143	75	23	{	{	PUNCT
ejpam-143	75	24	}	}	PUNCT
ejpam-143	75	25	{	{	PUNCT
ejpam-143	75	26	}	}	PUNCT
ejpam-143	75	27	{	{	PUNCT
ejpam-143	75	28	}	}	PUNCT
ejpam-143	75	29	)	)	PUNCT
ejpam-143	75	30	.()().()(.cos	.()().()(.co	NOUN
ejpam-143	75	31	)	)	PUNCT
ejpam-143	75	32	(	(	PUNCT
ejpam-143	75	33	)	)	PUNCT
ejpam-143	75	34	(	(	PUNCT
ejpam-143	75	35	)	)	PUNCT
ejpam-143	75	36	(	(	PUNCT
ejpam-143	75	37	cot	cot	NOUN
ejpam-143	75	38	2	2	NUM
ejpam-143	75	39	2	2	NUM
ejpam-143	75	40	stghstfhesthhsgfh	stghstfhesthhsgfh	VERB
ejpam-143	75	41	si	si	PROPN
ejpam-143	75	42	αα	αα	ADP
ejpam-143	75	43	φφ	φφ	ADP
ejpam-143	75	44	αα	αα	PROPN
ejpam-143	75	45	φ	φ	PROPN
ejpam-143	75	46			NOUN
ejpam-143	75	47			NOUN
ejpam-143	75	48			PUNCT
ejpam-143	76	1			PROPN
ejpam-143	76	2			PROPN
ejpam-143	76	3			NOUN
ejpam-143	76	4			NOUN
ejpam-143	76	5			VERB
ejpam-143	76	6	+	+	NOUN
ejpam-143	76	7	−	−	VERB
ejpam-143	76	8	=	=	ADJ
ejpam-143	76	9	=	=	NOUN
ejpam-143	76	10	∗	∗	NOUN
ejpam-143	76	11	case	case	NOUN
ejpam-143	76	12	iv	iv	X
ejpam-143	76	13	:	:	PUNCT
ejpam-143	76	14	if	if	SCONJ
ejpam-143	76	15	f	f	PROPN
ejpam-143	76	16	is	be	AUX
ejpam-143	76	17	odd	odd	ADJ
ejpam-143	76	18	,	,	PUNCT
ejpam-143	76	19	g	g	PROPN
ejpam-143	76	20	is	be	AUX
ejpam-143	76	21	even	even	ADV
ejpam-143	76	22	then	then	ADV
ejpam-143	76	23	{	{	PUNCT
ejpam-143	76	24	}	}	PUNCT
ejpam-143	76	25	{	{	PUNCT
ejpam-143	76	26	}	}	PUNCT
ejpam-143	76	27	(	(	PUNCT
ejpam-143	76	28	)	)	PUNCT
ejpam-143	76	29	{	{	PUNCT
ejpam-143	76	30	}	}	PUNCT
ejpam-143	76	31	{	{	PUNCT
ejpam-143	76	32	}	}	PUNCT
ejpam-143	76	33	)	)	PUNCT
ejpam-143	76	34	.	.	PUNCT
ejpam-143	77	1	(	(	PUNCT
ejpam-143	77	2	)	)	PUNCT
ejpam-143	77	3	(	(	PUNCT
ejpam-143	77	4	)	)	PUNCT
ejpam-143	77	5	(	(	PUNCT
ejpam-143	77	6	)	)	PUNCT
ejpam-143	77	7	(	(	PUNCT
ejpam-143	77	8	sin1	sin1	PROPN
ejpam-143	77	9	)	)	PUNCT
ejpam-143	77	10	(	(	PUNCT
ejpam-143	77	11	)	)	PUNCT
ejpam-143	77	12	(	(	PUNCT
ejpam-143	77	13	)	)	PUNCT
ejpam-143	77	14	(	(	PUNCT
ejpam-143	77	15	cot	cot	NOUN
ejpam-143	77	16	2	2	NUM
ejpam-143	77	17	2	2	NUM
ejpam-143	77	18	stfhstgheesgfhsthh	stfhstgheesgfhsthh	NOUN
ejpam-143	77	19	sii	sii	PROPN
ejpam-143	77	20	ααφφαα	ααφφαα	PROPN
ejpam-143	77	21	φ	φ	PROPN
ejpam-143	77	22	−−−=∗=	−−−=∗=	PROPN
ejpam-143	77	23	p.	p.	PROPN
ejpam-143	77	24	sontakke	sontakke	PROPN
ejpam-143	77	25	,	,	PUNCT
ejpam-143	77	26	a.	a.	NOUN
ejpam-143	77	27	gudadhe	gudadhe	PROPN
ejpam-143	77	28	/	/	SYM
ejpam-143	77	29	eur	eur	PROPN
ejpam-143	77	30	.	.	PUNCT
ejpam-143	78	1	j.	j.	PROPN
ejpam-143	78	2	pure	pure	PROPN
ejpam-143	78	3	appl	appl	PROPN
ejpam-143	78	4	.	.	PROPN
ejpam-143	78	5	math	math	PROPN
ejpam-143	78	6	,	,	PUNCT
ejpam-143	78	7	2	2	NUM
ejpam-143	78	8	(	(	PUNCT
ejpam-143	78	9	2009	2009	NUM
ejpam-143	78	10	)	)	PUNCT
ejpam-143	78	11	167	167	NUM
ejpam-143	78	12	case	case	NOUN
ejpam-143	78	13	v	v	ADP
ejpam-143	78	14	:	:	PUNCT
ejpam-143	78	15	if	if	SCONJ
ejpam-143	78	16	f	f	PROPN
ejpam-143	78	17	is	be	AUX
ejpam-143	78	18	even	even	ADV
ejpam-143	78	19	function	function	NOUN
ejpam-143	78	20	and	and	CCONJ
ejpam-143	78	21	g	g	ADP
ejpam-143	78	22	any	any	DET
ejpam-143	78	23	function	function	NOUN
ejpam-143	78	24	then	then	ADV
ejpam-143	78	25	,	,	PUNCT
ejpam-143	78	26	{	{	PUNCT
ejpam-143	78	27	}	}	PUNCT
ejpam-143	78	28	{	{	PUNCT
ejpam-143	78	29	}	}	PUNCT
ejpam-143	78	30	{	{	PUNCT
ejpam-143	78	31	}	}	PUNCT
ejpam-143	78	32	{	{	PUNCT
ejpam-143	78	33	}	}	PUNCT
ejpam-143	78	34	)	)	PUNCT
ejpam-143	78	35	.	.	PUNCT
ejpam-143	79	1	(	(	PUNCT
ejpam-143	79	2	)	)	PUNCT
ejpam-143	79	3	(	(	PUNCT
ejpam-143	79	4	)	)	PUNCT
ejpam-143	79	5	.	.	PUNCT
ejpam-143	80	1	(	(	PUNCT
ejpam-143	80	2	)	)	PUNCT
ejpam-143	80	3	(	(	PUNCT
ejpam-143	80	4	.cos	.cos	PROPN
ejpam-143	80	5	)	)	PUNCT
ejpam-143	80	6	(	(	PUNCT
ejpam-143	80	7	)	)	PUNCT
ejpam-143	80	8	(	(	PUNCT
ejpam-143	80	9	)	)	PUNCT
ejpam-143	80	10	(	(	PUNCT
ejpam-143	80	11	cot	cot	NOUN
ejpam-143	80	12	2	2	NUM
ejpam-143	80	13	2	2	NUM
ejpam-143	80	14	stghstfhesgfhsthh	stghstfhesgfhsthh	NOUN
ejpam-143	80	15	si	si	X
ejpam-143	80	16	αα	αα	NOUN
ejpam-143	80	17	φφ	φφ	ADP
ejpam-143	80	18	αα	αα	PROPN
ejpam-143	80	19	φ	φ	PROPN
ejpam-143	80	20			NOUN
ejpam-143	80	21			NOUN
ejpam-143	80	22			PUNCT
ejpam-143	81	1			PROPN
ejpam-143	81	2			PROPN
ejpam-143	81	3			NOUN
ejpam-143	81	4			NOUN
ejpam-143	81	5			VERB
ejpam-143	81	6	+	+	ADJ
ejpam-143	81	7	−	−	VERB
ejpam-143	81	8	=	=	SYM
ejpam-143	81	9	∗=	∗=	NOUN
ejpam-143	81	10	case	case	NOUN
ejpam-143	81	11	vi	vi	PROPN
ejpam-143	81	12	:	:	PUNCT
ejpam-143	81	13	if	if	SCONJ
ejpam-143	81	14	f	f	PROPN
ejpam-143	81	15	is	be	AUX
ejpam-143	81	16	odd	odd	ADJ
ejpam-143	81	17	function	function	NOUN
ejpam-143	81	18	and	and	CCONJ
ejpam-143	81	19	g	g	ADP
ejpam-143	81	20	any	any	DET
ejpam-143	81	21	function	function	NOUN
ejpam-143	81	22	then	then	ADV
ejpam-143	81	23	,	,	PUNCT
ejpam-143	81	24	{	{	PUNCT
ejpam-143	81	25	}	}	PUNCT
ejpam-143	81	26	{	{	PUNCT
ejpam-143	81	27	}	}	PUNCT
ejpam-143	81	28	{	{	PUNCT
ejpam-143	81	29	}	}	PUNCT
ejpam-143	81	30	)	)	PUNCT
ejpam-143	81	31	(	(	PUNCT
ejpam-143	81	32	)	)	PUNCT
ejpam-143	81	33	(	(	PUNCT
ejpam-143	81	34	)	)	PUNCT
ejpam-143	81	35	(	(	PUNCT
ejpam-143	81	36	)	)	PUNCT
ejpam-143	81	37	(	(	PUNCT
ejpam-143	81	38	)	)	PUNCT
ejpam-143	81	39	(	(	PUNCT
ejpam-143	81	40	cot	cot	NOUN
ejpam-143	81	41	2	2	NUM
ejpam-143	81	42	2	2	NUM
ejpam-143	81	43	stfhesgfhsthh	stfhesgfhsthh	NOUN
ejpam-143	81	44	si	si	X
ejpam-143	81	45	αφαα	αφαα	NOUN
ejpam-143	81	46	−	−	PROPN
ejpam-143	82	1	=	=	SYM
ejpam-143	82	2	∗=	∗=	NOUN
ejpam-143	82	3	{	{	PUNCT
ejpam-143	82	4	}	}	PUNCT
ejpam-143	82	5	{	{	PUNCT
ejpam-143	82	6	}	}	PUNCT
ejpam-143	82	7	(	(	PUNCT
ejpam-143	82	8	)	)	PUNCT
ejpam-143	82	9	.	.	PUNCT
ejpam-143	82	10	)	)	PUNCT
ejpam-143	82	11	(	(	PUNCT
ejpam-143	82	12	)	)	PUNCT
ejpam-143	82	13	(	(	PUNCT
ejpam-143	82	14	sin	sin	NOUN
ejpam-143	82	15	)	)	PUNCT
ejpam-143	82	16	(	(	PUNCT
ejpam-143	82	17	)	)	PUNCT
ejpam-143	82	18	(	(	PUNCT
ejpam-143	82	19	stghestgh	stghestgh	NOUN
ejpam-143	82	20	i	i	PRON
ejpam-143	82	21	−−	−−	VERB
ejpam-143	82	22	−	−	PROPN
ejpam-143	82	23	αφα	αφα	NUM
ejpam-143	82	24	φ	φ	PROPN
ejpam-143	82	25	case	case	NOUN
ejpam-143	82	26	vii	vii	PROPN
ejpam-143	82	27	:	:	PUNCT
ejpam-143	82	28	if	if	SCONJ
ejpam-143	82	29	f	f	PROPN
ejpam-143	82	30	is	be	AUX
ejpam-143	82	31	any	any	DET
ejpam-143	82	32	function	function	NOUN
ejpam-143	82	33	and	and	CCONJ
ejpam-143	82	34	g	g	PROPN
ejpam-143	82	35	even	even	ADV
ejpam-143	82	36	function	function	VERB
ejpam-143	82	37	then	then	ADV
ejpam-143	82	38	,	,	PUNCT
ejpam-143	82	39	{	{	PUNCT
ejpam-143	82	40	}	}	PUNCT
ejpam-143	82	41	{	{	PUNCT
ejpam-143	82	42	}	}	PUNCT
ejpam-143	82	43	)	)	PUNCT
ejpam-143	82	44	(	(	PUNCT
ejpam-143	82	45	)	)	PUNCT
ejpam-143	82	46	(	(	PUNCT
ejpam-143	82	47	)	)	PUNCT
ejpam-143	82	48	(	(	PUNCT
ejpam-143	82	49	2	2	NUM
ejpam-143	82	50	cot	cot	NOUN
ejpam-143	82	51	2	2	NUM
ejpam-143	82	52	2	2	NUM
ejpam-143	82	53	sgfhsthhe	sgfhsthhe	NOUN
ejpam-143	82	54	si	si	PROPN
ejpam-143	82	55	∗=	∗=	PROPN
ejpam-143	82	56	ααφ	ααφ	NOUN
ejpam-143	82	57	{	{	PUNCT
ejpam-143	82	58	}	}	PUNCT
ejpam-143	82	59	{	{	PUNCT
ejpam-143	82	60	}	}	PUNCT
ejpam-143	82	61	(	(	PUNCT
ejpam-143	82	62	)	)	PUNCT
ejpam-143	82	63	{	{	PUNCT
ejpam-143	82	64	}	}	PUNCT
ejpam-143	82	65	(	(	PUNCT
ejpam-143	82	66	)	)	PUNCT
ejpam-143	82	67	[	[	PUNCT
ejpam-143	82	68	]	]	X
ejpam-143	82	69	.1)sin(cos)()()sin(cos1	.1)sin(cos)()()sin(cos1	ADJ
ejpam-143	82	70	)	)	PUNCT
ejpam-143	82	71	(	(	PUNCT
ejpam-143	82	72	)	)	PUNCT
ejpam-143	82	73	(	(	PUNCT
ejpam-143	82	74	)	)	PUNCT
ejpam-143	82	75	(	(	PUNCT
ejpam-143	82	76	)	)	PUNCT
ejpam-143	82	77	(	(	PUNCT
ejpam-143	82	78	−+−+−+=	−+−+−+=	ADJ
ejpam-143	82	79	−−	−−	NOUN
ejpam-143	82	80	φφφφ	φφφφ	PROPN
ejpam-143	82	81	φαφαα	φαφαα	PROPN
ejpam-143	82	82	ii	ii	PROPN
ejpam-143	82	83	estfhestfhstgh	estfhestfhstgh	PROPN
ejpam-143	82	84	case	case	NOUN
ejpam-143	82	85	viii	viii	VERB
ejpam-143	82	86	:	:	PUNCT
ejpam-143	82	87	if	if	SCONJ
ejpam-143	82	88	f	f	PROPN
ejpam-143	82	89	is	be	AUX
ejpam-143	82	90	any	any	DET
ejpam-143	82	91	function	function	NOUN
ejpam-143	82	92	and	and	CCONJ
ejpam-143	82	93	g	g	NOUN
ejpam-143	82	94	is	be	AUX
ejpam-143	82	95	odd	odd	ADJ
ejpam-143	82	96	function	function	NOUN
ejpam-143	82	97	then	then	ADV
ejpam-143	82	98	,	,	PUNCT
ejpam-143	82	99	{	{	PUNCT
ejpam-143	82	100	}	}	PUNCT
ejpam-143	82	101	{	{	PUNCT
ejpam-143	82	102	}	}	PUNCT
ejpam-143	82	103	{	{	PUNCT
ejpam-143	82	104	}	}	PUNCT
ejpam-143	82	105	(	(	PUNCT
ejpam-143	82	106	)	)	PUNCT
ejpam-143	82	107	[	[	PUNCT
ejpam-143	82	108	)	)	PUNCT
ejpam-143	82	109	cos(sin1	cos(sin1	PROPN
ejpam-143	82	110	)	)	PUNCT
ejpam-143	82	111	(	(	PUNCT
ejpam-143	82	112	)	)	PUNCT
ejpam-143	82	113	(	(	PUNCT
ejpam-143	82	114	)	)	PUNCT
ejpam-143	82	115	(	(	PUNCT
ejpam-143	82	116	)	)	PUNCT
ejpam-143	82	117	(	(	PUNCT
ejpam-143	82	118	)	)	PUNCT
ejpam-143	82	119	(	(	PUNCT
ejpam-143	82	120	)	)	PUNCT
ejpam-143	82	121	(	(	PUNCT
ejpam-143	82	122	2	2	NUM
ejpam-143	82	123	cot	cot	NOUN
ejpam-143	82	124	2	2	NUM
ejpam-143	82	125	2	2	NUM
ejpam-143	82	126	φφφαααφ	φφφαααφ	NOUN
ejpam-143	82	127	+	+	PROPN
ejpam-143	82	128	+	+	NOUN
ejpam-143	82	129	=	=	ADJ
ejpam-143	82	130	−i	−i	ADJ
ejpam-143	82	131	si	si	PROPN
ejpam-143	82	132	estfhstghsthhe	estfhstghsthhe	X
ejpam-143	82	133	{	{	PUNCT
ejpam-143	82	134	}	}	PUNCT
ejpam-143	82	135	(	(	PUNCT
ejpam-143	82	136	)	)	PUNCT
ejpam-143	82	137	]	]	PUNCT
ejpam-143	82	138	.)cos(sin1	.)cos(sin1	PUNCT
ejpam-143	82	139	)	)	PUNCT
ejpam-143	83	1	(	(	PUNCT
ejpam-143	83	2	)	)	PUNCT
ejpam-143	83	3	(	(	PUNCT
ejpam-143	83	4	φφφα	φφφα	NOUN
ejpam-143	83	5	−+−−	−+−−	NOUN
ejpam-143	83	6	−iestfh	−iestfh	NOUN
ejpam-143	83	7	4	4	NUM
ejpam-143	83	8	.	.	X
ejpam-143	83	9	modulation	modulation	NOUN
ejpam-143	83	10	theorem	theorem	VERB
ejpam-143	83	11	for	for	ADP
ejpam-143	83	12	fractional	fractional	PROPN
ejpam-143	83	13	hartley	hartley	PROPN
ejpam-143	83	14	transform	transform	VERB
ejpam-143	83	15	4.1	4.1	NUM
ejpam-143	83	16	if	if	SCONJ
ejpam-143	83	17	{	{	PUNCT
ejpam-143	83	18	}	}	PUNCT
ejpam-143	83	19	)	)	PUNCT
ejpam-143	83	20	(	(	PUNCT
ejpam-143	83	21	)	)	PUNCT
ejpam-143	83	22	(	(	PUNCT
ejpam-143	83	23	stfh	stfh	PROPN
ejpam-143	83	24	α	α	PROPN
ejpam-143	83	25	is	be	AUX
ejpam-143	83	26	fractional	fractional	ADJ
ejpam-143	83	27	hartley	hartley	NOUN
ejpam-143	83	28	transform	transform	NOUN
ejpam-143	83	29	of	of	ADP
ejpam-143	83	30	)	)	PUNCT
ejpam-143	83	31	(	(	PUNCT
ejpam-143	83	32	tf	tf	INTJ
ejpam-143	83	33	then	then	ADV
ejpam-143	83	34	{	{	PUNCT
ejpam-143	83	35	}	}	PUNCT
ejpam-143	83	36	{	{	PUNCT
ejpam-143	83	37	{	{	PUNCT
ejpam-143	83	38	}	}	PUNCT
ejpam-143	83	39	)	)	PUNCT
ejpam-143	83	40	sin	sin	NOUN
ejpam-143	83	41	(	(	PUNCT
ejpam-143	83	42	)	)	PUNCT
ejpam-143	83	43	(	(	PUNCT
ejpam-143	83	44	2	2	NUM
ejpam-143	83	45	1	1	NUM
ejpam-143	83	46	)	)	PUNCT
ejpam-143	83	47	(	(	PUNCT
ejpam-143	83	48	cos	cos	PROPN
ejpam-143	83	49	)	)	PUNCT
ejpam-143	83	50	(	(	PUNCT
ejpam-143	83	51	cos2sin	cos2sin	VERB
ejpam-143	83	52	4	4	NUM
ejpam-143	83	53	2	2	NUM
ejpam-143	83	54	φαφφα	φαφφα	ADJ
ejpam-143	83	55	ustfheesuttfh	ustfheesuttfh	NOUN
ejpam-143	83	56	isu	isu	PROPN
ejpam-143	83	57	ui	ui	PROPN
ejpam-143	84	1	+	+	NOUN
ejpam-143	84	2	=	=	NOUN
ejpam-143	84	3	−−	−−	NOUN
ejpam-143	84	4	{	{	PUNCT
ejpam-143	84	5	}	}	PUNCT
ejpam-143	84	6	}	}	PUNCT
ejpam-143	84	7	.)sin()(cos	.)sin()(co	NOUN
ejpam-143	84	8	φαφ	φαφ	X
ejpam-143	84	9	ustfheisu	ustfheisu	PROPN
ejpam-143	84	10	−+	−+	PROPN
ejpam-143	84	11	proof	proof	NOUN
ejpam-143	84	12	:	:	PUNCT
ejpam-143	84	13	using	use	VERB
ejpam-143	84	14	the	the	DET
ejpam-143	84	15	definition	definition	NOUN
ejpam-143	84	16	of	of	ADP
ejpam-143	84	17	fractional	fractional	PROPN
ejpam-143	84	18	hartley	hartley	PROPN
ejpam-143	84	19	transform	transform	NOUN
ejpam-143	84	20	{	{	PUNCT
ejpam-143	84	21	}	}	PUNCT
ejpam-143	84	22	[	[	PUNCT
ejpam-143	84	23	]	]	X
ejpam-143	84	24	)	)	PUNCT
ejpam-143	84	25	.sin(csc).cos(csc	.sin(csc).cos(csc	PROPN
ejpam-143	84	26	2	2	NUM
ejpam-143	84	27	cot1	cot1	PROPN
ejpam-143	84	28	)	)	PUNCT
ejpam-143	84	29	(	(	PUNCT
ejpam-143	84	30	cos	cos	PROPN
ejpam-143	84	31	)	)	PUNCT
ejpam-143	84	32	(	(	PUNCT
ejpam-143	84	33	cot	cot	NOUN
ejpam-143	84	34	2	2	NUM
ejpam-143	84	35	cot	cot	NOUN
ejpam-143	84	36	2	2	NUM
ejpam-143	84	37	22	22	NUM
ejpam-143	84	38	stiesteeisuttfh	stiesteeisuttfh	NOUN
ejpam-143	84	39	i	i	PRON
ejpam-143	84	40	tisi	tisi	VERB
ejpam-143	84	41	φφ	φφ	PROPN
ejpam-143	84	42	π	π	PROPN
ejpam-143	84	43	φ	φ	X
ejpam-143	84	44	φφφα	φφφα	NOUN
ejpam-143	85	1	−	−	PROPN
ejpam-143	85	2	−	−	PROPN
ejpam-143	85	3	=	=	SYM
ejpam-143	85	4	∫	∫	PROPN
ejpam-143	85	5	∞	∞	NUM
ejpam-143	85	6	∞−	∞−	PROPN
ejpam-143	85	7	,	,	PUNCT
ejpam-143	85	8	cos	cos	PROPN
ejpam-143	85	9	)	)	PUNCT
ejpam-143	85	10	(	(	PUNCT
ejpam-143	85	11	.	.	PUNCT
ejpam-143	86	1	utdttf	utdttf	PROPN
ejpam-143	86	2	p.	p.	PROPN
ejpam-143	86	3	sontakke	sontakke	PROPN
ejpam-143	86	4	,	,	PUNCT
ejpam-143	86	5	a.	a.	NOUN
ejpam-143	86	6	gudadhe	gudadhe	PROPN
ejpam-143	86	7	/	/	SYM
ejpam-143	86	8	eur	eur	PROPN
ejpam-143	86	9	.	.	PUNCT
ejpam-143	87	1	j.	j.	PROPN
ejpam-143	87	2	pure	pure	PROPN
ejpam-143	87	3	appl	appl	PROPN
ejpam-143	87	4	.	.	PROPN
ejpam-143	87	5	math	math	PROPN
ejpam-143	87	6	,	,	PUNCT
ejpam-143	87	7	2	2	NUM
ejpam-143	87	8	(	(	PUNCT
ejpam-143	87	9	2009	2009	NUM
ejpam-143	87	10	)	)	PUNCT
ejpam-143	87	11	168	168	NUM
ejpam-143	87	12	by	by	ADP
ejpam-143	87	13	solving	solve	VERB
ejpam-143	87	14	,	,	PUNCT
ejpam-143	87	15	we	we	PRON
ejpam-143	87	16	get	get	VERB
ejpam-143	87	17	{	{	PUNCT
ejpam-143	87	18	}	}	PUNCT
ejpam-143	87	19	{	{	PUNCT
ejpam-143	87	20	{	{	PUNCT
ejpam-143	87	21	}	}	PUNCT
ejpam-143	87	22	)	)	PUNCT
ejpam-143	87	23	sin	sin	NOUN
ejpam-143	87	24	(	(	PUNCT
ejpam-143	87	25	)	)	PUNCT
ejpam-143	87	26	(	(	PUNCT
ejpam-143	87	27	2	2	NUM
ejpam-143	87	28	1	1	NUM
ejpam-143	87	29	)	)	PUNCT
ejpam-143	87	30	(	(	PUNCT
ejpam-143	87	31	cos	cos	PROPN
ejpam-143	87	32	)	)	PUNCT
ejpam-143	87	33	(	(	PUNCT
ejpam-143	87	34	cos2sin	cos2sin	VERB
ejpam-143	87	35	4	4	NUM
ejpam-143	87	36	2	2	NUM
ejpam-143	87	37	φαφφα	φαφφα	ADJ
ejpam-143	87	38	ustfheesuttfh	ustfheesuttfh	NOUN
ejpam-143	87	39	isu	isu	PROPN
ejpam-143	87	40	ui	ui	PROPN
ejpam-143	88	1	+	+	NOUN
ejpam-143	88	2	=	=	NOUN
ejpam-143	88	3	−−	−−	NOUN
ejpam-143	88	4	{	{	PUNCT
ejpam-143	88	5	}	}	PUNCT
ejpam-143	88	6	}	}	PUNCT
ejpam-143	88	7	.)sin()(cos	.)sin()(cos	X
ejpam-143	88	8	φαφ	φαφ	X
ejpam-143	88	9	ustfheisu	ustfheisu	PROPN
ejpam-143	88	10	−+	−+	PROPN
ejpam-143	88	11	(	(	PUNCT
ejpam-143	88	12	4.1.1	4.1.1	NUM
ejpam-143	88	13	)	)	PUNCT
ejpam-143	88	14	4.2	4.2	NUM
ejpam-143	88	15	if	if	SCONJ
ejpam-143	88	16	{	{	PUNCT
ejpam-143	88	17	}	}	PUNCT
ejpam-143	88	18	)	)	PUNCT
ejpam-143	88	19	(	(	PUNCT
ejpam-143	88	20	)	)	PUNCT
ejpam-143	88	21	(	(	PUNCT
ejpam-143	88	22	stfh	stfh	PROPN
ejpam-143	88	23	α	α	PROPN
ejpam-143	88	24	is	be	AUX
ejpam-143	88	25	fractional	fractional	ADJ
ejpam-143	88	26	hartley	hartley	NOUN
ejpam-143	88	27	transform	transform	NOUN
ejpam-143	88	28	of	of	ADP
ejpam-143	88	29	)	)	PUNCT
ejpam-143	88	30	(	(	PUNCT
ejpam-143	88	31	tf	tf	INTJ
ejpam-143	88	32	,	,	PUNCT
ejpam-143	88	33	then	then	ADV
ejpam-143	88	34	{	{	PUNCT
ejpam-143	88	35	}	}	PUNCT
ejpam-143	88	36	[	[	PUNCT
ejpam-143	88	37	(	(	PUNCT
ejpam-143	88	38	{	{	PUNCT
ejpam-143	88	39	{	{	PUNCT
ejpam-143	88	40	}	}	PUNCT
ejpam-143	88	41	{	{	PUNCT
ejpam-143	88	42	}	}	PUNCT
ejpam-143	88	43	)	)	PUNCT
ejpam-143	88	44	(	(	PUNCT
ejpam-143	88	45	sin)sin()(cot	sin)sin()(cot	PROPN
ejpam-143	88	46	2	2	NUM
ejpam-143	88	47	1	1	NUM
ejpam-143	88	48	)	)	PUNCT
ejpam-143	88	49	(	(	PUNCT
ejpam-143	88	50	sin	sin	NOUN
ejpam-143	88	51	)	)	PUNCT
ejpam-143	88	52	(	(	PUNCT
ejpam-143	88	53	cos2sin	cos2sin	VERB
ejpam-143	88	54	4	4	NUM
ejpam-143	88	55	2	2	NUM
ejpam-143	88	56	tfhustfhieesuttfh	tfhustfhieesuttfh	NOUN
ejpam-143	88	57	isu	isu	NOUN
ejpam-143	88	58	ui	ui	PROPN
ejpam-143	88	59	−−+=	−−+=	PROPN
ejpam-143	88	60	−−	−−	PROPN
ejpam-143	88	61	ααφφα	ααφφα	PROPN
ejpam-143	88	62	φφφ	φφφ	PROPN
ejpam-143	88	63	)	)	PUNCT
ejpam-143	88	64	]	]	PUNCT
ejpam-143	88	65	{	{	PUNCT
ejpam-143	88	66	}	}	PUNCT
ejpam-143	88	67	{	{	PUNCT
ejpam-143	88	68	}	}	PUNCT
ejpam-143	88	69	(	(	PUNCT
ejpam-143	88	70	)	)	PUNCT
ejpam-143	88	71	[	[	PUNCT
ejpam-143	88	72	]	]	X
ejpam-143	88	73	}	}	PUNCT
ejpam-143	88	74	)	)	PUNCT
ejpam-143	88	75	sin()(sin)sin()(cot)sin	sin()(sin)sin()(cot)sin	NUM
ejpam-143	88	76	(	(	PUNCT
ejpam-143	88	77	cos	cos	PROPN
ejpam-143	88	78	φφφφφ	φφφφφ	PROPN
ejpam-143	88	79	ααφ	ααφ	PROPN
ejpam-143	88	80	ustfhustfhieus	ustfhustfhieus	PROPN
ejpam-143	88	81	isu	isu	PROPN
ejpam-143	88	82	−−−−−+	−−−−−+	PROPN
ejpam-143	88	83	proof	proof	NOUN
ejpam-143	88	84	:	:	PUNCT
ejpam-143	88	85	using	use	VERB
ejpam-143	88	86	the	the	DET
ejpam-143	88	87	definition	definition	NOUN
ejpam-143	88	88	of	of	ADP
ejpam-143	88	89	fractional	fractional	PROPN
ejpam-143	88	90	hartley	hartley	PROPN
ejpam-143	88	91	transform	transform	NOUN
ejpam-143	88	92	{	{	PUNCT
ejpam-143	88	93	}	}	PUNCT
ejpam-143	88	94	[	[	PUNCT
ejpam-143	88	95	]	]	X
ejpam-143	88	96	dtuttfstiesteeiuttfh	dtuttfstiesteeiuttfh	INTJ
ejpam-143	88	97	i	i	PRON
ejpam-143	88	98	tisi	tisi	VERB
ejpam-143	88	99	sin)(.).sin(csc).cos(csc	sin)(.).sin(csc).cos(csc	PROPN
ejpam-143	88	100	2	2	NUM
ejpam-143	88	101	cot1(s	cot1(	NOUN
ejpam-143	88	102	)	)	PUNCT
ejpam-143	88	103	sin	sin	NOUN
ejpam-143	88	104	)	)	PUNCT
ejpam-143	88	105	(	(	PUNCT
ejpam-143	88	106	cot	cot	NOUN
ejpam-143	88	107	2	2	NUM
ejpam-143	88	108	cot	cot	NOUN
ejpam-143	88	109	2	2	NUM
ejpam-143	88	110	22	22	NUM
ejpam-143	88	111	φφ	φφ	ADP
ejpam-143	88	112	π	π	PROPN
ejpam-143	88	113	φ	φ	X
ejpam-143	88	114	φφφα	φφφα	NOUN
ejpam-143	88	115	−	−	PROPN
ejpam-143	88	116	−	−	PROPN
ejpam-143	89	1	=	=	SYM
ejpam-143	89	2	∫	∫	PROPN
ejpam-143	89	3	∞	∞	NUM
ejpam-143	89	4	∞−	∞−	PROPN
ejpam-143	89	5	by	by	ADP
ejpam-143	89	6	solving	solve	VERB
ejpam-143	89	7	,	,	PUNCT
ejpam-143	89	8	we	we	PRON
ejpam-143	89	9	get	get	VERB
ejpam-143	89	10	{	{	PUNCT
ejpam-143	89	11	}	}	PUNCT
ejpam-143	89	12	[	[	PUNCT
ejpam-143	89	13	(	(	PUNCT
ejpam-143	89	14	{	{	PUNCT
ejpam-143	89	15	{	{	PUNCT
ejpam-143	89	16	}	}	PUNCT
ejpam-143	89	17	{	{	PUNCT
ejpam-143	89	18	}	}	PUNCT
ejpam-143	89	19	)	)	PUNCT
ejpam-143	89	20	]	]	PUNCT
ejpam-143	89	21	)	)	PUNCT
ejpam-143	89	22	sin()(sin)sin()(cot	sin()(sin)sin()(cot	PROPN
ejpam-143	89	23	2	2	NUM
ejpam-143	89	24	1(s	1(s	NUM
ejpam-143	89	25	)	)	PUNCT
ejpam-143	89	26	sin	sin	NOUN
ejpam-143	89	27	)	)	PUNCT
ejpam-143	89	28	(	(	PUNCT
ejpam-143	89	29	cos2sin	cos2sin	VERB
ejpam-143	89	30	4	4	NUM
ejpam-143	89	31	2	2	NUM
ejpam-143	89	32	φφφφ	φφφφ	PROPN
ejpam-143	89	33	ααφφα	ααφφα	PROPN
ejpam-143	89	34	ustfhustfhieeuttfh	ustfhustfhieeuttfh	PROPN
ejpam-143	89	35	isu	isu	PROPN
ejpam-143	89	36	ui	ui	PROPN
ejpam-143	90	1	+	+	PROPN
ejpam-143	90	2	−−+=	−−+=	ADJ
ejpam-143	90	3	−−	−−	NOUN
ejpam-143	90	4	{	{	PUNCT
ejpam-143	90	5	}	}	PUNCT
ejpam-143	90	6	{	{	PUNCT
ejpam-143	90	7	}	}	PUNCT
ejpam-143	90	8	(	(	PUNCT
ejpam-143	90	9	)	)	PUNCT
ejpam-143	90	10	[	[	PUNCT
ejpam-143	90	11	]	]	X
ejpam-143	90	12	}	}	PUNCT
ejpam-143	90	13	.)sin()(sin)sin()(cotcos	.)sin()(sin)sin()(cotcos	PROPN
ejpam-143	90	14	φφφφ	φφφφ	PROPN
ejpam-143	90	15	ααφ	ααφ	PROPN
ejpam-143	90	16	ustfhustfhieisu	ustfhustfhieisu	PROPN
ejpam-143	90	17	−−−−−	−−−−−	X
ejpam-143	90	18	(	(	PUNCT
ejpam-143	90	19	4.2.1	4.2.1	NOUN
ejpam-143	90	20	)	)	PUNCT
ejpam-143	90	21	4.3	4.3	NUM
ejpam-143	90	22	if	if	SCONJ
ejpam-143	90	23	{	{	PUNCT
ejpam-143	90	24	}	}	PUNCT
ejpam-143	90	25	)	)	PUNCT
ejpam-143	90	26	(	(	PUNCT
ejpam-143	90	27	)	)	PUNCT
ejpam-143	90	28	(	(	PUNCT
ejpam-143	90	29	stfh	stfh	PROPN
ejpam-143	90	30	α	α	PROPN
ejpam-143	90	31	is	be	AUX
ejpam-143	90	32	fractional	fractional	ADJ
ejpam-143	90	33	hartley	hartley	NOUN
ejpam-143	90	34	transform	transform	NOUN
ejpam-143	90	35	of	of	ADP
ejpam-143	90	36	)	)	PUNCT
ejpam-143	90	37	(	(	PUNCT
ejpam-143	91	1	tf	tf	INTJ
ejpam-143	91	2	then	then	ADV
ejpam-143	91	3	{	{	PUNCT
ejpam-143	91	4	}	}	PUNCT
ejpam-143	91	5	{	{	PUNCT
ejpam-143	91	6	{	{	PUNCT
ejpam-143	91	7	}	}	PUNCT
ejpam-143	91	8	φαφφα	φαφφα	ADV
ejpam-143	91	9	φφφ	φφφ	NOUN
ejpam-143	91	10	cotcot2sin	cotcot2sin	PROPN
ejpam-143	91	11	4	4	NUM
ejpam-143	91	12	)	)	PUNCT
ejpam-143	91	13	cot1()sin()(.)cot1	cot1()sin()(.)cot1	PROPN
ejpam-143	91	14	(	(	PUNCT
ejpam-143	91	15	2	2	NUM
ejpam-143	91	16	1(s	1(s	NUM
ejpam-143	91	17	)	)	PUNCT
ejpam-143	91	18	)	)	PUNCT
ejpam-143	92	1	(	(	PUNCT
ejpam-143	92	2	2	2	NUM
ejpam-143	92	3	isuisu	isuisu	VERB
ejpam-143	92	4	uiiut	uiiut	ADJ
ejpam-143	92	5	eustfheeetfh	eustfheeetfh	NOUN
ejpam-143	93	1	+	+	PROPN
ejpam-143	93	2	+	+	ADJ
ejpam-143	93	3	+	+	ADJ
ejpam-143	93	4	−=	−=	ADJ
ejpam-143	93	5	−−	−−	NOUN
ejpam-143	93	6	{	{	PUNCT
ejpam-143	93	7	}	}	PUNCT
ejpam-143	93	8	{	{	PUNCT
ejpam-143	93	9	}	}	PUNCT
ejpam-143	93	10	{	{	PUNCT
ejpam-143	93	11	}	}	PUNCT
ejpam-143	93	12	(	(	PUNCT
ejpam-143	93	13	)	)	PUNCT
ejpam-143	93	14	}	}	PUNCT
ejpam-143	93	15	.)sin()()sin()(sin)sin	.)sin()()sin()(sin)sin	PROPN
ejpam-143	93	16	(	(	PUNCT
ejpam-143	93	17	)	)	PUNCT
ejpam-143	93	18	(	(	PUNCT
ejpam-143	93	19	φφφφ	φφφφ	PROPN
ejpam-143	93	20	ααα	ααα	VERB
ejpam-143	93	21	ustfhustfhiustfh	ustfhustfhiustfh	PROPN
ejpam-143	93	22	−−−+−−−	−−−+−−−	AUX
ejpam-143	93	23	proof	proof	NOUN
ejpam-143	93	24	:	:	PUNCT
ejpam-143	93	25	using	use	VERB
ejpam-143	93	26	(	(	PUNCT
ejpam-143	93	27	4.1.1	4.1.1	NUM
ejpam-143	93	28	)	)	PUNCT
ejpam-143	93	29	and	and	CCONJ
ejpam-143	93	30	(	(	PUNCT
ejpam-143	93	31	4.2.1	4.2.1	NOUN
ejpam-143	93	32	)	)	PUNCT
ejpam-143	93	33	4.4	4.4	NUM
ejpam-143	93	34	parseval	parseval	NOUN
ejpam-143	93	35	’s	’s	PART
ejpam-143	93	36	identity	identity	NOUN
ejpam-143	93	37	for	for	ADP
ejpam-143	93	38	fractional	fractional	ADJ
ejpam-143	93	39	hartley	hartley	PROPN
ejpam-143	93	40	transform	transform	NOUN
ejpam-143	93	41	:	:	PUNCT
ejpam-143	93	42	statement	statement	NOUN
ejpam-143	93	43	:	:	PUNCT
ejpam-143	93	44	if	if	SCONJ
ejpam-143	93	45	the	the	DET
ejpam-143	93	46	fractional	fractional	ADJ
ejpam-143	93	47	hartley	hartley	NOUN
ejpam-143	93	48	transform	transform	NOUN
ejpam-143	93	49	of	of	ADP
ejpam-143	93	50	)	)	PUNCT
ejpam-143	93	51	(	(	PUNCT
ejpam-143	93	52	tf	tf	INTJ
ejpam-143	93	53	and	and	CCONJ
ejpam-143	93	54	)	)	PUNCT
ejpam-143	93	55	(	(	PUNCT
ejpam-143	93	56	tg	tg	PROPN
ejpam-143	93	57	be	be	AUX
ejpam-143	93	58	{	{	PUNCT
ejpam-143	93	59	}	}	PUNCT
ejpam-143	93	60	)	)	PUNCT
ejpam-143	93	61	(	(	PUNCT
ejpam-143	93	62	)	)	PUNCT
ejpam-143	93	63	(	(	PUNCT
ejpam-143	93	64	stfh	stfh	PROPN
ejpam-143	93	65	α	α	PROPN
ejpam-143	93	66	and	and	CCONJ
ejpam-143	93	67	{	{	PUNCT
ejpam-143	93	68	}	}	PUNCT
ejpam-143	93	69	)	)	PUNCT
ejpam-143	93	70	(	(	PUNCT
ejpam-143	93	71	)	)	PUNCT
ejpam-143	93	72	(	(	PUNCT
ejpam-143	93	73	stgh	stgh	PROPN
ejpam-143	93	74	α	α	PROPN
ejpam-143	93	75	respectively	respectively	ADV
ejpam-143	93	76	then	then	ADV
ejpam-143	93	77	p.	p.	PROPN
ejpam-143	93	78	sontakke	sontakke	PROPN
ejpam-143	93	79	,	,	PUNCT
ejpam-143	93	80	a.	a.	NOUN
ejpam-143	93	81	gudadhe	gudadhe	PROPN
ejpam-143	93	82	/	/	SYM
ejpam-143	93	83	eur	eur	PROPN
ejpam-143	93	84	.	.	PUNCT
ejpam-143	94	1	j.	j.	PROPN
ejpam-143	94	2	pure	pure	PROPN
ejpam-143	94	3	appl	appl	PROPN
ejpam-143	94	4	.	.	PROPN
ejpam-143	94	5	math	math	PROPN
ejpam-143	94	6	,	,	PUNCT
ejpam-143	94	7	2	2	NUM
ejpam-143	94	8	(	(	PUNCT
ejpam-143	94	9	2009	2009	NUM
ejpam-143	94	10	)	)	PUNCT
ejpam-143	94	11	169	169	NUM
ejpam-143	94	12	{	{	PUNCT
ejpam-143	94	13	}	}	PUNCT
ejpam-143	94	14	{	{	PUNCT
ejpam-143	94	15	}	}	PUNCT
ejpam-143	94	16	{	{	PUNCT
ejpam-143	94	17	}	}	PUNCT
ejpam-143	94	18	{	{	PUNCT
ejpam-143	94	19	}	}	PUNCT
ejpam-143	94	20	{	{	PUNCT
ejpam-143	94	21	}	}	PUNCT
ejpam-143	94	22	{	{	PUNCT
ejpam-143	94	23	}	}	PUNCT
ejpam-143	94	24	{	{	PUNCT
ejpam-143	94	25	}	}	PUNCT
ejpam-143	94	26	{	{	PUNCT
ejpam-143	94	27	}	}	PUNCT
ejpam-143	94	28	∫∫	∫∫	ADV
ejpam-143	94	29	∫∫	∫∫	ADV
ejpam-143	94	30	∫	∫	PROPN
ejpam-143	94	31	∞	∞	NUM
ejpam-143	94	32	∞−	∞−	PROPN
ejpam-143	94	33	∞	∞	PROPN
ejpam-143	94	34	∞−	∞−	PROPN
ejpam-143	95	1	∞	∞	PROPN
ejpam-143	96	1	∞−	∞−	PROPN
ejpam-143	97	1	∞	∞	PROPN
ejpam-143	98	1	∞−	∞−	PROPN
ejpam-143	99	1	∞	∞	PROPN
ejpam-143	100	1	∞−	∞−	PROPN
ejpam-143	100	2	∗	∗	NOUN
ejpam-143	100	3	−+−−	−+−−	PROPN
ejpam-143	100	4	−−+=	−−+=	ADV
ejpam-143	100	5	dsstghstfhidsstghstfhi	dsstghstfhidsstghstfhi	NOUN
ejpam-143	100	6	dsstghstfhdsstghstfhdttgtf	dsstghstfhdsstghstfhdttgtf	PROPN
ejpam-143	100	7	)	)	PUNCT
ejpam-143	100	8	(	(	PUNCT
ejpam-143	100	9	)	)	PUNCT
ejpam-143	100	10	(	(	PUNCT
ejpam-143	100	11	)	)	PUNCT
ejpam-143	100	12	.()(sin2)()().()(sin2	.()(sin2)()().()(sin2	NUM
ejpam-143	100	13	)	)	PUNCT
ejpam-143	100	14	(	(	PUNCT
ejpam-143	100	15	)	)	PUNCT
ejpam-143	100	16	(	(	PUNCT
ejpam-143	100	17	)	)	PUNCT
ejpam-143	100	18	.	.	PUNCT
ejpam-143	101	1	(	(	PUNCT
ejpam-143	101	2	)	)	PUNCT
ejpam-143	101	3	(	(	PUNCT
ejpam-143	101	4	2	2	NUM
ejpam-143	101	5	sin	sin	NOUN
ejpam-143	101	6	)	)	PUNCT
ejpam-143	101	7	(	(	PUNCT
ejpam-143	101	8	)	)	PUNCT
ejpam-143	101	9	(	(	PUNCT
ejpam-143	101	10	)	)	PUNCT
ejpam-143	101	11	.	.	PUNCT
ejpam-143	102	1	(	(	PUNCT
ejpam-143	102	2	)	)	PUNCT
ejpam-143	102	3	(	(	PUNCT
ejpam-143	102	4	2	2	NUM
ejpam-143	102	5	cos)().()1	cos)().()1	ADJ
ejpam-143	102	6	22	22	NUM
ejpam-143	102	7	αααα	αααα	NOUN
ejpam-143	102	8	αααα	αααα	VERB
ejpam-143	102	9	φφ	φφ	ADP
ejpam-143	102	10	φφ	φφ	PROPN
ejpam-143	102	11	and	and	CCONJ
ejpam-143	102	12	{	{	PUNCT
ejpam-143	102	13	}	}	PUNCT
ejpam-143	102	14	(	(	PUNCT
ejpam-143	102	15	)	)	PUNCT
ejpam-143	102	16	{	{	PUNCT
ejpam-143	102	17	}	}	PUNCT
ejpam-143	102	18	(	(	PUNCT
ejpam-143	102	19	)	)	PUNCT
ejpam-143	102	20	,	,	PUNCT
ejpam-143	102	21	)	)	PUNCT
ejpam-143	102	22	(	(	PUNCT
ejpam-143	102	23	)	)	PUNCT
ejpam-143	102	24	(	(	PUNCT
ejpam-143	102	25	2	2	NUM
ejpam-143	102	26	sin	sin	NOUN
ejpam-143	102	27	)	)	PUNCT
ejpam-143	102	28	(	(	PUNCT
ejpam-143	102	29	)	)	PUNCT
ejpam-143	102	30	(	(	PUNCT
ejpam-143	102	31	2	2	NUM
ejpam-143	102	32	cos)()2	cos)()2	NUM
ejpam-143	102	33	22222	22222	NUM
ejpam-143	102	34	dsstfhdsstfhdttf	dsstfhdsstfhdttf	NOUN
ejpam-143	103	1	∫∫	∫∫	PROPN
ejpam-143	103	2	∫	∫	PROPN
ejpam-143	103	3	∞	∞	NUM
ejpam-143	103	4	∞−	∞−	PROPN
ejpam-143	103	5	∞	∞	PROPN
ejpam-143	103	6	∞−	∞−	PROPN
ejpam-143	103	7	∞	∞	PROPN
ejpam-143	103	8	∞−	∞−	PROPN
ejpam-143	103	9	−+=	−+=	NOUN
ejpam-143	103	10	αα	αα	VERB
ejpam-143	103	11	φφ	φφ	ADP
ejpam-143	103	12	where	where	SCONJ
ejpam-143	103	13	)	)	PUNCT
ejpam-143	103	14	(	(	PUNCT
ejpam-143	103	15	*	*	PUNCT
ejpam-143	103	16	tg	tg	PROPN
ejpam-143	103	17	is	be	AUX
ejpam-143	103	18	a	a	DET
ejpam-143	103	19	complex	complex	ADJ
ejpam-143	103	20	conjugate	conjugate	NOUN
ejpam-143	103	21	of	of	ADP
ejpam-143	103	22	)	)	PUNCT
ejpam-143	103	23	(	(	PUNCT
ejpam-143	103	24	tg	tg	INTJ
ejpam-143	103	25	.	.	PUNCT
ejpam-143	104	1	proof	proof	NOUN
ejpam-143	104	2	:	:	PUNCT
ejpam-143	104	3	the	the	DET
ejpam-143	104	4	parseval	parseval	NOUN
ejpam-143	104	5	’s	’s	PART
ejpam-143	104	6	relation	relation	NOUN
ejpam-143	104	7	for	for	ADP
ejpam-143	104	8	the	the	DET
ejpam-143	104	9	fractional	fractional	ADJ
ejpam-143	104	10	fourier	fourier	NOUN
ejpam-143	104	11	transform	transform	NOUN
ejpam-143	104	12	is	be	AUX
ejpam-143	104	13	as	as	SCONJ
ejpam-143	104	14	follows	follow	VERB
ejpam-143	104	15	,	,	PUNCT
ejpam-143	104	16	∫∫	∫∫	ADV
ejpam-143	104	17	∞	∞	NUM
ejpam-143	104	18	∞−	∞−	NOUN
ejpam-143	104	19	∞	∞	NUM
ejpam-143	104	20	∞−	∞−	PROPN
ejpam-143	104	21	=	=	PROPN
ejpam-143	104	22	dssgsfdttgtf	dssgsfdttgtf	PROPN
ejpam-143	104	23	)	)	PUNCT
ejpam-143	104	24	(	(	PUNCT
ejpam-143	104	25	)	)	PUNCT
ejpam-143	104	26	(	(	PUNCT
ejpam-143	104	27	)	)	PUNCT
ejpam-143	104	28	(	(	PUNCT
ejpam-143	104	29	)	)	PUNCT
ejpam-143	104	30	(	(	PUNCT
ejpam-143	104	31	*	*	PUNCT
ejpam-143	104	32	*	*	NOUN
ejpam-143	104	33	αα	αα	X
ejpam-143	104	34	.	.	PUNCT
ejpam-143	105	1	(	(	PUNCT
ejpam-143	105	2	4.4.1	4.4.1	X
ejpam-143	105	3	)	)	PUNCT
ejpam-143	105	4	now	now	ADV
ejpam-143	105	5	using	use	VERB
ejpam-143	105	6	the	the	DET
ejpam-143	105	7	relation	relation	NOUN
ejpam-143	105	8	between	between	ADP
ejpam-143	105	9	fractional	fractional	ADJ
ejpam-143	105	10	fourier	fourier	NOUN
ejpam-143	105	11	transform	transform	NOUN
ejpam-143	105	12	and	and	CCONJ
ejpam-143	105	13	fractional	fractional	PROPN
ejpam-143	105	14	hartley	hartley	PROPN
ejpam-143	105	15	transform	transform	NOUN
ejpam-143	105	16	is	be	AUX
ejpam-143	105	17	as	as	SCONJ
ejpam-143	105	18	follows	follow	VERB
ejpam-143	105	19	.	.	PUNCT
ejpam-143	106	1	{	{	PUNCT
ejpam-143	106	2	}	}	PUNCT
ejpam-143	106	3	{	{	PUNCT
ejpam-143	106	4	}	}	PUNCT
ejpam-143	106	5	{	{	PUNCT
ejpam-143	106	6	}	}	PUNCT
ejpam-143	106	7	[	[	PUNCT
ejpam-143	106	8	]	]	X
ejpam-143	106	9	)	)	PUNCT
ejpam-143	106	10	(	(	PUNCT
ejpam-143	106	11	)	)	PUNCT
ejpam-143	106	12	(	(	PUNCT
ejpam-143	106	13	)	)	PUNCT
ejpam-143	106	14	1()()()1	1()()()1	NUM
ejpam-143	106	15	(	(	PUNCT
ejpam-143	106	16	2	2	NUM
ejpam-143	106	17	1(s	1(s	NUM
ejpam-143	106	18	)	)	PUNCT
ejpam-143	106	19	)	)	PUNCT
ejpam-143	107	1	(	(	PUNCT
ejpam-143	107	2	stfhestfhetff	stfhestfhetff	PROPN
ejpam-143	107	3	ii	ii	PROPN
ejpam-143	107	4	−−++=	−−++=	PUNCT
ejpam-143	107	5	−−	−−	NOUN
ejpam-143	107	6	αφαφ	αφαφ	NOUN
ejpam-143	107	7	α	α	NOUN
ejpam-143	107	8	ie	ie	X
ejpam-143	107	9	{	{	PUNCT
ejpam-143	107	10	}	}	PUNCT
ejpam-143	107	11	{	{	PUNCT
ejpam-143	107	12	}	}	PUNCT
ejpam-143	107	13	{	{	PUNCT
ejpam-143	107	14	}	}	PUNCT
ejpam-143	107	15	{	{	PUNCT
ejpam-143	107	16	}	}	PUNCT
ejpam-143	107	17	{	{	PUNCT
ejpam-143	107	18	}	}	PUNCT
ejpam-143	107	19	(	(	PUNCT
ejpam-143	107	20	)	)	PUNCT
ejpam-143	107	21	{	{	PUNCT
ejpam-143	107	22	}	}	PUNCT
ejpam-143	107	23	{	{	PUNCT
ejpam-143	107	24	}	}	PUNCT
ejpam-143	107	25	(	(	PUNCT
ejpam-143	107	26	)	)	PUNCT
ejpam-143	107	27			PROPN
ejpam-143	107	28			PROPN
ejpam-143	107	29			PROPN
ejpam-143	107	30			PROPN
ejpam-143	107	31			ADJ
ejpam-143	107	32			ADJ
ejpam-143	107	33			NUM
ejpam-143	107	34			NOUN
ejpam-143	107	35	−−−	−−−	X
ejpam-143	107	36	−−+−+	−−+−+	PROPN
ejpam-143	107	37	=	=	SYM
ejpam-143	107	38	)	)	PUNCT
ejpam-143	107	39	(	(	PUNCT
ejpam-143	107	40	)	)	PUNCT
ejpam-143	107	41	(	(	PUNCT
ejpam-143	107	42	)	)	PUNCT
ejpam-143	107	43	(	(	PUNCT
ejpam-143	107	44	)	)	PUNCT
ejpam-143	107	45	(	(	PUNCT
ejpam-143	107	46	sin	sin	NOUN
ejpam-143	107	47	)	)	PUNCT
ejpam-143	107	48	(	(	PUNCT
ejpam-143	107	49	)	)	PUNCT
ejpam-143	107	50	(	(	PUNCT
ejpam-143	107	51	)	)	PUNCT
ejpam-143	107	52	(	(	PUNCT
ejpam-143	107	53	)	)	PUNCT
ejpam-143	107	54	(	(	PUNCT
ejpam-143	107	55	cos	cos	PROPN
ejpam-143	107	56	)	)	PUNCT
ejpam-143	107	57	(	(	PUNCT
ejpam-143	107	58	)	)	PUNCT
ejpam-143	107	59	(	(	PUNCT
ejpam-143	107	60	)	)	PUNCT
ejpam-143	107	61	(	(	PUNCT
ejpam-143	107	62	)	)	PUNCT
ejpam-143	107	63	(	(	PUNCT
ejpam-143	107	64	2	2	NUM
ejpam-143	107	65	1(s	1(s	NUM
ejpam-143	107	66	)	)	PUNCT
ejpam-143	107	67	)	)	PUNCT
ejpam-143	107	68	(	(	PUNCT
ejpam-143	107	69	stfhstfhi	stfhstfhi	PROPN
ejpam-143	107	70	stfhstfhstfhstfh	stfhstfhstfhstfh	PROPN
ejpam-143	107	71	tff	tff	PROPN
ejpam-143	107	72	αα	αα	PROPN
ejpam-143	107	73	αααα	αααα	PROPN
ejpam-143	107	74	α	α	PROPN
ejpam-143	107	75	φ	φ	PROPN
ejpam-143	107	76	φ	φ	PROPN
ejpam-143	107	77	and	and	CCONJ
ejpam-143	107	78	{	{	PUNCT
ejpam-143	107	79	}	}	PUNCT
ejpam-143	107	80	{	{	PUNCT
ejpam-143	107	81	}	}	PUNCT
ejpam-143	107	82	{	{	PUNCT
ejpam-143	107	83	}	}	PUNCT
ejpam-143	107	84	{	{	PUNCT
ejpam-143	107	85	}	}	PUNCT
ejpam-143	107	86	{	{	PUNCT
ejpam-143	107	87	}	}	PUNCT
ejpam-143	107	88	(	(	PUNCT
ejpam-143	107	89	)	)	PUNCT
ejpam-143	107	90	{	{	PUNCT
ejpam-143	107	91	}	}	PUNCT
ejpam-143	107	92	{	{	PUNCT
ejpam-143	107	93	}	}	PUNCT
ejpam-143	107	94	(	(	PUNCT
ejpam-143	107	95	)	)	PUNCT
ejpam-143	108	1			PROPN
ejpam-143	108	2			PROPN
ejpam-143	108	3			PROPN
ejpam-143	108	4			PROPN
ejpam-143	108	5			ADJ
ejpam-143	108	6			ADJ
ejpam-143	108	7			NUM
ejpam-143	108	8			VERB
ejpam-143	108	9	−−+	−−+	PROPN
ejpam-143	108	10	−−+−+	−−+−+	PROPN
ejpam-143	108	11	=	=	NOUN
ejpam-143	108	12	•	•	NOUN
ejpam-143	108	13	)	)	PUNCT
ejpam-143	108	14	(	(	PUNCT
ejpam-143	108	15	)	)	PUNCT
ejpam-143	108	16	(	(	PUNCT
ejpam-143	108	17	)	)	PUNCT
ejpam-143	108	18	(	(	PUNCT
ejpam-143	108	19	)	)	PUNCT
ejpam-143	108	20	(	(	PUNCT
ejpam-143	108	21	sin	sin	NOUN
ejpam-143	108	22	)	)	PUNCT
ejpam-143	108	23	(	(	PUNCT
ejpam-143	108	24	)	)	PUNCT
ejpam-143	108	25	(	(	PUNCT
ejpam-143	108	26	)	)	PUNCT
ejpam-143	108	27	(	(	PUNCT
ejpam-143	108	28	)	)	PUNCT
ejpam-143	108	29	(	(	PUNCT
ejpam-143	108	30	cos	cos	PROPN
ejpam-143	108	31	)	)	PUNCT
ejpam-143	108	32	(	(	PUNCT
ejpam-143	108	33	)	)	PUNCT
ejpam-143	108	34	(	(	PUNCT
ejpam-143	108	35	)	)	PUNCT
ejpam-143	108	36	(	(	PUNCT
ejpam-143	108	37	)	)	PUNCT
ejpam-143	108	38	(	(	PUNCT
ejpam-143	108	39	2	2	NUM
ejpam-143	108	40	1(s	1(s	NUM
ejpam-143	108	41	)	)	PUNCT
ejpam-143	108	42	)	)	PUNCT
ejpam-143	109	1	(	(	PUNCT
ejpam-143	109	2	stghstghi	stghstghi	PROPN
ejpam-143	109	3	stghstghstghstgh	stghstghstghstgh	VERB
ejpam-143	109	4	tgg	tgg	PROPN
ejpam-143	109	5	αα	αα	PROPN
ejpam-143	109	6	αααα	αααα	PROPN
ejpam-143	109	7	α	α	PROPN
ejpam-143	109	8	φ	φ	PROPN
ejpam-143	109	9	φ	φ	PROPN
ejpam-143	109	10	.	.	PUNCT
ejpam-143	110	1	where	where	SCONJ
ejpam-143	110	2	)	)	PUNCT
ejpam-143	110	3	(	(	PUNCT
ejpam-143	110	4	sg	sg	INTJ
ejpam-143	110	5	•	•	NUM
ejpam-143	110	6	α	α	NOUN
ejpam-143	110	7	is	be	AUX
ejpam-143	110	8	a	a	DET
ejpam-143	110	9	complex	complex	ADJ
ejpam-143	110	10	conjugate	conjugate	NOUN
ejpam-143	110	11	of	of	ADP
ejpam-143	110	12	)	)	PUNCT
ejpam-143	110	13	(	(	PUNCT
ejpam-143	110	14	sgα	sgα	NOUN
ejpam-143	110	15	,	,	PUNCT
ejpam-143	110	16	hence	hence	ADV
ejpam-143	110	17	equation	equation	NOUN
ejpam-143	110	18	(	(	PUNCT
ejpam-143	110	19	4.4.1	4.4.1	X
ejpam-143	110	20	)	)	PUNCT
ejpam-143	110	21	becomes	become	VERB
ejpam-143	110	22	{	{	PUNCT
ejpam-143	110	23	}	}	PUNCT
ejpam-143	110	24	{	{	PUNCT
ejpam-143	110	25	}	}	PUNCT
ejpam-143	110	26	{	{	PUNCT
ejpam-143	110	27	}	}	PUNCT
ejpam-143	110	28	{	{	PUNCT
ejpam-143	110	29	}	}	PUNCT
ejpam-143	110	30	{	{	PUNCT
ejpam-143	110	31	}	}	PUNCT
ejpam-143	110	32	{	{	PUNCT
ejpam-143	110	33	}	}	PUNCT
ejpam-143	110	34	{	{	PUNCT
ejpam-143	110	35	}	}	PUNCT
ejpam-143	110	36	{	{	PUNCT
ejpam-143	110	37	}	}	PUNCT
ejpam-143	110	38	.)()().()(sin2)()().()(sin2	.)()().()(sin2)()().()(sin2	PROPN
ejpam-143	110	39	)	)	PUNCT
ejpam-143	110	40	(	(	PUNCT
ejpam-143	110	41	)	)	PUNCT
ejpam-143	110	42	(	(	PUNCT
ejpam-143	110	43	)	)	PUNCT
ejpam-143	110	44	.	.	PUNCT
ejpam-143	111	1	(	(	PUNCT
ejpam-143	111	2	)	)	PUNCT
ejpam-143	111	3	(	(	PUNCT
ejpam-143	111	4	2	2	NUM
ejpam-143	111	5	sin	sin	NOUN
ejpam-143	111	6	)	)	PUNCT
ejpam-143	111	7	(	(	PUNCT
ejpam-143	111	8	)	)	PUNCT
ejpam-143	111	9	(	(	PUNCT
ejpam-143	111	10	)	)	PUNCT
ejpam-143	111	11	.	.	PUNCT
ejpam-143	112	1	(	(	PUNCT
ejpam-143	112	2	)	)	PUNCT
ejpam-143	112	3	(	(	PUNCT
ejpam-143	112	4	2	2	NUM
ejpam-143	112	5	cos	cos	NOUN
ejpam-143	112	6	)	)	PUNCT
ejpam-143	112	7	(	(	PUNCT
ejpam-143	112	8	)	)	PUNCT
ejpam-143	112	9	.	.	PUNCT
ejpam-143	113	1	(	(	PUNCT
ejpam-143	113	2	22	22	NUM
ejpam-143	114	1	∫∫	∫∫	ADV
ejpam-143	114	2	∫∫	∫∫	ADV
ejpam-143	114	3	∫	∫	PROPN
ejpam-143	114	4	∞	∞	NUM
ejpam-143	114	5	∞−	∞−	PROPN
ejpam-143	114	6	∞	∞	PROPN
ejpam-143	114	7	∞−	∞−	PROPN
ejpam-143	114	8	∞	∞	PROPN
ejpam-143	114	9	∞−	∞−	PROPN
ejpam-143	114	10	∞	∞	PROPN
ejpam-143	114	11	∞−	∞−	PROPN
ejpam-143	114	12	∞	∞	PROPN
ejpam-143	114	13	∞−	∞−	PROPN
ejpam-143	114	14	∗	∗	NOUN
ejpam-143	114	15	−+−−	−+−−	PROPN
ejpam-143	114	16	−−+=	−−+=	ADV
ejpam-143	114	17	dsstghstfhidsstghstfhi	dsstghstfhidsstghstfhi	NOUN
ejpam-143	114	18	dsstghstfhdsstghstfhdttgtf	dsstghstfhdsstghstfhdttgtf	PROPN
ejpam-143	114	19	αααα	αααα	PROPN
ejpam-143	114	20	αααα	αααα	VERB
ejpam-143	114	21	φφ	φφ	ADP
ejpam-143	114	22	φφ	φφ	PROPN
ejpam-143	114	23	in	in	ADP
ejpam-143	114	24	particular	particular	ADJ
ejpam-143	114	25	if	if	SCONJ
ejpam-143	114	26	gf	gf	PROPN
ejpam-143	114	27	=	=	PUNCT
ejpam-143	114	28	then	then	ADV
ejpam-143	114	29	,	,	PUNCT
ejpam-143	114	30	p.	p.	PROPN
ejpam-143	114	31	sontakke	sontakke	PROPN
ejpam-143	114	32	,	,	PUNCT
ejpam-143	114	33	a.	a.	NOUN
ejpam-143	114	34	gudadhe	gudadhe	PROPN
ejpam-143	114	35	/	/	SYM
ejpam-143	114	36	eur	eur	PROPN
ejpam-143	114	37	.	.	PUNCT
ejpam-143	115	1	j.	j.	PROPN
ejpam-143	115	2	pure	pure	PROPN
ejpam-143	115	3	appl	appl	PROPN
ejpam-143	115	4	.	.	PROPN
ejpam-143	115	5	math	math	PROPN
ejpam-143	115	6	,	,	PUNCT
ejpam-143	115	7	2	2	NUM
ejpam-143	115	8	(	(	PUNCT
ejpam-143	115	9	2009	2009	NUM
ejpam-143	115	10	)	)	PUNCT
ejpam-143	115	11	170	170	NUM
ejpam-143	115	12	{	{	PUNCT
ejpam-143	115	13	}	}	PUNCT
ejpam-143	115	14	(	(	PUNCT
ejpam-143	115	15	)	)	PUNCT
ejpam-143	115	16	{	{	PUNCT
ejpam-143	115	17	}	}	PUNCT
ejpam-143	115	18	(	(	PUNCT
ejpam-143	115	19	)	)	PUNCT
ejpam-143	115	20	.	.	PUNCT
ejpam-143	115	21	)	)	PUNCT
ejpam-143	116	1	(	(	PUNCT
ejpam-143	116	2	)	)	PUNCT
ejpam-143	116	3	(	(	PUNCT
ejpam-143	116	4	2	2	NUM
ejpam-143	116	5	sin	sin	NOUN
ejpam-143	116	6	)	)	PUNCT
ejpam-143	116	7	(	(	PUNCT
ejpam-143	116	8	)	)	PUNCT
ejpam-143	116	9	(	(	PUNCT
ejpam-143	116	10	2	2	NUM
ejpam-143	116	11	cos	cos	NOUN
ejpam-143	116	12	)	)	PUNCT
ejpam-143	116	13	(	(	PUNCT
ejpam-143	116	14	22222	22222	NUM
ejpam-143	116	15	dsstfhdsstfhdttf	dsstfhdsstfhdttf	NOUN
ejpam-143	117	1	∫∫	∫∫	PROPN
ejpam-143	117	2	∫	∫	PROPN
ejpam-143	117	3	∞	∞	NUM
ejpam-143	117	4	∞−	∞−	PROPN
ejpam-143	117	5	∞	∞	PROPN
ejpam-143	117	6	∞−	∞−	PROPN
ejpam-143	117	7	∞	∞	PROPN
ejpam-143	117	8	∞−	∞−	PROPN
ejpam-143	117	9	−+=	−+=	NOUN
ejpam-143	117	10	αα	αα	VERB
ejpam-143	117	11	φφ	φφ	ADP
ejpam-143	117	12	5	5	NUM
ejpam-143	117	13	.	.	PUNCT
ejpam-143	118	1	conclusion	conclusion	NOUN
ejpam-143	118	2	we	we	PRON
ejpam-143	118	3	have	have	AUX
ejpam-143	118	4	proved	prove	VERB
ejpam-143	118	5	convolution	convolution	NOUN
ejpam-143	118	6	theorem	theorem	VERB
ejpam-143	118	7	,	,	PUNCT
ejpam-143	118	8	modulation	modulation	NOUN
ejpam-143	118	9	theorem	theorem	NOUN
ejpam-143	118	10	and	and	CCONJ
ejpam-143	118	11	parseval	parseval	NOUN
ejpam-143	118	12	’s	’s	PART
ejpam-143	118	13	identity	identity	NOUN
ejpam-143	118	14	for	for	ADP
ejpam-143	118	15	fractional	fractional	ADJ
ejpam-143	118	16	hartley	hartley	PROPN
ejpam-143	118	17	transform	transform	NOUN
ejpam-143	118	18	.	.	PUNCT
ejpam-143	119	1	convolution	convolution	NOUN
ejpam-143	119	2	of	of	ADP
ejpam-143	119	3	two	two	NUM
ejpam-143	119	4	functions	function	NOUN
ejpam-143	119	5	for	for	ADP
ejpam-143	119	6	fractional	fractional	ADJ
ejpam-143	119	7	hartley	hartley	PROPN
ejpam-143	119	8	transform	transform	NOUN
ejpam-143	119	9	may	may	AUX
ejpam-143	119	10	be	be	AUX
ejpam-143	119	11	used	use	VERB
ejpam-143	119	12	in	in	ADP
ejpam-143	119	13	filter	filter	NOUN
ejpam-143	119	14	design	design	NOUN
ejpam-143	119	15	.	.	PUNCT
ejpam-143	120	1	references	reference	NOUN
ejpam-143	120	2	[	[	X
ejpam-143	120	3	1	1	NUM
ejpam-143	120	4	]	]	PUNCT
ejpam-143	120	5	a.	a.	NOUN
ejpam-143	120	6	i.	i.	PROPN
ejpam-143	120	7	zayed	zayed	PROPN
ejpam-143	120	8	:	:	PUNCT
ejpam-143	120	9	"	"	PUNCT
ejpam-143	120	10	hand	hand	NOUN
ejpam-143	120	11	book	book	NOUN
ejpam-143	120	12	of	of	ADP
ejpam-143	120	13	generalized	generalized	ADJ
ejpam-143	120	14	function	function	NOUN
ejpam-143	120	15	and	and	CCONJ
ejpam-143	120	16	functional	functional	ADJ
ejpam-143	120	17	analysis	analysis	NOUN
ejpam-143	120	18	"	"	PUNCT
ejpam-143	120	19	.	.	PUNCT
ejpam-143	121	1	publisher	publisher	NOUN
ejpam-143	121	2	crc	crc	PROPN
ejpam-143	121	3	press	press	PROPN
ejpam-143	121	4	,	,	PUNCT
ejpam-143	121	5	1996	1996	NUM
ejpam-143	121	6	.	.	PUNCT
ejpam-143	122	1	[	[	X
ejpam-143	122	2	2	2	NUM
ejpam-143	122	3	]	]	PUNCT
ejpam-143	122	4	a.	a.	NOUN
ejpam-143	122	5	i.	i.	PROPN
ejpam-143	122	6	zayed	zayed	PROPN
ejpam-143	122	7	:	:	PUNCT
ejpam-143	122	8	"	"	PUNCT
ejpam-143	122	9	convolution	convolution	NOUN
ejpam-143	122	10	and	and	CCONJ
ejpam-143	122	11	product	product	NOUN
ejpam-143	122	12	theorem	theorem	NOUN
ejpam-143	122	13	for	for	ADP
ejpam-143	122	14	the	the	DET
ejpam-143	122	15	fractional	fractional	ADJ
ejpam-143	122	16	fourier	fourier	NOUN
ejpam-143	122	17	transform	transform	NOUN
ejpam-143	122	18	"	"	PUNCT
ejpam-143	122	19	ieee	ieee	NOUN
ejpam-143	122	20	signal	signal	NOUN
ejpam-143	122	21	processing	processing	NOUN
ejpam-143	122	22	letters	letter	NOUN
ejpam-143	122	23	,	,	PUNCT
ejpam-143	122	24	vol	vol	NOUN
ejpam-143	122	25	.	.	PROPN
ejpam-143	122	26	5	5	NUM
ejpam-143	122	27	,	,	PUNCT
ejpam-143	122	28	no.4	no.4	PROPN
ejpam-143	122	29	,	,	PUNCT
ejpam-143	122	30	april	april	PROPN
ejpam-143	122	31	1998	1998	NUM
ejpam-143	122	32	.	.	PUNCT
ejpam-143	123	1	[	[	X
ejpam-143	123	2	3	3	X
ejpam-143	123	3	]	]	PUNCT
ejpam-143	123	4	p.	p.	NOUN
ejpam-143	123	5	k.	k.	PROPN
ejpam-143	123	6	sontakke	sontakke	PROPN
ejpam-143	123	7	,	,	PUNCT
ejpam-143	123	8	a.	a.	PROPN
ejpam-143	123	9	s.	s.	PROPN
ejpam-143	123	10	gudadhe	gudadhe	PROPN
ejpam-143	123	11	:	:	PUNCT
ejpam-143	123	12	"	"	PUNCT
ejpam-143	123	13	generalized	generalized	ADJ
ejpam-143	123	14	fractional	fractional	ADJ
ejpam-143	123	15	hartley	hartley	PROPN
ejpam-143	123	16	transform	transform	NOUN
ejpam-143	123	17	"	"	PUNCT
ejpam-143	123	18	vidarbha	vidarbha	PROPN
ejpam-143	123	19	journal	journal	PROPN
ejpam-143	123	20	of	of	ADP
ejpam-143	123	21	science	science	NOUN
ejpam-143	123	22	,	,	PUNCT
ejpam-143	123	23	vol	vol	NOUN
ejpam-143	123	24	.	.	PUNCT
ejpam-143	123	25	ii	ii	PROPN
ejpam-143	123	26	,	,	PUNCT
ejpam-143	123	27	no.1	no.1	PROPN
ejpam-143	123	28	,	,	PUNCT
ejpam-143	123	29	2007	2007	NUM
ejpam-143	123	30	.	.	PUNCT
ejpam-143	124	1	[	[	X
ejpam-143	124	2	4	4	X
ejpam-143	124	3	]	]	X
ejpam-143	124	4	pei	pei	PROPN
ejpam-143	124	5	-	-	PUNCT
ejpam-143	124	6	soo	soo	PROPN
ejpam-143	124	7	-	-	PUNCT
ejpam-143	124	8	chang	chang	PROPN
ejpam-143	124	9	jian	jian	PROPN
ejpam-143	124	10	-	-	PUNCT
ejpam-143	124	11	jiun	jiun	ADJ
ejpam-143	124	12	ding	ding	NOUN
ejpam-143	124	13	:	:	PUNCT
ejpam-143	124	14	"	"	PUNCT
ejpam-143	124	15	fractional	fractional	ADJ
ejpam-143	124	16	cosin	cosin	NOUN
ejpam-143	124	17	,	,	PUNCT
ejpam-143	124	18	sine	sine	NOUN
ejpam-143	124	19	and	and	CCONJ
ejpam-143	124	20	hartley	hartley	PROPN
ejpam-143	124	21	transform	transform	PROPN
ejpam-143	124	22	"	"	PUNCT
ejpam-143	124	23	,	,	PUNCT
ejpam-143	124	24	ieee	ieee	NOUN
ejpam-143	124	25	,	,	PUNCT
ejpam-143	124	26	trans	trans	PROPN
ejpam-143	124	27	.	.	PUNCT
ejpam-143	125	1	on	on	ADP
ejpam-143	125	2	signal	signal	ADJ
ejpam-143	125	3	processing	processing	NOUN
ejpam-143	125	4	,	,	PUNCT
ejpam-143	125	5	vol	vol	NOUN
ejpam-143	125	6	.	.	PROPN
ejpam-143	126	1	50	50	NUM
ejpam-143	126	2	,	,	PUNCT
ejpam-143	126	3	no	no	INTJ
ejpam-143	126	4	.	.	NOUN
ejpam-143	126	5	7	7	NUM
ejpam-143	126	6	,	,	PUNCT
ejpam-143	126	7	july	july	PROPN
ejpam-143	126	8	2002	2002	NUM
ejpam-143	126	9	.	.	PUNCT
ejpam-143	127	1	[	[	X
ejpam-143	127	2	5	5	X
ejpam-143	127	3	]	]	PUNCT
ejpam-143	127	4	l.b.almeida	l.b.almeida	PROPN
ejpam-143	127	5	:	:	PUNCT
ejpam-143	127	6	"	"	PUNCT
ejpam-143	127	7	product	product	NOUN
ejpam-143	127	8	and	and	CCONJ
ejpam-143	127	9	convolution	convolution	NOUN
ejpam-143	127	10	theorem	theorem	NOUN
ejpam-143	127	11	for	for	ADP
ejpam-143	127	12	the	the	DET
ejpam-143	127	13	fractional	fractional	ADJ
ejpam-143	127	14	fourier	fourier	NOUN
ejpam-143	127	15	transform	transform	NOUN
ejpam-143	127	16	"	"	PUNCT
ejpam-143	127	17	ieee	ieee	NOUN
ejpam-143	127	18	ttrans	ttran	NOUN
ejpam-143	127	19	.	.	PUNCT
ejpam-143	128	1	signal	signal	NOUN
ejpam-143	128	2	processing	processing	NOUN
ejpam-143	128	3	letters	letter	NOUN
ejpam-143	128	4	,	,	PUNCT
ejpam-143	128	5	vol	vol	NOUN
ejpam-143	128	6	.	.	PROPN
ejpam-143	128	7	4	4	NUM
ejpam-143	128	8	,	,	PUNCT
ejpam-143	128	9	p.	p.	NOUN
ejpam-143	128	10	15	15	NUM
ejpam-143	128	11	-	-	SYM
ejpam-143	128	12	17	17	NUM
ejpam-143	128	13	,	,	PUNCT
ejpam-143	128	14	1997	1997	NUM
ejpam-143	128	15	.	.	PUNCT
ejpam-143	129	1	[	[	X
ejpam-143	129	2	6	6	NUM
ejpam-143	129	3	]	]	PUNCT
ejpam-143	129	4	r.	r.	PROPN
ejpam-143	129	5	n.	n.	PROPN
ejpam-143	129	6	bracewell	bracewell	PROPN
ejpam-143	129	7	:	:	PUNCT
ejpam-143	129	8	"	"	PUNCT
ejpam-143	129	9	the	the	DET
ejpam-143	129	10	fourier	fourier	NOUN
ejpam-143	129	11	transform	transform	NOUN
ejpam-143	129	12	and	and	CCONJ
ejpam-143	129	13	its	its	PRON
ejpam-143	129	14	applications	application	NOUN
ejpam-143	129	15	"	"	PUNCT
ejpam-143	129	16	.	.	PUNCT
ejpam-143	130	1	mc	mc	PROPN
ejpam-143	130	2	.	.	PROPN
ejpam-143	130	3	grew	grew	PROPN
ejpam-143	130	4	-	-	PUNCT
ejpam-143	130	5	hill	hill	NOUN
ejpam-143	130	6	2003	2003	NUM
ejpam-143	130	7	.	.	PUNCT
ejpam-143	131	1	p.	p.	NOUN
ejpam-143	131	2	k.	k.	PROPN
ejpam-143	131	3	sontakke*1	sontakke*1	PROPN
ejpam-143	131	4	and	and	CCONJ
ejpam-143	131	5	a.	a.	PROPN
ejpam-143	131	6	s.	s.	PROPN
ejpam-143	131	7	gudadhe2	gudadhe2	PROPN
ejpam-143	132	1	ams	ams	PROPN
ejpam-143	132	2	subject	subject	PROPN
ejpam-143	132	3	code	code	PROPN
ejpam-143	132	4	:	:	PUNCT
ejpam-143	132	5	46f12	46f12	NUM
ejpam-143	132	6	and	and	CCONJ
ejpam-143	132	7	44	44	NUM