id	sid	tid	token	lemma	pos
ejpam-173	1	1	6_el-moneim.dvi	6_el-moneim.dvi	NUM
ejpam-173	1	2	european	european	ADJ
ejpam-173	1	3	journal	journal	PROPN
ejpam-173	1	4	of	of	ADP
ejpam-173	1	5	pure	pure	ADJ
ejpam-173	1	6	and	and	CCONJ
ejpam-173	1	7	applied	apply	VERB
ejpam-173	1	8	mathematics	mathematic	NOUN
ejpam-173	1	9	vol	vol	NOUN
ejpam-173	1	10	.	.	PROPN
ejpam-173	2	1	2	2	NUM
ejpam-173	2	2	,	,	PUNCT
ejpam-173	2	3	no	no	INTJ
ejpam-173	2	4	.	.	NOUN
ejpam-173	2	5	1	1	NUM
ejpam-173	2	6	,	,	PUNCT
ejpam-173	2	7	2009	2009	NUM
ejpam-173	2	8	,	,	PUNCT
ejpam-173	2	9	(	(	PUNCT
ejpam-173	2	10	97	97	NUM
ejpam-173	2	11	-	-	SYM
ejpam-173	2	12	111	111	NUM
ejpam-173	2	13	)	)	PUNCT
ejpam-173	2	14	issn	issn	PROPN
ejpam-173	2	15	1307	1307	NUM
ejpam-173	2	16	-	-	SYM
ejpam-173	2	17	5543	5543	NUM
ejpam-173	2	18	–	–	PUNCT
ejpam-173	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-173	2	20	coordinated	coordinate	VERB
ejpam-173	2	21	search	search	NOUN
ejpam-173	2	22	for	for	ADP
ejpam-173	2	23	a	a	DET
ejpam-173	2	24	randomly	randomly	ADV
ejpam-173	2	25	located	locate	VERB
ejpam-173	2	26	target	target	NOUN
ejpam-173	2	27	on	on	ADP
ejpam-173	2	28	the	the	DET
ejpam-173	2	29	plane	plane	NOUN
ejpam-173	2	30	abd	abd	PROPN
ejpam-173	2	31	el	el	PROPN
ejpam-173	2	32	-	-	PUNCT
ejpam-173	2	33	moneim	moneim	PROPN
ejpam-173	2	34	a.	a.	NOUN
ejpam-173	2	35	m.∗	m.∗	PROPN
ejpam-173	2	36	,	,	PUNCT
ejpam-173	2	37	hamdy	hamdy	PROPN
ejpam-173	2	38	m.	m.	PROPN
ejpam-173	2	39	abou	abou	PROPN
ejpam-173	2	40	gabal	gabal	PROPN
ejpam-173	2	41	and	and	CCONJ
ejpam-173	2	42	mohamed	mohamed	PROPN
ejpam-173	2	43	.	.	PUNCT
ejpam-173	3	1	a.	a.	PROPN
ejpam-173	3	2	el	el	PROPN
ejpam-173	3	3	-	-	PUNCT
ejpam-173	3	4	hadidy	hadidy	VERB
ejpam-173	3	5	mathematics	mathematics	PROPN
ejpam-173	3	6	department	department	NOUN
ejpam-173	3	7	,	,	PUNCT
ejpam-173	3	8	faculty	faculty	NOUN
ejpam-173	3	9	of	of	ADP
ejpam-173	3	10	science	science	PROPN
ejpam-173	3	11	,	,	PUNCT
ejpam-173	3	12	tanta	tanta	PROPN
ejpam-173	3	13	university	university	PROPN
ejpam-173	3	14	,	,	PUNCT
ejpam-173	3	15	egypt	egypt	PROPN
ejpam-173	3	16	abstract	abstract	PROPN
ejpam-173	3	17	.	.	PUNCT
ejpam-173	4	1	this	this	DET
ejpam-173	4	2	paper	paper	NOUN
ejpam-173	4	3	presents	present	VERB
ejpam-173	4	4	a	a	DET
ejpam-173	4	5	coordinated	coordinated	ADJ
ejpam-173	4	6	search	search	NOUN
ejpam-173	4	7	technique	technique	NOUN
ejpam-173	4	8	that	that	PRON
ejpam-173	4	9	allows	allow	VERB
ejpam-173	4	10	two	two	NUM
ejpam-173	4	11	searchers	searcher	NOUN
ejpam-173	4	12	who	who	PRON
ejpam-173	4	13	start	start	VERB
ejpam-173	4	14	together	together	ADV
ejpam-173	4	15	at	at	ADP
ejpam-173	4	16	the	the	DET
ejpam-173	4	17	intersection	intersection	NOUN
ejpam-173	4	18	point	point	NOUN
ejpam-173	4	19	of	of	ADP
ejpam-173	4	20	two	two	NUM
ejpam-173	4	21	roads	road	NOUN
ejpam-173	4	22	(	(	PUNCT
ejpam-173	4	23	the	the	DET
ejpam-173	4	24	vertical	vertical	ADJ
ejpam-173	4	25	road	road	NOUN
ejpam-173	4	26	acts	act	VERB
ejpam-173	4	27	x	x	NOUN
ejpam-173	4	28	-	-	NOUN
ejpam-173	4	29	axis	axis	NOUN
ejpam-173	4	30	and	and	CCONJ
ejpam-173	4	31	the	the	DET
ejpam-173	4	32	horizintal	horizintal	ADJ
ejpam-173	4	33	road	road	NOUN
ejpam-173	4	34	acts	act	VERB
ejpam-173	4	35	y	y	NOUN
ejpam-173	4	36	-	-	PUNCT
ejpam-173	4	37	axis	axis	NOUN
ejpam-173	4	38	)	)	PUNCT
ejpam-173	4	39	in	in	ADP
ejpam-173	4	40	known	know	VERB
ejpam-173	4	41	region	region	NOUN
ejpam-173	4	42	,	,	PUNCT
ejpam-173	4	43	we	we	PRON
ejpam-173	4	44	consider	consider	VERB
ejpam-173	4	45	this	this	DET
ejpam-173	4	46	point	point	NOUN
ejpam-173	4	47	is	be	AUX
ejpam-173	4	48	the	the	DET
ejpam-173	4	49	center	center	NOUN
ejpam-173	4	50	of	of	ADP
ejpam-173	4	51	this	this	DET
ejpam-173	4	52	region	region	NOUN
ejpam-173	4	53	and	and	CCONJ
ejpam-173	4	54	it	it	PRON
ejpam-173	4	55	is	be	AUX
ejpam-173	4	56	(	(	PUNCT
ejpam-173	4	57	0,0	0,0	NOUN
ejpam-173	4	58	)	)	PUNCT
ejpam-173	4	59	.	.	PUNCT
ejpam-173	5	1	the	the	DET
ejpam-173	5	2	two	two	NUM
ejpam-173	5	3	searchers	searcher	NOUN
ejpam-173	5	4	wanted	want	VERB
ejpam-173	5	5	to	to	PART
ejpam-173	5	6	detect	detect	VERB
ejpam-173	5	7	the	the	DET
ejpam-173	5	8	lost	lost	ADJ
ejpam-173	5	9	target	target	NOUN
ejpam-173	5	10	which	which	PRON
ejpam-173	5	11	is	be	AUX
ejpam-173	5	12	randomly	randomly	ADV
ejpam-173	5	13	located	locate	VERB
ejpam-173	5	14	on	on	ADP
ejpam-173	5	15	the	the	DET
ejpam-173	5	16	region	region	NOUN
ejpam-173	5	17	.	.	PUNCT
ejpam-173	6	1	this	this	DET
ejpam-173	6	2	lost	lose	VERB
ejpam-173	6	3	target	target	NOUN
ejpam-173	6	4	has	have	VERB
ejpam-173	6	5	symmetric	symmetric	ADJ
ejpam-173	6	6	distribution	distribution	NOUN
ejpam-173	6	7	.	.	PUNCT
ejpam-173	7	1	we	we	PRON
ejpam-173	7	2	will	will	AUX
ejpam-173	7	3	find	find	VERB
ejpam-173	7	4	the	the	DET
ejpam-173	7	5	expected	expect	VERB
ejpam-173	7	6	value	value	NOUN
ejpam-173	7	7	of	of	ADP
ejpam-173	7	8	detecting	detect	VERB
ejpam-173	7	9	the	the	DET
ejpam-173	7	10	target	target	NOUN
ejpam-173	7	11	and	and	CCONJ
ejpam-173	7	12	the	the	DET
ejpam-173	7	13	optimal	optimal	ADJ
ejpam-173	7	14	seach	seach	NOUN
ejpam-173	7	15	plan	plan	NOUN
ejpam-173	7	16	which	which	PRON
ejpam-173	7	17	minimizes	minimize	VERB
ejpam-173	7	18	this	this	DET
ejpam-173	7	19	expected	expect	VERB
ejpam-173	7	20	value	value	NOUN
ejpam-173	7	21	in	in	ADP
ejpam-173	7	22	the	the	DET
ejpam-173	7	23	case	case	NOUN
ejpam-173	7	24	of	of	ADP
ejpam-173	7	25	the	the	DET
ejpam-173	7	26	target	target	NOUN
ejpam-173	7	27	has	have	VERB
ejpam-173	7	28	a	a	DET
ejpam-173	7	29	circular	circular	ADJ
ejpam-173	7	30	normal	normal	ADJ
ejpam-173	7	31	distribution	distribution	NOUN
ejpam-173	7	32	,	,	PUNCT
ejpam-173	7	33	numerical	numerical	ADJ
ejpam-173	7	34	resluts	reslut	NOUN
ejpam-173	7	35	show	show	VERB
ejpam-173	7	36	the	the	DET
ejpam-173	7	37	effectiveness	effectiveness	NOUN
ejpam-173	7	38	of	of	ADP
ejpam-173	7	39	this	this	DET
ejpam-173	7	40	technique	technique	NOUN
ejpam-173	7	41	and	and	CCONJ
ejpam-173	7	42	demonstrates	demonstrate	VERB
ejpam-173	7	43	the	the	DET
ejpam-173	7	44	applicablity	applicablity	NOUN
ejpam-173	7	45	of	of	ADP
ejpam-173	7	46	it	it	PRON
ejpam-173	7	47	to	to	ADP
ejpam-173	7	48	real	real	ADJ
ejpam-173	7	49	world	world	NOUN
ejpam-173	7	50	search	search	NOUN
ejpam-173	7	51	scenarios	scenario	NOUN
ejpam-173	7	52	.	.	PUNCT
ejpam-173	8	1	ams	am	NOUN
ejpam-173	8	2	subject	subject	ADJ
ejpam-173	8	3	classifications	classification	NOUN
ejpam-173	8	4	:	:	PUNCT
ejpam-173	8	5	60k30	60k30	NUM
ejpam-173	8	6	,	,	PUNCT
ejpam-173	8	7	90b40	90b40	NUM
ejpam-173	8	8	.	.	PUNCT
ejpam-173	9	1	key	key	ADJ
ejpam-173	9	2	words	word	NOUN
ejpam-173	9	3	:	:	PUNCT
ejpam-173	9	4	coordinated	coordinated	ADJ
ejpam-173	9	5	search	search	NOUN
ejpam-173	9	6	,	,	PUNCT
ejpam-173	9	7	optimal	optimal	ADJ
ejpam-173	9	8	search	search	NOUN
ejpam-173	9	9	plan	plan	NOUN
ejpam-173	9	10	,	,	PUNCT
ejpam-173	9	11	symmetric	symmetric	ADJ
ejpam-173	9	12	distribution	distribution	NOUN
ejpam-173	9	13	.	.	PUNCT
ejpam-173	10	1	1	1	X
ejpam-173	10	2	.	.	X
ejpam-173	10	3	introduction	introduction	NOUN
ejpam-173	10	4	the	the	DET
ejpam-173	10	5	study	study	NOUN
ejpam-173	10	6	of	of	ADP
ejpam-173	10	7	search	search	NOUN
ejpam-173	10	8	plans	plan	NOUN
ejpam-173	10	9	for	for	ADP
ejpam-173	10	10	any	any	DET
ejpam-173	10	11	lost	lost	ADJ
ejpam-173	10	12	target	target	NOUN
ejpam-173	10	13	either	either	CCONJ
ejpam-173	10	14	located	locate	VERB
ejpam-173	10	15	or	or	CCONJ
ejpam-173	10	16	moved	move	VERB
ejpam-173	10	17	and	and	CCONJ
ejpam-173	10	18	having	have	VERB
ejpam-173	10	19	symmetric	symmetric	ADJ
ejpam-173	10	20	or	or	CCONJ
ejpam-173	10	21	unsymmetric	unsymmetric	ADJ
ejpam-173	10	22	distribution	distribution	NOUN
ejpam-173	10	23	is	be	AUX
ejpam-173	10	24	important	important	ADJ
ejpam-173	10	25	and	and	CCONJ
ejpam-173	10	26	has	have	VERB
ejpam-173	10	27	recently	recently	ADV
ejpam-173	10	28	various	various	ADJ
ejpam-173	10	29	applications	application	NOUN
ejpam-173	10	30	,	,	PUNCT
ejpam-173	10	31	such	such	ADJ
ejpam-173	10	32	as	as	ADP
ejpam-173	10	33	searching	search	VERB
ejpam-173	10	34	for	for	ADP
ejpam-173	10	35	a	a	DET
ejpam-173	10	36	faulty	faulty	ADJ
ejpam-173	10	37	unit	unit	NOUN
ejpam-173	10	38	in	in	ADP
ejpam-173	10	39	large	large	ADJ
ejpam-173	10	40	linear	linear	ADJ
ejpam-173	10	41	system	system	NOUN
ejpam-173	10	42	,	,	PUNCT
ejpam-173	10	43	such	such	ADJ
ejpam-173	10	44	as	as	ADP
ejpam-173	10	45	electrical	electrical	ADJ
ejpam-173	10	46	power	power	NOUN
ejpam-173	10	47	lines	line	NOUN
ejpam-173	10	48	,	,	PUNCT
ejpam-173	10	49	this	this	DET
ejpam-173	10	50	kind	kind	NOUN
ejpam-173	10	51	of	of	ADP
ejpam-173	10	52	search	search	NOUN
ejpam-173	10	53	is	be	AUX
ejpam-173	10	54	called	call	VERB
ejpam-173	10	55	linear	linear	ADJ
ejpam-173	10	56	search	search	NOUN
ejpam-173	10	57	problem	problem	NOUN
ejpam-173	10	58	,	,	PUNCT
ejpam-173	10	59	see	see	VERB
ejpam-173	10	60	[	[	X
ejpam-173	10	61	1	1	NUM
ejpam-173	10	62	]	]	PUNCT
ejpam-173	10	63	,	,	PUNCT
ejpam-173	10	64	[	[	X
ejpam-173	10	65	2	2	NUM
ejpam-173	10	66	]	]	PUNCT
ejpam-173	10	67	,	,	PUNCT
ejpam-173	10	68	[	[	X
ejpam-173	10	69	3	3	NUM
ejpam-173	10	70	]	]	PUNCT
ejpam-173	10	71	and	and	CCONJ
ejpam-173	10	72	[	[	X
ejpam-173	10	73	4	4	NUM
ejpam-173	10	74	]	]	PUNCT
ejpam-173	10	75	.	.	PUNCT
ejpam-173	11	1	the	the	DET
ejpam-173	11	2	coordinated	coordinate	VERB
ejpam-173	11	3	search	search	NOUN
ejpam-173	11	4	technique	technique	NOUN
ejpam-173	11	5	is	be	AUX
ejpam-173	11	6	one	one	NUM
ejpam-173	11	7	of	of	ADP
ejpam-173	11	8	a	a	DET
ejpam-173	11	9	set	set	NOUN
ejpam-173	11	10	of	of	ADP
ejpam-173	11	11	techniques	technique	NOUN
ejpam-173	11	12	,	,	PUNCT
ejpam-173	11	13	which	which	PRON
ejpam-173	11	14	studied	study	VERB
ejpam-173	11	15	on	on	ADP
ejpam-173	11	16	the	the	DET
ejpam-173	11	17	line	line	NOUN
ejpam-173	11	18	when	when	SCONJ
ejpam-173	11	19	the	the	DET
ejpam-173	11	20	target	target	NOUN
ejpam-173	11	21	has	have	VERB
ejpam-173	11	22	symmetric	symmetric	ADJ
ejpam-173	11	23	∗corresponding	∗corresponde	VERB
ejpam-173	11	24	author	author	NOUN
ejpam-173	11	25	.	.	PUNCT
ejpam-173	12	1	email	email	NOUN
ejpam-173	12	2	addresses	address	NOUN
ejpam-173	12	3	:	:	PUNCT
ejpam-173	12	4	teamah4	teamah4	X
ejpam-173	12	5	�	�	X
ejpam-173	12	6	hotmail	hotmail	NOUN
ejpam-173	12	7	.	.	PUNCT
ejpam-173	13	1	om	om	PROPN
ejpam-173	13	2	(	(	PUNCT
ejpam-173	13	3	a.	a.	PROPN
ejpam-173	13	4	el	el	PROPN
ejpam-173	13	5	-	-	PROPN
ejpam-173	13	6	moneim),hamdyabougabal	moneim),hamdyabougabal	PROPN
ejpam-173	13	7	�	�	PROPN
ejpam-173	13	8	yahoo	yahoo	PROPN
ejpam-173	13	9	.	.	PUNCT
ejpam-173	14	1	om	om	PROPN
ejpam-173	14	2	(	(	PUNCT
ejpam-173	14	3	h.	h.	PROPN
ejpam-173	14	4	gabal	gabal	PROPN
ejpam-173	14	5	)	)	PUNCT
ejpam-173	14	6	,	,	PUNCT
ejpam-173	14	7	mohamedabdallah90	mohamedabdallah90	NOUN
ejpam-173	14	8	�	�	PROPN
ejpam-173	14	9	yahoo	yahoo	PROPN
ejpam-173	14	10	.	.	PUNCT
ejpam-173	15	1	om	om	PROPN
ejpam-173	15	2	(	(	PUNCT
ejpam-173	15	3	m.	m.	PROPN
ejpam-173	15	4	el	el	PROPN
ejpam-173	15	5	-	-	PUNCT
ejpam-173	15	6	hadidy	hadidy	NOUN
ejpam-173	15	7	)	)	PUNCT
ejpam-173	15	8	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-173	15	9	97	97	NUM
ejpam-173	16	1	c	c	NOUN
ejpam-173	16	2	©	©	PROPN
ejpam-173	16	3	2009	2009	NUM
ejpam-173	16	4	ejpam	ejpam	NOUN
ejpam-173	16	5	all	all	DET
ejpam-173	16	6	rights	right	NOUN
ejpam-173	16	7	reserved	reserve	VERB
ejpam-173	16	8	.	.	PUNCT
ejpam-173	17	1	a.	a.	PROPN
ejpam-173	17	2	el	el	PROPN
ejpam-173	17	3	-	-	PUNCT
ejpam-173	17	4	moneim	moneim	PROPN
ejpam-173	17	5	,	,	PUNCT
ejpam-173	17	6	h.	h.	PROPN
ejpam-173	17	7	gabal	gabal	PROPN
ejpam-173	17	8	,	,	PUNCT
ejpam-173	17	9	and	and	CCONJ
ejpam-173	17	10	m.	m.	PROPN
ejpam-173	17	11	el	el	PROPN
ejpam-173	17	12	-	-	PUNCT
ejpam-173	17	13	hadidy	hadidy	ADJ
ejpam-173	17	14	/	/	SYM
ejpam-173	17	15	eur	eur	NOUN
ejpam-173	17	16	.	.	PUNCT
ejpam-173	18	1	j.	j.	PROPN
ejpam-173	18	2	pure	pure	PROPN
ejpam-173	18	3	appl	appl	PROPN
ejpam-173	18	4	.	.	PROPN
ejpam-173	18	5	math	math	PROPN
ejpam-173	18	6	,	,	PUNCT
ejpam-173	18	7	2	2	NUM
ejpam-173	18	8	(	(	PUNCT
ejpam-173	18	9	2009	2009	NUM
ejpam-173	18	10	)	)	PUNCT
ejpam-173	18	11	,	,	PUNCT
ejpam-173	18	12	(	(	PUNCT
ejpam-173	18	13	97	97	NUM
ejpam-173	18	14	-	-	SYM
ejpam-173	18	15	111	111	NUM
ejpam-173	18	16	)	)	PUNCT
ejpam-173	18	17	98	98	NUM
ejpam-173	18	18	or	or	CCONJ
ejpam-173	18	19	unsymmetric	unsymmetric	ADJ
ejpam-173	18	20	distribution	distribution	NOUN
ejpam-173	18	21	,	,	PUNCT
ejpam-173	18	22	see	see	VERB
ejpam-173	18	23	[	[	X
ejpam-173	18	24	5	5	NUM
ejpam-173	18	25	]	]	PUNCT
ejpam-173	18	26	,	,	PUNCT
ejpam-173	18	27	[	[	X
ejpam-173	18	28	6	6	NUM
ejpam-173	18	29	]	]	PUNCT
ejpam-173	18	30	and	and	CCONJ
ejpam-173	18	31	[	[	X
ejpam-173	18	32	7	7	NUM
ejpam-173	18	33	]	]	PUNCT
ejpam-173	18	34	.	.	PUNCT
ejpam-173	19	1	if	if	SCONJ
ejpam-173	19	2	the	the	DET
ejpam-173	19	3	target	target	NOUN
ejpam-173	19	4	located	locate	VERB
ejpam-173	19	5	on	on	ADP
ejpam-173	19	6	a	a	DET
ejpam-173	19	7	known	know	VERB
ejpam-173	19	8	region	region	NOUN
ejpam-173	19	9	,	,	PUNCT
ejpam-173	19	10	like	like	ADP
ejpam-173	19	11	petrol	petrol	NOUN
ejpam-173	19	12	or	or	CCONJ
ejpam-173	19	13	gas	gas	NOUN
ejpam-173	19	14	supply	supply	NOUN
ejpam-173	19	15	under	under	ADP
ejpam-173	19	16	ground	ground	NOUN
ejpam-173	19	17	,	,	PUNCT
ejpam-173	19	18	it	it	PRON
ejpam-173	19	19	would	would	AUX
ejpam-173	19	20	study	study	VERB
ejpam-173	19	21	,	,	PUNCT
ejpam-173	19	22	see	see	VERB
ejpam-173	19	23	[	[	X
ejpam-173	19	24	8	8	NUM
ejpam-173	19	25	]	]	PUNCT
ejpam-173	19	26	,	,	PUNCT
ejpam-173	19	27	but	but	CCONJ
ejpam-173	19	28	if	if	SCONJ
ejpam-173	19	29	it	it	PRON
ejpam-173	19	30	moved	move	VERB
ejpam-173	19	31	,	,	PUNCT
ejpam-173	19	32	like	like	ADP
ejpam-173	19	33	missing	miss	VERB
ejpam-173	19	34	boats	boat	NOUN
ejpam-173	19	35	,	,	PUNCT
ejpam-173	19	36	submarines	submarine	NOUN
ejpam-173	19	37	and	and	CCONJ
ejpam-173	19	38	missing	miss	VERB
ejpam-173	19	39	system	system	NOUN
ejpam-173	19	40	,	,	PUNCT
ejpam-173	19	41	a	a	DET
ejpam-173	19	42	bayesian	bayesian	NOUN
ejpam-173	19	43	approach	approach	NOUN
ejpam-173	19	44	would	would	AUX
ejpam-173	19	45	formulate	formulate	VERB
ejpam-173	19	46	for	for	ADP
ejpam-173	19	47	a	a	DET
ejpam-173	19	48	target	target	NOUN
ejpam-173	19	49	whose	whose	DET
ejpam-173	19	50	prior	prior	ADJ
ejpam-173	19	51	distribution	distribution	NOUN
ejpam-173	19	52	and	and	CCONJ
ejpam-173	19	53	probabilistic	probabilistic	ADJ
ejpam-173	19	54	motion	motion	NOUN
ejpam-173	19	55	model	model	NOUN
ejpam-173	19	56	are	be	AUX
ejpam-173	19	57	known	know	VERB
ejpam-173	19	58	and	and	CCONJ
ejpam-173	19	59	generalized	generalize	VERB
ejpam-173	19	60	the	the	DET
ejpam-173	19	61	approach	approach	NOUN
ejpam-173	19	62	for	for	ADP
ejpam-173	19	63	multi	multi	ADJ
ejpam-173	19	64	-	-	ADJ
ejpam-173	19	65	vehicle	vehicle	NOUN
ejpam-173	19	66	search	search	NOUN
ejpam-173	19	67	,	,	PUNCT
ejpam-173	19	68	see	see	VERB
ejpam-173	19	69	[	[	X
ejpam-173	19	70	9	9	NUM
ejpam-173	19	71	]	]	PUNCT
ejpam-173	19	72	and	and	CCONJ
ejpam-173	19	73	[	[	X
ejpam-173	19	74	10	10	NUM
ejpam-173	19	75	]	]	PUNCT
ejpam-173	19	76	.	.	PUNCT
ejpam-173	20	1	similary	similary	PROPN
ejpam-173	20	2	,	,	PUNCT
ejpam-173	20	3	the	the	DET
ejpam-173	20	4	tracking	tracking	NOUN
ejpam-173	20	5	study	study	NOUN
ejpam-173	20	6	commenced	commence	VERB
ejpam-173	20	7	with	with	ADP
ejpam-173	20	8	a	a	DET
ejpam-173	20	9	simple	simple	ADJ
ejpam-173	20	10	feedback	feedback	NOUN
ejpam-173	20	11	motion	motion	NOUN
ejpam-173	20	12	tracking	track	VERB
ejpam-173	20	13	algorithm	algorithm	NOUN
ejpam-173	20	14	,	,	PUNCT
ejpam-173	20	15	and	and	CCONJ
ejpam-173	20	16	has	have	AUX
ejpam-173	20	17	evolved	evolve	VERB
ejpam-173	20	18	with	with	ADP
ejpam-173	20	19	the	the	DET
ejpam-173	20	20	developements	developement	NOUN
ejpam-173	20	21	of	of	ADP
ejpam-173	20	22	a	a	DET
ejpam-173	20	23	number	number	NOUN
ejpam-173	20	24	of	of	ADP
ejpam-173	20	25	recursive	recursive	ADJ
ejpam-173	20	26	filtering	filtering	NOUN
ejpam-173	20	27	techniques	technique	NOUN
ejpam-173	20	28	,	,	PUNCT
ejpam-173	20	29	see	see	VERB
ejpam-173	20	30	[	[	X
ejpam-173	20	31	11	11	NUM
ejpam-173	20	32	]	]	PUNCT
ejpam-173	20	33	.	.	PUNCT
ejpam-173	21	1	the	the	DET
ejpam-173	21	2	primary	primary	ADJ
ejpam-173	21	3	concern	concern	NOUN
ejpam-173	21	4	of	of	ADP
ejpam-173	21	5	the	the	DET
ejpam-173	21	6	paper	paper	NOUN
ejpam-173	21	7	thus	thus	ADV
ejpam-173	21	8	lies	lie	VERB
ejpam-173	21	9	in	in	ADP
ejpam-173	21	10	the	the	DET
ejpam-173	21	11	coordinated	coordinate	VERB
ejpam-173	21	12	search	search	NOUN
ejpam-173	21	13	technique	technique	NOUN
ejpam-173	21	14	which	which	PRON
ejpam-173	21	15	allows	allow	VERB
ejpam-173	21	16	two	two	NUM
ejpam-173	21	17	searchers	searcher	NOUN
ejpam-173	21	18	s1	s1	NOUN
ejpam-173	21	19	and	and	CCONJ
ejpam-173	21	20	s2	s2	PROPN
ejpam-173	21	21	start	start	VERB
ejpam-173	21	22	together	together	ADV
ejpam-173	21	23	and	and	CCONJ
ejpam-173	21	24	looking	look	VERB
ejpam-173	21	25	for	for	ADP
ejpam-173	21	26	the	the	DET
ejpam-173	21	27	target	target	NOUN
ejpam-173	21	28	from	from	ADP
ejpam-173	21	29	the	the	DET
ejpam-173	21	30	point	point	NOUN
ejpam-173	21	31	(	(	PUNCT
ejpam-173	21	32	0,0	0,0	NUM
ejpam-173	21	33	)	)	PUNCT
ejpam-173	21	34	(	(	PUNCT
ejpam-173	21	35	center	center	NOUN
ejpam-173	21	36	of	of	ADP
ejpam-173	21	37	the	the	DET
ejpam-173	21	38	known	know	VERB
ejpam-173	21	39	region	region	NOUN
ejpam-173	21	40	)	)	PUNCT
ejpam-173	21	41	,	,	PUNCT
ejpam-173	21	42	where	where	SCONJ
ejpam-173	21	43	the	the	DET
ejpam-173	21	44	region	region	NOUN
ejpam-173	21	45	is	be	AUX
ejpam-173	21	46	devided	devide	VERB
ejpam-173	21	47	by	by	ADP
ejpam-173	21	48	two	two	NUM
ejpam-173	21	49	roads	road	NOUN
ejpam-173	21	50	and	and	CCONJ
ejpam-173	21	51	they	they	PRON
ejpam-173	21	52	intersect	intersect	VERB
ejpam-173	21	53	in	in	ADP
ejpam-173	21	54	the	the	DET
ejpam-173	21	55	center	center	NOUN
ejpam-173	21	56	of	of	ADP
ejpam-173	21	57	this	this	DET
ejpam-173	21	58	region	region	NOUN
ejpam-173	21	59	,	,	PUNCT
ejpam-173	21	60	one	one	NUM
ejpam-173	21	61	of	of	ADP
ejpam-173	21	62	these	these	DET
ejpam-173	21	63	roads	road	NOUN
ejpam-173	21	64	is	be	AUX
ejpam-173	21	65	horizintal	horizintal	ADJ
ejpam-173	21	66	(	(	PUNCT
ejpam-173	21	67	y	y	NOUN
ejpam-173	21	68	-	-	PUNCT
ejpam-173	21	69	axis	axis	NOUN
ejpam-173	21	70	)	)	PUNCT
ejpam-173	21	71	and	and	CCONJ
ejpam-173	21	72	the	the	DET
ejpam-173	21	73	other	other	ADJ
ejpam-173	21	74	is	be	AUX
ejpam-173	21	75	vertical	vertical	ADJ
ejpam-173	21	76	(	(	PUNCT
ejpam-173	21	77	x	x	SYM
ejpam-173	21	78	-axis	-axis	NOUN
ejpam-173	21	79	)	)	PUNCT
ejpam-173	21	80	.	.	PUNCT
ejpam-173	22	1	we	we	PRON
ejpam-173	22	2	will	will	AUX
ejpam-173	22	3	devide	devide	VERB
ejpam-173	22	4	the	the	DET
ejpam-173	22	5	region	region	NOUN
ejpam-173	22	6	to	to	ADP
ejpam-173	22	7	many	many	ADJ
ejpam-173	22	8	circles	circle	NOUN
ejpam-173	22	9	as	as	ADP
ejpam-173	22	10	in	in	ADP
ejpam-173	22	11	fig.1	fig.1	PROPN
ejpam-173	22	12	.	.	PUNCT
ejpam-173	23	1	figure	figure	NOUN
ejpam-173	23	2	1	1	NUM
ejpam-173	23	3	the	the	DET
ejpam-173	23	4	searcher	searcher	ADJ
ejpam-173	23	5	s1	s1	NOUN
ejpam-173	23	6	searchs	search	NOUN
ejpam-173	23	7	on	on	ADP
ejpam-173	23	8	the	the	DET
ejpam-173	23	9	right	right	ADJ
ejpam-173	23	10	hand	hand	NOUN
ejpam-173	23	11	side	side	NOUN
ejpam-173	23	12	of	of	ADP
ejpam-173	23	13	the	the	DET
ejpam-173	23	14	horizintal	horizintal	ADJ
ejpam-173	23	15	road	road	NOUN
ejpam-173	23	16	and	and	CCONJ
ejpam-173	23	17	the	the	DET
ejpam-173	23	18	searcher	searcher	ADJ
ejpam-173	23	19	s2	s2	NOUN
ejpam-173	23	20	searchs	search	NOUN
ejpam-173	23	21	on	on	ADP
ejpam-173	23	22	the	the	DET
ejpam-173	23	23	left	left	ADJ
ejpam-173	23	24	hand	hand	NOUN
ejpam-173	23	25	side	side	NOUN
ejpam-173	23	26	of	of	ADP
ejpam-173	23	27	the	the	DET
ejpam-173	23	28	horizintal	horizintal	ADJ
ejpam-173	23	29	road	road	NOUN
ejpam-173	23	30	.	.	PUNCT
ejpam-173	24	1	they	they	PRON
ejpam-173	24	2	are	be	AUX
ejpam-173	24	3	start	start	VERB
ejpam-173	24	4	together	together	ADV
ejpam-173	24	5	from	from	ADP
ejpam-173	24	6	the	the	DET
ejpam-173	24	7	point	point	NOUN
ejpam-173	24	8	(	(	PUNCT
ejpam-173	24	9	0,0	0,0	NOUN
ejpam-173	24	10	)	)	PUNCT
ejpam-173	24	11	,	,	PUNCT
ejpam-173	24	12	the	the	DET
ejpam-173	24	13	searcher	searcher	ADJ
ejpam-173	24	14	s1	s1	NOUN
ejpam-173	24	15	goes	go	VERB
ejpam-173	24	16	through	through	ADP
ejpam-173	24	17	a	a	DET
ejpam-173	24	18	−ve	−ve	NUM
ejpam-173	24	19	part	part	NOUN
ejpam-173	24	20	on	on	ADP
ejpam-173	24	21	y	y	NOUN
ejpam-173	24	22	-	-	PUNCT
ejpam-173	24	23	axis	axis	NOUN
ejpam-173	24	24	with	with	ADP
ejpam-173	24	25	adistance	adistance	NOUN
ejpam-173	24	26	a1	a1	NOUN
ejpam-173	24	27	(	(	PUNCT
ejpam-173	24	28	redius	redius	ADJ
ejpam-173	24	29	of	of	ADP
ejpam-173	24	30	the	the	DET
ejpam-173	24	31	first	first	ADJ
ejpam-173	24	32	circle	circle	NOUN
ejpam-173	24	33	)	)	PUNCT
ejpam-173	24	34	and	and	CCONJ
ejpam-173	24	35	then	then	ADV
ejpam-173	24	36	he	he	PRON
ejpam-173	24	37	starts	start	VERB
ejpam-173	24	38	searching	search	VERB
ejpam-173	24	39	on	on	ADP
ejpam-173	24	40	the	the	DET
ejpam-173	24	41	sector	sector	NOUN
ejpam-173	24	42	h1	h1	NOUN
ejpam-173	24	43	,	,	PUNCT
ejpam-173	24	44	after	after	SCONJ
ejpam-173	24	45	finishing	finish	VERB
ejpam-173	24	46	the	the	DET
ejpam-173	24	47	search	search	NOUN
ejpam-173	24	48	on	on	ADP
ejpam-173	24	49	h1	h1	PROPN
ejpam-173	24	50	he	he	PRON
ejpam-173	24	51	arrives	arrive	VERB
ejpam-173	24	52	a.	a.	PROPN
ejpam-173	24	53	el	el	PROPN
ejpam-173	24	54	-	-	PUNCT
ejpam-173	24	55	moneim	moneim	PROPN
ejpam-173	24	56	,	,	PUNCT
ejpam-173	24	57	h.	h.	PROPN
ejpam-173	24	58	gabal	gabal	PROPN
ejpam-173	24	59	,	,	PUNCT
ejpam-173	24	60	and	and	CCONJ
ejpam-173	24	61	m.	m.	PROPN
ejpam-173	24	62	el	el	PROPN
ejpam-173	24	63	-	-	PUNCT
ejpam-173	24	64	hadidy	hadidy	ADJ
ejpam-173	24	65	/	/	SYM
ejpam-173	24	66	eur	eur	NOUN
ejpam-173	24	67	.	.	PUNCT
ejpam-173	25	1	j.	j.	PROPN
ejpam-173	25	2	pure	pure	PROPN
ejpam-173	25	3	appl	appl	PROPN
ejpam-173	25	4	.	.	PROPN
ejpam-173	25	5	math	math	PROPN
ejpam-173	25	6	,	,	PUNCT
ejpam-173	25	7	2	2	NUM
ejpam-173	25	8	(	(	PUNCT
ejpam-173	25	9	2009	2009	NUM
ejpam-173	25	10	)	)	PUNCT
ejpam-173	25	11	,	,	PUNCT
ejpam-173	25	12	(	(	PUNCT
ejpam-173	25	13	97	97	NUM
ejpam-173	25	14	-	-	SYM
ejpam-173	25	15	111	111	NUM
ejpam-173	25	16	)	)	PUNCT
ejpam-173	25	17	99	99	NUM
ejpam-173	25	18	to	to	PART
ejpam-173	25	19	y	y	NOUN
ejpam-173	25	20	-	-	PUNCT
ejpam-173	25	21	axis	axis	NOUN
ejpam-173	25	22	again	again	ADV
ejpam-173	25	23	,	,	PUNCT
ejpam-173	25	24	then	then	ADV
ejpam-173	25	25	he	he	PRON
ejpam-173	25	26	returns	return	VERB
ejpam-173	25	27	through	through	ADP
ejpam-173	25	28	the	the	DET
ejpam-173	25	29	same	same	ADJ
ejpam-173	25	30	distance	distance	NOUN
ejpam-173	25	31	a1	a1	NOUN
ejpam-173	25	32	on	on	ADP
ejpam-173	25	33	+	+	NOUN
ejpam-173	25	34	ve	ve	NOUN
ejpam-173	25	35	part	part	NOUN
ejpam-173	25	36	on	on	ADP
ejpam-173	25	37	y	y	NOUN
ejpam-173	25	38	-	-	PUNCT
ejpam-173	25	39	axis	axis	NOUN
ejpam-173	25	40	to	to	ADP
ejpam-173	25	41	the	the	DET
ejpam-173	25	42	starting	starting	NOUN
ejpam-173	25	43	point	point	NOUN
ejpam-173	25	44	(	(	PUNCT
ejpam-173	25	45	0,0),also	0,0),also	ADV
ejpam-173	25	46	the	the	DET
ejpam-173	25	47	searcher	searcher	ADJ
ejpam-173	25	48	s2	s2	NOUN
ejpam-173	25	49	goes	go	VERB
ejpam-173	25	50	through	through	ADP
ejpam-173	25	51	a	a	DET
ejpam-173	25	52	+	+	PROPN
ejpam-173	25	53	ve	ve	NOUN
ejpam-173	25	54	part	part	NOUN
ejpam-173	25	55	on	on	ADP
ejpam-173	25	56	y	y	NOUN
ejpam-173	25	57	-	-	PUNCT
ejpam-173	25	58	axis	axis	NOUN
ejpam-173	25	59	with	with	ADP
ejpam-173	25	60	adistance	adistance	NOUN
ejpam-173	25	61	a1	a1	NOUN
ejpam-173	25	62	(	(	PUNCT
ejpam-173	25	63	redius	redius	ADJ
ejpam-173	25	64	of	of	ADP
ejpam-173	25	65	the	the	DET
ejpam-173	25	66	circles	circle	NOUN
ejpam-173	25	67	)	)	PUNCT
ejpam-173	25	68	and	and	CCONJ
ejpam-173	25	69	then	then	ADV
ejpam-173	25	70	he	he	PRON
ejpam-173	25	71	starts	start	VERB
ejpam-173	25	72	searching	search	VERB
ejpam-173	25	73	on	on	ADP
ejpam-173	25	74	the	the	DET
ejpam-173	25	75	sector	sector	NOUN
ejpam-173	25	76	g1	g1	NOUN
ejpam-173	25	77	,	,	PUNCT
ejpam-173	25	78	after	after	ADP
ejpam-173	25	79	finishing	finish	VERB
ejpam-173	25	80	the	the	DET
ejpam-173	25	81	search	search	NOUN
ejpam-173	25	82	on	on	ADP
ejpam-173	25	83	g1	g1	PROPN
ejpam-173	25	84	he	he	PRON
ejpam-173	25	85	arrives	arrive	VERB
ejpam-173	25	86	to	to	ADP
ejpam-173	25	87	y	y	NOUN
ejpam-173	25	88	-	-	PUNCT
ejpam-173	25	89	axis	axis	NOUN
ejpam-173	25	90	again	again	ADV
ejpam-173	25	91	,	,	PUNCT
ejpam-173	25	92	then	then	ADV
ejpam-173	25	93	he	he	PRON
ejpam-173	25	94	returns	return	VERB
ejpam-173	25	95	through	through	ADP
ejpam-173	25	96	the	the	DET
ejpam-173	25	97	same	same	ADJ
ejpam-173	25	98	distance	distance	NOUN
ejpam-173	25	99	a1	a1	NOUN
ejpam-173	25	100	on	on	ADP
ejpam-173	25	101	−ve	−ve	NUM
ejpam-173	25	102	part	part	NOUN
ejpam-173	25	103	on	on	ADP
ejpam-173	25	104	y	y	NOUN
ejpam-173	25	105	-	-	PUNCT
ejpam-173	25	106	axis	axis	NOUN
ejpam-173	25	107	to	to	ADP
ejpam-173	25	108	the	the	DET
ejpam-173	25	109	starting	starting	NOUN
ejpam-173	25	110	point	point	NOUN
ejpam-173	25	111	(	(	PUNCT
ejpam-173	25	112	0,0	0,0	NOUN
ejpam-173	25	113	)	)	PUNCT
ejpam-173	25	114	.	.	PUNCT
ejpam-173	26	1	the	the	DET
ejpam-173	26	2	searchers	searcher	NOUN
ejpam-173	26	3	arrive	arrive	VERB
ejpam-173	26	4	to	to	ADP
ejpam-173	26	5	the	the	DET
ejpam-173	26	6	starting	starting	NOUN
ejpam-173	26	7	point	point	NOUN
ejpam-173	26	8	at	at	ADP
ejpam-173	26	9	the	the	DET
ejpam-173	26	10	same	same	ADJ
ejpam-173	26	11	moment	moment	NOUN
ejpam-173	26	12	to	to	PART
ejpam-173	26	13	tell	tell	VERB
ejpam-173	26	14	each	each	DET
ejpam-173	26	15	other	other	ADJ
ejpam-173	26	16	if	if	SCONJ
ejpam-173	26	17	one	one	NUM
ejpam-173	26	18	of	of	ADP
ejpam-173	26	19	them	they	PRON
ejpam-173	26	20	has	have	AUX
ejpam-173	26	21	detected	detect	VERB
ejpam-173	26	22	the	the	DET
ejpam-173	26	23	target	target	NOUN
ejpam-173	26	24	or	or	CCONJ
ejpam-173	26	25	not	not	PART
ejpam-173	26	26	.	.	PUNCT
ejpam-173	27	1	if	if	SCONJ
ejpam-173	27	2	one	one	NUM
ejpam-173	27	3	of	of	ADP
ejpam-173	27	4	them	they	PRON
ejpam-173	27	5	detect	detect	VERB
ejpam-173	27	6	it	it	PRON
ejpam-173	27	7	then	then	ADV
ejpam-173	27	8	he	he	PRON
ejpam-173	27	9	will	will	AUX
ejpam-173	27	10	tell	tell	VERB
ejpam-173	27	11	the	the	DET
ejpam-173	27	12	other	other	ADJ
ejpam-173	27	13	or	or	CCONJ
ejpam-173	27	14	they	they	PRON
ejpam-173	27	15	do	do	VERB
ejpam-173	27	16	the	the	DET
ejpam-173	27	17	previous	previous	ADJ
ejpam-173	27	18	path	path	NOUN
ejpam-173	27	19	in	in	ADP
ejpam-173	27	20	the	the	DET
ejpam-173	27	21	second	second	ADJ
ejpam-173	27	22	circle	circle	NOUN
ejpam-173	27	23	with	with	ADP
ejpam-173	27	24	another	another	DET
ejpam-173	27	25	redius	redius	ADJ
ejpam-173	27	26	a2	a2	PROPN
ejpam-173	27	27	and	and	CCONJ
ejpam-173	27	28	so	so	ADV
ejpam-173	27	29	on	on	ADV
ejpam-173	27	30	.	.	PUNCT
ejpam-173	28	1	the	the	DET
ejpam-173	28	2	searchers	searcher	NOUN
ejpam-173	28	3	wish	wish	VERB
ejpam-173	28	4	to	to	PART
ejpam-173	28	5	minimize	minimize	VERB
ejpam-173	28	6	the	the	DET
ejpam-173	28	7	expected	expect	VERB
ejpam-173	28	8	time	time	NOUN
ejpam-173	28	9	to	to	PART
ejpam-173	28	10	detect	detect	VERB
ejpam-173	28	11	the	the	DET
ejpam-173	28	12	target	target	NOUN
ejpam-173	28	13	.	.	PUNCT
ejpam-173	29	1	in	in	ADP
ejpam-173	29	2	this	this	DET
ejpam-173	29	3	problem	problem	NOUN
ejpam-173	29	4	we	we	PRON
ejpam-173	29	5	consider	consider	VERB
ejpam-173	29	6	the	the	DET
ejpam-173	29	7	searchers	searcher	NOUN
ejpam-173	29	8	search	search	VERB
ejpam-173	29	9	only	only	ADV
ejpam-173	29	10	on	on	ADP
ejpam-173	29	11	the	the	DET
ejpam-173	29	12	sectors	sector	NOUN
ejpam-173	29	13	and	and	CCONJ
ejpam-173	29	14	it	it	PRON
ejpam-173	29	15	’s	’	VERB
ejpam-173	29	16	tracks	track	NOUN
ejpam-173	29	17	as	as	ADP
ejpam-173	29	18	in	in	ADP
ejpam-173	29	19	fig	fig	NOUN
ejpam-173	29	20	.	.	PUNCT
ejpam-173	30	1	1	1	NUM
ejpam-173	30	2	,	,	PUNCT
ejpam-173	30	3	any	any	DET
ejpam-173	30	4	one	one	NUM
ejpam-173	30	5	of	of	ADP
ejpam-173	30	6	these	these	DET
ejpam-173	30	7	tracks	track	NOUN
ejpam-173	30	8	has	have	AUX
ejpam-173	30	9	width	width	VERB
ejpam-173	30	10	ai	ai	VERB
ejpam-173	30	11	−	−	PROPN
ejpam-173	30	12	ai−1	ai−1	PROPN
ejpam-173	30	13	to	to	PART
ejpam-173	30	14	cover	cover	VERB
ejpam-173	30	15	all	all	DET
ejpam-173	30	16	area	area	NOUN
ejpam-173	30	17	and	and	CCONJ
ejpam-173	30	18	not	not	PART
ejpam-173	30	19	neglect	neglect	NOUN
ejpam-173	30	20	any	any	DET
ejpam-173	30	21	part	part	NOUN
ejpam-173	30	22	,	,	PUNCT
ejpam-173	30	23	but	but	CCONJ
ejpam-173	30	24	they	they	PRON
ejpam-173	30	25	go	go	VERB
ejpam-173	30	26	through	through	ADP
ejpam-173	30	27	y	y	NOUN
ejpam-173	30	28	-	-	PUNCT
ejpam-173	30	29	axis	axis	NOUN
ejpam-173	30	30	(	(	PUNCT
ejpam-173	30	31	+	+	NOUN
ejpam-173	30	32	ve	ve	VERB
ejpam-173	30	33	and	and	CCONJ
ejpam-173	30	34	−ve	−ve	NOUN
ejpam-173	30	35	)	)	PUNCT
ejpam-173	30	36	only	only	ADV
ejpam-173	30	37	witout	witout	AUX
ejpam-173	30	38	searching	search	VERB
ejpam-173	30	39	.	.	PUNCT
ejpam-173	31	1	let	let	VERB
ejpam-173	31	2	(	(	PUNCT
ejpam-173	31	3	x	x	X
ejpam-173	31	4	,	,	PUNCT
ejpam-173	31	5	y	y	PROPN
ejpam-173	31	6	)	)	PUNCT
ejpam-173	31	7	be	be	AUX
ejpam-173	31	8	two	two	NUM
ejpam-173	31	9	indpendent	indpendent	ADJ
ejpam-173	31	10	random	random	ADJ
ejpam-173	31	11	variables	variable	NOUN
ejpam-173	31	12	which	which	PRON
ejpam-173	31	13	they	they	PRON
ejpam-173	31	14	are	be	AUX
ejpam-173	31	15	represent	represent	VERB
ejpam-173	31	16	the	the	DET
ejpam-173	31	17	position	position	NOUN
ejpam-173	31	18	of	of	ADP
ejpam-173	31	19	the	the	DET
ejpam-173	31	20	located	locate	VERB
ejpam-173	31	21	target	target	NOUN
ejpam-173	31	22	in	in	ADP
ejpam-173	31	23	the	the	DET
ejpam-173	31	24	region	region	NOUN
ejpam-173	31	25	.	.	PUNCT
ejpam-173	32	1	any	any	DET
ejpam-173	32	2	track	track	NOUN
ejpam-173	32	3	has	have	AUX
ejpam-173	32	4	width	width	VERB
ejpam-173	32	5	ai	ai	VERB
ejpam-173	32	6	−	−	PROPN
ejpam-173	32	7	ai−1	ai−1	PROPN
ejpam-173	32	8	,	,	PUNCT
ejpam-173	32	9	such	such	ADJ
ejpam-173	32	10	that	that	SCONJ
ejpam-173	32	11	,	,	PUNCT
ejpam-173	32	12	when	when	SCONJ
ejpam-173	32	13	any	any	DET
ejpam-173	32	14	searcher	searcher	ADV
ejpam-173	32	15	moves	move	VERB
ejpam-173	32	16	on	on	ADP
ejpam-173	32	17	the	the	DET
ejpam-173	32	18	sector	sector	NOUN
ejpam-173	32	19	of	of	ADP
ejpam-173	32	20	any	any	DET
ejpam-173	32	21	circle	circle	NOUN
ejpam-173	32	22	they	they	PRON
ejpam-173	32	23	cover	cover	VERB
ejpam-173	32	24	track	track	NOUN
ejpam-173	32	25	with	with	ADP
ejpam-173	32	26	width	width	NOUN
ejpam-173	32	27	ai	ai	VERB
ejpam-173	32	28	−	−	PROPN
ejpam-173	32	29	ai−1	ai−1	PROPN
ejpam-173	32	30	(	(	PUNCT
ejpam-173	32	31	i.e.	i.e.	X
ejpam-173	32	32	search	search	NOUN
ejpam-173	32	33	on	on	ADP
ejpam-173	32	34	one	one	NUM
ejpam-173	32	35	direction	direction	NOUN
ejpam-173	32	36	(	(	PUNCT
ejpam-173	32	37	inside	inside	ADP
ejpam-173	32	38	of	of	ADP
ejpam-173	32	39	the	the	DET
ejpam-173	32	40	sector	sector	NOUN
ejpam-173	32	41	)	)	PUNCT
ejpam-173	32	42	of	of	ADP
ejpam-173	32	43	its	its	PRON
ejpam-173	32	44	position	position	NOUN
ejpam-173	32	45	)	)	PUNCT
ejpam-173	32	46	.	.	PUNCT
ejpam-173	33	1	the	the	DET
ejpam-173	33	2	searchers	searcher	NOUN
ejpam-173	33	3	goes	go	VERB
ejpam-173	33	4	on	on	ADP
ejpam-173	33	5	y	y	NOUN
ejpam-173	33	6	-	-	PUNCT
ejpam-173	33	7	axis	axis	NOUN
ejpam-173	33	8	(	(	PUNCT
ejpam-173	33	9	+	+	NOUN
ejpam-173	33	10	ve	ve	VERB
ejpam-173	33	11	and	and	CCONJ
ejpam-173	33	12	−ve	−ve	NUM
ejpam-173	33	13	parts	part	NOUN
ejpam-173	33	14	)	)	PUNCT
ejpam-173	33	15	as	as	ADP
ejpam-173	33	16	in	in	ADP
ejpam-173	33	17	the	the	DET
ejpam-173	33	18	above	above	ADJ
ejpam-173	33	19	steps	step	NOUN
ejpam-173	33	20	with	with	ADP
ejpam-173	33	21	equal	equal	ADJ
ejpam-173	33	22	speeds	speed	NOUN
ejpam-173	33	23	(	(	PUNCT
ejpam-173	33	24	v1and	v1and	NOUN
ejpam-173	33	25	v2	v2	NOUN
ejpam-173	33	26	)	)	PUNCT
ejpam-173	33	27	,	,	PUNCT
ejpam-173	33	28	and	and	CCONJ
ejpam-173	33	29	searches	search	NOUN
ejpam-173	33	30	with	with	ADP
ejpam-173	33	31	"	"	PUNCT
ejpam-173	33	32	regular	regular	ADJ
ejpam-173	33	33	speed	speed	NOUN
ejpam-173	33	34	"	"	PUNCT
ejpam-173	33	35	v3	v3	PROPN
ejpam-173	33	36	on	on	ADP
ejpam-173	33	37	the	the	DET
ejpam-173	33	38	sectors	sector	NOUN
ejpam-173	33	39	and	and	CCONJ
ejpam-173	33	40	it	it	PRON
ejpam-173	33	41	’s	’	VERB
ejpam-173	33	42	tracks	track	NOUN
ejpam-173	33	43	,	,	PUNCT
ejpam-173	33	44	they	they	PRON
ejpam-173	33	45	return	return	VERB
ejpam-173	33	46	to	to	ADP
ejpam-173	33	47	(	(	PUNCT
ejpam-173	33	48	0,0	0,0	NOUN
ejpam-173	33	49	)	)	PUNCT
ejpam-173	33	50	after	after	ADP
ejpam-173	33	51	searching	search	VERB
ejpam-173	33	52	successively	successively	ADV
ejpam-173	33	53	through	through	ADP
ejpam-173	33	54	y	y	NOUN
ejpam-173	33	55	-	-	PUNCT
ejpam-173	33	56	axis	axis	NOUN
ejpam-173	33	57	(	(	PUNCT
ejpam-173	33	58	+	+	NOUN
ejpam-173	33	59	ve	ve	VERB
ejpam-173	33	60	and	and	CCONJ
ejpam-173	33	61	−ve	−ve	NUM
ejpam-173	33	62	parts	part	NOUN
ejpam-173	33	63	)	)	PUNCT
ejpam-173	33	64	until	until	SCONJ
ejpam-173	33	65	the	the	DET
ejpam-173	33	66	target	target	NOUN
ejpam-173	33	67	is	be	AUX
ejpam-173	33	68	detect	detect	NOUN
ejpam-173	33	69	.	.	PUNCT
ejpam-173	34	1	our	our	PRON
ejpam-173	34	2	aim	aim	NOUN
ejpam-173	34	3	is	be	AUX
ejpam-173	34	4	to	to	PART
ejpam-173	34	5	calculate	calculate	VERB
ejpam-173	34	6	the	the	DET
ejpam-173	34	7	expected	expect	VERB
ejpam-173	34	8	value	value	NOUN
ejpam-173	34	9	of	of	ADP
ejpam-173	34	10	the	the	DET
ejpam-173	34	11	time	time	NOUN
ejpam-173	34	12	for	for	ADP
ejpam-173	34	13	detecting	detect	VERB
ejpam-173	34	14	the	the	DET
ejpam-173	34	15	target	target	NOUN
ejpam-173	34	16	;	;	PUNCT
ejpam-173	34	17	also	also	ADV
ejpam-173	34	18	we	we	PRON
ejpam-173	34	19	wish	wish	VERB
ejpam-173	34	20	to	to	PART
ejpam-173	34	21	find	find	VERB
ejpam-173	34	22	the	the	DET
ejpam-173	34	23	optimal	optimal	ADJ
ejpam-173	34	24	search	search	NOUN
ejpam-173	34	25	plan	plan	NOUN
ejpam-173	34	26	(	(	PUNCT
ejpam-173	34	27	o.s.p	o.s.p	NOUN
ejpam-173	34	28	.	.	PUNCT
ejpam-173	34	29	)	)	PUNCT
ejpam-173	34	30	to	to	PART
ejpam-173	34	31	detect	detect	VERB
ejpam-173	34	32	it	it	PRON
ejpam-173	34	33	.	.	PUNCT
ejpam-173	35	1	2	2	X
ejpam-173	35	2	.	.	X
ejpam-173	35	3	the	the	DET
ejpam-173	35	4	search	search	NOUN
ejpam-173	35	5	path	path	NOUN
ejpam-173	35	6	the	the	DET
ejpam-173	35	7	searchers	searcher	NOUN
ejpam-173	35	8	s1	s1	PROPN
ejpam-173	35	9	and	and	CCONJ
ejpam-173	35	10	s2	s2	PROPN
ejpam-173	35	11	follow	follow	VERB
ejpam-173	35	12	search	search	NOUN
ejpam-173	35	13	paths	path	NOUN
ejpam-173	35	14	e	e	NOUN
ejpam-173	35	15	and	and	CCONJ
ejpam-173	35	16	f	f	PROPN
ejpam-173	35	17	,	,	PUNCT
ejpam-173	35	18	respectively	respectively	ADV
ejpam-173	35	19	to	to	PART
ejpam-173	35	20	detect	detect	VERB
ejpam-173	35	21	the	the	DET
ejpam-173	35	22	target	target	NOUN
ejpam-173	35	23	.	.	PUNCT
ejpam-173	36	1	the	the	DET
ejpam-173	36	2	first	first	ADJ
ejpam-173	36	3	search	search	NOUN
ejpam-173	36	4	path	path	NOUN
ejpam-173	36	5	e1	e1	NOUN
ejpam-173	36	6	of	of	ADP
ejpam-173	36	7	s1	s1	NOUN
ejpam-173	36	8	is	be	AUX
ejpam-173	36	9	defined	define	VERB
ejpam-173	36	10	as	as	SCONJ
ejpam-173	36	11	follows	follow	VERB
ejpam-173	36	12	:	:	PUNCT
ejpam-173	36	13	the	the	DET
ejpam-173	36	14	searcher	searcher	ADJ
ejpam-173	36	15	s1	s1	NOUN
ejpam-173	36	16	goes	go	VERB
ejpam-173	36	17	a	a	DET
ejpam-173	36	18	distance	distance	NOUN
ejpam-173	36	19	a1	a1	NOUN
ejpam-173	36	20	,	,	PUNCT
ejpam-173	36	21	through	through	ADP
ejpam-173	36	22	a	a	DET
ejpam-173	36	23	−ve	−ve	NUM
ejpam-173	36	24	part	part	NOUN
ejpam-173	36	25	in	in	ADP
ejpam-173	36	26	y	y	NOUN
ejpam-173	36	27	-	-	PUNCT
ejpam-173	36	28	axis	axis	NOUN
ejpam-173	36	29	,	,	PUNCT
ejpam-173	36	30	after	after	SCONJ
ejpam-173	36	31	that	that	SCONJ
ejpam-173	36	32	he	he	PRON
ejpam-173	36	33	searchs	search	VERB
ejpam-173	36	34	on	on	ADP
ejpam-173	36	35	the	the	DET
ejpam-173	36	36	sector	sector	NOUN
ejpam-173	36	37	h1	h1	NOUN
ejpam-173	36	38	and	and	CCONJ
ejpam-173	36	39	it	it	PRON
ejpam-173	36	40	’s	’	VERB
ejpam-173	36	41	track	track	NOUN
ejpam-173	36	42	,	,	PUNCT
ejpam-173	36	43	then	then	ADV
ejpam-173	36	44	he	he	PRON
ejpam-173	36	45	returns	return	VERB
ejpam-173	36	46	to	to	ADP
ejpam-173	36	47	the	the	DET
ejpam-173	36	48	origin	origin	NOUN
ejpam-173	36	49	with	with	ADP
ejpam-173	36	50	the	the	DET
ejpam-173	36	51	same	same	ADJ
ejpam-173	36	52	distance	distance	NOUN
ejpam-173	36	53	a1	a1	NOUN
ejpam-173	36	54	through	through	ADP
ejpam-173	36	55	a	a	DET
ejpam-173	36	56	+	+	PROPN
ejpam-173	36	57	ve	ve	NOUN
ejpam-173	36	58	part	part	NOUN
ejpam-173	36	59	in	in	ADP
ejpam-173	36	60	y	y	NOUN
ejpam-173	36	61	-	-	PUNCT
ejpam-173	36	62	axis	axis	NOUN
ejpam-173	36	63	,	,	PUNCT
ejpam-173	36	64	also	also	ADV
ejpam-173	36	65	the	the	DET
ejpam-173	36	66	second	second	ADJ
ejpam-173	36	67	search	search	NOUN
ejpam-173	36	68	path	path	NOUN
ejpam-173	36	69	e2	e2	PROPN
ejpam-173	36	70	of	of	ADP
ejpam-173	36	71	s1	s1	PROPN
ejpam-173	36	72	is	be	AUX
ejpam-173	36	73	defined	define	VERB
ejpam-173	36	74	as	as	SCONJ
ejpam-173	36	75	follows	follow	VERB
ejpam-173	36	76	:	:	PUNCT
ejpam-173	36	77	the	the	DET
ejpam-173	36	78	searcher	searcher	ADJ
ejpam-173	36	79	s1	s1	NOUN
ejpam-173	36	80	goes	go	VERB
ejpam-173	36	81	a	a	DET
ejpam-173	36	82	distance	distance	NOUN
ejpam-173	36	83	a2	a2	NOUN
ejpam-173	36	84	,	,	PUNCT
ejpam-173	36	85	through	through	ADP
ejpam-173	36	86	a	a	DET
ejpam-173	36	87	−ve	−ve	NUM
ejpam-173	36	88	part	part	NOUN
ejpam-173	36	89	in	in	ADP
ejpam-173	36	90	y	y	NOUN
ejpam-173	36	91	-	-	PUNCT
ejpam-173	36	92	axis	axis	NOUN
ejpam-173	36	93	,	,	PUNCT
ejpam-173	36	94	after	after	SCONJ
ejpam-173	36	95	that	that	SCONJ
ejpam-173	36	96	he	he	PRON
ejpam-173	36	97	searchs	search	VERB
ejpam-173	36	98	on	on	ADP
ejpam-173	36	99	the	the	DET
ejpam-173	36	100	sector	sector	NOUN
ejpam-173	36	101	h2	h2	NOUN
ejpam-173	36	102	and	and	CCONJ
ejpam-173	36	103	it	it	PRON
ejpam-173	36	104	’s	’	VERB
ejpam-173	36	105	track	track	NOUN
ejpam-173	36	106	,	,	PUNCT
ejpam-173	36	107	then	then	ADV
ejpam-173	36	108	he	he	PRON
ejpam-173	36	109	returns	return	VERB
ejpam-173	36	110	to	to	ADP
ejpam-173	36	111	the	the	DET
ejpam-173	36	112	origin	origin	NOUN
ejpam-173	36	113	a.	a.	PROPN
ejpam-173	36	114	el	el	PROPN
ejpam-173	36	115	-	-	PUNCT
ejpam-173	36	116	moneim	moneim	PROPN
ejpam-173	36	117	,	,	PUNCT
ejpam-173	36	118	h.	h.	PROPN
ejpam-173	36	119	gabal	gabal	PROPN
ejpam-173	36	120	,	,	PUNCT
ejpam-173	36	121	and	and	CCONJ
ejpam-173	36	122	m.	m.	PROPN
ejpam-173	36	123	el	el	PROPN
ejpam-173	36	124	-	-	PUNCT
ejpam-173	36	125	hadidy	hadidy	ADJ
ejpam-173	36	126	/	/	SYM
ejpam-173	36	127	eur	eur	NOUN
ejpam-173	36	128	.	.	PUNCT
ejpam-173	37	1	j.	j.	PROPN
ejpam-173	37	2	pure	pure	PROPN
ejpam-173	37	3	appl	appl	PROPN
ejpam-173	37	4	.	.	PROPN
ejpam-173	37	5	math	math	PROPN
ejpam-173	37	6	,	,	PUNCT
ejpam-173	37	7	2	2	NUM
ejpam-173	37	8	(	(	PUNCT
ejpam-173	37	9	2009	2009	NUM
ejpam-173	37	10	)	)	PUNCT
ejpam-173	37	11	,	,	PUNCT
ejpam-173	37	12	(	(	PUNCT
ejpam-173	37	13	97	97	NUM
ejpam-173	37	14	-	-	SYM
ejpam-173	37	15	111	111	NUM
ejpam-173	37	16	)	)	PUNCT
ejpam-173	37	17	100	100	NUM
ejpam-173	37	18	with	with	ADP
ejpam-173	37	19	the	the	DET
ejpam-173	37	20	same	same	ADJ
ejpam-173	37	21	distance	distance	NOUN
ejpam-173	37	22	a2	a2	PROPN
ejpam-173	37	23	through	through	ADP
ejpam-173	37	24	a	a	DET
ejpam-173	37	25	+	+	PROPN
ejpam-173	37	26	ve	ve	NOUN
ejpam-173	37	27	part	part	NOUN
ejpam-173	37	28	in	in	ADP
ejpam-173	37	29	y	y	NOUN
ejpam-173	37	30	-	-	PUNCT
ejpam-173	37	31	axis	axis	NOUN
ejpam-173	37	32	,	,	PUNCT
ejpam-173	37	33	and	and	CCONJ
ejpam-173	37	34	so	so	ADV
ejpam-173	37	35	on	on	ADV
ejpam-173	37	36	then	then	ADV
ejpam-173	37	37	the	the	DET
ejpam-173	37	38	search	search	NOUN
ejpam-173	37	39	path	path	NOUN
ejpam-173	37	40	e	e	NOUN
ejpam-173	37	41	of	of	ADP
ejpam-173	37	42	s1	s1	PROPN
ejpam-173	37	43	is	be	AUX
ejpam-173	37	44	completely	completely	ADV
ejpam-173	37	45	defined	define	VERB
ejpam-173	37	46	by	by	ADP
ejpam-173	37	47	a	a	DET
ejpam-173	37	48	sequence	sequence	NOUN
ejpam-173	37	49	�	�	PROPN
ejpam-173	37	50	ei	ei	NOUN
ejpam-173	37	51	,	,	PUNCT
ejpam-173	37	52	i	i	PRON
ejpam-173	37	53	≥	≥	VERB
ejpam-173	37	54	0	0	NUM
ejpam-173	37	55	,	,	PUNCT
ejpam-173	37	56	where	where	SCONJ
ejpam-173	37	57	i	i	PRON
ejpam-173	37	58	is	be	AUX
ejpam-173	37	59	a	a	DET
ejpam-173	37	60	nonegative	nonegative	NOUN
ejpam-173	37	61	integer	integer	NOUN
ejpam-173	37	62	.	.	PUNCT
ejpam-173	38	1	also	also	ADV
ejpam-173	38	2	,	,	PUNCT
ejpam-173	38	3	the	the	DET
ejpam-173	38	4	first	first	ADJ
ejpam-173	38	5	search	search	NOUN
ejpam-173	38	6	path	path	NOUN
ejpam-173	38	7	f1	f1	PROPN
ejpam-173	38	8	of	of	ADP
ejpam-173	38	9	s2	s2	PROPN
ejpam-173	38	10	is	be	AUX
ejpam-173	38	11	defined	define	VERB
ejpam-173	38	12	as	as	SCONJ
ejpam-173	38	13	follows	follow	VERB
ejpam-173	38	14	:	:	PUNCT
ejpam-173	38	15	the	the	DET
ejpam-173	38	16	searcher	searcher	ADJ
ejpam-173	38	17	s2	s2	NOUN
ejpam-173	38	18	goes	go	VERB
ejpam-173	38	19	a	a	DET
ejpam-173	38	20	distance	distance	NOUN
ejpam-173	38	21	a1	a1	NOUN
ejpam-173	38	22	,	,	PUNCT
ejpam-173	38	23	through	through	ADP
ejpam-173	38	24	a	a	DET
ejpam-173	38	25	+	+	NOUN
ejpam-173	38	26	ve	ve	NOUN
ejpam-173	38	27	part	part	NOUN
ejpam-173	38	28	in	in	ADP
ejpam-173	38	29	y	y	NOUN
ejpam-173	38	30	-	-	PUNCT
ejpam-173	38	31	axis	axis	NOUN
ejpam-173	38	32	,	,	PUNCT
ejpam-173	38	33	after	after	SCONJ
ejpam-173	38	34	that	that	SCONJ
ejpam-173	38	35	he	he	PRON
ejpam-173	38	36	searchs	search	VERB
ejpam-173	38	37	on	on	ADP
ejpam-173	38	38	the	the	DET
ejpam-173	38	39	sector	sector	NOUN
ejpam-173	38	40	g1	g1	NOUN
ejpam-173	38	41	and	and	CCONJ
ejpam-173	38	42	it	it	PRON
ejpam-173	38	43	’s	’	VERB
ejpam-173	38	44	track	track	NOUN
ejpam-173	38	45	,	,	PUNCT
ejpam-173	38	46	then	then	ADV
ejpam-173	38	47	he	he	PRON
ejpam-173	38	48	returns	return	VERB
ejpam-173	38	49	to	to	ADP
ejpam-173	38	50	the	the	DET
ejpam-173	38	51	origin	origin	NOUN
ejpam-173	38	52	with	with	ADP
ejpam-173	38	53	the	the	DET
ejpam-173	38	54	same	same	ADJ
ejpam-173	38	55	distance	distance	NOUN
ejpam-173	38	56	a1	a1	NOUN
ejpam-173	38	57	through	through	ADP
ejpam-173	38	58	a	a	DET
ejpam-173	38	59	−ve	−ve	NUM
ejpam-173	38	60	part	part	NOUN
ejpam-173	38	61	in	in	ADP
ejpam-173	38	62	y	y	NOUN
ejpam-173	38	63	-	-	PUNCT
ejpam-173	38	64	axis	axis	NOUN
ejpam-173	38	65	,	,	PUNCT
ejpam-173	38	66	and	and	CCONJ
ejpam-173	38	67	the	the	DET
ejpam-173	38	68	second	second	ADJ
ejpam-173	38	69	search	search	NOUN
ejpam-173	38	70	path	path	NOUN
ejpam-173	38	71	f2	f2	PROPN
ejpam-173	38	72	of	of	ADP
ejpam-173	38	73	s2	s2	PROPN
ejpam-173	38	74	is	be	AUX
ejpam-173	38	75	defined	define	VERB
ejpam-173	38	76	as	as	SCONJ
ejpam-173	38	77	follows	follow	VERB
ejpam-173	38	78	:	:	PUNCT
ejpam-173	38	79	the	the	DET
ejpam-173	38	80	searcher	searcher	ADJ
ejpam-173	38	81	s2	s2	NOUN
ejpam-173	38	82	goes	go	VERB
ejpam-173	38	83	a	a	DET
ejpam-173	38	84	distance	distance	NOUN
ejpam-173	38	85	a2	a2	NOUN
ejpam-173	38	86	,	,	PUNCT
ejpam-173	38	87	through	through	ADP
ejpam-173	38	88	a	a	DET
ejpam-173	38	89	+	+	NOUN
ejpam-173	38	90	ve	ve	NOUN
ejpam-173	38	91	part	part	NOUN
ejpam-173	38	92	in	in	ADP
ejpam-173	38	93	y	y	NOUN
ejpam-173	38	94	-	-	PUNCT
ejpam-173	38	95	axis	axis	NOUN
ejpam-173	38	96	,	,	PUNCT
ejpam-173	38	97	after	after	SCONJ
ejpam-173	38	98	that	that	SCONJ
ejpam-173	38	99	he	he	PRON
ejpam-173	38	100	searchs	search	VERB
ejpam-173	38	101	on	on	ADP
ejpam-173	38	102	the	the	DET
ejpam-173	38	103	sector	sector	NOUN
ejpam-173	38	104	g2	g2	PROPN
ejpam-173	39	1	and	and	CCONJ
ejpam-173	39	2	it	it	PRON
ejpam-173	39	3	’s	’	VERB
ejpam-173	39	4	track	track	NOUN
ejpam-173	39	5	,	,	PUNCT
ejpam-173	39	6	then	then	ADV
ejpam-173	39	7	he	he	PRON
ejpam-173	39	8	returns	return	VERB
ejpam-173	39	9	to	to	ADP
ejpam-173	39	10	the	the	DET
ejpam-173	39	11	origin	origin	NOUN
ejpam-173	39	12	with	with	ADP
ejpam-173	39	13	the	the	DET
ejpam-173	39	14	same	same	ADJ
ejpam-173	39	15	distance	distance	NOUN
ejpam-173	39	16	a2	a2	PROPN
ejpam-173	39	17	through	through	ADP
ejpam-173	39	18	a	a	DET
ejpam-173	39	19	−ve	−ve	NUM
ejpam-173	39	20	part	part	NOUN
ejpam-173	39	21	in	in	ADP
ejpam-173	39	22	y	y	NOUN
ejpam-173	39	23	-	-	PUNCT
ejpam-173	39	24	axis	axis	NOUN
ejpam-173	39	25	,	,	PUNCT
ejpam-173	39	26	and	and	CCONJ
ejpam-173	39	27	so	so	ADV
ejpam-173	39	28	on	on	ADV
ejpam-173	39	29	then	then	ADV
ejpam-173	39	30	the	the	DET
ejpam-173	39	31	search	search	NOUN
ejpam-173	39	32	path	path	NOUN
ejpam-173	39	33	f	f	PROPN
ejpam-173	39	34	of	of	ADP
ejpam-173	39	35	s2	s2	PROPN
ejpam-173	39	36	is	be	AUX
ejpam-173	39	37	completely	completely	ADV
ejpam-173	39	38	defined	define	VERB
ejpam-173	39	39	by	by	ADP
ejpam-173	39	40	a	a	DET
ejpam-173	39	41	sequence	sequence	NOUN
ejpam-173	39	42	�	�	PROPN
ejpam-173	39	43	fi	fi	NOUN
ejpam-173	39	44	,	,	PUNCT
ejpam-173	39	45	i	i	PRON
ejpam-173	39	46	≥	≥	VERB
ejpam-173	39	47	0	0	NUM
ejpam-173	39	48	,	,	PUNCT
ejpam-173	39	49	where	where	SCONJ
ejpam-173	39	50	i	i	PRON
ejpam-173	39	51	is	be	AUX
ejpam-173	39	52	a	a	DET
ejpam-173	39	53	nonegative	nonegative	NOUN
ejpam-173	39	54	integer	integer	NOUN
ejpam-173	39	55	.	.	PUNCT
ejpam-173	40	1	let	let	VERB
ejpam-173	40	2	the	the	DET
ejpam-173	40	3	search	search	NOUN
ejpam-173	40	4	plan	plan	NOUN
ejpam-173	40	5	be	be	AUX
ejpam-173	40	6	defined	define	VERB
ejpam-173	40	7	by	by	ADP
ejpam-173	40	8	:	:	PUNCT
ejpam-173	40	9	φ	φ	PROPN
ejpam-173	40	10	=	=	SYM
ejpam-173	40	11	�	�	PROPN
ejpam-173	40	12	e	e	PROPN
ejpam-173	40	13	,	,	PUNCT
ejpam-173	40	14	f	f	PROPN
ejpam-173	40	15	�	�	PROPN
ejpam-173	40	16	∈	∈	PROPN
ejpam-173	40	17	φ	φ	PROPN
ejpam-173	40	18	,	,	PUNCT
ejpam-173	40	19	where	where	SCONJ
ejpam-173	40	20	φ	φ	PROPN
ejpam-173	40	21	is	be	AUX
ejpam-173	40	22	the	the	DET
ejpam-173	40	23	set	set	NOUN
ejpam-173	40	24	of	of	ADP
ejpam-173	40	25	all	all	DET
ejpam-173	40	26	search	search	NOUN
ejpam-173	40	27	plans	plan	NOUN
ejpam-173	40	28	.	.	PUNCT
ejpam-173	41	1	the	the	DET
ejpam-173	41	2	circle	circle	PROPN
ejpam-173	41	3	number	number	PROPN
ejpam-173	41	4	j	j	PROPN
ejpam-173	41	5	,	,	PUNCT
ejpam-173	41	6	j	j	PROPN
ejpam-173	41	7	=	=	SYM
ejpam-173	41	8	1,2	1,2	NUM
ejpam-173	41	9	,	,	PUNCT
ejpam-173	41	10	...	...	PUNCT
ejpam-173	41	11	is	be	AUX
ejpam-173	41	12	devided	devide	VERB
ejpam-173	41	13	into	into	ADP
ejpam-173	41	14	an	an	DET
ejpam-173	41	15	equal	equal	ADJ
ejpam-173	41	16	two	two	NUM
ejpam-173	41	17	sectors	sector	NOUN
ejpam-173	41	18	h	h	PROPN
ejpam-173	41	19	j	j	PROPN
ejpam-173	41	20	,	,	PUNCT
ejpam-173	41	21	g	g	PROPN
ejpam-173	41	22	j	j	PROPN
ejpam-173	41	23	,	,	PUNCT
ejpam-173	41	24	j	j	PROPN
ejpam-173	42	1	=	=	SYM
ejpam-173	42	2	1,2	1,2	NUM
ejpam-173	42	3	,	,	PUNCT
ejpam-173	42	4	...	...	PUNCT
ejpam-173	42	5	as	as	ADP
ejpam-173	42	6	in	in	ADP
ejpam-173	42	7	fig	fig	NOUN
ejpam-173	42	8	.	.	PUNCT
ejpam-173	43	1	2	2	NUM
ejpam-173	43	2	,	,	PUNCT
ejpam-173	43	3	then	then	ADV
ejpam-173	43	4	the	the	DET
ejpam-173	43	5	distances	distance	NOUN
ejpam-173	43	6	which	which	PRON
ejpam-173	43	7	made	make	VERB
ejpam-173	43	8	by	by	ADP
ejpam-173	43	9	the	the	DET
ejpam-173	43	10	searchers	searcher	NOUN
ejpam-173	43	11	in	in	ADP
ejpam-173	43	12	y	y	NOUN
ejpam-173	43	13	-	-	PUNCT
ejpam-173	43	14	axis	axis	NOUN
ejpam-173	43	15	are	be	AUX
ejpam-173	43	16	equal	equal	ADJ
ejpam-173	43	17	and	and	CCONJ
ejpam-173	43	18	the	the	DET
ejpam-173	43	19	searching	search	VERB
ejpam-173	43	20	areas	area	NOUN
ejpam-173	43	21	(	(	PUNCT
ejpam-173	43	22	set	set	NOUN
ejpam-173	43	23	of	of	ADP
ejpam-173	43	24	tracks	track	NOUN
ejpam-173	43	25	)	)	PUNCT
ejpam-173	43	26	in	in	ADP
ejpam-173	43	27	the	the	DET
ejpam-173	43	28	two	two	NUM
ejpam-173	43	29	parts	part	NOUN
ejpam-173	43	30	are	be	AUX
ejpam-173	43	31	equal	equal	ADJ
ejpam-173	43	32	also	also	ADV
ejpam-173	43	33	so	so	SCONJ
ejpam-173	43	34	that	that	SCONJ
ejpam-173	43	35	,	,	PUNCT
ejpam-173	43	36	the	the	DET
ejpam-173	43	37	target	target	NOUN
ejpam-173	43	38	has	have	VERB
ejpam-173	43	39	symmetric	symmetric	ADJ
ejpam-173	43	40	distribution	distribution	NOUN
ejpam-173	43	41	.	.	PUNCT
ejpam-173	44	1	we	we	PRON
ejpam-173	44	2	consider	consider	VERB
ejpam-173	44	3	the	the	DET
ejpam-173	44	4	searchers	searcher	NOUN
ejpam-173	44	5	goes	go	VERB
ejpam-173	44	6	on	on	ADP
ejpam-173	44	7	y	y	NOUN
ejpam-173	44	8	-	-	PUNCT
ejpam-173	44	9	axis	axis	NOUN
ejpam-173	44	10	with	with	ADP
ejpam-173	44	11	equal	equal	ADJ
ejpam-173	44	12	speeds	speed	NOUN
ejpam-173	44	13	�	�	PROPN
ejpam-173	44	14	v1	v1	NOUN
ejpam-173	44	15	=	=	SYM
ejpam-173	44	16	v2	v2	NOUN
ejpam-173	44	17	=	=	SYM
ejpam-173	44	18	1	1	NUM
ejpam-173	44	19	�	�	PROPN
ejpam-173	44	20	,	,	PUNCT
ejpam-173	44	21	and	and	CCONJ
ejpam-173	44	22	search	search	VERB
ejpam-173	44	23	on	on	ADP
ejpam-173	44	24	the	the	DET
ejpam-173	44	25	sectors	sector	NOUN
ejpam-173	44	26	and	and	CCONJ
ejpam-173	44	27	it	it	PRON
ejpam-173	44	28	’s	’	VERB
ejpam-173	44	29	tracks	track	NOUN
ejpam-173	44	30	with	with	ADP
ejpam-173	44	31	regular	regular	ADJ
ejpam-173	44	32	speed	speed	NOUN
ejpam-173	44	33	v3	v3	PROPN
ejpam-173	44	34	,	,	PUNCT
ejpam-173	44	35	where	where	SCONJ
ejpam-173	44	36	the	the	DET
ejpam-173	44	37	searching	searching	NOUN
ejpam-173	44	38	process	process	NOUN
ejpam-173	44	39	done	do	VERB
ejpam-173	44	40	only	only	ADV
ejpam-173	44	41	on	on	ADP
ejpam-173	44	42	the	the	DET
ejpam-173	44	43	sectors	sector	NOUN
ejpam-173	44	44	and	and	CCONJ
ejpam-173	44	45	the	the	DET
ejpam-173	44	46	areas	area	NOUN
ejpam-173	44	47	produced	produce	VERB
ejpam-173	44	48	by	by	ADP
ejpam-173	44	49	the	the	DET
ejpam-173	44	50	tracks	track	NOUN
ejpam-173	44	51	which	which	PRON
ejpam-173	44	52	made	make	VERB
ejpam-173	44	53	by	by	ADP
ejpam-173	44	54	the	the	DET
ejpam-173	44	55	seachers	seacher	NOUN
ejpam-173	44	56	inside	inside	ADP
ejpam-173	44	57	the	the	DET
ejpam-173	44	58	sectors	sector	NOUN
ejpam-173	44	59	but	but	CCONJ
ejpam-173	44	60	we	we	PRON
ejpam-173	44	61	added	add	VERB
ejpam-173	44	62	the	the	DET
ejpam-173	44	63	time	time	NOUN
ejpam-173	44	64	which	which	PRON
ejpam-173	44	65	the	the	DET
ejpam-173	44	66	searchers	searcher	NOUN
ejpam-173	44	67	taked	take	VERB
ejpam-173	44	68	it	it	PRON
ejpam-173	44	69	through	through	ADP
ejpam-173	44	70	going	go	VERB
ejpam-173	44	71	on	on	ADP
ejpam-173	44	72	y	y	NOUN
ejpam-173	44	73	-	-	PUNCT
ejpam-173	44	74	axis	axis	NOUN
ejpam-173	44	75	to	to	ADP
ejpam-173	44	76	the	the	DET
ejpam-173	44	77	time	time	NOUN
ejpam-173	44	78	of	of	ADP
ejpam-173	44	79	the	the	DET
ejpam-173	44	80	searching	searching	NOUN
ejpam-173	44	81	process	process	NOUN
ejpam-173	44	82	.	.	PUNCT
ejpam-173	45	1	let	let	VERB
ejpam-173	45	2	(	(	PUNCT
ejpam-173	45	3	x	x	X
ejpam-173	45	4	,	,	PUNCT
ejpam-173	45	5	y	y	PROPN
ejpam-173	45	6	)	)	PUNCT
ejpam-173	45	7	are	be	AUX
ejpam-173	45	8	independent	independent	ADJ
ejpam-173	45	9	,	,	PUNCT
ejpam-173	45	10	random	random	ADJ
ejpam-173	45	11	variables	variable	NOUN
ejpam-173	45	12	and	and	CCONJ
ejpam-173	45	13	they	they	PRON
ejpam-173	45	14	represent	represent	VERB
ejpam-173	45	15	the	the	DET
ejpam-173	45	16	target	target	NOUN
ejpam-173	45	17	position	position	NOUN
ejpam-173	45	18	on	on	ADP
ejpam-173	45	19	the	the	DET
ejpam-173	45	20	region	region	NOUN
ejpam-173	45	21	with	with	ADP
ejpam-173	45	22	probability	probability	NOUN
ejpam-173	45	23	density	density	NOUN
ejpam-173	45	24	function	function	NOUN
ejpam-173	45	25	f	f	PROPN
ejpam-173	45	26	(	(	PUNCT
ejpam-173	45	27	x	x	PROPN
ejpam-173	45	28	,	,	PUNCT
ejpam-173	45	29	y	y	PROPN
ejpam-173	45	30	)	)	PUNCT
ejpam-173	45	31	and	and	CCONJ
ejpam-173	45	32	distribution	distribution	NOUN
ejpam-173	45	33	function	function	NOUN
ejpam-173	45	34	f(x	f(x	PROPN
ejpam-173	45	35	,	,	PUNCT
ejpam-173	45	36	y	y	PROPN
ejpam-173	45	37	)	)	PUNCT
ejpam-173	45	38	,	,	PUNCT
ejpam-173	45	39	where	where	SCONJ
ejpam-173	45	40	we	we	PRON
ejpam-173	45	41	consider	consider	VERB
ejpam-173	45	42	the	the	DET
ejpam-173	45	43	surface	surface	NOUN
ejpam-173	45	44	of	of	ADP
ejpam-173	45	45	the	the	DET
ejpam-173	45	46	region	region	NOUN
ejpam-173	45	47	be	be	AUX
ejpam-173	45	48	a	a	DET
ejpam-173	45	49	"	"	PUNCT
ejpam-173	45	50	standrad	standrad	ADJ
ejpam-173	45	51	eculidan	eculidan	NOUN
ejpam-173	45	52	2	2	NUM
ejpam-173	45	53	-	-	PUNCT
ejpam-173	45	54	space	space	NOUN
ejpam-173	45	55	e	e	NOUN
ejpam-173	45	56	"	"	PUNCT
ejpam-173	45	57	,	,	PUNCT
ejpam-173	45	58	with	with	ADP
ejpam-173	45	59	points	point	NOUN
ejpam-173	45	60	designated	designate	VERB
ejpam-173	45	61	by	by	ADP
ejpam-173	45	62	ordered	order	VERB
ejpam-173	45	63	pairs	pair	NOUN
ejpam-173	45	64	(	(	PUNCT
ejpam-173	45	65	x	x	NOUN
ejpam-173	45	66	,	,	PUNCT
ejpam-173	45	67	y	y	PROPN
ejpam-173	45	68	)	)	PUNCT
ejpam-173	45	69	.	.	PUNCT
ejpam-173	46	1	the	the	DET
ejpam-173	46	2	circles	circle	NOUN
ejpam-173	46	3	devide	devide	VERB
ejpam-173	46	4	into	into	ADP
ejpam-173	46	5	sectors	sector	NOUN
ejpam-173	46	6	as	as	ADP
ejpam-173	46	7	in	in	ADP
ejpam-173	46	8	fig	fig	NOUN
ejpam-173	46	9	.	.	PUNCT
ejpam-173	47	1	2	2	NUM
ejpam-173	47	2	,	,	PUNCT
ejpam-173	47	3	and	and	CCONJ
ejpam-173	47	4	these	these	DET
ejpam-173	47	5	sectors	sector	NOUN
ejpam-173	47	6	are	be	AUX
ejpam-173	47	7	also	also	ADV
ejpam-173	47	8	devided	devide	VERB
ejpam-173	47	9	into	into	ADP
ejpam-173	47	10	an	an	DET
ejpam-173	47	11	equal	equal	ADJ
ejpam-173	47	12	small	small	ADJ
ejpam-173	47	13	sectors	sector	NOUN
ejpam-173	47	14	li	li	X
ejpam-173	47	15	,	,	PUNCT
ejpam-173	47	16	i	i	PRON
ejpam-173	47	17	=	=	SYM
ejpam-173	47	18	1,2	1,2	NUM
ejpam-173	47	19	,	,	PUNCT
ejpam-173	47	20	...	...	PUNCT
ejpam-173	47	21	,	,	PUNCT
ejpam-173	47	22	n	n	CCONJ
ejpam-173	47	23	,	,	PUNCT
ejpam-173	47	24	each	each	DET
ejpam-173	47	25	sector	sector	NOUN
ejpam-173	47	26	of	of	ADP
ejpam-173	47	27	them	they	PRON
ejpam-173	47	28	make	make	VERB
ejpam-173	47	29	small	small	ADJ
ejpam-173	47	30	search	search	NOUN
ejpam-173	47	31	area	area	NOUN
ejpam-173	47	32	of	of	ADP
ejpam-173	47	33	the	the	DET
ejpam-173	47	34	track	track	NOUN
ejpam-173	47	35	which	which	DET
ejpam-173	47	36	the	the	DET
ejpam-173	47	37	search	search	NOUN
ejpam-173	47	38	done	do	VERB
ejpam-173	47	39	on	on	ADP
ejpam-173	47	40	it	it	PRON
ejpam-173	47	41	by	by	ADP
ejpam-173	47	42	which	which	PRON
ejpam-173	47	43	we	we	PRON
ejpam-173	47	44	mean	mean	VERB
ejpam-173	47	45	for	for	ADP
ejpam-173	47	46	the	the	DET
ejpam-173	47	47	moment	moment	NOUN
ejpam-173	47	48	that	that	SCONJ
ejpam-173	47	49	the	the	DET
ejpam-173	47	50	searcher	searcher	NOUN
ejpam-173	47	51	sees	see	VERB
ejpam-173	47	52	every	every	DET
ejpam-173	47	53	thing	thing	NOUN
ejpam-173	47	54	of	of	ADP
ejpam-173	47	55	his	his	PRON
ejpam-173	47	56	position	position	NOUN
ejpam-173	47	57	,	,	PUNCT
ejpam-173	47	58	and	and	CCONJ
ejpam-173	47	59	nothing	nothing	PRON
ejpam-173	47	60	beyond	beyond	ADP
ejpam-173	47	61	that	that	PRON
ejpam-173	47	62	.	.	PUNCT
ejpam-173	48	1	a.	a.	PROPN
ejpam-173	48	2	el	el	PROPN
ejpam-173	48	3	-	-	PUNCT
ejpam-173	48	4	moneim	moneim	PROPN
ejpam-173	48	5	,	,	PUNCT
ejpam-173	48	6	h.	h.	PROPN
ejpam-173	48	7	gabal	gabal	PROPN
ejpam-173	48	8	,	,	PUNCT
ejpam-173	48	9	and	and	CCONJ
ejpam-173	48	10	m.	m.	PROPN
ejpam-173	48	11	el	el	PROPN
ejpam-173	48	12	-	-	PUNCT
ejpam-173	48	13	hadidy	hadidy	ADJ
ejpam-173	48	14	/	/	SYM
ejpam-173	48	15	eur	eur	NOUN
ejpam-173	48	16	.	.	PUNCT
ejpam-173	49	1	j.	j.	PROPN
ejpam-173	49	2	pure	pure	PROPN
ejpam-173	49	3	appl	appl	PROPN
ejpam-173	49	4	.	.	PROPN
ejpam-173	49	5	math	math	PROPN
ejpam-173	49	6	,	,	PUNCT
ejpam-173	49	7	2	2	NUM
ejpam-173	49	8	(	(	PUNCT
ejpam-173	49	9	2009	2009	NUM
ejpam-173	49	10	)	)	PUNCT
ejpam-173	49	11	,	,	PUNCT
ejpam-173	49	12	(	(	PUNCT
ejpam-173	49	13	97	97	NUM
ejpam-173	49	14	-	-	SYM
ejpam-173	49	15	111	111	NUM
ejpam-173	49	16	)	)	PUNCT
ejpam-173	49	17	101	101	NUM
ejpam-173	49	18	figure	figure	NOUN
ejpam-173	49	19	2	2	NUM
ejpam-173	49	20	let	let	VERB
ejpam-173	49	21	t1	t1	NOUN
ejpam-173	49	22	be	be	AUX
ejpam-173	49	23	the	the	DET
ejpam-173	49	24	time	time	NOUN
ejpam-173	49	25	which	which	PRON
ejpam-173	49	26	the	the	DET
ejpam-173	49	27	searcher	searcher	ADJ
ejpam-173	49	28	s1	s1	NOUN
ejpam-173	49	29	takes	take	VERB
ejpam-173	49	30	it	it	PRON
ejpam-173	49	31	in	in	ADP
ejpam-173	49	32	the	the	DET
ejpam-173	49	33	search	search	NOUN
ejpam-173	49	34	path	path	NOUN
ejpam-173	50	1	�	�	PROPN
ejpam-173	50	2	ei	ei	PROPN
ejpam-173	50	3	,	,	PUNCT
ejpam-173	50	4	i	i	PRON
ejpam-173	50	5	≥	≥	VERB
ejpam-173	50	6	0	0	NUM
ejpam-173	50	7	,	,	PUNCT
ejpam-173	50	8	where	where	SCONJ
ejpam-173	50	9	i	i	PRON
ejpam-173	50	10	is	be	AUX
ejpam-173	50	11	a	a	DET
ejpam-173	50	12	nonegative	nonegative	NOUN
ejpam-173	50	13	integer	integer	NOUN
ejpam-173	50	14	in	in	ADP
ejpam-173	50	15	the	the	DET
ejpam-173	50	16	first	first	ADJ
ejpam-173	50	17	part	part	NOUN
ejpam-173	50	18	to	to	PART
ejpam-173	50	19	return	return	VERB
ejpam-173	50	20	to	to	ADP
ejpam-173	50	21	(	(	PUNCT
ejpam-173	50	22	0,0	0,0	NOUN
ejpam-173	50	23	)	)	PUNCT
ejpam-173	50	24	,	,	PUNCT
ejpam-173	50	25	and	and	CCONJ
ejpam-173	50	26	t2	t2	NOUN
ejpam-173	50	27	be	be	VERB
ejpam-173	50	28	the	the	DET
ejpam-173	50	29	time	time	NOUN
ejpam-173	50	30	which	which	PRON
ejpam-173	50	31	the	the	DET
ejpam-173	50	32	searcher	searcher	ADJ
ejpam-173	50	33	s2	s2	NOUN
ejpam-173	50	34	takes	take	VERB
ejpam-173	50	35	it	it	PRON
ejpam-173	50	36	in	in	ADP
ejpam-173	50	37	the	the	DET
ejpam-173	50	38	search	search	NOUN
ejpam-173	50	39	path	path	NOUN
ejpam-173	50	40	�	�	PROPN
ejpam-173	50	41	fi	fi	PROPN
ejpam-173	50	42	,	,	PUNCT
ejpam-173	50	43	i	i	PRON
ejpam-173	50	44	≥	≥	VERB
ejpam-173	50	45	0	0	NUM
ejpam-173	50	46	,	,	PUNCT
ejpam-173	50	47	where	where	SCONJ
ejpam-173	50	48	i	i	PRON
ejpam-173	50	49	is	be	AUX
ejpam-173	50	50	a	a	DET
ejpam-173	50	51	nonegative	nonegative	NOUN
ejpam-173	50	52	intege	intege	NOUN
ejpam-173	50	53	in	in	ADP
ejpam-173	50	54	the	the	DET
ejpam-173	50	55	second	second	ADJ
ejpam-173	50	56	part	part	NOUN
ejpam-173	50	57	to	to	PART
ejpam-173	50	58	return	return	VERB
ejpam-173	50	59	to	to	ADP
ejpam-173	50	60	(	(	PUNCT
ejpam-173	50	61	0,0	0,0	NOUN
ejpam-173	50	62	)	)	PUNCT
ejpam-173	50	63	,	,	PUNCT
ejpam-173	50	64	(	(	PUNCT
ejpam-173	50	65	where	where	SCONJ
ejpam-173	50	66	they	they	PRON
ejpam-173	50	67	go	go	VERB
ejpam-173	50	68	on	on	ADP
ejpam-173	50	69	y	y	NOUN
ejpam-173	50	70	-	-	NOUN
ejpam-173	50	71	axis	axis	NOUN
ejpam-173	50	72	from	from	ADP
ejpam-173	50	73	the	the	DET
ejpam-173	50	74	origin	origin	NOUN
ejpam-173	50	75	before	before	ADP
ejpam-173	50	76	searching	search	VERB
ejpam-173	50	77	on	on	ADP
ejpam-173	50	78	the	the	DET
ejpam-173	50	79	sectors	sector	NOUN
ejpam-173	50	80	and	and	CCONJ
ejpam-173	50	81	return	return	VERB
ejpam-173	50	82	after	after	ADP
ejpam-173	50	83	finishing	finish	VERB
ejpam-173	50	84	on	on	ADP
ejpam-173	50	85	the	the	DET
ejpam-173	50	86	sectors	sector	NOUN
ejpam-173	50	87	to	to	ADP
ejpam-173	50	88	the	the	DET
ejpam-173	50	89	origin	origin	NOUN
ejpam-173	50	90	with	with	ADP
ejpam-173	50	91	equal	equal	ADJ
ejpam-173	50	92	speed	speed	NOUN
ejpam-173	50	93	�	�	NOUN
ejpam-173	50	94	v1	v1	NOUN
ejpam-173	50	95	=	=	SYM
ejpam-173	50	96	v2	v2	NOUN
ejpam-173	50	97	=	=	SYM
ejpam-173	50	98	1	1	NUM
ejpam-173	50	99	�	�	PROPN
ejpam-173	50	100	,	,	PUNCT
ejpam-173	50	101	then	then	ADV
ejpam-173	50	102	in	in	ADP
ejpam-173	50	103	this	this	DET
ejpam-173	50	104	case	case	NOUN
ejpam-173	50	105	the	the	DET
ejpam-173	50	106	time	time	NOUN
ejpam-173	50	107	of	of	ADP
ejpam-173	50	108	going	go	VERB
ejpam-173	50	109	througth	througth	NOUN
ejpam-173	50	110	y	y	NOUN
ejpam-173	50	111	-	-	PUNCT
ejpam-173	50	112	axis	axis	NOUN
ejpam-173	50	113	is	be	AUX
ejpam-173	50	114	equal	equal	ADJ
ejpam-173	50	115	to	to	ADP
ejpam-173	50	116	the	the	DET
ejpam-173	50	117	distances	distance	NOUN
ejpam-173	50	118	which	which	PRON
ejpam-173	50	119	done	do	VERB
ejpam-173	50	120	,	,	PUNCT
ejpam-173	50	121	and	and	CCONJ
ejpam-173	50	122	searching	search	VERB
ejpam-173	50	123	on	on	ADP
ejpam-173	50	124	the	the	DET
ejpam-173	50	125	sectors	sector	NOUN
ejpam-173	50	126	hi	hi	INTJ
ejpam-173	50	127	,	,	PUNCT
ejpam-173	50	128	gi	gi	INTJ
ejpam-173	50	129	,	,	PUNCT
ejpam-173	50	130	i	i	NOUN
ejpam-173	50	131	=	=	NOUN
ejpam-173	50	132	1,2	1,2	NUM
ejpam-173	50	133	,	,	PUNCT
ejpam-173	50	134	...	...	PUNCT
ejpam-173	50	135	and	and	CCONJ
ejpam-173	50	136	it	it	PRON
ejpam-173	50	137	’s	’	VERB
ejpam-173	50	138	tracks	track	NOUN
ejpam-173	50	139	(	(	PUNCT
ejpam-173	50	140	searching	search	VERB
ejpam-173	50	141	areas	area	NOUN
ejpam-173	50	142	of	of	ADP
ejpam-173	50	143	the	the	DET
ejpam-173	50	144	sectors	sector	NOUN
ejpam-173	50	145	)	)	PUNCT
ejpam-173	50	146	with	with	ADP
ejpam-173	50	147	"	"	PUNCT
ejpam-173	50	148	regular	regular	ADJ
ejpam-173	50	149	speed	speed	NOUN
ejpam-173	50	150	"	"	PUNCT
ejpam-173	50	151	v3	v3	PROPN
ejpam-173	50	152	,	,	PUNCT
ejpam-173	50	153	then	then	ADV
ejpam-173	50	154	we	we	PRON
ejpam-173	50	155	consider	consider	VERB
ejpam-173	50	156	the	the	DET
ejpam-173	50	157	searching	searching	NOUN
ejpam-173	50	158	time	time	NOUN
ejpam-173	50	159	on	on	ADP
ejpam-173	50	160	the	the	DET
ejpam-173	50	161	sectors	sector	NOUN
ejpam-173	50	162	and	and	CCONJ
ejpam-173	50	163	inside	inside	ADP
ejpam-173	50	164	them	they	PRON
ejpam-173	50	165	(	(	PUNCT
ejpam-173	50	166	on	on	ADP
ejpam-173	50	167	the	the	DET
ejpam-173	50	168	tracks	track	NOUN
ejpam-173	50	169	which	which	PRON
ejpam-173	50	170	made	make	VERB
ejpam-173	50	171	by	by	ADP
ejpam-173	50	172	the	the	DET
ejpam-173	50	173	searchers	searcher	NOUN
ejpam-173	50	174	)	)	PUNCT
ejpam-173	50	175	is	be	AUX
ejpam-173	50	176	equal	equal	ADJ
ejpam-173	50	177	to	to	PART
ejpam-173	50	178	τi	τi	VERB
ejpam-173	50	179	=	=	PUNCT
ejpam-173	50	180	2π	2π	NOUN
ejpam-173	50	181	ωi	ωi	X
ejpam-173	50	182	,	,	PUNCT
ejpam-173	50	183	where	where	SCONJ
ejpam-173	50	184	τi	τi	NOUN
ejpam-173	50	185	is	be	AUX
ejpam-173	50	186	the"time	the"time	PROPN
ejpam-173	50	187	league	league	PROPN
ejpam-173	50	188	"	"	PUNCT
ejpam-173	50	189	,	,	PUNCT
ejpam-173	50	190	ωi	ωi	PROPN
ejpam-173	50	191	is	be	AUX
ejpam-173	50	192	called	call	VERB
ejpam-173	50	193	"	"	PUNCT
ejpam-173	50	194	angular	angular	ADJ
ejpam-173	50	195	velocity	velocity	NOUN
ejpam-173	50	196	"	"	PUNCT
ejpam-173	50	197	the	the	DET
ejpam-173	50	198	searching	searching	NOUN
ejpam-173	50	199	time	time	NOUN
ejpam-173	50	200	τi	τi	NOUN
ejpam-173	50	201	depends	depend	VERB
ejpam-173	50	202	on	on	ADP
ejpam-173	50	203	ωi	ωi	NUM
ejpam-173	50	204	which	which	PRON
ejpam-173	50	205	depends	depend	VERB
ejpam-173	50	206	on	on	ADP
ejpam-173	50	207	the	the	DET
ejpam-173	50	208	redius	redius	ADJ
ejpam-173	50	209	ai	ai	NOUN
ejpam-173	50	210	)	)	PUNCT
ejpam-173	50	211	and	and	CCONJ
ejpam-173	50	212	t(φ	t(φ	PROPN
ejpam-173	50	213	)	)	PUNCT
ejpam-173	50	214	be	be	VERB
ejpam-173	50	215	the	the	DET
ejpam-173	50	216	time	time	NOUN
ejpam-173	50	217	for	for	SCONJ
ejpam-173	50	218	the	the	DET
ejpam-173	50	219	searchers	searcher	NOUN
ejpam-173	50	220	to	to	PART
ejpam-173	50	221	detect	detect	VERB
ejpam-173	50	222	the	the	DET
ejpam-173	50	223	target	target	NOUN
ejpam-173	50	224	.	.	PUNCT
ejpam-173	51	1	theorem	theorem	VERB
ejpam-173	51	2	2.1	2.1	NUM
ejpam-173	51	3	.	.	PUNCT
ejpam-173	52	1	the	the	DET
ejpam-173	52	2	expected	expect	VERB
ejpam-173	52	3	value	value	NOUN
ejpam-173	52	4	of	of	ADP
ejpam-173	52	5	the	the	DET
ejpam-173	52	6	time	time	NOUN
ejpam-173	52	7	for	for	ADP
ejpam-173	52	8	detecting	detect	VERB
ejpam-173	52	9	the	the	DET
ejpam-173	52	10	target	target	NOUN
ejpam-173	52	11	is	be	AUX
ejpam-173	52	12	given	give	VERB
ejpam-173	52	13	by	by	ADP
ejpam-173	52	14	:	:	PUNCT
ejpam-173	52	15	e(t(φ	e(t(φ	PROPN
ejpam-173	52	16	)	)	PUNCT
ejpam-173	52	17	)	)	PUNCT
ejpam-173	53	1	=	=	SYM
ejpam-173	53	2	�	�	PROPN
ejpam-173	53	3	4a1	4a1	NUM
ejpam-173	53	4	+	+	PROPN
ejpam-173	53	5	2π	2π	PROPN
ejpam-173	53	6	ω1	ω1	PROPN
ejpam-173	53	7	�	�	PROPN
ejpam-173	53	8			PROPN
ejpam-173	53	9			ADJ
ejpam-173	53	10			ADJ
ejpam-173	53	11			NOUN
ejpam-173	53	12	n	n	CCONJ
ejpam-173	53	13	∑	∑	PUNCT
ejpam-173	53	14	k=1	k=1	ADP
ejpam-173	53	15	a1	a1	PROPN
ejpam-173	53	16	∫	∫	PROPN
ejpam-173	53	17	0	0	NUM
ejpam-173	54	1	θ	θ	PROPN
ejpam-173	54	2	k	k	NOUN
ejpam-173	55	1	∫	∫	PROPN
ejpam-173	55	2	θ	θ	PROPN
ejpam-173	55	3	k−1	k−1	PROPN
ejpam-173	55	4	g(r	g(r	PROPN
ejpam-173	55	5	cosθ	cosθ	PROPN
ejpam-173	55	6	,	,	PUNCT
ejpam-173	55	7	r	r	PROPN
ejpam-173	55	8	sinθ)rd	sinθ)rd	PROPN
ejpam-173	55	9	rdθ	rdθ	VERB
ejpam-173	55	10			PROPN
ejpam-173	55	11			PROPN
ejpam-173	55	12			PROPN
ejpam-173	55	13			PROPN
ejpam-173	55	14	a.	a.	NOUN
ejpam-173	55	15	el	el	PROPN
ejpam-173	55	16	-	-	PUNCT
ejpam-173	55	17	moneim	moneim	PROPN
ejpam-173	55	18	,	,	PUNCT
ejpam-173	55	19	h.	h.	PROPN
ejpam-173	55	20	gabal	gabal	PROPN
ejpam-173	55	21	,	,	PUNCT
ejpam-173	55	22	and	and	CCONJ
ejpam-173	55	23	m.	m.	PROPN
ejpam-173	55	24	el	el	PROPN
ejpam-173	55	25	-	-	PUNCT
ejpam-173	55	26	hadidy	hadidy	ADJ
ejpam-173	55	27	/	/	SYM
ejpam-173	55	28	eur	eur	NOUN
ejpam-173	55	29	.	.	PUNCT
ejpam-173	56	1	j.	j.	PROPN
ejpam-173	56	2	pure	pure	PROPN
ejpam-173	56	3	appl	appl	PROPN
ejpam-173	56	4	.	.	PROPN
ejpam-173	56	5	math	math	PROPN
ejpam-173	56	6	,	,	PUNCT
ejpam-173	56	7	2	2	NUM
ejpam-173	56	8	(	(	PUNCT
ejpam-173	56	9	2009	2009	NUM
ejpam-173	56	10	)	)	PUNCT
ejpam-173	56	11	,	,	PUNCT
ejpam-173	56	12	(	(	PUNCT
ejpam-173	56	13	97	97	NUM
ejpam-173	56	14	-	-	SYM
ejpam-173	56	15	111	111	NUM
ejpam-173	56	16	)	)	PUNCT
ejpam-173	56	17	102	102	NUM
ejpam-173	57	1	+	+	CCONJ
ejpam-173	57	2	∞	∞	NUM
ejpam-173	57	3	∑	∑	PUNCT
ejpam-173	57	4	i=2	i=2	PROPN
ejpam-173	57	5			NOUN
ejpam-173	57	6			ADJ
ejpam-173	57	7			ADJ
ejpam-173	57	8			ADJ
ejpam-173	57	9			ADJ
ejpam-173	57	10			ADJ
ejpam-173	57	11			ADJ
ejpam-173	57	12			ADJ
ejpam-173	57	13			ADJ
ejpam-173	57	14			ADJ
ejpam-173	57	15			NUM
ejpam-173	57	16	�	�	PROPN
ejpam-173	57	17	4a1	4a1	NUM
ejpam-173	57	18	+	+	CCONJ
ejpam-173	57	19	2π	2π	PROPN
ejpam-173	57	20	ω1	ω1	PROPN
ejpam-173	57	21	�	�	PROPN
ejpam-173	57	22	n	n	ADP
ejpam-173	57	23	∑	∑	PROPN
ejpam-173	57	24	k=1	k=1	PROPN
ejpam-173	57	25	ai	ai	VERB
ejpam-173	57	26	∫	∫	PROPN
ejpam-173	58	1	ai−ai−1	ai−ai−1	PROPN
ejpam-173	58	2	θ	θ	PROPN
ejpam-173	59	1	k	k	PROPN
ejpam-173	60	1	∫	∫	PROPN
ejpam-173	60	2	θ	θ	PROPN
ejpam-173	60	3	k−1	k−1	PROPN
ejpam-173	60	4	g(r	g(r	PROPN
ejpam-173	60	5	cosθ	cosθ	PROPN
ejpam-173	60	6	,	,	PUNCT
ejpam-173	60	7	r	r	PROPN
ejpam-173	60	8	sinθ	sinθ	PROPN
ejpam-173	60	9	)	)	PUNCT
ejpam-173	60	10	rd	rd	NOUN
ejpam-173	60	11	rdθ	rdθ	PROPN
ejpam-173	60	12	+	+	CCONJ
ejpam-173	60	13	�	�	PROPN
ejpam-173	60	14	4ai	4ai	NOUN
ejpam-173	61	1	+	+	CCONJ
ejpam-173	61	2	2π	2π	NOUN
ejpam-173	61	3	ωi	ωi	PUNCT
ejpam-173	61	4	�	�	PROPN
ejpam-173	61	5	∞	∞	PROPN
ejpam-173	61	6	∑	∑	PROPN
ejpam-173	61	7	s	s	PROPN
ejpam-173	61	8	=	=	PROPN
ejpam-173	61	9	i	i	PROPN
ejpam-173	61	10	n	n	NOUN
ejpam-173	61	11	∑	∑	PUNCT
ejpam-173	61	12	k=1	k=1	PROPN
ejpam-173	61	13	as	as	ADP
ejpam-173	61	14	∫	∫	PROPN
ejpam-173	61	15	as−as−1	as−as−1	PROPN
ejpam-173	61	16	θ	θ	PROPN
ejpam-173	62	1	k	k	PROPN
ejpam-173	62	2	∫	∫	PROPN
ejpam-173	62	3	θ	θ	PROPN
ejpam-173	62	4	k−1	k−1	PROPN
ejpam-173	62	5	g(r	g(r	PROPN
ejpam-173	62	6	cosθ	cosθ	PROPN
ejpam-173	62	7	,	,	PUNCT
ejpam-173	62	8	r	r	PROPN
ejpam-173	62	9	sinθ)rd	sinθ)rd	PROPN
ejpam-173	62	10	rdθ	rdθ	VERB
ejpam-173	62	11			PROPN
ejpam-173	62	12			PROPN
ejpam-173	62	13			PROPN
ejpam-173	62	14			PROPN
ejpam-173	62	15			PROPN
ejpam-173	62	16			PROPN
ejpam-173	62	17			PROPN
ejpam-173	62	18			PROPN
ejpam-173	62	19			PROPN
ejpam-173	62	20			PROPN
ejpam-173	62	21			PROPN
ejpam-173	62	22	(	(	PUNCT
ejpam-173	62	23	1	1	NUM
ejpam-173	62	24	)	)	PUNCT
ejpam-173	62	25	proof	proof	NOUN
ejpam-173	62	26	.	.	PUNCT
ejpam-173	63	1	if	if	SCONJ
ejpam-173	63	2	the	the	DET
ejpam-173	63	3	target	target	NOUN
ejpam-173	63	4	lies	lie	VERB
ejpam-173	63	5	in	in	ADP
ejpam-173	63	6	any	any	DET
ejpam-173	63	7	point	point	NOUN
ejpam-173	63	8	of	of	ADP
ejpam-173	63	9	the	the	DET
ejpam-173	63	10	track	track	NOUN
ejpam-173	63	11	of	of	ADP
ejpam-173	63	12	g1	g1	NOUN
ejpam-173	63	13	,	,	PUNCT
ejpam-173	63	14	then	then	ADV
ejpam-173	63	15	t1	t1	NOUN
ejpam-173	63	16	=	=	NOUN
ejpam-173	63	17	a1	a1	NOUN
ejpam-173	63	18	+	+	CCONJ
ejpam-173	63	19	1	1	NUM
ejpam-173	63	20	2	2	NUM
ejpam-173	63	21	.	.	PUNCT
ejpam-173	64	1	2π	2π	PROPN
ejpam-173	64	2	ω1	ω1	PROPN
ejpam-173	64	3	+	+	CCONJ
ejpam-173	64	4	a1	a1	NOUN
ejpam-173	64	5	=	=	SYM
ejpam-173	64	6	2a1	2a1	NUM
ejpam-173	64	7	+	+	PROPN
ejpam-173	64	8	π	π	PROPN
ejpam-173	64	9	ω1	ω1	PROPN
ejpam-173	64	10	.	.	PUNCT
ejpam-173	65	1	if	if	SCONJ
ejpam-173	65	2	the	the	DET
ejpam-173	65	3	target	target	NOUN
ejpam-173	65	4	lies	lie	VERB
ejpam-173	65	5	in	in	ADP
ejpam-173	65	6	any	any	DET
ejpam-173	65	7	point	point	NOUN
ejpam-173	65	8	of	of	ADP
ejpam-173	65	9	the	the	DET
ejpam-173	65	10	track	track	NOUN
ejpam-173	65	11	of	of	ADP
ejpam-173	65	12	g2	g2	PROPN
ejpam-173	65	13	,	,	PUNCT
ejpam-173	65	14	then	then	ADV
ejpam-173	65	15	t1	t1	NOUN
ejpam-173	65	16	=	=	SYM
ejpam-173	65	17	2(a1	2(a1	NUM
ejpam-173	65	18	+	+	NUM
ejpam-173	65	19	a2	a2	NOUN
ejpam-173	65	20	)	)	PUNCT
ejpam-173	66	1	+	+	NOUN
ejpam-173	66	2	π	π	PROPN
ejpam-173	66	3	(	(	PUNCT
ejpam-173	66	4	1	1	NUM
ejpam-173	66	5	ω1	ω1	NOUN
ejpam-173	66	6	+	+	CCONJ
ejpam-173	66	7	1	1	NUM
ejpam-173	66	8	ω2	ω2	NUM
ejpam-173	66	9	)	)	PUNCT
ejpam-173	66	10	.	.	PUNCT
ejpam-173	67	1	if	if	SCONJ
ejpam-173	67	2	the	the	DET
ejpam-173	67	3	target	target	NOUN
ejpam-173	67	4	lies	lie	VERB
ejpam-173	67	5	in	in	ADP
ejpam-173	67	6	any	any	DET
ejpam-173	67	7	point	point	NOUN
ejpam-173	67	8	of	of	ADP
ejpam-173	67	9	the	the	DET
ejpam-173	67	10	track	track	NOUN
ejpam-173	67	11	of	of	ADP
ejpam-173	67	12	g3	g3	NOUN
ejpam-173	67	13	,	,	PUNCT
ejpam-173	67	14	then	then	ADV
ejpam-173	67	15	t1	t1	PROPN
ejpam-173	67	16	=	=	SYM
ejpam-173	67	17	2(a1+a2+a3)+π	2(a1+a2+a3)+π	NUM
ejpam-173	67	18	(	(	PUNCT
ejpam-173	67	19	1	1	NUM
ejpam-173	67	20	ω1	ω1	NOUN
ejpam-173	67	21	+	+	CCONJ
ejpam-173	67	22	1	1	NUM
ejpam-173	67	23	ω2	ω2	ADJ
ejpam-173	67	24	+	+	CCONJ
ejpam-173	67	25	1	1	NUM
ejpam-173	67	26	ω3	ω3	NOUN
ejpam-173	67	27	)	)	PUNCT
ejpam-173	67	28	,	,	PUNCT
ejpam-173	67	29	and	and	CCONJ
ejpam-173	67	30	so	so	ADV
ejpam-173	67	31	on	on	ADV
ejpam-173	67	32	.	.	PUNCT
ejpam-173	68	1	if	if	SCONJ
ejpam-173	68	2	the	the	DET
ejpam-173	68	3	target	target	NOUN
ejpam-173	68	4	lies	lie	VERB
ejpam-173	68	5	in	in	ADP
ejpam-173	68	6	any	any	DET
ejpam-173	68	7	point	point	NOUN
ejpam-173	68	8	of	of	ADP
ejpam-173	68	9	the	the	DET
ejpam-173	68	10	track	track	NOUN
ejpam-173	68	11	of	of	ADP
ejpam-173	68	12	h1	h1	NOUN
ejpam-173	68	13	,	,	PUNCT
ejpam-173	68	14	then	then	ADV
ejpam-173	68	15	t2	t2	PROPN
ejpam-173	68	16	=	=	SYM
ejpam-173	68	17	2a1	2a1	NUM
ejpam-173	68	18	+	+	PROPN
ejpam-173	68	19	π	π	PROPN
ejpam-173	68	20	ω1	ω1	PROPN
ejpam-173	68	21	.	.	PUNCT
ejpam-173	69	1	if	if	SCONJ
ejpam-173	69	2	the	the	DET
ejpam-173	69	3	target	target	NOUN
ejpam-173	69	4	lies	lie	VERB
ejpam-173	69	5	in	in	ADP
ejpam-173	69	6	any	any	DET
ejpam-173	69	7	point	point	NOUN
ejpam-173	69	8	of	of	ADP
ejpam-173	69	9	the	the	DET
ejpam-173	69	10	track	track	NOUN
ejpam-173	69	11	of	of	ADP
ejpam-173	69	12	h2	h2	NOUN
ejpam-173	69	13	,	,	PUNCT
ejpam-173	69	14	then	then	ADV
ejpam-173	69	15	t2	t2	PROPN
ejpam-173	69	16	=	=	SYM
ejpam-173	69	17	2(a1	2(a1	NUM
ejpam-173	69	18	+	+	NUM
ejpam-173	69	19	a2	a2	NOUN
ejpam-173	69	20	)	)	PUNCT
ejpam-173	70	1	+	+	NOUN
ejpam-173	70	2	π	π	PROPN
ejpam-173	70	3	(	(	PUNCT
ejpam-173	70	4	1	1	NUM
ejpam-173	70	5	ω1	ω1	NOUN
ejpam-173	70	6	+	+	CCONJ
ejpam-173	70	7	1	1	NUM
ejpam-173	70	8	ω2	ω2	NUM
ejpam-173	70	9	)	)	PUNCT
ejpam-173	70	10	.	.	PUNCT
ejpam-173	71	1	if	if	SCONJ
ejpam-173	71	2	the	the	DET
ejpam-173	71	3	target	target	NOUN
ejpam-173	71	4	lies	lie	VERB
ejpam-173	71	5	in	in	ADP
ejpam-173	71	6	any	any	DET
ejpam-173	71	7	point	point	NOUN
ejpam-173	71	8	of	of	ADP
ejpam-173	71	9	the	the	DET
ejpam-173	71	10	track	track	NOUN
ejpam-173	71	11	of	of	ADP
ejpam-173	71	12	h3	h3	NOUN
ejpam-173	71	13	,	,	PUNCT
ejpam-173	71	14	then	then	ADV
ejpam-173	71	15	t2	t2	PROPN
ejpam-173	71	16	=	=	SYM
ejpam-173	71	17	2(a1+a2+a3)+π	2(a1+a2+a3)+π	NUM
ejpam-173	71	18	(	(	PUNCT
ejpam-173	71	19	1	1	NUM
ejpam-173	71	20	ω1	ω1	NOUN
ejpam-173	71	21	+	+	CCONJ
ejpam-173	71	22	1	1	NUM
ejpam-173	71	23	ω2	ω2	ADJ
ejpam-173	71	24	+	+	CCONJ
ejpam-173	71	25	1	1	NUM
ejpam-173	71	26	ω3	ω3	NOUN
ejpam-173	71	27	)	)	PUNCT
ejpam-173	71	28	,	,	PUNCT
ejpam-173	71	29	and	and	CCONJ
ejpam-173	71	30	so	so	ADV
ejpam-173	71	31	on	on	ADV
ejpam-173	71	32	.	.	PUNCT
ejpam-173	72	1	but	but	CCONJ
ejpam-173	72	2	since	since	SCONJ
ejpam-173	72	3	each	each	DET
ejpam-173	72	4	sector	sector	NOUN
ejpam-173	72	5	are	be	AUX
ejpam-173	72	6	devided	devide	VERB
ejpam-173	72	7	into	into	ADP
ejpam-173	72	8	an	an	DET
ejpam-173	72	9	equal	equal	ADJ
ejpam-173	72	10	small	small	ADJ
ejpam-173	72	11	sectors	sector	NOUN
ejpam-173	72	12	li	li	PROPN
ejpam-173	72	13	,	,	PUNCT
ejpam-173	72	14	i	i	NOUN
ejpam-173	72	15	=	=	NOUN
ejpam-173	72	16	1,2	1,2	NUM
ejpam-173	72	17	,	,	PUNCT
ejpam-173	72	18	...	...	PUNCT
ejpam-173	72	19	,	,	PUNCT
ejpam-173	72	20	n	n	CCONJ
ejpam-173	72	21	,	,	PUNCT
ejpam-173	72	22	where	where	SCONJ
ejpam-173	72	23	these	these	DET
ejpam-173	72	24	sctors	sctor	NOUN
ejpam-173	72	25	make	make	VERB
ejpam-173	72	26	a	a	DET
ejpam-173	72	27	set	set	NOUN
ejpam-173	72	28	of	of	ADP
ejpam-173	72	29	an	an	DET
ejpam-173	72	30	equal	equal	ADJ
ejpam-173	72	31	cones	cone	NOUN
ejpam-173	72	32	have	have	VERB
ejpam-173	72	33	the	the	DET
ejpam-173	72	34	same	same	ADJ
ejpam-173	72	35	vertex	vertex	NOUN
ejpam-173	72	36	(	(	PUNCT
ejpam-173	72	37	0,0	0,0	NOUN
ejpam-173	72	38	)	)	PUNCT
ejpam-173	72	39	as	as	ADP
ejpam-173	72	40	in	in	ADP
ejpam-173	72	41	figure	figure	NOUN
ejpam-173	72	42	2	2	NUM
ejpam-173	72	43	,	,	PUNCT
ejpam-173	72	44	but	but	CCONJ
ejpam-173	72	45	the	the	DET
ejpam-173	72	46	searcher	searcher	NOUN
ejpam-173	72	47	can	can	AUX
ejpam-173	72	48	cover	cover	VERB
ejpam-173	72	49	a	a	DET
ejpam-173	72	50	track	track	NOUN
ejpam-173	72	51	with	with	ADP
ejpam-173	72	52	width	width	ADJ
ejpam-173	72	53	ai−ai−1	ai−ai−1	NOUN
ejpam-173	72	54	,	,	PUNCT
ejpam-173	72	55	so	so	SCONJ
ejpam-173	72	56	that	that	SCONJ
ejpam-173	72	57	he	he	PRON
ejpam-173	72	58	cover	cover	VERB
ejpam-173	72	59	an	an	DET
ejpam-173	72	60	area	area	NOUN
ejpam-173	72	61	from	from	ADP
ejpam-173	72	62	each	each	DET
ejpam-173	72	63	cone	cone	NOUN
ejpam-173	72	64	and	and	CCONJ
ejpam-173	72	65	these	these	DET
ejpam-173	72	66	areas	area	NOUN
ejpam-173	72	67	are	be	AUX
ejpam-173	72	68	equal	equal	ADJ
ejpam-173	72	69	with	with	ADP
ejpam-173	72	70	width	width	NOUN
ejpam-173	72	71	ai	ai	AUX
ejpam-173	72	72	−	−	PROPN
ejpam-173	72	73	ai−1	ai−1	PROPN
ejpam-173	72	74	and	and	CCONJ
ejpam-173	72	75	the	the	DET
ejpam-173	72	76	cones	cone	NOUN
ejpam-173	72	77	is	be	AUX
ejpam-173	72	78	determined	determine	VERB
ejpam-173	72	79	by	by	ADP
ejpam-173	72	80	a	a	DET
ejpam-173	72	81	set	set	NOUN
ejpam-173	72	82	of	of	ADP
ejpam-173	72	83	lines	line	NOUN
ejpam-173	72	84	with	with	ADP
ejpam-173	72	85	equations	equation	NOUN
ejpam-173	72	86	x	x	PUNCT
ejpam-173	73	1	=	=	PUNCT
ejpam-173	73	2	mk	mk	PROPN
ejpam-173	73	3	y	y	PROPN
ejpam-173	73	4	=	=	PROPN
ejpam-173	73	5	tanθ	tanθ	PROPN
ejpam-173	73	6	y	y	PROPN
ejpam-173	73	7	,	,	PUNCT
ejpam-173	73	8	where	where	SCONJ
ejpam-173	73	9	θ	θ	PROPN
ejpam-173	73	10	=	=	SYM
ejpam-173	74	1	θ	θ	X
ejpam-173	74	2	k	k	NOUN
ejpam-173	74	3	−	−	PROPN
ejpam-173	74	4	θ	θ	PROPN
ejpam-173	74	5	k−1	k−1	PROPN
ejpam-173	74	6	,	,	PUNCT
ejpam-173	74	7	k	k	NOUN
ejpam-173	74	8	=	=	SYM
ejpam-173	74	9	1,2	1,2	NUM
ejpam-173	74	10	,	,	PUNCT
ejpam-173	74	11	..	..	PUNCT
ejpam-173	74	12	,	,	PUNCT
ejpam-173	74	13	n	n	CCONJ
ejpam-173	74	14	,	,	PUNCT
ejpam-173	74	15	where	where	SCONJ
ejpam-173	74	16	this	this	DET
ejpam-173	74	17	set	set	NOUN
ejpam-173	74	18	of	of	ADP
ejpam-173	74	19	equations	equation	NOUN
ejpam-173	74	20	make	make	VERB
ejpam-173	74	21	a	a	DET
ejpam-173	74	22	set	set	NOUN
ejpam-173	74	23	of	of	ADP
ejpam-173	74	24	an	an	DET
ejpam-173	74	25	equal	equal	ADJ
ejpam-173	74	26	small	small	ADJ
ejpam-173	74	27	areas	area	NOUN
ejpam-173	74	28	,	,	PUNCT
ejpam-173	74	29	by	by	ADP
ejpam-173	74	30	which	which	PRON
ejpam-173	74	31	we	we	PRON
ejpam-173	74	32	mean	mean	VERB
ejpam-173	74	33	for	for	ADP
ejpam-173	74	34	the	the	DET
ejpam-173	74	35	moment	moment	NOUN
ejpam-173	74	36	that	that	SCONJ
ejpam-173	74	37	the	the	DET
ejpam-173	74	38	searcher	searcher	NOUN
ejpam-173	74	39	sees	see	VERB
ejpam-173	74	40	every	every	DET
ejpam-173	74	41	thing	thing	NOUN
ejpam-173	74	42	of	of	ADP
ejpam-173	74	43	his	his	PRON
ejpam-173	74	44	position	position	NOUN
ejpam-173	74	45	,	,	PUNCT
ejpam-173	74	46	and	and	CCONJ
ejpam-173	74	47	nothing	nothing	PRON
ejpam-173	74	48	beyond	beyond	ADP
ejpam-173	74	49	that	that	PRON
ejpam-173	74	50	,	,	PUNCT
ejpam-173	74	51	so	so	SCONJ
ejpam-173	74	52	that	that	SCONJ
ejpam-173	74	53	to	to	PART
ejpam-173	74	54	evaluate	evaluate	VERB
ejpam-173	74	55	the	the	DET
ejpam-173	74	56	expected	expect	VERB
ejpam-173	74	57	value	value	NOUN
ejpam-173	74	58	of	of	ADP
ejpam-173	74	59	the	the	DET
ejpam-173	74	60	time	time	NOUN
ejpam-173	74	61	for	for	SCONJ
ejpam-173	74	62	the	the	DET
ejpam-173	74	63	searchers	searcher	NOUN
ejpam-173	74	64	to	to	PART
ejpam-173	74	65	detect	detect	VERB
ejpam-173	74	66	the	the	DET
ejpam-173	74	67	target	target	NOUN
ejpam-173	74	68	,	,	PUNCT
ejpam-173	74	69	we	we	PRON
ejpam-173	74	70	use	use	VERB
ejpam-173	74	71	the	the	DET
ejpam-173	74	72	polar	polar	ADJ
ejpam-173	74	73	coordinates	coordinate	NOUN
ejpam-173	74	74	with	with	ADP
ejpam-173	74	75	x	x	X
ejpam-173	74	76	=	=	SYM
ejpam-173	74	77	r	r	NOUN
ejpam-173	74	78	cosθ	cosθ	PROPN
ejpam-173	74	79	and	and	CCONJ
ejpam-173	74	80	y	y	PROPN
ejpam-173	74	81	=	=	SYM
ejpam-173	74	82	r	r	NOUN
ejpam-173	74	83	sinθ	sinθ	NOUN
ejpam-173	74	84	,	,	PUNCT
ejpam-173	74	85	r	r	NOUN
ejpam-173	74	86	:	:	PUNCT
ejpam-173	74	87	ai−1	ai−1	PROPN
ejpam-173	74	88	−→	−→	NOUN
ejpam-173	74	89	ai	ai	VERB
ejpam-173	74	90	,	,	PUNCT
ejpam-173	74	91	i	i	NOUN
ejpam-173	74	92	=	=	NOUN
ejpam-173	74	93	1,2,3	1,2,3	NUM
ejpam-173	74	94	,	,	PUNCT
ejpam-173	74	95	...	...	PUNCT
ejpam-173	74	96	and	and	CCONJ
ejpam-173	74	97	θ	θ	NOUN
ejpam-173	74	98	:	:	PUNCT
ejpam-173	75	1	θ	θ	X
ejpam-173	75	2	k−1	k−1	PROPN
ejpam-173	75	3	−→	−→	NOUN
ejpam-173	76	1	θ	θ	PROPN
ejpam-173	76	2	k	k	NOUN
ejpam-173	76	3	,	,	PUNCT
ejpam-173	76	4	k	k	PROPN
ejpam-173	76	5	=	=	PUNCT
ejpam-173	76	6	1,2,3	1,2,3	NUM
ejpam-173	76	7	,	,	PUNCT
ejpam-173	76	8	...	...	PUNCT
ejpam-173	76	9	,	,	PUNCT
ejpam-173	76	10	n	n	CCONJ
ejpam-173	76	11	,	,	PUNCT
ejpam-173	76	12	where	where	SCONJ
ejpam-173	76	13	r0	r0	NOUN
ejpam-173	76	14	=	=	SYM
ejpam-173	76	15	0	0	NUM
ejpam-173	76	16	,	,	PUNCT
ejpam-173	76	17	θ0	θ0	PROPN
ejpam-173	76	18	=	=	SYM
ejpam-173	76	19	0	0	PROPN
ejpam-173	76	20	.	.	PUNCT
ejpam-173	77	1	the	the	DET
ejpam-173	77	2	searchers	searcher	NOUN
ejpam-173	77	3	search	search	VERB
ejpam-173	77	4	on	on	ADP
ejpam-173	77	5	the	the	DET
ejpam-173	77	6	sectors	sector	NOUN
ejpam-173	77	7	and	and	CCONJ
ejpam-173	77	8	it	it	PRON
ejpam-173	77	9	’s	’	VERB
ejpam-173	77	10	tracks	track	NOUN
ejpam-173	77	11	in	in	ADP
ejpam-173	77	12	anti	anti	ADJ
ejpam-173	77	13	clockwise	clockwise	NOUN
ejpam-173	77	14	.	.	PUNCT
ejpam-173	78	1	according	accord	VERB
ejpam-173	78	2	to	to	ADP
ejpam-173	78	3	our	our	PRON
ejpam-173	78	4	assumptions	assumption	NOUN
ejpam-173	78	5	that	that	SCONJ
ejpam-173	78	6	the	the	DET
ejpam-173	78	7	target	target	NOUN
ejpam-173	78	8	has	have	AUX
ejpam-173	78	9	symmetric	symmetric	ADJ
ejpam-173	78	10	distribution	distribution	NOUN
ejpam-173	78	11	,	,	PUNCT
ejpam-173	78	12	hence	hence	ADV
ejpam-173	78	13	e(t(φ	e(t(φ	PROPN
ejpam-173	78	14	)	)	PUNCT
ejpam-173	78	15	)	)	PUNCT
ejpam-173	79	1	=	=	PUNCT
ejpam-173	79	2	�	�	PROPN
ejpam-173	79	3	2a1	2a1	PROPN
ejpam-173	79	4	+	+	CCONJ
ejpam-173	79	5	π	π	PROPN
ejpam-173	79	6	ω1	ω1	PROPN
ejpam-173	79	7	�	�	PROPN
ejpam-173	79	8			PROPN
ejpam-173	79	9			ADJ
ejpam-173	79	10			ADJ
ejpam-173	79	11			ADJ
ejpam-173	79	12			ADJ
ejpam-173	79	13			ADJ
ejpam-173	79	14			ADJ
ejpam-173	79	15			ADJ
ejpam-173	79	16			ADJ
ejpam-173	79	17			ADJ
ejpam-173	79	18			NUM
ejpam-173	79	19	a1	a1	NOUN
ejpam-173	79	20	∫	∫	PROPN
ejpam-173	79	21	0	0	NUM
ejpam-173	79	22	θ	θ	PROPN
ejpam-173	79	23	1	1	NUM
ejpam-173	79	24	∫	∫	NOUN
ejpam-173	79	25	0	0	NUM
ejpam-173	80	1	g(r	g(r	ADV
ejpam-173	80	2	cosθ	cosθ	PROPN
ejpam-173	80	3	,	,	PUNCT
ejpam-173	80	4	r	r	PROPN
ejpam-173	80	5	sinθ	sinθ	PROPN
ejpam-173	80	6	)	)	PUNCT
ejpam-173	80	7	rd	rd	NOUN
ejpam-173	80	8	rdθ	rdθ	VERB
ejpam-173	80	9	+	+	CCONJ
ejpam-173	80	10	...	...	PUNCT
ejpam-173	81	1	+	+	CCONJ
ejpam-173	81	2	a1	a1	NOUN
ejpam-173	81	3	∫	∫	PROPN
ejpam-173	81	4	0	0	NUM
ejpam-173	81	5	θ	θ	PROPN
ejpam-173	81	6	n	n	NUM
ejpam-173	81	7	∫	∫	PROPN
ejpam-173	81	8	θ	θ	PROPN
ejpam-173	81	9	n−1	n−1	PROPN
ejpam-173	82	1	g(r	g(r	PROPN
ejpam-173	82	2	cosθ	cosθ	PROPN
ejpam-173	82	3	,	,	PUNCT
ejpam-173	82	4	r	r	PROPN
ejpam-173	82	5	sinθ	sinθ	PROPN
ejpam-173	82	6	)	)	PUNCT
ejpam-173	82	7	rd	rd	PROPN
ejpam-173	82	8	rdθ	rdθ	VERB
ejpam-173	82	9			PROPN
ejpam-173	82	10			PROPN
ejpam-173	82	11			PROPN
ejpam-173	82	12			PROPN
ejpam-173	82	13			PROPN
ejpam-173	82	14			PROPN
ejpam-173	82	15			PROPN
ejpam-173	82	16			PROPN
ejpam-173	82	17			PROPN
ejpam-173	82	18			PROPN
ejpam-173	82	19			PROPN
ejpam-173	82	20	a.	a.	NOUN
ejpam-173	82	21	el	el	PROPN
ejpam-173	82	22	-	-	PUNCT
ejpam-173	82	23	moneim	moneim	PROPN
ejpam-173	82	24	,	,	PUNCT
ejpam-173	82	25	h.	h.	PROPN
ejpam-173	82	26	gabal	gabal	PROPN
ejpam-173	82	27	,	,	PUNCT
ejpam-173	82	28	and	and	CCONJ
ejpam-173	82	29	m.	m.	PROPN
ejpam-173	82	30	el	el	PROPN
ejpam-173	82	31	-	-	PUNCT
ejpam-173	82	32	hadidy	hadidy	ADJ
ejpam-173	82	33	/	/	SYM
ejpam-173	82	34	eur	eur	NOUN
ejpam-173	82	35	.	.	PUNCT
ejpam-173	83	1	j.	j.	PROPN
ejpam-173	83	2	pure	pure	PROPN
ejpam-173	83	3	appl	appl	PROPN
ejpam-173	83	4	.	.	PROPN
ejpam-173	83	5	math	math	PROPN
ejpam-173	83	6	,	,	PUNCT
ejpam-173	83	7	2	2	NUM
ejpam-173	83	8	(	(	PUNCT
ejpam-173	83	9	2009	2009	NUM
ejpam-173	83	10	)	)	PUNCT
ejpam-173	83	11	,	,	PUNCT
ejpam-173	83	12	(	(	PUNCT
ejpam-173	83	13	97	97	NUM
ejpam-173	83	14	-	-	SYM
ejpam-173	83	15	111	111	NUM
ejpam-173	83	16	)	)	PUNCT
ejpam-173	83	17	103	103	NUM
ejpam-173	83	18	+	+	CCONJ
ejpam-173	83	19	�	�	PROPN
ejpam-173	83	20	2(a1	2(a1	NUM
ejpam-173	83	21	+	+	NUM
ejpam-173	83	22	a2	a2	NOUN
ejpam-173	83	23	)	)	PUNCT
ejpam-173	84	1	+	+	NOUN
ejpam-173	84	2	π	π	PROPN
ejpam-173	84	3	(	(	PUNCT
ejpam-173	84	4	1	1	NUM
ejpam-173	84	5	ω1	ω1	NOUN
ejpam-173	84	6	+	+	CCONJ
ejpam-173	84	7	1	1	NUM
ejpam-173	84	8	ω2	ω2	ADJ
ejpam-173	84	9	)	)	PUNCT
ejpam-173	84	10	�	�	PROPN
ejpam-173	84	11			PROPN
ejpam-173	84	12			ADJ
ejpam-173	84	13			ADJ
ejpam-173	84	14			ADJ
ejpam-173	84	15			ADJ
ejpam-173	84	16			ADJ
ejpam-173	84	17			ADJ
ejpam-173	84	18			ADJ
ejpam-173	84	19			ADJ
ejpam-173	84	20			ADJ
ejpam-173	84	21			NUM
ejpam-173	84	22	a2	a2	PROPN
ejpam-173	84	23	∫	∫	PROPN
ejpam-173	85	1	a2−a1	a2−a1	ADP
ejpam-173	85	2	θ1	θ1	PROPN
ejpam-173	85	3	∫	∫	PROPN
ejpam-173	85	4	0	0	PUNCT
ejpam-173	86	1	g(r	g(r	ADV
ejpam-173	86	2	cosθ	cosθ	NUM
ejpam-173	86	3	,	,	PUNCT
ejpam-173	86	4	r	r	PROPN
ejpam-173	86	5	sinθ)rd	sinθ)rd	X
ejpam-173	86	6	rdθ	rdθ	INTJ
ejpam-173	86	7	+	+	CCONJ
ejpam-173	86	8	...	...	PUNCT
ejpam-173	87	1	+	+	CCONJ
ejpam-173	87	2	a2	a2	PROPN
ejpam-173	87	3	∫	∫	PROPN
ejpam-173	87	4	a2−a1	a2−a1	ADP
ejpam-173	87	5	θ	θ	PROPN
ejpam-173	87	6	n	n	CCONJ
ejpam-173	87	7	∫	∫	PROPN
ejpam-173	87	8	θ	θ	PROPN
ejpam-173	87	9	n−1	n−1	PROPN
ejpam-173	88	1	g(r	g(r	PROPN
ejpam-173	88	2	cosθ	cosθ	PROPN
ejpam-173	88	3	,	,	PUNCT
ejpam-173	88	4	r	r	PROPN
ejpam-173	88	5	sinθ)rd	sinθ)rd	PROPN
ejpam-173	88	6	rdθ	rdθ	VERB
ejpam-173	88	7			PROPN
ejpam-173	88	8			PROPN
ejpam-173	88	9			PROPN
ejpam-173	88	10			PROPN
ejpam-173	88	11			PROPN
ejpam-173	88	12			PROPN
ejpam-173	88	13			PROPN
ejpam-173	88	14			PROPN
ejpam-173	88	15			PROPN
ejpam-173	88	16			PROPN
ejpam-173	88	17			PROPN
ejpam-173	88	18	+	+	PROPN
ejpam-173	88	19	�	�	PROPN
ejpam-173	88	20	2(a1	2(a1	NUM
ejpam-173	88	21	+	+	NUM
ejpam-173	88	22	a2	a2	PROPN
ejpam-173	88	23	+	+	NUM
ejpam-173	88	24	a3	a3	NOUN
ejpam-173	88	25	)	)	PUNCT
ejpam-173	89	1	+	+	NOUN
ejpam-173	89	2	π	π	PROPN
ejpam-173	89	3	(	(	PUNCT
ejpam-173	89	4	1	1	NUM
ejpam-173	89	5	ω1	ω1	NOUN
ejpam-173	89	6	+	+	CCONJ
ejpam-173	89	7	1	1	NUM
ejpam-173	89	8	ω2	ω2	ADJ
ejpam-173	89	9	+	+	CCONJ
ejpam-173	89	10	1	1	NUM
ejpam-173	89	11	ω3	ω3	ADJ
ejpam-173	89	12	)	)	PUNCT
ejpam-173	89	13	�	�	PROPN
ejpam-173	89	14			PROPN
ejpam-173	89	15			ADJ
ejpam-173	89	16			ADJ
ejpam-173	89	17			ADJ
ejpam-173	89	18			ADJ
ejpam-173	89	19			ADJ
ejpam-173	89	20			ADJ
ejpam-173	89	21			ADJ
ejpam-173	89	22			ADJ
ejpam-173	89	23			ADJ
ejpam-173	89	24			NUM
ejpam-173	89	25	a3	a3	PROPN
ejpam-173	89	26	∫	∫	PROPN
ejpam-173	89	27	a3−a2	a3−a2	PROPN
ejpam-173	90	1	θ	θ	PROPN
ejpam-173	90	2	1	1	NUM
ejpam-173	90	3	∫	∫	NOUN
ejpam-173	90	4	0	0	NUM
ejpam-173	91	1	g(r	g(r	ADV
ejpam-173	91	2	cosθ	cosθ	PROPN
ejpam-173	91	3	,	,	PUNCT
ejpam-173	91	4	r	r	PROPN
ejpam-173	91	5	sinθ	sinθ	PROPN
ejpam-173	91	6	)	)	PUNCT
ejpam-173	91	7	rd	rd	NOUN
ejpam-173	91	8	rdθ	rdθ	VERB
ejpam-173	91	9	+	+	CCONJ
ejpam-173	91	10	...	...	PUNCT
ejpam-173	92	1	+	+	NUM
ejpam-173	92	2	a3	a3	PROPN
ejpam-173	92	3	∫	∫	PROPN
ejpam-173	92	4	a3−a2	a3−a2	PROPN
ejpam-173	92	5	θ	θ	PROPN
ejpam-173	92	6	n	n	CCONJ
ejpam-173	92	7	∫	∫	PROPN
ejpam-173	92	8	θ	θ	PROPN
ejpam-173	92	9	n−1	n−1	PROPN
ejpam-173	92	10	g(r	g(r	PROPN
ejpam-173	92	11	cosθ	cosθ	PROPN
ejpam-173	92	12	,	,	PUNCT
ejpam-173	92	13	r	r	PROPN
ejpam-173	92	14	sinθ)rd	sinθ)rd	PROPN
ejpam-173	92	15	rdθ	rdθ	VERB
ejpam-173	92	16			PROPN
ejpam-173	92	17			PROPN
ejpam-173	92	18			PROPN
ejpam-173	92	19			PROPN
ejpam-173	92	20			PROPN
ejpam-173	92	21			PROPN
ejpam-173	92	22			PROPN
ejpam-173	92	23			PROPN
ejpam-173	92	24			PROPN
ejpam-173	92	25			PROPN
ejpam-173	92	26			PROPN
ejpam-173	92	27	+	+	PROPN
ejpam-173	92	28	...	...	PUNCT
ejpam-173	93	1	+	+	CCONJ
ejpam-173	93	2	�	�	PROPN
ejpam-173	93	3	2a1	2a1	NUM
ejpam-173	93	4	+	+	PROPN
ejpam-173	93	5	π	π	PROPN
ejpam-173	93	6	ω1	ω1	PROPN
ejpam-173	93	7	�	�	PROPN
ejpam-173	93	8			PROPN
ejpam-173	93	9			ADJ
ejpam-173	93	10			ADJ
ejpam-173	93	11			ADJ
ejpam-173	93	12			ADJ
ejpam-173	93	13			ADJ
ejpam-173	93	14			ADJ
ejpam-173	93	15			ADJ
ejpam-173	93	16			ADJ
ejpam-173	93	17			ADJ
ejpam-173	93	18			NUM
ejpam-173	93	19	a1	a1	PROPN
ejpam-173	93	20	∫	∫	PROPN
ejpam-173	93	21	0	0	NUM
ejpam-173	93	22	θ1	θ1	PROPN
ejpam-173	93	23	∫	∫	PROPN
ejpam-173	93	24	0	0	PUNCT
ejpam-173	94	1	g(r	g(r	ADV
ejpam-173	94	2	cosθ	cosθ	NUM
ejpam-173	94	3	,	,	PUNCT
ejpam-173	94	4	r	r	PROPN
ejpam-173	94	5	sinθ)rd	sinθ)rd	X
ejpam-173	94	6	rdθ	rdθ	INTJ
ejpam-173	94	7	+	+	CCONJ
ejpam-173	94	8	...	...	PUNCT
ejpam-173	95	1	+	+	CCONJ
ejpam-173	95	2	a1	a1	NOUN
ejpam-173	95	3	∫	∫	PROPN
ejpam-173	95	4	0	0	NUM
ejpam-173	95	5	θ	θ	PROPN
ejpam-173	95	6	n	n	NUM
ejpam-173	95	7	∫	∫	PROPN
ejpam-173	95	8	θ	θ	PROPN
ejpam-173	95	9	n−1	n−1	PROPN
ejpam-173	96	1	g(r	g(r	PROPN
ejpam-173	96	2	cosθ	cosθ	PROPN
ejpam-173	96	3	,	,	PUNCT
ejpam-173	96	4	r	r	PROPN
ejpam-173	96	5	sinθ	sinθ	PROPN
ejpam-173	96	6	)	)	PUNCT
ejpam-173	96	7	rd	rd	PROPN
ejpam-173	96	8	rdθ	rdθ	VERB
ejpam-173	96	9			PROPN
ejpam-173	96	10			PROPN
ejpam-173	96	11			PROPN
ejpam-173	96	12			PROPN
ejpam-173	96	13			PROPN
ejpam-173	96	14			PROPN
ejpam-173	96	15			PROPN
ejpam-173	96	16			PROPN
ejpam-173	96	17			PROPN
ejpam-173	96	18			PROPN
ejpam-173	96	19			PROPN
ejpam-173	96	20	+	+	PROPN
ejpam-173	96	21	�	�	PROPN
ejpam-173	96	22	2(a1	2(a1	NUM
ejpam-173	96	23	+	+	NUM
ejpam-173	96	24	a2	a2	NOUN
ejpam-173	96	25	)	)	PUNCT
ejpam-173	97	1	+	+	NOUN
ejpam-173	97	2	π	π	PROPN
ejpam-173	97	3	(	(	PUNCT
ejpam-173	97	4	1	1	NUM
ejpam-173	97	5	ω1	ω1	NOUN
ejpam-173	97	6	+	+	CCONJ
ejpam-173	97	7	1	1	NUM
ejpam-173	97	8	ω2	ω2	ADJ
ejpam-173	97	9	)	)	PUNCT
ejpam-173	97	10	�	�	PROPN
ejpam-173	97	11			PROPN
ejpam-173	97	12			ADJ
ejpam-173	98	1			ADJ
ejpam-173	98	2			ADJ
ejpam-173	98	3			ADJ
ejpam-173	98	4			ADJ
ejpam-173	98	5			ADJ
ejpam-173	98	6			ADJ
ejpam-173	98	7			ADJ
ejpam-173	98	8			ADJ
ejpam-173	98	9			NUM
ejpam-173	98	10	a2	a2	PROPN
ejpam-173	98	11	∫	∫	PROPN
ejpam-173	98	12	a2−a1	a2−a1	PROPN
ejpam-173	98	13	θ	θ	PROPN
ejpam-173	98	14	1	1	NUM
ejpam-173	98	15	∫	∫	NOUN
ejpam-173	98	16	0	0	NUM
ejpam-173	99	1	g(r	g(r	ADV
ejpam-173	99	2	cosθ	cosθ	PROPN
ejpam-173	99	3	,	,	PUNCT
ejpam-173	99	4	r	r	PROPN
ejpam-173	99	5	sinθ)rd	sinθ)rd	X
ejpam-173	99	6	rdθ	rdθ	INTJ
ejpam-173	99	7	+	+	CCONJ
ejpam-173	99	8	...	...	PUNCT
ejpam-173	100	1	+	+	CCONJ
ejpam-173	100	2	a2	a2	PROPN
ejpam-173	100	3	∫	∫	PROPN
ejpam-173	100	4	a2−a1	a2−a1	ADP
ejpam-173	100	5	θ	θ	PROPN
ejpam-173	100	6	n	n	CCONJ
ejpam-173	100	7	∫	∫	PROPN
ejpam-173	100	8	θ	θ	PROPN
ejpam-173	100	9	n−1	n−1	PROPN
ejpam-173	101	1	g(r	g(r	PROPN
ejpam-173	101	2	cosθ	cosθ	PROPN
ejpam-173	101	3	,	,	PUNCT
ejpam-173	101	4	r	r	PROPN
ejpam-173	101	5	sinθ	sinθ	PROPN
ejpam-173	101	6	)	)	PUNCT
ejpam-173	101	7	rd	rd	PROPN
ejpam-173	101	8	rdθ	rdθ	VERB
ejpam-173	101	9			PROPN
ejpam-173	101	10			PROPN
ejpam-173	101	11			PROPN
ejpam-173	101	12			PROPN
ejpam-173	101	13			PROPN
ejpam-173	101	14			PROPN
ejpam-173	101	15			PROPN
ejpam-173	101	16			PROPN
ejpam-173	101	17			PROPN
ejpam-173	101	18			PROPN
ejpam-173	101	19			PROPN
ejpam-173	101	20	+	+	PROPN
ejpam-173	101	21	�	�	PROPN
ejpam-173	101	22	2(a1	2(a1	NUM
ejpam-173	101	23	+	+	NUM
ejpam-173	101	24	a2	a2	PROPN
ejpam-173	101	25	+	+	NUM
ejpam-173	101	26	a3	a3	NOUN
ejpam-173	101	27	)	)	PUNCT
ejpam-173	102	1	+	+	NOUN
ejpam-173	102	2	π	π	PROPN
ejpam-173	102	3	(	(	PUNCT
ejpam-173	102	4	1	1	NUM
ejpam-173	102	5	ω1	ω1	NOUN
ejpam-173	102	6	+	+	CCONJ
ejpam-173	102	7	1	1	NUM
ejpam-173	102	8	ω2	ω2	ADJ
ejpam-173	102	9	+	+	CCONJ
ejpam-173	102	10	1	1	NUM
ejpam-173	102	11	ω3	ω3	ADJ
ejpam-173	102	12	)	)	PUNCT
ejpam-173	102	13	�	�	PROPN
ejpam-173	102	14			PROPN
ejpam-173	102	15			ADJ
ejpam-173	102	16			ADJ
ejpam-173	102	17			ADJ
ejpam-173	102	18			ADJ
ejpam-173	102	19			ADJ
ejpam-173	102	20			ADJ
ejpam-173	102	21			ADJ
ejpam-173	102	22			ADJ
ejpam-173	102	23			ADJ
ejpam-173	102	24			NUM
ejpam-173	102	25	a3	a3	PROPN
ejpam-173	102	26	∫	∫	PROPN
ejpam-173	102	27	a3−a2	a3−a2	PROPN
ejpam-173	103	1	θ	θ	PROPN
ejpam-173	103	2	1	1	NUM
ejpam-173	103	3	∫	∫	NOUN
ejpam-173	103	4	0	0	NUM
ejpam-173	104	1	g(r	g(r	ADV
ejpam-173	104	2	cosθ	cosθ	PROPN
ejpam-173	104	3	,	,	PUNCT
ejpam-173	104	4	r	r	PROPN
ejpam-173	104	5	sinθ	sinθ	PROPN
ejpam-173	104	6	)	)	PUNCT
ejpam-173	104	7	rd	rd	NOUN
ejpam-173	104	8	rdθ	rdθ	VERB
ejpam-173	104	9	+	+	CCONJ
ejpam-173	104	10	...	...	PUNCT
ejpam-173	105	1	+	+	NUM
ejpam-173	105	2	a3	a3	PROPN
ejpam-173	105	3	∫	∫	PROPN
ejpam-173	105	4	a3−a2	a3−a2	PROPN
ejpam-173	105	5	θ	θ	PROPN
ejpam-173	105	6	n	n	CCONJ
ejpam-173	105	7	∫	∫	PROPN
ejpam-173	105	8	θ	θ	PROPN
ejpam-173	105	9	n−1	n−1	PROPN
ejpam-173	105	10	g(r	g(r	PROPN
ejpam-173	105	11	cosθ	cosθ	PROPN
ejpam-173	105	12	,	,	PUNCT
ejpam-173	105	13	r	r	PROPN
ejpam-173	105	14	sinθ)rd	sinθ)rd	PROPN
ejpam-173	105	15	rdθ	rdθ	VERB
ejpam-173	105	16			PROPN
ejpam-173	105	17			PROPN
ejpam-173	105	18			PROPN
ejpam-173	105	19			PROPN
ejpam-173	105	20			PROPN
ejpam-173	105	21			PROPN
ejpam-173	105	22			PROPN
ejpam-173	105	23			PROPN
ejpam-173	105	24			PROPN
ejpam-173	105	25			PROPN
ejpam-173	105	26			PROPN
ejpam-173	105	27	+	+	PROPN
ejpam-173	105	28	...	...	PUNCT
ejpam-173	105	29	and	and	CCONJ
ejpam-173	105	30	so	so	ADV
ejpam-173	105	31	on	on	ADV
ejpam-173	105	32	,	,	PUNCT
ejpam-173	105	33	then	then	ADV
ejpam-173	105	34	e(t(φ	e(t(φ	PROPN
ejpam-173	105	35	)	)	PUNCT
ejpam-173	105	36	)	)	PUNCT
ejpam-173	106	1	=	=	SYM
ejpam-173	106	2	2	2	NUM
ejpam-173	106	3	h	h	NOUN
ejpam-173	106	4	2a1	2a1	NUM
ejpam-173	106	5	+	+	CCONJ
ejpam-173	106	6	π	π	PROPN
ejpam-173	106	7	ω1	ω1	PROPN
ejpam-173	106	8	i	i	PRON
ejpam-173	106	9			VERB
ejpam-173	106	10			ADJ
ejpam-173	106	11			ADJ
ejpam-173	106	12			NOUN
ejpam-173	107	1	n	n	CCONJ
ejpam-173	107	2	∑	∑	PUNCT
ejpam-173	107	3	k=1	k=1	ADP
ejpam-173	107	4	a1	a1	PROPN
ejpam-173	107	5	∫	∫	PROPN
ejpam-173	107	6	0	0	NUM
ejpam-173	108	1	θ	θ	PROPN
ejpam-173	108	2	k	k	NOUN
ejpam-173	109	1	∫	∫	PROPN
ejpam-173	109	2	θ	θ	PROPN
ejpam-173	109	3	k−1	k−1	PROPN
ejpam-173	109	4	g(r	g(r	PROPN
ejpam-173	109	5	cosθ	cosθ	PROPN
ejpam-173	109	6	,	,	PUNCT
ejpam-173	109	7	r	r	PROPN
ejpam-173	109	8	sinθ)rd	sinθ)rd	PROPN
ejpam-173	109	9	rdθ	rdθ	VERB
ejpam-173	109	10			PROPN
ejpam-173	109	11			PROPN
ejpam-173	109	12			PROPN
ejpam-173	109	13			PROPN
ejpam-173	109	14	a.	a.	NOUN
ejpam-173	109	15	el	el	PROPN
ejpam-173	109	16	-	-	PUNCT
ejpam-173	109	17	moneim	moneim	PROPN
ejpam-173	109	18	,	,	PUNCT
ejpam-173	109	19	h.	h.	PROPN
ejpam-173	109	20	gabal	gabal	PROPN
ejpam-173	109	21	,	,	PUNCT
ejpam-173	109	22	and	and	CCONJ
ejpam-173	109	23	m.	m.	PROPN
ejpam-173	109	24	el	el	PROPN
ejpam-173	109	25	-	-	PUNCT
ejpam-173	109	26	hadidy	hadidy	ADJ
ejpam-173	109	27	/	/	SYM
ejpam-173	109	28	eur	eur	NOUN
ejpam-173	109	29	.	.	PUNCT
ejpam-173	110	1	j.	j.	PROPN
ejpam-173	110	2	pure	pure	PROPN
ejpam-173	110	3	appl	appl	PROPN
ejpam-173	110	4	.	.	PROPN
ejpam-173	110	5	math	math	PROPN
ejpam-173	110	6	,	,	PUNCT
ejpam-173	110	7	2	2	NUM
ejpam-173	110	8	(	(	PUNCT
ejpam-173	110	9	2009	2009	NUM
ejpam-173	110	10	)	)	PUNCT
ejpam-173	110	11	,	,	PUNCT
ejpam-173	110	12	(	(	PUNCT
ejpam-173	110	13	97	97	NUM
ejpam-173	110	14	-	-	SYM
ejpam-173	110	15	111	111	NUM
ejpam-173	110	16	)	)	PUNCT
ejpam-173	110	17	104	104	NUM
ejpam-173	111	1	+2	+2	PROPN
ejpam-173	111	2	h	h	NOUN
ejpam-173	111	3	2(a1	2(a1	NUM
ejpam-173	111	4	+	+	NOUN
ejpam-173	111	5	a2)+π	a2)+π	PROPN
ejpam-173	111	6	�	�	PROPN
ejpam-173	111	7	1	1	NUM
ejpam-173	111	8	ω1	ω1	PROPN
ejpam-173	111	9	+	+	CCONJ
ejpam-173	111	10	1	1	NUM
ejpam-173	111	11	ω2	ω2	ADJ
ejpam-173	111	12	�	�	PROPN
ejpam-173	111	13	i	i	PRON
ejpam-173	111	14			VERB
ejpam-173	111	15			ADJ
ejpam-173	111	16			ADJ
ejpam-173	111	17			NOUN
ejpam-173	111	18	n	n	CCONJ
ejpam-173	111	19	∑	∑	PUNCT
ejpam-173	111	20	k=1	k=1	PROPN
ejpam-173	111	21	a2	a2	PROPN
ejpam-173	111	22	∫	∫	PROPN
ejpam-173	112	1	a2−a1	a2−a1	PROPN
ejpam-173	112	2	θ	θ	PROPN
ejpam-173	112	3	k	k	PROPN
ejpam-173	113	1	∫	∫	PROPN
ejpam-173	113	2	θ	θ	PROPN
ejpam-173	113	3	k−1	k−1	PROPN
ejpam-173	113	4	g(r	g(r	PROPN
ejpam-173	113	5	cosθ	cosθ	PROPN
ejpam-173	113	6	,	,	PUNCT
ejpam-173	113	7	r	r	PROPN
ejpam-173	113	8	sinθ	sinθ	PROPN
ejpam-173	113	9	)	)	PUNCT
ejpam-173	113	10	rd	rd	PROPN
ejpam-173	113	11	rdθ	rdθ	VERB
ejpam-173	113	12			PROPN
ejpam-173	113	13			PROPN
ejpam-173	113	14			PROPN
ejpam-173	113	15			PROPN
ejpam-173	113	16	+2	+2	PROPN
ejpam-173	113	17	h	h	NOUN
ejpam-173	113	18	2(a1	2(a1	NUM
ejpam-173	113	19	+	+	NUM
ejpam-173	113	20	a2	a2	PROPN
ejpam-173	113	21	+	+	NUM
ejpam-173	113	22	a3	a3	NOUN
ejpam-173	113	23	)	)	PUNCT
ejpam-173	114	1	+	+	NOUN
ejpam-173	114	2	π	π	PROPN
ejpam-173	114	3	�	�	PROPN
ejpam-173	114	4	1	1	NUM
ejpam-173	114	5	ω1	ω1	PROPN
ejpam-173	114	6	+	+	CCONJ
ejpam-173	114	7	1	1	NUM
ejpam-173	114	8	ω2	ω2	ADJ
ejpam-173	114	9	+	+	CCONJ
ejpam-173	114	10	1	1	NUM
ejpam-173	114	11	ω3	ω3	PROPN
ejpam-173	114	12	�	�	PROPN
ejpam-173	114	13	i	i	PRON
ejpam-173	114	14			VERB
ejpam-173	114	15			ADJ
ejpam-173	114	16			ADJ
ejpam-173	114	17			NOUN
ejpam-173	115	1	n	n	CCONJ
ejpam-173	115	2	∑	∑	PUNCT
ejpam-173	115	3	k=1	k=1	PROPN
ejpam-173	115	4	a3	a3	PROPN
ejpam-173	115	5	∫	∫	PROPN
ejpam-173	116	1	a3−a2	a3−a2	PROPN
ejpam-173	117	1	θ	θ	PROPN
ejpam-173	117	2	k	k	X
ejpam-173	118	1	∫	∫	PROPN
ejpam-173	118	2	θ	θ	PROPN
ejpam-173	118	3	k−1	k−1	PROPN
ejpam-173	118	4	g(r	g(r	PROPN
ejpam-173	118	5	cosθ	cosθ	PROPN
ejpam-173	118	6	,	,	PUNCT
ejpam-173	118	7	r	r	PROPN
ejpam-173	118	8	sinθ	sinθ	PROPN
ejpam-173	118	9	)	)	PUNCT
ejpam-173	118	10	rd	rd	PROPN
ejpam-173	118	11	rdθ	rdθ	VERB
ejpam-173	118	12			PROPN
ejpam-173	118	13			PROPN
ejpam-173	118	14			PROPN
ejpam-173	118	15			PROPN
ejpam-173	118	16	+	+	PROPN
ejpam-173	118	17	...	...	PUNCT
ejpam-173	118	18	=	=	SYM
ejpam-173	118	19	�	�	PROPN
ejpam-173	118	20	4a1	4a1	NUM
ejpam-173	118	21	+	+	CCONJ
ejpam-173	118	22	2π	2π	PROPN
ejpam-173	118	23	ω1	ω1	PROPN
ejpam-173	118	24	�	�	PROPN
ejpam-173	118	25			PROPN
ejpam-173	118	26			ADJ
ejpam-173	118	27			ADJ
ejpam-173	118	28			ADJ
ejpam-173	118	29			ADJ
ejpam-173	118	30			ADJ
ejpam-173	118	31			ADJ
ejpam-173	118	32			ADJ
ejpam-173	118	33			ADJ
ejpam-173	118	34			ADJ
ejpam-173	118	35			ADJ
ejpam-173	118	36			ADJ
ejpam-173	118	37			ADJ
ejpam-173	118	38			ADJ
ejpam-173	118	39			ADJ
ejpam-173	118	40			ADJ
ejpam-173	118	41			ADJ
ejpam-173	118	42			NOUN
ejpam-173	119	1	n	n	CCONJ
ejpam-173	119	2	∑	∑	PUNCT
ejpam-173	119	3	k=1	k=1	ADP
ejpam-173	119	4	a1	a1	PROPN
ejpam-173	119	5	∫	∫	PROPN
ejpam-173	119	6	0	0	NUM
ejpam-173	120	1	θ	θ	PROPN
ejpam-173	120	2	k	k	NOUN
ejpam-173	121	1	∫	∫	PROPN
ejpam-173	121	2	θ	θ	PROPN
ejpam-173	121	3	k−1	k−1	PROPN
ejpam-173	121	4	g(r	g(r	PROPN
ejpam-173	121	5	cosθ	cosθ	PROPN
ejpam-173	121	6	,	,	PUNCT
ejpam-173	121	7	r	r	PROPN
ejpam-173	121	8	sinθ	sinθ	PROPN
ejpam-173	121	9	)	)	PUNCT
ejpam-173	121	10	rd	rd	NOUN
ejpam-173	121	11	rdθ	rdθ	NOUN
ejpam-173	121	12	+	+	CCONJ
ejpam-173	121	13	n	n	CCONJ
ejpam-173	121	14	∑	∑	ADV
ejpam-173	121	15	k=1	k=1	PROPN
ejpam-173	121	16	a2	a2	PROPN
ejpam-173	121	17	∫	∫	PROPN
ejpam-173	122	1	a2−a1	a2−a1	PROPN
ejpam-173	122	2	θ	θ	PROPN
ejpam-173	122	3	k	k	PROPN
ejpam-173	123	1	∫	∫	PROPN
ejpam-173	123	2	θ	θ	PROPN
ejpam-173	123	3	k−1	k−1	PROPN
ejpam-173	123	4	g(r	g(r	PROPN
ejpam-173	123	5	cosθ	cosθ	PROPN
ejpam-173	123	6	,	,	PUNCT
ejpam-173	123	7	r	r	PROPN
ejpam-173	123	8	sinθ	sinθ	PROPN
ejpam-173	123	9	)	)	PUNCT
ejpam-173	123	10	rd	rd	NOUN
ejpam-173	123	11	rdθ	rdθ	NOUN
ejpam-173	123	12	+	+	CCONJ
ejpam-173	123	13	n	n	CCONJ
ejpam-173	123	14	∑	∑	PUNCT
ejpam-173	123	15	k=1	k=1	PROPN
ejpam-173	123	16	a3	a3	PROPN
ejpam-173	123	17	∫	∫	PROPN
ejpam-173	123	18	a3−a2	a3−a2	PROPN
ejpam-173	124	1	θ	θ	PROPN
ejpam-173	124	2	k	k	X
ejpam-173	125	1	∫	∫	PROPN
ejpam-173	125	2	θ	θ	PROPN
ejpam-173	125	3	k−1	k−1	PROPN
ejpam-173	125	4	g(r	g(r	PROPN
ejpam-173	125	5	cosθ	cosθ	PROPN
ejpam-173	125	6	,	,	PUNCT
ejpam-173	125	7	r	r	PROPN
ejpam-173	125	8	sinθ	sinθ	PROPN
ejpam-173	125	9	)	)	PUNCT
ejpam-173	125	10	rd	rd	NOUN
ejpam-173	125	11	rdθ	rdθ	VERB
ejpam-173	125	12	+	+	CCONJ
ejpam-173	125	13	...	...	PUNCT
ejpam-173	125	14			PROPN
ejpam-173	125	15			PROPN
ejpam-173	125	16			PROPN
ejpam-173	126	1			PROPN
ejpam-173	127	1			PROPN
ejpam-173	128	1			PROPN
ejpam-173	129	1			PROPN
ejpam-173	130	1			PROPN
ejpam-173	131	1			PROPN
ejpam-173	132	1			PROPN
ejpam-173	133	1			PROPN
ejpam-173	134	1			PROPN
ejpam-173	135	1			PROPN
ejpam-173	136	1			PROPN
ejpam-173	137	1			PROPN
ejpam-173	137	2			PROPN
ejpam-173	137	3			PROPN
ejpam-173	137	4			PROPN
ejpam-173	137	5	+	+	PROPN
ejpam-173	137	6	�	�	PROPN
ejpam-173	137	7	4a2	4a2	NUM
ejpam-173	137	8	+	+	CCONJ
ejpam-173	137	9	2π	2π	PROPN
ejpam-173	137	10	ω2	ω2	PROPN
ejpam-173	137	11	�	�	PROPN
ejpam-173	137	12			PROPN
ejpam-173	137	13			ADJ
ejpam-173	137	14			ADJ
ejpam-173	137	15			ADJ
ejpam-173	137	16			ADJ
ejpam-173	137	17			ADJ
ejpam-173	137	18			ADJ
ejpam-173	137	19			ADJ
ejpam-173	137	20			ADJ
ejpam-173	137	21			ADJ
ejpam-173	137	22			ADJ
ejpam-173	137	23			ADJ
ejpam-173	137	24			ADJ
ejpam-173	137	25			ADJ
ejpam-173	137	26			ADJ
ejpam-173	137	27			ADJ
ejpam-173	137	28			ADJ
ejpam-173	137	29			NOUN
ejpam-173	137	30	n	n	CCONJ
ejpam-173	137	31	∑	∑	PUNCT
ejpam-173	137	32	k=1	k=1	PROPN
ejpam-173	137	33	a2	a2	PROPN
ejpam-173	137	34	∫	∫	PROPN
ejpam-173	138	1	a2−a1	a2−a1	PROPN
ejpam-173	138	2	θ	θ	PROPN
ejpam-173	138	3	k	k	PROPN
ejpam-173	139	1	∫	∫	PROPN
ejpam-173	139	2	θ	θ	PROPN
ejpam-173	139	3	k−1	k−1	PROPN
ejpam-173	139	4	g(r	g(r	PROPN
ejpam-173	139	5	cosθ	cosθ	PROPN
ejpam-173	139	6	,	,	PUNCT
ejpam-173	139	7	r	r	PROPN
ejpam-173	139	8	sinθ)rd	sinθ)rd	X
ejpam-173	140	1	rdθ	rdθ	INTJ
ejpam-173	140	2	+	+	CCONJ
ejpam-173	141	1	n	n	CCONJ
ejpam-173	141	2	∑	∑	PUNCT
ejpam-173	141	3	k=1	k=1	PROPN
ejpam-173	141	4	a3	a3	PROPN
ejpam-173	141	5	∫	∫	PROPN
ejpam-173	141	6	a3−a2	a3−a2	PROPN
ejpam-173	142	1	θ	θ	PROPN
ejpam-173	142	2	k	k	X
ejpam-173	143	1	∫	∫	PROPN
ejpam-173	143	2	θ	θ	PROPN
ejpam-173	143	3	k−1	k−1	PROPN
ejpam-173	143	4	g(r	g(r	PROPN
ejpam-173	143	5	cosθ	cosθ	PROPN
ejpam-173	143	6	,	,	PUNCT
ejpam-173	143	7	r	r	PROPN
ejpam-173	143	8	sinθ)rd	sinθ)rd	X
ejpam-173	144	1	rdθ	rdθ	INTJ
ejpam-173	144	2	+	+	CCONJ
ejpam-173	145	1	n	n	CCONJ
ejpam-173	145	2	∑	∑	ADV
ejpam-173	145	3	k=1	k=1	ADJ
ejpam-173	145	4	a4	a4	PROPN
ejpam-173	145	5	∫	∫	PROPN
ejpam-173	145	6	a4−a3	a4−a3	PROPN
ejpam-173	145	7	θ	θ	PROPN
ejpam-173	145	8	k	k	NOUN
ejpam-173	146	1	∫	∫	PROPN
ejpam-173	146	2	θ	θ	PROPN
ejpam-173	146	3	k−1	k−1	PROPN
ejpam-173	146	4	g(r	g(r	PROPN
ejpam-173	146	5	cosθ	cosθ	PROPN
ejpam-173	146	6	,	,	PUNCT
ejpam-173	146	7	r	r	PROPN
ejpam-173	146	8	sinθ)rd	sinθ)rd	X
ejpam-173	147	1	rdθ	rdθ	INTJ
ejpam-173	148	1	+	+	CCONJ
ejpam-173	148	2	...	...	PUNCT
ejpam-173	149	1			PROPN
ejpam-173	149	2			PROPN
ejpam-173	149	3			PROPN
ejpam-173	149	4			PROPN
ejpam-173	149	5			PROPN
ejpam-173	149	6			PROPN
ejpam-173	149	7			PROPN
ejpam-173	149	8			PROPN
ejpam-173	149	9			PROPN
ejpam-173	149	10			PROPN
ejpam-173	149	11			PROPN
ejpam-173	149	12			PROPN
ejpam-173	149	13			PROPN
ejpam-173	149	14			PROPN
ejpam-173	149	15			PROPN
ejpam-173	149	16			PROPN
ejpam-173	149	17			PROPN
ejpam-173	149	18			PROPN
ejpam-173	149	19	+	+	PROPN
ejpam-173	149	20	�	�	NOUN
ejpam-173	149	21	4a3	4a3	NUM
ejpam-173	149	22	+	+	NOUN
ejpam-173	149	23	2π	2π	PROPN
ejpam-173	149	24	ω3	ω3	PROPN
ejpam-173	149	25	�	�	PROPN
ejpam-173	149	26			PROPN
ejpam-173	149	27			ADJ
ejpam-173	149	28			ADJ
ejpam-173	149	29			ADJ
ejpam-173	149	30			ADJ
ejpam-173	149	31			ADJ
ejpam-173	149	32			ADJ
ejpam-173	149	33			ADJ
ejpam-173	149	34			ADJ
ejpam-173	149	35			ADJ
ejpam-173	149	36			NOUN
ejpam-173	149	37	n	n	CCONJ
ejpam-173	149	38	∑	∑	PUNCT
ejpam-173	149	39	k=1	k=1	PROPN
ejpam-173	149	40	a3	a3	PROPN
ejpam-173	149	41	∫	∫	PROPN
ejpam-173	149	42	a3−a2	a3−a2	PROPN
ejpam-173	150	1	θ	θ	PROPN
ejpam-173	150	2	k	k	X
ejpam-173	151	1	∫	∫	PROPN
ejpam-173	151	2	θ	θ	PROPN
ejpam-173	151	3	k−1	k−1	PROPN
ejpam-173	151	4	g(r	g(r	PROPN
ejpam-173	151	5	cosθ	cosθ	PROPN
ejpam-173	151	6	,	,	PUNCT
ejpam-173	151	7	r	r	PROPN
ejpam-173	151	8	sinθ)rd	sinθ)rd	X
ejpam-173	152	1	rdθ	rdθ	INTJ
ejpam-173	152	2	+	+	CCONJ
ejpam-173	153	1	n	n	CCONJ
ejpam-173	153	2	∑	∑	ADV
ejpam-173	153	3	k=1	k=1	ADJ
ejpam-173	153	4	a4	a4	PROPN
ejpam-173	153	5	∫	∫	PROPN
ejpam-173	153	6	a4−a3	a4−a3	PROPN
ejpam-173	153	7	θ	θ	PROPN
ejpam-173	153	8	k	k	NOUN
ejpam-173	154	1	∫	∫	PROPN
ejpam-173	154	2	θ	θ	PROPN
ejpam-173	154	3	k−1	k−1	PROPN
ejpam-173	154	4	g(r	g(r	PROPN
ejpam-173	154	5	cosθ	cosθ	PROPN
ejpam-173	154	6	,	,	PUNCT
ejpam-173	154	7	r	r	PROPN
ejpam-173	154	8	sinθ)rd	sinθ)rd	X
ejpam-173	155	1	rdθ	rdθ	INTJ
ejpam-173	156	1	+	+	CCONJ
ejpam-173	156	2	...	...	PUNCT
ejpam-173	157	1			PROPN
ejpam-173	157	2			PROPN
ejpam-173	157	3			PROPN
ejpam-173	157	4			PROPN
ejpam-173	157	5			PROPN
ejpam-173	157	6			PROPN
ejpam-173	157	7			PROPN
ejpam-173	157	8			PROPN
ejpam-173	157	9			PROPN
ejpam-173	157	10			PROPN
ejpam-173	157	11			PROPN
ejpam-173	157	12	+	+	PROPN
ejpam-173	157	13	...	...	PUNCT
ejpam-173	157	14	=	=	SYM
ejpam-173	157	15	�	�	PROPN
ejpam-173	157	16	4a1	4a1	NUM
ejpam-173	157	17	+	+	CCONJ
ejpam-173	157	18	2π	2π	PROPN
ejpam-173	157	19	ω1	ω1	PROPN
ejpam-173	157	20	�	�	PROPN
ejpam-173	157	21			PROPN
ejpam-173	157	22			ADJ
ejpam-173	157	23			ADJ
ejpam-173	157	24			NOUN
ejpam-173	157	25	n	n	CCONJ
ejpam-173	157	26	∑	∑	PUNCT
ejpam-173	157	27	k=1	k=1	ADP
ejpam-173	157	28	a1	a1	PROPN
ejpam-173	157	29	∫	∫	PROPN
ejpam-173	157	30	0	0	NUM
ejpam-173	158	1	θ	θ	PROPN
ejpam-173	158	2	k	k	NOUN
ejpam-173	159	1	∫	∫	PROPN
ejpam-173	159	2	θ	θ	PROPN
ejpam-173	159	3	k−1	k−1	PROPN
ejpam-173	159	4	g(r	g(r	PROPN
ejpam-173	159	5	cosθ	cosθ	PROPN
ejpam-173	159	6	,	,	PUNCT
ejpam-173	159	7	r	r	PROPN
ejpam-173	159	8	sinθ	sinθ	PROPN
ejpam-173	159	9	)	)	PUNCT
ejpam-173	159	10	rd	rd	PROPN
ejpam-173	159	11	rdθ	rdθ	VERB
ejpam-173	159	12			PROPN
ejpam-173	159	13			PROPN
ejpam-173	159	14			PROPN
ejpam-173	159	15			PROPN
ejpam-173	159	16	a.	a.	NOUN
ejpam-173	159	17	el	el	PROPN
ejpam-173	159	18	-	-	PUNCT
ejpam-173	159	19	moneim	moneim	PROPN
ejpam-173	159	20	,	,	PUNCT
ejpam-173	159	21	h.	h.	PROPN
ejpam-173	159	22	gabal	gabal	PROPN
ejpam-173	159	23	,	,	PUNCT
ejpam-173	159	24	and	and	CCONJ
ejpam-173	159	25	m.	m.	PROPN
ejpam-173	159	26	el	el	PROPN
ejpam-173	159	27	-	-	PUNCT
ejpam-173	159	28	hadidy	hadidy	ADJ
ejpam-173	159	29	/	/	SYM
ejpam-173	159	30	eur	eur	NOUN
ejpam-173	159	31	.	.	PUNCT
ejpam-173	160	1	j.	j.	PROPN
ejpam-173	160	2	pure	pure	PROPN
ejpam-173	160	3	appl	appl	PROPN
ejpam-173	160	4	.	.	PROPN
ejpam-173	160	5	math	math	PROPN
ejpam-173	160	6	,	,	PUNCT
ejpam-173	160	7	2	2	NUM
ejpam-173	160	8	(	(	PUNCT
ejpam-173	160	9	2009	2009	NUM
ejpam-173	160	10	)	)	PUNCT
ejpam-173	160	11	,	,	PUNCT
ejpam-173	160	12	(	(	PUNCT
ejpam-173	160	13	97	97	NUM
ejpam-173	160	14	-	-	SYM
ejpam-173	160	15	111	111	NUM
ejpam-173	160	16	)	)	PUNCT
ejpam-173	160	17	105	105	NUM
ejpam-173	161	1	+	+	CCONJ
ejpam-173	161	2	∞	∞	NUM
ejpam-173	161	3	∑	∑	PUNCT
ejpam-173	161	4	i=2	i=2	PROPN
ejpam-173	161	5			NOUN
ejpam-173	161	6			ADJ
ejpam-173	161	7			ADJ
ejpam-173	161	8			ADJ
ejpam-173	161	9			ADJ
ejpam-173	161	10			ADJ
ejpam-173	161	11			ADJ
ejpam-173	161	12			ADJ
ejpam-173	161	13			ADJ
ejpam-173	161	14			ADJ
ejpam-173	161	15			NUM
ejpam-173	161	16	�	�	PROPN
ejpam-173	161	17	4a1	4a1	NUM
ejpam-173	161	18	+	+	PROPN
ejpam-173	161	19	2π	2π	PROPN
ejpam-173	161	20	ω1	ω1	PROPN
ejpam-173	161	21	�	�	PROPN
ejpam-173	161	22	n	n	ADP
ejpam-173	161	23	∑	∑	PROPN
ejpam-173	161	24	k=1	k=1	PROPN
ejpam-173	161	25	ai	ai	VERB
ejpam-173	161	26	∫	∫	PROPN
ejpam-173	161	27	ai−ai−1	ai−ai−1	PROPN
ejpam-173	162	1	θ	θ	PROPN
ejpam-173	162	2	k	k	PROPN
ejpam-173	163	1	∫	∫	PROPN
ejpam-173	163	2	θ	θ	PROPN
ejpam-173	163	3	k−1	k−1	PROPN
ejpam-173	163	4	g(r	g(r	PROPN
ejpam-173	163	5	cosθ	cosθ	PROPN
ejpam-173	163	6	,	,	PUNCT
ejpam-173	163	7	r	r	PROPN
ejpam-173	163	8	sinθ)rd	sinθ)rd	X
ejpam-173	164	1	rdθ	rdθ	VERB
ejpam-173	164	2	+	+	CCONJ
ejpam-173	164	3	�	�	PROPN
ejpam-173	164	4	4ai	4ai	NOUN
ejpam-173	165	1	+	+	CCONJ
ejpam-173	165	2	2π	2π	NOUN
ejpam-173	165	3	ωi	ωi	PUNCT
ejpam-173	165	4	�	�	PROPN
ejpam-173	165	5	∞	∞	PROPN
ejpam-173	165	6	∑	∑	PROPN
ejpam-173	165	7	s	s	PROPN
ejpam-173	165	8	=	=	PROPN
ejpam-173	165	9	i	i	PROPN
ejpam-173	165	10	n	n	NOUN
ejpam-173	165	11	∑	∑	PUNCT
ejpam-173	165	12	k=1	k=1	PROPN
ejpam-173	165	13	as	as	ADP
ejpam-173	165	14	∫	∫	PROPN
ejpam-173	165	15	as−as−1	as−as−1	PROPN
ejpam-173	165	16	θ	θ	PROPN
ejpam-173	166	1	k	k	PROPN
ejpam-173	166	2	∫	∫	PROPN
ejpam-173	166	3	θ	θ	PROPN
ejpam-173	166	4	k−1	k−1	PROPN
ejpam-173	167	1	g(r	g(r	PROPN
ejpam-173	167	2	cosθ	cosθ	PROPN
ejpam-173	167	3	,	,	PUNCT
ejpam-173	167	4	r	r	PROPN
ejpam-173	167	5	sinθ	sinθ	PROPN
ejpam-173	167	6	)	)	PUNCT
ejpam-173	167	7	rd	rd	PROPN
ejpam-173	167	8	rdθ	rdθ	VERB
ejpam-173	167	9			PROPN
ejpam-173	167	10			PROPN
ejpam-173	167	11			PROPN
ejpam-173	167	12			PROPN
ejpam-173	167	13			PROPN
ejpam-173	167	14			PROPN
ejpam-173	167	15			PROPN
ejpam-173	167	16			PROPN
ejpam-173	167	17			PROPN
ejpam-173	167	18			PROPN
ejpam-173	167	19			PROPN
ejpam-173	167	20	.	.	PUNCT
ejpam-173	168	1	3	3	X
ejpam-173	168	2	.	.	X
ejpam-173	168	3	optimal	optimal	ADJ
ejpam-173	168	4	search	search	NOUN
ejpam-173	168	5	plan	plan	NOUN
ejpam-173	168	6	definition	definition	NOUN
ejpam-173	168	7	3.1	3.1	NUM
ejpam-173	168	8	.	.	PUNCT
ejpam-173	169	1	let	let	VERB
ejpam-173	169	2	φ∗	φ∗	NOUN
ejpam-173	169	3	∈	∈	PROPN
ejpam-173	169	4	φ	φ	PROPN
ejpam-173	169	5	be	be	VERB
ejpam-173	169	6	a	a	DET
ejpam-173	169	7	search	search	NOUN
ejpam-173	169	8	plan	plan	NOUN
ejpam-173	169	9	,	,	PUNCT
ejpam-173	169	10	then	then	ADV
ejpam-173	169	11	φ∗	φ∗	NOUN
ejpam-173	169	12	is	be	AUX
ejpam-173	169	13	an	an	DET
ejpam-173	169	14	optimal	optimal	ADJ
ejpam-173	169	15	search	search	NOUN
ejpam-173	169	16	plan	plan	NOUN
ejpam-173	169	17	,	,	PUNCT
ejpam-173	169	18	if	if	SCONJ
ejpam-173	169	19	e(t(φ∗	e(t(φ∗	NOUN
ejpam-173	169	20	)	)	PUNCT
ejpam-173	169	21	)	)	PUNCT
ejpam-173	170	1	=	=	SYM
ejpam-173	170	2	inf	inf	PROPN
ejpam-173	170	3	�	�	PROPN
ejpam-173	170	4	e(t(φ)),φ	e(t(φ)),φ	PROPN
ejpam-173	170	5	∈	∈	PROPN
ejpam-173	170	6	φ	φ	NOUN
ejpam-173	170	7	.	.	PUNCT
ejpam-173	171	1	the	the	DET
ejpam-173	171	2	goal	goal	NOUN
ejpam-173	171	3	of	of	ADP
ejpam-173	171	4	the	the	DET
ejpam-173	171	5	searching	searching	NOUN
ejpam-173	171	6	strategy	strategy	NOUN
ejpam-173	171	7	could	could	AUX
ejpam-173	171	8	be	be	AUX
ejpam-173	171	9	minimize	minimize	VERB
ejpam-173	171	10	the	the	DET
ejpam-173	171	11	expected	expect	VERB
ejpam-173	171	12	time	time	NOUN
ejpam-173	171	13	to	to	PART
ejpam-173	171	14	detect	detect	VERB
ejpam-173	171	15	the	the	DET
ejpam-173	171	16	target	target	NOUN
ejpam-173	171	17	of	of	ADP
ejpam-173	171	18	circular	circular	ADJ
ejpam-173	171	19	normal	normal	ADJ
ejpam-173	171	20	distributon	distributon	NOUN
ejpam-173	171	21	by	by	ADP
ejpam-173	171	22	minimizing	minimize	VERB
ejpam-173	171	23	the	the	DET
ejpam-173	171	24	mean	mean	ADJ
ejpam-173	171	25	time	time	NOUN
ejpam-173	171	26	to	to	ADP
ejpam-173	171	27	detection	detection	NOUN
ejpam-173	171	28	with	with	ADP
ejpam-173	171	29	respect	respect	NOUN
ejpam-173	171	30	to	to	ADP
ejpam-173	171	31	determining	determine	VERB
ejpam-173	171	32	the	the	DET
ejpam-173	171	33	optimal	optimal	ADJ
ejpam-173	171	34	redius	redius	ADJ
ejpam-173	171	35	ai	ai	NOUN
ejpam-173	171	36	,	,	PUNCT
ejpam-173	171	37	i	i	NOUN
ejpam-173	171	38	=	=	SYM
ejpam-173	171	39	1,2	1,2	NUM
ejpam-173	171	40	,	,	PUNCT
ejpam-173	171	41	...	...	PUNCT
ejpam-173	171	42	which	which	PRON
ejpam-173	171	43	make	make	VERB
ejpam-173	171	44	us	we	PRON
ejpam-173	171	45	to	to	PART
ejpam-173	171	46	cover	cover	VERB
ejpam-173	171	47	all	all	DET
ejpam-173	171	48	area	area	NOUN
ejpam-173	171	49	.	.	PUNCT
ejpam-173	172	1	if	if	SCONJ
ejpam-173	172	2	the	the	DET
ejpam-173	172	3	target	target	NOUN
ejpam-173	172	4	has	have	VERB
ejpam-173	172	5	a	a	DET
ejpam-173	172	6	bivariate	bivariate	ADJ
ejpam-173	172	7	normal	normal	ADJ
ejpam-173	172	8	distribution	distribution	NOUN
ejpam-173	172	9	with	with	ADP
ejpam-173	172	10	parameters	parameter	NOUN
ejpam-173	172	11	σ1	σ1	PROPN
ejpam-173	172	12	and	and	CCONJ
ejpam-173	172	13	σ2	σ2	PROPN
ejpam-173	172	14	.	.	PUNCT
ejpam-173	173	1	and	and	CCONJ
ejpam-173	173	2	since	since	SCONJ
ejpam-173	173	3	we	we	PRON
ejpam-173	173	4	consider	consider	VERB
ejpam-173	173	5	the	the	DET
ejpam-173	173	6	surface	surface	NOUN
ejpam-173	173	7	of	of	ADP
ejpam-173	173	8	the	the	DET
ejpam-173	173	9	region	region	NOUN
ejpam-173	173	10	be	be	AUX
ejpam-173	173	11	a	a	DET
ejpam-173	173	12	standard	standard	ADJ
ejpam-173	173	13	eculidean	eculidean	ADJ
ejpam-173	173	14	2−space	2−space	NUM
ejpam-173	173	15	e	e	NOUN
ejpam-173	173	16	,	,	PUNCT
ejpam-173	173	17	with	with	ADP
ejpam-173	173	18	points	point	NOUN
ejpam-173	173	19	designated	designate	VERB
ejpam-173	173	20	by	by	ADP
ejpam-173	173	21	ordered	order	VERB
ejpam-173	173	22	pairs	pair	NOUN
ejpam-173	173	23	(	(	PUNCT
ejpam-173	173	24	x	x	NOUN
ejpam-173	173	25	,	,	PUNCT
ejpam-173	173	26	y	y	PROPN
ejpam-173	173	27	)	)	PUNCT
ejpam-173	173	28	.	.	PUNCT
ejpam-173	174	1	this	this	PRON
ejpam-173	174	2	is	be	AUX
ejpam-173	174	3	a	a	DET
ejpam-173	174	4	reasonable	reasonable	ADJ
ejpam-173	174	5	assumption	assumption	NOUN
ejpam-173	174	6	for	for	ADP
ejpam-173	174	7	small	small	ADJ
ejpam-173	174	8	areas	area	NOUN
ejpam-173	174	9	about	about	ADP
ejpam-173	174	10	the	the	DET
ejpam-173	174	11	target	target	NOUN
ejpam-173	174	12	’s	’s	PART
ejpam-173	174	13	reported	report	VERB
ejpam-173	174	14	position	position	NOUN
ejpam-173	174	15	.	.	PUNCT
ejpam-173	175	1	in	in	ADP
ejpam-173	175	2	this	this	DET
ejpam-173	175	3	coordinate	coordinate	NOUN
ejpam-173	175	4	system	system	NOUN
ejpam-173	175	5	,	,	PUNCT
ejpam-173	175	6	the	the	DET
ejpam-173	175	7	target	target	NOUN
ejpam-173	175	8	’s	’s	PART
ejpam-173	175	9	reported	report	VERB
ejpam-173	175	10	position	position	NOUN
ejpam-173	175	11	is	be	AUX
ejpam-173	175	12	(	(	PUNCT
ejpam-173	175	13	0,0	0,0	NOUN
ejpam-173	175	14	)	)	PUNCT
ejpam-173	175	15	.	.	PUNCT
ejpam-173	176	1	let	let	VERB
ejpam-173	176	2	(	(	PUNCT
ejpam-173	176	3	x	x	X
ejpam-173	176	4	,	,	PUNCT
ejpam-173	176	5	y	y	PROPN
ejpam-173	176	6	)	)	PUNCT
ejpam-173	176	7	give	give	VERB
ejpam-173	176	8	the	the	DET
ejpam-173	176	9	target	target	NOUN
ejpam-173	176	10	’s	’s	PART
ejpam-173	176	11	actual	actual	ADJ
ejpam-173	176	12	position	position	NOUN
ejpam-173	176	13	.	.	PUNCT
ejpam-173	177	1	then	then	ADV
ejpam-173	177	2	x	x	PRON
ejpam-173	177	3	is	be	AUX
ejpam-173	177	4	normally	normally	ADV
ejpam-173	177	5	distributed	distribute	VERB
ejpam-173	177	6	with	with	ADP
ejpam-173	177	7	mean	mean	PROPN
ejpam-173	177	8	0	0	NUM
ejpam-173	177	9	and	and	CCONJ
ejpam-173	177	10	standard	standard	ADJ
ejpam-173	177	11	deviation	deviation	NOUN
ejpam-173	177	12	σ1	σ1	NOUN
ejpam-173	177	13	.	.	PUNCT
ejpam-173	178	1	in	in	ADP
ejpam-173	178	2	addition	addition	NOUN
ejpam-173	178	3	,	,	PUNCT
ejpam-173	178	4	x	x	PRON
ejpam-173	178	5	is	be	AUX
ejpam-173	178	6	independent	independent	ADJ
ejpam-173	178	7	of	of	ADP
ejpam-173	178	8	y	y	PROPN
ejpam-173	178	9	,	,	PUNCT
ejpam-173	178	10	which	which	PRON
ejpam-173	178	11	is	be	AUX
ejpam-173	178	12	normally	normally	ADV
ejpam-173	178	13	distributed	distribute	VERB
ejpam-173	178	14	with	with	ADP
ejpam-173	178	15	mean	mean	PROPN
ejpam-173	178	16	0	0	NUM
ejpam-173	178	17	and	and	CCONJ
ejpam-173	178	18	standard	standard	ADJ
ejpam-173	178	19	deviation	deviation	NOUN
ejpam-173	178	20	σ2	σ2	NOUN
ejpam-173	178	21	.	.	PUNCT
ejpam-173	179	1	let	let	VERB
ejpam-173	179	2	f	f	PROPN
ejpam-173	179	3	(	(	PUNCT
ejpam-173	179	4	x	x	PROPN
ejpam-173	179	5	,	,	PUNCT
ejpam-173	179	6	y	y	PROPN
ejpam-173	179	7	)	)	PUNCT
ejpam-173	179	8	=	=	SYM
ejpam-173	179	9	1	1	NUM
ejpam-173	179	10	2πσ1σ2	2πσ1σ2	NUM
ejpam-173	179	11	exp	exp	NOUN
ejpam-173	179	12	�	�	PROPN
ejpam-173	179	13	−1	−1	NOUN
ejpam-173	179	14	2	2	NUM
ejpam-173	179	15	�	�	PROPN
ejpam-173	179	16	x2	x2	PROPN
ejpam-173	179	17	σ2	σ2	PROPN
ejpam-173	179	18	1	1	NUM
ejpam-173	179	19	+	+	NUM
ejpam-173	179	20	y2	y2	PROPN
ejpam-173	179	21	σ2	σ2	PROPN
ejpam-173	179	22	2	2	NUM
ejpam-173	179	23	�	�	PROPN
ejpam-173	179	24	�	�	PROPN
ejpam-173	179	25	for	for	ADP
ejpam-173	179	26	(	(	PUNCT
ejpam-173	179	27	x	x	INTJ
ejpam-173	179	28	,	,	PUNCT
ejpam-173	179	29	y	y	PROPN
ejpam-173	179	30	)	)	PUNCT
ejpam-173	179	31	∈	∈	PROPN
ejpam-173	179	32	e	e	X
ejpam-173	179	33	.	.	PUNCT
ejpam-173	180	1	(	(	PUNCT
ejpam-173	180	2	2	2	X
ejpam-173	180	3	)	)	PUNCT
ejpam-173	180	4	the	the	DET
ejpam-173	180	5	function	function	NOUN
ejpam-173	180	6	f	f	PROPN
ejpam-173	180	7	is	be	AUX
ejpam-173	180	8	the	the	DET
ejpam-173	180	9	probability	probability	NOUN
ejpam-173	180	10	density	density	NOUN
ejpam-173	180	11	function	function	NOUN
ejpam-173	180	12	of	of	ADP
ejpam-173	180	13	the	the	DET
ejpam-173	180	14	bivariate	bivariate	ADJ
ejpam-173	180	15	normal	normal	ADJ
ejpam-173	180	16	distribution	distribution	NOUN
ejpam-173	180	17	.	.	PUNCT
ejpam-173	181	1	thus	thus	ADV
ejpam-173	181	2	the	the	DET
ejpam-173	181	3	distribution	distribution	NOUN
ejpam-173	181	4	of	of	ADP
ejpam-173	181	5	error	error	NOUN
ejpam-173	181	6	in	in	ADP
ejpam-173	181	7	the	the	DET
ejpam-173	181	8	navigation	navigation	NOUN
ejpam-173	181	9	system	system	NOUN
ejpam-173	181	10	yields	yield	VERB
ejpam-173	181	11	f	f	PROPN
ejpam-173	181	12	as	as	SCONJ
ejpam-173	181	13	given	give	VERB
ejpam-173	181	14	in	in	ADP
ejpam-173	181	15	(	(	PUNCT
ejpam-173	181	16	2	2	NUM
ejpam-173	181	17	)	)	PUNCT
ejpam-173	181	18	for	for	ADP
ejpam-173	181	19	the	the	DET
ejpam-173	181	20	density	density	NOUN
ejpam-173	181	21	of	of	ADP
ejpam-173	181	22	the	the	DET
ejpam-173	181	23	target	target	NOUN
ejpam-173	181	24	distribution	distribution	NOUN
ejpam-173	181	25	.	.	PUNCT
ejpam-173	182	1	if	if	SCONJ
ejpam-173	182	2	σ1	σ1	PROPN
ejpam-173	182	3	=	=	PROPN
ejpam-173	182	4	σ2	σ2	PROPN
ejpam-173	182	5	=	=	PROPN
ejpam-173	182	6	σ	σ	PROPN
ejpam-173	182	7	then	then	ADV
ejpam-173	182	8	(	(	PUNCT
ejpam-173	182	9	2	2	X
ejpam-173	182	10	)	)	PUNCT
ejpam-173	182	11	becomes	become	VERB
ejpam-173	182	12	f	f	PROPN
ejpam-173	182	13	(	(	PUNCT
ejpam-173	182	14	x	x	INTJ
ejpam-173	182	15	,	,	PUNCT
ejpam-173	182	16	y	y	PROPN
ejpam-173	182	17	)	)	PUNCT
ejpam-173	182	18	=	=	SYM
ejpam-173	183	1	1	1	NUM
ejpam-173	183	2	2πσ2	2πσ2	NUM
ejpam-173	183	3	exp[−(x2	exp[−(x2	NOUN
ejpam-173	183	4	+	+	X
ejpam-173	183	5	y2)/2σ2	y2)/2σ2	NOUN
ejpam-173	183	6	]	]	X
ejpam-173	183	7	for	for	ADP
ejpam-173	183	8	(	(	PUNCT
ejpam-173	183	9	x	x	INTJ
ejpam-173	183	10	,	,	PUNCT
ejpam-173	183	11	y	y	PROPN
ejpam-173	183	12	)	)	PUNCT
ejpam-173	183	13	∈	∈	PROPN
ejpam-173	183	14	e	e	X
ejpam-173	183	15	.	.	PUNCT
ejpam-173	184	1	(	(	PUNCT
ejpam-173	184	2	3	3	X
ejpam-173	184	3	)	)	PUNCT
ejpam-173	184	4	and	and	CCONJ
ejpam-173	184	5	the	the	DET
ejpam-173	184	6	target	target	NOUN
ejpam-173	184	7	distribution	distribution	NOUN
ejpam-173	184	8	is	be	AUX
ejpam-173	184	9	called	call	VERB
ejpam-173	184	10	circular	circular	ADJ
ejpam-173	184	11	normal	normal	ADJ
ejpam-173	184	12	.	.	PUNCT
ejpam-173	185	1	theorem	theorem	VERB
ejpam-173	185	2	3.1	3.1	NUM
ejpam-173	185	3	.	.	PUNCT
ejpam-173	186	1	let	let	AUX
ejpam-173	186	2	(	(	PUNCT
ejpam-173	186	3	x	x	X
ejpam-173	186	4	,	,	PUNCT
ejpam-173	186	5	y	y	PROPN
ejpam-173	186	6	)	)	PUNCT
ejpam-173	186	7	be	be	AUX
ejpam-173	186	8	two	two	NUM
ejpam-173	186	9	independent	independent	ADJ
ejpam-173	186	10	random	random	ADJ
ejpam-173	186	11	variables	variable	NOUN
ejpam-173	186	12	have	have	VERB
ejpam-173	186	13	circular	circular	ADJ
ejpam-173	186	14	normal	normal	ADJ
ejpam-173	186	15	distribution	distribution	NOUN
ejpam-173	186	16	with	with	ADP
ejpam-173	186	17	joint	joint	ADJ
ejpam-173	186	18	continuous	continuous	ADJ
ejpam-173	186	19	distribution	distribution	NOUN
ejpam-173	186	20	function	function	NOUN
ejpam-173	186	21	f(x	f(x	PROPN
ejpam-173	186	22	,	,	PUNCT
ejpam-173	186	23	y	y	PROPN
ejpam-173	186	24	)	)	PUNCT
ejpam-173	186	25	and	and	CCONJ
ejpam-173	186	26	joint	joint	ADJ
ejpam-173	186	27	density	density	NOUN
ejpam-173	186	28	function	function	NOUN
ejpam-173	187	1	f	f	PROPN
ejpam-173	187	2	(	(	PUNCT
ejpam-173	187	3	x	x	INTJ
ejpam-173	187	4	,	,	PUNCT
ejpam-173	187	5	y	y	PROPN
ejpam-173	187	6	)	)	PUNCT
ejpam-173	187	7	as	as	ADP
ejpam-173	187	8	in	in	ADP
ejpam-173	187	9	(	(	PUNCT
ejpam-173	187	10	3	3	NUM
ejpam-173	187	11	)	)	PUNCT
ejpam-173	187	12	.	.	PUNCT
ejpam-173	188	1	if	if	SCONJ
ejpam-173	188	2	φ	φ	PROPN
ejpam-173	188	3	is	be	AUX
ejpam-173	188	4	an	an	DET
ejpam-173	188	5	optimal	optimal	ADJ
ejpam-173	188	6	search	search	NOUN
ejpam-173	188	7	plan	plan	NOUN
ejpam-173	188	8	,	,	PUNCT
ejpam-173	188	9	and	and	CCONJ
ejpam-173	188	10	with	with	ADP
ejpam-173	188	11	knowing	know	VERB
ejpam-173	188	12	the	the	DET
ejpam-173	188	13	value	value	NOUN
ejpam-173	188	14	of	of	ADP
ejpam-173	188	15	a1we	a1we	PUNCT
ejpam-173	188	16	can	can	AUX
ejpam-173	188	17	get	get	VERB
ejpam-173	188	18	:	:	PUNCT
ejpam-173	188	19	a.	a.	PROPN
ejpam-173	188	20	el	el	PROPN
ejpam-173	188	21	-	-	PUNCT
ejpam-173	188	22	moneim	moneim	PROPN
ejpam-173	188	23	,	,	PUNCT
ejpam-173	188	24	h.	h.	PROPN
ejpam-173	188	25	gabal	gabal	PROPN
ejpam-173	188	26	,	,	PUNCT
ejpam-173	188	27	and	and	CCONJ
ejpam-173	188	28	m.	m.	PROPN
ejpam-173	188	29	el	el	PROPN
ejpam-173	188	30	-	-	PUNCT
ejpam-173	188	31	hadidy	hadidy	ADJ
ejpam-173	188	32	/	/	SYM
ejpam-173	188	33	eur	eur	NOUN
ejpam-173	188	34	.	.	PUNCT
ejpam-173	189	1	j.	j.	PROPN
ejpam-173	189	2	pure	pure	PROPN
ejpam-173	189	3	appl	appl	PROPN
ejpam-173	189	4	.	.	PROPN
ejpam-173	189	5	math	math	PROPN
ejpam-173	189	6	,	,	PUNCT
ejpam-173	189	7	2	2	NUM
ejpam-173	189	8	(	(	PUNCT
ejpam-173	189	9	2009	2009	NUM
ejpam-173	189	10	)	)	PUNCT
ejpam-173	189	11	,	,	PUNCT
ejpam-173	189	12	(	(	PUNCT
ejpam-173	189	13	97	97	NUM
ejpam-173	189	14	-	-	SYM
ejpam-173	189	15	111	111	NUM
ejpam-173	189	16	)	)	PUNCT
ejpam-173	189	17	106	106	NUM
ejpam-173	189	18			PROPN
ejpam-173	189	19			NOUN
ejpam-173	189	20			PROPN
ejpam-173	189	21			NOUN
ejpam-173	189	22			PROPN
ejpam-173	189	23			PROPN
ejpam-173	189	24			PROPN
ejpam-173	189	25	a2	a2	PROPN
ejpam-173	189	26	from	from	ADP
ejpam-173	189	27	a1	a1	PROPN
ejpam-173	189	28	exp	exp	NOUN
ejpam-173	189	29	�	�	PROPN
ejpam-173	189	30	−a2	−a2	PROPN
ejpam-173	189	31	1	1	NUM
ejpam-173	189	32	2σ2	2σ2	NUM
ejpam-173	189	33	�	�	PROPN
ejpam-173	189	34	=	=	SYM
ejpam-173	189	35	(	(	PUNCT
ejpam-173	189	36	a2	a2	PROPN
ejpam-173	189	37	−	−	PROPN
ejpam-173	189	38	a1)exp	a1)exp	PROPN
ejpam-173	189	39	�	�	PROPN
ejpam-173	189	40	−(a2−a1	−(a2−a1	ADV
ejpam-173	189	41	)	)	PUNCT
ejpam-173	189	42	2	2	NUM
ejpam-173	189	43	2σ2	2σ2	NUM
ejpam-173	189	44	�	�	PROPN
ejpam-173	189	45	ai	ai	VERB
ejpam-173	189	46	from	from	ADP
ejpam-173	189	47	ai	ai	INTJ
ejpam-173	189	48	exp	exp	NOUN
ejpam-173	190	1	�	�	PROPN
ejpam-173	190	2	−a2	−a2	NOUN
ejpam-173	191	1	i	i	PROPN
ejpam-173	191	2	2σ2	2σ2	NUM
ejpam-173	191	3	�	�	PROPN
ejpam-173	191	4	=	=	SYM
ejpam-173	191	5	(	(	PUNCT
ejpam-173	191	6	ai	ai	VERB
ejpam-173	191	7	−	−	PROPN
ejpam-173	192	1	ai−1)exp	ai−1)exp	PROPN
ejpam-173	192	2	(	(	PUNCT
ejpam-173	192	3	−(ai−ai−1	−(ai−ai−1	NOUN
ejpam-173	192	4	)	)	PUNCT
ejpam-173	192	5	2	2	NUM
ejpam-173	192	6	2σ2	2σ2	NUM
ejpam-173	192	7	)	)	PUNCT
ejpam-173	193	1	+	+	PUNCT
ejpam-173	193	2	(	(	PUNCT
ejpam-173	193	3	ai+1	ai+1	NUM
ejpam-173	193	4	−	−	PROPN
ejpam-173	193	5	ai)exp	ai)exp	PROPN
ejpam-173	193	6	(	(	PUNCT
ejpam-173	193	7	−(ai+1−ai	−(ai+1−ai	NOUN
ejpam-173	193	8	)	)	PUNCT
ejpam-173	193	9	2	2	NUM
ejpam-173	193	10	2σ2	2σ2	NUM
ejpam-173	193	11	)	)	PUNCT
ejpam-173	193	12	,	,	PUNCT
ejpam-173	193	13	i	i	PRON
ejpam-173	193	14	=	=	NOUN
ejpam-173	193	15	3,4	3,4	NUM
ejpam-173	193	16	,	,	PUNCT
ejpam-173	193	17	...	...	PUNCT
ejpam-173	193	18	(	(	PUNCT
ejpam-173	193	19	4	4	X
ejpam-173	193	20	)	)	PUNCT
ejpam-173	193	21	proof	proof	NOUN
ejpam-173	193	22	.	.	PUNCT
ejpam-173	194	1	from	from	ADP
ejpam-173	194	2	(	(	PUNCT
ejpam-173	194	3	1	1	X
ejpam-173	194	4	)	)	PUNCT
ejpam-173	194	5	we	we	PRON
ejpam-173	194	6	get	get	VERB
ejpam-173	194	7	:	:	PUNCT
ejpam-173	194	8	e(t(φ	e(t(φ	PROPN
ejpam-173	194	9	)	)	PUNCT
ejpam-173	194	10	)	)	PUNCT
ejpam-173	194	11	=	=	PUNCT
ejpam-173	194	12	�	�	PROPN
ejpam-173	194	13	4a1	4a1	NUM
ejpam-173	194	14	+	+	CCONJ
ejpam-173	194	15	2π	2π	PROPN
ejpam-173	194	16	ω1	ω1	PROPN
ejpam-173	194	17	�	�	PROPN
ejpam-173	194	18			PROPN
ejpam-173	194	19			ADJ
ejpam-173	194	20			ADJ
ejpam-173	194	21			NOUN
ejpam-173	194	22	n	n	CCONJ
ejpam-173	194	23	∑	∑	PUNCT
ejpam-173	194	24	k=1	k=1	ADP
ejpam-173	194	25	a1	a1	PROPN
ejpam-173	194	26	∫	∫	PROPN
ejpam-173	194	27	0	0	NUM
ejpam-173	194	28	θ	θ	PROPN
ejpam-173	194	29	k	k	NOUN
ejpam-173	195	1	∫	∫	PROPN
ejpam-173	195	2	θ	θ	PROPN
ejpam-173	195	3	k−1	k−1	PROPN
ejpam-173	195	4	g(r	g(r	PROPN
ejpam-173	195	5	cosθ	cosθ	PROPN
ejpam-173	195	6	,	,	PUNCT
ejpam-173	195	7	r	r	PROPN
ejpam-173	195	8	sinθ)rd	sinθ)rd	PROPN
ejpam-173	195	9	rdθ	rdθ	VERB
ejpam-173	195	10			PROPN
ejpam-173	195	11			PROPN
ejpam-173	195	12			PROPN
ejpam-173	195	13			PROPN
ejpam-173	195	14	+	+	NUM
ejpam-173	195	15	∞	∞	NUM
ejpam-173	195	16	∑	∑	PUNCT
ejpam-173	195	17	i=2	i=2	PROPN
ejpam-173	195	18			NOUN
ejpam-173	195	19			ADJ
ejpam-173	195	20			ADJ
ejpam-173	195	21			ADJ
ejpam-173	195	22			ADJ
ejpam-173	195	23			ADJ
ejpam-173	195	24			ADJ
ejpam-173	195	25			ADJ
ejpam-173	195	26			ADJ
ejpam-173	195	27			ADJ
ejpam-173	195	28			NUM
ejpam-173	195	29	�	�	PROPN
ejpam-173	195	30	4a1	4a1	NUM
ejpam-173	195	31	+	+	PROPN
ejpam-173	195	32	2π	2π	PROPN
ejpam-173	195	33	ω1	ω1	PROPN
ejpam-173	195	34	�	�	PROPN
ejpam-173	195	35	n	n	ADP
ejpam-173	195	36	∑	∑	PROPN
ejpam-173	195	37	k=1	k=1	PROPN
ejpam-173	195	38	ai	ai	VERB
ejpam-173	195	39	∫	∫	PROPN
ejpam-173	195	40	ai−ai−1	ai−ai−1	PROPN
ejpam-173	196	1	θ	θ	PROPN
ejpam-173	197	1	k	k	PROPN
ejpam-173	198	1	∫	∫	PROPN
ejpam-173	198	2	θ	θ	PROPN
ejpam-173	198	3	k−1	k−1	PROPN
ejpam-173	198	4	g(r	g(r	PROPN
ejpam-173	198	5	cosθ	cosθ	PROPN
ejpam-173	198	6	,	,	PUNCT
ejpam-173	198	7	r	r	PROPN
ejpam-173	198	8	sinθ)rd	sinθ)rd	X
ejpam-173	199	1	rdθ	rdθ	VERB
ejpam-173	199	2	+	+	CCONJ
ejpam-173	199	3	�	�	PROPN
ejpam-173	199	4	4ai	4ai	NOUN
ejpam-173	200	1	+	+	CCONJ
ejpam-173	200	2	2π	2π	NOUN
ejpam-173	200	3	ωi	ωi	PUNCT
ejpam-173	200	4	�	�	PROPN
ejpam-173	200	5	∞	∞	PROPN
ejpam-173	200	6	∑	∑	PROPN
ejpam-173	200	7	s	s	PROPN
ejpam-173	200	8	=	=	PROPN
ejpam-173	200	9	i	i	PROPN
ejpam-173	200	10	n	n	NOUN
ejpam-173	200	11	∑	∑	PUNCT
ejpam-173	200	12	k=1	k=1	PROPN
ejpam-173	200	13	as	as	ADP
ejpam-173	200	14	∫	∫	PROPN
ejpam-173	200	15	as−as−1	as−as−1	PROPN
ejpam-173	200	16	θ	θ	PROPN
ejpam-173	201	1	k	k	PROPN
ejpam-173	201	2	∫	∫	PROPN
ejpam-173	201	3	θ	θ	PROPN
ejpam-173	201	4	k−1	k−1	PROPN
ejpam-173	202	1	g(r	g(r	PROPN
ejpam-173	202	2	cosθ	cosθ	PROPN
ejpam-173	202	3	,	,	PUNCT
ejpam-173	202	4	r	r	PROPN
ejpam-173	202	5	sinθ	sinθ	PROPN
ejpam-173	202	6	)	)	PUNCT
ejpam-173	202	7	rd	rd	PROPN
ejpam-173	202	8	rdθ	rdθ	VERB
ejpam-173	202	9			PROPN
ejpam-173	202	10			PROPN
ejpam-173	202	11			PROPN
ejpam-173	202	12			PROPN
ejpam-173	202	13			PROPN
ejpam-173	202	14			PROPN
ejpam-173	202	15			PROPN
ejpam-173	202	16			PROPN
ejpam-173	202	17			PROPN
ejpam-173	202	18			PROPN
ejpam-173	202	19			PROPN
ejpam-173	202	20	=	=	SYM
ejpam-173	202	21	�	�	PROPN
ejpam-173	202	22	4a1	4a1	NUM
ejpam-173	202	23	+	+	CCONJ
ejpam-173	202	24	2π	2π	PROPN
ejpam-173	202	25	ω1	ω1	PROPN
ejpam-173	202	26	�	�	PROPN
ejpam-173	202	27			PROPN
ejpam-173	202	28			ADJ
ejpam-173	202	29			ADJ
ejpam-173	202	30			ADJ
ejpam-173	202	31			ADJ
ejpam-173	202	32			ADJ
ejpam-173	202	33			ADJ
ejpam-173	202	34			ADJ
ejpam-173	202	35			ADJ
ejpam-173	202	36			ADJ
ejpam-173	202	37			NOUN
ejpam-173	203	1	n	n	CCONJ
ejpam-173	203	2	∑	∑	PUNCT
ejpam-173	203	3	k=1	k=1	ADP
ejpam-173	203	4	a1	a1	PROPN
ejpam-173	203	5	∫	∫	PROPN
ejpam-173	203	6	0	0	NUM
ejpam-173	204	1	θ	θ	PROPN
ejpam-173	204	2	k	k	NOUN
ejpam-173	205	1	∫	∫	PROPN
ejpam-173	205	2	θ	θ	PROPN
ejpam-173	205	3	k−1	k−1	PROPN
ejpam-173	205	4	g(r	g(r	PROPN
ejpam-173	205	5	cosθ	cosθ	PROPN
ejpam-173	205	6	,	,	PUNCT
ejpam-173	205	7	r	r	PROPN
ejpam-173	205	8	sinθ)rd	sinθ)rd	PROPN
ejpam-173	205	9	rdθ	rdθ	VERB
ejpam-173	205	10	n	n	ADV
ejpam-173	205	11	∑	∑	ADV
ejpam-173	205	12	k=1	k=1	PROPN
ejpam-173	205	13	a2	a2	PROPN
ejpam-173	205	14	∫	∫	PROPN
ejpam-173	206	1	a2−a1	a2−a1	PROPN
ejpam-173	206	2	θ	θ	PROPN
ejpam-173	206	3	k	k	PROPN
ejpam-173	207	1	∫	∫	PROPN
ejpam-173	207	2	θ	θ	PROPN
ejpam-173	207	3	k−1	k−1	PROPN
ejpam-173	207	4	g(r	g(r	PROPN
ejpam-173	207	5	cosθ	cosθ	PROPN
ejpam-173	207	6	,	,	PUNCT
ejpam-173	207	7	r	r	PROPN
ejpam-173	207	8	sinθ	sinθ	PROPN
ejpam-173	207	9	)	)	PUNCT
ejpam-173	207	10	rd	rd	NOUN
ejpam-173	207	11	rdθ	rdθ	VERB
ejpam-173	207	12	+	+	CCONJ
ejpam-173	207	13	...	...	PUNCT
ejpam-173	207	14			PROPN
ejpam-173	207	15			PROPN
ejpam-173	207	16			PROPN
ejpam-173	208	1			PROPN
ejpam-173	209	1			PROPN
ejpam-173	210	1			PROPN
ejpam-173	211	1			PROPN
ejpam-173	212	1			PROPN
ejpam-173	212	2			PROPN
ejpam-173	212	3			PROPN
ejpam-173	212	4			PROPN
ejpam-173	212	5	+	+	PROPN
ejpam-173	212	6	�	�	PROPN
ejpam-173	212	7	4a2	4a2	NUM
ejpam-173	212	8	+	+	CCONJ
ejpam-173	212	9	2π	2π	PROPN
ejpam-173	212	10	ω2	ω2	PROPN
ejpam-173	212	11	�	�	PROPN
ejpam-173	212	12			PROPN
ejpam-173	212	13			ADJ
ejpam-173	212	14			ADJ
ejpam-173	212	15			ADJ
ejpam-173	212	16			ADJ
ejpam-173	212	17			ADJ
ejpam-173	212	18			ADJ
ejpam-173	212	19			ADJ
ejpam-173	212	20			ADJ
ejpam-173	212	21			ADJ
ejpam-173	212	22			NOUN
ejpam-173	212	23	n	n	CCONJ
ejpam-173	212	24	∑	∑	PUNCT
ejpam-173	212	25	k=1	k=1	PROPN
ejpam-173	212	26	a2	a2	PROPN
ejpam-173	212	27	∫	∫	PROPN
ejpam-173	213	1	a2−a1	a2−a1	PROPN
ejpam-173	213	2	θ	θ	PROPN
ejpam-173	213	3	k	k	PROPN
ejpam-173	214	1	∫	∫	PROPN
ejpam-173	214	2	θ	θ	PROPN
ejpam-173	214	3	k−1	k−1	PROPN
ejpam-173	214	4	g(r	g(r	PROPN
ejpam-173	214	5	cosθ	cosθ	PROPN
ejpam-173	214	6	,	,	PUNCT
ejpam-173	214	7	r	r	PROPN
ejpam-173	214	8	sinθ)rd	sinθ)rd	X
ejpam-173	215	1	rdθ	rdθ	INTJ
ejpam-173	215	2	+	+	CCONJ
ejpam-173	216	1	n	n	CCONJ
ejpam-173	216	2	∑	∑	PUNCT
ejpam-173	216	3	k=1	k=1	PROPN
ejpam-173	216	4	a3	a3	PROPN
ejpam-173	216	5	∫	∫	PROPN
ejpam-173	216	6	a3−a2	a3−a2	PROPN
ejpam-173	217	1	θ	θ	PROPN
ejpam-173	217	2	k	k	X
ejpam-173	218	1	∫	∫	PROPN
ejpam-173	218	2	θ	θ	PROPN
ejpam-173	218	3	k−1	k−1	PROPN
ejpam-173	218	4	g(r	g(r	PROPN
ejpam-173	218	5	cosθ	cosθ	PROPN
ejpam-173	218	6	,	,	PUNCT
ejpam-173	218	7	r	r	PROPN
ejpam-173	218	8	sinθ)rd	sinθ)rd	X
ejpam-173	219	1	rdθ	rdθ	INTJ
ejpam-173	220	1	+	+	CCONJ
ejpam-173	220	2	...	...	PUNCT
ejpam-173	221	1			PROPN
ejpam-173	221	2			PROPN
ejpam-173	221	3			PROPN
ejpam-173	221	4			PROPN
ejpam-173	221	5			PROPN
ejpam-173	221	6			PROPN
ejpam-173	221	7			PROPN
ejpam-173	221	8			PROPN
ejpam-173	221	9			PROPN
ejpam-173	221	10			PROPN
ejpam-173	221	11			PROPN
ejpam-173	221	12	+	+	PROPN
ejpam-173	221	13	�	�	NOUN
ejpam-173	221	14	4a3	4a3	NUM
ejpam-173	221	15	+	+	NOUN
ejpam-173	221	16	2π	2π	PROPN
ejpam-173	221	17	ω3	ω3	PROPN
ejpam-173	221	18	�	�	PROPN
ejpam-173	221	19			PROPN
ejpam-173	221	20			ADJ
ejpam-173	221	21			ADJ
ejpam-173	221	22			ADJ
ejpam-173	221	23			ADJ
ejpam-173	221	24			ADJ
ejpam-173	221	25			ADJ
ejpam-173	221	26			ADJ
ejpam-173	221	27			ADJ
ejpam-173	221	28			ADJ
ejpam-173	221	29			NOUN
ejpam-173	221	30	n	n	CCONJ
ejpam-173	221	31	∑	∑	PUNCT
ejpam-173	221	32	k=1	k=1	PROPN
ejpam-173	221	33	a3	a3	PROPN
ejpam-173	221	34	∫	∫	PROPN
ejpam-173	221	35	a3−a2	a3−a2	PROPN
ejpam-173	222	1	θ	θ	PROPN
ejpam-173	222	2	k	k	X
ejpam-173	223	1	∫	∫	PROPN
ejpam-173	223	2	θ	θ	PROPN
ejpam-173	223	3	k−1	k−1	PROPN
ejpam-173	223	4	g(r	g(r	PROPN
ejpam-173	223	5	cosθ	cosθ	PROPN
ejpam-173	223	6	,	,	PUNCT
ejpam-173	223	7	r	r	PROPN
ejpam-173	223	8	sinθ)rd	sinθ)rd	X
ejpam-173	224	1	rdθ	rdθ	INTJ
ejpam-173	224	2	+	+	CCONJ
ejpam-173	225	1	n	n	CCONJ
ejpam-173	225	2	∑	∑	ADV
ejpam-173	225	3	k=1	k=1	ADJ
ejpam-173	225	4	a4	a4	PROPN
ejpam-173	225	5	∫	∫	PROPN
ejpam-173	225	6	a4−a3	a4−a3	PROPN
ejpam-173	225	7	θ	θ	PROPN
ejpam-173	225	8	k	k	NOUN
ejpam-173	226	1	∫	∫	PROPN
ejpam-173	226	2	θ	θ	PROPN
ejpam-173	226	3	k−1	k−1	PROPN
ejpam-173	226	4	g(r	g(r	PROPN
ejpam-173	226	5	cosθ	cosθ	PROPN
ejpam-173	226	6	,	,	PUNCT
ejpam-173	226	7	r	r	PROPN
ejpam-173	226	8	sinθ)rd	sinθ)rd	X
ejpam-173	227	1	rdθ	rdθ	INTJ
ejpam-173	228	1	+	+	CCONJ
ejpam-173	228	2	...	...	PUNCT
ejpam-173	229	1			PROPN
ejpam-173	229	2			PROPN
ejpam-173	229	3			PROPN
ejpam-173	229	4			PROPN
ejpam-173	229	5			PROPN
ejpam-173	229	6			PROPN
ejpam-173	229	7			PROPN
ejpam-173	229	8			PROPN
ejpam-173	229	9			PROPN
ejpam-173	229	10			PROPN
ejpam-173	229	11			PROPN
ejpam-173	229	12	+	+	PROPN
ejpam-173	229	13	...	...	PUNCT
ejpam-173	229	14	a.	a.	PROPN
ejpam-173	229	15	el	el	PROPN
ejpam-173	229	16	-	-	PUNCT
ejpam-173	229	17	moneim	moneim	PROPN
ejpam-173	229	18	,	,	PUNCT
ejpam-173	229	19	h.	h.	PROPN
ejpam-173	229	20	gabal	gabal	PROPN
ejpam-173	229	21	,	,	PUNCT
ejpam-173	229	22	and	and	CCONJ
ejpam-173	229	23	m.	m.	PROPN
ejpam-173	229	24	el	el	PROPN
ejpam-173	229	25	-	-	PUNCT
ejpam-173	229	26	hadidy	hadidy	ADJ
ejpam-173	229	27	/	/	SYM
ejpam-173	229	28	eur	eur	NOUN
ejpam-173	229	29	.	.	PUNCT
ejpam-173	230	1	j.	j.	PROPN
ejpam-173	230	2	pure	pure	PROPN
ejpam-173	230	3	appl	appl	PROPN
ejpam-173	230	4	.	.	PROPN
ejpam-173	230	5	math	math	PROPN
ejpam-173	230	6	,	,	PUNCT
ejpam-173	230	7	2	2	NUM
ejpam-173	230	8	(	(	PUNCT
ejpam-173	230	9	2009	2009	NUM
ejpam-173	230	10	)	)	PUNCT
ejpam-173	230	11	,	,	PUNCT
ejpam-173	230	12	(	(	PUNCT
ejpam-173	230	13	97	97	NUM
ejpam-173	230	14	-	-	SYM
ejpam-173	230	15	111	111	NUM
ejpam-173	230	16	)	)	PUNCT
ejpam-173	230	17	107	107	NUM
ejpam-173	230	18	=	=	SYM
ejpam-173	230	19	�	�	PROPN
ejpam-173	230	20	4a1	4a1	NUM
ejpam-173	230	21	+	+	CCONJ
ejpam-173	230	22	2π	2π	PROPN
ejpam-173	230	23	ω1	ω1	PROPN
ejpam-173	230	24	�	�	PROPN
ejpam-173	230	25			PROPN
ejpam-173	230	26			NOUN
ejpam-173	230	27			NOUN
ejpam-173	230	28			NOUN
ejpam-173	230	29			NOUN
ejpam-173	230	30			NOUN
ejpam-173	230	31			NOUN
ejpam-173	230	32			NOUN
ejpam-173	230	33			NOUN
ejpam-173	230	34			PROPN
ejpam-173	230	35	nθ	nθ	CCONJ
ejpam-173	230	36	(	(	PUNCT
ejpam-173	230	37	−σ2	−σ2	PROPN
ejpam-173	230	38	)	)	PUNCT
ejpam-173	230	39	2πσ2	2πσ2	NUM
ejpam-173	230	40			NOUN
ejpam-173	230	41			ADJ
ejpam-173	230	42			ADJ
ejpam-173	230	43			ADJ
ejpam-173	230	44			ADJ
ejpam-173	230	45			ADJ
ejpam-173	230	46			ADJ
ejpam-173	230	47			ADJ
ejpam-173	230	48			ADJ
ejpam-173	230	49			NUM
ejpam-173	230	50	a1	a1	PROPN
ejpam-173	230	51	∫	∫	PROPN
ejpam-173	230	52	0	0	NUM
ejpam-173	230	53	exp	exp	NOUN
ejpam-173	230	54	�	�	PROPN
ejpam-173	230	55	−r2	−r2	PROPN
ejpam-173	230	56	2σ2	2σ2	NUM
ejpam-173	230	57	�	�	PROPN
ejpam-173	230	58	d	d	ADP
ejpam-173	230	59	�	�	PROPN
ejpam-173	230	60	−r2	−r2	PROPN
ejpam-173	230	61	2σ2	2σ2	NUM
ejpam-173	230	62	�	�	PROPN
ejpam-173	230	63	+	+	NUM
ejpam-173	230	64	a2	a2	PROPN
ejpam-173	230	65	∫	∫	PROPN
ejpam-173	230	66	a2−a1	a2−a1	CCONJ
ejpam-173	230	67	exp	exp	NOUN
ejpam-173	230	68	�	�	PROPN
ejpam-173	230	69	−r2	−r2	PROPN
ejpam-173	230	70	2σ2	2σ2	NUM
ejpam-173	230	71	�	�	PROPN
ejpam-173	230	72	d	d	ADP
ejpam-173	230	73	�	�	PROPN
ejpam-173	230	74	−r2	−r2	PROPN
ejpam-173	230	75	2σ2	2σ2	NUM
ejpam-173	230	76	�	�	PROPN
ejpam-173	230	77	+	+	CCONJ
ejpam-173	230	78	...	...	PUNCT
ejpam-173	230	79			PROPN
ejpam-173	230	80			PROPN
ejpam-173	230	81			PROPN
ejpam-173	230	82			PROPN
ejpam-173	230	83			PROPN
ejpam-173	230	84			PROPN
ejpam-173	230	85			PROPN
ejpam-173	230	86			PROPN
ejpam-173	230	87			PROPN
ejpam-173	230	88			PROPN
ejpam-173	230	89			NOUN
ejpam-173	230	90			NOUN
ejpam-173	230	91			VERB
ejpam-173	230	92			NOUN
ejpam-173	230	93			NOUN
ejpam-173	230	94			NOUN
ejpam-173	230	95			NOUN
ejpam-173	230	96			NOUN
ejpam-173	230	97			NOUN
ejpam-173	230	98			PUNCT
ejpam-173	231	1	+	+	CCONJ
ejpam-173	231	2	�	�	PROPN
ejpam-173	231	3	4a2	4a2	NUM
ejpam-173	231	4	+	+	CCONJ
ejpam-173	231	5	2π	2π	PROPN
ejpam-173	231	6	ω2	ω2	PROPN
ejpam-173	231	7	�	�	PROPN
ejpam-173	231	8			PROPN
ejpam-173	231	9			NOUN
ejpam-173	231	10			NOUN
ejpam-173	231	11			NOUN
ejpam-173	231	12			NOUN
ejpam-173	231	13			NOUN
ejpam-173	231	14			NOUN
ejpam-173	231	15			NOUN
ejpam-173	231	16			NOUN
ejpam-173	231	17			NOUN
ejpam-173	231	18	nθ(−σ2	nθ(−σ2	ADJ
ejpam-173	231	19	)	)	PUNCT
ejpam-173	231	20	2πσ2	2πσ2	NUM
ejpam-173	231	21			NOUN
ejpam-173	231	22			ADJ
ejpam-173	231	23			ADJ
ejpam-173	231	24			ADJ
ejpam-173	231	25			ADJ
ejpam-173	231	26			ADJ
ejpam-173	231	27			ADJ
ejpam-173	231	28			ADJ
ejpam-173	231	29			ADJ
ejpam-173	231	30			NUM
ejpam-173	231	31	a2	a2	PROPN
ejpam-173	231	32	∫	∫	PROPN
ejpam-173	231	33	a2−a1	a2−a1	CCONJ
ejpam-173	231	34	exp	exp	NOUN
ejpam-173	231	35	�	�	PROPN
ejpam-173	231	36	−r2	−r2	PROPN
ejpam-173	231	37	2σ2	2σ2	NUM
ejpam-173	231	38	�	�	PROPN
ejpam-173	231	39	d	d	ADP
ejpam-173	231	40	�	�	PROPN
ejpam-173	231	41	−r2	−r2	PROPN
ejpam-173	231	42	2σ2	2σ2	NUM
ejpam-173	231	43	�	�	PROPN
ejpam-173	231	44	+	+	NUM
ejpam-173	231	45	a3	a3	PROPN
ejpam-173	231	46	∫	∫	PROPN
ejpam-173	231	47	a3−a2	a3−a2	PROPN
ejpam-173	232	1	exp	exp	PROPN
ejpam-173	232	2	�	�	PROPN
ejpam-173	232	3	−r2	−r2	PROPN
ejpam-173	232	4	2σ2	2σ2	NUM
ejpam-173	232	5	�	�	PROPN
ejpam-173	232	6	d	d	ADP
ejpam-173	232	7	�	�	PROPN
ejpam-173	232	8	−r2	−r2	PROPN
ejpam-173	232	9	2σ2	2σ2	NUM
ejpam-173	232	10	�	�	PROPN
ejpam-173	232	11	+	+	CCONJ
ejpam-173	232	12	...	...	PUNCT
ejpam-173	232	13			PROPN
ejpam-173	232	14			PROPN
ejpam-173	232	15			PROPN
ejpam-173	232	16			PROPN
ejpam-173	232	17			PROPN
ejpam-173	232	18			PROPN
ejpam-173	232	19			PROPN
ejpam-173	232	20			PROPN
ejpam-173	232	21			PROPN
ejpam-173	232	22			PROPN
ejpam-173	232	23			NOUN
ejpam-173	232	24			NOUN
ejpam-173	232	25			VERB
ejpam-173	232	26			NOUN
ejpam-173	232	27			NOUN
ejpam-173	232	28			NOUN
ejpam-173	232	29			NOUN
ejpam-173	232	30			NOUN
ejpam-173	232	31			NOUN
ejpam-173	232	32			PUNCT
ejpam-173	233	1	+	+	CCONJ
ejpam-173	233	2	�	�	PROPN
ejpam-173	233	3	4a3	4a3	NUM
ejpam-173	234	1	+	+	CCONJ
ejpam-173	234	2	2π	2π	PROPN
ejpam-173	234	3	ω3	ω3	PROPN
ejpam-173	234	4	�	�	PROPN
ejpam-173	234	5			PROPN
ejpam-173	234	6			NOUN
ejpam-173	234	7			NOUN
ejpam-173	234	8			NOUN
ejpam-173	234	9			NOUN
ejpam-173	234	10			NOUN
ejpam-173	234	11			NOUN
ejpam-173	234	12			NOUN
ejpam-173	234	13			NOUN
ejpam-173	234	14			NOUN
ejpam-173	234	15	nθ(−σ2	nθ(−σ2	ADJ
ejpam-173	234	16	)	)	PUNCT
ejpam-173	234	17	2πσ2	2πσ2	NUM
ejpam-173	235	1			NOUN
ejpam-173	235	2			ADJ
ejpam-173	235	3			ADJ
ejpam-173	235	4			ADJ
ejpam-173	235	5			ADJ
ejpam-173	235	6			ADJ
ejpam-173	235	7			ADJ
ejpam-173	235	8			ADJ
ejpam-173	235	9			ADJ
ejpam-173	235	10			NUM
ejpam-173	235	11	a3	a3	PROPN
ejpam-173	235	12	∫	∫	PROPN
ejpam-173	235	13	a3−a2	a3−a2	PROPN
ejpam-173	235	14	exp	exp	PROPN
ejpam-173	235	15	�	�	PROPN
ejpam-173	235	16	−r2	−r2	PROPN
ejpam-173	235	17	2σ2	2σ2	NUM
ejpam-173	235	18	�	�	PROPN
ejpam-173	235	19	d	d	ADP
ejpam-173	235	20	�	�	PROPN
ejpam-173	235	21	−r2	−r2	PROPN
ejpam-173	235	22	2σ2	2σ2	NUM
ejpam-173	235	23	�	�	PROPN
ejpam-173	235	24	+	+	CCONJ
ejpam-173	235	25	a4	a4	PROPN
ejpam-173	235	26	∫	∫	PROPN
ejpam-173	235	27	a4−a3	a4−a3	NOUN
ejpam-173	235	28	exp	exp	DET
ejpam-173	235	29	�	�	PROPN
ejpam-173	235	30	−r2	−r2	PROPN
ejpam-173	235	31	2σ2	2σ2	NUM
ejpam-173	235	32	�	�	PROPN
ejpam-173	235	33	d	d	ADP
ejpam-173	235	34	�	�	PROPN
ejpam-173	235	35	−r2	−r2	PROPN
ejpam-173	235	36	2σ2	2σ2	NUM
ejpam-173	235	37	�	�	PROPN
ejpam-173	235	38	+	+	CCONJ
ejpam-173	235	39	...	...	PUNCT
ejpam-173	235	40			PROPN
ejpam-173	235	41			PROPN
ejpam-173	235	42			PROPN
ejpam-173	235	43			PROPN
ejpam-173	235	44			PROPN
ejpam-173	235	45			PROPN
ejpam-173	235	46			PROPN
ejpam-173	235	47			PROPN
ejpam-173	235	48			PROPN
ejpam-173	235	49			PROPN
ejpam-173	235	50			NOUN
ejpam-173	235	51			NOUN
ejpam-173	235	52			VERB
ejpam-173	235	53			NOUN
ejpam-173	235	54			NOUN
ejpam-173	235	55			NOUN
ejpam-173	235	56			NOUN
ejpam-173	235	57			NOUN
ejpam-173	235	58			NOUN
ejpam-173	235	59			PUNCT
ejpam-173	236	1	+	+	X
ejpam-173	236	2	...	...	PUNCT
ejpam-173	236	3	then	then	ADV
ejpam-173	236	4	∂	∂	NUM
ejpam-173	236	5	2e(t(φ	2e(t(φ	NUM
ejpam-173	236	6	)	)	PUNCT
ejpam-173	236	7	)	)	PUNCT
ejpam-173	236	8	∂	∂	NUM
ejpam-173	236	9	ω1∂	ω1∂	NOUN
ejpam-173	236	10	a1	a1	NOUN
ejpam-173	236	11	=	=	PUNCT
ejpam-173	236	12	nθ	nθ	NOUN
ejpam-173	236	13	ω2	ω2	ADJ
ejpam-173	236	14	1	1	NUM
ejpam-173	236	15	�	�	PROPN
ejpam-173	236	16	−a1	−a1	PROPN
ejpam-173	236	17	σ2	σ2	PROPN
ejpam-173	236	18	exp	exp	NOUN
ejpam-173	236	19	�	�	PROPN
ejpam-173	236	20	−a2	−a2	PROPN
ejpam-173	236	21	1	1	NUM
ejpam-173	236	22	2σ2	2σ2	NUM
ejpam-173	236	23	�	�	PROPN
ejpam-173	236	24	+	+	CCONJ
ejpam-173	236	25	(	(	PUNCT
ejpam-173	236	26	a2−a1	a2−a1	ADJ
ejpam-173	236	27	)	)	PUNCT
ejpam-173	236	28	σ2	σ2	PROPN
ejpam-173	236	29	exp	exp	DET
ejpam-173	236	30	�	�	PROPN
ejpam-173	236	31	−(a2−a1	−(a2−a1	ADV
ejpam-173	236	32	)	)	PUNCT
ejpam-173	236	33	2	2	NUM
ejpam-173	236	34	2σ2	2σ2	NUM
ejpam-173	236	35	�	�	PROPN
ejpam-173	236	36	�	�	PROPN
ejpam-173	236	37	=	=	SYM
ejpam-173	236	38	0	0	NUM
ejpam-173	236	39	which	which	PRON
ejpam-173	236	40	leads	lead	VERB
ejpam-173	236	41	to	to	ADP
ejpam-173	236	42	a1	a1	VERB
ejpam-173	236	43	exp	exp	NOUN
ejpam-173	236	44	�	�	PROPN
ejpam-173	236	45	−a2	−a2	PROPN
ejpam-173	236	46	1	1	NUM
ejpam-173	236	47	2σ2	2σ2	NUM
ejpam-173	236	48	�	�	NOUN
ejpam-173	236	49	=	=	SYM
ejpam-173	236	50	(	(	PUNCT
ejpam-173	236	51	a2−	a2−	PROPN
ejpam-173	236	52	a1)exp	a1)exp	PROPN
ejpam-173	236	53	�	�	PROPN
ejpam-173	236	54	−(a2−a1	−(a2−a1	ADV
ejpam-173	236	55	)	)	PUNCT
ejpam-173	236	56	2	2	NUM
ejpam-173	236	57	2σ2	2σ2	NUM
ejpam-173	236	58	�	�	PROPN
ejpam-173	236	59	.	.	PUNCT
ejpam-173	237	1	also	also	ADV
ejpam-173	237	2	,	,	PUNCT
ejpam-173	237	3	∂	∂	NUM
ejpam-173	237	4	2e(t(φ	2e(t(φ	NUM
ejpam-173	237	5	)	)	PUNCT
ejpam-173	237	6	)	)	PUNCT
ejpam-173	237	7	∂	∂	NUM
ejpam-173	237	8	ω2∂	ω2∂	NUM
ejpam-173	237	9	a2	a2	PROPN
ejpam-173	237	10	=	=	SYM
ejpam-173	237	11	nθ	nθ	ADP
ejpam-173	237	12	ω2	ω2	ADJ
ejpam-173	237	13	2	2	NUM
ejpam-173	237	14	�	�	NOUN
ejpam-173	237	15	−(a2−a1	−(a2−a1	ADV
ejpam-173	237	16	)	)	PUNCT
ejpam-173	237	17	σ2	σ2	PROPN
ejpam-173	237	18	exp	exp	DET
ejpam-173	237	19	�	�	PROPN
ejpam-173	237	20	−(a2−a1	−(a2−a1	ADV
ejpam-173	237	21	)	)	PUNCT
ejpam-173	237	22	2	2	NUM
ejpam-173	237	23	2σ2	2σ2	NUM
ejpam-173	237	24	�	�	PROPN
ejpam-173	237	25	+	+	NUM
ejpam-173	237	26	a2	a2	PROPN
ejpam-173	237	27	σ2	σ2	PROPN
ejpam-173	237	28	exp	exp	NOUN
ejpam-173	237	29	�	�	PROPN
ejpam-173	237	30	−a2	−a2	PROPN
ejpam-173	237	31	2	2	NUM
ejpam-173	237	32	2σ2	2σ2	NUM
ejpam-173	237	33	�	�	NOUN
ejpam-173	237	34	+	+	CCONJ
ejpam-173	237	35	0	0	NUM
ejpam-173	237	36	+	+	CCONJ
ejpam-173	237	37	(	(	PUNCT
ejpam-173	237	38	a3−a2	a3−a2	NOUN
ejpam-173	237	39	)	)	PUNCT
ejpam-173	237	40	σ2	σ2	PROPN
ejpam-173	237	41	exp	exp	PRON
ejpam-173	237	42	�	�	PROPN
ejpam-173	237	43	−(a3−a2	−(a3−a2	PROPN
ejpam-173	237	44	)	)	PUNCT
ejpam-173	237	45	2	2	NUM
ejpam-173	237	46	2σ2	2σ2	NUM
ejpam-173	237	47	�	�	PROPN
ejpam-173	237	48	�	�	PROPN
ejpam-173	237	49	=	=	PROPN
ejpam-173	237	50	0	0	NUM
ejpam-173	237	51	due	due	ADP
ejpam-173	237	52	to	to	ADP
ejpam-173	237	53	a2	a2	PROPN
ejpam-173	237	54	exp	exp	NOUN
ejpam-173	237	55	�	�	PROPN
ejpam-173	237	56	−a2	−a2	PROPN
ejpam-173	237	57	2	2	NUM
ejpam-173	237	58	2σ2	2σ2	NUM
ejpam-173	237	59	�	�	NOUN
ejpam-173	237	60	=	=	SYM
ejpam-173	237	61	(	(	PUNCT
ejpam-173	237	62	a2−	a2−	PROPN
ejpam-173	237	63	a1)exp	a1)exp	PROPN
ejpam-173	237	64	�	�	PROPN
ejpam-173	237	65	−(a2−a1	−(a2−a1	ADV
ejpam-173	237	66	)	)	PUNCT
ejpam-173	237	67	2	2	NUM
ejpam-173	237	68	2σ2	2σ2	NUM
ejpam-173	237	69	�	�	PROPN
ejpam-173	237	70	+	+	CCONJ
ejpam-173	237	71	(	(	PUNCT
ejpam-173	237	72	a3	a3	NOUN
ejpam-173	237	73	−	−	PROPN
ejpam-173	237	74	a2)exp	a2)exp	PROPN
ejpam-173	237	75	�	�	PROPN
ejpam-173	237	76	−(a3−a2	−(a3−a2	PROPN
ejpam-173	237	77	)	)	PUNCT
ejpam-173	237	78	2	2	NUM
ejpam-173	237	79	2σ2	2σ2	NUM
ejpam-173	237	80	�	�	PROPN
ejpam-173	237	81	.	.	PUNCT
ejpam-173	238	1	similarly	similarly	ADV
ejpam-173	238	2	,	,	PUNCT
ejpam-173	238	3	a3	a3	VERB
ejpam-173	238	4	exp	exp	NOUN
ejpam-173	238	5	�	�	PROPN
ejpam-173	238	6	−a2	−a2	PROPN
ejpam-173	238	7	3	3	NUM
ejpam-173	238	8	2σ2	2σ2	NUM
ejpam-173	238	9	�	�	NOUN
ejpam-173	238	10	=	=	SYM
ejpam-173	238	11	(	(	PUNCT
ejpam-173	238	12	a3−	a3−	CCONJ
ejpam-173	238	13	a2)exp	a2)exp	PROPN
ejpam-173	238	14	�	�	PROPN
ejpam-173	238	15	−(a3−a2	−(a3−a2	PROPN
ejpam-173	238	16	)	)	PUNCT
ejpam-173	238	17	2	2	NUM
ejpam-173	238	18	2σ2	2σ2	NUM
ejpam-173	238	19	�	�	PROPN
ejpam-173	238	20	+	+	CCONJ
ejpam-173	238	21	(	(	PUNCT
ejpam-173	238	22	a4	a4	NOUN
ejpam-173	238	23	−	−	NOUN
ejpam-173	238	24	a3)exp	a3)exp	PROPN
ejpam-173	238	25	�	�	PROPN
ejpam-173	238	26	−(a4−a3	−(a4−a3	PROPN
ejpam-173	238	27	)	)	PUNCT
ejpam-173	238	28	2	2	NUM
ejpam-173	238	29	2σ2	2σ2	NUM
ejpam-173	238	30	�	�	PROPN
ejpam-173	238	31	.	.	PUNCT
ejpam-173	239	1	and	and	CCONJ
ejpam-173	239	2	so	so	ADV
ejpam-173	239	3	on	on	ADV
ejpam-173	239	4	we	we	PRON
ejpam-173	239	5	can	can	AUX
ejpam-173	239	6	get	get	VERB
ejpam-173	239	7	:	:	PUNCT
ejpam-173	239	8	ai	ai	VERB
ejpam-173	239	9	exp	exp	NOUN
ejpam-173	239	10	�	�	PROPN
ejpam-173	239	11	−a2	−a2	PROPN
ejpam-173	240	1	i	i	PROPN
ejpam-173	240	2	2σ2	2σ2	NUM
ejpam-173	240	3	�	�	PROPN
ejpam-173	240	4	=	=	SYM
ejpam-173	240	5	(	(	PUNCT
ejpam-173	240	6	ai	ai	VERB
ejpam-173	240	7	−	−	PROPN
ejpam-173	241	1	ai−1)exp	ai−1)exp	PROPN
ejpam-173	241	2	(	(	PUNCT
ejpam-173	241	3	−(ai−ai−1	−(ai−ai−1	NOUN
ejpam-173	241	4	)	)	PUNCT
ejpam-173	241	5	2	2	NUM
ejpam-173	241	6	2σ2	2σ2	NUM
ejpam-173	241	7	)	)	PUNCT
ejpam-173	242	1	+	+	CCONJ
ejpam-173	242	2	(	(	PUNCT
ejpam-173	242	3	ai+1	ai+1	NUM
ejpam-173	242	4	−	−	PROPN
ejpam-173	242	5	ai)exp	ai)exp	PROPN
ejpam-173	242	6	(	(	PUNCT
ejpam-173	242	7	−(ai+1−ai	−(ai+1−ai	NOUN
ejpam-173	242	8	)	)	PUNCT
ejpam-173	242	9	2	2	NUM
ejpam-173	242	10	2σ2	2σ2	NUM
ejpam-173	242	11	)	)	PUNCT
ejpam-173	242	12	,	,	PUNCT
ejpam-173	242	13	i	i	PRON
ejpam-173	242	14	=	=	NOUN
ejpam-173	242	15	3,4,5	3,4,5	NUM
ejpam-173	242	16	,	,	PUNCT
ejpam-173	242	17	...	...	PUNCT
ejpam-173	242	18	since	since	SCONJ
ejpam-173	242	19	the	the	DET
ejpam-173	242	20	searcher	searcher	PROPN
ejpam-173	242	21	searches	search	VERB
ejpam-173	242	22	inside	inside	ADP
ejpam-173	242	23	the	the	DET
ejpam-173	242	24	sector	sector	NOUN
ejpam-173	242	25	with	with	ADP
ejpam-173	242	26	width	width	ADJ
ejpam-173	242	27	ai−ai−1	ai−ai−1	NOUN
ejpam-173	242	28	,	,	PUNCT
ejpam-173	242	29	by	by	ADP
ejpam-173	242	30	choosing	choose	VERB
ejpam-173	242	31	many	many	ADJ
ejpam-173	242	32	values	value	NOUN
ejpam-173	242	33	a.	a.	PROPN
ejpam-173	242	34	el	el	PROPN
ejpam-173	242	35	-	-	PUNCT
ejpam-173	242	36	moneim	moneim	PROPN
ejpam-173	242	37	,	,	PUNCT
ejpam-173	242	38	h.	h.	PROPN
ejpam-173	242	39	gabal	gabal	PROPN
ejpam-173	242	40	,	,	PUNCT
ejpam-173	242	41	and	and	CCONJ
ejpam-173	242	42	m.	m.	PROPN
ejpam-173	242	43	el	el	PROPN
ejpam-173	242	44	-	-	PUNCT
ejpam-173	242	45	hadidy	hadidy	ADJ
ejpam-173	242	46	/	/	SYM
ejpam-173	242	47	eur	eur	NOUN
ejpam-173	242	48	.	.	PUNCT
ejpam-173	243	1	j.	j.	PROPN
ejpam-173	243	2	pure	pure	PROPN
ejpam-173	243	3	appl	appl	PROPN
ejpam-173	243	4	.	.	PROPN
ejpam-173	243	5	math	math	PROPN
ejpam-173	243	6	,	,	PUNCT
ejpam-173	243	7	2	2	NUM
ejpam-173	243	8	(	(	PUNCT
ejpam-173	243	9	2009	2009	NUM
ejpam-173	243	10	)	)	PUNCT
ejpam-173	243	11	,	,	PUNCT
ejpam-173	243	12	(	(	PUNCT
ejpam-173	243	13	97	97	NUM
ejpam-173	243	14	-	-	SYM
ejpam-173	243	15	111	111	NUM
ejpam-173	243	16	)	)	PUNCT
ejpam-173	243	17	108	108	NUM
ejpam-173	243	18	of	of	ADP
ejpam-173	243	19	a1	a1	NOUN
ejpam-173	243	20	,	,	PUNCT
ejpam-173	243	21	where	where	SCONJ
ejpam-173	243	22	the	the	DET
ejpam-173	243	23	above	above	ADJ
ejpam-173	243	24	theorem	theorem	NOUN
ejpam-173	243	25	is	be	AUX
ejpam-173	243	26	true	true	ADJ
ejpam-173	243	27	for	for	ADP
ejpam-173	243	28	all	all	DET
ejpam-173	243	29	values	value	NOUN
ejpam-173	243	30	of	of	ADP
ejpam-173	243	31	ai	ai	NOUN
ejpam-173	243	32	,	,	PUNCT
ejpam-173	243	33	i	i	PRON
ejpam-173	243	34	=	=	NOUN
ejpam-173	243	35	2,3,4,5	2,3,4,5	NUM
ejpam-173	243	36	,	,	PUNCT
ejpam-173	243	37	...	...	PUNCT
ejpam-173	244	1	we	we	PRON
ejpam-173	244	2	have	have	VERB
ejpam-173	244	3	two	two	NUM
ejpam-173	244	4	cases	case	NOUN
ejpam-173	244	5	case	case	NOUN
ejpam-173	244	6	(	(	PUNCT
ejpam-173	244	7	1	1	X
ejpam-173	244	8	)	)	PUNCT
ejpam-173	244	9	if	if	SCONJ
ejpam-173	244	10	ai	ai	VERB
ejpam-173	244	11	≥	≥	NOUN
ejpam-173	244	12	ai−1	ai−1	PROPN
ejpam-173	244	13	,	,	PUNCT
ejpam-173	244	14	this	this	PRON
ejpam-173	244	15	is	be	AUX
ejpam-173	244	16	the	the	DET
ejpam-173	244	17	optimal	optimal	ADJ
ejpam-173	244	18	case	case	NOUN
ejpam-173	244	19	which	which	PRON
ejpam-173	244	20	we	we	PRON
ejpam-173	244	21	need	need	VERB
ejpam-173	244	22	to	to	PART
ejpam-173	244	23	satisfy	satisfy	VERB
ejpam-173	244	24	it	it	PRON
ejpam-173	244	25	along	along	ADP
ejpam-173	244	26	the	the	DET
ejpam-173	244	27	search	search	NOUN
ejpam-173	244	28	process	process	NOUN
ejpam-173	244	29	.	.	PUNCT
ejpam-173	245	1	case	case	NOUN
ejpam-173	245	2	(	(	PUNCT
ejpam-173	245	3	2	2	X
ejpam-173	245	4	)	)	PUNCT
ejpam-173	245	5	if	if	SCONJ
ejpam-173	245	6	ai	ai	VERB
ejpam-173	245	7	<	<	X
ejpam-173	245	8	ai−1	ai−1	PROPN
ejpam-173	245	9	,	,	PUNCT
ejpam-173	245	10	then	then	ADV
ejpam-173	245	11	in	in	ADP
ejpam-173	245	12	this	this	DET
ejpam-173	245	13	case	case	NOUN
ejpam-173	245	14	the	the	DET
ejpam-173	245	15	value	value	NOUN
ejpam-173	245	16	of	of	ADP
ejpam-173	245	17	a1	a1	NOUN
ejpam-173	245	18	is	be	AUX
ejpam-173	245	19	rejected	reject	VERB
ejpam-173	245	20	.	.	PUNCT
ejpam-173	246	1	if	if	SCONJ
ejpam-173	246	2	we	we	PRON
ejpam-173	246	3	take	take	VERB
ejpam-173	246	4	0.5≤	0.5≤	NOUN
ejpam-173	246	5	a1	a1	NOUN
ejpam-173	246	6	≤	≤	NUM
ejpam-173	246	7	1	1	NUM
ejpam-173	246	8	,	,	PUNCT
ejpam-173	246	9	σ	σ	NOUN
ejpam-173	246	10	=	=	SYM
ejpam-173	246	11	3	3	NUM
ejpam-173	246	12	we	we	PRON
ejpam-173	246	13	can	can	AUX
ejpam-173	246	14	choose	choose	VERB
ejpam-173	246	15	the	the	DET
ejpam-173	246	16	value	value	NOUN
ejpam-173	246	17	of	of	ADP
ejpam-173	246	18	a1	a1	NOUN
ejpam-173	246	19	which	which	PRON
ejpam-173	246	20	can	can	AUX
ejpam-173	246	21	get	get	VERB
ejpam-173	246	22	ai	ai	VERB
ejpam-173	246	23	,	,	PUNCT
ejpam-173	246	24	i	i	PRON
ejpam-173	246	25	=	=	NOUN
ejpam-173	246	26	2,3	2,3	NUM
ejpam-173	246	27	,	,	PUNCT
ejpam-173	246	28	...	...	PUNCT
ejpam-173	246	29	that	that	PRON
ejpam-173	246	30	minimize	minimize	VERB
ejpam-173	246	31	the	the	DET
ejpam-173	246	32	expected	expect	VERB
ejpam-173	246	33	value	value	NOUN
ejpam-173	246	34	of	of	ADP
ejpam-173	246	35	the	the	DET
ejpam-173	246	36	time	time	NOUN
ejpam-173	246	37	to	to	PART
ejpam-173	246	38	detect	detect	VERB
ejpam-173	246	39	the	the	DET
ejpam-173	246	40	target	target	NOUN
ejpam-173	246	41	and	and	CCONJ
ejpam-173	246	42	satisfy	satisfy	VERB
ejpam-173	246	43	the	the	DET
ejpam-173	246	44	condition	condition	NOUN
ejpam-173	246	45	ai	ai	VERB
ejpam-173	246	46	≥	≥	NOUN
ejpam-173	246	47	ai−1	ai−1	PROPN
ejpam-173	246	48	along	along	ADP
ejpam-173	246	49	the	the	DET
ejpam-173	246	50	searching	searching	NOUN
ejpam-173	246	51	process	process	NOUN
ejpam-173	246	52	.	.	PUNCT
ejpam-173	247	1	for	for	ADP
ejpam-173	247	2	example	example	NOUN
ejpam-173	247	3	,	,	PUNCT
ejpam-173	247	4	if	if	SCONJ
ejpam-173	247	5	a1	a1	NOUN
ejpam-173	247	6	=	=	SYM
ejpam-173	247	7	0.5	0.5	NUM
ejpam-173	247	8	,	,	PUNCT
ejpam-173	247	9	then	then	ADV
ejpam-173	247	10	by	by	ADP
ejpam-173	247	11	substuting	substute	VERB
ejpam-173	247	12	in	in	ADP
ejpam-173	247	13	(	(	PUNCT
ejpam-173	247	14	4	4	NUM
ejpam-173	247	15	)	)	PUNCT
ejpam-173	247	16	as	as	ADP
ejpam-173	247	17	in	in	ADP
ejpam-173	247	18	the	the	DET
ejpam-173	247	19	following	following	NOUN
ejpam-173	247	20	:	:	PUNCT
ejpam-173	247	21	(	(	PUNCT
ejpam-173	247	22	0.5)exp	0.5)exp	NUM
ejpam-173	247	23	�	�	PROPN
ejpam-173	247	24	−(0.5)2	−(0.5)2	PROPN
ejpam-173	247	25	18	18	NUM
ejpam-173	247	26	�	�	NOUN
ejpam-173	247	27	=	=	SYM
ejpam-173	247	28	(	(	PUNCT
ejpam-173	247	29	a2	a2	PROPN
ejpam-173	247	30	−	−	PROPN
ejpam-173	247	31	0.5)exp	0.5)exp	NUM
ejpam-173	247	32	�	�	PROPN
ejpam-173	247	33	−(a2−0.5)2	−(a2−0.5)2	PROPN
ejpam-173	247	34	18	18	NUM
ejpam-173	247	35	�	�	PROPN
ejpam-173	247	36	,	,	PUNCT
ejpam-173	247	37	solution	solution	NOUN
ejpam-173	247	38	is	be	AUX
ejpam-173	247	39	:	:	PUNCT
ejpam-173	247	40	�	�	PROPN
ejpam-173	247	41	�	�	PROPN
ejpam-173	247	42	a2	a2	PROPN
ejpam-173	247	43	=	=	PROPN
ejpam-173	247	44	7.389	7.389	NUM
ejpam-173	247	45	6	6	NUM
ejpam-173	247	46	�	�	PROPN
ejpam-173	247	47	,	,	PUNCT
ejpam-173	247	48	then	then	ADV
ejpam-173	247	49	a2	a2	PROPN
ejpam-173	247	50	>	>	X
ejpam-173	247	51	a1	a1	NOUN
ejpam-173	247	52	and	and	CCONJ
ejpam-173	247	53	for	for	ADP
ejpam-173	247	54	calculating	calculate	VERB
ejpam-173	247	55	a3	a3	NOUN
ejpam-173	247	56	(	(	PUNCT
ejpam-173	247	57	7.389	7.389	NUM
ejpam-173	247	58	6)exp	6)exp	NUM
ejpam-173	247	59	�	�	PROPN
ejpam-173	247	60	−(7	−(7	NOUN
ejpam-173	247	61	.	.	PUNCT
ejpam-173	248	1	3896)2	3896)2	NUM
ejpam-173	248	2	18	18	NUM
ejpam-173	248	3	�	�	NOUN
ejpam-173	248	4	=	=	SYM
ejpam-173	248	5	(	(	PUNCT
ejpam-173	248	6	7.389	7.389	NUM
ejpam-173	248	7	6−	6−	NUM
ejpam-173	248	8	0.5)exp	0.5)exp	NUM
ejpam-173	248	9	�	�	PROPN
ejpam-173	248	10	−(7	−(7	NOUN
ejpam-173	248	11	.	.	PUNCT
ejpam-173	249	1	3896−0.5)2	3896−0.5)2	NUM
ejpam-173	249	2	18	18	NUM
ejpam-173	249	3	�	�	NOUN
ejpam-173	249	4	+	+	PROPN
ejpam-173	249	5	(	(	PUNCT
ejpam-173	249	6	a3−	a3−	ADP
ejpam-173	249	7	7.389	7.389	NUM
ejpam-173	249	8	6)exp	6)exp	NUM
ejpam-173	249	9	�	�	PROPN
ejpam-173	249	10	−(a3−7	−(a3−7	ADJ
ejpam-173	249	11	.	.	PUNCT
ejpam-173	250	1	3896)2	3896)2	NUM
ejpam-173	250	2	18	18	NUM
ejpam-173	250	3	�	�	PROPN
ejpam-173	250	4	,	,	PUNCT
ejpam-173	250	5	solution	solution	NOUN
ejpam-173	250	6	is	be	AUX
ejpam-173	250	7	:	:	PUNCT
ejpam-173	250	8	�	�	PROPN
ejpam-173	250	9	�	�	PROPN
ejpam-173	250	10	a3	a3	NOUN
ejpam-173	250	11	=	=	PROPN
ejpam-173	250	12	−1.243	−1.243	PROPN
ejpam-173	250	13	5	5	NUM
ejpam-173	250	14	�	�	PROPN
ejpam-173	250	15	,	,	PUNCT
ejpam-173	250	16	then	then	ADV
ejpam-173	250	17	a3	a3	VERB
ejpam-173	250	18	<	<	X
ejpam-173	250	19	a2	a2	PROPN
ejpam-173	250	20	,	,	PUNCT
ejpam-173	250	21	so	so	SCONJ
ejpam-173	250	22	we	we	PRON
ejpam-173	250	23	stop	stop	VERB
ejpam-173	250	24	the	the	DET
ejpam-173	250	25	process	process	NOUN
ejpam-173	250	26	and	and	CCONJ
ejpam-173	250	27	reject	reject	VERB
ejpam-173	250	28	this	this	DET
ejpam-173	250	29	value	value	NOUN
ejpam-173	250	30	of	of	ADP
ejpam-173	250	31	a1	a1	NOUN
ejpam-173	250	32	and	and	CCONJ
ejpam-173	250	33	so	so	ADV
ejpam-173	250	34	on	on	ADV
ejpam-173	250	35	.	.	PUNCT
ejpam-173	251	1	some	some	DET
ejpam-173	251	2	values	value	NOUN
ejpam-173	251	3	of	of	ADP
ejpam-173	251	4	a1	a1	NOUN
ejpam-173	251	5	in	in	ADP
ejpam-173	251	6	the	the	DET
ejpam-173	251	7	interval	interval	NOUN
ejpam-173	251	8	(	(	PUNCT
ejpam-173	251	9	0.5,1	0.5,1	NOUN
ejpam-173	251	10	)	)	PUNCT
ejpam-173	251	11	are	be	AUX
ejpam-173	251	12	taken	take	VERB
ejpam-173	251	13	as	as	ADP
ejpam-173	251	14	in	in	ADP
ejpam-173	251	15	the	the	DET
ejpam-173	251	16	table	table	NOUN
ejpam-173	251	17	i	i	PRON
ejpam-173	251	18	to	to	PART
ejpam-173	251	19	choose	choose	VERB
ejpam-173	251	20	the	the	DET
ejpam-173	251	21	best	good	ADJ
ejpam-173	251	22	value	value	NOUN
ejpam-173	251	23	of	of	ADP
ejpam-173	251	24	a1between	a1between	PROPN
ejpam-173	251	25	them	they	PRON
ejpam-173	251	26	,	,	PUNCT
ejpam-173	251	27	which	which	PRON
ejpam-173	251	28	satisfied	satisfy	VERB
ejpam-173	251	29	the	the	DET
ejpam-173	251	30	above	above	ADJ
ejpam-173	251	31	optimal	optimal	ADJ
ejpam-173	251	32	condition	condition	NOUN
ejpam-173	251	33	along	along	ADP
ejpam-173	251	34	the	the	DET
ejpam-173	251	35	searching	searching	NOUN
ejpam-173	251	36	process	process	NOUN
ejpam-173	251	37	.	.	PUNCT
ejpam-173	252	1	a.	a.	PROPN
ejpam-173	252	2	el	el	PROPN
ejpam-173	252	3	-	-	PUNCT
ejpam-173	252	4	moneim	moneim	PROPN
ejpam-173	252	5	,	,	PUNCT
ejpam-173	252	6	h.	h.	PROPN
ejpam-173	252	7	gabal	gabal	PROPN
ejpam-173	252	8	,	,	PUNCT
ejpam-173	252	9	and	and	CCONJ
ejpam-173	252	10	m.	m.	PROPN
ejpam-173	252	11	el	el	PROPN
ejpam-173	252	12	-	-	PUNCT
ejpam-173	252	13	hadidy	hadidy	ADJ
ejpam-173	252	14	/	/	SYM
ejpam-173	252	15	eur	eur	NOUN
ejpam-173	252	16	.	.	PUNCT
ejpam-173	253	1	j.	j.	PROPN
ejpam-173	253	2	pure	pure	PROPN
ejpam-173	253	3	appl	appl	PROPN
ejpam-173	253	4	.	.	PROPN
ejpam-173	253	5	math	math	PROPN
ejpam-173	253	6	,	,	PUNCT
ejpam-173	253	7	2	2	NUM
ejpam-173	253	8	(	(	PUNCT
ejpam-173	253	9	2009	2009	NUM
ejpam-173	253	10	)	)	PUNCT
ejpam-173	253	11	,	,	PUNCT
ejpam-173	253	12	(	(	PUNCT
ejpam-173	253	13	97	97	NUM
ejpam-173	253	14	-	-	SYM
ejpam-173	253	15	111	111	NUM
ejpam-173	253	16	)	)	PUNCT
ejpam-173	253	17	109	109	NUM
ejpam-173	253	18	a1	a1	NOUN
ejpam-173	253	19	ai	ai	NOUN
ejpam-173	253	20	,	,	PUNCT
ejpam-173	253	21	i	i	PRON
ejpam-173	253	22	=	=	NOUN
ejpam-173	253	23	2,3	2,3	NUM
ejpam-173	253	24	,	,	PUNCT
ejpam-173	253	25	...	...	PUNCT
ejpam-173	253	26	decision	decision	NOUN
ejpam-173	253	27	0.5	0.5	NUM
ejpam-173	253	28	a2	a2	NOUN
ejpam-173	253	29	=	=	SYM
ejpam-173	253	30	7.389	7.389	NUM
ejpam-173	253	31	6	6	NUM
ejpam-173	253	32	a3	a3	NOUN
ejpam-173	253	33	=	=	SYM
ejpam-173	253	34	−1.243	−1.243	PROPN
ejpam-173	253	35	5	5	NUM
ejpam-173	253	36	a2	a2	PROPN
ejpam-173	253	37	>	>	X
ejpam-173	253	38	a1	a1	NOUN
ejpam-173	253	39	a3	a3	NOUN
ejpam-173	253	40	<	<	X
ejpam-173	253	41	a2	a2	PROPN
ejpam-173	253	42	(	(	PUNCT
ejpam-173	253	43	stop	stop	VERB
ejpam-173	253	44	,	,	PUNCT
ejpam-173	253	45	reject	reject	VERB
ejpam-173	253	46	the	the	DET
ejpam-173	253	47	value	value	NOUN
ejpam-173	253	48	of	of	ADP
ejpam-173	253	49	a1	a1	NOUN
ejpam-173	253	50	=	=	NOUN
ejpam-173	253	51	0.5	0.5	NUM
ejpam-173	253	52	)	)	PUNCT
ejpam-173	253	53	0.6	0.6	NUM
ejpam-173	253	54	a2	a2	NOUN
ejpam-173	253	55	=	=	NOUN
ejpam-173	253	56	7.196	7.196	NUM
ejpam-173	253	57	4	4	NUM
ejpam-173	253	58	a3	a3	NOUN
ejpam-173	253	59	=	=	NOUN
ejpam-173	254	1	−1.087	−1.087	PROPN
ejpam-173	254	2	9	9	NUM
ejpam-173	254	3	a2	a2	PROPN
ejpam-173	254	4	>	>	X
ejpam-173	254	5	a1	a1	NOUN
ejpam-173	254	6	a3	a3	NOUN
ejpam-173	254	7	<	<	X
ejpam-173	254	8	a2	a2	PROPN
ejpam-173	254	9	(	(	PUNCT
ejpam-173	254	10	stop	stop	VERB
ejpam-173	254	11	,	,	PUNCT
ejpam-173	254	12	reject	reject	VERB
ejpam-173	254	13	the	the	DET
ejpam-173	254	14	value	value	NOUN
ejpam-173	254	15	of	of	ADP
ejpam-173	254	16	a1	a1	NOUN
ejpam-173	254	17	=	=	X
ejpam-173	254	18	0.6	0.6	NUM
ejpam-173	254	19	)	)	PUNCT
ejpam-173	254	20	0.7	0.7	NUM
ejpam-173	254	21	a2	a2	NOUN
ejpam-173	254	22	=	=	SYM
ejpam-173	254	23	7.035	7.035	NUM
ejpam-173	254	24	8	8	NUM
ejpam-173	254	25	a3	a3	NOUN
ejpam-173	254	26	=	=	SYM
ejpam-173	254	27	−0.947	−0.947	NOUN
ejpam-173	254	28	42	42	NUM
ejpam-173	254	29	a2	a2	PROPN
ejpam-173	254	30	>	>	X
ejpam-173	254	31	a1	a1	NOUN
ejpam-173	254	32	a3	a3	NOUN
ejpam-173	254	33	<	<	X
ejpam-173	254	34	a2	a2	PROPN
ejpam-173	254	35	(	(	PUNCT
ejpam-173	254	36	stop	stop	VERB
ejpam-173	254	37	,	,	PUNCT
ejpam-173	254	38	reject	reject	VERB
ejpam-173	254	39	the	the	DET
ejpam-173	254	40	value	value	NOUN
ejpam-173	254	41	of	of	ADP
ejpam-173	254	42	a1	a1	NOUN
ejpam-173	254	43	=	=	NOUN
ejpam-173	254	44	0.7	0.7	NUM
ejpam-173	254	45	)	)	PUNCT
ejpam-173	254	46	0.8	0.8	NUM
ejpam-173	254	47	a2	a2	NOUN
ejpam-173	254	48	=	=	PUNCT
ejpam-173	254	49	6.899	6.899	NUM
ejpam-173	254	50	5	5	NUM
ejpam-173	254	51	a3	a3	NOUN
ejpam-173	254	52	=	=	PUNCT
ejpam-173	254	53	−0.818	−0.818	ADP
ejpam-173	254	54	71	71	NUM
ejpam-173	254	55	a2	a2	PROPN
ejpam-173	254	56	>	>	X
ejpam-173	254	57	a1	a1	NOUN
ejpam-173	254	58	a3	a3	NOUN
ejpam-173	254	59	<	<	X
ejpam-173	254	60	a2	a2	PROPN
ejpam-173	254	61	(	(	PUNCT
ejpam-173	254	62	stop	stop	VERB
ejpam-173	254	63	,	,	PUNCT
ejpam-173	254	64	reject	reject	VERB
ejpam-173	254	65	the	the	DET
ejpam-173	254	66	value	value	NOUN
ejpam-173	254	67	of	of	ADP
ejpam-173	254	68	a1	a1	NOUN
ejpam-173	254	69	=	=	PUNCT
ejpam-173	254	70	0.8	0.8	NUM
ejpam-173	254	71	)	)	PUNCT
ejpam-173	254	72	0.9	0.9	NUM
ejpam-173	254	73	a2	a2	NOUN
ejpam-173	254	74	=	=	SYM
ejpam-173	254	75	1.8	1.8	NUM
ejpam-173	254	76	a3	a3	NOUN
ejpam-173	254	77	=	=	PUNCT
ejpam-173	254	78	2.458	2.458	NUM
ejpam-173	254	79	8	8	NUM
ejpam-173	254	80	a4	a4	NOUN
ejpam-173	254	81	=	=	SYM
ejpam-173	254	82	7.756	7.756	NUM
ejpam-173	254	83	3	3	NUM
ejpam-173	254	84	a5	a5	NOUN
ejpam-173	254	85	=	=	PUNCT
ejpam-173	254	86	1.824	1.824	NUM
ejpam-173	254	87	7	7	NUM
ejpam-173	254	88	a2	a2	PROPN
ejpam-173	254	89	>	>	X
ejpam-173	254	90	a1	a1	NOUN
ejpam-173	254	91	a3	a3	NOUN
ejpam-173	254	92	>	>	X
ejpam-173	254	93	a2	a2	PROPN
ejpam-173	254	94	a4	a4	PROPN
ejpam-173	254	95	>	>	X
ejpam-173	254	96	a3	a3	NOUN
ejpam-173	254	97	a5	a5	PROPN
ejpam-173	254	98	<	<	X
ejpam-173	254	99	a4	a4	NOUN
ejpam-173	254	100	(	(	PUNCT
ejpam-173	254	101	stop	stop	VERB
ejpam-173	254	102	,	,	PUNCT
ejpam-173	254	103	reject	reject	VERB
ejpam-173	254	104	the	the	DET
ejpam-173	254	105	value	value	NOUN
ejpam-173	254	106	of	of	ADP
ejpam-173	254	107	a1	a1	NOUN
ejpam-173	254	108	=	=	NOUN
ejpam-173	254	109	0.9	0.9	NUM
ejpam-173	254	110	)	)	PUNCT
ejpam-173	254	111	1	1	NUM
ejpam-173	254	112	a2	a2	PROPN
ejpam-173	254	113	=	=	SYM
ejpam-173	254	114	2.0	2.0	NUM
ejpam-173	254	115	a3	a3	NOUN
ejpam-173	254	116	=	=	PUNCT
ejpam-173	254	117	8.405	8.405	NUM
ejpam-173	254	118	5	5	NUM
ejpam-173	254	119	a4	a4	NOUN
ejpam-173	254	120	=	=	SYM
ejpam-173	254	121	1.504	1.504	NUM
ejpam-173	254	122	4	4	NUM
ejpam-173	254	123	a2	a2	PROPN
ejpam-173	254	124	>	>	X
ejpam-173	254	125	a1	a1	NOUN
ejpam-173	254	126	a3	a3	NOUN
ejpam-173	254	127	>	>	X
ejpam-173	254	128	a2	a2	PROPN
ejpam-173	254	129	a4	a4	PROPN
ejpam-173	254	130	<	<	X
ejpam-173	254	131	a3	a3	NOUN
ejpam-173	254	132	(	(	PUNCT
ejpam-173	254	133	stop	stop	VERB
ejpam-173	254	134	,	,	PUNCT
ejpam-173	254	135	reject	reject	VERB
ejpam-173	254	136	the	the	DET
ejpam-173	254	137	value	value	NOUN
ejpam-173	254	138	of	of	ADP
ejpam-173	254	139	a1	a1	NOUN
ejpam-173	254	140	=	=	SYM
ejpam-173	254	141	1	1	NUM
ejpam-173	254	142	)	)	PUNCT
ejpam-173	254	143	table	table	NOUN
ejpam-173	254	144	i	i	PRON
ejpam-173	254	145	since	since	SCONJ
ejpam-173	254	146	vi	vi	NOUN
ejpam-173	254	147	=	=	SYM
ejpam-173	254	148	ωi	ωi	PUNCT
ejpam-173	254	149	ri	ri	NOUN
ejpam-173	255	1	and	and	CCONJ
ejpam-173	255	2	we	we	PRON
ejpam-173	255	3	can	can	AUX
ejpam-173	255	4	obtain	obtain	VERB
ejpam-173	255	5	from	from	ADP
ejpam-173	255	6	(	(	PUNCT
ejpam-173	255	7	4	4	X
ejpam-173	255	8	)	)	PUNCT
ejpam-173	255	9	the	the	DET
ejpam-173	255	10	optimal	optimal	ADJ
ejpam-173	255	11	redius	redius	ADJ
ejpam-173	255	12	ri	ri	NOUN
ejpam-173	255	13	and	and	CCONJ
ejpam-173	255	14	the	the	DET
ejpam-173	255	15	speed	speed	NOUN
ejpam-173	255	16	vi	vi	NOUN
ejpam-173	255	17	is	be	AUX
ejpam-173	255	18	"	"	PUNCT
ejpam-173	255	19	regular	regular	ADJ
ejpam-173	255	20	speed	speed	NOUN
ejpam-173	255	21	"	"	PUNCT
ejpam-173	255	22	on	on	ADP
ejpam-173	255	23	any	any	DET
ejpam-173	255	24	circle	circle	NOUN
ejpam-173	255	25	so	so	SCONJ
ejpam-173	255	26	if	if	SCONJ
ejpam-173	255	27	we	we	PRON
ejpam-173	255	28	take	take	VERB
ejpam-173	255	29	vi	vi	NOUN
ejpam-173	255	30	=	=	SYM
ejpam-173	255	31	v3	v3	PROPN
ejpam-173	255	32	=	=	SYM
ejpam-173	255	33	constant	constant	ADJ
ejpam-173	255	34	,	,	PUNCT
ejpam-173	255	35	we	we	PRON
ejpam-173	255	36	can	can	AUX
ejpam-173	255	37	obtain	obtain	VERB
ejpam-173	255	38	the	the	DET
ejpam-173	255	39	optimal	optimal	ADJ
ejpam-173	255	40	"	"	PUNCT
ejpam-173	255	41	angular	angular	ADJ
ejpam-173	255	42	velocity	velocity	NOUN
ejpam-173	255	43	"	"	PUNCT
ejpam-173	255	44	in	in	ADP
ejpam-173	255	45	any	any	DET
ejpam-173	255	46	circle	circle	NOUN
ejpam-173	255	47	from	from	ADP
ejpam-173	255	48	ωi	ωi	PROPN
ejpam-173	255	49	=	=	PROPN
ejpam-173	255	50	v3	v3	PROPN
ejpam-173	255	51	ri	ri	PROPN
ejpam-173	255	52	,	,	PUNCT
ejpam-173	255	53	i	i	PRON
ejpam-173	255	54	=	=	NOUN
ejpam-173	255	55	1,2,3	1,2,3	NUM
ejpam-173	255	56	,	,	PUNCT
ejpam-173	255	57	....	....	PUNCT
ejpam-173	255	58	special	special	ADJ
ejpam-173	255	59	case	case	NOUN
ejpam-173	255	60	if	if	SCONJ
ejpam-173	255	61	the	the	DET
ejpam-173	255	62	width	width	NOUN
ejpam-173	255	63	is	be	AUX
ejpam-173	255	64	fixed	fix	VERB
ejpam-173	255	65	(	(	PUNCT
ejpam-173	255	66	i.e.	i.e.	X
ejpam-173	255	67	ai	ai	VERB
ejpam-173	255	68	−	−	PROPN
ejpam-173	255	69	ai−1	ai−1	PROPN
ejpam-173	255	70	=	=	PUNCT
ejpam-173	255	71	a	a	X
ejpam-173	255	72	)	)	PUNCT
ejpam-173	255	73	,	,	PUNCT
ejpam-173	255	74	then	then	ADV
ejpam-173	255	75	a1	a1	NOUN
ejpam-173	255	76	=	=	SYM
ejpam-173	255	77	a	a	PROPN
ejpam-173	255	78	,	,	PUNCT
ejpam-173	255	79	a2	a2	PROPN
ejpam-173	255	80	=	=	SYM
ejpam-173	255	81	2a	2a	NUM
ejpam-173	255	82	,	,	PUNCT
ejpam-173	255	83	a3	a3	NOUN
ejpam-173	255	84	=	=	SYM
ejpam-173	255	85	3a	3a	NUM
ejpam-173	255	86	,	,	PUNCT
ejpam-173	255	87	...	...	PUNCT
ejpam-173	255	88	,	,	PUNCT
ejpam-173	255	89	in	in	ADP
ejpam-173	255	90	(	(	PUNCT
ejpam-173	255	91	1	1	X
ejpam-173	255	92	)	)	PUNCT
ejpam-173	255	93	we	we	PRON
ejpam-173	255	94	get	get	VERB
ejpam-173	255	95	:	:	PUNCT
ejpam-173	255	96	e(t(φ	e(t(φ	PROPN
ejpam-173	255	97	)	)	PUNCT
ejpam-173	255	98	)	)	PUNCT
ejpam-173	256	1	=	=	PUNCT
ejpam-173	257	1	∞	∞	NUM
ejpam-173	257	2	∑	∑	PUNCT
ejpam-173	257	3	i=1	i=1	PROPN
ejpam-173	257	4			PROPN
ejpam-173	257	5			ADJ
ejpam-173	257	6			ADJ
ejpam-173	257	7			NUM
ejpam-173	257	8	�	�	PROPN
ejpam-173	257	9	4ia+	4ia+	NUM
ejpam-173	257	10	2π	2π	NOUN
ejpam-173	257	11	ωi	ωi	PUNCT
ejpam-173	257	12	�	�	PROPN
ejpam-173	257	13	∞	∞	PROPN
ejpam-173	257	14	∑	∑	PROPN
ejpam-173	257	15	s	s	PROPN
ejpam-173	257	16	=	=	PROPN
ejpam-173	257	17	i	i	PROPN
ejpam-173	257	18	n	n	VERB
ejpam-173	257	19	∑	∑	PUNCT
ejpam-173	257	20	k=1	k=1	PROPN
ejpam-173	257	21	sa	sa	PROPN
ejpam-173	257	22	∫	∫	PROPN
ejpam-173	258	1	(	(	PUNCT
ejpam-173	258	2	s−1)a	s−1)a	NOUN
ejpam-173	258	3	θ	θ	PROPN
ejpam-173	258	4	k	k	NOUN
ejpam-173	258	5	∫	∫	PROPN
ejpam-173	259	1	θ	θ	PROPN
ejpam-173	259	2	k−1	k−1	PROPN
ejpam-173	259	3	g(r	g(r	PROPN
ejpam-173	259	4	cosθ	cosθ	PROPN
ejpam-173	259	5	,	,	PUNCT
ejpam-173	259	6	r	r	PROPN
ejpam-173	259	7	sinθ)rd	sinθ)rd	PROPN
ejpam-173	259	8	rdθ	rdθ	VERB
ejpam-173	259	9			PROPN
ejpam-173	259	10			PROPN
ejpam-173	259	11			PROPN
ejpam-173	259	12			PROPN
ejpam-173	259	13	,	,	PUNCT
ejpam-173	259	14	(	(	PUNCT
ejpam-173	259	15	5	5	NUM
ejpam-173	259	16	)	)	PUNCT
ejpam-173	259	17	then	then	ADV
ejpam-173	259	18	if	if	SCONJ
ejpam-173	259	19	the	the	DET
ejpam-173	259	20	target	target	NOUN
ejpam-173	259	21	has	have	VERB
ejpam-173	259	22	circular	circular	ADJ
ejpam-173	259	23	normal	normal	ADJ
ejpam-173	259	24	distribution	distribution	NOUN
ejpam-173	259	25	with	with	ADP
ejpam-173	259	26	joint	joint	ADJ
ejpam-173	259	27	continuous	continuous	ADJ
ejpam-173	259	28	distribution	distribution	NOUN
ejpam-173	259	29	function	function	NOUN
ejpam-173	259	30	f(x	f(x	PROPN
ejpam-173	259	31	,	,	PUNCT
ejpam-173	259	32	y	y	PROPN
ejpam-173	259	33	)	)	PUNCT
ejpam-173	259	34	and	and	CCONJ
ejpam-173	259	35	joint	joint	ADJ
ejpam-173	259	36	density	density	NOUN
ejpam-173	259	37	function	function	NOUN
ejpam-173	259	38	f	f	PROPN
ejpam-173	259	39	(	(	PUNCT
ejpam-173	259	40	x	x	INTJ
ejpam-173	259	41	,	,	PUNCT
ejpam-173	259	42	y	y	PROPN
ejpam-173	259	43	)	)	PUNCT
ejpam-173	259	44	as	as	ADP
ejpam-173	259	45	in	in	ADP
ejpam-173	259	46	(	(	PUNCT
ejpam-173	259	47	3	3	NUM
ejpam-173	259	48	)	)	PUNCT
ejpam-173	259	49	.	.	PUNCT
ejpam-173	260	1	if	if	SCONJ
ejpam-173	260	2	φ	φ	PROPN
ejpam-173	260	3	is	be	AUX
ejpam-173	260	4	an	an	DET
ejpam-173	260	5	optimal	optimal	ADJ
ejpam-173	260	6	search	search	NOUN
ejpam-173	260	7	plan	plan	NOUN
ejpam-173	260	8	,	,	PUNCT
ejpam-173	260	9	then	then	ADV
ejpam-173	260	10	in	in	ADP
ejpam-173	260	11	(	(	PUNCT
ejpam-173	260	12	5	5	X
ejpam-173	260	13	)	)	PUNCT
ejpam-173	260	14	we	we	PRON
ejpam-173	260	15	get	get	VERB
ejpam-173	260	16	:	:	PUNCT
ejpam-173	260	17	references	reference	NOUN
ejpam-173	260	18	110	110	NUM
ejpam-173	260	19	e(t(φ	e(t(φ	NOUN
ejpam-173	260	20	)	)	PUNCT
ejpam-173	260	21	)	)	PUNCT
ejpam-173	261	1	=	=	SYM
ejpam-173	262	1	∞	∞	NUM
ejpam-173	262	2	∑	∑	PUNCT
ejpam-173	262	3	i=1	i=1	PROPN
ejpam-173	262	4			PROPN
ejpam-173	262	5			ADJ
ejpam-173	262	6			ADJ
ejpam-173	262	7			NUM
ejpam-173	262	8	�	�	PROPN
ejpam-173	262	9	4ia+	4ia+	NUM
ejpam-173	262	10	2π	2π	PROPN
ejpam-173	262	11	ωi	ωi	PROPN
ejpam-173	262	12	�	�	PROPN
ejpam-173	262	13	�	�	PROPN
ejpam-173	262	14	nθ(−σ2	nθ(−σ2	PROPN
ejpam-173	262	15	)	)	PUNCT
ejpam-173	262	16	2πσ2	2πσ2	NUM
ejpam-173	262	17	�	�	PROPN
ejpam-173	262	18	∞	∞	PROPN
ejpam-173	262	19	∑	∑	PROPN
ejpam-173	262	20	s	s	PROPN
ejpam-173	262	21	=	=	VERB
ejpam-173	262	22	i	i	PROPN
ejpam-173	262	23	sa	sa	PROPN
ejpam-173	262	24	∫	∫	PROPN
ejpam-173	262	25	(	(	PUNCT
ejpam-173	262	26	s−1)a	s−1)a	VERB
ejpam-173	262	27	exp	exp	NOUN
ejpam-173	262	28	�	�	PROPN
ejpam-173	262	29	−r2	−r2	PROPN
ejpam-173	262	30	2σ2	2σ2	NUM
ejpam-173	262	31	�	�	PROPN
ejpam-173	262	32	d	d	ADP
ejpam-173	262	33	�	�	PROPN
ejpam-173	262	34	−r2	−r2	PROPN
ejpam-173	262	35	2σ2	2σ2	NUM
ejpam-173	262	36	�	�	PROPN
ejpam-173	262	37			PROPN
ejpam-173	262	38			PROPN
ejpam-173	262	39			PROPN
ejpam-173	262	40			PROPN
ejpam-173	262	41	=	=	SYM
ejpam-173	262	42	−	−	PROPN
ejpam-173	262	43	nθ	nθ	ADJ
ejpam-173	262	44	2π	2π	PROPN
ejpam-173	262	45			VERB
ejpam-173	262	46			NUM
ejpam-173	262	47	∞	∞	NUM
ejpam-173	262	48	∑	∑	PROPN
ejpam-173	262	49	i=1	i=1	PROPN
ejpam-173	262	50	�	�	PROPN
ejpam-173	262	51	4ia+	4ia+	NUM
ejpam-173	262	52	2π	2π	NOUN
ejpam-173	262	53	ωi	ωi	PROPN
ejpam-173	262	54	�	�	PROPN
ejpam-173	262	55	.	.	PUNCT
ejpam-173	263	1	∞	∞	PROPN
ejpam-173	263	2	∑	∑	PUNCT
ejpam-173	263	3	s	s	PROPN
ejpam-173	263	4	=	=	VERB
ejpam-173	263	5	i	i	PROPN
ejpam-173	263	6	�	�	PROPN
ejpam-173	263	7	exp	exp	X
ejpam-173	263	8	�	�	PROPN
ejpam-173	263	9	−s2a2	−s2a2	PROPN
ejpam-173	263	10	2σ2	2σ2	NUM
ejpam-173	263	11	�	�	PROPN
ejpam-173	263	12	−	−	PROPN
ejpam-173	263	13	exp	exp	NOUN
ejpam-173	263	14	�	�	PROPN
ejpam-173	263	15	−(s−1)2a2	−(s−1)2a2	PROPN
ejpam-173	263	16	2σ2	2σ2	NUM
ejpam-173	263	17	�	�	PROPN
ejpam-173	263	18	�	�	PROPN
ejpam-173	263	19			PROPN
ejpam-173	263	20			PROPN
ejpam-173	263	21	then	then	ADV
ejpam-173	263	22	∂	∂	NUM
ejpam-173	263	23	e(t(φ	e(t(φ	PROPN
ejpam-173	263	24	)	)	PUNCT
ejpam-173	263	25	)	)	PUNCT
ejpam-173	263	26	∂	∂	PUNCT
ejpam-173	264	1	a	a	DET
ejpam-173	264	2	=	=	X
ejpam-173	264	3	�	�	PROPN
ejpam-173	264	4	−	−	ADP
ejpam-173	264	5	nθ	nθ	ADP
ejpam-173	264	6	2π	2π	PROPN
ejpam-173	264	7	�	�	PROPN
ejpam-173	264	8			PROPN
ejpam-173	264	9			NUM
ejpam-173	264	10	∞	∞	NUM
ejpam-173	264	11	∑	∑	PROPN
ejpam-173	264	12	i=1	i=1	PROPN
ejpam-173	264	13	∂	∂	NOUN
ejpam-173	264	14	∂	∂	NOUN
ejpam-173	264	15	a	a	DET
ejpam-173	264	16	�	�	PROPN
ejpam-173	264	17	4ia+	4ia+	NUM
ejpam-173	264	18	2π	2π	NOUN
ejpam-173	264	19	ωi	ωi	PUNCT
ejpam-173	264	20	�	�	PROPN
ejpam-173	264	21			PROPN
ejpam-173	264	22			PROPN
ejpam-173	264	23	.	.	PUNCT
ejpam-173	265	1			PROPN
ejpam-173	265	2			NUM
ejpam-173	265	3	∞	∞	NUM
ejpam-173	265	4	∑	∑	PUNCT
ejpam-173	265	5	s	s	PROPN
ejpam-173	265	6	=	=	VERB
ejpam-173	265	7	i	i	PROPN
ejpam-173	265	8	�	�	PROPN
ejpam-173	265	9	exp	exp	X
ejpam-173	265	10	�	�	PROPN
ejpam-173	265	11	−s2a2	−s2a2	PROPN
ejpam-173	265	12	2σ2	2σ2	NUM
ejpam-173	265	13	�	�	PROPN
ejpam-173	265	14	−	−	PROPN
ejpam-173	265	15	exp	exp	NOUN
ejpam-173	265	16	�	�	PROPN
ejpam-173	265	17	−(s−1)2a2	−(s−1)2a2	PROPN
ejpam-173	265	18	2σ2	2σ2	NUM
ejpam-173	265	19	�	�	PROPN
ejpam-173	265	20	�	�	PROPN
ejpam-173	265	21			PROPN
ejpam-173	265	22			PROPN
ejpam-173	265	23	+	+	NUM
ejpam-173	265	24	�	�	PROPN
ejpam-173	265	25	−	−	ADP
ejpam-173	265	26	nθ	nθ	ADJ
ejpam-173	265	27	2π	2π	PROPN
ejpam-173	265	28	�	�	PROPN
ejpam-173	265	29			PROPN
ejpam-173	265	30			NUM
ejpam-173	265	31	∞	∞	NUM
ejpam-173	265	32	∑	∑	PROPN
ejpam-173	265	33	i=1	i=1	PROPN
ejpam-173	265	34	�	�	PROPN
ejpam-173	265	35	4ia+	4ia+	NUM
ejpam-173	265	36	2π	2π	NOUN
ejpam-173	265	37	ωi	ωi	PUNCT
ejpam-173	265	38	�	�	PROPN
ejpam-173	265	39			PROPN
ejpam-173	265	40			PROPN
ejpam-173	265	41	.	.	PUNCT
ejpam-173	266	1			PROPN
ejpam-173	266	2			NUM
ejpam-173	266	3	∞	∞	NUM
ejpam-173	266	4	∑	∑	PUNCT
ejpam-173	266	5	s	s	PROPN
ejpam-173	266	6	=	=	PROPN
ejpam-173	266	7	i	i	PROPN
ejpam-173	266	8	∂	∂	NOUN
ejpam-173	266	9	∂	∂	NUM
ejpam-173	266	10	a	a	DET
ejpam-173	266	11	�	�	PROPN
ejpam-173	266	12	exp	exp	NOUN
ejpam-173	266	13	�	�	PROPN
ejpam-173	266	14	−s2a2	−s2a2	PROPN
ejpam-173	266	15	2σ2	2σ2	NUM
ejpam-173	266	16	�	�	PROPN
ejpam-173	266	17	−	−	PROPN
ejpam-173	266	18	exp	exp	NOUN
ejpam-173	266	19	�	�	PROPN
ejpam-173	266	20	−(s−1)2a2	−(s−1)2a2	PROPN
ejpam-173	266	21	2σ2	2σ2	NUM
ejpam-173	266	22	�	�	PROPN
ejpam-173	266	23	�	�	PROPN
ejpam-173	266	24			PROPN
ejpam-173	266	25			PROPN
ejpam-173	266	26	and	and	CCONJ
ejpam-173	266	27	∂	∂	NUM
ejpam-173	266	28	2e(t(φ	2e(t(φ	NUM
ejpam-173	266	29	)	)	PUNCT
ejpam-173	266	30	)	)	PUNCT
ejpam-173	266	31	∂	∂	NUM
ejpam-173	267	1	a∂ωi	a∂ωi	NOUN
ejpam-173	267	2	=	=	SYM
ejpam-173	267	3	�	�	PROPN
ejpam-173	267	4	−	−	ADP
ejpam-173	267	5	nθ	nθ	ADJ
ejpam-173	267	6	2π	2π	PROPN
ejpam-173	267	7	�	�	PROPN
ejpam-173	267	8			PROPN
ejpam-173	267	9			NUM
ejpam-173	267	10	∞	∞	NUM
ejpam-173	267	11	∑	∑	PROPN
ejpam-173	267	12	i=1	i=1	PROPN
ejpam-173	267	13	−2π	−2π	PROPN
ejpam-173	268	1	ω2	ω2	PROPN
ejpam-173	268	2	i	i	PRON
ejpam-173	268	3			PROPN
ejpam-173	268	4			PROPN
ejpam-173	268	5	.	.	PUNCT
ejpam-173	269	1			PROPN
ejpam-173	269	2			NUM
ejpam-173	269	3	∞	∞	NUM
ejpam-173	269	4	∑	∑	PUNCT
ejpam-173	269	5	s	s	PROPN
ejpam-173	269	6	=	=	VERB
ejpam-173	269	7	i	i	PROPN
ejpam-173	269	8	�	�	PROPN
ejpam-173	269	9	a(s−1)2	a(s−1)2	PROPN
ejpam-173	269	10	σ2	σ2	PROPN
ejpam-173	269	11	exp	exp	PRON
ejpam-173	269	12	�	�	PROPN
ejpam-173	269	13	−(s−1)2a2	−(s−1)2a2	PROPN
ejpam-173	269	14	2σ2	2σ2	NUM
ejpam-173	269	15	�	�	PROPN
ejpam-173	269	16	−	−	PROPN
ejpam-173	269	17	as2	as2	PROPN
ejpam-173	269	18	σ2	σ2	PROPN
ejpam-173	269	19	exp	exp	PRON
ejpam-173	269	20	�	�	PROPN
ejpam-173	269	21	−s2a2	−s2a2	PROPN
ejpam-173	269	22	2σ2	2σ2	NUM
ejpam-173	269	23	�	�	PROPN
ejpam-173	269	24	�	�	PROPN
ejpam-173	269	25			PROPN
ejpam-173	269	26			PROPN
ejpam-173	269	27	=	=	SYM
ejpam-173	269	28	0	0	NUM
ejpam-173	269	29	which	which	PRON
ejpam-173	269	30	leads	lead	VERB
ejpam-173	269	31	to	to	ADP
ejpam-173	269	32			PROPN
ejpam-173	269	33			NUM
ejpam-173	269	34	∞	∞	NUM
ejpam-173	269	35	∑	∑	PROPN
ejpam-173	269	36	i=1	i=1	PROPN
ejpam-173	269	37	1	1	NUM
ejpam-173	269	38	ω2	ω2	NOUN
ejpam-173	269	39	i	i	PRON
ejpam-173	269	40			PROPN
ejpam-173	269	41			PROPN
ejpam-173	269	42	.	.	PUNCT
ejpam-173	270	1			PROPN
ejpam-173	270	2			NUM
ejpam-173	270	3	∞	∞	NUM
ejpam-173	270	4	∑	∑	PUNCT
ejpam-173	270	5	s	s	PROPN
ejpam-173	270	6	=	=	VERB
ejpam-173	270	7	i	i	PROPN
ejpam-173	270	8	�	�	PROPN
ejpam-173	270	9	a(s−1)2	a(s−1)2	PROPN
ejpam-173	270	10	σ2	σ2	PROPN
ejpam-173	270	11	exp	exp	PRON
ejpam-173	270	12	�	�	PROPN
ejpam-173	270	13	−(s−1)2a2	−(s−1)2a2	PROPN
ejpam-173	270	14	2σ2	2σ2	NUM
ejpam-173	270	15	�	�	PROPN
ejpam-173	270	16	−	−	PROPN
ejpam-173	270	17	as2	as2	PROPN
ejpam-173	270	18	σ2	σ2	PROPN
ejpam-173	270	19	exp	exp	PRON
ejpam-173	270	20	�	�	PROPN
ejpam-173	270	21	−s2a2	−s2a2	PROPN
ejpam-173	270	22	2σ2	2σ2	NUM
ejpam-173	270	23	�	�	PROPN
ejpam-173	270	24	�	�	PROPN
ejpam-173	270	25			PROPN
ejpam-173	270	26			PROPN
ejpam-173	270	27	=	=	SYM
ejpam-173	270	28	0	0	NUM
ejpam-173	270	29	(	(	PUNCT
ejpam-173	270	30	6	6	NUM
ejpam-173	270	31	)	)	PUNCT
ejpam-173	270	32	by	by	ADP
ejpam-173	270	33	solving	solve	VERB
ejpam-173	270	34	(	(	PUNCT
ejpam-173	270	35	6	6	NUM
ejpam-173	270	36	)	)	PUNCT
ejpam-173	270	37	we	we	PRON
ejpam-173	270	38	can	can	AUX
ejpam-173	270	39	determine	determine	VERB
ejpam-173	270	40	the	the	DET
ejpam-173	270	41	optimal	optimal	ADJ
ejpam-173	270	42	value	value	NOUN
ejpam-173	270	43	of	of	ADP
ejpam-173	270	44	a	a	PRON
ejpam-173	270	45	,	,	PUNCT
ejpam-173	270	46	and	and	CCONJ
ejpam-173	270	47	substuting	substute	VERB
ejpam-173	270	48	in	in	ADP
ejpam-173	270	49	(	(	PUNCT
ejpam-173	270	50	5	5	NUM
ejpam-173	270	51	)	)	PUNCT
ejpam-173	270	52	,	,	PUNCT
ejpam-173	270	53	we	we	PRON
ejpam-173	270	54	can	can	AUX
ejpam-173	270	55	minimize	minimize	VERB
ejpam-173	270	56	the	the	DET
ejpam-173	270	57	expected	expect	VERB
ejpam-173	270	58	value	value	NOUN
ejpam-173	270	59	of	of	ADP
ejpam-173	270	60	the	the	DET
ejpam-173	270	61	time	time	NOUN
ejpam-173	270	62	for	for	ADP
ejpam-173	270	63	detecting	detect	VERB
ejpam-173	270	64	the	the	DET
ejpam-173	270	65	target	target	NOUN
ejpam-173	270	66	.	.	PUNCT
ejpam-173	271	1	acknowledgements	acknowledgement	NOUN
ejpam-173	271	2	.	.	PUNCT
ejpam-173	272	1	the	the	DET
ejpam-173	272	2	authores	authore	NOUN
ejpam-173	272	3	wish	wish	VERB
ejpam-173	272	4	to	to	PART
ejpam-173	272	5	thank	thank	VERB
ejpam-173	272	6	the	the	DET
ejpam-173	272	7	departement	departement	NOUN
ejpam-173	272	8	of	of	ADP
ejpam-173	272	9	mathematices	mathematice	NOUN
ejpam-173	272	10	in	in	ADP
ejpam-173	272	11	the	the	DET
ejpam-173	272	12	faculty	faculty	NOUN
ejpam-173	272	13	of	of	ADP
ejpam-173	272	14	science	science	PROPN
ejpam-173	272	15	,	,	PUNCT
ejpam-173	272	16	tanta	tanta	PROPN
ejpam-173	272	17	university	university	PROPN
ejpam-173	272	18	,	,	PUNCT
ejpam-173	272	19	egypt	egypt	PROPN
ejpam-173	272	20	.	.	PUNCT
ejpam-173	273	1	references	reference	NOUN
ejpam-173	273	2	[	[	X
ejpam-173	273	3	1	1	NUM
ejpam-173	273	4	]	]	PUNCT
ejpam-173	273	5	a.	a.	PROPN
ejpam-173	273	6	b.	b.	PROPN
ejpam-173	274	1	el	el	PROPN
ejpam-173	274	2	-	-	PUNCT
ejpam-173	274	3	rayes	rayes	PROPN
ejpam-173	274	4	,	,	PUNCT
ejpam-173	274	5	abd	abd	PROPN
ejpam-173	274	6	el	el	PROPN
ejpam-173	274	7	-	-	PUNCT
ejpam-173	274	8	moneim	moneim	PROPN
ejpam-173	274	9	a.	a.	PROPN
ejpam-173	274	10	mohamed	mohamed	PROPN
ejpam-173	274	11	,	,	PUNCT
ejpam-173	274	12	h.	h.	PROPN
ejpam-173	274	13	fergani	fergani	PROPN
ejpam-173	274	14	,	,	PUNCT
ejpam-173	274	15	on	on	ADP
ejpam-173	274	16	the	the	DET
ejpam-173	274	17	generalized	generalize	VERB
ejpam-173	274	18	linear	linear	PROPN
ejpam-173	274	19	search	search	NOUN
ejpam-173	274	20	problem	problem	NOUN
ejpam-173	274	21	,	,	PUNCT
ejpam-173	274	22	delta	delta	NOUN
ejpam-173	274	23	journal	journal	NOUN
ejpam-173	274	24	,	,	PUNCT
ejpam-173	274	25	no	no	INTJ
ejpam-173	274	26	.	.	NOUN
ejpam-173	275	1	6	6	NUM
ejpam-173	275	2	.	.	X
ejpam-173	275	3	second	second	ADJ
ejpam-173	275	4	part	part	NOUN
ejpam-173	275	5	(	(	PUNCT
ejpam-173	275	6	1993	1993	NUM
ejpam-173	275	7	)	)	PUNCT
ejpam-173	275	8	,	,	PUNCT
ejpam-173	275	9	1	1	NUM
ejpam-173	275	10	-	-	SYM
ejpam-173	275	11	10	10	NUM
ejpam-173	275	12	.	.	PUNCT
ejpam-173	276	1	[	[	X
ejpam-173	276	2	2	2	NUM
ejpam-173	276	3	]	]	X
ejpam-173	276	4	abd	abd	PROPN
ejpam-173	276	5	el	el	PROPN
ejpam-173	276	6	-	-	PUNCT
ejpam-173	276	7	moneim	moneim	PROPN
ejpam-173	276	8	a.	a.	PROPN
ejpam-173	276	9	mohamed	mohamed	PROPN
ejpam-173	276	10	,	,	PUNCT
ejpam-173	276	11	hamdy	hamdy	PROPN
ejpam-173	276	12	m.	m.	PROPN
ejpam-173	276	13	abou	abou	PROPN
ejpam-173	276	14	gabal	gabal	PROPN
ejpam-173	276	15	,	,	PUNCT
ejpam-173	276	16	generalized	generalize	VERB
ejpam-173	276	17	optimal	optimal	ADJ
ejpam-173	276	18	search	search	NOUN
ejpam-173	276	19	paths	path	NOUN
ejpam-173	276	20	for	for	ADP
ejpam-173	276	21	a	a	DET
ejpam-173	276	22	randomly	randomly	ADV
ejpam-173	276	23	located	locate	VERB
ejpam-173	276	24	target	target	NOUN
ejpam-173	276	25	,	,	PUNCT
ejpam-173	276	26	in	in	ADP
ejpam-173	276	27	:	:	PUNCT
ejpam-173	276	28	annual	annual	ADJ
ejpam-173	276	29	conference	conference	NOUN
ejpam-173	276	30	,	,	PUNCT
ejpam-173	276	31	cairo	cairo	PROPN
ejpam-173	276	32	issr	issr	PROPN
ejpam-173	276	33	,	,	PUNCT
ejpam-173	276	34	35	35	NUM
ejpam-173	276	35	,	,	PUNCT
ejpam-173	276	36	math	math	NOUN
ejpam-173	276	37	.	.	PUNCT
ejpam-173	277	1	statistics	statistic	NOUN
ejpam-173	277	2	(	(	PUNCT
ejpam-173	277	3	2000	2000	NUM
ejpam-173	277	4	)	)	PUNCT
ejpam-173	277	5	,	,	PUNCT
ejpam-173	277	6	17	17	NUM
ejpam-173	277	7	-	-	SYM
ejpam-173	277	8	19	19	NUM
ejpam-173	277	9	.	.	PUNCT
ejpam-173	277	10	references	reference	NOUN
ejpam-173	277	11	111	111	NUM
ejpam-173	277	12	[	[	X
ejpam-173	277	13	3	3	NUM
ejpam-173	277	14	]	]	X
ejpam-173	277	15	abd	abd	PROPN
ejpam-173	277	16	el	el	PROPN
ejpam-173	277	17	-	-	PUNCT
ejpam-173	277	18	moneim	moneim	PROPN
ejpam-173	277	19	a.	a.	PROPN
ejpam-173	277	20	mohamed	mohamed	PROPN
ejpam-173	277	21	,	,	PUNCT
ejpam-173	277	22	hamdy	hamdy	PROPN
ejpam-173	277	23	m.	m.	PROPN
ejpam-173	277	24	abou	abou	PROPN
ejpam-173	277	25	gabal	gabal	PROPN
ejpam-173	277	26	,	,	PUNCT
ejpam-173	277	27	linear	linear	ADJ
ejpam-173	277	28	search	search	NOUN
ejpam-173	277	29	with	with	ADP
ejpam-173	277	30	multiple	multiple	ADJ
ejpam-173	277	31	searchers	searcher	NOUN
ejpam-173	277	32	for	for	ADP
ejpam-173	277	33	a	a	DET
ejpam-173	277	34	randomly	randomly	ADV
ejpam-173	277	35	moving	move	VERB
ejpam-173	277	36	target	target	NOUN
ejpam-173	277	37	,	,	PUNCT
ejpam-173	277	38	in	in	ADP
ejpam-173	277	39	:	:	PUNCT
ejpam-173	277	40	international	international	ADJ
ejpam-173	277	41	conference	conference	NOUN
ejpam-173	277	42	for	for	ADP
ejpam-173	277	43	statistices	statistice	NOUN
ejpam-173	277	44	,	,	PUNCT
ejpam-173	277	45	computer	computer	NOUN
ejpam-173	277	46	science	science	NOUN
ejpam-173	277	47	and	and	CCONJ
ejpam-173	277	48	its	its	PRON
ejpam-173	277	49	application	application	NOUN
ejpam-173	277	50	,	,	PUNCT
ejpam-173	277	51	egypt	egypt	PROPN
ejpam-173	277	52	(	(	PUNCT
ejpam-173	277	53	2003	2003	NUM
ejpam-173	277	54	)	)	PUNCT
ejpam-173	277	55	,	,	PUNCT
ejpam-173	277	56	115	115	NUM
ejpam-173	277	57	-	-	SYM
ejpam-173	277	58	124	124	NUM
ejpam-173	277	59	.	.	PUNCT
ejpam-173	278	1	[	[	X
ejpam-173	278	2	4	4	X
ejpam-173	278	3	]	]	X
ejpam-173	278	4	abd	abd	PROPN
ejpam-173	278	5	el	el	PROPN
ejpam-173	278	6	-	-	PUNCT
ejpam-173	278	7	moneim	moneim	PROPN
ejpam-173	278	8	a.	a.	PROPN
ejpam-173	278	9	mohamed	mohamed	PROPN
ejpam-173	278	10	,	,	PUNCT
ejpam-173	278	11	hamdy	hamdy	PROPN
ejpam-173	278	12	m.	m.	PROPN
ejpam-173	278	13	abou	abou	PROPN
ejpam-173	278	14	gabal	gabal	PROPN
ejpam-173	278	15	,	,	PUNCT
ejpam-173	278	16	multiplicative	multiplicative	ADJ
ejpam-173	278	17	linear	linear	PROPN
ejpam-173	278	18	search	search	NOUN
ejpam-173	278	19	problem	problem	NOUN
ejpam-173	278	20	,	,	PUNCT
ejpam-173	278	21	egyptian	egyptian	ADJ
ejpam-173	278	22	statistical	statistical	ADJ
ejpam-173	278	23	journal	journal	NOUN
ejpam-173	278	24	,	,	PUNCT
ejpam-173	278	25	48	48	NUM
ejpam-173	278	26	,	,	PUNCT
ejpam-173	278	27	no	no	INTJ
ejpam-173	278	28	.	.	NOUN
ejpam-173	278	29	1	1	NUM
ejpam-173	278	30	(	(	PUNCT
ejpam-173	278	31	2004	2004	NUM
ejpam-173	278	32	)	)	PUNCT
ejpam-173	278	33	,	,	PUNCT
ejpam-173	278	34	34	34	NUM
ejpam-173	278	35	-	-	SYM
ejpam-173	278	36	45	45	NUM
ejpam-173	278	37	.	.	PUNCT
ejpam-173	279	1	[	[	X
ejpam-173	279	2	5	5	X
ejpam-173	279	3	]	]	X
ejpam-173	279	4	diana	diana	PROPN
ejpam-173	279	5	j.	j.	PROPN
ejpam-173	279	6	reyniers	reyniers	PROPN
ejpam-173	279	7	,	,	PUNCT
ejpam-173	279	8	coordinated	coordinate	VERB
ejpam-173	279	9	two	two	NUM
ejpam-173	279	10	searchers	searcher	NOUN
ejpam-173	279	11	for	for	ADP
ejpam-173	279	12	an	an	DET
ejpam-173	279	13	object	object	NOUN
ejpam-173	279	14	hidden	hide	VERB
ejpam-173	279	15	on	on	ADP
ejpam-173	279	16	an	an	DET
ejpam-173	279	17	interval	interval	NOUN
ejpam-173	279	18	,	,	PUNCT
ejpam-173	279	19	journal	journal	NOUN
ejpam-173	279	20	of	of	ADP
ejpam-173	279	21	the	the	DET
ejpam-173	279	22	operational	operational	ADJ
ejpam-173	279	23	research	research	NOUN
ejpam-173	279	24	society	society	NOUN
ejpam-173	279	25	,	,	PUNCT
ejpam-173	279	26	46	46	NUM
ejpam-173	279	27	(	(	PUNCT
ejpam-173	279	28	1995	1995	NUM
ejpam-173	279	29	)	)	PUNCT
ejpam-173	279	30	,	,	PUNCT
ejpam-173	279	31	1386	1386	NUM
ejpam-173	279	32	-	-	SYM
ejpam-173	279	33	1392	1392	NUM
ejpam-173	279	34	.	.	PUNCT
ejpam-173	280	1	[	[	X
ejpam-173	280	2	6	6	NUM
ejpam-173	280	3	]	]	X
ejpam-173	280	4	diana	diana	PROPN
ejpam-173	280	5	j.	j.	PROPN
ejpam-173	280	6	reyniers	reyniers	PROPN
ejpam-173	280	7	,	,	PUNCT
ejpam-173	280	8	coordinated	coordinated	ADJ
ejpam-173	280	9	search	search	NOUN
ejpam-173	280	10	for	for	ADP
ejpam-173	280	11	an	an	DET
ejpam-173	280	12	object	object	NOUN
ejpam-173	280	13	on	on	ADP
ejpam-173	280	14	the	the	DET
ejpam-173	280	15	line	line	NOUN
ejpam-173	280	16	,	,	PUNCT
ejpam-173	280	17	european	european	ADJ
ejpam-173	280	18	journal	journal	NOUN
ejpam-173	280	19	of	of	ADP
ejpam-173	280	20	the	the	DET
ejpam-173	280	21	operational	operational	ADJ
ejpam-173	280	22	research	research	NOUN
ejpam-173	280	23	,	,	PUNCT
ejpam-173	280	24	95	95	NUM
ejpam-173	280	25	(	(	PUNCT
ejpam-173	280	26	1996	1996	NUM
ejpam-173	280	27	)	)	PUNCT
ejpam-173	280	28	,	,	PUNCT
ejpam-173	280	29	663	663	NUM
ejpam-173	280	30	-	-	SYM
ejpam-173	280	31	670	670	NUM
ejpam-173	280	32	.	.	PUNCT
ejpam-173	281	1	[	[	X
ejpam-173	281	2	7	7	X
ejpam-173	281	3	]	]	X
ejpam-173	281	4	abd	abd	PROPN
ejpam-173	281	5	el	el	PROPN
ejpam-173	281	6	-	-	PUNCT
ejpam-173	281	7	moneim	moneim	PROPN
ejpam-173	281	8	a.	a.	NOUN
ejpam-173	281	9	m.	m.	PROPN
ejpam-173	281	10	teamah	teamah	PROPN
ejpam-173	281	11	,	,	PUNCT
ejpam-173	281	12	hamdy	hamdy	PROPN
ejpam-173	281	13	m.	m.	PROPN
ejpam-173	281	14	abou	abou	PROPN
ejpam-173	281	15	gabal	gabal	PROPN
ejpam-173	281	16	and	and	CCONJ
ejpam-173	281	17	w.a	w.a	PROPN
ejpam-173	281	18	.	.	PROPN
ejpam-173	281	19	afifi	afifi	PROPN
ejpam-173	281	20	,	,	PUNCT
ejpam-173	281	21	on	on	ADP
ejpam-173	281	22	the	the	DET
ejpam-173	281	23	coordinated	coordinate	VERB
ejpam-173	281	24	search	search	NOUN
ejpam-173	281	25	problem	problem	NOUN
ejpam-173	281	26	,	,	PUNCT
ejpam-173	281	27	international	international	ADJ
ejpam-173	281	28	journal	journal	NOUN
ejpam-173	281	29	of	of	ADP
ejpam-173	281	30	applied	apply	VERB
ejpam-173	281	31	mathematics	mathematic	NOUN
ejpam-173	281	32	,	,	PUNCT
ejpam-173	281	33	5	5	NUM
ejpam-173	281	34	(	(	PUNCT
ejpam-173	281	35	2007	2007	NUM
ejpam-173	281	36	)	)	PUNCT
ejpam-173	281	37	,	,	PUNCT
ejpam-173	281	38	627	627	NUM
ejpam-173	281	39	-	-	SYM
ejpam-173	281	40	636	636	NUM
ejpam-173	281	41	.	.	PUNCT
ejpam-173	282	1	[	[	X
ejpam-173	282	2	8	8	NUM
ejpam-173	282	3	]	]	X
ejpam-173	282	4	l.d	l.d	NOUN
ejpam-173	282	5	stone	stone	NOUN
ejpam-173	282	6	.	.	PUNCT
ejpam-173	283	1	theory	theory	NOUN
ejpam-173	283	2	of	of	ADP
ejpam-173	283	3	optimal	optimal	ADJ
ejpam-173	283	4	search	search	NOUN
ejpam-173	283	5	,	,	PUNCT
ejpam-173	283	6	volume	volume	NOUN
ejpam-173	283	7	118	118	NUM
ejpam-173	283	8	of	of	ADP
ejpam-173	283	9	mathematics	mathematic	NOUN
ejpam-173	283	10	in	in	ADP
ejpam-173	283	11	science	science	NOUN
ejpam-173	283	12	and	and	CCONJ
ejpam-173	283	13	engineering	engineering	NOUN
ejpam-173	283	14	.	.	PUNCT
ejpam-173	284	1	academic	academic	ADJ
ejpam-173	284	2	press	press	NOUN
ejpam-173	284	3	,	,	PUNCT
ejpam-173	284	4	new	new	PROPN
ejpam-173	284	5	york	york	PROPN
ejpam-173	284	6	,	,	PUNCT
ejpam-173	284	7	1975	1975	NUM
ejpam-173	284	8	.	.	PUNCT
ejpam-173	285	1	[	[	X
ejpam-173	285	2	9	9	NUM
ejpam-173	285	3	]	]	X
ejpam-173	285	4	f.	f.	PROPN
ejpam-173	285	5	bourgault	bourgault	PROPN
ejpam-173	285	6	,	,	PUNCT
ejpam-173	285	7	t.	t.	PROPN
ejpam-173	285	8	furukawa	furukawa	PROPN
ejpam-173	285	9	,	,	PUNCT
ejpam-173	285	10	and	and	CCONJ
ejpam-173	285	11	h.f	h.f	PROPN
ejpam-173	285	12	.	.	PROPN
ejpam-173	285	13	durrant	durrant	PROPN
ejpam-173	285	14	-	-	PUNCT
ejpam-173	285	15	whyte	whyte	PROPN
ejpam-173	285	16	,	,	PUNCT
ejpam-173	285	17	optimal	optimal	ADJ
ejpam-173	285	18	search	search	NOUN
ejpam-173	285	19	for	for	ADP
ejpam-173	285	20	a	a	DET
ejpam-173	285	21	lost	lost	ADJ
ejpam-173	285	22	target	target	NOUN
ejpam-173	285	23	in	in	ADP
ejpam-173	285	24	a	a	DET
ejpam-173	285	25	bayesian	bayesian	NOUN
ejpam-173	285	26	world	world	NOUN
ejpam-173	285	27	.	.	PUNCT
ejpam-173	286	1	s.	s.	PROPN
ejpam-173	286	2	yaut	yaut	PROPN
ejpam-173	286	3	et	et	PROPN
ejpam-173	286	4	al	al	PROPN
ejpam-173	286	5	.	.	PROPN
ejpam-173	287	1	(	(	PUNCT
ejpam-173	287	2	eds.):field	eds.):field	PUNCT
ejpam-173	287	3	and	and	CCONJ
ejpam-173	287	4	service	service	NOUN
ejpam-173	287	5	robotics	robotic	NOUN
ejpam-173	287	6	(	(	PUNCT
ejpam-173	287	7	2006	2006	NUM
ejpam-173	287	8	)	)	PUNCT
ejpam-173	287	9	,	,	PUNCT
ejpam-173	287	10	209	209	NUM
ejpam-173	287	11	-	-	SYM
ejpam-173	287	12	222	222	NUM
ejpam-173	287	13	.	.	PUNCT
ejpam-173	288	1	[	[	X
ejpam-173	288	2	10	10	NUM
ejpam-173	288	3	]	]	X
ejpam-173	288	4	f.	f.	PROPN
ejpam-173	288	5	bourgault	bourgault	PROPN
ejpam-173	288	6	,	,	PUNCT
ejpam-173	288	7	et	et	PROPN
ejpam-173	288	8	al	al	PROPN
ejpam-173	288	9	.	.	PROPN
ejpam-173	288	10	,	,	PUNCT
ejpam-173	288	11	coordinated	coordinate	VERB
ejpam-173	288	12	decentralized	decentralize	VERB
ejpam-173	288	13	search	search	NOUN
ejpam-173	288	14	for	for	ADP
ejpam-173	288	15	a	a	DET
ejpam-173	288	16	lost	lost	ADJ
ejpam-173	288	17	target	target	NOUN
ejpam-173	288	18	in	in	ADP
ejpam-173	288	19	a	a	DET
ejpam-173	288	20	bayesian	bayesian	NOUN
ejpam-173	288	21	world	world	NOUN
ejpam-173	288	22	,	,	PUNCT
ejpam-173	288	23	proc	proc	NOUN
ejpam-173	288	24	.	.	PUNCT
ejpam-173	289	1	ieee	ieee	PROPN
ejpam-173	289	2	/	/	SYM
ejpam-173	289	3	rsj	rsj	NOUN
ejpam-173	289	4	int	int	NOUN
ejpam-173	289	5	.	.	PUNCT
ejpam-173	290	1	conf	conf	PROPN
ejpam-173	290	2	.	.	PUNCT
ejpam-173	291	1	intel	intel	PROPN
ejpam-173	291	2	.	.	PROPN
ejpam-173	291	3	robot	robot	PROPN
ejpam-173	291	4	.	.	PUNCT
ejpam-173	292	1	sys	sys	PROPN
ejpam-173	292	2	.	.	PROPN
ejpam-173	292	3	,	,	PUNCT
ejpam-173	292	4	(	(	PUNCT
ejpam-173	292	5	2003	2003	NUM
ejpam-173	292	6	)	)	PUNCT
ejpam-173	292	7	.	.	PUNCT
ejpam-173	293	1	[	[	X
ejpam-173	293	2	11	11	NUM
ejpam-173	293	3	]	]	PUNCT
ejpam-173	293	4	t.	t.	PROPN
ejpam-173	293	5	furukawa	furukawa	PROPN
ejpam-173	293	6	,	,	PUNCT
ejpam-173	293	7	f.	f.	PROPN
ejpam-173	293	8	bourgault	bourgault	PROPN
ejpam-173	293	9	,	,	PUNCT
ejpam-173	293	10	b.	b.	PROPN
ejpam-173	293	11	lavis	lavis	PROPN
ejpam-173	293	12	,	,	PUNCT
ejpam-173	293	13	and	and	CCONJ
ejpam-173	293	14	h.f	h.f	PROPN
ejpam-173	293	15	.	.	PROPN
ejpam-173	293	16	durrant	durrant	PROPN
ejpam-173	293	17	-	-	PUNCT
ejpam-173	293	18	whyte	whyte	PROPN
ejpam-173	293	19	,	,	PUNCT
ejpam-173	293	20	recursive	recursive	ADJ
ejpam-173	293	21	bayesian	bayesian	NOUN
ejpam-173	293	22	search	search	NOUN
ejpam-173	293	23	-	-	PUNCT
ejpam-173	293	24	andtracking	andtracking	NOUN
ejpam-173	293	25	using	use	VERB
ejpam-173	293	26	coordinated	coordinated	ADJ
ejpam-173	293	27	uavs	uavs	NOUN
ejpam-173	293	28	for	for	ADP
ejpam-173	293	29	lost	lose	VERB
ejpam-173	293	30	targets	target	NOUN
ejpam-173	293	31	,	,	PUNCT
ejpam-173	293	32	proc	proc	NOUN
ejpam-173	293	33	.	.	PUNCT
ejpam-173	294	1	ieee	ieee	PROPN
ejpam-173	294	2	international	international	PROPN
ejpam-173	294	3	conference	conference	NOUN
ejpam-173	294	4	on	on	ADP
ejpam-173	294	5	robotics	robotic	NOUN
ejpam-173	294	6	and	and	CCONJ
ejpam-173	294	7	automation	automation	PROPN
ejpam-173	294	8	orlando	orlando	PROPN
ejpam-173	294	9	,	,	PUNCT
ejpam-173	294	10	folrida	folrida	PROPN
ejpam-173	294	11	(	(	PUNCT
ejpam-173	294	12	2006	2006	NUM
ejpam-173	294	13	)	)	PUNCT
ejpam-173	294	14	.	.	PUNCT