id	sid	tid	token	lemma	pos
ejpam-5137	1	1	european	european	PROPN
ejpam-5137	1	2	journal	journal	PROPN
ejpam-5137	1	3	of	of	ADP
ejpam-5137	1	4	pure	pure	ADJ
ejpam-5137	1	5	and	and	CCONJ
ejpam-5137	1	6	applied	apply	VERB
ejpam-5137	1	7	mathematics	mathematic	NOUN
ejpam-5137	1	8	vol	vol	NOUN
ejpam-5137	1	9	.	.	PROPN
ejpam-5137	2	1	17	17	NUM
ejpam-5137	2	2	,	,	PUNCT
ejpam-5137	2	3	no	no	INTJ
ejpam-5137	2	4	.	.	NOUN
ejpam-5137	2	5	3	3	NUM
ejpam-5137	2	6	,	,	PUNCT
ejpam-5137	2	7	2024	2024	NUM
ejpam-5137	2	8	,	,	PUNCT
ejpam-5137	2	9	1674	1674	NUM
ejpam-5137	2	10	-	-	SYM
ejpam-5137	2	11	1684	1684	NUM
ejpam-5137	2	12	issn	issn	PROPN
ejpam-5137	2	13	1307	1307	NUM
ejpam-5137	2	14	-	-	SYM
ejpam-5137	2	15	5543	5543	NUM
ejpam-5137	2	16	–	–	PUNCT
ejpam-5137	3	1	ejpam.com	ejpam.com	X
ejpam-5137	3	2	published	publish	VERB
ejpam-5137	3	3	by	by	ADP
ejpam-5137	3	4	new	new	PROPN
ejpam-5137	3	5	york	york	PROPN
ejpam-5137	3	6	business	business	PROPN
ejpam-5137	3	7	global	global	ADJ
ejpam-5137	3	8	generalized	generalize	VERB
ejpam-5137	3	9	core	core	NOUN
ejpam-5137	3	10	functions	function	NOUN
ejpam-5137	3	11	of	of	ADP
ejpam-5137	3	12	maximum	maximum	PROPN
ejpam-5137	3	13	entropy	entropy	NOUN
ejpam-5137	3	14	theory	theory	NOUN
ejpam-5137	3	15	of	of	ADP
ejpam-5137	3	16	ecology	ecology	PROPN
ejpam-5137	3	17	cristina	cristina	PROPN
ejpam-5137	3	18	b.	b.	PROPN
ejpam-5137	3	19	corcino1,2	corcino1,2	PROPN
ejpam-5137	3	20	,	,	PUNCT
ejpam-5137	3	21	roberto	roberto	PROPN
ejpam-5137	3	22	b.	b.	PROPN
ejpam-5137	3	23	corcino1,2,5	corcino1,2,5	PROPN
ejpam-5137	3	24	,	,	PUNCT
ejpam-5137	3	25	jay	jay	PROPN
ejpam-5137	3	26	p.	p.	NOUN
ejpam-5137	3	27	picardal3,4	picardal3,4	ADJ
ejpam-5137	3	28	1	1	NUM
ejpam-5137	3	29	research	research	NOUN
ejpam-5137	3	30	institute	institute	NOUN
ejpam-5137	3	31	for	for	ADP
ejpam-5137	3	32	computational	computational	ADJ
ejpam-5137	3	33	mathematics	mathematic	NOUN
ejpam-5137	3	34	and	and	CCONJ
ejpam-5137	3	35	physics	physics	NOUN
ejpam-5137	3	36	,	,	PUNCT
ejpam-5137	3	37	cebu	cebu	NOUN
ejpam-5137	3	38	normal	normal	ADJ
ejpam-5137	3	39	university	university	NOUN
ejpam-5137	3	40	,	,	PUNCT
ejpam-5137	3	41	6000	6000	NUM
ejpam-5137	3	42	cebu	cebu	NOUN
ejpam-5137	3	43	city	city	NOUN
ejpam-5137	3	44	,	,	PUNCT
ejpam-5137	3	45	philippines	philippine	NOUN
ejpam-5137	3	46	2	2	NUM
ejpam-5137	3	47	mathematics	mathematics	NOUN
ejpam-5137	3	48	department	department	NOUN
ejpam-5137	3	49	,	,	PUNCT
ejpam-5137	3	50	cebu	cebu	NOUN
ejpam-5137	3	51	normal	normal	ADJ
ejpam-5137	3	52	university	university	NOUN
ejpam-5137	3	53	,	,	PUNCT
ejpam-5137	3	54	6000	6000	NUM
ejpam-5137	3	55	cebu	cebu	NOUN
ejpam-5137	3	56	city	city	NOUN
ejpam-5137	3	57	,	,	PUNCT
ejpam-5137	3	58	philippines	philippine	NOUN
ejpam-5137	3	59	3	3	NUM
ejpam-5137	3	60	research	research	NOUN
ejpam-5137	3	61	institute	institute	NOUN
ejpam-5137	3	62	for	for	ADP
ejpam-5137	3	63	tropical	tropical	ADJ
ejpam-5137	3	64	biology	biology	NOUN
ejpam-5137	3	65	and	and	CCONJ
ejpam-5137	3	66	pharmacological	pharmacological	NOUN
ejpam-5137	3	67	biotechnology	biotechnology	NOUN
ejpam-5137	3	68	,	,	PUNCT
ejpam-5137	3	69	cebu	cebu	NOUN
ejpam-5137	3	70	normal	normal	ADJ
ejpam-5137	3	71	university	university	NOUN
ejpam-5137	3	72	,	,	PUNCT
ejpam-5137	3	73	6000	6000	NUM
ejpam-5137	3	74	cebu	cebu	NOUN
ejpam-5137	3	75	city	city	NOUN
ejpam-5137	3	76	,	,	PUNCT
ejpam-5137	3	77	philippines	philippine	VERB
ejpam-5137	3	78	4	4	NUM
ejpam-5137	3	79	biology	biology	NOUN
ejpam-5137	3	80	department	department	NOUN
ejpam-5137	3	81	,	,	PUNCT
ejpam-5137	3	82	cebu	cebu	NOUN
ejpam-5137	3	83	normal	normal	ADJ
ejpam-5137	3	84	university	university	NOUN
ejpam-5137	3	85	,	,	PUNCT
ejpam-5137	3	86	6000	6000	NUM
ejpam-5137	3	87	cebu	cebu	NOUN
ejpam-5137	3	88	city	city	NOUN
ejpam-5137	3	89	,	,	PUNCT
ejpam-5137	3	90	philippines	philippine	NOUN
ejpam-5137	3	91	5	5	NUM
ejpam-5137	3	92	cebu	cebu	NOUN
ejpam-5137	3	93	normal	normal	ADJ
ejpam-5137	3	94	university	university	NOUN
ejpam-5137	3	95	-	-	PUNCT
ejpam-5137	3	96	balamban	balamban	NOUN
ejpam-5137	3	97	campus	campus	NOUN
ejpam-5137	3	98	,	,	PUNCT
ejpam-5137	3	99	balamban	balamban	NOUN
ejpam-5137	3	100	cebu	cebu	NOUN
ejpam-5137	3	101	,	,	PUNCT
ejpam-5137	3	102	philippines	philippine	NOUN
ejpam-5137	3	103	abstract	abstract	ADJ
ejpam-5137	3	104	.	.	PUNCT
ejpam-5137	4	1	core	core	NOUN
ejpam-5137	4	2	distributions	distribution	NOUN
ejpam-5137	4	3	of	of	ADP
ejpam-5137	4	4	maximum	maximum	ADJ
ejpam-5137	4	5	entropy	entropy	NOUN
ejpam-5137	4	6	theory	theory	NOUN
ejpam-5137	4	7	of	of	ADP
ejpam-5137	4	8	ecology	ecology	NOUN
ejpam-5137	4	9	(	(	PUNCT
ejpam-5137	4	10	mete	mete	ADJ
ejpam-5137	4	11	)	)	PUNCT
ejpam-5137	4	12	are	be	AUX
ejpam-5137	4	13	the	the	DET
ejpam-5137	4	14	spatial	spatial	ADJ
ejpam-5137	4	15	structure	structure	NOUN
ejpam-5137	4	16	function	function	NOUN
ejpam-5137	4	17	(	(	PUNCT
ejpam-5137	4	18	ssf	ssf	NOUN
ejpam-5137	4	19	)	)	PUNCT
ejpam-5137	4	20	and	and	CCONJ
ejpam-5137	4	21	the	the	DET
ejpam-5137	4	22	ecosystem	ecosystem	NOUN
ejpam-5137	4	23	structure	structure	NOUN
ejpam-5137	4	24	function	function	NOUN
ejpam-5137	4	25	(	(	PUNCT
ejpam-5137	4	26	esf	esf	PROPN
ejpam-5137	4	27	)	)	PUNCT
ejpam-5137	4	28	.	.	PUNCT
ejpam-5137	5	1	ssf	ssf	NOUN
ejpam-5137	5	2	is	be	AUX
ejpam-5137	5	3	a	a	DET
ejpam-5137	5	4	by	by	ADP
ejpam-5137	5	5	-	-	PUNCT
ejpam-5137	5	6	species	species	NOUN
ejpam-5137	5	7	prediction	prediction	NOUN
ejpam-5137	5	8	of	of	ADP
ejpam-5137	5	9	the	the	DET
ejpam-5137	5	10	clustering	clustering	NOUN
ejpam-5137	5	11	of	of	ADP
ejpam-5137	5	12	individuals	individual	NOUN
ejpam-5137	5	13	over	over	ADP
ejpam-5137	5	14	space	space	NOUN
ejpam-5137	5	15	.	.	PUNCT
ejpam-5137	6	1	esf	esf	PROPN
ejpam-5137	6	2	is	be	AUX
ejpam-5137	6	3	a	a	DET
ejpam-5137	6	4	kind	kind	NOUN
ejpam-5137	6	5	of	of	ADP
ejpam-5137	6	6	container	container	NOUN
ejpam-5137	6	7	function	function	NOUN
ejpam-5137	6	8	that	that	PRON
ejpam-5137	6	9	describes	describe	VERB
ejpam-5137	6	10	the	the	DET
ejpam-5137	6	11	probability	probability	NOUN
ejpam-5137	6	12	space	space	NOUN
ejpam-5137	6	13	of	of	ADP
ejpam-5137	6	14	how	how	SCONJ
ejpam-5137	6	15	abundances	abundance	NOUN
ejpam-5137	6	16	are	be	AUX
ejpam-5137	6	17	assigned	assign	VERB
ejpam-5137	6	18	to	to	ADP
ejpam-5137	6	19	species	specie	NOUN
ejpam-5137	6	20	and	and	CCONJ
ejpam-5137	6	21	how	how	SCONJ
ejpam-5137	6	22	metabolic	metabolic	ADJ
ejpam-5137	6	23	energy	energy	NOUN
ejpam-5137	6	24	is	be	AUX
ejpam-5137	6	25	partitioned	partition	VERB
ejpam-5137	6	26	over	over	ADP
ejpam-5137	6	27	individuals	individual	NOUN
ejpam-5137	6	28	in	in	ADP
ejpam-5137	6	29	a	a	DET
ejpam-5137	6	30	community	community	NOUN
ejpam-5137	6	31	.	.	PUNCT
ejpam-5137	7	1	in	in	ADP
ejpam-5137	7	2	this	this	DET
ejpam-5137	7	3	study	study	NOUN
ejpam-5137	7	4	,	,	PUNCT
ejpam-5137	7	5	these	these	DET
ejpam-5137	7	6	core	core	NOUN
ejpam-5137	7	7	functions	function	NOUN
ejpam-5137	7	8	of	of	ADP
ejpam-5137	7	9	mete	mete	NOUN
ejpam-5137	7	10	are	be	AUX
ejpam-5137	7	11	generalized	generalize	VERB
ejpam-5137	7	12	by	by	ADP
ejpam-5137	7	13	deriving	derive	VERB
ejpam-5137	7	14	the	the	DET
ejpam-5137	7	15	corresponding	correspond	VERB
ejpam-5137	7	16	functions	function	NOUN
ejpam-5137	7	17	in	in	ADP
ejpam-5137	7	18	the	the	DET
ejpam-5137	7	19	tsallis	tsallis	ADJ
ejpam-5137	7	20	q	q	NOUN
ejpam-5137	7	21	-	-	PUNCT
ejpam-5137	7	22	entropy	entropy	NOUN
ejpam-5137	7	23	.	.	PUNCT
ejpam-5137	8	1	derivation	derivation	NOUN
ejpam-5137	8	2	used	use	VERB
ejpam-5137	8	3	the	the	DET
ejpam-5137	8	4	method	method	NOUN
ejpam-5137	8	5	of	of	ADP
ejpam-5137	8	6	lagrange	lagrange	NOUN
ejpam-5137	8	7	multipliers	multiplier	NOUN
ejpam-5137	8	8	.	.	PUNCT
ejpam-5137	9	1	the	the	DET
ejpam-5137	9	2	generalized	generalized	ADJ
ejpam-5137	9	3	ssf	ssf	NOUN
ejpam-5137	9	4	and	and	CCONJ
ejpam-5137	9	5	esf	esf	PROPN
ejpam-5137	9	6	are	be	AUX
ejpam-5137	9	7	expressed	express	VERB
ejpam-5137	9	8	in	in	ADP
ejpam-5137	9	9	terms	term	NOUN
ejpam-5137	9	10	of	of	ADP
ejpam-5137	9	11	the	the	DET
ejpam-5137	9	12	q	q	ADJ
ejpam-5137	9	13	-	-	PUNCT
ejpam-5137	9	14	exponential	exponential	ADJ
ejpam-5137	9	15	function	function	NOUN
ejpam-5137	9	16	.	.	PUNCT
ejpam-5137	10	1	numerical	numerical	ADJ
ejpam-5137	10	2	examples	example	NOUN
ejpam-5137	10	3	are	be	AUX
ejpam-5137	10	4	provided	provide	VERB
ejpam-5137	10	5	to	to	PART
ejpam-5137	10	6	illustrate	illustrate	VERB
ejpam-5137	10	7	the	the	DET
ejpam-5137	10	8	generalized	generalized	ADJ
ejpam-5137	10	9	ssf	ssf	NOUN
ejpam-5137	10	10	.	.	PROPN
ejpam-5137	11	1	2020	2020	NUM
ejpam-5137	11	2	mathematics	mathematics	PROPN
ejpam-5137	11	3	subject	subject	NOUN
ejpam-5137	11	4	classifications	classification	NOUN
ejpam-5137	11	5	:	:	PUNCT
ejpam-5137	11	6	11b68	11b68	NUM
ejpam-5137	11	7	,	,	PUNCT
ejpam-5137	11	8	42a16	42a16	NUM
ejpam-5137	11	9	,	,	PUNCT
ejpam-5137	11	10	11m35	11m35	NUM
ejpam-5137	11	11	key	key	ADJ
ejpam-5137	11	12	words	word	NOUN
ejpam-5137	11	13	and	and	CCONJ
ejpam-5137	11	14	phrases	phrase	NOUN
ejpam-5137	11	15	:	:	PUNCT
ejpam-5137	11	16	probability	probability	NOUN
ejpam-5137	11	17	distribution	distribution	NOUN
ejpam-5137	11	18	,	,	PUNCT
ejpam-5137	11	19	ecology	ecology	NOUN
ejpam-5137	11	20	,	,	PUNCT
ejpam-5137	11	21	entropy	entropy	PROPN
ejpam-5137	11	22	,	,	PUNCT
ejpam-5137	11	23	tsallis	tsalli	NOUN
ejpam-5137	11	24	entropy	entropy	VERB
ejpam-5137	11	25	,	,	PUNCT
ejpam-5137	11	26	spatial	spatial	ADJ
ejpam-5137	11	27	structure	structure	NOUN
ejpam-5137	11	28	function	function	NOUN
ejpam-5137	11	29	,	,	PUNCT
ejpam-5137	11	30	ecosystem	ecosystem	NOUN
ejpam-5137	11	31	structure	structure	NOUN
ejpam-5137	11	32	function	function	VERB
ejpam-5137	11	33	1	1	NUM
ejpam-5137	11	34	.	.	PUNCT
ejpam-5137	12	1	introduction	introduction	NOUN
ejpam-5137	12	2	maximum	maximum	PROPN
ejpam-5137	12	3	entropy	entropy	PROPN
ejpam-5137	12	4	framework	framework	NOUN
ejpam-5137	12	5	has	have	AUX
ejpam-5137	12	6	been	be	AUX
ejpam-5137	12	7	utilized	utilize	VERB
ejpam-5137	12	8	to	to	PART
ejpam-5137	12	9	construct	construct	VERB
ejpam-5137	12	10	ecological	ecological	ADJ
ejpam-5137	12	11	models	model	NOUN
ejpam-5137	12	12	,	,	PUNCT
ejpam-5137	12	13	thus	thus	ADV
ejpam-5137	12	14	providing	provide	VERB
ejpam-5137	12	15	support	support	NOUN
ejpam-5137	12	16	to	to	ADP
ejpam-5137	12	17	emerging	emerge	VERB
ejpam-5137	12	18	ecological	ecological	ADJ
ejpam-5137	12	19	relationships	relationship	NOUN
ejpam-5137	12	20	at	at	ADP
ejpam-5137	12	21	a	a	DET
ejpam-5137	12	22	broader	broad	ADJ
ejpam-5137	12	23	scale	scale	NOUN
ejpam-5137	12	24	[	[	X
ejpam-5137	12	25	4	4	NUM
ejpam-5137	12	26	,	,	PUNCT
ejpam-5137	12	27	10	10	NUM
ejpam-5137	12	28	]	]	PUNCT
ejpam-5137	12	29	.	.	PUNCT
ejpam-5137	13	1	maximum	maximum	PROPN
ejpam-5137	13	2	entropy	entropy	PROPN
ejpam-5137	13	3	models	model	NOUN
ejpam-5137	13	4	maximize	maximize	VERB
ejpam-5137	13	5	information	information	NOUN
ejpam-5137	13	6	content	content	NOUN
ejpam-5137	13	7	from	from	ADP
ejpam-5137	13	8	biological	biological	ADJ
ejpam-5137	13	9	system	system	NOUN
ejpam-5137	13	10	while	while	SCONJ
ejpam-5137	13	11	satisfying	satisfy	VERB
ejpam-5137	13	12	relevant	relevant	ADJ
ejpam-5137	13	13	constraints	constraint	NOUN
ejpam-5137	13	14	which	which	PRON
ejpam-5137	13	15	are	be	AUX
ejpam-5137	13	16	primarily	primarily	ADV
ejpam-5137	13	17	composed	compose	VERB
ejpam-5137	13	18	of	of	ADP
ejpam-5137	13	19	bioclimatic	bioclimatic	ADJ
ejpam-5137	13	20	and	and	CCONJ
ejpam-5137	13	21	biophysical	biophysical	ADJ
ejpam-5137	13	22	variables	variable	NOUN
ejpam-5137	13	23	.	.	PUNCT
ejpam-5137	14	1	these	these	DET
ejpam-5137	14	2	models	model	NOUN
ejpam-5137	14	3	have	have	VERB
ejpam-5137	14	4	extensive	extensive	ADJ
ejpam-5137	14	5	applications	application	NOUN
ejpam-5137	14	6	in	in	ADP
ejpam-5137	14	7	biodiversity	biodiversity	NOUN
ejpam-5137	14	8	conservation	conservation	NOUN
ejpam-5137	14	9	and	and	CCONJ
ejpam-5137	14	10	ecosystem	ecosystem	NOUN
ejpam-5137	14	11	management	management	NOUN
ejpam-5137	14	12	of	of	ADP
ejpam-5137	14	13	a	a	DET
ejpam-5137	14	14	particular	particular	ADJ
ejpam-5137	14	15	species	specie	NOUN
ejpam-5137	14	16	[	[	X
ejpam-5137	14	17	6	6	NUM
ejpam-5137	14	18	,	,	PUNCT
ejpam-5137	14	19	8	8	NUM
ejpam-5137	14	20	]	]	PUNCT
ejpam-5137	14	21	.	.	PUNCT
ejpam-5137	15	1	mathematical	mathematical	ADJ
ejpam-5137	15	2	rigor	rigor	NOUN
ejpam-5137	15	3	of	of	ADP
ejpam-5137	15	4	maxent	maxent	NOUN
ejpam-5137	15	5	models	model	NOUN
ejpam-5137	15	6	enhances	enhance	VERB
ejpam-5137	15	7	the	the	DET
ejpam-5137	15	8	accuracy	accuracy	NOUN
ejpam-5137	15	9	and	and	CCONJ
ejpam-5137	15	10	reliability	reliability	NOUN
ejpam-5137	15	11	of	of	ADP
ejpam-5137	15	12	predictions	prediction	NOUN
ejpam-5137	15	13	,	,	PUNCT
ejpam-5137	15	14	thereby	thereby	ADV
ejpam-5137	15	15	supporting	support	VERB
ejpam-5137	15	16	ecologists	ecologist	NOUN
ejpam-5137	15	17	in	in	ADP
ejpam-5137	15	18	making	make	VERB
ejpam-5137	15	19	informed	informed	ADJ
ejpam-5137	15	20	choices	choice	NOUN
ejpam-5137	15	21	in	in	ADP
ejpam-5137	15	22	designing	design	VERB
ejpam-5137	15	23	conservation	conservation	NOUN
ejpam-5137	15	24	doi	doi	NOUN
ejpam-5137	15	25	:	:	PUNCT
ejpam-5137	15	26	https://doi.org/10.29020/nybg.ejpam.v17i3.5137	https://doi.org/10.29020/nybg.ejpam.v17i3.5137	NOUN
ejpam-5137	15	27	email	email	NOUN
ejpam-5137	15	28	addresses	address	NOUN
ejpam-5137	15	29	:	:	PUNCT
ejpam-5137	15	30	corcinoc@cnu.edu.ph	corcinoc@cnu.edu.ph	PROPN
ejpam-5137	15	31	(	(	PUNCT
ejpam-5137	15	32	c.	c.	PROPN
ejpam-5137	15	33	corcino	corcino	PROPN
ejpam-5137	15	34	)	)	PUNCT
ejpam-5137	15	35	,	,	PUNCT
ejpam-5137	15	36	rcorcino@yahoo.com	rcorcino@yahoo.com	X
ejpam-5137	15	37	(	(	PUNCT
ejpam-5137	15	38	r.	r.	PROPN
ejpam-5137	15	39	corcino	corcino	PROPN
ejpam-5137	15	40	)	)	PUNCT
ejpam-5137	15	41	,	,	PUNCT
ejpam-5137	15	42	picardalj@cnu.edu.ph	picardalj@cnu.edu.ph	PROPN
ejpam-5137	15	43	(	(	PUNCT
ejpam-5137	15	44	j.	j.	PROPN
ejpam-5137	15	45	picardal	picardal	PROPN
ejpam-5137	15	46	)	)	PUNCT
ejpam-5137	15	47	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5137	15	48	1674	1674	NUM
ejpam-5137	15	49	©	©	ADP
ejpam-5137	15	50	2024	2024	NUM
ejpam-5137	15	51	ejpam	ejpam	NOUN
ejpam-5137	15	52	all	all	DET
ejpam-5137	15	53	rights	right	NOUN
ejpam-5137	15	54	reserved	reserve	VERB
ejpam-5137	15	55	.	.	PUNCT
ejpam-5137	16	1	c.	c.	PROPN
ejpam-5137	16	2	corcino	corcino	PROPN
ejpam-5137	16	3	,	,	PUNCT
ejpam-5137	16	4	r.	r.	PROPN
ejpam-5137	16	5	corcino	corcino	PROPN
ejpam-5137	16	6	,	,	PUNCT
ejpam-5137	16	7	j.	j.	PROPN
ejpam-5137	16	8	picardal	picardal	PROPN
ejpam-5137	16	9	/	/	SYM
ejpam-5137	16	10	eur	eur	PROPN
ejpam-5137	16	11	.	.	PUNCT
ejpam-5137	17	1	j.	j.	PROPN
ejpam-5137	17	2	pure	pure	PROPN
ejpam-5137	17	3	appl	appl	PROPN
ejpam-5137	17	4	.	.	PROPN
ejpam-5137	17	5	math	math	PROPN
ejpam-5137	17	6	,	,	PUNCT
ejpam-5137	17	7	17	17	NUM
ejpam-5137	17	8	(	(	PUNCT
ejpam-5137	17	9	3	3	NUM
ejpam-5137	17	10	)	)	PUNCT
ejpam-5137	17	11	(	(	PUNCT
ejpam-5137	17	12	2024	2024	NUM
ejpam-5137	17	13	)	)	PUNCT
ejpam-5137	17	14	,	,	PUNCT
ejpam-5137	17	15	1674	1674	NUM
ejpam-5137	17	16	-	-	SYM
ejpam-5137	17	17	1684	1684	NUM
ejpam-5137	17	18	1675	1675	NUM
ejpam-5137	17	19	strategies	strategy	NOUN
ejpam-5137	17	20	for	for	ADP
ejpam-5137	17	21	a	a	DET
ejpam-5137	17	22	particular	particular	ADJ
ejpam-5137	17	23	species	specie	NOUN
ejpam-5137	17	24	[	[	X
ejpam-5137	17	25	12	12	NUM
ejpam-5137	17	26	]	]	PUNCT
ejpam-5137	17	27	.	.	PUNCT
ejpam-5137	18	1	for	for	ADP
ejpam-5137	18	2	instance	instance	NOUN
ejpam-5137	18	3	,	,	PUNCT
ejpam-5137	18	4	the	the	DET
ejpam-5137	18	5	model	model	NOUN
ejpam-5137	18	6	may	may	AUX
ejpam-5137	18	7	provide	provide	VERB
ejpam-5137	18	8	inputs	input	NOUN
ejpam-5137	18	9	in	in	ADP
ejpam-5137	18	10	understanding	understand	VERB
ejpam-5137	18	11	species	species	NOUN
ejpam-5137	18	12	niche	niche	NOUN
ejpam-5137	18	13	differentiation	differentiation	NOUN
ejpam-5137	18	14	and	and	CCONJ
ejpam-5137	18	15	species	species	NOUN
ejpam-5137	18	16	interactions	interaction	NOUN
ejpam-5137	18	17	[	[	X
ejpam-5137	18	18	11	11	NUM
ejpam-5137	18	19	]	]	PUNCT
ejpam-5137	18	20	,	,	PUNCT
ejpam-5137	18	21	construction	construction	NOUN
ejpam-5137	18	22	of	of	ADP
ejpam-5137	18	23	food	food	NOUN
ejpam-5137	18	24	web	web	NOUN
ejpam-5137	18	25	structures	structure	NOUN
ejpam-5137	18	26	[	[	X
ejpam-5137	18	27	2	2	NUM
ejpam-5137	18	28	]	]	PUNCT
ejpam-5137	18	29	and	and	CCONJ
ejpam-5137	18	30	establishing	establish	VERB
ejpam-5137	18	31	trophic	trophic	ADJ
ejpam-5137	18	32	relationships	relationship	NOUN
ejpam-5137	18	33	[	[	X
ejpam-5137	18	34	13	13	NUM
ejpam-5137	18	35	]	]	PUNCT
ejpam-5137	18	36	.	.	PUNCT
ejpam-5137	19	1	maximum	maximum	PROPN
ejpam-5137	19	2	entropy	entropy	PROPN
ejpam-5137	19	3	theory	theory	NOUN
ejpam-5137	19	4	of	of	ADP
ejpam-5137	19	5	ecology	ecology	NOUN
ejpam-5137	19	6	(	(	PUNCT
ejpam-5137	19	7	mete	mete	ADJ
ejpam-5137	19	8	)	)	PUNCT
ejpam-5137	19	9	is	be	AUX
ejpam-5137	19	10	a	a	DET
ejpam-5137	19	11	theoretical	theoretical	ADJ
ejpam-5137	19	12	framework	framework	NOUN
ejpam-5137	19	13	of	of	ADP
ejpam-5137	19	14	macroecology	macroecology	NOUN
ejpam-5137	19	15	that	that	PRON
ejpam-5137	19	16	makes	make	VERB
ejpam-5137	19	17	a	a	DET
ejpam-5137	19	18	variety	variety	NOUN
ejpam-5137	19	19	of	of	ADP
ejpam-5137	19	20	realistic	realistic	ADJ
ejpam-5137	19	21	ecological	ecological	ADJ
ejpam-5137	19	22	predictions	prediction	NOUN
ejpam-5137	19	23	about	about	ADP
ejpam-5137	19	24	how	how	SCONJ
ejpam-5137	19	25	species	specie	NOUN
ejpam-5137	19	26	richness	richness	NOUN
ejpam-5137	19	27	,	,	PUNCT
ejpam-5137	19	28	abundance	abundance	NOUN
ejpam-5137	19	29	of	of	ADP
ejpam-5137	19	30	species	specie	NOUN
ejpam-5137	19	31	,	,	PUNCT
ejpam-5137	19	32	metabolic	metabolic	NOUN
ejpam-5137	19	33	rate	rate	NOUN
ejpam-5137	19	34	distributions	distribution	NOUN
ejpam-5137	19	35	,	,	PUNCT
ejpam-5137	19	36	and	and	CCONJ
ejpam-5137	19	37	spatial	spatial	ADJ
ejpam-5137	19	38	aggregation	aggregation	NOUN
ejpam-5137	19	39	of	of	ADP
ejpam-5137	19	40	species	specie	NOUN
ejpam-5137	19	41	interrelate	interrelate	VERB
ejpam-5137	19	42	in	in	ADP
ejpam-5137	19	43	a	a	DET
ejpam-5137	19	44	given	give	VERB
ejpam-5137	19	45	region	region	NOUN
ejpam-5137	19	46	.	.	PUNCT
ejpam-5137	20	1	underlying	underlie	VERB
ejpam-5137	20	2	mathematics	mathematic	NOUN
ejpam-5137	20	3	of	of	ADP
ejpam-5137	20	4	mete	mete	ADJ
ejpam-5137	20	5	relies	relie	NOUN
ejpam-5137	20	6	on	on	ADP
ejpam-5137	20	7	maxent	maxent	NOUN
ejpam-5137	20	8	:	:	PUNCT
ejpam-5137	20	9	the	the	DET
ejpam-5137	20	10	maximization	maximization	NOUN
ejpam-5137	20	11	of	of	ADP
ejpam-5137	20	12	information	information	NOUN
ejpam-5137	20	13	entropy	entropy	PROPN
ejpam-5137	20	14	.	.	PUNCT
ejpam-5137	21	1	primary	primary	ADJ
ejpam-5137	21	2	equations	equation	NOUN
ejpam-5137	21	3	that	that	PRON
ejpam-5137	21	4	regularly	regularly	ADV
ejpam-5137	21	5	occur	occur	VERB
ejpam-5137	21	6	in	in	ADP
ejpam-5137	21	7	the	the	DET
ejpam-5137	21	8	maximization	maximization	NOUN
ejpam-5137	21	9	as	as	SCONJ
ejpam-5137	21	10	presented	present	VERB
ejpam-5137	21	11	in	in	ADP
ejpam-5137	21	12	[	[	X
ejpam-5137	21	13	1	1	NUM
ejpam-5137	21	14	]	]	PUNCT
ejpam-5137	21	15	are	be	AUX
ejpam-5137	21	16	the	the	DET
ejpam-5137	21	17	given	give	VERB
ejpam-5137	21	18	in	in	ADP
ejpam-5137	21	19	(	(	PUNCT
ejpam-5137	21	20	1.1)-(1.3	1.1)-(1.3	NUM
ejpam-5137	21	21	)	)	PUNCT
ejpam-5137	21	22	.	.	PUNCT
ejpam-5137	22	1	the	the	DET
ejpam-5137	22	2	general	general	ADJ
ejpam-5137	22	3	expression	expression	NOUN
ejpam-5137	22	4	for	for	ADP
ejpam-5137	22	5	k	k	PROPN
ejpam-5137	22	6	constraints	constraint	NOUN
ejpam-5137	22	7	on	on	ADP
ejpam-5137	22	8	the	the	DET
ejpam-5137	22	9	mean	mean	ADJ
ejpam-5137	22	10	values	value	NOUN
ejpam-5137	22	11	of	of	ADP
ejpam-5137	22	12	the	the	DET
ejpam-5137	22	13	variables	variable	NOUN
ejpam-5137	22	14	fk(n	fk(n	NOUN
ejpam-5137	22	15	)	)	PUNCT
ejpam-5137	22	16	,	,	PUNCT
ejpam-5137	22	17	where	where	SCONJ
ejpam-5137	22	18	n	n	PRON
ejpam-5137	22	19	follows	follow	VERB
ejpam-5137	22	20	the	the	DET
ejpam-5137	22	21	distribution	distribution	NOUN
ejpam-5137	22	22	p(n	p(n	PROPN
ejpam-5137	22	23	)	)	PUNCT
ejpam-5137	22	24	,	,	PUNCT
ejpam-5137	22	25	is	be	AUX
ejpam-5137	22	26	expressed	express	VERB
ejpam-5137	22	27	as	as	ADP
ejpam-5137	22	28	n	n	NOUN
ejpam-5137	22	29	=	=	PROPN
ejpam-5137	22	30	n∑	n∑	PROPN
ejpam-5137	22	31	n=1	n=1	PROPN
ejpam-5137	22	32	fk(n)p(n	fk(n)p(n	PROPN
ejpam-5137	22	33	)	)	PUNCT
ejpam-5137	22	34	=	=	PRON
ejpam-5137	22	35	⟨fk⟩.	⟨fk⟩.	X
ejpam-5137	23	1	(	(	PUNCT
ejpam-5137	23	2	1	1	X
ejpam-5137	23	3	)	)	PUNCT
ejpam-5137	23	4	additional	additional	ADJ
ejpam-5137	23	5	constraint	constraint	NOUN
ejpam-5137	23	6	provides	provide	VERB
ejpam-5137	23	7	for	for	ADP
ejpam-5137	23	8	the	the	DET
ejpam-5137	23	9	normalization	normalization	NOUN
ejpam-5137	23	10	of	of	ADP
ejpam-5137	23	11	the	the	DET
ejpam-5137	23	12	probability	probability	NOUN
ejpam-5137	23	13	distributions	distribution	NOUN
ejpam-5137	23	14	,	,	PUNCT
ejpam-5137	23	15	expressed	express	VERB
ejpam-5137	23	16	as	as	ADP
ejpam-5137	23	17	n	n	NOUN
ejpam-5137	23	18	=	=	PROPN
ejpam-5137	23	19	n∑	n∑	NOUN
ejpam-5137	23	20	n=1	n=1	PROPN
ejpam-5137	23	21	p(n	p(n	PROPN
ejpam-5137	23	22	)	)	PUNCT
ejpam-5137	23	23	=	=	SYM
ejpam-5137	23	24	1	1	X
ejpam-5137	23	25	.	.	PUNCT
ejpam-5137	23	26	(	(	PUNCT
ejpam-5137	23	27	2	2	X
ejpam-5137	23	28	)	)	PUNCT
ejpam-5137	23	29	to	to	PART
ejpam-5137	23	30	maximize	maximize	VERB
ejpam-5137	23	31	shannon	shannon	PROPN
ejpam-5137	23	32	information	information	PROPN
ejpam-5137	23	33	entropy	entropy	PROPN
ejpam-5137	23	34	subject	subject	ADJ
ejpam-5137	23	35	to	to	ADP
ejpam-5137	23	36	the	the	DET
ejpam-5137	23	37	above	above	ADJ
ejpam-5137	23	38	constraints	constraint	NOUN
ejpam-5137	23	39	,	,	PUNCT
ejpam-5137	23	40	the	the	DET
ejpam-5137	23	41	tools	tool	NOUN
ejpam-5137	23	42	of	of	ADP
ejpam-5137	23	43	variational	variational	ADJ
ejpam-5137	23	44	calculus	calculus	NOUN
ejpam-5137	23	45	and	and	CCONJ
ejpam-5137	23	46	the	the	DET
ejpam-5137	23	47	method	method	NOUN
ejpam-5137	23	48	of	of	ADP
ejpam-5137	23	49	undetermined	undetermined	ADJ
ejpam-5137	23	50	langrange	langrange	NOUN
ejpam-5137	23	51	multipliers	multiplier	NOUN
ejpam-5137	23	52	will	will	AUX
ejpam-5137	23	53	be	be	AUX
ejpam-5137	23	54	employed	employ	VERB
ejpam-5137	23	55	.	.	PUNCT
ejpam-5137	24	1	the	the	DET
ejpam-5137	24	2	function	function	NOUN
ejpam-5137	24	3	f	f	AUX
ejpam-5137	24	4	to	to	PART
ejpam-5137	24	5	be	be	AUX
ejpam-5137	24	6	maximized	maximize	VERB
ejpam-5137	24	7	is	be	AUX
ejpam-5137	24	8	an	an	DET
ejpam-5137	24	9	expression	expression	NOUN
ejpam-5137	24	10	that	that	PRON
ejpam-5137	24	11	incorporates	incorporate	VERB
ejpam-5137	24	12	the	the	DET
ejpam-5137	24	13	measure	measure	NOUN
ejpam-5137	24	14	of	of	ADP
ejpam-5137	24	15	shannon	shannon	PROPN
ejpam-5137	24	16	information	information	PROPN
ejpam-5137	24	17	entropy	entropy	NOUN
ejpam-5137	24	18	and	and	CCONJ
ejpam-5137	24	19	the	the	DET
ejpam-5137	24	20	constraints	constraint	NOUN
ejpam-5137	24	21	.	.	PUNCT
ejpam-5137	25	1	that	that	PRON
ejpam-5137	25	2	is	be	AUX
ejpam-5137	25	3	,	,	PUNCT
ejpam-5137	25	4	f	f	PROPN
ejpam-5137	25	5	=	=	SYM
ejpam-5137	25	6	−	−	PROPN
ejpam-5137	25	7	nmax∑	nmax∑	NOUN
ejpam-5137	25	8	n	n	CCONJ
ejpam-5137	25	9	=	=	NOUN
ejpam-5137	25	10	nmin	nmin	NOUN
ejpam-5137	25	11	p(n	p(n	NOUN
ejpam-5137	25	12	)	)	PUNCT
ejpam-5137	25	13	ln	ln	ADJ
ejpam-5137	25	14	p(n)−	p(n)−	PROPN
ejpam-5137	25	15	λ0	λ0	VERB
ejpam-5137	25	16			NOUN
ejpam-5137	25	17	nmax∑	nmax∑	NOUN
ejpam-5137	25	18	n	n	CCONJ
ejpam-5137	25	19	=	=	NOUN
ejpam-5137	25	20	nmin	nmin	NOUN
ejpam-5137	25	21	p(n)−	p(n)−	PROPN
ejpam-5137	25	22	1	1	NUM
ejpam-5137	25	23	−	−	VERB
ejpam-5137	25	24	λ1	λ1	PROPN
ejpam-5137	25	25			PROPN
ejpam-5137	25	26	nmax∑	nmax∑	NOUN
ejpam-5137	25	27	n	n	CCONJ
ejpam-5137	25	28	=	=	NOUN
ejpam-5137	25	29	nmin	nmin	NOUN
ejpam-5137	25	30	f(n)p(n)−	f(n)p(n)−	NOUN
ejpam-5137	25	31	⟨f⟩	⟨f⟩	PROPN
ejpam-5137	25	32			NOUN
ejpam-5137	25	33	.	.	PUNCT
ejpam-5137	26	1	(	(	PUNCT
ejpam-5137	26	2	3	3	X
ejpam-5137	26	3	)	)	PUNCT
ejpam-5137	26	4	on	on	ADP
ejpam-5137	26	5	the	the	DET
ejpam-5137	26	6	other	other	ADJ
ejpam-5137	26	7	hand	hand	NOUN
ejpam-5137	26	8	,	,	PUNCT
ejpam-5137	26	9	the	the	DET
ejpam-5137	26	10	q	q	ADJ
ejpam-5137	26	11	-	-	PUNCT
ejpam-5137	26	12	logarithm	logarithm	NOUN
ejpam-5137	26	13	function	function	NOUN
ejpam-5137	26	14	introduced	introduce	VERB
ejpam-5137	26	15	in	in	ADP
ejpam-5137	26	16	[	[	X
ejpam-5137	26	17	14	14	NUM
ejpam-5137	26	18	]	]	PUNCT
ejpam-5137	26	19	is	be	AUX
ejpam-5137	26	20	given	give	VERB
ejpam-5137	26	21	by	by	ADP
ejpam-5137	26	22	lnq	lnq	PROPN
ejpam-5137	26	23	x	x	X
ejpam-5137	27	1	=	=	PUNCT
ejpam-5137	27	2	x1−q	x1−q	PROPN
ejpam-5137	27	3	−	−	NOUN
ejpam-5137	27	4	1	1	NUM
ejpam-5137	27	5	1−	1−	NUM
ejpam-5137	27	6	q	q	NOUN
ejpam-5137	27	7	,	,	PUNCT
ejpam-5137	27	8	(	(	PUNCT
ejpam-5137	27	9	q	q	NOUN
ejpam-5137	27	10	∈	∈	PROPN
ejpam-5137	27	11	r	r	NOUN
ejpam-5137	27	12	,	,	PUNCT
ejpam-5137	27	13	x	x	X
ejpam-5137	27	14	>	>	X
ejpam-5137	27	15	0	0	NUM
ejpam-5137	27	16	)	)	PUNCT
ejpam-5137	27	17	(	(	PUNCT
ejpam-5137	27	18	4	4	NUM
ejpam-5137	27	19	)	)	PUNCT
ejpam-5137	27	20	and	and	CCONJ
ejpam-5137	27	21	the	the	DET
ejpam-5137	27	22	q	q	ADJ
ejpam-5137	27	23	-	-	ADJ
ejpam-5137	27	24	exponential	exponential	ADJ
ejpam-5137	27	25	function	function	NOUN
ejpam-5137	27	26	is	be	AUX
ejpam-5137	27	27	given	give	VERB
ejpam-5137	27	28	by	by	ADP
ejpam-5137	27	29	expq	expq	ADJ
ejpam-5137	27	30	x	x	X
ejpam-5137	28	1	=	=	PRON
ejpam-5137	28	2	{	{	PUNCT
ejpam-5137	28	3	(	(	PUNCT
ejpam-5137	28	4	1	1	NUM
ejpam-5137	28	5	+	+	CCONJ
ejpam-5137	28	6	(	(	PUNCT
ejpam-5137	28	7	1−	1−	NUM
ejpam-5137	28	8	q)x	q)x	ADJ
ejpam-5137	28	9	)	)	PUNCT
ejpam-5137	28	10	1	1	NUM
ejpam-5137	28	11	1−q	1−q	NUM
ejpam-5137	28	12	,	,	PUNCT
ejpam-5137	28	13	if	if	SCONJ
ejpam-5137	28	14	1	1	NUM
ejpam-5137	28	15	+	+	CCONJ
ejpam-5137	28	16	(	(	PUNCT
ejpam-5137	28	17	1−	1−	NUM
ejpam-5137	28	18	q)x	q)x	X
ejpam-5137	28	19	>	>	X
ejpam-5137	28	20	0	0	NUM
ejpam-5137	28	21	,	,	PUNCT
ejpam-5137	28	22	0	0	NUM
ejpam-5137	28	23	,	,	PUNCT
ejpam-5137	28	24	otherwise	otherwise	ADV
ejpam-5137	28	25	(	(	PUNCT
ejpam-5137	28	26	5	5	X
ejpam-5137	28	27	)	)	PUNCT
ejpam-5137	28	28	the	the	DET
ejpam-5137	28	29	functions	function	NOUN
ejpam-5137	28	30	expq	expq	VERB
ejpam-5137	28	31	x	x	PUNCT
ejpam-5137	28	32	and	and	CCONJ
ejpam-5137	28	33	lnq	lnq	PROPN
ejpam-5137	28	34	x	x	AUX
ejpam-5137	28	35	converge	converge	VERB
ejpam-5137	28	36	to	to	PART
ejpam-5137	28	37	expx	expx	VERB
ejpam-5137	28	38	and	and	CCONJ
ejpam-5137	28	39	log	log	VERB
ejpam-5137	28	40	x	x	PUNCT
ejpam-5137	28	41	as	as	ADP
ejpam-5137	28	42	q	q	PROPN
ejpam-5137	28	43	→	→	SYM
ejpam-5137	28	44	1	1	NUM
ejpam-5137	28	45	,	,	PUNCT
ejpam-5137	28	46	respectively	respectively	ADV
ejpam-5137	28	47	and	and	CCONJ
ejpam-5137	28	48	the	the	DET
ejpam-5137	28	49	following	follow	VERB
ejpam-5137	28	50	relations	relation	NOUN
ejpam-5137	28	51	are	be	AUX
ejpam-5137	28	52	true	true	ADJ
ejpam-5137	28	53	,	,	PUNCT
ejpam-5137	28	54	expq(x+	expq(x+	X
ejpam-5137	28	55	y	y	NOUN
ejpam-5137	28	56	+	+	CCONJ
ejpam-5137	28	57	(	(	PUNCT
ejpam-5137	28	58	1−	1−	NUM
ejpam-5137	28	59	q)xy	q)xy	PROPN
ejpam-5137	28	60	)	)	PUNCT
ejpam-5137	28	61	=	=	PRON
ejpam-5137	28	62	expq	expq	ADJ
ejpam-5137	28	63	x	x	SYM
ejpam-5137	28	64	expq	expq	ADJ
ejpam-5137	28	65	y	y	PROPN
ejpam-5137	28	66	,	,	PUNCT
ejpam-5137	28	67	(	(	PUNCT
ejpam-5137	28	68	6	6	X
ejpam-5137	28	69	)	)	PUNCT
ejpam-5137	28	70	lnq	lnq	NOUN
ejpam-5137	28	71	xy	xy	PUNCT
ejpam-5137	29	1	=	=	PUNCT
ejpam-5137	29	2	lnq	lnq	X
ejpam-5137	30	1	x+	x+	X
ejpam-5137	31	1	lnq	lnq	PROPN
ejpam-5137	31	2	y	y	PROPN
ejpam-5137	31	3	+	+	CCONJ
ejpam-5137	31	4	(	(	PUNCT
ejpam-5137	31	5	1−	1−	NUM
ejpam-5137	31	6	q	q	NOUN
ejpam-5137	31	7	)	)	PUNCT
ejpam-5137	31	8	lnq	lnq	NOUN
ejpam-5137	32	1	x	x	X
ejpam-5137	32	2	lnq	lnq	PROPN
ejpam-5137	32	3	y.	y.	PROPN
ejpam-5137	32	4	(	(	PUNCT
ejpam-5137	32	5	7	7	NUM
ejpam-5137	32	6	)	)	PUNCT
ejpam-5137	32	7	c.	c.	NOUN
ejpam-5137	32	8	corcino	corcino	PROPN
ejpam-5137	32	9	,	,	PUNCT
ejpam-5137	32	10	r.	r.	PROPN
ejpam-5137	32	11	corcino	corcino	PROPN
ejpam-5137	32	12	,	,	PUNCT
ejpam-5137	32	13	j.	j.	PROPN
ejpam-5137	32	14	picardal	picardal	PROPN
ejpam-5137	32	15	/	/	SYM
ejpam-5137	32	16	eur	eur	PROPN
ejpam-5137	32	17	.	.	PUNCT
ejpam-5137	33	1	j.	j.	PROPN
ejpam-5137	33	2	pure	pure	PROPN
ejpam-5137	33	3	appl	appl	PROPN
ejpam-5137	33	4	.	.	PROPN
ejpam-5137	33	5	math	math	PROPN
ejpam-5137	33	6	,	,	PUNCT
ejpam-5137	33	7	17	17	NUM
ejpam-5137	33	8	(	(	PUNCT
ejpam-5137	33	9	3	3	NUM
ejpam-5137	33	10	)	)	PUNCT
ejpam-5137	33	11	(	(	PUNCT
ejpam-5137	33	12	2024	2024	NUM
ejpam-5137	33	13	)	)	PUNCT
ejpam-5137	33	14	,	,	PUNCT
ejpam-5137	33	15	1674	1674	NUM
ejpam-5137	33	16	-	-	SYM
ejpam-5137	33	17	1684	1684	NUM
ejpam-5137	33	18	1676	1676	NUM
ejpam-5137	33	19	a	a	DET
ejpam-5137	33	20	new	new	ADJ
ejpam-5137	33	21	approach	approach	NOUN
ejpam-5137	33	22	of	of	ADP
ejpam-5137	33	23	handling	handle	VERB
ejpam-5137	33	24	the	the	DET
ejpam-5137	33	25	lagrange	lagrange	NOUN
ejpam-5137	33	26	multipliers	multiplier	NOUN
ejpam-5137	33	27	involved	involve	VERB
ejpam-5137	33	28	in	in	ADP
ejpam-5137	33	29	the	the	DET
ejpam-5137	33	30	extremization	extremization	NOUN
ejpam-5137	33	31	process	process	NOUN
ejpam-5137	33	32	leading	lead	VERB
ejpam-5137	33	33	to	to	ADP
ejpam-5137	33	34	tsallis	tsallis	PART
ejpam-5137	33	35	’	'	PUNCT
ejpam-5137	33	36	statistical	statistical	ADJ
ejpam-5137	33	37	operator	operator	NOUN
ejpam-5137	33	38	was	be	AUX
ejpam-5137	33	39	presented	present	VERB
ejpam-5137	33	40	in	in	ADP
ejpam-5137	33	41	[	[	X
ejpam-5137	33	42	9	9	NUM
ejpam-5137	33	43	]	]	PUNCT
ejpam-5137	33	44	.	.	PUNCT
ejpam-5137	34	1	to	to	PART
ejpam-5137	34	2	understand	understand	VERB
ejpam-5137	34	3	this	this	DET
ejpam-5137	34	4	new	new	ADJ
ejpam-5137	34	5	approach	approach	NOUN
ejpam-5137	34	6	,	,	PUNCT
ejpam-5137	34	7	the	the	DET
ejpam-5137	34	8	following	follow	VERB
ejpam-5137	34	9	discussion	discussion	NOUN
ejpam-5137	34	10	taken	take	VERB
ejpam-5137	34	11	from	from	ADP
ejpam-5137	34	12	[	[	X
ejpam-5137	34	13	9	9	NUM
ejpam-5137	34	14	]	]	PUNCT
ejpam-5137	34	15	is	be	AUX
ejpam-5137	34	16	provided	provide	VERB
ejpam-5137	34	17	.	.	PUNCT
ejpam-5137	35	1	the	the	DET
ejpam-5137	35	2	tsallis	tsallis	ADJ
ejpam-5137	35	3	’	'	PUNCT
ejpam-5137	35	4	generalized	generalized	ADJ
ejpam-5137	35	5	entropy	entropy	NOUN
ejpam-5137	35	6	will	will	AUX
ejpam-5137	35	7	be	be	AUX
ejpam-5137	35	8	defined	define	VERB
ejpam-5137	35	9	as	as	ADP
ejpam-5137	35	10	follows	follow	VERB
ejpam-5137	35	11	,	,	PUNCT
ejpam-5137	35	12	sq	sq	PROPN
ejpam-5137	35	13	k	k	X
ejpam-5137	35	14	=	=	PUNCT
ejpam-5137	36	1	−	−	PROPN
ejpam-5137	36	2	ω∑	ω∑	NUM
ejpam-5137	37	1	i=1	i=1	PROPN
ejpam-5137	38	1	pi	pi	NOUN
ejpam-5137	38	2	lnq	lnq	PROPN
ejpam-5137	38	3	pi	pi	PROPN
ejpam-5137	38	4	,	,	PUNCT
ejpam-5137	38	5	(	(	PUNCT
ejpam-5137	38	6	8)	8)	NUM
ejpam-5137	38	7	where	where	SCONJ
ejpam-5137	38	8	k	k	PROPN
ejpam-5137	38	9	≡	≡	PROPN
ejpam-5137	38	10	k(q	k(q	PROPN
ejpam-5137	38	11	)	)	PUNCT
ejpam-5137	38	12	tends	tend	VERB
ejpam-5137	38	13	to	to	ADP
ejpam-5137	38	14	the	the	DET
ejpam-5137	38	15	boltzmann	boltzmann	PROPN
ejpam-5137	38	16	constant	constant	PROPN
ejpam-5137	38	17	kb	kb	PROPN
ejpam-5137	38	18	in	in	ADP
ejpam-5137	38	19	the	the	DET
ejpam-5137	38	20	limit	limit	NOUN
ejpam-5137	38	21	q	q	X
ejpam-5137	38	22	→	→	SYM
ejpam-5137	38	23	1	1	NUM
ejpam-5137	39	1	[	[	SYM
ejpam-5137	39	2	14	14	NUM
ejpam-5137	39	3	]	]	SYM
ejpam-5137	39	4	subject	subject	NOUN
ejpam-5137	39	5	to	to	ADP
ejpam-5137	39	6	the	the	DET
ejpam-5137	39	7	constraints	constraint	NOUN
ejpam-5137	39	8	w∑	w∑	PROPN
ejpam-5137	40	1	i=1	i=1	PRON
ejpam-5137	40	2	pi	pi	NOUN
ejpam-5137	41	1	=	=	SYM
ejpam-5137	41	2	1	1	NUM
ejpam-5137	41	3	,	,	PUNCT
ejpam-5137	41	4	(	(	PUNCT
ejpam-5137	41	5	9	9	NUM
ejpam-5137	41	6	)	)	PUNCT
ejpam-5137	41	7	∑w	∑w	PROPN
ejpam-5137	42	1	i=1	i=1	PART
ejpam-5137	42	2	p	p	X
ejpam-5137	42	3	q	q	X
ejpam-5137	42	4	io	io	X
ejpam-5137	42	5	(	(	PUNCT
ejpam-5137	42	6	i	i	NOUN
ejpam-5137	42	7	)	)	PUNCT
ejpam-5137	42	8	j∑w	j∑w	PROPN
ejpam-5137	42	9	i=1	i=1	PRON
ejpam-5137	43	1	p	p	X
ejpam-5137	43	2	q	q	X
ejpam-5137	44	1	i	i	NOUN
ejpam-5137	44	2	=	=	PUNCT
ejpam-5137	44	3	⟨⟨oj⟩⟩q	⟨⟨oj⟩⟩q	NOUN
ejpam-5137	44	4	,	,	PUNCT
ejpam-5137	44	5	(	(	PUNCT
ejpam-5137	44	6	10	10	NUM
ejpam-5137	44	7	)	)	PUNCT
ejpam-5137	44	8	where	where	SCONJ
ejpam-5137	44	9	the	the	DET
ejpam-5137	44	10	pi	pi	NOUN
ejpam-5137	44	11	is	be	AUX
ejpam-5137	44	12	the	the	DET
ejpam-5137	44	13	probability	probability	NOUN
ejpam-5137	44	14	assigned	assign	VERB
ejpam-5137	44	15	to	to	ADP
ejpam-5137	44	16	the	the	DET
ejpam-5137	44	17	microscopic	microscopic	ADJ
ejpam-5137	44	18	configuration	configuration	NOUN
ejpam-5137	45	1	i	i	PRON
ejpam-5137	45	2	(	(	PUNCT
ejpam-5137	45	3	i	i	NOUN
ejpam-5137	45	4	=	=	NOUN
ejpam-5137	45	5	1	1	NUM
ejpam-5137	45	6	,	,	PUNCT
ejpam-5137	45	7	2	2	NUM
ejpam-5137	45	8	,	,	PUNCT
ejpam-5137	45	9	.	.	PUNCT
ejpam-5137	45	10	.	.	PUNCT
ejpam-5137	45	11	.	.	PUNCT
ejpam-5137	46	1	,	,	PUNCT
ejpam-5137	46	2	w	w	X
ejpam-5137	46	3	)	)	PUNCT
ejpam-5137	46	4	and	and	CCONJ
ejpam-5137	46	5	theo	theo	PROPN
ejpam-5137	46	6	(	(	PUNCT
ejpam-5137	46	7	i	i	NOUN
ejpam-5137	46	8	)	)	PUNCT
ejpam-5137	46	9	j	j	PROPN
ejpam-5137	46	10	denote	denote	VERB
ejpam-5137	46	11	the	the	DET
ejpam-5137	46	12	n	n	CCONJ
ejpam-5137	46	13	relevant	relevant	ADJ
ejpam-5137	46	14	observables	observable	NOUN
ejpam-5137	46	15	whose	whose	DET
ejpam-5137	46	16	generalized	generalized	ADJ
ejpam-5137	46	17	expectation	expectation	NOUN
ejpam-5137	46	18	values	value	NOUN
ejpam-5137	46	19	⟨⟨oj⟩⟩q	⟨⟨oj⟩⟩q	NOUN
ejpam-5137	46	20	are	be	AUX
ejpam-5137	46	21	a	a	DET
ejpam-5137	46	22	priori	priori	ADV
ejpam-5137	46	23	known	know	VERB
ejpam-5137	46	24	.	.	PUNCT
ejpam-5137	47	1	following	follow	VERB
ejpam-5137	47	2	the	the	DET
ejpam-5137	47	3	generalization	generalization	NOUN
ejpam-5137	47	4	in	in	ADP
ejpam-5137	47	5	[	[	X
ejpam-5137	47	6	3	3	NUM
ejpam-5137	47	7	]	]	PUNCT
ejpam-5137	47	8	,	,	PUNCT
ejpam-5137	47	9	the	the	DET
ejpam-5137	47	10	second	second	ADJ
ejpam-5137	47	11	generalized	generalize	VERB
ejpam-5137	47	12	tsallis	tsallis	NOUN
ejpam-5137	47	13	’	'	PUNCT
ejpam-5137	47	14	entropy	entropy	NOUN
ejpam-5137	47	15	that	that	PRON
ejpam-5137	47	16	will	will	AUX
ejpam-5137	47	17	be	be	AUX
ejpam-5137	47	18	used	use	VERB
ejpam-5137	47	19	is	be	AUX
ejpam-5137	47	20	defined	define	VERB
ejpam-5137	47	21	by	by	ADP
ejpam-5137	47	22	sq	sq	INTJ
ejpam-5137	47	23	k	k	PROPN
ejpam-5137	47	24	=	=	PUNCT
ejpam-5137	48	1	−	−	PROPN
ejpam-5137	48	2	ω∑	ω∑	NUM
ejpam-5137	48	3	i=1	i=1	PROPN
ejpam-5137	48	4	pqi	pqi	NOUN
ejpam-5137	48	5	lnq	lnq	PROPN
ejpam-5137	48	6	pi	pi	PROPN
ejpam-5137	48	7	.	.	PUNCT
ejpam-5137	49	1	(	(	PUNCT
ejpam-5137	49	2	11	11	NUM
ejpam-5137	49	3	)	)	PUNCT
ejpam-5137	49	4	the	the	DET
ejpam-5137	49	5	method	method	NOUN
ejpam-5137	49	6	of	of	ADP
ejpam-5137	49	7	lagrange	lagrange	NOUN
ejpam-5137	49	8	multipliers	multiplier	NOUN
ejpam-5137	49	9	requires	require	VERB
ejpam-5137	49	10	to	to	PART
ejpam-5137	49	11	maximize	maximize	VERB
ejpam-5137	49	12	the	the	DET
ejpam-5137	49	13	function	function	NOUN
ejpam-5137	50	1	f	f	NOUN
ejpam-5137	50	2	=	=	SYM
ejpam-5137	50	3	sq	sq	PROPN
ejpam-5137	50	4	k	k	NOUN
ejpam-5137	50	5	−	−	PROPN
ejpam-5137	50	6	λ0	λ0	NOUN
ejpam-5137	50	7	(	(	PUNCT
ejpam-5137	50	8	w∑	w∑	NUM
ejpam-5137	50	9	i=1	i=1	NUM
ejpam-5137	50	10	pi	pi	NOUN
ejpam-5137	50	11	−	−	NOUN
ejpam-5137	50	12	1	1	NUM
ejpam-5137	50	13	)	)	PUNCT
ejpam-5137	50	14	−	−	PROPN
ejpam-5137	51	1	s∑	s∑	PROPN
ejpam-5137	51	2	i=1	i=1	PROPN
ejpam-5137	52	1	λj	λj	PROPN
ejpam-5137	52	2	(	(	PUNCT
ejpam-5137	52	3	∑w	∑w	NOUN
ejpam-5137	52	4	i=0	i=0	PROPN
ejpam-5137	52	5	p	p	X
ejpam-5137	52	6	q	q	X
ejpam-5137	52	7	io	io	X
ejpam-5137	52	8	(	(	PUNCT
ejpam-5137	52	9	i	i	NOUN
ejpam-5137	52	10	)	)	PUNCT
ejpam-5137	52	11	j∑w	j∑w	PROPN
ejpam-5137	52	12	i=1	i=1	PRON
ejpam-5137	53	1	p	p	X
ejpam-5137	53	2	q	q	X
ejpam-5137	54	1	i	i	PRON
ejpam-5137	54	2	−	−	PROPN
ejpam-5137	54	3	⟨⟨oj⟩⟩q	⟨⟨oj⟩⟩q	PROPN
ejpam-5137	54	4	)	)	PUNCT
ejpam-5137	54	5	.	.	PUNCT
ejpam-5137	55	1	(	(	PUNCT
ejpam-5137	55	2	12	12	NUM
ejpam-5137	55	3	)	)	PUNCT
ejpam-5137	55	4	the	the	DET
ejpam-5137	55	5	new	new	ADJ
ejpam-5137	55	6	approach	approach	NOUN
ejpam-5137	55	7	replaces	replace	VERB
ejpam-5137	55	8	(	(	PUNCT
ejpam-5137	55	9	12	12	NUM
ejpam-5137	55	10	)	)	PUNCT
ejpam-5137	55	11	by	by	ADP
ejpam-5137	55	12	f	f	PROPN
ejpam-5137	55	13	=	=	SYM
ejpam-5137	55	14	sq	sq	PROPN
ejpam-5137	55	15	k	k	PROPN
ejpam-5137	55	16	−	−	PROPN
ejpam-5137	55	17	α0	α0	PROPN
ejpam-5137	55	18	(	(	PUNCT
ejpam-5137	55	19	w∑	w∑	NUM
ejpam-5137	55	20	i=1	i=1	NUM
ejpam-5137	55	21	pi	pi	NOUN
ejpam-5137	55	22	−	−	NOUN
ejpam-5137	55	23	1	1	NUM
ejpam-5137	55	24	)	)	PUNCT
ejpam-5137	55	25	−	−	PROPN
ejpam-5137	56	1	s∑	s∑	PROPN
ejpam-5137	56	2	j=1	j=1	NOUN
ejpam-5137	56	3	αj	αj	PROPN
ejpam-5137	56	4	w∑	w∑	PROPN
ejpam-5137	56	5	i=1	i=1	PROPN
ejpam-5137	56	6	pqi	pqi	NOUN
ejpam-5137	56	7	(	(	PUNCT
ejpam-5137	56	8	o	o	X
ejpam-5137	56	9	(	(	PUNCT
ejpam-5137	56	10	i	i	NOUN
ejpam-5137	56	11	)	)	PUNCT
ejpam-5137	56	12	j	j	PROPN
ejpam-5137	56	13	−	−	PROPN
ejpam-5137	56	14	⟨⟨oj⟩⟩q	⟨⟨oj⟩⟩q	NOUN
ejpam-5137	56	15	)	)	PUNCT
ejpam-5137	56	16	,	,	PUNCT
ejpam-5137	56	17	(	(	PUNCT
ejpam-5137	56	18	13	13	NUM
ejpam-5137	56	19	)	)	PUNCT
ejpam-5137	56	20	which	which	PRON
ejpam-5137	56	21	will	will	AUX
ejpam-5137	56	22	yield	yield	VERB
ejpam-5137	56	23	the	the	DET
ejpam-5137	56	24	same	same	ADJ
ejpam-5137	56	25	pi	pi	NOUN
ejpam-5137	56	26	and	and	CCONJ
ejpam-5137	56	27	the	the	DET
ejpam-5137	56	28	relation	relation	NOUN
ejpam-5137	56	29	of	of	ADP
ejpam-5137	56	30	the	the	DET
ejpam-5137	56	31	lagrange	lagrange	NOUN
ejpam-5137	56	32	multipliers	multiplier	NOUN
ejpam-5137	56	33	λj	λj	PROPN
ejpam-5137	56	34	and	and	CCONJ
ejpam-5137	56	35	αj	αj	PROPN
ejpam-5137	56	36	is	be	AUX
ejpam-5137	56	37	given	give	VERB
ejpam-5137	56	38	by	by	ADP
ejpam-5137	56	39	λj	λj	PROPN
ejpam-5137	56	40	=	=	SYM
ejpam-5137	56	41	αj	αj	NOUN
ejpam-5137	56	42	w∑	w∑	X
ejpam-5137	57	1	i=1	i=1	PROPN
ejpam-5137	57	2	pqi	pqi	NOUN
ejpam-5137	57	3	.	.	PUNCT
ejpam-5137	58	1	(	(	PUNCT
ejpam-5137	58	2	14	14	NUM
ejpam-5137	58	3	)	)	PUNCT
ejpam-5137	58	4	the	the	DET
ejpam-5137	58	5	core	core	NOUN
ejpam-5137	58	6	distributions	distribution	NOUN
ejpam-5137	58	7	of	of	ADP
ejpam-5137	58	8	mete	mete	ADJ
ejpam-5137	58	9	are	be	AUX
ejpam-5137	58	10	the	the	DET
ejpam-5137	58	11	spatial	spatial	ADJ
ejpam-5137	58	12	structure	structure	NOUN
ejpam-5137	58	13	function	function	NOUN
ejpam-5137	58	14	(	(	PUNCT
ejpam-5137	58	15	ssf	ssf	NOUN
ejpam-5137	58	16	)	)	PUNCT
ejpam-5137	58	17	and	and	CCONJ
ejpam-5137	58	18	the	the	DET
ejpam-5137	58	19	ecosystem	ecosystem	NOUN
ejpam-5137	58	20	structure	structure	NOUN
ejpam-5137	58	21	function	function	NOUN
ejpam-5137	58	22	(	(	PUNCT
ejpam-5137	58	23	esf	esf	PROPN
ejpam-5137	58	24	)	)	PUNCT
ejpam-5137	58	25	.	.	PUNCT
ejpam-5137	59	1	the	the	DET
ejpam-5137	59	2	ssf	ssf	NOUN
ejpam-5137	59	3	is	be	AUX
ejpam-5137	59	4	a	a	DET
ejpam-5137	59	5	by	by	ADP
ejpam-5137	59	6	-	-	PUNCT
ejpam-5137	59	7	species	species	NOUN
ejpam-5137	59	8	prediction	prediction	NOUN
ejpam-5137	59	9	of	of	ADP
ejpam-5137	59	10	the	the	DET
ejpam-5137	59	11	clustering	clustering	NOUN
ejpam-5137	59	12	of	of	ADP
ejpam-5137	59	13	individuals	individual	NOUN
ejpam-5137	59	14	over	over	ADP
ejpam-5137	59	15	space	space	NOUN
ejpam-5137	59	16	.	.	PUNCT
ejpam-5137	60	1	the	the	DET
ejpam-5137	60	2	esf	esf	PROPN
ejpam-5137	60	3	is	be	AUX
ejpam-5137	60	4	a	a	DET
ejpam-5137	60	5	kind	kind	NOUN
ejpam-5137	60	6	of	of	ADP
ejpam-5137	60	7	“	"	PUNCT
ejpam-5137	60	8	container	container	NOUN
ejpam-5137	60	9	function	function	NOUN
ejpam-5137	60	10	”	"	PUNCT
ejpam-5137	60	11	that	that	PRON
ejpam-5137	60	12	describes	describe	VERB
ejpam-5137	60	13	the	the	DET
ejpam-5137	60	14	probability	probability	NOUN
ejpam-5137	60	15	space	space	NOUN
ejpam-5137	60	16	of	of	ADP
ejpam-5137	60	17	how	how	SCONJ
ejpam-5137	60	18	abundances	abundance	NOUN
ejpam-5137	60	19	are	be	AUX
ejpam-5137	60	20	assigned	assign	VERB
ejpam-5137	60	21	to	to	ADP
ejpam-5137	60	22	species	specie	NOUN
ejpam-5137	60	23	and	and	CCONJ
ejpam-5137	60	24	how	how	SCONJ
ejpam-5137	60	25	metabolic	metabolic	ADJ
ejpam-5137	60	26	energy	energy	NOUN
ejpam-5137	60	27	c.	c.	PROPN
ejpam-5137	60	28	corcino	corcino	PROPN
ejpam-5137	60	29	,	,	PUNCT
ejpam-5137	60	30	r.	r.	PROPN
ejpam-5137	60	31	corcino	corcino	PROPN
ejpam-5137	60	32	,	,	PUNCT
ejpam-5137	60	33	j.	j.	PROPN
ejpam-5137	60	34	picardal	picardal	PROPN
ejpam-5137	60	35	/	/	SYM
ejpam-5137	60	36	eur	eur	PROPN
ejpam-5137	60	37	.	.	PUNCT
ejpam-5137	61	1	j.	j.	PROPN
ejpam-5137	61	2	pure	pure	PROPN
ejpam-5137	61	3	appl	appl	PROPN
ejpam-5137	61	4	.	.	PROPN
ejpam-5137	61	5	math	math	PROPN
ejpam-5137	61	6	,	,	PUNCT
ejpam-5137	61	7	17	17	NUM
ejpam-5137	61	8	(	(	PUNCT
ejpam-5137	61	9	3	3	NUM
ejpam-5137	61	10	)	)	PUNCT
ejpam-5137	61	11	(	(	PUNCT
ejpam-5137	61	12	2024	2024	NUM
ejpam-5137	61	13	)	)	PUNCT
ejpam-5137	61	14	,	,	PUNCT
ejpam-5137	61	15	1674	1674	NUM
ejpam-5137	61	16	-	-	SYM
ejpam-5137	61	17	1684	1684	NUM
ejpam-5137	61	18	1677	1677	NUM
ejpam-5137	61	19	is	be	AUX
ejpam-5137	61	20	partitioned	partition	VERB
ejpam-5137	61	21	over	over	ADP
ejpam-5137	61	22	individuals	individual	NOUN
ejpam-5137	61	23	in	in	ADP
ejpam-5137	61	24	a	a	DET
ejpam-5137	61	25	community.these	community.these	ADJ
ejpam-5137	61	26	core	core	NOUN
ejpam-5137	61	27	functions	function	NOUN
ejpam-5137	61	28	of	of	ADP
ejpam-5137	61	29	the	the	DET
ejpam-5137	61	30	maxent	maxent	NOUN
ejpam-5137	61	31	were	be	AUX
ejpam-5137	61	32	derived	derive	VERB
ejpam-5137	61	33	in	in	ADP
ejpam-5137	61	34	[	[	X
ejpam-5137	61	35	1	1	NUM
ejpam-5137	61	36	]	]	PUNCT
ejpam-5137	61	37	using	use	VERB
ejpam-5137	61	38	the	the	DET
ejpam-5137	61	39	shannon	shannon	PROPN
ejpam-5137	61	40	entropy	entropy	PROPN
ejpam-5137	61	41	.	.	PUNCT
ejpam-5137	62	1	a	a	DET
ejpam-5137	62	2	phase	phase	NOUN
ejpam-5137	62	3	space	space	NOUN
ejpam-5137	62	4	entropy	entropy	NOUN
ejpam-5137	62	5	model	model	NOUN
ejpam-5137	62	6	of	of	ADP
ejpam-5137	62	7	ecosystems	ecosystem	NOUN
ejpam-5137	62	8	was	be	AUX
ejpam-5137	62	9	developed	develop	VERB
ejpam-5137	62	10	in	in	ADP
ejpam-5137	62	11	[	[	X
ejpam-5137	62	12	7	7	NUM
ejpam-5137	62	13	]	]	PUNCT
ejpam-5137	62	14	and	and	CCONJ
ejpam-5137	62	15	ecosystem	ecosystem	NOUN
ejpam-5137	62	16	equilibria	equilibrium	NOUN
ejpam-5137	62	17	was	be	AUX
ejpam-5137	62	18	specified	specify	VERB
ejpam-5137	62	19	by	by	ADP
ejpam-5137	62	20	conservation	conservation	NOUN
ejpam-5137	62	21	of	of	ADP
ejpam-5137	62	22	biomass	biomass	NOUN
ejpam-5137	62	23	and	and	CCONJ
ejpam-5137	62	24	total	total	ADJ
ejpam-5137	62	25	metabolic	metabolic	NOUN
ejpam-5137	62	26	energy	energy	NOUN
ejpam-5137	62	27	.	.	PUNCT
ejpam-5137	63	1	a	a	DET
ejpam-5137	63	2	new	new	ADJ
ejpam-5137	63	3	proof	proof	NOUN
ejpam-5137	63	4	of	of	ADP
ejpam-5137	63	5	the	the	DET
ejpam-5137	63	6	theorems	theorem	NOUN
ejpam-5137	63	7	on	on	ADP
ejpam-5137	63	8	the	the	DET
ejpam-5137	63	9	maximum	maximum	PROPN
ejpam-5137	63	10	entropy	entropy	PROPN
ejpam-5137	63	11	principle	principle	NOUN
ejpam-5137	63	12	in	in	ADP
ejpam-5137	63	13	tsallis	tsallis	PROPN
ejpam-5137	63	14	statistics	statistic	NOUN
ejpam-5137	63	15	without	without	ADP
ejpam-5137	63	16	using	use	VERB
ejpam-5137	63	17	the	the	DET
ejpam-5137	63	18	lagrange	lagrange	NOUN
ejpam-5137	63	19	multipliers	multiplier	NOUN
ejpam-5137	63	20	method	method	NOUN
ejpam-5137	63	21	was	be	AUX
ejpam-5137	63	22	presented	present	VERB
ejpam-5137	63	23	in	in	ADP
ejpam-5137	63	24	[	[	X
ejpam-5137	63	25	3	3	NUM
ejpam-5137	63	26	]	]	PUNCT
ejpam-5137	63	27	.	.	PUNCT
ejpam-5137	64	1	analysis	analysis	NOUN
ejpam-5137	64	2	of	of	ADP
ejpam-5137	64	3	the	the	DET
ejpam-5137	64	4	climate	climate	NOUN
ejpam-5137	64	5	fluctuations	fluctuation	NOUN
ejpam-5137	64	6	in	in	ADP
ejpam-5137	64	7	past	past	ADJ
ejpam-5137	64	8	deuterium	deuterium	NOUN
ejpam-5137	64	9	records	record	NOUN
ejpam-5137	64	10	corresponding	correspond	VERB
ejpam-5137	64	11	to	to	ADP
ejpam-5137	64	12	the	the	DET
ejpam-5137	64	13	last	last	ADJ
ejpam-5137	64	14	glacial	glacial	ADJ
ejpam-5137	64	15	period	period	NOUN
ejpam-5137	64	16	was	be	AUX
ejpam-5137	64	17	done	do	VERB
ejpam-5137	64	18	in	in	ADP
ejpam-5137	64	19	[	[	X
ejpam-5137	64	20	5	5	NUM
ejpam-5137	64	21	]	]	PUNCT
ejpam-5137	64	22	using	use	VERB
ejpam-5137	64	23	nonadditive	nonadditive	ADJ
ejpam-5137	64	24	entropy	entropy	NOUN
ejpam-5137	64	25	on	on	ADP
ejpam-5137	64	26	which	which	PRON
ejpam-5137	64	27	nonextensive	nonextensive	ADJ
ejpam-5137	64	28	statistical	statistical	ADJ
ejpam-5137	64	29	mechanics	mechanic	NOUN
ejpam-5137	64	30	is	be	AUX
ejpam-5137	64	31	based	base	VERB
ejpam-5137	64	32	.	.	PUNCT
ejpam-5137	65	1	in	in	ADP
ejpam-5137	65	2	this	this	DET
ejpam-5137	65	3	paper	paper	NOUN
ejpam-5137	65	4	,	,	PUNCT
ejpam-5137	65	5	core	core	NOUN
ejpam-5137	65	6	functions	function	NOUN
ejpam-5137	65	7	of	of	ADP
ejpam-5137	65	8	mete	mete	NOUN
ejpam-5137	65	9	are	be	AUX
ejpam-5137	65	10	generalized	generalize	VERB
ejpam-5137	65	11	by	by	ADP
ejpam-5137	65	12	deriving	derive	VERB
ejpam-5137	65	13	the	the	DET
ejpam-5137	65	14	corresponding	correspond	VERB
ejpam-5137	65	15	functions	function	NOUN
ejpam-5137	65	16	in	in	ADP
ejpam-5137	65	17	the	the	DET
ejpam-5137	65	18	tsallis	tsallis	ADJ
ejpam-5137	65	19	q	q	NOUN
ejpam-5137	65	20	-	-	PUNCT
ejpam-5137	65	21	entropy	entropy	NOUN
ejpam-5137	65	22	given	give	VERB
ejpam-5137	65	23	in	in	ADP
ejpam-5137	65	24	(	(	PUNCT
ejpam-5137	65	25	8)	8)	NUM
ejpam-5137	65	26	and	and	CCONJ
ejpam-5137	65	27	(	(	PUNCT
ejpam-5137	65	28	11	11	NUM
ejpam-5137	65	29	)	)	PUNCT
ejpam-5137	65	30	.	.	PUNCT
ejpam-5137	66	1	the	the	DET
ejpam-5137	66	2	ecological	ecological	ADJ
ejpam-5137	66	3	state	state	NOUN
ejpam-5137	66	4	variables	variable	NOUN
ejpam-5137	66	5	introduced	introduce	VERB
ejpam-5137	66	6	in	in	ADP
ejpam-5137	66	7	[	[	X
ejpam-5137	66	8	1	1	NUM
ejpam-5137	66	9	]	]	PUNCT
ejpam-5137	66	10	namely	namely	ADV
ejpam-5137	66	11	,	,	PUNCT
ejpam-5137	66	12	a	a	DET
ejpam-5137	66	13	,	,	PUNCT
ejpam-5137	66	14	h	h	NOUN
ejpam-5137	66	15	,	,	PUNCT
ejpam-5137	66	16	n	n	CCONJ
ejpam-5137	66	17	,	,	PUNCT
ejpam-5137	66	18	and	and	CCONJ
ejpam-5137	66	19	e	e	NOUN
ejpam-5137	66	20	,	,	PUNCT
ejpam-5137	66	21	representing	represent	VERB
ejpam-5137	66	22	respectively	respectively	ADV
ejpam-5137	66	23	,	,	PUNCT
ejpam-5137	66	24	total	total	ADJ
ejpam-5137	66	25	area	area	NOUN
ejpam-5137	66	26	,	,	PUNCT
ejpam-5137	66	27	total	total	ADJ
ejpam-5137	66	28	number	number	NOUN
ejpam-5137	66	29	of	of	ADP
ejpam-5137	66	30	species	specie	NOUN
ejpam-5137	66	31	,	,	PUNCT
ejpam-5137	66	32	total	total	ADJ
ejpam-5137	66	33	abundance	abundance	NOUN
ejpam-5137	66	34	and	and	CCONJ
ejpam-5137	66	35	total	total	ADJ
ejpam-5137	66	36	metabolic	metabolic	NOUN
ejpam-5137	66	37	energy	energy	NOUN
ejpam-5137	66	38	of	of	ADP
ejpam-5137	66	39	an	an	DET
ejpam-5137	66	40	ecological	ecological	ADJ
ejpam-5137	66	41	system	system	NOUN
ejpam-5137	66	42	will	will	AUX
ejpam-5137	66	43	be	be	AUX
ejpam-5137	66	44	used	use	VERB
ejpam-5137	66	45	in	in	ADP
ejpam-5137	66	46	the	the	DET
ejpam-5137	66	47	discussion	discussion	NOUN
ejpam-5137	66	48	below	below	ADV
ejpam-5137	66	49	.	.	PUNCT
ejpam-5137	67	1	2	2	X
ejpam-5137	67	2	.	.	X
ejpam-5137	67	3	generalization	generalization	NOUN
ejpam-5137	67	4	of	of	ADP
ejpam-5137	67	5	spatial	spatial	ADJ
ejpam-5137	67	6	structure	structure	NOUN
ejpam-5137	67	7	function	function	NOUN
ejpam-5137	67	8	spatial	spatial	ADJ
ejpam-5137	67	9	structure	structure	NOUN
ejpam-5137	67	10	function	function	NOUN
ejpam-5137	67	11	(	(	PUNCT
ejpam-5137	67	12	ssf	ssf	NOUN
ejpam-5137	67	13	)	)	PUNCT
ejpam-5137	67	14	also	also	ADV
ejpam-5137	67	15	called	call	VERB
ejpam-5137	67	16	”	"	PUNCT
ejpam-5137	67	17	pi	pi	NOUN
ejpam-5137	67	18	distribution	distribution	NOUN
ejpam-5137	67	19	”	"	PUNCT
ejpam-5137	68	1	[	[	X
ejpam-5137	68	2	1	1	NUM
ejpam-5137	68	3	]	]	PUNCT
ejpam-5137	68	4	,	,	PUNCT
ejpam-5137	68	5	is	be	AUX
ejpam-5137	68	6	defined	define	VERB
ejpam-5137	68	7	as	as	ADP
ejpam-5137	68	8	the	the	DET
ejpam-5137	68	9	probability	probability	NOUN
ejpam-5137	68	10	that	that	SCONJ
ejpam-5137	68	11	n	n	PRON
ejpam-5137	68	12	individuals	individual	NOUN
ejpam-5137	68	13	of	of	ADP
ejpam-5137	68	14	a	a	DET
ejpam-5137	68	15	species	specie	NOUN
ejpam-5137	68	16	are	be	AUX
ejpam-5137	68	17	found	find	VERB
ejpam-5137	68	18	in	in	ADP
ejpam-5137	68	19	a	a	DET
ejpam-5137	68	20	cell	cell	NOUN
ejpam-5137	68	21	area	area	NOUN
ejpam-5137	68	22	a	a	PRON
ejpam-5137	68	23	if	if	SCONJ
ejpam-5137	68	24	it	it	PRON
ejpam-5137	68	25	has	have	VERB
ejpam-5137	68	26	n0	n0	ADJ
ejpam-5137	68	27	individuals	individual	NOUN
ejpam-5137	68	28	in	in	ADP
ejpam-5137	68	29	the	the	DET
ejpam-5137	68	30	total	total	ADJ
ejpam-5137	68	31	area	area	NOUN
ejpam-5137	68	32	a0	a0	NOUN
ejpam-5137	68	33	under	under	ADP
ejpam-5137	68	34	consideration	consideration	NOUN
ejpam-5137	68	35	.	.	PUNCT
ejpam-5137	69	1	the	the	DET
ejpam-5137	69	2	variables	variable	NOUN
ejpam-5137	69	3	involved	involve	VERB
ejpam-5137	69	4	in	in	ADP
ejpam-5137	69	5	the	the	DET
ejpam-5137	69	6	function	function	NOUN
ejpam-5137	69	7	are	be	AUX
ejpam-5137	69	8	a	a	PRON
ejpam-5137	69	9	and	and	CCONJ
ejpam-5137	69	10	n	n	PRON
ejpam-5137	69	11	which	which	PRON
ejpam-5137	69	12	is	be	AUX
ejpam-5137	69	13	the	the	DET
ejpam-5137	69	14	abundance	abundance	NOUN
ejpam-5137	69	15	of	of	ADP
ejpam-5137	69	16	a	a	DET
ejpam-5137	69	17	single	single	ADJ
ejpam-5137	69	18	species	specie	NOUN
ejpam-5137	69	19	at	at	ADP
ejpam-5137	69	20	the	the	DET
ejpam-5137	69	21	total	total	ADJ
ejpam-5137	69	22	spatial	spatial	ADJ
ejpam-5137	69	23	scale	scale	NOUN
ejpam-5137	69	24	.	.	PUNCT
ejpam-5137	70	1	theorem	theorem	VERB
ejpam-5137	70	2	2.1	2.1	NUM
ejpam-5137	70	3	.	.	PUNCT
ejpam-5137	71	1	the	the	DET
ejpam-5137	71	2	generalized	generalized	ADJ
ejpam-5137	71	3	spatial	spatial	ADJ
ejpam-5137	71	4	structure	structure	NOUN
ejpam-5137	71	5	function	function	NOUN
ejpam-5137	71	6	(	(	PUNCT
ejpam-5137	71	7	ssf	ssf	PROPN
ejpam-5137	71	8	)	)	PUNCT
ejpam-5137	71	9	,	,	PUNCT
ejpam-5137	71	10	denoted	denote	VERB
ejpam-5137	71	11	by	by	ADP
ejpam-5137	71	12	π(n	π(n	PROPN
ejpam-5137	71	13	,	,	PUNCT
ejpam-5137	71	14	q	q	NOUN
ejpam-5137	71	15	)	)	PUNCT
ejpam-5137	71	16	,	,	PUNCT
ejpam-5137	71	17	is	be	AUX
ejpam-5137	71	18	given	give	VERB
ejpam-5137	71	19	by	by	ADP
ejpam-5137	71	20	π(n	π(n	PROPN
ejpam-5137	71	21	,	,	PUNCT
ejpam-5137	71	22	q	q	X
ejpam-5137	71	23	)	)	PUNCT
ejpam-5137	71	24	=	=	SYM
ejpam-5137	71	25	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	71	26	µq))∑n0	µq))∑n0	X
ejpam-5137	71	27	n=1	n=1	PROPN
ejpam-5137	71	28	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	71	29	µq	µq	PROPN
ejpam-5137	71	30	)	)	PUNCT
ejpam-5137	71	31	)	)	PUNCT
ejpam-5137	71	32	.	.	PUNCT
ejpam-5137	72	1	(	(	PUNCT
ejpam-5137	72	2	15	15	X
ejpam-5137	72	3	)	)	PUNCT
ejpam-5137	72	4	proof	proof	NOUN
ejpam-5137	72	5	.	.	PUNCT
ejpam-5137	73	1	the	the	DET
ejpam-5137	73	2	generalization	generalization	NOUN
ejpam-5137	73	3	of	of	ADP
ejpam-5137	73	4	the	the	DET
ejpam-5137	73	5	spatial	spatial	ADJ
ejpam-5137	73	6	structure	structure	NOUN
ejpam-5137	73	7	function	function	NOUN
ejpam-5137	73	8	is	be	AUX
ejpam-5137	73	9	obtained	obtain	VERB
ejpam-5137	73	10	using	use	VERB
ejpam-5137	73	11	the	the	DET
ejpam-5137	73	12	tsallis	tsallis	ADJ
ejpam-5137	73	13	’	'	PUNCT
ejpam-5137	73	14	q	q	NOUN
ejpam-5137	73	15	-	-	PUNCT
ejpam-5137	73	16	entropy	entropy	NOUN
ejpam-5137	73	17	(	(	PUNCT
ejpam-5137	73	18	11	11	NUM
ejpam-5137	73	19	)	)	PUNCT
ejpam-5137	73	20	subject	subject	NOUN
ejpam-5137	73	21	to	to	ADP
ejpam-5137	73	22	the	the	DET
ejpam-5137	73	23	normalization	normalization	NOUN
ejpam-5137	73	24	constraint	constraint	NOUN
ejpam-5137	73	25	which	which	PRON
ejpam-5137	73	26	is	be	AUX
ejpam-5137	73	27	given	give	VERB
ejpam-5137	73	28	by	by	ADP
ejpam-5137	73	29	n∑	n∑	PROPN
ejpam-5137	73	30	n=1	n=1	PROPN
ejpam-5137	73	31	π(n	π(n	PROPN
ejpam-5137	73	32	)	)	PUNCT
ejpam-5137	74	1	=	=	SYM
ejpam-5137	74	2	1	1	NUM
ejpam-5137	74	3	,	,	PUNCT
ejpam-5137	74	4	(	(	PUNCT
ejpam-5137	74	5	16	16	NUM
ejpam-5137	74	6	)	)	PUNCT
ejpam-5137	74	7	and	and	CCONJ
ejpam-5137	74	8	the	the	DET
ejpam-5137	74	9	second	second	ADJ
ejpam-5137	74	10	constraint	constraint	NOUN
ejpam-5137	74	11	comes	come	VERB
ejpam-5137	74	12	from	from	ADP
ejpam-5137	74	13	the	the	DET
ejpam-5137	74	14	measurement	measurement	NOUN
ejpam-5137	74	15	of	of	ADP
ejpam-5137	74	16	the	the	DET
ejpam-5137	74	17	average	average	ADJ
ejpam-5137	74	18	value	value	NOUN
ejpam-5137	74	19	of	of	ADP
ejpam-5137	74	20	the	the	DET
ejpam-5137	74	21	perspecies	perspecie	NOUN
ejpam-5137	74	22	abundance	abundance	NOUN
ejpam-5137	74	23	which	which	PRON
ejpam-5137	74	24	is	be	AUX
ejpam-5137	74	25	given	give	VERB
ejpam-5137	74	26	by∑n	by∑n	PROPN
ejpam-5137	74	27	n=1	n=1	PROPN
ejpam-5137	74	28	nπ(n	nπ(n	NOUN
ejpam-5137	74	29	)	)	PUNCT
ejpam-5137	74	30	q∑n	q∑n	PROPN
ejpam-5137	74	31	n=1π(n	n=1π(n	PROPN
ejpam-5137	74	32	)	)	PUNCT
ejpam-5137	74	33	q	q	NOUN
ejpam-5137	75	1	=	=	PUNCT
ejpam-5137	75	2	µq	µq	PROPN
ejpam-5137	75	3	.	.	PUNCT
ejpam-5137	76	1	(	(	PUNCT
ejpam-5137	76	2	17	17	NUM
ejpam-5137	76	3	)	)	PUNCT
ejpam-5137	76	4	the	the	DET
ejpam-5137	76	5	function	function	NOUN
ejpam-5137	76	6	to	to	PART
ejpam-5137	76	7	be	be	AUX
ejpam-5137	76	8	maximized	maximize	VERB
ejpam-5137	76	9	is	be	AUX
ejpam-5137	76	10	f	f	X
ejpam-5137	76	11	=	=	PUNCT
ejpam-5137	76	12	sq	sq	PROPN
ejpam-5137	76	13	k	k	PROPN
ejpam-5137	77	1	+	+	CCONJ
ejpam-5137	77	2	α0	α0	ADJ
ejpam-5137	77	3	(	(	PUNCT
ejpam-5137	77	4	n∑	n∑	NOUN
ejpam-5137	77	5	n=0	n=0	PUNCT
ejpam-5137	77	6	π(n)−	π(n)−	PROPN
ejpam-5137	77	7	1	1	NUM
ejpam-5137	77	8	)	)	PUNCT
ejpam-5137	78	1	+	+	CCONJ
ejpam-5137	78	2	α1	α1	PROPN
ejpam-5137	78	3	(	(	PUNCT
ejpam-5137	78	4	n∑	n∑	NOUN
ejpam-5137	78	5	n=0	n=0	PUNCT
ejpam-5137	78	6	π(n)q(n−	π(n)q(n−	PROPN
ejpam-5137	78	7	µq	µq	PROPN
ejpam-5137	78	8	)	)	PUNCT
ejpam-5137	78	9	)	)	PUNCT
ejpam-5137	78	10	,	,	PUNCT
ejpam-5137	78	11	(	(	PUNCT
ejpam-5137	78	12	18	18	NUM
ejpam-5137	78	13	)	)	PUNCT
ejpam-5137	78	14	c.	c.	NOUN
ejpam-5137	78	15	corcino	corcino	PROPN
ejpam-5137	78	16	,	,	PUNCT
ejpam-5137	78	17	r.	r.	PROPN
ejpam-5137	78	18	corcino	corcino	PROPN
ejpam-5137	78	19	,	,	PUNCT
ejpam-5137	78	20	j.	j.	PROPN
ejpam-5137	78	21	picardal	picardal	PROPN
ejpam-5137	78	22	/	/	SYM
ejpam-5137	78	23	eur	eur	PROPN
ejpam-5137	78	24	.	.	PUNCT
ejpam-5137	79	1	j.	j.	PROPN
ejpam-5137	79	2	pure	pure	PROPN
ejpam-5137	79	3	appl	appl	PROPN
ejpam-5137	79	4	.	.	PROPN
ejpam-5137	79	5	math	math	PROPN
ejpam-5137	79	6	,	,	PUNCT
ejpam-5137	79	7	17	17	NUM
ejpam-5137	79	8	(	(	PUNCT
ejpam-5137	79	9	3	3	NUM
ejpam-5137	79	10	)	)	PUNCT
ejpam-5137	79	11	(	(	PUNCT
ejpam-5137	79	12	2024	2024	NUM
ejpam-5137	79	13	)	)	PUNCT
ejpam-5137	79	14	,	,	PUNCT
ejpam-5137	79	15	1674	1674	NUM
ejpam-5137	79	16	-	-	SYM
ejpam-5137	79	17	1684	1684	NUM
ejpam-5137	79	18	1678	1678	NUM
ejpam-5137	79	19	where	where	SCONJ
ejpam-5137	79	20	α0	α0	ADJ
ejpam-5137	79	21	and	and	CCONJ
ejpam-5137	79	22	α1	α1	PROPN
ejpam-5137	79	23	are	be	AUX
ejpam-5137	79	24	the	the	DET
ejpam-5137	79	25	lagrange	lagrange	NOUN
ejpam-5137	79	26	multipliers	multiplier	NOUN
ejpam-5137	79	27	.	.	PUNCT
ejpam-5137	80	1	taking	take	VERB
ejpam-5137	80	2	the	the	DET
ejpam-5137	80	3	derivative	derivative	NOUN
ejpam-5137	80	4	of	of	ADP
ejpam-5137	80	5	f	f	PROPN
ejpam-5137	80	6	with	with	ADP
ejpam-5137	80	7	respect	respect	NOUN
ejpam-5137	80	8	to	to	ADP
ejpam-5137	80	9	π(n	π(n	PROPN
ejpam-5137	80	10	)	)	PUNCT
ejpam-5137	80	11	and	and	CCONJ
ejpam-5137	80	12	setting	set	VERB
ejpam-5137	80	13	it	it	PRON
ejpam-5137	80	14	equal	equal	ADJ
ejpam-5137	80	15	to	to	ADP
ejpam-5137	80	16	0	0	NUM
ejpam-5137	80	17	,	,	PUNCT
ejpam-5137	80	18	0	0	NUM
ejpam-5137	81	1	=	=	SYM
ejpam-5137	81	2	−1−	−1−	PROPN
ejpam-5137	81	3	qπ(n)q−1	qπ(n)q−1	PROPN
ejpam-5137	81	4	lnq	lnq	X
ejpam-5137	81	5	π(n	π(n	PROPN
ejpam-5137	81	6	)	)	PUNCT
ejpam-5137	82	1	+	+	CCONJ
ejpam-5137	82	2	α0	α0	ADJ
ejpam-5137	82	3	+	+	NUM
ejpam-5137	82	4	α1(n−	α1(n−	NUM
ejpam-5137	82	5	µq)qπ(n	µq)qπ(n	PROPN
ejpam-5137	82	6	)	)	PUNCT
ejpam-5137	83	1	q−1	q−1	PROPN
ejpam-5137	83	2	0	0	NUM
ejpam-5137	84	1	=	=	PUNCT
ejpam-5137	84	2	−1−	−1−	X
ejpam-5137	84	3	q	q	NOUN
ejpam-5137	84	4	1−	1−	NUM
ejpam-5137	84	5	q	q	NOUN
ejpam-5137	85	1	+	+	CCONJ
ejpam-5137	85	2	α0	α0	ADJ
ejpam-5137	85	3	+	+	CCONJ
ejpam-5137	85	4	(	(	PUNCT
ejpam-5137	85	5	q	q	PROPN
ejpam-5137	85	6	1−	1−	NUM
ejpam-5137	85	7	q	q	NOUN
ejpam-5137	85	8	+	+	NUM
ejpam-5137	85	9	α1(n−	α1(n−	NUM
ejpam-5137	85	10	µq)q	µq)q	NOUN
ejpam-5137	85	11	)	)	PUNCT
ejpam-5137	86	1	π(n)q−1	π(n)q−1	NOUN
ejpam-5137	86	2	.	.	PUNCT
ejpam-5137	87	1	solving	solve	VERB
ejpam-5137	87	2	for	for	ADP
ejpam-5137	87	3	π(n	π(n	PROPN
ejpam-5137	87	4	)	)	PUNCT
ejpam-5137	87	5	,	,	PUNCT
ejpam-5137	87	6	π(n	π(n	PROPN
ejpam-5137	87	7	)	)	PUNCT
ejpam-5137	88	1	=	=	PRON
ejpam-5137	89	1	(	(	PUNCT
ejpam-5137	89	2	q	q	PROPN
ejpam-5137	89	3	1−	1−	NUM
ejpam-5137	89	4	(	(	PUNCT
ejpam-5137	89	5	1−	1−	NUM
ejpam-5137	89	6	q)α0	q)α0	NOUN
ejpam-5137	89	7	)	)	PUNCT
ejpam-5137	89	8	1	1	NUM
ejpam-5137	89	9	1−q	1−q	NUM
ejpam-5137	89	10	{	{	PUNCT
ejpam-5137	89	11	1	1	NUM
ejpam-5137	89	12	+	+	CCONJ
ejpam-5137	89	13	(	(	PUNCT
ejpam-5137	89	14	1−	1−	NUM
ejpam-5137	89	15	q)α1(n−	q)α1(n−	PROPN
ejpam-5137	89	16	µq	µq	PROPN
ejpam-5137	89	17	)	)	PUNCT
ejpam-5137	89	18	}	}	PUNCT
ejpam-5137	89	19	1	1	NUM
ejpam-5137	89	20	1−q	1−q	NUM
ejpam-5137	89	21	=	=	SYM
ejpam-5137	89	22	(	(	PUNCT
ejpam-5137	89	23	q	q	PROPN
ejpam-5137	89	24	1−	1−	NUM
ejpam-5137	89	25	(	(	PUNCT
ejpam-5137	89	26	1−	1−	NUM
ejpam-5137	89	27	q)α0	q)α0	NOUN
ejpam-5137	89	28	)	)	PUNCT
ejpam-5137	89	29	1	1	NUM
ejpam-5137	89	30	1−q	1−q	NUM
ejpam-5137	89	31	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	89	32	µq	µq	PROPN
ejpam-5137	89	33	)	)	PUNCT
ejpam-5137	89	34	)	)	PUNCT
ejpam-5137	89	35	.	.	PUNCT
ejpam-5137	90	1	(	(	PUNCT
ejpam-5137	90	2	19	19	NUM
ejpam-5137	90	3	)	)	PUNCT
ejpam-5137	90	4	applying	apply	VERB
ejpam-5137	90	5	the	the	DET
ejpam-5137	90	6	normalization	normalization	NOUN
ejpam-5137	90	7	constraint	constraint	NOUN
ejpam-5137	90	8	will	will	AUX
ejpam-5137	90	9	give	give	VERB
ejpam-5137	90	10	(	(	PUNCT
ejpam-5137	90	11	q	q	PROPN
ejpam-5137	90	12	1−	1−	NUM
ejpam-5137	90	13	(	(	PUNCT
ejpam-5137	90	14	1−	1−	NUM
ejpam-5137	90	15	q)α0	q)α0	NOUN
ejpam-5137	90	16	)	)	PUNCT
ejpam-5137	90	17	1	1	NUM
ejpam-5137	90	18	1−q	1−q	NUM
ejpam-5137	90	19	n0∑	n0∑	PROPN
ejpam-5137	90	20	n=1	n=1	PROPN
ejpam-5137	90	21	{	{	PUNCT
ejpam-5137	90	22	1	1	NUM
ejpam-5137	90	23	+	+	CCONJ
ejpam-5137	90	24	(	(	PUNCT
ejpam-5137	90	25	1−	1−	NUM
ejpam-5137	90	26	q)α1(n−	q)α1(n−	PROPN
ejpam-5137	90	27	µq	µq	PROPN
ejpam-5137	90	28	)	)	PUNCT
ejpam-5137	90	29	}	}	PUNCT
ejpam-5137	90	30	1	1	NUM
ejpam-5137	90	31	1−q	1−q	NUM
ejpam-5137	90	32	=	=	SYM
ejpam-5137	90	33	1	1	X
ejpam-5137	90	34	.	.	PUNCT
ejpam-5137	91	1	(	(	PUNCT
ejpam-5137	91	2	20	20	NUM
ejpam-5137	91	3	)	)	PUNCT
ejpam-5137	91	4	let	let	VERB
ejpam-5137	91	5	zq	zq	PROPN
ejpam-5137	91	6	=	=	PROPN
ejpam-5137	91	7	n0∑	n0∑	PROPN
ejpam-5137	91	8	n=1	n=1	PROPN
ejpam-5137	91	9	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	91	10	µq	µq	PROPN
ejpam-5137	91	11	)	)	PUNCT
ejpam-5137	91	12	)	)	PUNCT
ejpam-5137	91	13	.	.	PUNCT
ejpam-5137	92	1	(	(	PUNCT
ejpam-5137	92	2	21	21	NUM
ejpam-5137	92	3	)	)	PUNCT
ejpam-5137	92	4	now	now	ADV
ejpam-5137	92	5	,	,	PUNCT
ejpam-5137	92	6	with	with	ADP
ejpam-5137	92	7	π(n	π(n	PROPN
ejpam-5137	92	8	)	)	PUNCT
ejpam-5137	92	9	being	be	AUX
ejpam-5137	92	10	a	a	DET
ejpam-5137	92	11	function	function	NOUN
ejpam-5137	92	12	of	of	ADP
ejpam-5137	92	13	q	q	NOUN
ejpam-5137	92	14	,	,	PUNCT
ejpam-5137	92	15	we	we	PRON
ejpam-5137	92	16	can	can	AUX
ejpam-5137	92	17	write	write	VERB
ejpam-5137	92	18	π(n	π(n	PROPN
ejpam-5137	92	19	)	)	PUNCT
ejpam-5137	93	1	=	=	SYM
ejpam-5137	93	2	π(n	π(n	PROPN
ejpam-5137	93	3	,	,	PUNCT
ejpam-5137	93	4	q	q	NOUN
ejpam-5137	93	5	)	)	PUNCT
ejpam-5137	93	6	.	.	PUNCT
ejpam-5137	94	1	hence	hence	ADV
ejpam-5137	94	2	,	,	PUNCT
ejpam-5137	94	3	π(n	π(n	PROPN
ejpam-5137	94	4	,	,	PUNCT
ejpam-5137	94	5	q	q	X
ejpam-5137	94	6	)	)	PUNCT
ejpam-5137	94	7	=	=	VERB
ejpam-5137	94	8	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	94	9	µq	µq	PROPN
ejpam-5137	94	10	)	)	PUNCT
ejpam-5137	94	11	)	)	PUNCT
ejpam-5137	95	1	zq	zq	PROPN
ejpam-5137	95	2	.	.	PUNCT
ejpam-5137	96	1	3	3	X
ejpam-5137	96	2	.	.	X
ejpam-5137	96	3	generalization	generalization	NOUN
ejpam-5137	96	4	of	of	ADP
ejpam-5137	96	5	ecosystem	ecosystem	NOUN
ejpam-5137	96	6	structure	structure	NOUN
ejpam-5137	96	7	function	function	NOUN
ejpam-5137	96	8	ecosystem	ecosystem	NOUN
ejpam-5137	96	9	structure	structure	NOUN
ejpam-5137	96	10	function	function	NOUN
ejpam-5137	96	11	(	(	PUNCT
ejpam-5137	96	12	esf	esf	PROPN
ejpam-5137	96	13	)	)	PUNCT
ejpam-5137	96	14	denoted	denote	VERB
ejpam-5137	96	15	by	by	ADP
ejpam-5137	96	16	r(n	r(n	PROPN
ejpam-5137	96	17	,	,	PUNCT
ejpam-5137	96	18	ϵ	ϵ	X
ejpam-5137	96	19	)	)	PUNCT
ejpam-5137	96	20	is	be	AUX
ejpam-5137	96	21	a	a	DET
ejpam-5137	96	22	joint	joint	ADJ
ejpam-5137	96	23	probability	probability	NOUN
ejpam-5137	96	24	distribution	distribution	NOUN
ejpam-5137	96	25	,	,	PUNCT
ejpam-5137	96	26	with	with	ADP
ejpam-5137	96	27	r(n	r(n	PROPN
ejpam-5137	96	28	,	,	PUNCT
ejpam-5137	96	29	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	96	30	by	by	ADP
ejpam-5137	96	31	definition	definition	NOUN
ejpam-5137	96	32	being	be	AUX
ejpam-5137	96	33	the	the	DET
ejpam-5137	96	34	probability	probability	NOUN
ejpam-5137	96	35	that	that	SCONJ
ejpam-5137	96	36	a	a	DET
ejpam-5137	96	37	randomly	randomly	ADV
ejpam-5137	96	38	selected	select	VERB
ejpam-5137	96	39	species	specie	NOUN
ejpam-5137	96	40	has	have	AUX
ejpam-5137	96	41	abundance	abundance	NOUN
ejpam-5137	96	42	n	n	CCONJ
ejpam-5137	96	43	,	,	PUNCT
ejpam-5137	96	44	and	and	CCONJ
ejpam-5137	96	45	that	that	SCONJ
ejpam-5137	96	46	a	a	DET
ejpam-5137	96	47	randomly	randomly	ADV
ejpam-5137	96	48	selected	select	VERB
ejpam-5137	96	49	individual	individual	NOUN
ejpam-5137	96	50	from	from	ADP
ejpam-5137	96	51	any	any	DET
ejpam-5137	96	52	species	specie	NOUN
ejpam-5137	96	53	with	with	ADP
ejpam-5137	96	54	abundance	abundance	NOUN
ejpam-5137	96	55	n	n	NUM
ejpam-5137	96	56	has	have	VERB
ejpam-5137	96	57	metabolic	metabolic	ADJ
ejpam-5137	96	58	requirement	requirement	NOUN
ejpam-5137	96	59	in	in	ADP
ejpam-5137	96	60	the	the	DET
ejpam-5137	96	61	interval	interval	NOUN
ejpam-5137	96	62	ϵ	ϵ	NOUN
ejpam-5137	96	63	,	,	PUNCT
ejpam-5137	96	64	ϵ+	ϵ+	PUNCT
ejpam-5137	96	65	dϵ.	dϵ.	VERB
ejpam-5137	96	66	the	the	DET
ejpam-5137	96	67	normalization	normalization	NOUN
ejpam-5137	96	68	constraint	constraint	NOUN
ejpam-5137	96	69	is	be	AUX
ejpam-5137	96	70	given	give	VERB
ejpam-5137	96	71	by	by	ADP
ejpam-5137	96	72	n∑	n∑	PROPN
ejpam-5137	96	73	n=1	n=1	PROPN
ejpam-5137	96	74	∫	∫	PROPN
ejpam-5137	96	75	e	e	X
ejpam-5137	96	76	ϵ=1	ϵ=1	PROPN
ejpam-5137	97	1	r(n	r(n	PROPN
ejpam-5137	97	2	,	,	PUNCT
ejpam-5137	97	3	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	97	4	=	=	SYM
ejpam-5137	97	5	1	1	X
ejpam-5137	97	6	.	.	PUNCT
ejpam-5137	98	1	(	(	PUNCT
ejpam-5137	98	2	22	22	NUM
ejpam-5137	98	3	)	)	PUNCT
ejpam-5137	98	4	the	the	DET
ejpam-5137	98	5	additional	additional	ADJ
ejpam-5137	98	6	constraints	constraint	NOUN
ejpam-5137	98	7	are	be	AUX
ejpam-5137	98	8	aggregated	aggregate	VERB
ejpam-5137	98	9	measures	measure	NOUN
ejpam-5137	98	10	of	of	ADP
ejpam-5137	98	11	variables	variable	NOUN
ejpam-5137	98	12	n	n	CCONJ
ejpam-5137	98	13	and	and	CCONJ
ejpam-5137	98	14	nϵ.	nϵ.	VERB
ejpam-5137	98	15	with	with	ADP
ejpam-5137	98	16	f1(n	f1(n	NOUN
ejpam-5137	98	17	)	)	PUNCT
ejpam-5137	98	18	=	=	SYM
ejpam-5137	98	19	n	n	CCONJ
ejpam-5137	98	20	,	,	PUNCT
ejpam-5137	98	21	and	and	CCONJ
ejpam-5137	98	22	f2(n)ϵ	f2(n)ϵ	NOUN
ejpam-5137	98	23	=	=	SYM
ejpam-5137	98	24	nϵ	nϵ	NOUN
ejpam-5137	98	25	,	,	PUNCT
ejpam-5137	98	26	the	the	DET
ejpam-5137	98	27	corresponding	corresponding	ADJ
ejpam-5137	98	28	means	mean	NOUN
ejpam-5137	98	29	of	of	ADP
ejpam-5137	98	30	the	the	DET
ejpam-5137	98	31	data	data	NOUN
ejpam-5137	98	32	sets	set	NOUN
ejpam-5137	98	33	are	be	AUX
ejpam-5137	98	34	respectively	respectively	ADV
ejpam-5137	98	35	,	,	PUNCT
ejpam-5137	98	36	〈	〈	PROPN
ejpam-5137	98	37	f1(n	f1(n	NOUN
ejpam-5137	98	38	)	)	PUNCT
ejpam-5137	98	39	〉	〉	NOUN
ejpam-5137	98	40	=	=	SYM
ejpam-5137	98	41	n	n	CCONJ
ejpam-5137	98	42	/	/	SYM
ejpam-5137	98	43	h	h	NOUN
ejpam-5137	98	44	,	,	PUNCT
ejpam-5137	98	45	〈	〈	PROPN
ejpam-5137	98	46	f2(nϵ	f2(nϵ	PROPN
ejpam-5137	98	47	)	)	PUNCT
ejpam-5137	98	48	〉	〉	NOUN
ejpam-5137	99	1	=	=	SYM
ejpam-5137	99	2	e	e	X
ejpam-5137	99	3	/	/	SYM
ejpam-5137	99	4	h.	h.	PROPN
ejpam-5137	99	5	(	(	PUNCT
ejpam-5137	99	6	23	23	NUM
ejpam-5137	99	7	)	)	PUNCT
ejpam-5137	99	8	c.	c.	NOUN
ejpam-5137	99	9	corcino	corcino	PROPN
ejpam-5137	99	10	,	,	PUNCT
ejpam-5137	99	11	r.	r.	PROPN
ejpam-5137	99	12	corcino	corcino	PROPN
ejpam-5137	99	13	,	,	PUNCT
ejpam-5137	99	14	j.	j.	PROPN
ejpam-5137	99	15	picardal	picardal	PROPN
ejpam-5137	99	16	/	/	SYM
ejpam-5137	99	17	eur	eur	PROPN
ejpam-5137	99	18	.	.	PUNCT
ejpam-5137	100	1	j.	j.	PROPN
ejpam-5137	100	2	pure	pure	PROPN
ejpam-5137	100	3	appl	appl	PROPN
ejpam-5137	100	4	.	.	PROPN
ejpam-5137	100	5	math	math	PROPN
ejpam-5137	100	6	,	,	PUNCT
ejpam-5137	100	7	17	17	NUM
ejpam-5137	100	8	(	(	PUNCT
ejpam-5137	100	9	3	3	NUM
ejpam-5137	100	10	)	)	PUNCT
ejpam-5137	100	11	(	(	PUNCT
ejpam-5137	100	12	2024	2024	NUM
ejpam-5137	100	13	)	)	PUNCT
ejpam-5137	100	14	,	,	PUNCT
ejpam-5137	100	15	1674	1674	NUM
ejpam-5137	100	16	-	-	SYM
ejpam-5137	100	17	1684	1684	NUM
ejpam-5137	100	18	1679	1679	NUM
ejpam-5137	100	19	these	these	PRON
ejpam-5137	100	20	give	give	VERB
ejpam-5137	100	21	the	the	DET
ejpam-5137	100	22	pair	pair	NOUN
ejpam-5137	100	23	of	of	ADP
ejpam-5137	100	24	constraints	constraint	NOUN
ejpam-5137	100	25	,	,	PUNCT
ejpam-5137	100	26	n∑	n∑	PROPN
ejpam-5137	100	27	n=1	n=1	PROPN
ejpam-5137	100	28	∫	∫	PROPN
ejpam-5137	100	29	e	e	PROPN
ejpam-5137	100	30	ϵ=1	ϵ=1	PROPN
ejpam-5137	100	31	nr(n	nr(n	NOUN
ejpam-5137	100	32	,	,	PUNCT
ejpam-5137	100	33	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	100	34	=	=	SYM
ejpam-5137	100	35	n	n	NUM
ejpam-5137	100	36	h	h	NOUN
ejpam-5137	100	37	,	,	PUNCT
ejpam-5137	100	38	(	(	PUNCT
ejpam-5137	100	39	24	24	NUM
ejpam-5137	100	40	)	)	PUNCT
ejpam-5137	100	41	n∑	n∑	NOUN
ejpam-5137	100	42	n=1	n=1	PROPN
ejpam-5137	100	43	∫	∫	PROPN
ejpam-5137	100	44	e	e	PROPN
ejpam-5137	100	45	ϵ=1	ϵ=1	PROPN
ejpam-5137	100	46	nϵr(n	nϵr(n	PROPN
ejpam-5137	100	47	,	,	PUNCT
ejpam-5137	100	48	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	100	49	=	=	SYM
ejpam-5137	100	50	e	e	PROPN
ejpam-5137	100	51	h	h	NOUN
ejpam-5137	100	52	.	.	PUNCT
ejpam-5137	101	1	(	(	PUNCT
ejpam-5137	101	2	25	25	NUM
ejpam-5137	101	3	)	)	PUNCT
ejpam-5137	101	4	theorem	theorem	VERB
ejpam-5137	101	5	3.1	3.1	NUM
ejpam-5137	101	6	.	.	PUNCT
ejpam-5137	102	1	the	the	DET
ejpam-5137	102	2	generalized	generalized	ADJ
ejpam-5137	102	3	ecosystem	ecosystem	NOUN
ejpam-5137	102	4	structure	structure	NOUN
ejpam-5137	102	5	function	function	NOUN
ejpam-5137	102	6	(	(	PUNCT
ejpam-5137	102	7	esf	esf	NOUN
ejpam-5137	102	8	)	)	PUNCT
ejpam-5137	102	9	r(n	r(n	PROPN
ejpam-5137	102	10	,	,	PUNCT
ejpam-5137	102	11	ϵ	ϵ	X
ejpam-5137	102	12	,	,	PUNCT
ejpam-5137	102	13	q	q	NOUN
ejpam-5137	102	14	)	)	PUNCT
ejpam-5137	102	15	is	be	AUX
ejpam-5137	102	16	given	give	VERB
ejpam-5137	102	17	by	by	ADP
ejpam-5137	102	18	r(n	r(n	PROPN
ejpam-5137	102	19	,	,	PUNCT
ejpam-5137	102	20	ϵ	ϵ	X
ejpam-5137	102	21	,	,	PUNCT
ejpam-5137	102	22	q	q	NOUN
ejpam-5137	102	23	)	)	PUNCT
ejpam-5137	102	24	=	=	PUNCT
ejpam-5137	102	25	α2(2−	α2(2−	NOUN
ejpam-5137	102	26	q	q	X
ejpam-5137	102	27	)	)	PUNCT
ejpam-5137	102	28	expq	expq	ADJ
ejpam-5137	102	29	(	(	PUNCT
ejpam-5137	102	30	α1(n−	α1(n−	NUM
ejpam-5137	102	31	µq,1	µq,1	ADJ
ejpam-5137	102	32	)	)	PUNCT
ejpam-5137	102	33	+	+	NUM
ejpam-5137	102	34	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	102	35	µq,2))∑n	µq,2))∑n	NOUN
ejpam-5137	102	36	n=1	n=1	ADP
ejpam-5137	102	37	1	1	NUM
ejpam-5137	102	38	n	n	NOUN
ejpam-5137	102	39	[	[	PUNCT
ejpam-5137	102	40	(	(	PUNCT
ejpam-5137	102	41	expq	expq	ADJ
ejpam-5137	102	42	ue	ue	PROPN
ejpam-5137	102	43	)	)	PUNCT
ejpam-5137	102	44	2−q	2−q	NUM
ejpam-5137	102	45	−	−	PROPN
ejpam-5137	102	46	(	(	PUNCT
ejpam-5137	102	47	expq	expq	ADJ
ejpam-5137	102	48	u1	u1	NOUN
ejpam-5137	102	49	)	)	PUNCT
ejpam-5137	102	50	2−q	2−q	NUM
ejpam-5137	102	51	]	]	PUNCT
ejpam-5137	102	52	,	,	PUNCT
ejpam-5137	102	53	(	(	PUNCT
ejpam-5137	102	54	26	26	NUM
ejpam-5137	102	55	)	)	PUNCT
ejpam-5137	102	56	where	where	SCONJ
ejpam-5137	102	57	u	u	NOUN
ejpam-5137	102	58	=	=	SYM
ejpam-5137	102	59	α1(n−	α1(n−	X
ejpam-5137	102	60	µq,1	µq,1	NOUN
ejpam-5137	102	61	)	)	PUNCT
ejpam-5137	102	62	+	+	CCONJ
ejpam-5137	102	63	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	102	64	µq,2	µq,2	NOUN
ejpam-5137	102	65	)	)	PUNCT
ejpam-5137	102	66	,	,	PUNCT
ejpam-5137	102	67	ue	ue	PROPN
ejpam-5137	102	68	=	=	SYM
ejpam-5137	102	69	u(ϵ	u(ϵ	PROPN
ejpam-5137	102	70	=	=	SYM
ejpam-5137	102	71	e	e	NOUN
ejpam-5137	102	72	)	)	PUNCT
ejpam-5137	102	73	,	,	PUNCT
ejpam-5137	102	74	u1	u1	NOUN
ejpam-5137	102	75	=	=	SYM
ejpam-5137	102	76	u(ϵ	u(ϵ	PROPN
ejpam-5137	102	77	=	=	NOUN
ejpam-5137	102	78	1	1	NUM
ejpam-5137	102	79	)	)	PUNCT
ejpam-5137	102	80	.	.	PUNCT
ejpam-5137	103	1	proof	proof	NOUN
ejpam-5137	103	2	.	.	PUNCT
ejpam-5137	104	1	the	the	DET
ejpam-5137	104	2	generalization	generalization	NOUN
ejpam-5137	104	3	for	for	ADP
ejpam-5137	104	4	the	the	DET
ejpam-5137	104	5	ecosystem	ecosystem	NOUN
ejpam-5137	104	6	structure	structure	NOUN
ejpam-5137	104	7	function	function	NOUN
ejpam-5137	104	8	is	be	AUX
ejpam-5137	104	9	obtained	obtain	VERB
ejpam-5137	104	10	using	use	VERB
ejpam-5137	104	11	(	(	PUNCT
ejpam-5137	104	12	11	11	NUM
ejpam-5137	104	13	)	)	PUNCT
ejpam-5137	104	14	.	.	PUNCT
ejpam-5137	105	1	following	follow	VERB
ejpam-5137	105	2	[	[	X
ejpam-5137	105	3	9	9	NUM
ejpam-5137	105	4	]	]	PUNCT
ejpam-5137	105	5	,	,	PUNCT
ejpam-5137	105	6	the	the	DET
ejpam-5137	105	7	normalization	normalization	NOUN
ejpam-5137	105	8	constraint	constraint	NOUN
ejpam-5137	105	9	(	(	PUNCT
ejpam-5137	105	10	22	22	NUM
ejpam-5137	105	11	)	)	PUNCT
ejpam-5137	105	12	will	will	AUX
ejpam-5137	105	13	be	be	AUX
ejpam-5137	105	14	kept	keep	VERB
ejpam-5137	105	15	while	while	SCONJ
ejpam-5137	105	16	the	the	DET
ejpam-5137	105	17	constraints	constraint	NOUN
ejpam-5137	105	18	(	(	PUNCT
ejpam-5137	105	19	24	24	NUM
ejpam-5137	105	20	)	)	PUNCT
ejpam-5137	105	21	and	and	CCONJ
ejpam-5137	105	22	(	(	PUNCT
ejpam-5137	105	23	25	25	NUM
ejpam-5137	105	24	)	)	PUNCT
ejpam-5137	105	25	will	will	AUX
ejpam-5137	105	26	be	be	AUX
ejpam-5137	105	27	replaced	replace	VERB
ejpam-5137	105	28	respectively	respectively	ADV
ejpam-5137	105	29	,	,	PUNCT
ejpam-5137	105	30	by∑n	by∑n	PROPN
ejpam-5137	105	31	n=1	n=1	PROPN
ejpam-5137	105	32	∫	∫	PROPN
ejpam-5137	105	33	e	e	X
ejpam-5137	105	34	ϵ=1	ϵ=1	PROPN
ejpam-5137	105	35	nr	nr	PROPN
ejpam-5137	105	36	q(n	q(n	PROPN
ejpam-5137	105	37	,	,	PUNCT
ejpam-5137	105	38	ϵ)dϵ∑n	ϵ)dϵ∑n	ADJ
ejpam-5137	105	39	n=1r	n=1r	NOUN
ejpam-5137	105	40	q(n	q(n	PROPN
ejpam-5137	105	41	,	,	PUNCT
ejpam-5137	105	42	ϵ	ϵ	X
ejpam-5137	105	43	)	)	PUNCT
ejpam-5137	106	1	=	=	SYM
ejpam-5137	106	2	µq,1	µq,1	PROPN
ejpam-5137	106	3	,	,	PUNCT
ejpam-5137	106	4	(	(	PUNCT
ejpam-5137	106	5	27	27	NUM
ejpam-5137	106	6	)	)	PUNCT
ejpam-5137	106	7	∑n	∑n	PROPN
ejpam-5137	106	8	n=1	n=1	PROPN
ejpam-5137	106	9	∫	∫	PROPN
ejpam-5137	106	10	e	e	PROPN
ejpam-5137	106	11	ϵ=1	ϵ=1	PUNCT
ejpam-5137	106	12	nϵr	nϵr	VERB
ejpam-5137	106	13	q(n	q(n	PROPN
ejpam-5137	106	14	,	,	PUNCT
ejpam-5137	106	15	ϵ)dϵ∑n	ϵ)dϵ∑n	NOUN
ejpam-5137	106	16	n=1r	n=1r	NOUN
ejpam-5137	106	17	q(n	q(n	PROPN
ejpam-5137	106	18	,	,	PUNCT
ejpam-5137	106	19	ϵ	ϵ	X
ejpam-5137	106	20	)	)	PUNCT
ejpam-5137	106	21	=	=	PUNCT
ejpam-5137	107	1	µq,2	µq,2	NOUN
ejpam-5137	107	2	,	,	PUNCT
ejpam-5137	107	3	(	(	PUNCT
ejpam-5137	107	4	28	28	NUM
ejpam-5137	107	5	)	)	PUNCT
ejpam-5137	107	6	where	where	SCONJ
ejpam-5137	107	7	rq(n	rq(n	NOUN
ejpam-5137	107	8	,	,	PUNCT
ejpam-5137	107	9	ϵ	ϵ	NOUN
ejpam-5137	107	10	)	)	PUNCT
ejpam-5137	107	11	=	=	NOUN
ejpam-5137	108	1	[	[	X
ejpam-5137	108	2	r(n	r(n	PROPN
ejpam-5137	108	3	,	,	PUNCT
ejpam-5137	108	4	ϵ)]q	ϵ)]q	PROPN
ejpam-5137	108	5	.	.	PUNCT
ejpam-5137	109	1	the	the	DET
ejpam-5137	109	2	function	function	NOUN
ejpam-5137	109	3	to	to	PART
ejpam-5137	109	4	be	be	AUX
ejpam-5137	109	5	maximized	maximize	VERB
ejpam-5137	109	6	is	be	AUX
ejpam-5137	109	7	f	f	X
ejpam-5137	109	8	=	=	PUNCT
ejpam-5137	109	9	sq	sq	PROPN
ejpam-5137	109	10	k	k	PROPN
ejpam-5137	110	1	+	+	CCONJ
ejpam-5137	110	2	α0	α0	PROPN
ejpam-5137	110	3	[	[	PUNCT
ejpam-5137	110	4	n∑	n∑	NOUN
ejpam-5137	110	5	n=1	n=1	PROPN
ejpam-5137	110	6	∫	∫	PROPN
ejpam-5137	110	7	e	e	X
ejpam-5137	110	8	ϵ=1	ϵ=1	PROPN
ejpam-5137	111	1	r(n	r(n	PROPN
ejpam-5137	111	2	,	,	PUNCT
ejpam-5137	111	3	ϵ)dϵ−	ϵ)dϵ−	NOUN
ejpam-5137	111	4	1	1	NUM
ejpam-5137	111	5	]	]	PUNCT
ejpam-5137	111	6	+	+	NUM
ejpam-5137	111	7	α1	α1	PROPN
ejpam-5137	111	8	[	[	PUNCT
ejpam-5137	111	9	n∑	n∑	NOUN
ejpam-5137	111	10	n=1	n=1	PROPN
ejpam-5137	111	11	∫	∫	PROPN
ejpam-5137	111	12	e	e	PROPN
ejpam-5137	111	13	ϵ=1	ϵ=1	PROPN
ejpam-5137	111	14	rq(n	rq(n	NOUN
ejpam-5137	111	15	,	,	PUNCT
ejpam-5137	111	16	ϵ)dϵ(n−	ϵ)dϵ(n−	X
ejpam-5137	111	17	µq,1	µq,1	NOUN
ejpam-5137	111	18	)	)	PUNCT
ejpam-5137	111	19	]	]	PUNCT
ejpam-5137	112	1	+	+	CCONJ
ejpam-5137	112	2	α2	α2	ADJ
ejpam-5137	112	3	[	[	PUNCT
ejpam-5137	112	4	n∑	n∑	NOUN
ejpam-5137	112	5	n=1	n=1	PROPN
ejpam-5137	112	6	∫	∫	PROPN
ejpam-5137	112	7	e	e	PROPN
ejpam-5137	112	8	ϵ=1	ϵ=1	PROPN
ejpam-5137	112	9	rq(n	rq(n	NOUN
ejpam-5137	112	10	,	,	PUNCT
ejpam-5137	112	11	ϵ)dϵ(nϵ−	ϵ)dϵ(nϵ−	PRON
ejpam-5137	112	12	µq,2	µq,2	NOUN
ejpam-5137	112	13	)	)	PUNCT
ejpam-5137	112	14	]	]	PUNCT
ejpam-5137	112	15	.	.	PUNCT
ejpam-5137	113	1	(	(	PUNCT
ejpam-5137	113	2	29	29	NUM
ejpam-5137	113	3	)	)	PUNCT
ejpam-5137	113	4	taking	take	VERB
ejpam-5137	113	5	the	the	DET
ejpam-5137	113	6	derivative	derivative	NOUN
ejpam-5137	113	7	of	of	ADP
ejpam-5137	113	8	f	f	PROPN
ejpam-5137	113	9	with	with	ADP
ejpam-5137	113	10	respect	respect	NOUN
ejpam-5137	113	11	to	to	ADP
ejpam-5137	113	12	r	r	NOUN
ejpam-5137	113	13	:	:	PUNCT
ejpam-5137	113	14	=	=	PUNCT
ejpam-5137	113	15	r(n	r(n	PROPN
ejpam-5137	113	16	,	,	PUNCT
ejpam-5137	113	17	ϵ	ϵ	NOUN
ejpam-5137	113	18	)	)	PUNCT
ejpam-5137	113	19	,	,	PUNCT
ejpam-5137	113	20	δf	δf	X
ejpam-5137	113	21	δr	δr	ADP
ejpam-5137	113	22	=	=	SYM
ejpam-5137	113	23	−	−	PROPN
ejpam-5137	113	24	n∑	n∑	NOUN
ejpam-5137	113	25	n=1	n=1	PROPN
ejpam-5137	113	26	∫	∫	PROPN
ejpam-5137	113	27	e	e	PROPN
ejpam-5137	113	28	ϵ=1	ϵ=1	PROPN
ejpam-5137	113	29	(	(	PUNCT
ejpam-5137	113	30	1	1	NUM
ejpam-5137	113	31	+	+	CCONJ
ejpam-5137	113	32	qrq−1r	qrq−1r	PROPN
ejpam-5137	113	33	1−q	1−q	NUM
ejpam-5137	113	34	−	−	NOUN
ejpam-5137	113	35	1	1	NUM
ejpam-5137	113	36	1−	1−	NUM
ejpam-5137	113	37	q	q	NOUN
ejpam-5137	113	38	)	)	PUNCT
ejpam-5137	113	39	dϵ+	dϵ+	ADP
ejpam-5137	113	40	α0	α0	PROPN
ejpam-5137	113	41	n∑	n∑	NOUN
ejpam-5137	113	42	n=1	n=1	PROPN
ejpam-5137	113	43	∫	∫	PROPN
ejpam-5137	113	44	e	e	X
ejpam-5137	113	45	ϵ=1	ϵ=1	ADP
ejpam-5137	113	46	dϵ	dϵ	PROPN
ejpam-5137	113	47	+	+	CCONJ
ejpam-5137	113	48	α1	α1	PROPN
ejpam-5137	113	49	[	[	PUNCT
ejpam-5137	113	50	n∑	n∑	NOUN
ejpam-5137	113	51	n=1	n=1	PROPN
ejpam-5137	113	52	∫	∫	PROPN
ejpam-5137	113	53	e	e	X
ejpam-5137	113	54	ϵ=1	ϵ=1	X
ejpam-5137	113	55	q(n−	q(n−	PROPN
ejpam-5137	113	56	µq,1)r	µq,1)r	VERB
ejpam-5137	113	57	q−1(n	q−1(n	PROPN
ejpam-5137	113	58	,	,	PUNCT
ejpam-5137	113	59	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	113	60	]	]	PUNCT
ejpam-5137	114	1	+	+	CCONJ
ejpam-5137	114	2	α2	α2	ADJ
ejpam-5137	114	3	[	[	PUNCT
ejpam-5137	114	4	n∑	n∑	NOUN
ejpam-5137	114	5	n=1	n=1	PROPN
ejpam-5137	114	6	∫	∫	PROPN
ejpam-5137	114	7	e	e	PROPN
ejpam-5137	114	8	ϵ=1	ϵ=1	PRON
ejpam-5137	114	9	q(nϵ−	q(nϵ−	PUNCT
ejpam-5137	114	10	µq,2)r	µq,2)r	PROPN
ejpam-5137	114	11	q−1(n	q−1(n	PROPN
ejpam-5137	114	12	,	,	PUNCT
ejpam-5137	114	13	ϵ)dϵ	ϵ)dϵ	PROPN
ejpam-5137	114	14	]	]	PUNCT
ejpam-5137	114	15	.	.	PUNCT
ejpam-5137	115	1	(	(	PUNCT
ejpam-5137	115	2	30	30	X
ejpam-5137	115	3	)	)	PUNCT
ejpam-5137	115	4	setting	setting	NOUN
ejpam-5137	115	5	(	(	PUNCT
ejpam-5137	115	6	30	30	NUM
ejpam-5137	115	7	)	)	PUNCT
ejpam-5137	115	8	equal	equal	ADJ
ejpam-5137	115	9	to	to	ADP
ejpam-5137	115	10	zero	zero	NUM
ejpam-5137	115	11	and	and	CCONJ
ejpam-5137	115	12	solve	solve	VERB
ejpam-5137	115	13	for	for	ADP
ejpam-5137	115	14	r(n	r(n	PROPN
ejpam-5137	115	15	,	,	PUNCT
ejpam-5137	115	16	ϵ	ϵ	NOUN
ejpam-5137	115	17	)	)	PUNCT
ejpam-5137	115	18	,	,	PUNCT
ejpam-5137	115	19	0	0	X
ejpam-5137	116	1	=	=	SYM
ejpam-5137	116	2	−	−	PROPN
ejpam-5137	116	3	(	(	PUNCT
ejpam-5137	116	4	1	1	NUM
ejpam-5137	116	5	+	+	CCONJ
ejpam-5137	116	6	q	q	PROPN
ejpam-5137	116	7	1−	1−	NUM
ejpam-5137	116	8	q	q	NOUN
ejpam-5137	116	9	−	−	PROPN
ejpam-5137	116	10	q	q	NOUN
ejpam-5137	116	11	1−	1−	NUM
ejpam-5137	116	12	q	q	X
ejpam-5137	116	13	rq−1	rq−1	PROPN
ejpam-5137	116	14	)	)	PUNCT
ejpam-5137	117	1	+	+	CCONJ
ejpam-5137	118	1	α0	α0	ADJ
ejpam-5137	118	2	+	+	CCONJ
ejpam-5137	118	3	α1q(n−	α1q(n−	NUM
ejpam-5137	118	4	µq,1)r	µq,1)r	VERB
ejpam-5137	118	5	q−1	q−1	PROPN
ejpam-5137	118	6	+	+	CCONJ
ejpam-5137	118	7	α2q(nϵ−	α2q(nϵ−	DET
ejpam-5137	118	8	µq,2)r	µq,2)r	PROPN
ejpam-5137	118	9	q−1	q−1	PROPN
ejpam-5137	118	10	c.	c.	PROPN
ejpam-5137	118	11	corcino	corcino	PROPN
ejpam-5137	118	12	,	,	PUNCT
ejpam-5137	118	13	r.	r.	PROPN
ejpam-5137	118	14	corcino	corcino	PROPN
ejpam-5137	118	15	,	,	PUNCT
ejpam-5137	118	16	j.	j.	PROPN
ejpam-5137	118	17	picardal	picardal	PROPN
ejpam-5137	118	18	/	/	SYM
ejpam-5137	118	19	eur	eur	PROPN
ejpam-5137	118	20	.	.	PUNCT
ejpam-5137	119	1	j.	j.	PROPN
ejpam-5137	119	2	pure	pure	PROPN
ejpam-5137	119	3	appl	appl	PROPN
ejpam-5137	119	4	.	.	PROPN
ejpam-5137	119	5	math	math	PROPN
ejpam-5137	119	6	,	,	PUNCT
ejpam-5137	119	7	17	17	NUM
ejpam-5137	119	8	(	(	PUNCT
ejpam-5137	119	9	3	3	NUM
ejpam-5137	119	10	)	)	PUNCT
ejpam-5137	119	11	(	(	PUNCT
ejpam-5137	119	12	2024	2024	NUM
ejpam-5137	119	13	)	)	PUNCT
ejpam-5137	119	14	,	,	PUNCT
ejpam-5137	119	15	1674	1674	NUM
ejpam-5137	119	16	-	-	SYM
ejpam-5137	119	17	1684	1684	NUM
ejpam-5137	119	18	1680	1680	NUM
ejpam-5137	119	19	1	1	NUM
ejpam-5137	120	1	+	+	CCONJ
ejpam-5137	120	2	q	q	PROPN
ejpam-5137	120	3	1−	1−	NUM
ejpam-5137	120	4	q	q	NOUN
ejpam-5137	120	5	−	−	PROPN
ejpam-5137	120	6	α0	α0	PROPN
ejpam-5137	120	7	=	=	SYM
ejpam-5137	120	8	(	(	PUNCT
ejpam-5137	120	9	q	q	PROPN
ejpam-5137	120	10	1−	1−	NUM
ejpam-5137	120	11	q	q	NOUN
ejpam-5137	121	1	+	+	NUM
ejpam-5137	121	2	α1q(n−	α1q(n−	NUM
ejpam-5137	121	3	µq,1	µq,1	ADJ
ejpam-5137	121	4	)	)	PUNCT
ejpam-5137	122	1	+	+	CCONJ
ejpam-5137	122	2	α2q(nϵ−	α2q(nϵ−	DET
ejpam-5137	122	3	µq,2	µq,2	NOUN
ejpam-5137	122	4	)	)	PUNCT
ejpam-5137	122	5	)	)	PUNCT
ejpam-5137	123	1	rq−1	rq−1	PROPN
ejpam-5137	123	2	1−	1−	NUM
ejpam-5137	123	3	α)(1−	α)(1−	PROPN
ejpam-5137	123	4	q	q	PROPN
ejpam-5137	123	5	)	)	PUNCT
ejpam-5137	123	6	q	q	NOUN
ejpam-5137	123	7	r1−q	r1−q	PROPN
ejpam-5137	123	8	=	=	NOUN
ejpam-5137	123	9	1	1	NUM
ejpam-5137	123	10	+	+	CCONJ
ejpam-5137	123	11	(	(	PUNCT
ejpam-5137	123	12	1−	1−	NUM
ejpam-5137	123	13	q	q	NOUN
ejpam-5137	123	14	)	)	PUNCT
ejpam-5137	123	15	{	{	PUNCT
ejpam-5137	123	16	α1(n−	α1(n−	NOUN
ejpam-5137	123	17	µq,1	µq,1	ADJ
ejpam-5137	123	18	)	)	PUNCT
ejpam-5137	123	19	+	+	CCONJ
ejpam-5137	123	20	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	123	21	µq,2	µq,2	NOUN
ejpam-5137	123	22	)	)	PUNCT
ejpam-5137	123	23	}	}	PUNCT
ejpam-5137	123	24	.	.	PUNCT
ejpam-5137	124	1	solving	solve	VERB
ejpam-5137	124	2	for	for	ADP
ejpam-5137	124	3	r	r	NOUN
ejpam-5137	124	4	=	=	SYM
ejpam-5137	124	5	r(n	r(n	PROPN
ejpam-5137	124	6	,	,	PUNCT
ejpam-5137	124	7	ϵ	ϵ	NOUN
ejpam-5137	124	8	)	)	PUNCT
ejpam-5137	124	9	,	,	PUNCT
ejpam-5137	124	10	r(n	r(n	PROPN
ejpam-5137	124	11	,	,	PUNCT
ejpam-5137	124	12	ϵ	ϵ	X
ejpam-5137	124	13	)	)	PUNCT
ejpam-5137	124	14	=	=	SYM
ejpam-5137	125	1	(	(	PUNCT
ejpam-5137	125	2	q	q	PROPN
ejpam-5137	125	3	1−	1−	NUM
ejpam-5137	125	4	α0(1−	α0(1−	NOUN
ejpam-5137	125	5	q	q	NOUN
ejpam-5137	125	6	)	)	PUNCT
ejpam-5137	125	7	)	)	PUNCT
ejpam-5137	125	8	1	1	NUM
ejpam-5137	125	9	1−q	1−q	NUM
ejpam-5137	125	10	(	(	PUNCT
ejpam-5137	125	11	1	1	NUM
ejpam-5137	125	12	+	+	CCONJ
ejpam-5137	125	13	(	(	PUNCT
ejpam-5137	125	14	1−	1−	NUM
ejpam-5137	125	15	q)(α1(n−	q)(α1(n−	NOUN
ejpam-5137	125	16	µq,1	µq,1	PROPN
ejpam-5137	125	17	)	)	PUNCT
ejpam-5137	125	18	+	+	CCONJ
ejpam-5137	125	19	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	125	20	µq,2	µq,2	NOUN
ejpam-5137	125	21	)	)	PUNCT
ejpam-5137	125	22	)	)	PUNCT
ejpam-5137	125	23	1	1	NUM
ejpam-5137	125	24	1−q	1−q	NUM
ejpam-5137	125	25	.	.	PUNCT
ejpam-5137	126	1	(	(	PUNCT
ejpam-5137	126	2	31	31	NUM
ejpam-5137	126	3	)	)	PUNCT
ejpam-5137	126	4	substitution	substitution	NOUN
ejpam-5137	126	5	to	to	ADP
ejpam-5137	126	6	(	(	PUNCT
ejpam-5137	126	7	22	22	NUM
ejpam-5137	126	8	)	)	PUNCT
ejpam-5137	126	9	,	,	PUNCT
ejpam-5137	127	1	n∑	n∑	PROPN
ejpam-5137	127	2	n=1	n=1	PROPN
ejpam-5137	127	3	∫	∫	PROPN
ejpam-5137	127	4	e	e	PROPN
ejpam-5137	127	5	ϵ=1	ϵ=1	PROPN
ejpam-5137	127	6	(	(	PUNCT
ejpam-5137	127	7	q	q	PROPN
ejpam-5137	127	8	1−	1−	NUM
ejpam-5137	127	9	α0(1−	α0(1−	NOUN
ejpam-5137	127	10	q	q	NOUN
ejpam-5137	127	11	)	)	PUNCT
ejpam-5137	127	12	)	)	PUNCT
ejpam-5137	127	13	1	1	NUM
ejpam-5137	127	14	1−q	1−q	NUM
ejpam-5137	127	15	(	(	PUNCT
ejpam-5137	127	16	1	1	NUM
ejpam-5137	127	17	+	+	CCONJ
ejpam-5137	127	18	(	(	PUNCT
ejpam-5137	127	19	1−	1−	NUM
ejpam-5137	127	20	q)(α1(n−	q)(α1(n−	NOUN
ejpam-5137	127	21	µq,1	µq,1	PROPN
ejpam-5137	127	22	)	)	PUNCT
ejpam-5137	127	23	+	+	CCONJ
ejpam-5137	127	24	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	127	25	µq,2	µq,2	NOUN
ejpam-5137	127	26	)	)	PUNCT
ejpam-5137	127	27	)	)	PUNCT
ejpam-5137	127	28	)	)	PUNCT
ejpam-5137	127	29	1	1	NUM
ejpam-5137	127	30	1−q	1−q	NUM
ejpam-5137	127	31	dϵ	dϵ	NOUN
ejpam-5137	127	32	=	=	SYM
ejpam-5137	127	33	1	1	NUM
ejpam-5137	127	34	,	,	PUNCT
ejpam-5137	127	35	which	which	PRON
ejpam-5137	127	36	will	will	AUX
ejpam-5137	127	37	give	give	VERB
ejpam-5137	127	38	(	(	PUNCT
ejpam-5137	127	39	q	q	PROPN
ejpam-5137	127	40	1−	1−	NUM
ejpam-5137	127	41	α0(1−	α0(1−	NOUN
ejpam-5137	127	42	q	q	NOUN
ejpam-5137	127	43	)	)	PUNCT
ejpam-5137	127	44	)	)	PUNCT
ejpam-5137	127	45	1	1	NUM
ejpam-5137	127	46	1−q	1−q	NUM
ejpam-5137	127	47	=	=	SYM
ejpam-5137	127	48	1∑n	1∑n	NUM
ejpam-5137	127	49	n=1	n=1	PROPN
ejpam-5137	127	50	∫	∫	PROPN
ejpam-5137	127	51	e	e	NOUN
ejpam-5137	127	52	ϵ=1	ϵ=1	NUM
ejpam-5137	127	53	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	127	54	µq,1	µq,1	NOUN
ejpam-5137	127	55	)	)	PUNCT
ejpam-5137	128	1	+	+	CCONJ
ejpam-5137	129	1	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	129	2	µq,2))dϵ	µq,2))dϵ	ADP
ejpam-5137	129	3	.	.	PUNCT
ejpam-5137	130	1	(	(	PUNCT
ejpam-5137	130	2	32	32	NUM
ejpam-5137	130	3	)	)	PUNCT
ejpam-5137	130	4	let	let	VERB
ejpam-5137	130	5	zq	zq	PROPN
ejpam-5137	130	6	=	=	PROPN
ejpam-5137	131	1	n∑	n∑	PROPN
ejpam-5137	131	2	n=1	n=1	PROPN
ejpam-5137	132	1	∫	∫	PROPN
ejpam-5137	132	2	e	e	PROPN
ejpam-5137	132	3	ϵ=1	ϵ=1	NUM
ejpam-5137	132	4	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	132	5	µq,1	µq,1	NOUN
ejpam-5137	132	6	)	)	PUNCT
ejpam-5137	133	1	+	+	CCONJ
ejpam-5137	133	2	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	133	3	µq,2))dϵ.	µq,2))dϵ.	NOUN
ejpam-5137	133	4	(	(	PUNCT
ejpam-5137	133	5	33	33	NUM
ejpam-5137	133	6	)	)	PUNCT
ejpam-5137	133	7	now	now	ADV
ejpam-5137	133	8	,	,	PUNCT
ejpam-5137	133	9	with	with	ADP
ejpam-5137	133	10	r(n	r(n	PROPN
ejpam-5137	133	11	,	,	PUNCT
ejpam-5137	133	12	ϵ	ϵ	X
ejpam-5137	133	13	)	)	PUNCT
ejpam-5137	133	14	being	be	AUX
ejpam-5137	133	15	a	a	DET
ejpam-5137	133	16	function	function	NOUN
ejpam-5137	133	17	of	of	ADP
ejpam-5137	133	18	q	q	NOUN
ejpam-5137	133	19	,	,	PUNCT
ejpam-5137	133	20	we	we	PRON
ejpam-5137	133	21	can	can	AUX
ejpam-5137	133	22	write	write	VERB
ejpam-5137	133	23	r(n	r(n	PROPN
ejpam-5137	133	24	,	,	PUNCT
ejpam-5137	133	25	ϵ	ϵ	NOUN
ejpam-5137	133	26	)	)	PUNCT
ejpam-5137	133	27	=	=	SYM
ejpam-5137	134	1	r(n	r(n	PROPN
ejpam-5137	134	2	,	,	PUNCT
ejpam-5137	134	3	ϵ	ϵ	X
ejpam-5137	134	4	,	,	PUNCT
ejpam-5137	134	5	q	q	NOUN
ejpam-5137	134	6	)	)	PUNCT
ejpam-5137	134	7	.	.	PUNCT
ejpam-5137	135	1	hence	hence	ADV
ejpam-5137	135	2	,	,	PUNCT
ejpam-5137	135	3	r(n	r(n	PROPN
ejpam-5137	135	4	,	,	PUNCT
ejpam-5137	135	5	ϵ	ϵ	X
ejpam-5137	135	6	,	,	PUNCT
ejpam-5137	135	7	q	q	NOUN
ejpam-5137	135	8	)	)	PUNCT
ejpam-5137	135	9	=	=	SYM
ejpam-5137	135	10	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	135	11	µq,1	µq,1	NOUN
ejpam-5137	135	12	)	)	PUNCT
ejpam-5137	135	13	+	+	CCONJ
ejpam-5137	135	14	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	135	15	µq,2	µq,2	NOUN
ejpam-5137	135	16	)	)	PUNCT
ejpam-5137	135	17	)	)	PUNCT
ejpam-5137	135	18	zq	zq	PROPN
ejpam-5137	135	19	.	.	PUNCT
ejpam-5137	136	1	(	(	PUNCT
ejpam-5137	136	2	34	34	NUM
ejpam-5137	136	3	)	)	PUNCT
ejpam-5137	136	4	the	the	DET
ejpam-5137	136	5	expression	expression	NOUN
ejpam-5137	136	6	in	in	ADP
ejpam-5137	136	7	(	(	PUNCT
ejpam-5137	136	8	34	34	NUM
ejpam-5137	136	9	)	)	PUNCT
ejpam-5137	136	10	will	will	AUX
ejpam-5137	136	11	be	be	AUX
ejpam-5137	136	12	called	call	VERB
ejpam-5137	136	13	the	the	DET
ejpam-5137	136	14	q	q	NOUN
ejpam-5137	136	15	-	-	PUNCT
ejpam-5137	136	16	esf	esf	NOUN
ejpam-5137	136	17	denoted	denote	VERB
ejpam-5137	136	18	by	by	ADP
ejpam-5137	136	19	r(n	r(n	PROPN
ejpam-5137	136	20	,	,	PUNCT
ejpam-5137	136	21	ϵ	ϵ	X
ejpam-5137	136	22	,	,	PUNCT
ejpam-5137	136	23	q	q	NOUN
ejpam-5137	136	24	)	)	PUNCT
ejpam-5137	136	25	and	and	CCONJ
ejpam-5137	136	26	zq	zq	PROPN
ejpam-5137	136	27	given	give	VERB
ejpam-5137	136	28	in	in	ADP
ejpam-5137	136	29	(	(	PUNCT
ejpam-5137	136	30	33	33	NUM
ejpam-5137	136	31	)	)	PUNCT
ejpam-5137	136	32	is	be	AUX
ejpam-5137	136	33	the	the	DET
ejpam-5137	136	34	corresponding	correspond	VERB
ejpam-5137	136	35	partition	partition	NOUN
ejpam-5137	136	36	function	function	NOUN
ejpam-5137	136	37	.	.	PUNCT
ejpam-5137	137	1	solving	solve	VERB
ejpam-5137	137	2	the	the	DET
ejpam-5137	137	3	integral	integral	ADJ
ejpam-5137	137	4	involved	involve	VERB
ejpam-5137	137	5	in	in	ADP
ejpam-5137	137	6	the	the	DET
ejpam-5137	137	7	partition	partition	NOUN
ejpam-5137	137	8	function,∫	function,∫	ADJ
ejpam-5137	137	9	e	e	X
ejpam-5137	137	10	ϵ=1	ϵ=1	NUM
ejpam-5137	137	11	expq(α1(n−	expq(α1(n−	ADJ
ejpam-5137	137	12	µq,1)+α2(nϵ−	µq,1)+α2(nϵ−	NOUN
ejpam-5137	137	13	µq,2))dϵ	µq,2))dϵ	ADP
ejpam-5137	137	14	=	=	SYM
ejpam-5137	137	15	∫	∫	PROPN
ejpam-5137	137	16	e	e	NOUN
ejpam-5137	137	17	ϵ=1	ϵ=1	X
ejpam-5137	137	18	(	(	PUNCT
ejpam-5137	137	19	1	1	NUM
ejpam-5137	137	20	+	+	CCONJ
ejpam-5137	137	21	(	(	PUNCT
ejpam-5137	137	22	1−	1−	NUM
ejpam-5137	137	23	q){α1(n−	q){α1(n−	NOUN
ejpam-5137	137	24	µq,1	µq,1	PROPN
ejpam-5137	137	25	)	)	PUNCT
ejpam-5137	138	1	+	+	CCONJ
ejpam-5137	138	2	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	138	3	µq,2)})dϵ	µq,2)})dϵ	NOUN
ejpam-5137	138	4	=	=	SYM
ejpam-5137	138	5	1	1	NUM
ejpam-5137	138	6	α2n(2−	α2n(2−	NOUN
ejpam-5137	138	7	q	q	NOUN
ejpam-5137	138	8	)	)	PUNCT
ejpam-5137	138	9	(	(	PUNCT
ejpam-5137	138	10	exp2−q	exp2−q	ADV
ejpam-5137	138	11	q	q	X
ejpam-5137	138	12	(	(	PUNCT
ejpam-5137	138	13	ue)−	ue)−	ADV
ejpam-5137	138	14	exp2−q	exp2−q	ADV
ejpam-5137	138	15	q	q	NOUN
ejpam-5137	138	16	(	(	PUNCT
ejpam-5137	138	17	u1	u1	NOUN
ejpam-5137	138	18	)	)	PUNCT
ejpam-5137	138	19	)	)	PUNCT
ejpam-5137	138	20	,	,	PUNCT
ejpam-5137	138	21	where	where	SCONJ
ejpam-5137	138	22	u	u	NOUN
ejpam-5137	138	23	=	=	SYM
ejpam-5137	138	24	α1(n−	α1(n−	X
ejpam-5137	138	25	µq,1	µq,1	NOUN
ejpam-5137	138	26	)	)	PUNCT
ejpam-5137	138	27	+	+	CCONJ
ejpam-5137	138	28	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	138	29	µq,2	µq,2	NOUN
ejpam-5137	138	30	)	)	PUNCT
ejpam-5137	138	31	,	,	PUNCT
ejpam-5137	138	32	ue	ue	PROPN
ejpam-5137	138	33	=	=	SYM
ejpam-5137	138	34	u(ϵ	u(ϵ	PROPN
ejpam-5137	138	35	=	=	SYM
ejpam-5137	138	36	e	e	NOUN
ejpam-5137	138	37	)	)	PUNCT
ejpam-5137	138	38	,	,	PUNCT
ejpam-5137	138	39	u1	u1	NOUN
ejpam-5137	138	40	=	=	SYM
ejpam-5137	138	41	u(ϵ	u(ϵ	PROPN
ejpam-5137	138	42	=	=	NOUN
ejpam-5137	138	43	1	1	NUM
ejpam-5137	138	44	)	)	PUNCT
ejpam-5137	138	45	.	.	PUNCT
ejpam-5137	139	1	then	then	ADV
ejpam-5137	139	2	zq	zq	PROPN
ejpam-5137	139	3	=	=	SYM
ejpam-5137	139	4	1	1	NUM
ejpam-5137	139	5	α2(2−	α2(2−	PROPN
ejpam-5137	139	6	q	q	NOUN
ejpam-5137	139	7	)	)	PUNCT
ejpam-5137	139	8	n∑	n∑	NOUN
ejpam-5137	139	9	n=1	n=1	ADP
ejpam-5137	139	10	1	1	NUM
ejpam-5137	139	11	n	n	NOUN
ejpam-5137	139	12	[	[	PUNCT
ejpam-5137	139	13	(	(	PUNCT
ejpam-5137	139	14	expq	expq	ADJ
ejpam-5137	139	15	ue	ue	PROPN
ejpam-5137	139	16	)	)	PUNCT
ejpam-5137	139	17	2−q	2−q	NUM
ejpam-5137	139	18	−	−	PROPN
ejpam-5137	139	19	(	(	PUNCT
ejpam-5137	139	20	expq	expq	ADJ
ejpam-5137	139	21	u1	u1	NOUN
ejpam-5137	139	22	)	)	PUNCT
ejpam-5137	139	23	2−q	2−q	NUM
ejpam-5137	139	24	]	]	PUNCT
ejpam-5137	139	25	,	,	PUNCT
ejpam-5137	139	26	(	(	PUNCT
ejpam-5137	139	27	35	35	NUM
ejpam-5137	139	28	)	)	PUNCT
ejpam-5137	139	29	and	and	CCONJ
ejpam-5137	139	30	r(n	r(n	PROPN
ejpam-5137	139	31	,	,	PUNCT
ejpam-5137	139	32	ϵ	ϵ	X
ejpam-5137	139	33	,	,	PUNCT
ejpam-5137	139	34	q	q	NOUN
ejpam-5137	139	35	)	)	PUNCT
ejpam-5137	139	36	=	=	PUNCT
ejpam-5137	139	37	α2(2−	α2(2−	NOUN
ejpam-5137	139	38	q	q	X
ejpam-5137	139	39	)	)	PUNCT
ejpam-5137	139	40	expq	expq	ADJ
ejpam-5137	139	41	(	(	PUNCT
ejpam-5137	139	42	α1(n−	α1(n−	NUM
ejpam-5137	139	43	µq,1	µq,1	ADJ
ejpam-5137	139	44	)	)	PUNCT
ejpam-5137	140	1	+	+	NUM
ejpam-5137	141	1	α2(nϵ−	α2(nϵ−	NUM
ejpam-5137	141	2	µq,2))∑n	µq,2))∑n	NOUN
ejpam-5137	141	3	n=1	n=1	ADP
ejpam-5137	141	4	1	1	NUM
ejpam-5137	141	5	n	n	NOUN
ejpam-5137	141	6	[	[	PUNCT
ejpam-5137	141	7	(	(	PUNCT
ejpam-5137	141	8	expq	expq	ADJ
ejpam-5137	141	9	ue	ue	PROPN
ejpam-5137	141	10	)	)	PUNCT
ejpam-5137	141	11	2−q	2−q	NUM
ejpam-5137	141	12	−	−	PROPN
ejpam-5137	141	13	(	(	PUNCT
ejpam-5137	141	14	expq	expq	ADJ
ejpam-5137	141	15	u1	u1	NOUN
ejpam-5137	141	16	)	)	PUNCT
ejpam-5137	141	17	2−q	2−q	NUM
ejpam-5137	141	18	]	]	PUNCT
ejpam-5137	141	19	.	.	PUNCT
ejpam-5137	142	1	c.	c.	PROPN
ejpam-5137	142	2	corcino	corcino	PROPN
ejpam-5137	142	3	,	,	PUNCT
ejpam-5137	142	4	r.	r.	PROPN
ejpam-5137	142	5	corcino	corcino	PROPN
ejpam-5137	142	6	,	,	PUNCT
ejpam-5137	142	7	j.	j.	PROPN
ejpam-5137	142	8	picardal	picardal	PROPN
ejpam-5137	142	9	/	/	SYM
ejpam-5137	142	10	eur	eur	PROPN
ejpam-5137	142	11	.	.	PUNCT
ejpam-5137	143	1	j.	j.	PROPN
ejpam-5137	143	2	pure	pure	PROPN
ejpam-5137	143	3	appl	appl	PROPN
ejpam-5137	143	4	.	.	PROPN
ejpam-5137	143	5	math	math	PROPN
ejpam-5137	143	6	,	,	PUNCT
ejpam-5137	143	7	17	17	NUM
ejpam-5137	143	8	(	(	PUNCT
ejpam-5137	143	9	3	3	NUM
ejpam-5137	143	10	)	)	PUNCT
ejpam-5137	143	11	(	(	PUNCT
ejpam-5137	143	12	2024	2024	NUM
ejpam-5137	143	13	)	)	PUNCT
ejpam-5137	143	14	,	,	PUNCT
ejpam-5137	143	15	1674	1674	NUM
ejpam-5137	143	16	-	-	SYM
ejpam-5137	143	17	1684	1684	NUM
ejpam-5137	143	18	1681	1681	NUM
ejpam-5137	143	19	4	4	NUM
ejpam-5137	143	20	.	.	PUNCT
ejpam-5137	144	1	examples	example	NOUN
ejpam-5137	144	2	in	in	ADP
ejpam-5137	144	3	this	this	DET
ejpam-5137	144	4	section	section	NOUN
ejpam-5137	144	5	,	,	PUNCT
ejpam-5137	144	6	examples	example	NOUN
ejpam-5137	144	7	are	be	AUX
ejpam-5137	144	8	provided	provide	VERB
ejpam-5137	144	9	to	to	PART
ejpam-5137	144	10	illustrate	illustrate	VERB
ejpam-5137	144	11	the	the	DET
ejpam-5137	144	12	generalized	generalized	ADJ
ejpam-5137	144	13	ssf	ssf	NOUN
ejpam-5137	144	14	.	.	PUNCT
ejpam-5137	144	15	example	example	NOUN
ejpam-5137	145	1	1	1	NUM
ejpam-5137	145	2	.	.	PUNCT
ejpam-5137	145	3	to	to	PART
ejpam-5137	145	4	be	be	AUX
ejpam-5137	145	5	able	able	ADJ
ejpam-5137	145	6	to	to	PART
ejpam-5137	145	7	give	give	VERB
ejpam-5137	145	8	an	an	DET
ejpam-5137	145	9	example	example	NOUN
ejpam-5137	145	10	for	for	ADP
ejpam-5137	145	11	(	(	PUNCT
ejpam-5137	145	12	15	15	NUM
ejpam-5137	145	13	)	)	PUNCT
ejpam-5137	145	14	,	,	PUNCT
ejpam-5137	145	15	the	the	DET
ejpam-5137	145	16	values	value	NOUN
ejpam-5137	145	17	of	of	ADP
ejpam-5137	145	18	q	q	NOUN
ejpam-5137	145	19	,	,	PUNCT
ejpam-5137	145	20	µq	µq	PROPN
ejpam-5137	145	21	,	,	PUNCT
ejpam-5137	145	22	and	and	CCONJ
ejpam-5137	145	23	n	n	PRON
ejpam-5137	145	24	must	must	AUX
ejpam-5137	145	25	be	be	AUX
ejpam-5137	145	26	specified	specify	VERB
ejpam-5137	145	27	.	.	PUNCT
ejpam-5137	146	1	taking	take	VERB
ejpam-5137	146	2	q	q	NOUN
ejpam-5137	146	3	=	=	NUM
ejpam-5137	146	4	1	1	NUM
ejpam-5137	146	5	2	2	NUM
ejpam-5137	146	6	,	,	PUNCT
ejpam-5137	146	7	µ	µ	NOUN
ejpam-5137	146	8	1	1	NUM
ejpam-5137	146	9	2	2	NUM
ejpam-5137	146	10	=	=	SYM
ejpam-5137	146	11	2	2	NUM
ejpam-5137	146	12	and	and	CCONJ
ejpam-5137	146	13	n	n	NOUN
ejpam-5137	146	14	=	=	SYM
ejpam-5137	146	15	1	1	NUM
ejpam-5137	146	16	,	,	PUNCT
ejpam-5137	146	17	2	2	NUM
ejpam-5137	146	18	,	,	PUNCT
ejpam-5137	146	19	3	3	NUM
ejpam-5137	146	20	,	,	PUNCT
ejpam-5137	146	21	the	the	DET
ejpam-5137	146	22	partition	partition	NOUN
ejpam-5137	146	23	function	function	NOUN
ejpam-5137	146	24	(	(	PUNCT
ejpam-5137	146	25	21	21	NUM
ejpam-5137	146	26	)	)	PUNCT
ejpam-5137	146	27	is	be	AUX
ejpam-5137	146	28	zq	zq	PROPN
ejpam-5137	146	29	=	=	SYM
ejpam-5137	146	30	3∑	3∑	NUM
ejpam-5137	146	31	n=1	n=1	PROPN
ejpam-5137	146	32	exp1/2(α1(n−	exp1/2(α1(n−	NOUN
ejpam-5137	146	33	µ1/2	µ1/2	ADJ
ejpam-5137	146	34	)	)	PUNCT
ejpam-5137	146	35	)	)	PUNCT
ejpam-5137	147	1	=	=	SYM
ejpam-5137	147	2	3∑	3∑	NUM
ejpam-5137	147	3	n=1	n=1	PROPN
ejpam-5137	147	4	(	(	PUNCT
ejpam-5137	147	5	1	1	NUM
ejpam-5137	147	6	+	+	SYM
ejpam-5137	147	7	1	1	NUM
ejpam-5137	147	8	2	2	NUM
ejpam-5137	147	9	α1(n−	α1(n−	NUM
ejpam-5137	147	10	2	2	NUM
ejpam-5137	147	11	)	)	PUNCT
ejpam-5137	147	12	)	)	PUNCT
ejpam-5137	147	13	2	2	NUM
ejpam-5137	147	14	=	=	SYM
ejpam-5137	147	15	3	3	NUM
ejpam-5137	147	16	+	+	CCONJ
ejpam-5137	147	17	(	(	PUNCT
ejpam-5137	147	18	α1	α1	PROPN
ejpam-5137	147	19	)	)	PUNCT
ejpam-5137	147	20	2	2	NUM
ejpam-5137	147	21	2	2	NUM
ejpam-5137	147	22	.	.	PUNCT
ejpam-5137	148	1	the	the	DET
ejpam-5137	148	2	probability	probability	NOUN
ejpam-5137	148	3	function	function	NOUN
ejpam-5137	148	4	(	(	PUNCT
ejpam-5137	148	5	15	15	NUM
ejpam-5137	148	6	)	)	PUNCT
ejpam-5137	148	7	becomes	become	VERB
ejpam-5137	148	8	π(n	π(n	PROPN
ejpam-5137	148	9	,	,	PUNCT
ejpam-5137	148	10	1/2	1/2	NUM
ejpam-5137	148	11	)	)	PUNCT
ejpam-5137	148	12	=	=	SYM
ejpam-5137	148	13	exp1/2(α1(n−	exp1/2(α1(n−	NOUN
ejpam-5137	148	14	2	2	NUM
ejpam-5137	148	15	)	)	PUNCT
ejpam-5137	148	16	)	)	PUNCT
ejpam-5137	148	17	3	3	NUM
ejpam-5137	149	1	+	+	CCONJ
ejpam-5137	149	2	α2	α2	ADJ
ejpam-5137	149	3	1	1	NUM
ejpam-5137	149	4	2	2	NUM
ejpam-5137	149	5	=	=	SYM
ejpam-5137	149	6	(	(	PUNCT
ejpam-5137	149	7	1	1	NUM
ejpam-5137	149	8	+	+	NUM
ejpam-5137	149	9	1	1	NUM
ejpam-5137	149	10	2α1(n−	2α1(n−	NUM
ejpam-5137	149	11	2	2	NUM
ejpam-5137	149	12	)	)	PUNCT
ejpam-5137	149	13	)	)	PUNCT
ejpam-5137	149	14	2	2	NUM
ejpam-5137	149	15	3	3	NUM
ejpam-5137	149	16	+	+	CCONJ
ejpam-5137	149	17	α2	α2	ADJ
ejpam-5137	149	18	1	1	NUM
ejpam-5137	149	19	2	2	NUM
ejpam-5137	149	20	.	.	PUNCT
ejpam-5137	150	1	it	it	PRON
ejpam-5137	150	2	can	can	AUX
ejpam-5137	150	3	be	be	AUX
ejpam-5137	150	4	verified	verify	VERB
ejpam-5137	150	5	that	that	SCONJ
ejpam-5137	150	6	∑3	∑3	PROPN
ejpam-5137	150	7	n=1π(n	n=1π(n	PROPN
ejpam-5137	150	8	,	,	PUNCT
ejpam-5137	150	9	1/2	1/2	NUM
ejpam-5137	150	10	)	)	PUNCT
ejpam-5137	150	11	=	=	SYM
ejpam-5137	151	1	1	1	X
ejpam-5137	151	2	.	.	PUNCT
ejpam-5137	151	3	to	to	PART
ejpam-5137	151	4	determine	determine	VERB
ejpam-5137	151	5	α1	α1	PROPN
ejpam-5137	151	6	,	,	PUNCT
ejpam-5137	151	7	impose	impose	VERB
ejpam-5137	151	8	the	the	DET
ejpam-5137	151	9	second	second	ADJ
ejpam-5137	151	10	constraint	constraint	NOUN
ejpam-5137	151	11	(	(	PUNCT
ejpam-5137	151	12	17	17	NUM
ejpam-5137	151	13	)	)	PUNCT
ejpam-5137	151	14	to	to	PART
ejpam-5137	151	15	yield	yield	VERB
ejpam-5137	151	16	3∑	3∑	NUM
ejpam-5137	151	17	n=1	n=1	PUNCT
ejpam-5137	151	18	nπ(n	nπ(n	NOUN
ejpam-5137	151	19	,	,	PUNCT
ejpam-5137	151	20	1/2	1/2	NUM
ejpam-5137	151	21	)	)	PUNCT
ejpam-5137	152	1	1	1	NUM
ejpam-5137	152	2	2	2	NUM
ejpam-5137	152	3	=	=	SYM
ejpam-5137	152	4	2	2	NUM
ejpam-5137	152	5	3∑	3∑	NUM
ejpam-5137	152	6	n=1	n=1	PUNCT
ejpam-5137	152	7	π(n	π(n	PROPN
ejpam-5137	152	8	,	,	PUNCT
ejpam-5137	152	9	1/2	1/2	NUM
ejpam-5137	152	10	)	)	PUNCT
ejpam-5137	152	11	1	1	NUM
ejpam-5137	152	12	2	2	NUM
ejpam-5137	152	13	−π(n	−π(n	PROPN
ejpam-5137	152	14	,	,	PUNCT
ejpam-5137	152	15	1/2	1/2	NUM
ejpam-5137	152	16	)	)	PUNCT
ejpam-5137	152	17	1	1	NUM
ejpam-5137	152	18	2	2	NUM
ejpam-5137	153	1	+	+	NOUN
ejpam-5137	153	2	π(3	π(3	NOUN
ejpam-5137	153	3	,	,	PUNCT
ejpam-5137	153	4	1/2	1/2	NUM
ejpam-5137	153	5	)	)	PUNCT
ejpam-5137	153	6	1	1	NUM
ejpam-5137	153	7	2	2	NUM
ejpam-5137	153	8	=	=	SYM
ejpam-5137	153	9	0	0	NUM
ejpam-5137	153	10	,	,	PUNCT
ejpam-5137	153	11	from	from	ADP
ejpam-5137	153	12	which	which	PRON
ejpam-5137	153	13	α1	α1	PROPN
ejpam-5137	153	14	=	=	SYM
ejpam-5137	153	15	0	0	NUM
ejpam-5137	153	16	.	.	PUNCT
ejpam-5137	154	1	thus	thus	ADV
ejpam-5137	154	2	,	,	PUNCT
ejpam-5137	154	3	the	the	DET
ejpam-5137	154	4	desired	desire	VERB
ejpam-5137	154	5	probability	probability	NOUN
ejpam-5137	154	6	function	function	NOUN
ejpam-5137	154	7	is	be	AUX
ejpam-5137	154	8	the	the	DET
ejpam-5137	154	9	uniform	uniform	ADJ
ejpam-5137	154	10	distribution	distribution	NOUN
ejpam-5137	154	11	,	,	PUNCT
ejpam-5137	154	12	π(n	π(n	PROPN
ejpam-5137	154	13	,	,	PUNCT
ejpam-5137	154	14	1/2	1/2	NUM
ejpam-5137	154	15	)	)	PUNCT
ejpam-5137	154	16	=	=	SYM
ejpam-5137	154	17	1	1	NUM
ejpam-5137	154	18	3	3	NUM
ejpam-5137	154	19	,	,	PUNCT
ejpam-5137	154	20	n	n	NOUN
ejpam-5137	154	21	=	=	SYM
ejpam-5137	154	22	1	1	NUM
ejpam-5137	154	23	,	,	PUNCT
ejpam-5137	154	24	2	2	NUM
ejpam-5137	154	25	,	,	PUNCT
ejpam-5137	154	26	3	3	NUM
ejpam-5137	154	27	.	.	NOUN
ejpam-5137	154	28	example	example	NOUN
ejpam-5137	155	1	2	2	NUM
ejpam-5137	155	2	.	.	PUNCT
ejpam-5137	156	1	as	as	ADP
ejpam-5137	156	2	a	a	DET
ejpam-5137	156	3	second	second	ADJ
ejpam-5137	156	4	example	example	NOUN
ejpam-5137	156	5	for	for	ADP
ejpam-5137	156	6	(	(	PUNCT
ejpam-5137	156	7	15	15	NUM
ejpam-5137	156	8	)	)	PUNCT
ejpam-5137	156	9	,	,	PUNCT
ejpam-5137	156	10	take	take	VERB
ejpam-5137	156	11	q	q	NOUN
ejpam-5137	156	12	=	=	NUM
ejpam-5137	156	13	2	2	NUM
ejpam-5137	156	14	3	3	NUM
ejpam-5137	156	15	,	,	PUNCT
ejpam-5137	156	16	µ2/3	µ2/3	PROPN
ejpam-5137	156	17	=	=	SYM
ejpam-5137	156	18	2	2	NUM
ejpam-5137	156	19	,	,	PUNCT
ejpam-5137	156	20	n	n	NOUN
ejpam-5137	156	21	=	=	SYM
ejpam-5137	156	22	1	1	NUM
ejpam-5137	156	23	,	,	PUNCT
ejpam-5137	156	24	2	2	NUM
ejpam-5137	156	25	,	,	PUNCT
ejpam-5137	156	26	3	3	NUM
ejpam-5137	156	27	,	,	PUNCT
ejpam-5137	156	28	4	4	NUM
ejpam-5137	156	29	,	,	PUNCT
ejpam-5137	156	30	5	5	NUM
ejpam-5137	156	31	.	.	PUNCT
ejpam-5137	157	1	the	the	DET
ejpam-5137	157	2	partition	partition	NOUN
ejpam-5137	157	3	function	function	NOUN
ejpam-5137	157	4	(	(	PUNCT
ejpam-5137	157	5	21	21	NUM
ejpam-5137	157	6	)	)	PUNCT
ejpam-5137	157	7	is	be	AUX
ejpam-5137	157	8	z2/3	z2/3	PROPN
ejpam-5137	157	9	=	=	SYM
ejpam-5137	158	1	5∑	5∑	ADJ
ejpam-5137	158	2	n=1	n=1	PROPN
ejpam-5137	158	3	exp2/3(α1(n−	exp2/3(α1(n−	VERB
ejpam-5137	158	4	2	2	NUM
ejpam-5137	158	5	)	)	PUNCT
ejpam-5137	158	6	)	)	PUNCT
ejpam-5137	159	1	=	=	SYM
ejpam-5137	159	2	5∑	5∑	NUM
ejpam-5137	159	3	n=1	n=1	PROPN
ejpam-5137	159	4	(	(	PUNCT
ejpam-5137	159	5	1	1	NUM
ejpam-5137	159	6	+	+	NUM
ejpam-5137	159	7	1	1	NUM
ejpam-5137	159	8	3	3	NUM
ejpam-5137	159	9	α1(n−	α1(n−	NUM
ejpam-5137	159	10	2	2	NUM
ejpam-5137	159	11	)	)	PUNCT
ejpam-5137	159	12	)	)	PUNCT
ejpam-5137	159	13	3	3	NUM
ejpam-5137	159	14	=	=	SYM
ejpam-5137	159	15	5	5	NUM
ejpam-5137	159	16	+	+	SYM
ejpam-5137	159	17	5α1	5α1	NUM
ejpam-5137	159	18	+	+	CCONJ
ejpam-5137	159	19	5α2	5α2	NUM
ejpam-5137	159	20	1	1	NUM
ejpam-5137	159	21	+	+	NUM
ejpam-5137	159	22	35	35	NUM
ejpam-5137	159	23	27	27	NUM
ejpam-5137	159	24	α3	α3	NOUN
ejpam-5137	159	25	1	1	NUM
ejpam-5137	159	26	.	.	PUNCT
ejpam-5137	159	27	to	to	PART
ejpam-5137	159	28	determine	determine	VERB
ejpam-5137	159	29	α1	α1	PROPN
ejpam-5137	159	30	,	,	PUNCT
ejpam-5137	159	31	impose	impose	VERB
ejpam-5137	159	32	the	the	DET
ejpam-5137	159	33	second	second	ADJ
ejpam-5137	159	34	constraint	constraint	NOUN
ejpam-5137	159	35	(	(	PUNCT
ejpam-5137	159	36	17	17	NUM
ejpam-5137	159	37	)	)	PUNCT
ejpam-5137	159	38	5∑	5∑	PROPN
ejpam-5137	159	39	n=1	n=1	PUNCT
ejpam-5137	159	40	nπ(n	nπ(n	NOUN
ejpam-5137	159	41	,	,	PUNCT
ejpam-5137	159	42	2/3	2/3	NUM
ejpam-5137	159	43	)	)	PUNCT
ejpam-5137	159	44	2	2	NUM
ejpam-5137	159	45	3	3	NUM
ejpam-5137	159	46	=	=	SYM
ejpam-5137	159	47	2	2	NUM
ejpam-5137	159	48	5∑	5∑	NUM
ejpam-5137	159	49	n=1	n=1	PROPN
ejpam-5137	159	50	π(n	π(n	PROPN
ejpam-5137	159	51	,	,	PUNCT
ejpam-5137	159	52	2/3	2/3	NUM
ejpam-5137	159	53	)	)	PUNCT
ejpam-5137	159	54	2	2	NUM
ejpam-5137	159	55	3	3	NUM
ejpam-5137	159	56	,	,	PUNCT
ejpam-5137	159	57	which	which	PRON
ejpam-5137	159	58	will	will	AUX
ejpam-5137	159	59	yield	yield	VERB
ejpam-5137	159	60	the	the	DET
ejpam-5137	159	61	equation	equation	NOUN
ejpam-5137	159	62	45	45	NUM
ejpam-5137	159	63	+	+	SYM
ejpam-5137	159	64	90α1	90α1	NUM
ejpam-5137	159	65	+	+	CCONJ
ejpam-5137	159	66	35α2	35α2	NUM
ejpam-5137	159	67	1	1	NUM
ejpam-5137	159	68	=	=	SYM
ejpam-5137	159	69	0	0	NUM
ejpam-5137	159	70	.	.	PUNCT
ejpam-5137	160	1	c.	c.	PROPN
ejpam-5137	160	2	corcino	corcino	PROPN
ejpam-5137	160	3	,	,	PUNCT
ejpam-5137	160	4	r.	r.	PROPN
ejpam-5137	160	5	corcino	corcino	PROPN
ejpam-5137	160	6	,	,	PUNCT
ejpam-5137	160	7	j.	j.	PROPN
ejpam-5137	160	8	picardal	picardal	PROPN
ejpam-5137	160	9	/	/	SYM
ejpam-5137	160	10	eur	eur	PROPN
ejpam-5137	160	11	.	.	PUNCT
ejpam-5137	161	1	j.	j.	PROPN
ejpam-5137	161	2	pure	pure	PROPN
ejpam-5137	161	3	appl	appl	PROPN
ejpam-5137	161	4	.	.	PROPN
ejpam-5137	161	5	math	math	PROPN
ejpam-5137	161	6	,	,	PUNCT
ejpam-5137	161	7	17	17	NUM
ejpam-5137	161	8	(	(	PUNCT
ejpam-5137	161	9	3	3	NUM
ejpam-5137	161	10	)	)	PUNCT
ejpam-5137	161	11	(	(	PUNCT
ejpam-5137	161	12	2024	2024	NUM
ejpam-5137	161	13	)	)	PUNCT
ejpam-5137	161	14	,	,	PUNCT
ejpam-5137	161	15	1674	1674	NUM
ejpam-5137	161	16	-	-	SYM
ejpam-5137	161	17	1684	1684	NUM
ejpam-5137	161	18	1682	1682	NUM
ejpam-5137	161	19	the	the	DET
ejpam-5137	161	20	two	two	NUM
ejpam-5137	161	21	solutions	solution	NOUN
ejpam-5137	161	22	to	to	ADP
ejpam-5137	161	23	the	the	DET
ejpam-5137	161	24	preceding	precede	VERB
ejpam-5137	161	25	equation	equation	NOUN
ejpam-5137	161	26	obtained	obtain	VERB
ejpam-5137	161	27	using	use	VERB
ejpam-5137	161	28	wolfram	wolfram	PROPN
ejpam-5137	161	29	alpha	alpha	PROPN
ejpam-5137	161	30	equation	equation	NOUN
ejpam-5137	161	31	solver	solver	VERB
ejpam-5137	161	32	are	be	AUX
ejpam-5137	161	33	α1	α1	PROPN
ejpam-5137	161	34	=	=	SYM
ejpam-5137	161	35	−3	−3	PROPN
ejpam-5137	161	36	7	7	NUM
ejpam-5137	161	37	(	(	PUNCT
ejpam-5137	161	38	3	3	NUM
ejpam-5137	161	39	+	+	CCONJ
ejpam-5137	161	40	√	√	NUM
ejpam-5137	161	41	2	2	NUM
ejpam-5137	161	42	)	)	PUNCT
ejpam-5137	161	43	,	,	PUNCT
ejpam-5137	161	44	and	and	CCONJ
ejpam-5137	161	45	α1	α1	PROPN
ejpam-5137	161	46	=	=	SYM
ejpam-5137	161	47	3	3	NUM
ejpam-5137	161	48	7	7	NUM
ejpam-5137	161	49	(	(	PUNCT
ejpam-5137	161	50	√	√	NUM
ejpam-5137	161	51	2−	2−	NUM
ejpam-5137	161	52	3	3	NUM
ejpam-5137	161	53	)	)	PUNCT
ejpam-5137	161	54	.	.	PUNCT
ejpam-5137	162	1	the	the	DET
ejpam-5137	162	2	second	second	ADJ
ejpam-5137	162	3	value	value	NOUN
ejpam-5137	162	4	for	for	ADP
ejpam-5137	162	5	α1	α1	PROPN
ejpam-5137	162	6	will	will	AUX
ejpam-5137	162	7	give	give	VERB
ejpam-5137	162	8	the	the	DET
ejpam-5137	162	9	desired	desire	VERB
ejpam-5137	162	10	probability	probability	NOUN
ejpam-5137	162	11	function	function	NOUN
ejpam-5137	162	12	.	.	PUNCT
ejpam-5137	163	1	in	in	ADP
ejpam-5137	163	2	particular	particular	ADJ
ejpam-5137	163	3	,	,	PUNCT
ejpam-5137	163	4	for	for	ADP
ejpam-5137	163	5	n	n	NOUN
ejpam-5137	163	6	=	=	SYM
ejpam-5137	163	7	1	1	NUM
ejpam-5137	163	8	,	,	PUNCT
ejpam-5137	163	9	2	2	NUM
ejpam-5137	163	10	,	,	PUNCT
ejpam-5137	163	11	3	3	NUM
ejpam-5137	163	12	,	,	PUNCT
ejpam-5137	163	13	4	4	NUM
ejpam-5137	163	14	,	,	PUNCT
ejpam-5137	163	15	5	5	NUM
ejpam-5137	163	16	the	the	DET
ejpam-5137	163	17	values	value	NOUN
ejpam-5137	163	18	of	of	ADP
ejpam-5137	163	19	the	the	DET
ejpam-5137	163	20	probability	probability	NOUN
ejpam-5137	163	21	function	function	NOUN
ejpam-5137	163	22	are	be	AUX
ejpam-5137	163	23	:	:	PUNCT
ejpam-5137	163	24	π(1	π(1	NOUN
ejpam-5137	163	25	,	,	PUNCT
ejpam-5137	163	26	2/3	2/3	NUM
ejpam-5137	163	27	)	)	PUNCT
ejpam-5137	163	28	=	=	SYM
ejpam-5137	163	29	0.527	0.527	NUM
ejpam-5137	163	30	,	,	PUNCT
ejpam-5137	163	31	π(1	π(1	NOUN
ejpam-5137	163	32	,	,	PUNCT
ejpam-5137	163	33	2/3	2/3	NUM
ejpam-5137	163	34	)	)	PUNCT
ejpam-5137	163	35	=	=	SYM
ejpam-5137	163	36	0.28571	0.28571	NUM
ejpam-5137	163	37	,	,	PUNCT
ejpam-5137	163	38	π(3	π(3	NOUN
ejpam-5137	163	39	,	,	PUNCT
ejpam-5137	163	40	2/3	2/3	NUM
ejpam-5137	163	41	)	)	PUNCT
ejpam-5137	163	42	=	=	SYM
ejpam-5137	163	43	0.132	0.132	NUM
ejpam-5137	163	44	,	,	PUNCT
ejpam-5137	163	45	π(4	π(4	PROPN
ejpam-5137	163	46	,	,	PUNCT
ejpam-5137	163	47	2/3	2/3	NUM
ejpam-5137	163	48	)	)	PUNCT
ejpam-5137	163	49	=	=	SYM
ejpam-5137	163	50	0.048	0.048	NUM
ejpam-5137	163	51	,	,	PUNCT
ejpam-5137	163	52	π(5	π(5	PROPN
ejpam-5137	163	53	,	,	PUNCT
ejpam-5137	163	54	2/3	2/3	NUM
ejpam-5137	163	55	)	)	PUNCT
ejpam-5137	163	56	=	=	SYM
ejpam-5137	164	1	0.0094	0.0094	NUM
ejpam-5137	164	2	.	.	PUNCT
ejpam-5137	164	3	remark	remark	NOUN
ejpam-5137	164	4	4.1	4.1	NUM
ejpam-5137	164	5	.	.	PUNCT
ejpam-5137	165	1	owing	owe	VERB
ejpam-5137	165	2	to	to	ADP
ejpam-5137	165	3	the	the	DET
ejpam-5137	165	4	complexity	complexity	NOUN
ejpam-5137	165	5	of	of	ADP
ejpam-5137	165	6	(	(	PUNCT
ejpam-5137	165	7	26	26	NUM
ejpam-5137	165	8	)	)	PUNCT
ejpam-5137	165	9	no	no	DET
ejpam-5137	165	10	example	example	NOUN
ejpam-5137	165	11	will	will	AUX
ejpam-5137	165	12	be	be	AUX
ejpam-5137	165	13	provided	provide	VERB
ejpam-5137	165	14	for	for	ADP
ejpam-5137	165	15	the	the	DET
ejpam-5137	165	16	generalized	generalized	ADJ
ejpam-5137	165	17	ecosystem	ecosystem	NOUN
ejpam-5137	165	18	structure	structure	NOUN
ejpam-5137	165	19	function	function	NOUN
ejpam-5137	165	20	.	.	PUNCT
ejpam-5137	166	1	5	5	X
ejpam-5137	166	2	.	.	X
ejpam-5137	166	3	conclusion	conclusion	NOUN
ejpam-5137	166	4	and	and	CCONJ
ejpam-5137	166	5	recommendation	recommendation	NOUN
ejpam-5137	166	6	this	this	DET
ejpam-5137	166	7	paper	paper	NOUN
ejpam-5137	166	8	has	have	AUX
ejpam-5137	166	9	delved	delve	VERB
ejpam-5137	166	10	into	into	ADP
ejpam-5137	166	11	the	the	DET
ejpam-5137	166	12	theoretical	theoretical	ADJ
ejpam-5137	166	13	framework	framework	NOUN
ejpam-5137	166	14	of	of	ADP
ejpam-5137	166	15	mete	mete	ADJ
ejpam-5137	166	16	,	,	PUNCT
ejpam-5137	166	17	specifically	specifically	ADV
ejpam-5137	166	18	focusing	focus	VERB
ejpam-5137	166	19	on	on	ADP
ejpam-5137	166	20	the	the	DET
ejpam-5137	166	21	development	development	NOUN
ejpam-5137	166	22	of	of	ADP
ejpam-5137	166	23	q	q	NOUN
ejpam-5137	166	24	-	-	NOUN
ejpam-5137	166	25	generalizations	generalization	NOUN
ejpam-5137	166	26	for	for	ADP
ejpam-5137	166	27	its	its	PRON
ejpam-5137	166	28	two	two	NUM
ejpam-5137	166	29	core	core	NOUN
ejpam-5137	166	30	functions	function	NOUN
ejpam-5137	166	31	.	.	PUNCT
ejpam-5137	167	1	mete	mete	ADJ
ejpam-5137	167	2	,	,	PUNCT
ejpam-5137	167	3	or	or	CCONJ
ejpam-5137	167	4	the	the	DET
ejpam-5137	167	5	maximum	maximum	PROPN
ejpam-5137	167	6	entropy	entropy	PROPN
ejpam-5137	167	7	theory	theory	NOUN
ejpam-5137	167	8	of	of	ADP
ejpam-5137	167	9	ecology	ecology	NOUN
ejpam-5137	167	10	,	,	PUNCT
ejpam-5137	167	11	is	be	AUX
ejpam-5137	167	12	a	a	DET
ejpam-5137	167	13	fundamental	fundamental	ADJ
ejpam-5137	167	14	framework	framework	NOUN
ejpam-5137	167	15	used	use	VERB
ejpam-5137	167	16	to	to	PART
ejpam-5137	167	17	understand	understand	VERB
ejpam-5137	167	18	the	the	DET
ejpam-5137	167	19	structure	structure	NOUN
ejpam-5137	167	20	and	and	CCONJ
ejpam-5137	167	21	dynamics	dynamic	NOUN
ejpam-5137	167	22	of	of	ADP
ejpam-5137	167	23	ecological	ecological	ADJ
ejpam-5137	167	24	systems	system	NOUN
ejpam-5137	167	25	.	.	PUNCT
ejpam-5137	168	1	by	by	ADP
ejpam-5137	168	2	introducing	introduce	VERB
ejpam-5137	168	3	q	q	NOUN
ejpam-5137	168	4	-	-	PUNCT
ejpam-5137	168	5	generalizations	generalization	NOUN
ejpam-5137	168	6	,	,	PUNCT
ejpam-5137	168	7	the	the	DET
ejpam-5137	168	8	paper	paper	NOUN
ejpam-5137	168	9	extends	extend	VERB
ejpam-5137	168	10	the	the	DET
ejpam-5137	168	11	applicability	applicability	NOUN
ejpam-5137	168	12	of	of	ADP
ejpam-5137	168	13	mete	mete	ADJ
ejpam-5137	168	14	to	to	ADP
ejpam-5137	168	15	systems	system	NOUN
ejpam-5137	168	16	exhibiting	exhibit	VERB
ejpam-5137	168	17	non	non	ADJ
ejpam-5137	168	18	-	-	ADJ
ejpam-5137	168	19	trivial	trivial	ADJ
ejpam-5137	168	20	behavior	behavior	NOUN
ejpam-5137	168	21	,	,	PUNCT
ejpam-5137	168	22	potentially	potentially	ADV
ejpam-5137	168	23	offering	offer	VERB
ejpam-5137	168	24	deeper	deep	ADJ
ejpam-5137	168	25	insights	insight	NOUN
ejpam-5137	168	26	into	into	ADP
ejpam-5137	168	27	ecological	ecological	ADJ
ejpam-5137	168	28	patterns	pattern	NOUN
ejpam-5137	168	29	and	and	CCONJ
ejpam-5137	168	30	processes	process	NOUN
ejpam-5137	168	31	.	.	PUNCT
ejpam-5137	169	1	in	in	ADP
ejpam-5137	169	2	the	the	DET
ejpam-5137	169	3	context	context	NOUN
ejpam-5137	169	4	of	of	ADP
ejpam-5137	169	5	this	this	DET
ejpam-5137	169	6	study	study	NOUN
ejpam-5137	169	7	,	,	PUNCT
ejpam-5137	169	8	the	the	DET
ejpam-5137	169	9	q	q	NOUN
ejpam-5137	169	10	-	-	PUNCT
ejpam-5137	169	11	generalizations	generalization	NOUN
ejpam-5137	169	12	were	be	AUX
ejpam-5137	169	13	elucidated	elucidate	VERB
ejpam-5137	169	14	with	with	ADP
ejpam-5137	169	15	regards	regard	NOUN
ejpam-5137	169	16	to	to	ADP
ejpam-5137	169	17	the	the	DET
ejpam-5137	169	18	spatial	spatial	ADJ
ejpam-5137	169	19	structure	structure	NOUN
ejpam-5137	169	20	function	function	NOUN
ejpam-5137	169	21	,	,	PUNCT
ejpam-5137	169	22	which	which	PRON
ejpam-5137	169	23	plays	play	VERB
ejpam-5137	169	24	a	a	DET
ejpam-5137	169	25	crucial	crucial	ADJ
ejpam-5137	169	26	role	role	NOUN
ejpam-5137	169	27	in	in	ADP
ejpam-5137	169	28	characterizing	characterize	VERB
ejpam-5137	169	29	the	the	DET
ejpam-5137	169	30	spatial	spatial	ADJ
ejpam-5137	169	31	distribution	distribution	NOUN
ejpam-5137	169	32	of	of	ADP
ejpam-5137	169	33	species	specie	NOUN
ejpam-5137	169	34	within	within	ADP
ejpam-5137	169	35	an	an	DET
ejpam-5137	169	36	ecosystem	ecosystem	NOUN
ejpam-5137	169	37	.	.	PUNCT
ejpam-5137	170	1	through	through	ADP
ejpam-5137	170	2	illustrative	illustrative	ADJ
ejpam-5137	170	3	examples	example	NOUN
ejpam-5137	170	4	,	,	PUNCT
ejpam-5137	170	5	the	the	DET
ejpam-5137	170	6	paper	paper	NOUN
ejpam-5137	170	7	provided	provide	VERB
ejpam-5137	170	8	sample	sample	NOUN
ejpam-5137	170	9	probability	probability	NOUN
ejpam-5137	170	10	functions	function	NOUN
ejpam-5137	170	11	for	for	ADP
ejpam-5137	170	12	the	the	DET
ejpam-5137	170	13	q	q	ADJ
ejpam-5137	170	14	-	-	ADJ
ejpam-5137	170	15	spatial	spatial	ADJ
ejpam-5137	170	16	structure	structure	NOUN
ejpam-5137	170	17	function	function	NOUN
ejpam-5137	170	18	,	,	PUNCT
ejpam-5137	170	19	showcasing	showcase	VERB
ejpam-5137	170	20	how	how	SCONJ
ejpam-5137	170	21	these	these	DET
ejpam-5137	170	22	generalized	generalized	ADJ
ejpam-5137	170	23	formulations	formulation	NOUN
ejpam-5137	170	24	can	can	AUX
ejpam-5137	170	25	be	be	AUX
ejpam-5137	170	26	applied	apply	VERB
ejpam-5137	170	27	in	in	ADP
ejpam-5137	170	28	practical	practical	ADJ
ejpam-5137	170	29	scenarios	scenario	NOUN
ejpam-5137	170	30	.	.	PUNCT
ejpam-5137	171	1	however	however	ADV
ejpam-5137	171	2	,	,	PUNCT
ejpam-5137	171	3	a	a	DET
ejpam-5137	171	4	notable	notable	ADJ
ejpam-5137	171	5	gap	gap	NOUN
ejpam-5137	171	6	exists	exist	VERB
ejpam-5137	171	7	in	in	ADP
ejpam-5137	171	8	the	the	DET
ejpam-5137	171	9	paper	paper	NOUN
ejpam-5137	171	10	’s	’s	PART
ejpam-5137	171	11	treatment	treatment	NOUN
ejpam-5137	171	12	of	of	ADP
ejpam-5137	171	13	the	the	DET
ejpam-5137	171	14	q	q	ADJ
ejpam-5137	171	15	-	-	PUNCT
ejpam-5137	171	16	ecosystem	ecosystem	NOUN
ejpam-5137	171	17	structure	structure	NOUN
ejpam-5137	171	18	function	function	NOUN
ejpam-5137	171	19	.	.	PUNCT
ejpam-5137	172	1	despite	despite	SCONJ
ejpam-5137	172	2	the	the	DET
ejpam-5137	172	3	detailed	detailed	ADJ
ejpam-5137	172	4	exploration	exploration	NOUN
ejpam-5137	172	5	of	of	ADP
ejpam-5137	172	6	the	the	DET
ejpam-5137	172	7	q	q	ADJ
ejpam-5137	172	8	-	-	ADJ
ejpam-5137	172	9	spatial	spatial	ADJ
ejpam-5137	172	10	structure	structure	NOUN
ejpam-5137	172	11	function	function	NOUN
ejpam-5137	172	12	,	,	PUNCT
ejpam-5137	172	13	no	no	DET
ejpam-5137	172	14	corresponding	corresponding	ADJ
ejpam-5137	172	15	example	example	NOUN
ejpam-5137	172	16	was	be	AUX
ejpam-5137	172	17	provided	provide	VERB
ejpam-5137	172	18	for	for	ADP
ejpam-5137	172	19	the	the	DET
ejpam-5137	172	20	q	q	ADJ
ejpam-5137	172	21	-	-	PUNCT
ejpam-5137	172	22	ecosystem	ecosystem	NOUN
ejpam-5137	172	23	structure	structure	NOUN
ejpam-5137	172	24	function	function	NOUN
ejpam-5137	172	25	.	.	PUNCT
ejpam-5137	173	1	this	this	DET
ejpam-5137	173	2	omission	omission	NOUN
ejpam-5137	173	3	leaves	leave	VERB
ejpam-5137	173	4	a	a	DET
ejpam-5137	173	5	significant	significant	ADJ
ejpam-5137	173	6	aspect	aspect	NOUN
ejpam-5137	173	7	of	of	ADP
ejpam-5137	173	8	mete	mete	ADJ
ejpam-5137	173	9	unaddressed	unaddresse	VERB
ejpam-5137	173	10	,	,	PUNCT
ejpam-5137	173	11	limiting	limit	VERB
ejpam-5137	173	12	the	the	DET
ejpam-5137	173	13	comprehensiveness	comprehensiveness	NOUN
ejpam-5137	173	14	of	of	ADP
ejpam-5137	173	15	the	the	DET
ejpam-5137	173	16	study	study	NOUN
ejpam-5137	173	17	.	.	PUNCT
ejpam-5137	174	1	furthermore	furthermore	ADV
ejpam-5137	174	2	,	,	PUNCT
ejpam-5137	174	3	the	the	DET
ejpam-5137	174	4	paper	paper	NOUN
ejpam-5137	174	5	did	do	AUX
ejpam-5137	174	6	not	not	PART
ejpam-5137	174	7	extend	extend	VERB
ejpam-5137	174	8	its	its	PRON
ejpam-5137	174	9	analysis	analysis	NOUN
ejpam-5137	174	10	to	to	PART
ejpam-5137	174	11	encompass	encompass	VERB
ejpam-5137	174	12	physical	physical	ADJ
ejpam-5137	174	13	applications	application	NOUN
ejpam-5137	174	14	of	of	ADP
ejpam-5137	174	15	the	the	DET
ejpam-5137	174	16	derived	derive	VERB
ejpam-5137	174	17	generalized	generalize	VERB
ejpam-5137	174	18	functions	function	NOUN
ejpam-5137	174	19	.	.	PUNCT
ejpam-5137	175	1	while	while	SCONJ
ejpam-5137	175	2	theoretical	theoretical	ADJ
ejpam-5137	175	3	developments	development	NOUN
ejpam-5137	175	4	are	be	AUX
ejpam-5137	175	5	valuable	valuable	ADJ
ejpam-5137	175	6	,	,	PUNCT
ejpam-5137	175	7	their	their	PRON
ejpam-5137	175	8	utility	utility	NOUN
ejpam-5137	175	9	often	often	ADV
ejpam-5137	175	10	lies	lie	VERB
ejpam-5137	175	11	in	in	ADP
ejpam-5137	175	12	their	their	PRON
ejpam-5137	175	13	practical	practical	ADJ
ejpam-5137	175	14	applicability	applicability	NOUN
ejpam-5137	175	15	.	.	PUNCT
ejpam-5137	176	1	by	by	ADP
ejpam-5137	176	2	demonstrating	demonstrate	VERB
ejpam-5137	176	3	how	how	SCONJ
ejpam-5137	176	4	these	these	DET
ejpam-5137	176	5	q	q	NOUN
ejpam-5137	176	6	-	-	PUNCT
ejpam-5137	176	7	generalizations	generalization	NOUN
ejpam-5137	176	8	can	can	AUX
ejpam-5137	176	9	be	be	AUX
ejpam-5137	176	10	applied	apply	VERB
ejpam-5137	176	11	to	to	ADP
ejpam-5137	176	12	real	real	ADJ
ejpam-5137	176	13	-	-	PUNCT
ejpam-5137	176	14	world	world	NOUN
ejpam-5137	176	15	ecological	ecological	ADJ
ejpam-5137	176	16	data	datum	NOUN
ejpam-5137	176	17	or	or	CCONJ
ejpam-5137	176	18	modeling	model	VERB
ejpam-5137	176	19	scenarios	scenario	NOUN
ejpam-5137	176	20	,	,	PUNCT
ejpam-5137	176	21	researchers	researcher	NOUN
ejpam-5137	176	22	can	can	AUX
ejpam-5137	176	23	validate	validate	VERB
ejpam-5137	176	24	their	their	PRON
ejpam-5137	176	25	effectiveness	effectiveness	NOUN
ejpam-5137	176	26	and	and	CCONJ
ejpam-5137	176	27	enhance	enhance	VERB
ejpam-5137	176	28	their	their	PRON
ejpam-5137	176	29	relevance	relevance	NOUN
ejpam-5137	176	30	to	to	ADP
ejpam-5137	176	31	ecological	ecological	ADJ
ejpam-5137	176	32	studies	study	NOUN
ejpam-5137	176	33	.	.	PUNCT
ejpam-5137	177	1	in	in	ADP
ejpam-5137	177	2	light	light	NOUN
ejpam-5137	177	3	of	of	ADP
ejpam-5137	177	4	these	these	DET
ejpam-5137	177	5	considerations	consideration	NOUN
ejpam-5137	177	6	,	,	PUNCT
ejpam-5137	177	7	it	it	PRON
ejpam-5137	177	8	is	be	AUX
ejpam-5137	177	9	recommended	recommend	VERB
ejpam-5137	177	10	that	that	SCONJ
ejpam-5137	177	11	future	future	ADJ
ejpam-5137	177	12	research	research	NOUN
ejpam-5137	177	13	endeavors	endeavor	NOUN
ejpam-5137	177	14	focus	focus	VERB
ejpam-5137	177	15	on	on	ADP
ejpam-5137	177	16	bridging	bridge	VERB
ejpam-5137	177	17	these	these	DET
ejpam-5137	177	18	gaps	gap	NOUN
ejpam-5137	177	19	.	.	PUNCT
ejpam-5137	178	1	specifically	specifically	ADV
ejpam-5137	178	2	,	,	PUNCT
ejpam-5137	178	3	efforts	effort	NOUN
ejpam-5137	178	4	should	should	AUX
ejpam-5137	178	5	be	be	AUX
ejpam-5137	178	6	directed	direct	VERB
ejpam-5137	178	7	towards	towards	ADP
ejpam-5137	178	8	exploring	explore	VERB
ejpam-5137	178	9	sample	sample	NOUN
ejpam-5137	178	10	probability	probability	NOUN
ejpam-5137	178	11	functions	function	NOUN
ejpam-5137	178	12	for	for	ADP
ejpam-5137	178	13	the	the	DET
ejpam-5137	178	14	q	q	ADJ
ejpam-5137	178	15	-	-	PUNCT
ejpam-5137	178	16	ecosystem	ecosystem	NOUN
ejpam-5137	178	17	structure	structure	NOUN
ejpam-5137	178	18	function	function	NOUN
ejpam-5137	178	19	,	,	PUNCT
ejpam-5137	178	20	thereby	thereby	ADV
ejpam-5137	178	21	completing	complete	VERB
ejpam-5137	178	22	the	the	DET
ejpam-5137	178	23	theoretical	theoretical	ADJ
ejpam-5137	178	24	framework	framework	NOUN
ejpam-5137	178	25	.	.	PUNCT
ejpam-5137	179	1	additionally	additionally	ADV
ejpam-5137	179	2	,	,	PUNCT
ejpam-5137	179	3	researchers	researcher	NOUN
ejpam-5137	179	4	should	should	AUX
ejpam-5137	179	5	actively	actively	ADV
ejpam-5137	179	6	seek	seek	VERB
ejpam-5137	179	7	out	out	ADP
ejpam-5137	179	8	opportunities	opportunity	NOUN
ejpam-5137	179	9	to	to	PART
ejpam-5137	179	10	apply	apply	VERB
ejpam-5137	179	11	these	these	DET
ejpam-5137	179	12	generalized	generalize	VERB
ejpam-5137	179	13	functions	function	NOUN
ejpam-5137	179	14	in	in	ADP
ejpam-5137	179	15	physical	physical	ADJ
ejpam-5137	179	16	contexts	context	NOUN
ejpam-5137	179	17	,	,	PUNCT
ejpam-5137	179	18	such	such	ADJ
ejpam-5137	179	19	as	as	ADP
ejpam-5137	179	20	ecological	ecological	ADJ
ejpam-5137	179	21	modeling	modeling	NOUN
ejpam-5137	179	22	or	or	CCONJ
ejpam-5137	179	23	data	datum	NOUN
ejpam-5137	179	24	analysis	analysis	NOUN
ejpam-5137	179	25	.	.	PUNCT
ejpam-5137	180	1	by	by	ADP
ejpam-5137	180	2	doing	do	VERB
ejpam-5137	180	3	so	so	ADV
ejpam-5137	180	4	,	,	PUNCT
ejpam-5137	180	5	we	we	PRON
ejpam-5137	180	6	can	can	AUX
ejpam-5137	180	7	advance	advance	VERB
ejpam-5137	180	8	our	our	PRON
ejpam-5137	180	9	understanding	understanding	NOUN
ejpam-5137	180	10	of	of	ADP
ejpam-5137	180	11	mete	mete	ADJ
ejpam-5137	180	12	and	and	CCONJ
ejpam-5137	180	13	its	its	PRON
ejpam-5137	180	14	relevance	relevance	NOUN
ejpam-5137	180	15	to	to	ADP
ejpam-5137	180	16	the	the	DET
ejpam-5137	180	17	study	study	NOUN
ejpam-5137	180	18	and	and	CCONJ
ejpam-5137	180	19	management	management	NOUN
ejpam-5137	180	20	of	of	ADP
ejpam-5137	180	21	ecological	ecological	ADJ
ejpam-5137	180	22	systems	system	NOUN
ejpam-5137	180	23	.	.	PUNCT
ejpam-5137	181	1	references	reference	NOUN
ejpam-5137	181	2	1683	1683	NUM
ejpam-5137	181	3	acknowledgements	acknowledgement	NOUN
ejpam-5137	181	4	the	the	DET
ejpam-5137	181	5	authors	author	NOUN
ejpam-5137	181	6	would	would	AUX
ejpam-5137	181	7	also	also	ADV
ejpam-5137	181	8	like	like	VERB
ejpam-5137	181	9	to	to	PART
ejpam-5137	181	10	thank	thank	VERB
ejpam-5137	181	11	cebu	cebu	NOUN
ejpam-5137	181	12	normal	normal	ADJ
ejpam-5137	181	13	university	university	NOUN
ejpam-5137	181	14	(	(	PUNCT
ejpam-5137	181	15	cnu	cnu	PROPN
ejpam-5137	181	16	)	)	PUNCT
ejpam-5137	181	17	for	for	ADP
ejpam-5137	181	18	funding	fund	VERB
ejpam-5137	181	19	this	this	DET
ejpam-5137	181	20	research	research	NOUN
ejpam-5137	181	21	project	project	NOUN
ejpam-5137	181	22	through	through	ADP
ejpam-5137	181	23	the	the	DET
ejpam-5137	181	24	office	office	NOUN
ejpam-5137	181	25	for	for	ADP
ejpam-5137	181	26	research	research	NOUN
ejpam-5137	181	27	,	,	PUNCT
ejpam-5137	181	28	development	development	NOUN
ejpam-5137	181	29	and	and	CCONJ
ejpam-5137	181	30	publication	publication	NOUN
ejpam-5137	181	31	(	(	PUNCT
ejpam-5137	181	32	rdp	rdp	PROPN
ejpam-5137	181	33	)	)	PUNCT
ejpam-5137	181	34	.	.	PUNCT
ejpam-5137	182	1	references	reference	NOUN
ejpam-5137	182	2	[	[	X
ejpam-5137	182	3	1	1	NUM
ejpam-5137	182	4	]	]	PUNCT
ejpam-5137	182	5	a.	a.	NOUN
ejpam-5137	182	6	brummer	brummer	NOUN
ejpam-5137	182	7	and	and	CCONJ
ejpam-5137	182	8	e.	e.	PROPN
ejpam-5137	182	9	newman	newman	PROPN
ejpam-5137	182	10	.	.	PUNCT
ejpam-5137	183	1	derivations	derivation	NOUN
ejpam-5137	183	2	of	of	ADP
ejpam-5137	183	3	the	the	DET
ejpam-5137	183	4	core	core	NOUN
ejpam-5137	183	5	functions	function	NOUN
ejpam-5137	183	6	of	of	ADP
ejpam-5137	183	7	the	the	DET
ejpam-5137	183	8	maximum	maximum	PROPN
ejpam-5137	183	9	entropy	entropy	PROPN
ejpam-5137	183	10	theory	theory	NOUN
ejpam-5137	183	11	of	of	ADP
ejpam-5137	183	12	ecology	ecology	NOUN
ejpam-5137	183	13	.	.	PUNCT
ejpam-5137	184	1	entropy	entropy	PROPN
ejpam-5137	184	2	,	,	PUNCT
ejpam-5137	184	3	21:712	21:712	NUM
ejpam-5137	184	4	,	,	PUNCT
ejpam-5137	184	5	2019	2019	NUM
ejpam-5137	184	6	.	.	PUNCT
ejpam-5137	185	1	[	[	X
ejpam-5137	185	2	2	2	X
ejpam-5137	185	3	]	]	PUNCT
ejpam-5137	185	4	t.	t.	PROPN
ejpam-5137	185	5	clegg	clegg	PROPN
ejpam-5137	185	6	,	,	PUNCT
ejpam-5137	185	7	m.	m.	PROPN
ejpam-5137	185	8	ali	ali	PROPN
ejpam-5137	185	9	,	,	PUNCT
ejpam-5137	185	10	and	and	CCONJ
ejpam-5137	185	11	a.p	a.p	PROPN
ejpam-5137	185	12	.	.	PROPN
ejpam-5137	185	13	beckerman	beckerman	PROPN
ejpam-5137	185	14	.	.	PUNCT
ejpam-5137	186	1	the	the	DET
ejpam-5137	186	2	impact	impact	NOUN
ejpam-5137	186	3	of	of	ADP
ejpam-5137	186	4	intraspecific	intraspecific	NOUN
ejpam-5137	186	5	variation	variation	NOUN
ejpam-5137	186	6	on	on	ADP
ejpam-5137	186	7	food	food	NOUN
ejpam-5137	186	8	web	web	NOUN
ejpam-5137	186	9	structure	structure	NOUN
ejpam-5137	186	10	.	.	PUNCT
ejpam-5137	187	1	ecology	ecology	NOUN
ejpam-5137	187	2	,	,	PUNCT
ejpam-5137	187	3	99(12):2712–2720	99(12):2712–2720	PROPN
ejpam-5137	187	4	,	,	PUNCT
ejpam-5137	187	5	2018	2018	NUM
ejpam-5137	187	6	.	.	PUNCT
ejpam-5137	188	1	[	[	X
ejpam-5137	188	2	3	3	X
ejpam-5137	188	3	]	]	PUNCT
ejpam-5137	188	4	s.	s.	PROPN
ejpam-5137	188	5	furuichi	furuichi	PROPN
ejpam-5137	188	6	.	.	PUNCT
ejpam-5137	189	1	on	on	ADP
ejpam-5137	189	2	the	the	DET
ejpam-5137	189	3	maximum	maximum	PROPN
ejpam-5137	189	4	entropy	entropy	NOUN
ejpam-5137	189	5	principle	principle	NOUN
ejpam-5137	189	6	and	and	CCONJ
ejpam-5137	189	7	the	the	DET
ejpam-5137	189	8	minimization	minimization	NOUN
ejpam-5137	189	9	of	of	ADP
ejpam-5137	189	10	the	the	DET
ejpam-5137	189	11	fisher	fisher	PROPN
ejpam-5137	189	12	information	information	NOUN
ejpam-5137	189	13	in	in	ADP
ejpam-5137	189	14	tsallis	tsallis	PROPN
ejpam-5137	189	15	statistics	statistics	PROPN
ejpam-5137	189	16	.	.	PUNCT
ejpam-5137	190	1	arxiv	arxiv	PROPN
ejpam-5137	190	2	,	,	PUNCT
ejpam-5137	190	3	1001.1383v1	1001.1383v1	PROPN
ejpam-5137	190	4	,	,	PUNCT
ejpam-5137	190	5	2010	2010	NUM
ejpam-5137	190	6	.	.	PUNCT
ejpam-5137	191	1	[	[	X
ejpam-5137	191	2	4	4	NUM
ejpam-5137	191	3	]	]	X
ejpam-5137	191	4	w.m	w.m	X
ejpam-5137	191	5	.	.	PROPN
ejpam-5137	191	6	getz	getz	PROPN
ejpam-5137	191	7	,	,	PUNCT
ejpam-5137	191	8	c.r	c.r	PROPN
ejpam-5137	191	9	.	.	PROPN
ejpam-5137	191	10	marshall	marshall	PROPN
ejpam-5137	191	11	,	,	PUNCT
ejpam-5137	191	12	c.j	c.j	PROPN
ejpam-5137	191	13	.	.	PROPN
ejpam-5137	191	14	carlson	carlson	PROPN
ejpam-5137	191	15	,	,	PUNCT
ejpam-5137	191	16	l.	l.	PROPN
ejpam-5137	191	17	giuggioli	giuggioli	PROPN
ejpam-5137	191	18	,	,	PUNCT
ejpam-5137	191	19	s.j	s.j	PROPN
ejpam-5137	191	20	.	.	PROPN
ejpam-5137	191	21	ryan	ryan	PROPN
ejpam-5137	191	22	,	,	PUNCT
ejpam-5137	191	23	s.s	s.s	PROPN
ejpam-5137	191	24	.	.	PROPN
ejpam-5137	191	25	romaã±ach	romaã±ach	PROPN
ejpam-5137	191	26	,	,	PUNCT
ejpam-5137	191	27	c.	c.	PROPN
ejpam-5137	191	28	boettiger	boettiger	PROPN
ejpam-5137	191	29	,	,	PUNCT
ejpam-5137	192	1	s.d	s.d	PROPN
ejpam-5137	192	2	.	.	PUNCT
ejpam-5137	192	3	chamberlain	chamberlain	PROPN
ejpam-5137	192	4	,	,	PUNCT
ejpam-5137	192	5	l.	l.	PROPN
ejpam-5137	192	6	larsen	larsen	PROPN
ejpam-5137	192	7	,	,	PUNCT
ejpam-5137	192	8	p.	p.	NOUN
ejpam-5137	192	9	dâodorico	dâodorico	PROPN
ejpam-5137	192	10	,	,	PUNCT
ejpam-5137	192	11	and	and	CCONJ
ejpam-5137	192	12	d.o	d.o	PROPN
ejpam-5137	192	13	.	.	PROPN
ejpam-5137	192	14	sullivan	sullivan	PROPN
ejpam-5137	192	15	.	.	PUNCT
ejpam-5137	193	1	making	make	VERB
ejpam-5137	193	2	ecological	ecological	ADJ
ejpam-5137	193	3	models	model	NOUN
ejpam-5137	193	4	adequate	adequate	ADJ
ejpam-5137	193	5	.	.	PUNCT
ejpam-5137	194	1	ecology	ecology	NOUN
ejpam-5137	194	2	letters	letter	NOUN
ejpam-5137	194	3	,	,	PUNCT
ejpam-5137	194	4	21(2):153–166	21(2):153–166	NUM
ejpam-5137	194	5	,	,	PUNCT
ejpam-5137	194	6	2018	2018	NUM
ejpam-5137	194	7	.	.	PUNCT
ejpam-5137	195	1	[	[	X
ejpam-5137	195	2	5	5	X
ejpam-5137	195	3	]	]	PUNCT
ejpam-5137	195	4	j.	j.	PROPN
ejpam-5137	195	5	gonzalez	gonzalez	PROPN
ejpam-5137	195	6	,	,	PUNCT
ejpam-5137	195	7	e.	e.	PROPN
ejpam-5137	195	8	de	de	PROPN
ejpam-5137	195	9	faria	faria	PROPN
ejpam-5137	195	10	,	,	PUNCT
ejpam-5137	195	11	m.p	m.p	PROPN
ejpam-5137	195	12	.	.	PROPN
ejpam-5137	195	13	albuquerque	albuquerque	PROPN
ejpam-5137	195	14	,	,	PUNCT
ejpam-5137	195	15	and	and	CCONJ
ejpam-5137	195	16	m.p	m.p	PROPN
ejpam-5137	195	17	.	.	PROPN
ejpam-5137	195	18	albuquerque	albuquerque	PROPN
ejpam-5137	195	19	.	.	PUNCT
ejpam-5137	196	1	nonadditive	nonadditive	PROPN
ejpam-5137	196	2	tsallis	tsallis	PROPN
ejpam-5137	196	3	entropy	entropy	PROPN
ejpam-5137	196	4	applied	apply	VERB
ejpam-5137	196	5	to	to	ADP
ejpam-5137	196	6	earth	earth	NOUN
ejpam-5137	196	7	’s	’s	PART
ejpam-5137	196	8	climate	climate	NOUN
ejpam-5137	196	9	.	.	PUNCT
ejpam-5137	197	1	physica	physica	PROPN
ejpam-5137	197	2	a	a	PRON
ejpam-5137	197	3	,	,	PUNCT
ejpam-5137	197	4	390:587–594	390:587–594	NUM
ejpam-5137	197	5	.	.	PUNCT
ejpam-5137	197	6	,	,	PUNCT
ejpam-5137	197	7	2011	2011	NUM
ejpam-5137	197	8	.	.	PUNCT
ejpam-5137	198	1	[	[	X
ejpam-5137	198	2	6	6	NUM
ejpam-5137	198	3	]	]	PUNCT
ejpam-5137	198	4	j.	j.	PROPN
ejpam-5137	198	5	harte	harte	PROPN
ejpam-5137	198	6	and	and	CCONJ
ejpam-5137	198	7	e.a	e.a	PROPN
ejpam-5137	198	8	.	.	PROPN
ejpam-5137	198	9	newman	newman	PROPN
ejpam-5137	198	10	.	.	PUNCT
ejpam-5137	199	1	maximum	maximum	PROPN
ejpam-5137	199	2	information	information	NOUN
ejpam-5137	199	3	entropy	entropy	PROPN
ejpam-5137	199	4	:	:	PUNCT
ejpam-5137	199	5	a	a	DET
ejpam-5137	199	6	foundation	foundation	NOUN
ejpam-5137	199	7	for	for	ADP
ejpam-5137	199	8	ecological	ecological	ADJ
ejpam-5137	199	9	theory	theory	NOUN
ejpam-5137	199	10	.	.	PUNCT
ejpam-5137	200	1	trends	trend	NOUN
ejpam-5137	200	2	in	in	ADP
ejpam-5137	200	3	ecology	ecology	NOUN
ejpam-5137	200	4	and	and	CCONJ
ejpam-5137	200	5	evolution	evolution	NOUN
ejpam-5137	200	6	,	,	PUNCT
ejpam-5137	200	7	29(7):384–389	29(7):384–389	NOUN
ejpam-5137	200	8	,	,	PUNCT
ejpam-5137	200	9	2014	2014	NUM
ejpam-5137	200	10	.	.	PUNCT
ejpam-5137	201	1	[	[	X
ejpam-5137	201	2	7	7	NUM
ejpam-5137	201	3	]	]	PUNCT
ejpam-5137	201	4	a.	a.	NOUN
ejpam-5137	201	5	kirwan	kirwan	PROPN
ejpam-5137	201	6	jr	jr	PROPN
ejpam-5137	201	7	.	.	PROPN
ejpam-5137	201	8	quantum	quantum	PROPN
ejpam-5137	201	9	and	and	CCONJ
ejpam-5137	201	10	ecosystem	ecosystem	NOUN
ejpam-5137	201	11	entropies	entropy	NOUN
ejpam-5137	201	12	.	.	PUNCT
ejpam-5137	201	13	entropy	entropy	PROPN
ejpam-5137	201	14	,	,	PUNCT
ejpam-5137	201	15	10:58–70	10:58–70	PROPN
ejpam-5137	201	16	,	,	PUNCT
ejpam-5137	201	17	2008	2008	NUM
ejpam-5137	201	18	.	.	PUNCT
ejpam-5137	202	1	[	[	X
ejpam-5137	202	2	8	8	X
ejpam-5137	202	3	]	]	X
ejpam-5137	202	4	e.	e.	PROPN
ejpam-5137	202	5	kaky	kaky	PROPN
ejpam-5137	202	6	,	,	PUNCT
ejpam-5137	202	7	v.	v.	PROPN
ejpam-5137	202	8	nolan	nolan	PROPN
ejpam-5137	202	9	,	,	PUNCT
ejpam-5137	202	10	a.	a.	PROPN
ejpam-5137	202	11	alatawi	alatawi	PROPN
ejpam-5137	202	12	,	,	PUNCT
ejpam-5137	202	13	and	and	CCONJ
ejpam-5137	202	14	f.	f.	PROPN
ejpam-5137	202	15	gilbert	gilbert	PROPN
ejpam-5137	202	16	.	.	PUNCT
ejpam-5137	203	1	a	a	DET
ejpam-5137	203	2	comparison	comparison	NOUN
ejpam-5137	203	3	between	between	ADP
ejpam-5137	203	4	ensemble	ensemble	ADJ
ejpam-5137	203	5	and	and	CCONJ
ejpam-5137	203	6	maxent	maxent	ADJ
ejpam-5137	203	7	species	species	NOUN
ejpam-5137	203	8	distribution	distribution	NOUN
ejpam-5137	203	9	modelling	model	VERB
ejpam-5137	203	10	approaches	approach	NOUN
ejpam-5137	203	11	for	for	ADP
ejpam-5137	203	12	conservation	conservation	NOUN
ejpam-5137	203	13	:	:	PUNCT
ejpam-5137	203	14	a	a	DET
ejpam-5137	203	15	case	case	NOUN
ejpam-5137	203	16	study	study	NOUN
ejpam-5137	203	17	with	with	ADP
ejpam-5137	203	18	egyptian	egyptian	ADJ
ejpam-5137	203	19	medicinal	medicinal	ADJ
ejpam-5137	203	20	plants	plant	NOUN
ejpam-5137	203	21	.	.	PUNCT
ejpam-5137	204	1	ecological	ecological	ADJ
ejpam-5137	204	2	informatics	informatic	NOUN
ejpam-5137	204	3	,	,	PUNCT
ejpam-5137	204	4	60:101150	60:101150	NUM
ejpam-5137	204	5	.	.	PUNCT
ejpam-5137	204	6	,	,	PUNCT
ejpam-5137	204	7	2020	2020	NUM
ejpam-5137	204	8	.	.	PUNCT
ejpam-5137	205	1	[	[	X
ejpam-5137	205	2	9	9	NUM
ejpam-5137	205	3	]	]	PUNCT
ejpam-5137	205	4	s.	s.	PROPN
ejpam-5137	205	5	martinez	martinez	PROPN
ejpam-5137	205	6	,	,	PUNCT
ejpam-5137	205	7	f.	f.	PROPN
ejpam-5137	205	8	nicolas	nicolas	PROPN
ejpam-5137	205	9	,	,	PUNCT
ejpam-5137	205	10	and	and	CCONJ
ejpam-5137	205	11	a.	a.	NOUN
ejpam-5137	205	12	plastino	plastino	PROPN
ejpam-5137	205	13	.	.	PUNCT
ejpam-5137	206	1	tsallis	tsallis	PROPN
ejpam-5137	206	2	’	'	PUNCT
ejpam-5137	206	3	entropy	entropy	PROPN
ejpam-5137	206	4	maximization	maximization	NOUN
ejpam-5137	206	5	procedure	procedure	NOUN
ejpam-5137	206	6	revisited	revisit	VERB
ejpam-5137	206	7	.	.	PUNCT
ejpam-5137	207	1	arxiv	arxiv	NOUN
ejpam-5137	207	2	:	:	PUNCT
ejpam-5137	207	3	physics	physics	NOUN
ejpam-5137	207	4	,	,	PUNCT
ejpam-5137	207	5	0003098v2	0003098v2	NOUN
ejpam-5137	207	6	,	,	PUNCT
ejpam-5137	207	7	2000	2000	NUM
ejpam-5137	207	8	.	.	PUNCT
ejpam-5137	208	1	[	[	X
ejpam-5137	208	2	10	10	NUM
ejpam-5137	208	3	]	]	X
ejpam-5137	208	4	a.	a.	NOUN
ejpam-5137	208	5	de	de	PROPN
ejpam-5137	208	6	martino	martino	PROPN
ejpam-5137	208	7	and	and	CCONJ
ejpam-5137	208	8	d.	d.	PROPN
ejpam-5137	208	9	de	de	PROPN
ejpam-5137	208	10	martino	martino	PROPN
ejpam-5137	208	11	.	.	PUNCT
ejpam-5137	209	1	an	an	DET
ejpam-5137	209	2	introduction	introduction	NOUN
ejpam-5137	209	3	to	to	ADP
ejpam-5137	209	4	the	the	DET
ejpam-5137	209	5	maximum	maximum	PROPN
ejpam-5137	209	6	entropy	entropy	NOUN
ejpam-5137	209	7	approach	approach	NOUN
ejpam-5137	209	8	and	and	CCONJ
ejpam-5137	209	9	its	its	PRON
ejpam-5137	209	10	application	application	NOUN
ejpam-5137	209	11	to	to	ADP
ejpam-5137	209	12	inference	inference	NOUN
ejpam-5137	209	13	problems	problem	NOUN
ejpam-5137	209	14	in	in	ADP
ejpam-5137	209	15	biology	biology	NOUN
ejpam-5137	209	16	.	.	PUNCT
ejpam-5137	210	1	heliyon	heliyon	PROPN
ejpam-5137	210	2	,	,	PUNCT
ejpam-5137	210	3	4(4):1	4(4):1	PROPN
ejpam-5137	210	4	,	,	PUNCT
ejpam-5137	210	5	2018	2018	NUM
ejpam-5137	210	6	.	.	PUNCT
ejpam-5137	211	1	[	[	X
ejpam-5137	211	2	11	11	NUM
ejpam-5137	211	3	]	]	X
ejpam-5137	211	4	e.j	e.j	PROPN
ejpam-5137	211	5	.	.	PROPN
ejpam-5137	211	6	rodriguez	rodriguez	PROPN
ejpam-5137	211	7	-	-	PUNCT
ejpam-5137	211	8	rodriguez	rodriguez	PROPN
ejpam-5137	211	9	,	,	PUNCT
ejpam-5137	211	10	j.f	j.f	PROPN
ejpam-5137	211	11	.	.	PROPN
ejpam-5137	211	12	beltran	beltran	PROPN
ejpam-5137	211	13	,	,	PUNCT
ejpam-5137	211	14	m.	m.	PROPN
ejpam-5137	211	15	tejedo	tejedo	PROPN
ejpam-5137	211	16	,	,	PUNCT
ejpam-5137	211	17	a.g	a.g	PROPN
ejpam-5137	211	18	.	.	PROPN
ejpam-5137	211	19	nicieza	nicieza	PROPN
ejpam-5137	211	20	,	,	PUNCT
ejpam-5137	211	21	d.	d.	PROPN
ejpam-5137	211	22	llusia	llusia	PROPN
ejpam-5137	211	23	,	,	PUNCT
ejpam-5137	211	24	r.	r.	PROPN
ejpam-5137	211	25	marquez	marquez	PROPN
ejpam-5137	211	26	,	,	PUNCT
ejpam-5137	211	27	and	and	CCONJ
ejpam-5137	211	28	p.	p.	PROPN
ejpam-5137	211	29	aragon	aragon	PROPN
ejpam-5137	211	30	.	.	PUNCT
ejpam-5137	211	31	niche	niche	NOUN
ejpam-5137	211	32	models	model	NOUN
ejpam-5137	211	33	at	at	ADP
ejpam-5137	211	34	inter	inter	ADJ
ejpam-5137	211	35	-	-	ADJ
ejpam-5137	211	36	and	and	CCONJ
ejpam-5137	211	37	intraspecific	intraspecific	NOUN
ejpam-5137	211	38	levels	level	NOUN
ejpam-5137	211	39	reveal	reveal	VERB
ejpam-5137	211	40	hierarchical	hierarchical	ADJ
ejpam-5137	211	41	niche	niche	NOUN
ejpam-5137	211	42	differentiation	differentiation	NOUN
ejpam-5137	211	43	in	in	ADP
ejpam-5137	211	44	midwife	midwife	NOUN
ejpam-5137	211	45	toads	toad	NOUN
ejpam-5137	211	46	.	.	PUNCT
ejpam-5137	212	1	scientific	scientific	ADJ
ejpam-5137	212	2	reports	report	NOUN
ejpam-5137	212	3	,	,	PUNCT
ejpam-5137	212	4	10(1):10942	10(1):10942	NUM
ejpam-5137	212	5	,	,	PUNCT
ejpam-5137	212	6	2020	2020	NUM
ejpam-5137	212	7	.	.	PUNCT
ejpam-5137	213	1	[	[	X
ejpam-5137	213	2	12	12	NUM
ejpam-5137	213	3	]	]	X
ejpam-5137	213	4	h.r	h.r	PROPN
ejpam-5137	213	5	.	.	PROPN
ejpam-5137	213	6	sofaer	sofaer	PROPN
ejpam-5137	213	7	,	,	PUNCT
ejpam-5137	213	8	c.s	c.s	PROPN
ejpam-5137	213	9	.	.	PROPN
ejpam-5137	213	10	jarnevich	jarnevich	PROPN
ejpam-5137	213	11	,	,	PUNCT
ejpam-5137	213	12	i.s	i.s	PROPN
ejpam-5137	213	13	.	.	PROPN
ejpam-5137	213	14	pearse	pearse	PROPN
ejpam-5137	213	15	,	,	PUNCT
ejpam-5137	213	16	r.l	r.l	PROPN
ejpam-5137	213	17	.	.	PROPN
ejpam-5137	213	18	smyth	smyth	PROPN
ejpam-5137	213	19	,	,	PUNCT
ejpam-5137	213	20	s.	s.	PROPN
ejpam-5137	213	21	auer	auer	PROPN
ejpam-5137	213	22	,	,	PUNCT
ejpam-5137	213	23	g.l	g.l	PROPN
ejpam-5137	213	24	.	.	PROPN
ejpam-5137	213	25	cook	cook	PROPN
ejpam-5137	213	26	,	,	PUNCT
ejpam-5137	213	27	t.c	t.c	PROPN
ejpam-5137	213	28	.	.	PROPN
ejpam-5137	213	29	edwards	edwards	PROPN
ejpam-5137	213	30	jr	jr	PROPN
ejpam-5137	213	31	,	,	PUNCT
ejpam-5137	213	32	g.f	g.f	PROPN
ejpam-5137	213	33	.	.	PROPN
ejpam-5137	213	34	guala	guala	PROPN
ejpam-5137	213	35	,	,	PUNCT
ejpam-5137	213	36	t.g	t.g	PROPN
ejpam-5137	213	37	.	.	PROPN
ejpam-5137	213	38	howard	howard	PROPN
ejpam-5137	213	39	,	,	PUNCT
ejpam-5137	213	40	j.t	j.t	PROPN
ejpam-5137	213	41	.	.	PROPN
ejpam-5137	213	42	morisette	morisette	PROPN
ejpam-5137	213	43	,	,	PUNCT
ejpam-5137	213	44	and	and	CCONJ
ejpam-5137	213	45	h.	h.	PROPN
ejpam-5137	213	46	hamilton	hamilton	PROPN
ejpam-5137	213	47	.	.	PUNCT
ejpam-5137	214	1	development	development	NOUN
ejpam-5137	214	2	and	and	CCONJ
ejpam-5137	214	3	delivery	delivery	NOUN
ejpam-5137	214	4	of	of	ADP
ejpam-5137	214	5	species	specie	NOUN
ejpam-5137	214	6	distribution	distribution	NOUN
ejpam-5137	214	7	models	model	NOUN
ejpam-5137	214	8	to	to	PART
ejpam-5137	214	9	inform	inform	VERB
ejpam-5137	214	10	decision	decision	NOUN
ejpam-5137	214	11	-	-	PUNCT
ejpam-5137	214	12	making	making	NOUN
ejpam-5137	214	13	.	.	PUNCT
ejpam-5137	215	1	bioscience	bioscience	NOUN
ejpam-5137	215	2	,	,	PUNCT
ejpam-5137	215	3	69(7):544–557	69(7):544–557	PROPN
ejpam-5137	215	4	.	.	PUNCT
ejpam-5137	215	5	,	,	PUNCT
ejpam-5137	215	6	2019	2019	NUM
ejpam-5137	215	7	.	.	PUNCT
ejpam-5137	216	1	references	reference	NOUN
ejpam-5137	216	2	1684	1684	NUM
ejpam-5137	217	1	[	[	X
ejpam-5137	217	2	13	13	NUM
ejpam-5137	217	3	]	]	PUNCT
ejpam-5137	217	4	a.m.	a.m.	NOUN
ejpam-5137	217	5	trainor	trainor	PROPN
ejpam-5137	217	6	,	,	PUNCT
ejpam-5137	217	7	o.j	o.j	PROPN
ejpam-5137	217	8	.	.	PROPN
ejpam-5137	217	9	schmitz	schmitz	PROPN
ejpam-5137	217	10	,	,	PUNCT
ejpam-5137	217	11	j.s	j.s	PROPN
ejpam-5137	217	12	.	.	PROPN
ejpam-5137	217	13	ivan	ivan	PROPN
ejpam-5137	217	14	,	,	PUNCT
ejpam-5137	217	15	and	and	CCONJ
ejpam-5137	217	16	t.m	t.m	PROPN
ejpam-5137	217	17	.	.	PROPN
ejpam-5137	217	18	shenk	shenk	PROPN
ejpam-5137	217	19	.	.	PUNCT
ejpam-5137	218	1	enhancing	enhance	VERB
ejpam-5137	218	2	species	species	NOUN
ejpam-5137	218	3	distribution	distribution	NOUN
ejpam-5137	218	4	modeling	modeling	NOUN
ejpam-5137	218	5	by	by	ADP
ejpam-5137	218	6	characterizing	characterize	VERB
ejpam-5137	218	7	predatorâprey	predatorâprey	NOUN
ejpam-5137	218	8	interactions	interaction	NOUN
ejpam-5137	218	9	.	.	PUNCT
ejpam-5137	219	1	ecological	ecological	ADJ
ejpam-5137	219	2	applications	application	NOUN
ejpam-5137	219	3	,	,	PUNCT
ejpam-5137	219	4	24(1):204–216	24(1):204–216	NUM
ejpam-5137	219	5	,	,	PUNCT
ejpam-5137	219	6	2014	2014	NUM
ejpam-5137	219	7	.	.	PUNCT
ejpam-5137	220	1	[	[	X
ejpam-5137	220	2	14	14	NUM
ejpam-5137	220	3	]	]	X
ejpam-5137	220	4	c.	c.	PROPN
ejpam-5137	220	5	tsallis	tsallis	PROPN
ejpam-5137	220	6	.	.	PUNCT
ejpam-5137	221	1	possible	possible	ADJ
ejpam-5137	221	2	generalization	generalization	NOUN
ejpam-5137	221	3	of	of	ADP
ejpam-5137	221	4	boltzmann	boltzmann	PROPN
ejpam-5137	221	5	-	-	PUNCT
ejpam-5137	221	6	gibbs	gibbs	PROPN
ejpam-5137	221	7	statistics	statistics	PROPN
ejpam-5137	221	8	.	.	PUNCT
ejpam-5137	222	1	journal	journal	NOUN
ejpam-5137	222	2	of	of	ADP
ejpam-5137	222	3	statistical	statistical	ADJ
ejpam-5137	222	4	physics	physics	NOUN
ejpam-5137	222	5	,	,	PUNCT
ejpam-5137	222	6	52(1	52(1	NOUN
ejpam-5137	222	7	-	-	SYM
ejpam-5137	222	8	2):479–487	2):479–487	NUM
ejpam-5137	222	9	,	,	PUNCT
ejpam-5137	222	10	1999	1999	NUM
ejpam-5137	222	11	.	.	PUNCT