id	sid	tid	token	lemma	pos
ejpam-5743	1	1	european	european	PROPN
ejpam-5743	1	2	journal	journal	PROPN
ejpam-5743	1	3	of	of	ADP
ejpam-5743	1	4	pure	pure	ADJ
ejpam-5743	1	5	and	and	CCONJ
ejpam-5743	1	6	applied	applied	ADJ
ejpam-5743	1	7	mathematics	mathematic	NOUN
ejpam-5743	1	8	2025	2025	NUM
ejpam-5743	1	9	,	,	PUNCT
ejpam-5743	1	10	vol	vol	NOUN
ejpam-5743	1	11	.	.	PROPN
ejpam-5743	1	12	18	18	NUM
ejpam-5743	1	13	,	,	PUNCT
ejpam-5743	1	14	issue	issue	NOUN
ejpam-5743	1	15	3	3	NUM
ejpam-5743	1	16	,	,	PUNCT
ejpam-5743	1	17	article	article	NOUN
ejpam-5743	1	18	number	number	NOUN
ejpam-5743	1	19	5743	5743	NUM
ejpam-5743	1	20	issn	issn	PROPN
ejpam-5743	1	21	1307	1307	NUM
ejpam-5743	1	22	-	-	SYM
ejpam-5743	1	23	5543	5543	NUM
ejpam-5743	1	24	–	–	PUNCT
ejpam-5743	1	25	ejpam.com	ejpam.com	X
ejpam-5743	1	26	published	publish	VERB
ejpam-5743	1	27	by	by	ADP
ejpam-5743	1	28	new	new	PROPN
ejpam-5743	1	29	york	york	PROPN
ejpam-5743	1	30	business	business	PROPN
ejpam-5743	1	31	global	global	ADJ
ejpam-5743	1	32	characterization	characterization	NOUN
ejpam-5743	1	33	of	of	ADP
ejpam-5743	1	34	three	three	NUM
ejpam-5743	1	35	-	-	PUNCT
ejpam-5743	1	36	dimensional	dimensional	ADJ
ejpam-5743	1	37	jacobi	jacobi	NOUN
ejpam-5743	1	38	-	-	PUNCT
ejpam-5743	1	39	poisson	poisson	PROPN
ejpam-5743	1	40	manifolds	manifold	VERB
ejpam-5743	1	41	mahamane	mahamane	PROPN
ejpam-5743	1	42	saminou	saminou	NOUN
ejpam-5743	1	43	ali1	ali1	PROPN
ejpam-5743	1	44	,	,	PUNCT
ejpam-5743	1	45	ibrahima	ibrahima	PROPN
ejpam-5743	1	46	hamidine2,∗	hamidine2,∗	PROPN
ejpam-5743	1	47	,	,	PUNCT
ejpam-5743	1	48	abdoulaye	abdoulaye	VERB
ejpam-5743	1	49	tankary	tankary	ADV
ejpam-5743	1	50	banao2	banao2	ADV
ejpam-5743	1	51	,	,	PUNCT
ejpam-5743	1	52	mouhamadou	mouhamadou	NOUN
ejpam-5743	1	53	hassirou2	hassirou2	NOUN
ejpam-5743	1	54	1	1	NUM
ejpam-5743	1	55	département	département	PROPN
ejpam-5743	1	56	de	de	X
ejpam-5743	1	57	mathématiques	mathématiques	PROPN
ejpam-5743	1	58	,	,	PUNCT
ejpam-5743	1	59	faculté	faculté	PROPN
ejpam-5743	1	60	des	des	PROPN
ejpam-5743	1	61	sciences	sciences	PROPN
ejpam-5743	1	62	et	et	NOUN
ejpam-5743	1	63	techniques	technique	NOUN
ejpam-5743	1	64	,	,	PUNCT
ejpam-5743	1	65	université	université	ADJ
ejpam-5743	1	66	d’agadez	d’agadez	PROPN
ejpam-5743	1	67	,	,	PUNCT
ejpam-5743	1	68	agadez	agadez	NOUN
ejpam-5743	1	69	,	,	PUNCT
ejpam-5743	1	70	niger	niger	NOUN
ejpam-5743	1	71	2	2	NUM
ejpam-5743	1	72	département	département	PROPN
ejpam-5743	1	73	de	de	X
ejpam-5743	1	74	mathématiques	mathématiques	X
ejpam-5743	1	75	et	et	PROPN
ejpam-5743	1	76	informatique	informatique	PROPN
ejpam-5743	1	77	,	,	PUNCT
ejpam-5743	1	78	faculté	faculté	NOUN
ejpam-5743	1	79	des	des	PROPN
ejpam-5743	1	80	sciences	sciences	PROPN
ejpam-5743	1	81	et	et	NOUN
ejpam-5743	1	82	techniques	technique	NOUN
ejpam-5743	1	83	,	,	PUNCT
ejpam-5743	1	84	université	université	NOUN
ejpam-5743	1	85	abdou	abdou	PROPN
ejpam-5743	1	86	moumouni	moumouni	PROPN
ejpam-5743	1	87	,	,	PUNCT
ejpam-5743	1	88	niamey	niamey	NOUN
ejpam-5743	1	89	,	,	PUNCT
ejpam-5743	1	90	niger	niger	NOUN
ejpam-5743	1	91	abstract	abstract	NOUN
ejpam-5743	1	92	.	.	PUNCT
ejpam-5743	2	1	after	after	ADP
ejpam-5743	2	2	a	a	DET
ejpam-5743	2	3	reminder	reminder	NOUN
ejpam-5743	2	4	of	of	ADP
ejpam-5743	2	5	essential	essential	ADJ
ejpam-5743	2	6	notions	notion	NOUN
ejpam-5743	2	7	concerning	concern	VERB
ejpam-5743	2	8	jacobi	jacobi	PROPN
ejpam-5743	2	9	and	and	CCONJ
ejpam-5743	2	10	poisson	poisson	PROPN
ejpam-5743	2	11	manifolds	manifold	NOUN
ejpam-5743	2	12	,	,	PUNCT
ejpam-5743	2	13	we	we	PRON
ejpam-5743	2	14	study	study	VERB
ejpam-5743	2	15	the	the	DET
ejpam-5743	2	16	relationships	relationship	NOUN
ejpam-5743	2	17	between	between	ADP
ejpam-5743	2	18	their	their	PRON
ejpam-5743	2	19	structures	structure	NOUN
ejpam-5743	2	20	.	.	PUNCT
ejpam-5743	3	1	we	we	PRON
ejpam-5743	3	2	also	also	ADV
ejpam-5743	3	3	show	show	VERB
ejpam-5743	3	4	that	that	SCONJ
ejpam-5743	3	5	for	for	ADP
ejpam-5743	3	6	any	any	DET
ejpam-5743	3	7	three	three	NUM
ejpam-5743	3	8	-	-	PUNCT
ejpam-5743	3	9	dimensional	dimensional	ADJ
ejpam-5743	3	10	jacobi	jacobi	NOUN
ejpam-5743	3	11	manifold	manifold	NOUN
ejpam-5743	3	12	,	,	PUNCT
ejpam-5743	3	13	we	we	PRON
ejpam-5743	3	14	can	can	AUX
ejpam-5743	3	15	construct	construct	VERB
ejpam-5743	3	16	a	a	DET
ejpam-5743	3	17	poisson	poisson	NOUN
ejpam-5743	3	18	structure	structure	NOUN
ejpam-5743	3	19	on	on	ADP
ejpam-5743	3	20	the	the	DET
ejpam-5743	3	21	same	same	ADJ
ejpam-5743	3	22	manifold	manifold	NOUN
ejpam-5743	3	23	.	.	PUNCT
ejpam-5743	4	1	the	the	DET
ejpam-5743	4	2	paper	paper	NOUN
ejpam-5743	4	3	concludes	conclude	VERB
ejpam-5743	4	4	with	with	ADP
ejpam-5743	4	5	some	some	DET
ejpam-5743	4	6	examples	example	NOUN
ejpam-5743	4	7	of	of	ADP
ejpam-5743	4	8	such	such	ADJ
ejpam-5743	4	9	manifolds	manifold	NOUN
ejpam-5743	4	10	.	.	PUNCT
ejpam-5743	5	1	2020	2020	NUM
ejpam-5743	5	2	mathematics	mathematics	PROPN
ejpam-5743	5	3	subject	subject	NOUN
ejpam-5743	5	4	classifications	classification	NOUN
ejpam-5743	5	5	:	:	PUNCT
ejpam-5743	5	6	53c15	53c15	NUM
ejpam-5743	5	7	,	,	PUNCT
ejpam-5743	5	8	53c25	53c25	NUM
ejpam-5743	5	9	,	,	PUNCT
ejpam-5743	5	10	53d10	53d10	NUM
ejpam-5743	5	11	,	,	PUNCT
ejpam-5743	5	12	53d17	53d17	NUM
ejpam-5743	5	13	,	,	PUNCT
ejpam-5743	5	14	70g45	70g45	NUM
ejpam-5743	5	15	key	key	ADJ
ejpam-5743	5	16	words	word	NOUN
ejpam-5743	5	17	and	and	CCONJ
ejpam-5743	5	18	phrases	phrase	NOUN
ejpam-5743	5	19	:	:	PUNCT
ejpam-5743	5	20	jacobi	jacobi	PROPN
ejpam-5743	5	21	structures	structure	NOUN
ejpam-5743	5	22	,	,	PUNCT
ejpam-5743	5	23	poisson	poisson	NOUN
ejpam-5743	5	24	structures	structure	NOUN
ejpam-5743	5	25	,	,	PUNCT
ejpam-5743	5	26	pseudo	pseudo	NOUN
ejpam-5743	5	27	-	-	ADJ
ejpam-5743	5	28	riemannian	riemannian	ADJ
ejpam-5743	5	29	metric	metric	NOUN
ejpam-5743	5	30	.	.	PUNCT
ejpam-5743	6	1	1	1	X
ejpam-5743	6	2	.	.	X
ejpam-5743	6	3	introduction	introduction	NOUN
ejpam-5743	6	4	jacobi	jacobi	PROPN
ejpam-5743	6	5	and	and	CCONJ
ejpam-5743	6	6	poisson	poisson	PROPN
ejpam-5743	6	7	manifolds	manifold	NOUN
ejpam-5743	6	8	are	be	AUX
ejpam-5743	6	9	nowadays	nowadays	ADV
ejpam-5743	6	10	a	a	DET
ejpam-5743	6	11	research	research	NOUN
ejpam-5743	6	12	subject	subject	NOUN
ejpam-5743	6	13	in	in	ADP
ejpam-5743	6	14	expansion	expansion	NOUN
ejpam-5743	6	15	in	in	ADP
ejpam-5743	6	16	differential	differential	ADJ
ejpam-5743	6	17	geometry	geometry	NOUN
ejpam-5743	6	18	.	.	PUNCT
ejpam-5743	7	1	the	the	DET
ejpam-5743	7	2	jacobi	jacobi	PROPN
ejpam-5743	7	3	manifolds	manifolds	PROPN
ejpam-5743	7	4	are	be	AUX
ejpam-5743	7	5	introduced	introduce	VERB
ejpam-5743	7	6	by	by	ADP
ejpam-5743	7	7	a.	a.	NOUN
ejpam-5743	7	8	lichnerowicz	lichnerowicz	PROPN
ejpam-5743	7	9	[	[	X
ejpam-5743	7	10	1	1	X
ejpam-5743	7	11	]	]	PUNCT
ejpam-5743	7	12	as	as	ADP
ejpam-5743	7	13	a	a	DET
ejpam-5743	7	14	generalisation	generalisation	NOUN
ejpam-5743	7	15	of	of	ADP
ejpam-5743	7	16	both	both	CCONJ
ejpam-5743	7	17	symplectic	symplectic	ADJ
ejpam-5743	7	18	,	,	PUNCT
ejpam-5743	7	19	poisson	poisson	NOUN
ejpam-5743	7	20	and	and	CCONJ
ejpam-5743	7	21	contact	contact	NOUN
ejpam-5743	7	22	manifold	manifold	NOUN
ejpam-5743	7	23	.	.	PUNCT
ejpam-5743	8	1	a	a	DET
ejpam-5743	8	2	jacobi	jacobi	PROPN
ejpam-5743	8	3	bracket	bracket	NOUN
ejpam-5743	8	4	is	be	AUX
ejpam-5743	8	5	just	just	ADV
ejpam-5743	8	6	a	a	DET
ejpam-5743	8	7	lie	lie	NOUN
ejpam-5743	8	8	bracket	bracket	NOUN
ejpam-5743	8	9	on	on	ADP
ejpam-5743	8	10	the	the	DET
ejpam-5743	8	11	algebra	algebra	NOUN
ejpam-5743	8	12	of	of	ADP
ejpam-5743	8	13	smooth	smooth	ADJ
ejpam-5743	8	14	functions	function	NOUN
ejpam-5743	8	15	given	give	VERB
ejpam-5743	8	16	by	by	ADP
ejpam-5743	8	17	bilinear	bilinear	NOUN
ejpam-5743	8	18	first	first	ADJ
ejpam-5743	8	19	order	order	NOUN
ejpam-5743	8	20	differential	differential	NOUN
ejpam-5743	8	21	operator	operator	NOUN
ejpam-5743	8	22	.	.	PUNCT
ejpam-5743	9	1	the	the	DET
ejpam-5743	9	2	jacobi	jacobi	PROPN
ejpam-5743	9	3	and	and	CCONJ
ejpam-5743	9	4	poisson	poisson	PROPN
ejpam-5743	9	5	manifolds	manifold	NOUN
ejpam-5743	9	6	formalize	formalize	VERB
ejpam-5743	9	7	the	the	DET
ejpam-5743	9	8	hamitonnian	hamitonnian	ADJ
ejpam-5743	9	9	geometry	geometry	NOUN
ejpam-5743	9	10	and	and	CCONJ
ejpam-5743	9	11	are	be	AUX
ejpam-5743	9	12	used	use	VERB
ejpam-5743	9	13	to	to	PART
ejpam-5743	9	14	quantify	quantify	VERB
ejpam-5743	9	15	physical	physical	ADJ
ejpam-5743	9	16	systems	system	NOUN
ejpam-5743	9	17	.	.	PUNCT
ejpam-5743	10	1	this	this	PRON
ejpam-5743	10	2	motivates	motivate	VERB
ejpam-5743	10	3	severals	several	NOUN
ejpam-5743	10	4	studies	study	NOUN
ejpam-5743	10	5	of	of	ADP
ejpam-5743	10	6	such	such	ADJ
ejpam-5743	10	7	manifolds	manifold	NOUN
ejpam-5743	10	8	.	.	PUNCT
ejpam-5743	11	1	in	in	ADP
ejpam-5743	11	2	this	this	DET
ejpam-5743	11	3	context	context	NOUN
ejpam-5743	11	4	m.	m.	NOUN
ejpam-5743	11	5	boucetta	boucetta	PROPN
ejpam-5743	11	6	studies	study	VERB
ejpam-5743	11	7	the	the	DET
ejpam-5743	11	8	compatibility	compatibility	NOUN
ejpam-5743	11	9	between	between	ADP
ejpam-5743	11	10	poisson	poisson	NOUN
ejpam-5743	11	11	and	and	CCONJ
ejpam-5743	11	12	pseudo	pseudo	NOUN
ejpam-5743	11	13	-	-	ADJ
ejpam-5743	11	14	riemannian	riemannian	ADJ
ejpam-5743	11	15	structures	structure	NOUN
ejpam-5743	11	16	[	[	X
ejpam-5743	11	17	2–4	2–4	NUM
ejpam-5743	11	18	]	]	PUNCT
ejpam-5743	11	19	.	.	PUNCT
ejpam-5743	12	1	this	this	PRON
ejpam-5743	12	2	allows	allow	VERB
ejpam-5743	12	3	better	well	ADJ
ejpam-5743	12	4	characterization	characterization	NOUN
ejpam-5743	12	5	of	of	ADP
ejpam-5743	12	6	symplectic	symplectic	ADJ
ejpam-5743	12	7	leaves	leave	NOUN
ejpam-5743	12	8	[	[	X
ejpam-5743	12	9	5	5	NUM
ejpam-5743	12	10	,	,	PUNCT
ejpam-5743	12	11	6	6	NUM
ejpam-5743	12	12	]	]	PUNCT
ejpam-5743	12	13	.	.	PUNCT
ejpam-5743	13	1	in	in	ADP
ejpam-5743	13	2	the	the	DET
ejpam-5743	13	3	same	same	ADJ
ejpam-5743	13	4	way	way	NOUN
ejpam-5743	13	5	,	,	PUNCT
ejpam-5743	13	6	y.	y.	PROPN
ejpam-5743	13	7	a.	a.	PROPN
ejpam-5743	13	8	amrane	amrane	PROPN
ejpam-5743	13	9	and	and	CCONJ
ejpam-5743	13	10	a.	a.	NOUN
ejpam-5743	13	11	zeglaoui	zeglaoui	PROPN
ejpam-5743	13	12	study	study	VERB
ejpam-5743	13	13	the	the	DET
ejpam-5743	13	14	compatibility	compatibility	NOUN
ejpam-5743	13	15	between	between	ADP
ejpam-5743	13	16	riemannian	riemannian	ADJ
ejpam-5743	13	17	structures	structure	NOUN
ejpam-5743	13	18	and	and	CCONJ
ejpam-5743	13	19	jacobi	jacobi	PROPN
ejpam-5743	13	20	structures	structure	NOUN
ejpam-5743	13	21	[	[	X
ejpam-5743	13	22	7	7	NUM
ejpam-5743	13	23	]	]	PUNCT
ejpam-5743	13	24	.	.	PUNCT
ejpam-5743	14	1	to	to	PART
ejpam-5743	14	2	better	well	ADV
ejpam-5743	14	3	understand	understand	VERB
ejpam-5743	14	4	the	the	DET
ejpam-5743	14	5	geometry	geometry	NOUN
ejpam-5743	14	6	behind	behind	ADP
ejpam-5743	14	7	the	the	DET
ejpam-5743	14	8	jacobi	jacobi	PROPN
ejpam-5743	14	9	structure	structure	NOUN
ejpam-5743	14	10	,	,	PUNCT
ejpam-5743	14	11	some	some	DET
ejpam-5743	14	12	researchers	researcher	NOUN
ejpam-5743	14	13	try	try	VERB
ejpam-5743	14	14	to	to	PART
ejpam-5743	14	15	look	look	VERB
ejpam-5743	14	16	at	at	ADP
ejpam-5743	14	17	this	this	DET
ejpam-5743	14	18	structure	structure	NOUN
ejpam-5743	14	19	as	as	ADP
ejpam-5743	14	20	a	a	DET
ejpam-5743	14	21	generalization	generalization	NOUN
ejpam-5743	14	22	of	of	ADP
ejpam-5743	14	23	a	a	DET
ejpam-5743	14	24	poisson	poisson	NOUN
ejpam-5743	14	25	structure	structure	NOUN
ejpam-5743	14	26	.	.	PUNCT
ejpam-5743	15	1	so	so	ADV
ejpam-5743	15	2	they	they	PRON
ejpam-5743	15	3	rewrite	rewrite	VERB
ejpam-5743	15	4	notions	notion	NOUN
ejpam-5743	15	5	∗corresponding	∗corresponde	VERB
ejpam-5743	15	6	author	author	NOUN
ejpam-5743	15	7	.	.	PUNCT
ejpam-5743	16	1	doi	doi	NOUN
ejpam-5743	16	2	:	:	PUNCT
ejpam-5743	16	3	https://doi.org/10.29020/nybg.ejpam.v18i3.5743	https://doi.org/10.29020/nybg.ejpam.v18i3.5743	NOUN
ejpam-5743	16	4	email	email	NOUN
ejpam-5743	16	5	addresses	address	VERB
ejpam-5743	16	6	:	:	PUNCT
ejpam-5743	17	1	mahamanesaminou@gmail.com	mahamanesaminou@gmail.com	X
ejpam-5743	17	2	(	(	PUNCT
ejpam-5743	17	3	m.	m.	PROPN
ejpam-5743	17	4	s.	s.	PROPN
ejpam-5743	17	5	ali	ali	PROPN
ejpam-5743	17	6	)	)	PUNCT
ejpam-5743	17	7	,	,	PUNCT
ejpam-5743	17	8	ibrahima.hamidine@uam.edu.ne	ibrahima.hamidine@uam.edu.ne	X
ejpam-5743	17	9	(	(	PUNCT
ejpam-5743	17	10	i.	i.	PROPN
ejpam-5743	17	11	hamidine	hamidine	PROPN
ejpam-5743	17	12	)	)	PUNCT
ejpam-5743	17	13	,	,	PUNCT
ejpam-5743	18	1	tankarybanaou@gmail.com	tankarybanaou@gmail.com	X
ejpam-5743	18	2	(	(	PUNCT
ejpam-5743	18	3	a.	a.	NOUN
ejpam-5743	18	4	tankary	tankary	ADJ
ejpam-5743	18	5	banao	banao	NOUN
ejpam-5743	18	6	)	)	PUNCT
ejpam-5743	18	7	,	,	PUNCT
ejpam-5743	18	8	mouhamadou.hassirou@uam.edu.ne	mouhamadou.hassirou@uam.edu.ne	X
ejpam-5743	18	9	(	(	PUNCT
ejpam-5743	18	10	m.	m.	NOUN
ejpam-5743	18	11	hassirou	hassirou	NOUN
ejpam-5743	18	12	)	)	PUNCT
ejpam-5743	18	13	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5743	19	1	1	1	NUM
ejpam-5743	19	2	copyright	copyright	NOUN
ejpam-5743	19	3	:	:	PUNCT
ejpam-5743	19	4	©	©	PROPN
ejpam-5743	19	5	2025	2025	NUM
ejpam-5743	19	6	the	the	DET
ejpam-5743	19	7	author(s	author(s	NOUN
ejpam-5743	19	8	)	)	PUNCT
ejpam-5743	19	9	.	.	PUNCT
ejpam-5743	20	1	(	(	PUNCT
ejpam-5743	20	2	cc	cc	NOUN
ejpam-5743	20	3	by	by	ADP
ejpam-5743	20	4	-	-	PUNCT
ejpam-5743	20	5	nc	nc	PROPN
ejpam-5743	20	6	4.0	4.0	NUM
ejpam-5743	20	7	)	)	PUNCT
ejpam-5743	20	8	m.	m.	NOUN
ejpam-5743	20	9	s.	s.	PROPN
ejpam-5743	20	10	ali	ali	PROPN
ejpam-5743	20	11	et	et	PROPN
ejpam-5743	20	12	al	al	PROPN
ejpam-5743	20	13	.	.	PUNCT
ejpam-5743	20	14	/	/	SYM
ejpam-5743	20	15	eur	eur	PROPN
ejpam-5743	20	16	.	.	PUNCT
ejpam-5743	21	1	j.	j.	PROPN
ejpam-5743	21	2	pure	pure	PROPN
ejpam-5743	21	3	appl	appl	PROPN
ejpam-5743	21	4	.	.	PROPN
ejpam-5743	21	5	math	math	PROPN
ejpam-5743	21	6	,	,	PUNCT
ejpam-5743	21	7	18	18	NUM
ejpam-5743	21	8	(	(	PUNCT
ejpam-5743	21	9	3	3	NUM
ejpam-5743	21	10	)	)	PUNCT
ejpam-5743	21	11	(	(	PUNCT
ejpam-5743	21	12	2025	2025	NUM
ejpam-5743	21	13	)	)	PUNCT
ejpam-5743	21	14	,	,	PUNCT
ejpam-5743	21	15	5743	5743	NUM
ejpam-5743	21	16	2	2	NUM
ejpam-5743	21	17	of	of	ADP
ejpam-5743	21	18	14	14	NUM
ejpam-5743	21	19	on	on	ADP
ejpam-5743	21	20	jacobi	jacobi	PROPN
ejpam-5743	21	21	manifolds	manifold	VERB
ejpam-5743	21	22	so	so	SCONJ
ejpam-5743	21	23	that	that	SCONJ
ejpam-5743	21	24	they	they	PRON
ejpam-5743	21	25	generalize	generalize	VERB
ejpam-5743	21	26	the	the	DET
ejpam-5743	21	27	same	same	ADJ
ejpam-5743	21	28	notions	notion	NOUN
ejpam-5743	21	29	on	on	ADP
ejpam-5743	21	30	poisson	poisson	PROPN
ejpam-5743	21	31	manifolds	manifold	NOUN
ejpam-5743	21	32	.	.	PUNCT
ejpam-5743	22	1	thus	thus	ADV
ejpam-5743	22	2	,	,	PUNCT
ejpam-5743	22	3	one	one	PRON
ejpam-5743	22	4	can	can	AUX
ejpam-5743	22	5	ask	ask	VERB
ejpam-5743	22	6	about	about	ADP
ejpam-5743	22	7	the	the	DET
ejpam-5743	22	8	possibility	possibility	NOUN
ejpam-5743	22	9	of	of	ADP
ejpam-5743	22	10	having	have	VERB
ejpam-5743	22	11	a	a	DET
ejpam-5743	22	12	jacobi	jacobi	NOUN
ejpam-5743	22	13	structure	structure	NOUN
ejpam-5743	22	14	and	and	CCONJ
ejpam-5743	22	15	a	a	DET
ejpam-5743	22	16	poisson	poisson	NOUN
ejpam-5743	22	17	structure	structure	NOUN
ejpam-5743	22	18	on	on	ADP
ejpam-5743	22	19	the	the	DET
ejpam-5743	22	20	same	same	ADJ
ejpam-5743	22	21	manifold	manifold	NOUN
ejpam-5743	22	22	,	,	PUNCT
ejpam-5743	22	23	and	and	CCONJ
ejpam-5743	22	24	the	the	DET
ejpam-5743	22	25	relationship	relationship	NOUN
ejpam-5743	22	26	that	that	PRON
ejpam-5743	22	27	can	can	AUX
ejpam-5743	22	28	exist	exist	VERB
ejpam-5743	22	29	between	between	ADP
ejpam-5743	22	30	the	the	DET
ejpam-5743	22	31	two	two	NUM
ejpam-5743	22	32	structures	structure	NOUN
ejpam-5743	22	33	.	.	PUNCT
ejpam-5743	23	1	the	the	DET
ejpam-5743	23	2	first	first	ADJ
ejpam-5743	23	3	answer	answer	NOUN
ejpam-5743	23	4	is	be	AUX
ejpam-5743	23	5	given	give	VERB
ejpam-5743	23	6	in	in	ADP
ejpam-5743	23	7	[	[	X
ejpam-5743	23	8	8	8	NUM
ejpam-5743	23	9	,	,	PUNCT
ejpam-5743	23	10	9	9	NUM
ejpam-5743	23	11	]	]	PUNCT
ejpam-5743	23	12	.	.	PUNCT
ejpam-5743	24	1	they	they	PRON
ejpam-5743	24	2	show	show	VERB
ejpam-5743	24	3	that	that	SCONJ
ejpam-5743	24	4	from	from	ADP
ejpam-5743	24	5	any	any	DET
ejpam-5743	24	6	n	n	ADV
ejpam-5743	24	7	-	-	PUNCT
ejpam-5743	24	8	dimensional	dimensional	ADJ
ejpam-5743	24	9	jacobi	jacobi	PROPN
ejpam-5743	24	10	manifold	manifold	ADJ
ejpam-5743	24	11	one	one	NUM
ejpam-5743	24	12	can	can	AUX
ejpam-5743	24	13	construct	construct	VERB
ejpam-5743	24	14	a	a	DET
ejpam-5743	24	15	natural	natural	ADJ
ejpam-5743	24	16	poisson	poisson	NOUN
ejpam-5743	24	17	structure	structure	NOUN
ejpam-5743	24	18	on	on	ADP
ejpam-5743	24	19	the	the	DET
ejpam-5743	24	20	cone	cone	NOUN
ejpam-5743	24	21	m	m	NOUN
ejpam-5743	24	22	×	×	NOUN
ejpam-5743	24	23	r∗	r∗	NOUN
ejpam-5743	25	1	+	+	PROPN
ejpam-5743	25	2	.	.	PUNCT
ejpam-5743	26	1	in	in	ADP
ejpam-5743	26	2	this	this	DET
ejpam-5743	26	3	paper	paper	NOUN
ejpam-5743	26	4	we	we	PRON
ejpam-5743	26	5	try	try	VERB
ejpam-5743	26	6	to	to	PART
ejpam-5743	26	7	give	give	VERB
ejpam-5743	26	8	an	an	DET
ejpam-5743	26	9	answer	answer	NOUN
ejpam-5743	26	10	to	to	ADP
ejpam-5743	26	11	the	the	DET
ejpam-5743	26	12	above	above	ADJ
ejpam-5743	26	13	question	question	NOUN
ejpam-5743	26	14	.	.	PUNCT
ejpam-5743	27	1	we	we	PRON
ejpam-5743	27	2	study	study	VERB
ejpam-5743	27	3	a	a	DET
ejpam-5743	27	4	special	special	ADJ
ejpam-5743	27	5	case	case	NOUN
ejpam-5743	27	6	of	of	ADP
ejpam-5743	27	7	a	a	DET
ejpam-5743	27	8	three	three	NUM
ejpam-5743	27	9	-	-	PUNCT
ejpam-5743	27	10	dimensional	dimensional	ADJ
ejpam-5743	27	11	jacobi	jacobi	PROPN
ejpam-5743	27	12	manifold	manifold	NOUN
ejpam-5743	27	13	.	.	PUNCT
ejpam-5743	28	1	we	we	PRON
ejpam-5743	28	2	show	show	VERB
ejpam-5743	28	3	that	that	SCONJ
ejpam-5743	28	4	for	for	ADP
ejpam-5743	28	5	any	any	DET
ejpam-5743	28	6	three	three	NUM
ejpam-5743	28	7	-	-	PUNCT
ejpam-5743	28	8	dimensional	dimensional	ADJ
ejpam-5743	28	9	jacobi	jacobi	PROPN
ejpam-5743	28	10	manifold	manifold	NOUN
ejpam-5743	28	11	we	we	PRON
ejpam-5743	28	12	can	can	AUX
ejpam-5743	28	13	construct	construct	VERB
ejpam-5743	28	14	a	a	DET
ejpam-5743	28	15	poisson	poisson	NOUN
ejpam-5743	28	16	structure	structure	NOUN
ejpam-5743	28	17	on	on	ADP
ejpam-5743	28	18	the	the	DET
ejpam-5743	28	19	same	same	ADJ
ejpam-5743	28	20	manifold	manifold	NOUN
ejpam-5743	28	21	.	.	PUNCT
ejpam-5743	29	1	we	we	PRON
ejpam-5743	29	2	give	give	VERB
ejpam-5743	29	3	some	some	DET
ejpam-5743	29	4	examples	example	NOUN
ejpam-5743	29	5	of	of	ADP
ejpam-5743	29	6	such	such	ADJ
ejpam-5743	29	7	manifolds	manifold	NOUN
ejpam-5743	29	8	.	.	PUNCT
ejpam-5743	30	1	the	the	DET
ejpam-5743	30	2	organisation	organisation	NOUN
ejpam-5743	30	3	of	of	ADP
ejpam-5743	30	4	the	the	DET
ejpam-5743	30	5	paper	paper	NOUN
ejpam-5743	30	6	is	be	AUX
ejpam-5743	30	7	as	as	SCONJ
ejpam-5743	30	8	follows	follow	VERB
ejpam-5743	30	9	:	:	PUNCT
ejpam-5743	30	10	in	in	ADP
ejpam-5743	30	11	section	section	NOUN
ejpam-5743	30	12	2	2	NUM
ejpam-5743	30	13	we	we	PRON
ejpam-5743	30	14	begin	begin	VERB
ejpam-5743	30	15	with	with	ADP
ejpam-5743	30	16	a	a	DET
ejpam-5743	30	17	brief	brief	ADJ
ejpam-5743	30	18	review	review	NOUN
ejpam-5743	30	19	of	of	ADP
ejpam-5743	30	20	the	the	DET
ejpam-5743	30	21	jacobi	jacobi	PROPN
ejpam-5743	30	22	structure	structure	NOUN
ejpam-5743	30	23	and	and	CCONJ
ejpam-5743	30	24	its	its	PRON
ejpam-5743	30	25	correspondence	correspondence	NOUN
ejpam-5743	30	26	with	with	ADP
ejpam-5743	30	27	poisson	poisson	PROPN
ejpam-5743	30	28	structures	structure	NOUN
ejpam-5743	30	29	.	.	PUNCT
ejpam-5743	31	1	section	section	NOUN
ejpam-5743	31	2	3	3	NUM
ejpam-5743	31	3	is	be	AUX
ejpam-5743	31	4	devoted	devote	VERB
ejpam-5743	31	5	to	to	ADP
ejpam-5743	31	6	the	the	DET
ejpam-5743	31	7	compatibility	compatibility	NOUN
ejpam-5743	31	8	between	between	ADP
ejpam-5743	31	9	riemannian	riemannian	NOUN
ejpam-5743	31	10	and	and	CCONJ
ejpam-5743	31	11	jacobi	jacobi	PROPN
ejpam-5743	31	12	structures	structure	NOUN
ejpam-5743	31	13	on	on	ADP
ejpam-5743	31	14	a	a	DET
ejpam-5743	31	15	manifold	manifold	NOUN
ejpam-5743	31	16	as	as	ADP
ejpam-5743	31	17	a	a	DET
ejpam-5743	31	18	generalisation	generalisation	NOUN
ejpam-5743	31	19	of	of	ADP
ejpam-5743	31	20	the	the	DET
ejpam-5743	31	21	compatibility	compatibility	NOUN
ejpam-5743	31	22	between	between	ADP
ejpam-5743	31	23	riemannian	riemannian	NOUN
ejpam-5743	31	24	and	and	CCONJ
ejpam-5743	31	25	poisson	poisson	PROPN
ejpam-5743	31	26	structures	structure	NOUN
ejpam-5743	31	27	.	.	PUNCT
ejpam-5743	32	1	in	in	ADP
ejpam-5743	32	2	section	section	NOUN
ejpam-5743	32	3	4	4	NUM
ejpam-5743	32	4	we	we	PRON
ejpam-5743	32	5	give	give	VERB
ejpam-5743	32	6	the	the	DET
ejpam-5743	32	7	connection	connection	NOUN
ejpam-5743	32	8	between	between	ADP
ejpam-5743	32	9	jacobi	jacobi	PROPN
ejpam-5743	32	10	and	and	CCONJ
ejpam-5743	32	11	poisson	poisson	PROPN
ejpam-5743	32	12	manifolds	manifold	NOUN
ejpam-5743	32	13	in	in	ADP
ejpam-5743	32	14	r3	r3	PROPN
ejpam-5743	32	15	.	.	PUNCT
ejpam-5743	33	1	in	in	ADP
ejpam-5743	33	2	addition	addition	NOUN
ejpam-5743	33	3	,	,	PUNCT
ejpam-5743	33	4	we	we	PRON
ejpam-5743	33	5	give	give	VERB
ejpam-5743	33	6	the	the	DET
ejpam-5743	33	7	partial	partial	ADJ
ejpam-5743	33	8	compatibility	compatibility	NOUN
ejpam-5743	33	9	with	with	ADP
ejpam-5743	33	10	the	the	DET
ejpam-5743	33	11	riemannian	riemannian	ADJ
ejpam-5743	33	12	metric	metric	ADJ
ejpam-5743	33	13	g	g	PROPN
ejpam-5743	33	14	and	and	CCONJ
ejpam-5743	33	15	the	the	DET
ejpam-5743	33	16	jacobi	jacobi	PROPN
ejpam-5743	33	17	structure	structure	NOUN
ejpam-5743	33	18	(	(	PUNCT
ejpam-5743	33	19	π	π	X
ejpam-5743	33	20	,	,	PUNCT
ejpam-5743	33	21	e	e	NOUN
ejpam-5743	33	22	)	)	PUNCT
ejpam-5743	33	23	;	;	PUNCT
ejpam-5743	33	24	we	we	PRON
ejpam-5743	33	25	also	also	ADV
ejpam-5743	33	26	prove	prove	VERB
ejpam-5743	33	27	that	that	SCONJ
ejpam-5743	33	28	if	if	SCONJ
ejpam-5743	33	29	(	(	PUNCT
ejpam-5743	33	30	m	m	PROPN
ejpam-5743	33	31	,	,	PUNCT
ejpam-5743	33	32	π	π	PROPN
ejpam-5743	33	33	,	,	PUNCT
ejpam-5743	33	34	e	e	NOUN
ejpam-5743	33	35	)	)	PUNCT
ejpam-5743	33	36	is	be	AUX
ejpam-5743	33	37	a	a	DET
ejpam-5743	33	38	jacobi	jacobi	PROPN
ejpam-5743	33	39	manifold	manifold	NOUN
ejpam-5743	33	40	,	,	PUNCT
ejpam-5743	33	41	then	then	ADV
ejpam-5743	33	42	(	(	PUNCT
ejpam-5743	33	43	m	m	PROPN
ejpam-5743	33	44	,	,	PUNCT
ejpam-5743	33	45	p	p	NOUN
ejpam-5743	33	46	)	)	PUNCT
ejpam-5743	33	47	is	be	AUX
ejpam-5743	33	48	a	a	DET
ejpam-5743	33	49	poisson	poisson	NOUN
ejpam-5743	33	50	manifold	manifold	ADJ
ejpam-5743	33	51	under	under	ADP
ejpam-5743	33	52	certain	certain	ADJ
ejpam-5743	33	53	conditions	condition	NOUN
ejpam-5743	33	54	.	.	PUNCT
ejpam-5743	34	1	and	and	CCONJ
ejpam-5743	34	2	some	some	DET
ejpam-5743	34	3	examples	example	NOUN
ejpam-5743	34	4	of	of	ADP
ejpam-5743	34	5	3	3	NUM
ejpam-5743	34	6	-	-	PUNCT
ejpam-5743	34	7	dimensional	dimensional	ADJ
ejpam-5743	34	8	jacobi	jacobi	NOUN
ejpam-5743	34	9	-	-	PUNCT
ejpam-5743	34	10	poisson	poisson	PROPN
ejpam-5743	34	11	manifolds	manifold	NOUN
ejpam-5743	34	12	are	be	AUX
ejpam-5743	34	13	given	give	VERB
ejpam-5743	34	14	.	.	PUNCT
ejpam-5743	35	1	2	2	X
ejpam-5743	35	2	.	.	PUNCT
ejpam-5743	36	1	jacobi	jacobi	PROPN
ejpam-5743	36	2	manifolds	manifolds	PROPN
ejpam-5743	36	3	and	and	CCONJ
ejpam-5743	36	4	poisson	poisson	PROPN
ejpam-5743	36	5	manifolds	manifold	NOUN
ejpam-5743	36	6	let	let	VERB
ejpam-5743	36	7	(	(	PUNCT
ejpam-5743	36	8	m	m	NOUN
ejpam-5743	36	9	,	,	PUNCT
ejpam-5743	36	10	g	g	PROPN
ejpam-5743	36	11	,	,	PUNCT
ejpam-5743	36	12	π	π	X
ejpam-5743	36	13	)	)	PUNCT
ejpam-5743	36	14	be	be	VERB
ejpam-5743	36	15	an	an	DET
ejpam-5743	36	16	n	n	ADV
ejpam-5743	36	17	-	-	PUNCT
ejpam-5743	36	18	dimensional	dimensional	ADJ
ejpam-5743	36	19	manifold	manifold	NOUN
ejpam-5743	36	20	with	with	ADP
ejpam-5743	36	21	a	a	DET
ejpam-5743	36	22	pseudo	pseudo	NOUN
ejpam-5743	36	23	-	-	ADJ
ejpam-5743	36	24	riemannian	riemannian	ADJ
ejpam-5743	36	25	metric	metric	ADJ
ejpam-5743	36	26	g	g	NOUN
ejpam-5743	36	27	and	and	CCONJ
ejpam-5743	36	28	a	a	DET
ejpam-5743	36	29	bivector	bivector	NOUN
ejpam-5743	36	30	field	field	NOUN
ejpam-5743	36	31	π	π	AUX
ejpam-5743	36	32	.	.	PUNCT
ejpam-5743	37	1	let	let	VERB
ejpam-5743	37	2	e	e	PRON
ejpam-5743	37	3	be	be	AUX
ejpam-5743	37	4	a	a	DET
ejpam-5743	37	5	vector	vector	NOUN
ejpam-5743	37	6	field	field	NOUN
ejpam-5743	37	7	on	on	ADP
ejpam-5743	37	8	m	m	PROPN
ejpam-5743	37	9	.	.	PUNCT
ejpam-5743	38	1	the	the	DET
ejpam-5743	38	2	pair	pair	NOUN
ejpam-5743	38	3	(	(	PUNCT
ejpam-5743	38	4	π	π	X
ejpam-5743	38	5	,	,	PUNCT
ejpam-5743	38	6	e	e	NOUN
ejpam-5743	38	7	)	)	PUNCT
ejpam-5743	38	8	defines	define	VERB
ejpam-5743	38	9	a	a	DET
ejpam-5743	38	10	jacobi	jacobi	PROPN
ejpam-5743	38	11	structure	structure	NOUN
ejpam-5743	38	12	on	on	ADP
ejpam-5743	38	13	m	m	PROPN
ejpam-5743	38	14	if	if	SCONJ
ejpam-5743	38	15	we	we	PRON
ejpam-5743	38	16	have	have	VERB
ejpam-5743	38	17	the	the	DET
ejpam-5743	38	18	following	follow	VERB
ejpam-5743	38	19	relations	relation	NOUN
ejpam-5743	38	20	[	[	X
ejpam-5743	38	21	π	π	X
ejpam-5743	38	22	,	,	PUNCT
ejpam-5743	38	23	π	π	X
ejpam-5743	38	24	]	]	X
ejpam-5743	38	25	=	=	SYM
ejpam-5743	38	26	2e	2e	NOUN
ejpam-5743	38	27	∧	∧	PROPN
ejpam-5743	38	28	π	π	PROPN
ejpam-5743	38	29	and	and	CCONJ
ejpam-5743	38	30	[	[	X
ejpam-5743	38	31	e	e	X
ejpam-5743	38	32	,	,	PUNCT
ejpam-5743	38	33	π	π	X
ejpam-5743	38	34	]	]	X
ejpam-5743	38	35	:	:	PUNCT
ejpam-5743	38	36	=	=	SYM
ejpam-5743	38	37	leπ	leπ	NOUN
ejpam-5743	38	38	=	=	SYM
ejpam-5743	38	39	0	0	PROPN
ejpam-5743	38	40	,	,	PUNCT
ejpam-5743	38	41	(	(	PUNCT
ejpam-5743	38	42	1	1	X
ejpam-5743	38	43	)	)	PUNCT
ejpam-5743	38	44	where	where	SCONJ
ejpam-5743	38	45	[	[	X
ejpam-5743	38	46	.	.	PUNCT
ejpam-5743	38	47	,	,	PUNCT
ejpam-5743	38	48	.	.	PUNCT
ejpam-5743	38	49	]	]	PUNCT
ejpam-5743	38	50	is	be	AUX
ejpam-5743	38	51	the	the	DET
ejpam-5743	38	52	schouten	schouten	ADJ
ejpam-5743	38	53	-	-	PUNCT
ejpam-5743	38	54	nijenhuis	nijenhuis	NOUN
ejpam-5743	38	55	bracket	bracket	NOUN
ejpam-5743	38	56	,	,	PUNCT
ejpam-5743	38	57	see	see	VERB
ejpam-5743	38	58	[	[	X
ejpam-5743	38	59	7	7	NUM
ejpam-5743	38	60	]	]	PUNCT
ejpam-5743	38	61	.	.	PUNCT
ejpam-5743	39	1	in	in	ADP
ejpam-5743	39	2	local	local	ADJ
ejpam-5743	39	3	coordinates	coordinate	NOUN
ejpam-5743	39	4	(	(	PUNCT
ejpam-5743	39	5	x1	x1	PROPN
ejpam-5743	39	6	,	,	PUNCT
ejpam-5743	39	7	.	.	PUNCT
ejpam-5743	39	8	.	.	PUNCT
ejpam-5743	39	9	.	.	PUNCT
ejpam-5743	40	1	,	,	PUNCT
ejpam-5743	40	2	xn	xn	X
ejpam-5743	40	3	)	)	PUNCT
ejpam-5743	40	4	the	the	DET
ejpam-5743	40	5	tensor	tensor	NOUN
ejpam-5743	40	6	π	π	PROPN
ejpam-5743	40	7	is	be	AUX
ejpam-5743	40	8	determined	determine	VERB
ejpam-5743	40	9	by	by	ADP
ejpam-5743	40	10	the	the	DET
ejpam-5743	40	11	matrix	matrix	NOUN
ejpam-5743	40	12	πij(x	πij(x	PROPN
ejpam-5743	40	13	)	)	PUNCT
ejpam-5743	41	1	=	=	PRON
ejpam-5743	41	2	{	{	PUNCT
ejpam-5743	41	3	xi	xi	PROPN
ejpam-5743	41	4	,	,	PUNCT
ejpam-5743	41	5	xj	xj	PROPN
ejpam-5743	41	6	}	}	PUNCT
ejpam-5743	41	7	.	.	PUNCT
ejpam-5743	42	1	the	the	DET
ejpam-5743	42	2	rank	rank	NOUN
ejpam-5743	42	3	of	of	ADP
ejpam-5743	42	4	this	this	DET
ejpam-5743	42	5	matrix	matrix	NOUN
ejpam-5743	42	6	is	be	AUX
ejpam-5743	42	7	called	call	VERB
ejpam-5743	42	8	the	the	DET
ejpam-5743	42	9	rank	rank	NOUN
ejpam-5743	42	10	of	of	ADP
ejpam-5743	42	11	π	π	PROPN
ejpam-5743	42	12	at	at	ADP
ejpam-5743	42	13	x.	x.	PROPN
ejpam-5743	42	14	note	note	VERB
ejpam-5743	42	15	that	that	SCONJ
ejpam-5743	42	16	a	a	DET
ejpam-5743	42	17	be	be	NOUN
ejpam-5743	42	18	vector	vector	NOUN
ejpam-5743	42	19	π	π	NOUN
ejpam-5743	42	20	is	be	AUX
ejpam-5743	42	21	a	a	DET
ejpam-5743	42	22	poisson	poisson	NOUN
ejpam-5743	42	23	tensor	tensor	NOUN
ejpam-5743	42	24	(	(	PUNCT
ejpam-5743	42	25	(	(	PUNCT
ejpam-5743	42	26	m	m	PROPN
ejpam-5743	42	27	,	,	PUNCT
ejpam-5743	42	28	π	π	X
ejpam-5743	42	29	)	)	PUNCT
ejpam-5743	42	30	is	be	AUX
ejpam-5743	42	31	a	a	DET
ejpam-5743	42	32	poisson	poisson	NOUN
ejpam-5743	42	33	manifold	manifold	NOUN
ejpam-5743	42	34	)	)	PUNCT
ejpam-5743	42	35	if	if	SCONJ
ejpam-5743	42	36	[	[	X
ejpam-5743	42	37	π	π	X
ejpam-5743	42	38	,	,	PUNCT
ejpam-5743	42	39	π	π	X
ejpam-5743	42	40	]	]	X
ejpam-5743	42	41	=	=	SYM
ejpam-5743	42	42	0	0	X
ejpam-5743	42	43	.	.	PUNCT
ejpam-5743	43	1	a	a	DET
ejpam-5743	43	2	poisson	poisson	NOUN
ejpam-5743	43	3	structure	structure	NOUN
ejpam-5743	43	4	is	be	AUX
ejpam-5743	43	5	called	call	VERB
ejpam-5743	43	6	regular	regular	ADJ
ejpam-5743	43	7	if	if	SCONJ
ejpam-5743	43	8	the	the	DET
ejpam-5743	43	9	rank	rank	NOUN
ejpam-5743	43	10	of	of	ADP
ejpam-5743	43	11	π	π	PROPN
ejpam-5743	43	12	is	be	AUX
ejpam-5743	43	13	constant	constant	ADJ
ejpam-5743	43	14	on	on	ADP
ejpam-5743	43	15	m	m	PROPN
ejpam-5743	43	16	.	.	PUNCT
ejpam-5743	44	1	if	if	SCONJ
ejpam-5743	44	2	this	this	DET
ejpam-5743	44	3	matrix	matrix	NOUN
ejpam-5743	44	4	is	be	AUX
ejpam-5743	44	5	invertible	invertible	ADJ
ejpam-5743	44	6	a	a	DET
ejpam-5743	44	7	each	each	DET
ejpam-5743	44	8	x	x	NOUN
ejpam-5743	44	9	,	,	PUNCT
ejpam-5743	44	10	then	then	ADV
ejpam-5743	44	11	π	π	PROPN
ejpam-5743	44	12	is	be	AUX
ejpam-5743	44	13	called	call	VERB
ejpam-5743	44	14	non	non	ADJ
ejpam-5743	44	15	-	-	ADJ
ejpam-5743	44	16	degenerate	degenerate	ADJ
ejpam-5743	44	17	or	or	CCONJ
ejpam-5743	44	18	symplectic	symplectic	ADJ
ejpam-5743	44	19	.	.	PUNCT
ejpam-5743	45	1	we	we	PRON
ejpam-5743	45	2	call	call	VERB
ejpam-5743	45	3	(	(	PUNCT
ejpam-5743	45	4	m	m	PROPN
ejpam-5743	45	5	,	,	PUNCT
ejpam-5743	45	6	π	π	PROPN
ejpam-5743	45	7	,	,	PUNCT
ejpam-5743	45	8	e	e	NOUN
ejpam-5743	45	9	)	)	PUNCT
ejpam-5743	45	10	a	a	DET
ejpam-5743	45	11	jacobi	jacobi	PROPN
ejpam-5743	45	12	manifold	manifold	PROPN
ejpam-5743	45	13	.	.	PUNCT
ejpam-5743	46	1	if	if	SCONJ
ejpam-5743	46	2	e	e	PROPN
ejpam-5743	46	3	=	=	SYM
ejpam-5743	46	4	0	0	NUM
ejpam-5743	46	5	,	,	PUNCT
ejpam-5743	46	6	then	then	ADV
ejpam-5743	46	7	[	[	X
ejpam-5743	46	8	π	π	X
ejpam-5743	46	9	,	,	PUNCT
ejpam-5743	46	10	π	π	X
ejpam-5743	46	11	]	]	X
ejpam-5743	46	12	=	=	SYM
ejpam-5743	46	13	0	0	PROPN
ejpam-5743	46	14	,	,	PUNCT
ejpam-5743	46	15	which	which	PRON
ejpam-5743	46	16	correspond	correspond	VERB
ejpam-5743	46	17	for	for	ADP
ejpam-5743	46	18	poisson	poisson	NOUN
ejpam-5743	46	19	structure	structure	NOUN
ejpam-5743	46	20	(	(	PUNCT
ejpam-5743	46	21	m	m	PROPN
ejpam-5743	46	22	,	,	PUNCT
ejpam-5743	46	23	π	π	PROPN
ejpam-5743	46	24	)	)	PUNCT
ejpam-5743	46	25	.	.	PUNCT
ejpam-5743	47	1	thus	thus	ADV
ejpam-5743	47	2	the	the	DET
ejpam-5743	47	3	jacobi	jacobi	PROPN
ejpam-5743	47	4	manifold	manifold	PROPN
ejpam-5743	47	5	generalised	generalise	VERB
ejpam-5743	47	6	at	at	ADP
ejpam-5743	47	7	once	once	ADV
ejpam-5743	47	8	the	the	DET
ejpam-5743	47	9	poisson	poisson	NOUN
ejpam-5743	47	10	manifolds	manifold	VERB
ejpam-5743	47	11	,	,	PUNCT
ejpam-5743	47	12	the	the	DET
ejpam-5743	47	13	contact	contact	NOUN
ejpam-5743	47	14	manifolds	manifold	VERB
ejpam-5743	47	15	and	and	CCONJ
ejpam-5743	47	16	the	the	DET
ejpam-5743	47	17	locally	locally	ADV
ejpam-5743	47	18	conformal	conformal	ADJ
ejpam-5743	47	19	symplectic	symplectic	ADJ
ejpam-5743	47	20	manifolds	manifold	NOUN
ejpam-5743	47	21	.	.	PUNCT
ejpam-5743	48	1	furthermore	furthermore	ADV
ejpam-5743	48	2	,	,	PUNCT
ejpam-5743	48	3	if	if	SCONJ
ejpam-5743	48	4	g	g	PROPN
ejpam-5743	48	5	is	be	AUX
ejpam-5743	48	6	a	a	DET
ejpam-5743	48	7	hermitian	hermitian	ADJ
ejpam-5743	48	8	metric	metric	NOUN
ejpam-5743	48	9	on	on	ADP
ejpam-5743	48	10	m	m	PROPN
ejpam-5743	48	11	,	,	PUNCT
ejpam-5743	48	12	then	then	ADV
ejpam-5743	48	13	(	(	PUNCT
ejpam-5743	48	14	m	m	PROPN
ejpam-5743	48	15	,	,	PUNCT
ejpam-5743	48	16	g	g	PROPN
ejpam-5743	48	17	,	,	PUNCT
ejpam-5743	48	18	π	π	PROPN
ejpam-5743	48	19	,	,	PUNCT
ejpam-5743	48	20	e	e	NOUN
ejpam-5743	48	21	,	,	PUNCT
ejpam-5743	48	22	λ	λ	X
ejpam-5743	48	23	)	)	PUNCT
ejpam-5743	48	24	is	be	AUX
ejpam-5743	48	25	called	call	VERB
ejpam-5743	48	26	a	a	DET
ejpam-5743	48	27	pseudo	pseudo	NOUN
ejpam-5743	48	28	-	-	ADJ
ejpam-5743	48	29	riemannian	riemannian	ADJ
ejpam-5743	48	30	jacobi	jacobi	PROPN
ejpam-5743	48	31	manifold	manifold	NOUN
ejpam-5743	48	32	,	,	PUNCT
ejpam-5743	48	33	with	with	ADP
ejpam-5743	48	34	λ	λ	PROPN
ejpam-5743	48	35	a	a	DET
ejpam-5743	48	36	contact	contact	NOUN
ejpam-5743	48	37	form	form	NOUN
ejpam-5743	48	38	[	[	X
ejpam-5743	48	39	7	7	NUM
ejpam-5743	48	40	]	]	PUNCT
ejpam-5743	48	41	.	.	PUNCT
ejpam-5743	49	1	a	a	DET
ejpam-5743	49	2	correspondence	correspondence	NOUN
ejpam-5743	49	3	between	between	ADP
ejpam-5743	49	4	jacobi	jacobi	PROPN
ejpam-5743	49	5	and	and	CCONJ
ejpam-5743	49	6	poisson	poisson	PROPN
ejpam-5743	49	7	structures	structure	NOUN
ejpam-5743	49	8	is	be	AUX
ejpam-5743	49	9	given	give	VERB
ejpam-5743	49	10	by	by	ADP
ejpam-5743	49	11	the	the	DET
ejpam-5743	49	12	following	follow	VERB
ejpam-5743	49	13	fact	fact	NOUN
ejpam-5743	49	14	:	:	PUNCT
ejpam-5743	49	15	fact	fact	NOUN
ejpam-5743	49	16	.	.	PUNCT
ejpam-5743	50	1	(	(	PUNCT
ejpam-5743	50	2	π	π	X
ejpam-5743	50	3	,	,	PUNCT
ejpam-5743	50	4	e	e	NOUN
ejpam-5743	50	5	)	)	PUNCT
ejpam-5743	50	6	is	be	AUX
ejpam-5743	50	7	a	a	DET
ejpam-5743	50	8	jacobi	jacobi	PROPN
ejpam-5743	50	9	structure	structure	NOUN
ejpam-5743	50	10	on	on	ADP
ejpam-5743	50	11	m	m	PROPN
ejpam-5743	50	12	if	if	SCONJ
ejpam-5743	50	13	and	and	CCONJ
ejpam-5743	50	14	only	only	ADV
ejpam-5743	50	15	if	if	SCONJ
ejpam-5743	50	16	p	p	X
ejpam-5743	50	17	=	=	NOUN
ejpam-5743	50	18	e−t(π+	e−t(π+	PROPN
ejpam-5743	50	19	∂	∂	NOUN
ejpam-5743	50	20	∂t	∂t	PROPN
ejpam-5743	50	21	∧e	∧e	PROPN
ejpam-5743	50	22	)	)	PUNCT
ejpam-5743	50	23	is	be	AUX
ejpam-5743	50	24	a	a	DET
ejpam-5743	50	25	poisson	poisson	NOUN
ejpam-5743	50	26	structure	structure	NOUN
ejpam-5743	50	27	on	on	ADP
ejpam-5743	50	28	the	the	DET
ejpam-5743	50	29	cone	cone	NOUN
ejpam-5743	50	30	m	m	NOUN
ejpam-5743	50	31	=	=	NOUN
ejpam-5743	50	32	m	m	PROPN
ejpam-5743	50	33	×r∗	×r∗	ADJ
ejpam-5743	50	34	+	+	X
ejpam-5743	50	35	†	†	X
ejpam-5743	50	36	(	(	PUNCT
ejpam-5743	50	37	more	more	ADV
ejpam-5743	50	38	generally	generally	ADV
ejpam-5743	50	39	on	on	ADP
ejpam-5743	50	40	m	m	NOUN
ejpam-5743	50	41	×r	×r	NOUN
ejpam-5743	50	42	,	,	PUNCT
ejpam-5743	50	43	and	and	CCONJ
ejpam-5743	50	44	the	the	DET
ejpam-5743	50	45	poisson	poisson	NOUN
ejpam-5743	50	46	structure	structure	NOUN
ejpam-5743	50	47	†the	†the	DET
ejpam-5743	50	48	non	non	NOUN
ejpam-5743	50	49	-	-	NOUN
ejpam-5743	50	50	degeneracy	degeneracy	NOUN
ejpam-5743	50	51	of	of	ADP
ejpam-5743	50	52	the	the	DET
ejpam-5743	50	53	canonical	canonical	ADJ
ejpam-5743	50	54	metric	metric	NOUN
ejpam-5743	50	55	motivates	motivate	VERB
ejpam-5743	50	56	the	the	DET
ejpam-5743	50	57	choice	choice	NOUN
ejpam-5743	50	58	of	of	ADP
ejpam-5743	50	59	the	the	DET
ejpam-5743	50	60	cone	cone	NOUN
ejpam-5743	50	61	m	m	NOUN
ejpam-5743	50	62	×	×	NOUN
ejpam-5743	50	63	r∗	r∗	NOUN
ejpam-5743	51	1	+	+	PROPN
ejpam-5743	51	2	.	.	PUNCT
ejpam-5743	51	3	m.	m.	PROPN
ejpam-5743	51	4	s.	s.	PROPN
ejpam-5743	51	5	ali	ali	PROPN
ejpam-5743	51	6	et	et	PROPN
ejpam-5743	51	7	al	al	PROPN
ejpam-5743	51	8	.	.	PUNCT
ejpam-5743	51	9	/	/	SYM
ejpam-5743	51	10	eur	eur	PROPN
ejpam-5743	51	11	.	.	PUNCT
ejpam-5743	52	1	j.	j.	PROPN
ejpam-5743	52	2	pure	pure	PROPN
ejpam-5743	52	3	appl	appl	PROPN
ejpam-5743	52	4	.	.	PROPN
ejpam-5743	52	5	math	math	PROPN
ejpam-5743	52	6	,	,	PUNCT
ejpam-5743	52	7	18	18	NUM
ejpam-5743	52	8	(	(	PUNCT
ejpam-5743	52	9	3	3	NUM
ejpam-5743	52	10	)	)	PUNCT
ejpam-5743	52	11	(	(	PUNCT
ejpam-5743	52	12	2025	2025	NUM
ejpam-5743	52	13	)	)	PUNCT
ejpam-5743	52	14	,	,	PUNCT
ejpam-5743	52	15	5743	5743	NUM
ejpam-5743	52	16	3	3	NUM
ejpam-5743	52	17	of	of	ADP
ejpam-5743	52	18	14	14	NUM
ejpam-5743	52	19	is	be	AUX
ejpam-5743	52	20	homogeneous	homogeneous	ADJ
ejpam-5743	52	21	,	,	PUNCT
ejpam-5743	52	22	see	see	VERB
ejpam-5743	52	23	[	[	X
ejpam-5743	52	24	10	10	NUM
ejpam-5743	52	25	,	,	PUNCT
ejpam-5743	52	26	11	11	NUM
ejpam-5743	52	27	]	]	NUM
ejpam-5743	52	28	)	)	PUNCT
ejpam-5743	52	29	.	.	PUNCT
ejpam-5743	53	1	let	let	VERB
ejpam-5743	53	2	π	π	NOUN
ejpam-5743	53	3	=	=	PUNCT
ejpam-5743	53	4	∑	∑	PUNCT
ejpam-5743	53	5	1≤i	1≤i	X
ejpam-5743	53	6	<	<	X
ejpam-5743	53	7	j≤4	j≤4	PROPN
ejpam-5743	53	8	πij	πij	PROPN
ejpam-5743	53	9	∂	∂	NUM
ejpam-5743	53	10	∂xi	∂xi	PROPN
ejpam-5743	53	11	∧	∧	PROPN
ejpam-5743	53	12	∂	∂	ADJ
ejpam-5743	53	13	∂xj	∂xj	NOUN
ejpam-5743	53	14	be	be	VERB
ejpam-5743	53	15	a	a	DET
ejpam-5743	53	16	bivector	bivector	NOUN
ejpam-5743	53	17	field	field	NOUN
ejpam-5743	53	18	on	on	ADP
ejpam-5743	53	19	m	m	PROPN
ejpam-5743	53	20	.	.	PUNCT
ejpam-5743	54	1	then	then	ADV
ejpam-5743	54	2	by	by	ADP
ejpam-5743	54	3	definition	definition	NOUN
ejpam-5743	54	4	of	of	ADP
ejpam-5743	54	5	the	the	DET
ejpam-5743	54	6	schouten	schouten	ADJ
ejpam-5743	54	7	-	-	PUNCT
ejpam-5743	54	8	nijenhuis	nijenhuis	NOUN
ejpam-5743	54	9	bracket	bracket	NOUN
ejpam-5743	54	10	,	,	PUNCT
ejpam-5743	54	11	one	one	PRON
ejpam-5743	54	12	has	have	VERB
ejpam-5743	54	13	locally	locally	ADV
ejpam-5743	54	14	[	[	PUNCT
ejpam-5743	54	15	πij	πij	NOUN
ejpam-5743	54	16	∂	∂	NOUN
ejpam-5743	54	17	∂xi	∂xi	PROPN
ejpam-5743	54	18	∧	∧	PROPN
ejpam-5743	54	19	∂	∂	NUM
ejpam-5743	54	20	∂xj	∂xj	NOUN
ejpam-5743	54	21	,	,	PUNCT
ejpam-5743	54	22	πsk	πsk	PROPN
ejpam-5743	54	23	∂	∂	NOUN
ejpam-5743	54	24	∂xs	∂xs	PROPN
ejpam-5743	54	25	∧	∧	PROPN
ejpam-5743	54	26	∂	∂	NUM
ejpam-5743	54	27	∂xk	∂xk	PROPN
ejpam-5743	54	28	]	]	PUNCT
ejpam-5743	54	29	=	=	PUNCT
ejpam-5743	54	30	πij	πij	PROPN
ejpam-5743	54	31	∂π	∂π	PROPN
ejpam-5743	54	32	sk	sk	ADP
ejpam-5743	54	33	∂xi	∂xi	PROPN
ejpam-5743	54	34	∂	∂	NUM
ejpam-5743	54	35	∂xs	∂xs	PROPN
ejpam-5743	54	36	∧	∧	PROPN
ejpam-5743	54	37	∂	∂	NUM
ejpam-5743	54	38	∂xk	∂xk	PROPN
ejpam-5743	54	39	∧	∧	PROPN
ejpam-5743	54	40	∂	∂	NUM
ejpam-5743	54	41	∂xj	∂xj	NOUN
ejpam-5743	54	42	−	−	PROPN
ejpam-5743	54	43	πsk	πsk	NOUN
ejpam-5743	54	44	∂π	∂π	PROPN
ejpam-5743	54	45	ij	ij	NUM
ejpam-5743	54	46	∂xs	∂xs	PROPN
ejpam-5743	54	47	∂	∂	NUM
ejpam-5743	54	48	∂xi	∂xi	PROPN
ejpam-5743	54	49	∧	∧	PROPN
ejpam-5743	54	50	∂	∂	NUM
ejpam-5743	54	51	∂xk	∂xk	PROPN
ejpam-5743	54	52	∧	∧	PROPN
ejpam-5743	54	53	∂	∂	NUM
ejpam-5743	54	54	∂xj	∂xj	NOUN
ejpam-5743	54	55	+	+	PUNCT
ejpam-5743	54	56	πsk	πsk	ADJ
ejpam-5743	54	57	∂π	∂π	PROPN
ejpam-5743	54	58	ij	ij	NUM
ejpam-5743	54	59	∂xk	∂xk	PROPN
ejpam-5743	54	60	∂	∂	NUM
ejpam-5743	54	61	∂xs	∂xs	PROPN
ejpam-5743	54	62	∧	∧	PROPN
ejpam-5743	54	63	∂	∂	NUM
ejpam-5743	54	64	∂xi	∂xi	PROPN
ejpam-5743	54	65	∧	∧	PROPN
ejpam-5743	54	66	∂	∂	NUM
ejpam-5743	54	67	∂xj	∂xj	NOUN
ejpam-5743	54	68	−	−	PROPN
ejpam-5743	54	69	πij	πij	PROPN
ejpam-5743	54	70	∂π	∂π	PROPN
ejpam-5743	54	71	sk	sk	ADP
ejpam-5743	54	72	∂xj	∂xj	NOUN
ejpam-5743	54	73	∂	∂	NUM
ejpam-5743	55	1	∂xi	∂xi	PROPN
ejpam-5743	56	1	∧	∧	PROPN
ejpam-5743	56	2	∂	∂	NUM
ejpam-5743	56	3	∂xs	∂xs	PROPN
ejpam-5743	56	4	∧	∧	PROPN
ejpam-5743	56	5	∂	∂	NUM
ejpam-5743	56	6	∂xk	∂xk	PROPN
ejpam-5743	56	7	.	.	PUNCT
ejpam-5743	57	1	(	(	PUNCT
ejpam-5743	57	2	2	2	X
ejpam-5743	57	3	)	)	PUNCT
ejpam-5743	57	4	theorem	theorem	NOUN
ejpam-5743	57	5	1	1	NUM
ejpam-5743	57	6	.	.	PUNCT
ejpam-5743	58	1	let	let	VERB
ejpam-5743	58	2	(	(	PUNCT
ejpam-5743	58	3	m	m	PROPN
ejpam-5743	58	4	,	,	PUNCT
ejpam-5743	58	5	π	π	PROPN
ejpam-5743	58	6	,	,	PUNCT
ejpam-5743	58	7	e	e	NOUN
ejpam-5743	58	8	)	)	PUNCT
ejpam-5743	58	9	be	be	AUX
ejpam-5743	58	10	a	a	DET
ejpam-5743	58	11	jacobi	jacobi	PROPN
ejpam-5743	58	12	manifold	manifold	NOUN
ejpam-5743	58	13	.	.	PUNCT
ejpam-5743	59	1	if	if	SCONJ
ejpam-5743	59	2	the	the	DET
ejpam-5743	59	3	pair	pair	NOUN
ejpam-5743	59	4	(	(	PUNCT
ejpam-5743	59	5	π	π	X
ejpam-5743	59	6	,	,	PUNCT
ejpam-5743	59	7	e	e	NOUN
ejpam-5743	59	8	)	)	PUNCT
ejpam-5743	59	9	is	be	AUX
ejpam-5743	59	10	a	a	DET
ejpam-5743	59	11	jacobi	jacobi	PROPN
ejpam-5743	59	12	structure	structure	NOUN
ejpam-5743	59	13	on	on	ADP
ejpam-5743	59	14	m	m	PROPN
ejpam-5743	59	15	then	then	ADV
ejpam-5743	59	16	p	p	NOUN
ejpam-5743	59	17	=	=	NOUN
ejpam-5743	59	18	e−t(π	e−t(π	NOUN
ejpam-5743	59	19	+	+	CCONJ
ejpam-5743	59	20	∂t	∂t	PROPN
ejpam-5743	59	21	∧	∧	PROPN
ejpam-5743	59	22	e	e	NOUN
ejpam-5743	59	23	)	)	PUNCT
ejpam-5743	59	24	is	be	AUX
ejpam-5743	59	25	a	a	DET
ejpam-5743	59	26	poisson	poisson	NOUN
ejpam-5743	59	27	structure	structure	NOUN
ejpam-5743	59	28	on	on	ADP
ejpam-5743	59	29	the	the	DET
ejpam-5743	59	30	cone	cone	NOUN
ejpam-5743	59	31	m	m	NOUN
ejpam-5743	59	32	=	=	ADJ
ejpam-5743	59	33	m	m	VERB
ejpam-5743	59	34	×	×	ADJ
ejpam-5743	59	35	r∗	r∗	NOUN
ejpam-5743	60	1	+	+	NOUN
ejpam-5743	60	2	.	.	PUNCT
ejpam-5743	60	3	proof	proof	NOUN
ejpam-5743	60	4	.	.	PUNCT
ejpam-5743	61	1	it	it	PRON
ejpam-5743	61	2	’s	’	VERB
ejpam-5743	61	3	clear	clear	ADJ
ejpam-5743	61	4	that	that	SCONJ
ejpam-5743	61	5	(	(	PUNCT
ejpam-5743	61	6	π	π	X
ejpam-5743	61	7	,	,	PUNCT
ejpam-5743	61	8	e	e	NOUN
ejpam-5743	61	9	)	)	PUNCT
ejpam-5743	61	10	satisfies	satisfie	NOUN
ejpam-5743	61	11	(	(	PUNCT
ejpam-5743	61	12	1	1	NUM
ejpam-5743	61	13	)	)	PUNCT
ejpam-5743	61	14	.	.	PUNCT
ejpam-5743	62	1	now	now	ADV
ejpam-5743	62	2	it	it	PRON
ejpam-5743	62	3	suffices	suffice	VERB
ejpam-5743	62	4	to	to	PART
ejpam-5743	62	5	prove	prove	VERB
ejpam-5743	62	6	that	that	SCONJ
ejpam-5743	62	7	[	[	X
ejpam-5743	62	8	p	p	X
ejpam-5743	62	9	,	,	PUNCT
ejpam-5743	62	10	p	p	X
ejpam-5743	62	11	]	]	X
ejpam-5743	62	12	=	=	SYM
ejpam-5743	62	13	0	0	NUM
ejpam-5743	62	14	,	,	PUNCT
ejpam-5743	62	15	where	where	SCONJ
ejpam-5743	62	16	p	p	NOUN
ejpam-5743	62	17	=	=	NOUN
ejpam-5743	62	18	e−tπ	e−tπ	NOUN
ejpam-5743	62	19	+	+	CCONJ
ejpam-5743	62	20	e−t∂t	e−t∂t	PROPN
ejpam-5743	62	21	∧	∧	PROPN
ejpam-5743	62	22	e.	e.	PROPN
ejpam-5743	62	23	by	by	ADP
ejpam-5743	62	24	(	(	PUNCT
ejpam-5743	62	25	2	2	NUM
ejpam-5743	62	26	)	)	PUNCT
ejpam-5743	62	27	,	,	PUNCT
ejpam-5743	62	28	we	we	PRON
ejpam-5743	62	29	get	get	VERB
ejpam-5743	62	30	[	[	X
ejpam-5743	62	31	p	p	X
ejpam-5743	62	32	,	,	PUNCT
ejpam-5743	62	33	p	p	X
ejpam-5743	62	34	]	]	X
ejpam-5743	62	35	=	=	PUNCT
ejpam-5743	63	1	[	[	X
ejpam-5743	63	2	e−tπ	e−tπ	NOUN
ejpam-5743	63	3	+	+	CCONJ
ejpam-5743	63	4	e−t∂t	e−t∂t	PROPN
ejpam-5743	63	5	∧	∧	PROPN
ejpam-5743	63	6	e	e	NOUN
ejpam-5743	63	7	,	,	PUNCT
ejpam-5743	63	8	e−tπ	e−tπ	NOUN
ejpam-5743	63	9	+	+	CCONJ
ejpam-5743	63	10	e−t∂t	e−t∂t	PROPN
ejpam-5743	63	11	∧	∧	PROPN
ejpam-5743	63	12	e	e	NOUN
ejpam-5743	63	13	]	]	X
ejpam-5743	63	14	=	=	PUNCT
ejpam-5743	64	1	[	[	X
ejpam-5743	64	2	e−tπ	e−tπ	NOUN
ejpam-5743	64	3	,	,	PUNCT
ejpam-5743	64	4	e−tπ	e−tπ	NOUN
ejpam-5743	64	5	]	]	PUNCT
ejpam-5743	65	1	+	+	CCONJ
ejpam-5743	65	2	[	[	X
ejpam-5743	65	3	e−tπ	e−tπ	NOUN
ejpam-5743	65	4	,	,	PUNCT
ejpam-5743	65	5	e−t∂t	e−t∂t	PROPN
ejpam-5743	65	6	∧	∧	PROPN
ejpam-5743	65	7	e	e	X
ejpam-5743	65	8	]	]	X
ejpam-5743	65	9	+	+	CCONJ
ejpam-5743	66	1	[	[	X
ejpam-5743	66	2	e−t∂t	e−t∂t	PROPN
ejpam-5743	66	3	∧	∧	PROPN
ejpam-5743	66	4	e	e	NOUN
ejpam-5743	66	5	,	,	PUNCT
ejpam-5743	66	6	e−tπ	e−tπ	NOUN
ejpam-5743	66	7	]	]	PUNCT
ejpam-5743	66	8	+	+	CCONJ
ejpam-5743	67	1	[	[	X
ejpam-5743	67	2	e−t∂t	e−t∂t	PROPN
ejpam-5743	67	3	∧	∧	PROPN
ejpam-5743	67	4	e	e	NOUN
ejpam-5743	67	5	,	,	PUNCT
ejpam-5743	67	6	e−t∂t	e−t∂t	PROPN
ejpam-5743	67	7	∧	∧	PROPN
ejpam-5743	67	8	e	e	X
ejpam-5743	67	9	]	]	X
ejpam-5743	67	10	=	=	SYM
ejpam-5743	67	11	e−2t[π	e−2t[π	NOUN
ejpam-5743	67	12	,	,	PUNCT
ejpam-5743	67	13	π	π	X
ejpam-5743	67	14	]	]	X
ejpam-5743	67	15	+	+	CCONJ
ejpam-5743	67	16	2[e−t∂t	2[e−t∂t	NUM
ejpam-5743	67	17	∧	∧	PROPN
ejpam-5743	67	18	e	e	NOUN
ejpam-5743	67	19	,	,	PUNCT
ejpam-5743	67	20	e−tπ	e−tπ	NOUN
ejpam-5743	67	21	]	]	X
ejpam-5743	67	22	=	=	SYM
ejpam-5743	67	23	e−2t[π	e−2t[π	NOUN
ejpam-5743	67	24	,	,	PUNCT
ejpam-5743	67	25	π	π	X
ejpam-5743	67	26	]	]	X
ejpam-5743	67	27	+	+	CCONJ
ejpam-5743	67	28	2e−t∂t[e	2e−t∂t[e	ADJ
ejpam-5743	67	29	,	,	PUNCT
ejpam-5743	67	30	e−tπ	e−tπ	NOUN
ejpam-5743	67	31	]	]	PUNCT
ejpam-5743	67	32	+	+	CCONJ
ejpam-5743	67	33	2[e−t∂t	2[e−t∂t	NUM
ejpam-5743	67	34	,	,	PUNCT
ejpam-5743	67	35	e	e	PROPN
ejpam-5743	67	36	−tπ	−tπ	X
ejpam-5743	67	37	]	]	X
ejpam-5743	67	38	∧	∧	PROPN
ejpam-5743	67	39	e.	e.	PROPN
ejpam-5743	67	40	since	since	SCONJ
ejpam-5743	67	41	[	[	X
ejpam-5743	67	42	e−tπ	e−tπ	NOUN
ejpam-5743	67	43	,	,	PUNCT
ejpam-5743	67	44	e−t∂t	e−t∂t	PROPN
ejpam-5743	67	45	∧	∧	PROPN
ejpam-5743	67	46	e	e	X
ejpam-5743	67	47	]	]	X
ejpam-5743	67	48	=	=	PUNCT
ejpam-5743	68	1	[	[	X
ejpam-5743	68	2	e−t∂t	e−t∂t	PROPN
ejpam-5743	68	3	∧	∧	PROPN
ejpam-5743	68	4	e	e	NOUN
ejpam-5743	68	5	,	,	PUNCT
ejpam-5743	68	6	e−tπ	e−tπ	NOUN
ejpam-5743	68	7	]	]	PUNCT
ejpam-5743	68	8	and	and	CCONJ
ejpam-5743	68	9	[	[	X
ejpam-5743	68	10	e−t∂t	e−t∂t	PROPN
ejpam-5743	68	11	∧	∧	PROPN
ejpam-5743	68	12	e	e	NOUN
ejpam-5743	68	13	,	,	PUNCT
ejpam-5743	68	14	e−t∂t	e−t∂t	PROPN
ejpam-5743	68	15	∧	∧	PROPN
ejpam-5743	68	16	e	e	X
ejpam-5743	68	17	]	]	X
ejpam-5743	68	18	=	=	SYM
ejpam-5743	68	19	0	0	NUM
ejpam-5743	68	20	,	,	PUNCT
ejpam-5743	68	21	one	one	PRON
ejpam-5743	68	22	has	have	VERB
ejpam-5743	68	23	[	[	X
ejpam-5743	68	24	p	p	X
ejpam-5743	68	25	,	,	PUNCT
ejpam-5743	68	26	p	p	X
ejpam-5743	68	27	]	]	X
ejpam-5743	68	28	=	=	SYM
ejpam-5743	68	29	e−2t[π	e−2t[π	NOUN
ejpam-5743	68	30	,	,	PUNCT
ejpam-5743	68	31	π	π	X
ejpam-5743	68	32	]	]	X
ejpam-5743	69	1	+	+	CCONJ
ejpam-5743	70	1	2e−2t∂t	2e−2t∂t	NUM
ejpam-5743	70	2	∧	∧	NOUN
ejpam-5743	70	3	[	[	X
ejpam-5743	70	4	e	e	NOUN
ejpam-5743	70	5	,	,	PUNCT
ejpam-5743	70	6	π]−	π]−	PUNCT
ejpam-5743	70	7	2e−2tπ	2e−2tπ	NUM
ejpam-5743	70	8	∧	∧	NOUN
ejpam-5743	70	9	e	e	X
ejpam-5743	70	10	=	=	SYM
ejpam-5743	70	11	e−2	e−2	PROPN
ejpam-5743	70	12	t	t	PROPN
ejpam-5743	70	13	(	(	PUNCT
ejpam-5743	70	14	[	[	X
ejpam-5743	70	15	π	π	X
ejpam-5743	70	16	,	,	PUNCT
ejpam-5743	70	17	π]−	π]−	X
ejpam-5743	70	18	2π	2π	PROPN
ejpam-5743	70	19	∧	∧	PROPN
ejpam-5743	70	20	e	e	NOUN
ejpam-5743	70	21	)	)	PUNCT
ejpam-5743	70	22	+	+	CCONJ
ejpam-5743	70	23	2e−2t∂t[e	2e−2t∂t[e	NUM
ejpam-5743	70	24	,	,	PUNCT
ejpam-5743	70	25	π	π	NOUN
ejpam-5743	70	26	]	]	X
ejpam-5743	70	27	.	.	PUNCT
ejpam-5743	71	1	so	so	ADV
ejpam-5743	71	2	by	by	ADP
ejpam-5743	71	3	equation	equation	NOUN
ejpam-5743	71	4	(	(	PUNCT
ejpam-5743	71	5	1	1	NUM
ejpam-5743	71	6	)	)	PUNCT
ejpam-5743	71	7	;	;	PUNCT
ejpam-5743	72	1	[	[	X
ejpam-5743	72	2	p	p	X
ejpam-5743	72	3	,	,	PUNCT
ejpam-5743	72	4	p	p	X
ejpam-5743	72	5	]	]	X
ejpam-5743	72	6	=	=	SYM
ejpam-5743	72	7	0	0	NUM
ejpam-5743	72	8	⇐	⇐	ADJ
ejpam-5743	72	9	⇒	⇒	PROPN
ejpam-5743	72	10	[	[	X
ejpam-5743	72	11	π	π	X
ejpam-5743	72	12	,	,	PUNCT
ejpam-5743	72	13	π]−	π]−	X
ejpam-5743	72	14	2π	2π	NUM
ejpam-5743	72	15	∧	∧	NOUN
ejpam-5743	72	16	e	e	NOUN
ejpam-5743	72	17	=	=	SYM
ejpam-5743	72	18	0	0	PROPN
ejpam-5743	72	19	and	and	CCONJ
ejpam-5743	72	20	[	[	X
ejpam-5743	72	21	e	e	X
ejpam-5743	72	22	,	,	PUNCT
ejpam-5743	72	23	π	π	X
ejpam-5743	72	24	]	]	X
ejpam-5743	72	25	=	=	SYM
ejpam-5743	72	26	0	0	X
ejpam-5743	72	27	.	.	PUNCT
ejpam-5743	73	1	let	let	VERB
ejpam-5743	73	2	’s	’s	NOUN
ejpam-5743	73	3	denote	denote	VERB
ejpam-5743	73	4	by	by	ADP
ejpam-5743	73	5	♯π	♯π	PROPN
ejpam-5743	73	6	:	:	PUNCT
ejpam-5743	73	7	t	t	PROPN
ejpam-5743	73	8	∗m	∗m	PROPN
ejpam-5743	73	9	→	→	PUNCT
ejpam-5743	73	10	tm	tm	ADP
ejpam-5743	73	11	the	the	DET
ejpam-5743	73	12	anchor	anchor	NOUN
ejpam-5743	73	13	map	map	NOUN
ejpam-5743	73	14	given	give	VERB
ejpam-5743	73	15	by	by	ADP
ejpam-5743	73	16	β(♯π(α	β(♯π(α	NUM
ejpam-5743	73	17	)	)	PUNCT
ejpam-5743	73	18	)	)	PUNCT
ejpam-5743	74	1	=	=	SYM
ejpam-5743	74	2	π(α	π(α	NOUN
ejpam-5743	74	3	,	,	PUNCT
ejpam-5743	74	4	β	β	NOUN
ejpam-5743	74	5	)	)	PUNCT
ejpam-5743	74	6	,	,	PUNCT
ejpam-5743	74	7	and	and	CCONJ
ejpam-5743	74	8	by	by	ADP
ejpam-5743	74	9	[	[	X
ejpam-5743	74	10	,	,	PUNCT
ejpam-5743	74	11	]	]	X
ejpam-5743	74	12	π	π	X
ejpam-5743	74	13	the	the	DET
ejpam-5743	74	14	koszul	koszul	ADJ
ejpam-5743	74	15	bracket	bracket	NOUN
ejpam-5743	74	16	given	give	VERB
ejpam-5743	74	17	by	by	ADP
ejpam-5743	74	18	[	[	X
ejpam-5743	74	19	α	α	X
ejpam-5743	74	20	,	,	PUNCT
ejpam-5743	74	21	β]π	β]π	NOUN
ejpam-5743	74	22	=	=	SYM
ejpam-5743	75	1	l♯π(α)β	l♯π(α)β	ADJ
ejpam-5743	75	2	−	−	PROPN
ejpam-5743	75	3	l♯π(β)α−	l♯π(β)α−	NOUN
ejpam-5743	75	4	d(π(α	d(π(α	NOUN
ejpam-5743	75	5	,	,	PUNCT
ejpam-5743	75	6	β	β	NOUN
ejpam-5743	75	7	)	)	PUNCT
ejpam-5743	75	8	)	)	PUNCT
ejpam-5743	75	9	,	,	PUNCT
ejpam-5743	75	10	α	α	X
ejpam-5743	75	11	,	,	PUNCT
ejpam-5743	75	12	β	β	X
ejpam-5743	75	13	∈	∈	PROPN
ejpam-5743	75	14	ω1(m	ω1(m	NUM
ejpam-5743	75	15	)	)	PUNCT
ejpam-5743	75	16	,	,	PUNCT
ejpam-5743	75	17	and	and	CCONJ
ejpam-5743	75	18	its	its	PRON
ejpam-5743	75	19	inverse	inverse	NOUN
ejpam-5743	75	20	♭	♭	INTJ
ejpam-5743	75	21	g	g	NOUN
ejpam-5743	75	22	:	:	PUNCT
ejpam-5743	75	23	tm	tm	PROPN
ejpam-5743	75	24	→	→	SYM
ejpam-5743	75	25	t	t	PROPN
ejpam-5743	75	26	∗m	∗m	NOUN
ejpam-5743	75	27	taking	take	VERB
ejpam-5743	75	28	x	x	PROPN
ejpam-5743	75	29	7→	7→	NUM
ejpam-5743	75	30	x	x	SYM
ejpam-5743	75	31	♭	♭	NOUN
ejpam-5743	75	32	g	g	NOUN
ejpam-5743	75	33	:	:	PUNCT
ejpam-5743	75	34	=	=	SYM
ejpam-5743	75	35	g(x	g(x	X
ejpam-5743	75	36	,	,	PUNCT
ejpam-5743	75	37	·	·	PUNCT
ejpam-5743	75	38	)	)	PUNCT
ejpam-5743	75	39	,	,	PUNCT
ejpam-5743	75	40	that	that	SCONJ
ejpam-5743	75	41	for	for	ADP
ejpam-5743	75	42	x	x	X
ejpam-5743	75	43	,	,	PUNCT
ejpam-5743	75	44	y	y	PROPN
ejpam-5743	75	45	∈	∈	PROPN
ejpam-5743	75	46	tm	tm	NOUN
ejpam-5743	75	47	and	and	CCONJ
ejpam-5743	75	48	α	α	PROPN
ejpam-5743	75	49	,	,	PUNCT
ejpam-5743	75	50	β	β	X
ejpam-5743	75	51	∈	∈	NOUN
ejpam-5743	75	52	ω1(m	ω1(m	NUM
ejpam-5743	75	53	)	)	PUNCT
ejpam-5743	75	54	satisfies	satisfy	VERB
ejpam-5743	75	55	g(x	g(x	NOUN
ejpam-5743	75	56	♭	♭	PROPN
ejpam-5743	75	57	g	g	NOUN
ejpam-5743	75	58	,	,	PUNCT
ejpam-5743	75	59	y	y	PROPN
ejpam-5743	75	60	♭	♭	PROPN
ejpam-5743	75	61	g	g	PROPN
ejpam-5743	75	62	)	)	PUNCT
ejpam-5743	75	63	:	:	PUNCT
ejpam-5743	76	1	=	=	SYM
ejpam-5743	76	2	g(x	g(x	PROPN
ejpam-5743	76	3	,	,	PUNCT
ejpam-5743	76	4	y	y	PROPN
ejpam-5743	76	5	)	)	PUNCT
ejpam-5743	76	6	=	=	PUNCT
ejpam-5743	76	7	x	x	PUNCT
ejpam-5743	76	8	♭	♭	PROPN
ejpam-5743	76	9	g(y	g(y	NOUN
ejpam-5743	76	10	)	)	PUNCT
ejpam-5743	76	11	and	and	CCONJ
ejpam-5743	76	12	g∗(α	g∗(α	PROPN
ejpam-5743	76	13	,	,	PUNCT
ejpam-5743	76	14	β	β	NOUN
ejpam-5743	76	15	)	)	PUNCT
ejpam-5743	76	16	:	:	PUNCT
ejpam-5743	76	17	=	=	SYM
ejpam-5743	76	18	g(♯π(α	g(♯π(α	X
ejpam-5743	76	19	)	)	PUNCT
ejpam-5743	76	20	,	,	PUNCT
ejpam-5743	76	21	♯π(β	♯π(β	PROPN
ejpam-5743	76	22	)	)	PUNCT
ejpam-5743	76	23	)	)	PUNCT
ejpam-5743	76	24	=	=	SYM
ejpam-5743	76	25	α(♯π(β	α(♯π(β	NOUN
ejpam-5743	76	26	)	)	PUNCT
ejpam-5743	76	27	)	)	PUNCT
ejpam-5743	76	28	,	,	PUNCT
ejpam-5743	76	29	m.	m.	NOUN
ejpam-5743	76	30	s.	s.	PROPN
ejpam-5743	76	31	ali	ali	PROPN
ejpam-5743	76	32	et	et	PROPN
ejpam-5743	76	33	al	al	PROPN
ejpam-5743	76	34	.	.	PUNCT
ejpam-5743	76	35	/	/	SYM
ejpam-5743	76	36	eur	eur	PROPN
ejpam-5743	76	37	.	.	PUNCT
ejpam-5743	77	1	j.	j.	PROPN
ejpam-5743	77	2	pure	pure	PROPN
ejpam-5743	77	3	appl	appl	PROPN
ejpam-5743	77	4	.	.	PROPN
ejpam-5743	77	5	math	math	PROPN
ejpam-5743	77	6	,	,	PUNCT
ejpam-5743	77	7	18	18	NUM
ejpam-5743	77	8	(	(	PUNCT
ejpam-5743	77	9	3	3	NUM
ejpam-5743	77	10	)	)	PUNCT
ejpam-5743	77	11	(	(	PUNCT
ejpam-5743	77	12	2025	2025	NUM
ejpam-5743	77	13	)	)	PUNCT
ejpam-5743	77	14	,	,	PUNCT
ejpam-5743	77	15	5743	5743	NUM
ejpam-5743	77	16	4	4	NUM
ejpam-5743	77	17	of	of	ADP
ejpam-5743	77	18	14	14	NUM
ejpam-5743	77	19	where	where	SCONJ
ejpam-5743	77	20	g∗	g∗	PROPN
ejpam-5743	77	21	has	have	VERB
ejpam-5743	77	22	an	an	DET
ejpam-5743	77	23	associated	associated	ADJ
ejpam-5743	77	24	dual	dual	ADJ
ejpam-5743	77	25	metric	metric	ADJ
ejpam-5743	77	26	g.	g.	NOUN
ejpam-5743	77	27	let	let	VERB
ejpam-5743	77	28	’s	’s	NOUN
ejpam-5743	77	29	consider	consider	VERB
ejpam-5743	77	30	the	the	DET
ejpam-5743	77	31	map	map	NOUN
ejpam-5743	77	32	bundle	bundle	NOUN
ejpam-5743	77	33	(	(	PUNCT
ejpam-5743	77	34	see	see	VERB
ejpam-5743	77	35	e.g.	e.g.	ADV
ejpam-5743	77	36	[	[	X
ejpam-5743	77	37	7	7	NUM
ejpam-5743	77	38	]	]	SYM
ejpam-5743	77	39	)	)	PUNCT
ejpam-5743	77	40	♯π	♯π	PROPN
ejpam-5743	77	41	,	,	PUNCT
ejpam-5743	77	42	e	e	NOUN
ejpam-5743	77	43	:	:	PUNCT
ejpam-5743	77	44	t	t	PROPN
ejpam-5743	78	1	∗m	∗m	PROPN
ejpam-5743	78	2	→	→	SYM
ejpam-5743	78	3	tm	tm	PROPN
ejpam-5743	78	4	,	,	PUNCT
ejpam-5743	78	5	by	by	ADP
ejpam-5743	78	6	♯π	♯π	PROPN
ejpam-5743	78	7	,	,	PUNCT
ejpam-5743	78	8	e(α	e(α	NUM
ejpam-5743	78	9	)	)	PUNCT
ejpam-5743	78	10	=	=	SYM
ejpam-5743	78	11	♯π(α	♯π(α	NOUN
ejpam-5743	78	12	)	)	PUNCT
ejpam-5743	78	13	+	+	CCONJ
ejpam-5743	78	14	α(e)e	α(e)e	NOUN
ejpam-5743	78	15	,	,	PUNCT
ejpam-5743	78	16	and	and	CCONJ
ejpam-5743	78	17	,	,	PUNCT
ejpam-5743	78	18	for	for	ADP
ejpam-5743	78	19	λ	λ	PROPN
ejpam-5743	78	20	∈	∈	PROPN
ejpam-5743	78	21	ω1(m	ω1(m	NUM
ejpam-5743	78	22	)	)	PUNCT
ejpam-5743	78	23	a	a	DET
ejpam-5743	78	24	1	1	NUM
ejpam-5743	78	25	-	-	PUNCT
ejpam-5743	78	26	form	form	NOUN
ejpam-5743	78	27	,	,	PUNCT
ejpam-5743	78	28	the	the	DET
ejpam-5743	78	29	map	map	NOUN
ejpam-5743	78	30	[	[	X
ejpam-5743	78	31	·	·	PUNCT
ejpam-5743	78	32	,	,	PUNCT
ejpam-5743	78	33	·	·	PUNCT
ejpam-5743	78	34	]	]	X
ejpam-5743	78	35	λπ	λπ	X
ejpam-5743	78	36	,	,	PUNCT
ejpam-5743	78	37	e	e	NOUN
ejpam-5743	78	38	:	:	PUNCT
ejpam-5743	78	39	ω1(m)×	ω1(m)×	PROPN
ejpam-5743	78	40	ω1(m	ω1(m	NUM
ejpam-5743	78	41	)	)	PUNCT
ejpam-5743	78	42	→	→	SYM
ejpam-5743	78	43	ω1(m	ω1(m	X
ejpam-5743	78	44	)	)	PUNCT
ejpam-5743	78	45	defined	define	VERB
ejpam-5743	78	46	by	by	ADP
ejpam-5743	78	47	[	[	X
ejpam-5743	78	48	α	α	X
ejpam-5743	78	49	,	,	PUNCT
ejpam-5743	78	50	β]λπ	β]λπ	NOUN
ejpam-5743	78	51	,	,	PUNCT
ejpam-5743	78	52	e	e	NOUN
ejpam-5743	78	53	:	:	PUNCT
ejpam-5743	78	54	=	=	SYM
ejpam-5743	79	1	[	[	X
ejpam-5743	79	2	α	α	X
ejpam-5743	79	3	,	,	PUNCT
ejpam-5743	79	4	β]π	β]π	ADJ
ejpam-5743	79	5	+	+	CCONJ
ejpam-5743	79	6	α(e	α(e	NOUN
ejpam-5743	79	7	)	)	PUNCT
ejpam-5743	80	1	(	(	PUNCT
ejpam-5743	80	2	leβ	leβ	PROPN
ejpam-5743	80	3	−	−	NUM
ejpam-5743	80	4	β	β	NOUN
ejpam-5743	80	5	)	)	PUNCT
ejpam-5743	80	6	−	−	PROPN
ejpam-5743	80	7	β(e	β(e	NOUN
ejpam-5743	80	8	)	)	PUNCT
ejpam-5743	80	9	(	(	PUNCT
ejpam-5743	80	10	leα−	leα−	NOUN
ejpam-5743	80	11	α	α	NOUN
ejpam-5743	80	12	)	)	PUNCT
ejpam-5743	80	13	−	−	PROPN
ejpam-5743	81	1	π(α	π(α	NOUN
ejpam-5743	81	2	,	,	PUNCT
ejpam-5743	81	3	β)λ	β)λ	NOUN
ejpam-5743	81	4	,	,	PUNCT
ejpam-5743	81	5	where	where	SCONJ
ejpam-5743	81	6	ω1(m	ω1(m	X
ejpam-5743	81	7	)	)	PUNCT
ejpam-5743	81	8	denotes	denote	VERB
ejpam-5743	81	9	the	the	DET
ejpam-5743	81	10	space	space	NOUN
ejpam-5743	81	11	of	of	ADP
ejpam-5743	81	12	differential	differential	ADJ
ejpam-5743	81	13	1	1	NUM
ejpam-5743	81	14	-	-	PUNCT
ejpam-5743	81	15	forms	form	NOUN
ejpam-5743	81	16	on	on	ADP
ejpam-5743	81	17	m	m	PROPN
ejpam-5743	81	18	.	.	PUNCT
ejpam-5743	82	1	recall	recall	VERB
ejpam-5743	82	2	that	that	PRON
ejpam-5743	82	3	for	for	SCONJ
ejpam-5743	82	4	the	the	DET
ejpam-5743	82	5	differential	differential	NOUN
ejpam-5743	82	6	forms	form	NOUN
ejpam-5743	82	7	α	α	NOUN
ejpam-5743	82	8	,	,	PUNCT
ejpam-5743	82	9	β	β	X
ejpam-5743	82	10	,	,	PUNCT
ejpam-5743	82	11	γ	γ	PROPN
ejpam-5743	82	12	∈	∈	PROPN
ejpam-5743	82	13	ω1(m	ω1(m	NUM
ejpam-5743	82	14	)	)	PUNCT
ejpam-5743	82	15	we	we	PRON
ejpam-5743	82	16	have	have	VERB
ejpam-5743	82	17	γ	γ	X
ejpam-5743	82	18	(	(	PUNCT
ejpam-5743	82	19	♯π([α	♯π([α	PROPN
ejpam-5743	82	20	,	,	PUNCT
ejpam-5743	82	21	β]π)−	β]π)−	PUNCT
ejpam-5743	83	1	[	[	X
ejpam-5743	83	2	♯π(α	♯π(α	NOUN
ejpam-5743	83	3	)	)	PUNCT
ejpam-5743	83	4	,	,	PUNCT
ejpam-5743	83	5	♯π(β	♯π(β	PROPN
ejpam-5743	83	6	)	)	PUNCT
ejpam-5743	83	7	]	]	PUNCT
ejpam-5743	83	8	)	)	PUNCT
ejpam-5743	84	1	=	=	SYM
ejpam-5743	85	1	1	1	NUM
ejpam-5743	85	2	2	2	NUM
ejpam-5743	86	1	[	[	X
ejpam-5743	86	2	π	π	PROPN
ejpam-5743	86	3	,	,	PUNCT
ejpam-5743	86	4	π](α	π](α	NOUN
ejpam-5743	86	5	,	,	PUNCT
ejpam-5743	86	6	β	β	X
ejpam-5743	86	7	,	,	PUNCT
ejpam-5743	86	8	γ	γ	NOUN
ejpam-5743	86	9	)	)	PUNCT
ejpam-5743	86	10	,	,	PUNCT
ejpam-5743	86	11	and	and	CCONJ
ejpam-5743	86	12	for	for	ADP
ejpam-5743	86	13	any	any	DET
ejpam-5743	86	14	functions	function	NOUN
ejpam-5743	86	15	f1	f1	NOUN
ejpam-5743	86	16	,	,	PUNCT
ejpam-5743	86	17	f2	f2	PROPN
ejpam-5743	86	18	,	,	PUNCT
ejpam-5743	86	19	f3	f3	PROPN
ejpam-5743	86	20	∈	∈	PROPN
ejpam-5743	86	21	c∞(m	c∞(m	NOUN
ejpam-5743	86	22	)	)	PUNCT
ejpam-5743	86	23	one	one	NOUN
ejpam-5743	86	24	has	have	VERB
ejpam-5743	86	25	[	[	X
ejpam-5743	86	26	df1	df1	NUM
ejpam-5743	86	27	,	,	PUNCT
ejpam-5743	86	28	[	[	X
ejpam-5743	86	29	df2	df2	NOUN
ejpam-5743	86	30	,	,	PUNCT
ejpam-5743	86	31	df3]π]π	df3]π]π	PROPN
ejpam-5743	86	32	+	+	CCONJ
ejpam-5743	87	1	[	[	X
ejpam-5743	87	2	df2	df2	X
ejpam-5743	87	3	,	,	PUNCT
ejpam-5743	87	4	[	[	X
ejpam-5743	87	5	df3	df3	ADJ
ejpam-5743	87	6	,	,	PUNCT
ejpam-5743	87	7	df1]π]π	df1]π]π	PROPN
ejpam-5743	87	8	+	+	CCONJ
ejpam-5743	88	1	[	[	X
ejpam-5743	88	2	df3	df3	ADJ
ejpam-5743	88	3	,	,	PUNCT
ejpam-5743	88	4	[	[	X
ejpam-5743	88	5	df1	df1	NOUN
ejpam-5743	88	6	,	,	PUNCT
ejpam-5743	88	7	df2]π]π	df2]π]π	VERB
ejpam-5743	88	8	=	=	SYM
ejpam-5743	88	9	−1	−1	NOUN
ejpam-5743	88	10	2	2	NUM
ejpam-5743	88	11	d	d	NOUN
ejpam-5743	88	12	(	(	PUNCT
ejpam-5743	88	13	[	[	X
ejpam-5743	88	14	π	π	X
ejpam-5743	88	15	,	,	PUNCT
ejpam-5743	88	16	π])(df1	π])(df1	PUNCT
ejpam-5743	88	17	,	,	PUNCT
ejpam-5743	88	18	df2	df2	PROPN
ejpam-5743	88	19	,	,	PUNCT
ejpam-5743	88	20	df3	df3	PROPN
ejpam-5743	88	21	)	)	PUNCT
ejpam-5743	88	22	)	)	PUNCT
ejpam-5743	88	23	.	.	PUNCT
ejpam-5743	89	1	proposition	proposition	NOUN
ejpam-5743	89	2	1	1	NUM
ejpam-5743	89	3	.	.	PUNCT
ejpam-5743	90	1	let	let	VERB
ejpam-5743	90	2	α	α	PRON
ejpam-5743	90	3	∈	∈	NOUN
ejpam-5743	90	4	ω1(m	ω1(m	NUM
ejpam-5743	90	5	)	)	PUNCT
ejpam-5743	90	6	.	.	PUNCT
ejpam-5743	91	1	then	then	ADV
ejpam-5743	91	2	le(♯π	le(♯π	ADV
ejpam-5743	91	3	,	,	PUNCT
ejpam-5743	91	4	eα	eα	NOUN
ejpam-5743	91	5	)	)	PUNCT
ejpam-5743	91	6	=	=	SYM
ejpam-5743	91	7	♯π	♯π	PROPN
ejpam-5743	91	8	,	,	PUNCT
ejpam-5743	91	9	e(leα	e(leα	ADJ
ejpam-5743	91	10	)	)	PUNCT
ejpam-5743	91	11	.	.	PUNCT
ejpam-5743	92	1	proof	proof	NOUN
ejpam-5743	92	2	.	.	PUNCT
ejpam-5743	93	1	by	by	ADP
ejpam-5743	93	2	definition	definition	NOUN
ejpam-5743	93	3	of	of	ADP
ejpam-5743	93	4	♯π	♯π	PROPN
ejpam-5743	93	5	,	,	PUNCT
ejpam-5743	93	6	e	e	NOUN
ejpam-5743	93	7	,	,	PUNCT
ejpam-5743	93	8	we	we	PRON
ejpam-5743	93	9	have	have	VERB
ejpam-5743	93	10	le(♯π	le(♯π	ADV
ejpam-5743	93	11	,	,	PUNCT
ejpam-5743	93	12	eα	eα	NOUN
ejpam-5743	93	13	)	)	PUNCT
ejpam-5743	93	14	=	=	SYM
ejpam-5743	93	15	le(♯πα+	le(♯πα+	NOUN
ejpam-5743	93	16	α(e)e	α(e)e	NOUN
ejpam-5743	93	17	)	)	PUNCT
ejpam-5743	93	18	=	=	SYM
ejpam-5743	93	19	le(♯πα	le(♯πα	X
ejpam-5743	93	20	)	)	PUNCT
ejpam-5743	93	21	+	+	CCONJ
ejpam-5743	93	22	le(α(e)e	le(α(e)e	NOUN
ejpam-5743	93	23	)	)	PUNCT
ejpam-5743	93	24	.	.	PUNCT
ejpam-5743	94	1	likewise	likewise	ADV
ejpam-5743	94	2	♯π	♯π	PROPN
ejpam-5743	94	3	,	,	PUNCT
ejpam-5743	94	4	e(leα	e(leα	NUM
ejpam-5743	94	5	)	)	PUNCT
ejpam-5743	94	6	=	=	SYM
ejpam-5743	94	7	♯π(leα	♯π(leα	ADJ
ejpam-5743	94	8	)	)	PUNCT
ejpam-5743	95	1	+	+	CCONJ
ejpam-5743	95	2	(	(	PUNCT
ejpam-5743	95	3	leα)(e)e	leα)(e)e	PROPN
ejpam-5743	95	4	.	.	PUNCT
ejpam-5743	95	5	then	then	ADV
ejpam-5743	95	6	a	a	DET
ejpam-5743	95	7	straightforward	straightforward	ADJ
ejpam-5743	95	8	calculation	calculation	NOUN
ejpam-5743	95	9	yields	yield	NOUN
ejpam-5743	95	10	,	,	PUNCT
ejpam-5743	95	11	for	for	ADP
ejpam-5743	95	12	any	any	DET
ejpam-5743	95	13	β	β	X
ejpam-5743	95	14	∈	∈	PROPN
ejpam-5743	95	15	ω1(m	ω1(m	NUM
ejpam-5743	95	16	)	)	PUNCT
ejpam-5743	95	17	,	,	PUNCT
ejpam-5743	95	18	β	β	X
ejpam-5743	95	19	(	(	PUNCT
ejpam-5743	95	20	le(♯π	le(♯π	ADV
ejpam-5743	95	21	,	,	PUNCT
ejpam-5743	95	22	eα)−	eα)−	ADP
ejpam-5743	95	23	♯π	♯π	PROPN
ejpam-5743	95	24	,	,	PUNCT
ejpam-5743	95	25	e(leα	e(leα	NUM
ejpam-5743	95	26	)	)	PUNCT
ejpam-5743	95	27	)	)	PUNCT
ejpam-5743	96	1	=	=	SYM
ejpam-5743	96	2	β	β	X
ejpam-5743	96	3	(	(	PUNCT
ejpam-5743	96	4	le(♯πα	le(♯πα	X
ejpam-5743	96	5	)	)	PUNCT
ejpam-5743	96	6	+	+	CCONJ
ejpam-5743	96	7	le(α(e)e)−	le(α(e)e)−	ADP
ejpam-5743	96	8	♯π(leα)−	♯π(leα)−	NOUN
ejpam-5743	96	9	(	(	PUNCT
ejpam-5743	96	10	leα(e))e	leα(e))e	PROPN
ejpam-5743	96	11	)	)	PUNCT
ejpam-5743	96	12	=	=	PUNCT
ejpam-5743	97	1	β	β	X
ejpam-5743	97	2	(	(	PUNCT
ejpam-5743	97	3	le(♯πα)−	le(♯πα)−	ADP
ejpam-5743	97	4	♯π(leα	♯π(leα	PROPN
ejpam-5743	97	5	)	)	PUNCT
ejpam-5743	97	6	+	+	CCONJ
ejpam-5743	98	1	[	[	X
ejpam-5743	98	2	le(α(e)e)−	le(α(e)e)−	X
ejpam-5743	98	3	(	(	PUNCT
ejpam-5743	98	4	leα)(e)e	leα)(e)e	PROPN
ejpam-5743	98	5	]	]	PUNCT
ejpam-5743	98	6	)	)	PUNCT
ejpam-5743	98	7	=	=	SYM
ejpam-5743	98	8	(	(	PUNCT
ejpam-5743	98	9	le(β(♯πα))−	le(β(♯πα))−	X
ejpam-5743	98	10	(	(	PUNCT
ejpam-5743	98	11	leβ)(♯πα	leβ)(♯πα	PROPN
ejpam-5743	98	12	)	)	PUNCT
ejpam-5743	98	13	)	)	PUNCT
ejpam-5743	98	14	−	−	PROPN
ejpam-5743	99	1	π(leα	π(leα	PROPN
ejpam-5743	99	2	,	,	PUNCT
ejpam-5743	99	3	β	β	X
ejpam-5743	99	4	)	)	PUNCT
ejpam-5743	99	5	=	=	SYM
ejpam-5743	99	6	leπ(α	leπ(α	PROPN
ejpam-5743	99	7	,	,	PUNCT
ejpam-5743	99	8	β)−	β)−	PROPN
ejpam-5743	99	9	(	(	PUNCT
ejpam-5743	99	10	leβ	leβ	PROPN
ejpam-5743	99	11	)	)	PUNCT
ejpam-5743	99	12	(	(	PUNCT
ejpam-5743	99	13	♯π(α	♯π(α	NOUN
ejpam-5743	99	14	)	)	PUNCT
ejpam-5743	99	15	)	)	PUNCT
ejpam-5743	100	1	−	−	PROPN
ejpam-5743	101	1	π(leα	π(leα	PROPN
ejpam-5743	101	2	,	,	PUNCT
ejpam-5743	101	3	β	β	X
ejpam-5743	101	4	)	)	PUNCT
ejpam-5743	101	5	=	=	SYM
ejpam-5743	101	6	−(leβ	−(leβ	NOUN
ejpam-5743	101	7	)	)	PUNCT
ejpam-5743	101	8	(	(	PUNCT
ejpam-5743	101	9	♯π(α	♯π(α	NOUN
ejpam-5743	101	10	)	)	PUNCT
ejpam-5743	101	11	)	)	PUNCT
ejpam-5743	102	1	−	−	PROPN
ejpam-5743	103	1	π(leα	π(leα	PROPN
ejpam-5743	103	2	,	,	PUNCT
ejpam-5743	103	3	β	β	X
ejpam-5743	103	4	)	)	PUNCT
ejpam-5743	103	5	=	=	PUNCT
ejpam-5743	104	1	−π(α	−π(α	PROPN
ejpam-5743	104	2	,	,	PUNCT
ejpam-5743	104	3	leβ)−	leβ)−	PROPN
ejpam-5743	104	4	π(leα	π(leα	PROPN
ejpam-5743	104	5	,	,	PUNCT
ejpam-5743	104	6	β	β	X
ejpam-5743	104	7	)	)	PUNCT
ejpam-5743	104	8	=	=	SYM
ejpam-5743	104	9	(	(	PUNCT
ejpam-5743	104	10	leπ)(α	leπ)(α	X
ejpam-5743	104	11	,	,	PUNCT
ejpam-5743	104	12	β	β	NOUN
ejpam-5743	104	13	)	)	PUNCT
ejpam-5743	104	14	=	=	SYM
ejpam-5743	104	15	0	0	X
ejpam-5743	104	16	.	.	PUNCT
ejpam-5743	104	17	m.	m.	PROPN
ejpam-5743	104	18	s.	s.	PROPN
ejpam-5743	104	19	ali	ali	PROPN
ejpam-5743	104	20	et	et	PROPN
ejpam-5743	104	21	al	al	PROPN
ejpam-5743	104	22	.	.	PUNCT
ejpam-5743	104	23	/	/	SYM
ejpam-5743	104	24	eur	eur	PROPN
ejpam-5743	104	25	.	.	PUNCT
ejpam-5743	105	1	j.	j.	PROPN
ejpam-5743	105	2	pure	pure	PROPN
ejpam-5743	105	3	appl	appl	PROPN
ejpam-5743	105	4	.	.	PROPN
ejpam-5743	105	5	math	math	PROPN
ejpam-5743	105	6	,	,	PUNCT
ejpam-5743	105	7	18	18	NUM
ejpam-5743	105	8	(	(	PUNCT
ejpam-5743	105	9	3	3	NUM
ejpam-5743	105	10	)	)	PUNCT
ejpam-5743	105	11	(	(	PUNCT
ejpam-5743	105	12	2025	2025	NUM
ejpam-5743	105	13	)	)	PUNCT
ejpam-5743	105	14	,	,	PUNCT
ejpam-5743	105	15	5743	5743	NUM
ejpam-5743	105	16	5	5	NUM
ejpam-5743	105	17	of	of	ADP
ejpam-5743	105	18	14	14	NUM
ejpam-5743	105	19	3	3	NUM
ejpam-5743	105	20	.	.	PUNCT
ejpam-5743	106	1	riemann	riemann	PROPN
ejpam-5743	106	2	-	-	PUNCT
ejpam-5743	106	3	poisson	poisson	PROPN
ejpam-5743	106	4	and	and	CCONJ
ejpam-5743	106	5	riemann	riemann	PROPN
ejpam-5743	106	6	-	-	PUNCT
ejpam-5743	106	7	jacobi	jacobi	PROPN
ejpam-5743	106	8	manifolds	manifolds	PROPN
ejpam-5743	106	9	let	let	VERB
ejpam-5743	106	10	d	d	PRON
ejpam-5743	106	11	be	be	AUX
ejpam-5743	106	12	the	the	DET
ejpam-5743	106	13	levi	levi	PROPN
ejpam-5743	106	14	-	-	PUNCT
ejpam-5743	106	15	civita	civita	PROPN
ejpam-5743	106	16	contravariant	contravariant	PROPN
ejpam-5743	106	17	connection	connection	NOUN
ejpam-5743	106	18	associated	associate	VERB
ejpam-5743	106	19	with	with	ADP
ejpam-5743	106	20	(	(	PUNCT
ejpam-5743	106	21	p	p	X
ejpam-5743	106	22	,	,	PUNCT
ejpam-5743	106	23	g∗	g∗	PROPN
ejpam-5743	106	24	)	)	PUNCT
ejpam-5743	106	25	.	.	PUNCT
ejpam-5743	107	1	(	(	PUNCT
ejpam-5743	107	2	m	m	PROPN
ejpam-5743	107	3	,	,	PUNCT
ejpam-5743	107	4	g∗	g∗	PROPN
ejpam-5743	107	5	,	,	PUNCT
ejpam-5743	107	6	p	p	NOUN
ejpam-5743	107	7	)	)	PUNCT
ejpam-5743	107	8	is	be	AUX
ejpam-5743	107	9	said	say	VERB
ejpam-5743	107	10	to	to	PART
ejpam-5743	107	11	be	be	AUX
ejpam-5743	107	12	a	a	DET
ejpam-5743	107	13	pseudo	pseudo	NOUN
ejpam-5743	107	14	-	-	ADJ
ejpam-5743	107	15	riemannian	riemannian	ADJ
ejpam-5743	107	16	-	-	PUNCT
ejpam-5743	107	17	poisson	poisson	NOUN
ejpam-5743	107	18	manifold	manifold	NOUN
ejpam-5743	107	19	,	,	PUNCT
ejpam-5743	107	20	if	if	SCONJ
ejpam-5743	107	21	dαp	dαp	PROPN
ejpam-5743	107	22	(	(	PUNCT
ejpam-5743	107	23	β	β	X
ejpam-5743	107	24	,	,	PUNCT
ejpam-5743	107	25	γ	γ	NOUN
ejpam-5743	107	26	)	)	PUNCT
ejpam-5743	107	27	:	:	PUNCT
ejpam-5743	107	28	=	=	SYM
ejpam-5743	107	29	♯p	♯p	NOUN
ejpam-5743	107	30	(	(	PUNCT
ejpam-5743	107	31	α	α	NOUN
ejpam-5743	107	32	)	)	PUNCT
ejpam-5743	107	33	·	·	PUNCT
ejpam-5743	108	1	p	p	X
ejpam-5743	108	2	(	(	PUNCT
ejpam-5743	108	3	β	β	X
ejpam-5743	108	4	,	,	PUNCT
ejpam-5743	108	5	γ)−	γ)−	PROPN
ejpam-5743	108	6	p	p	X
ejpam-5743	108	7	(	(	PUNCT
ejpam-5743	108	8	dαβ	dαβ	NOUN
ejpam-5743	108	9	,	,	PUNCT
ejpam-5743	108	10	γ)−	γ)−	PROPN
ejpam-5743	108	11	p	p	X
ejpam-5743	108	12	(	(	PUNCT
ejpam-5743	108	13	β	β	X
ejpam-5743	108	14	,	,	PUNCT
ejpam-5743	108	15	dαγ	dαγ	NOUN
ejpam-5743	108	16	)	)	PUNCT
ejpam-5743	108	17	=	=	SYM
ejpam-5743	108	18	0	0	NUM
ejpam-5743	108	19	,	,	PUNCT
ejpam-5743	108	20	where	where	SCONJ
ejpam-5743	108	21	α	α	X
ejpam-5743	108	22	,	,	PUNCT
ejpam-5743	108	23	β	β	X
ejpam-5743	108	24	,	,	PUNCT
ejpam-5743	108	25	γ	γ	PROPN
ejpam-5743	108	26	∈	∈	PROPN
ejpam-5743	108	27	ω1(m	ω1(m	NUM
ejpam-5743	108	28	)	)	PUNCT
ejpam-5743	108	29	.	.	PUNCT
ejpam-5743	109	1	d	d	NOUN
ejpam-5743	109	2	is	be	AUX
ejpam-5743	109	3	characterized	characterize	VERB
ejpam-5743	109	4	by	by	ADP
ejpam-5743	109	5	2g∗(dαβ	2g∗(dαβ	NUM
ejpam-5743	109	6	,	,	PUNCT
ejpam-5743	109	7	γ	γ	NOUN
ejpam-5743	109	8	)	)	PUNCT
ejpam-5743	109	9	=	=	PUNCT
ejpam-5743	109	10	♯p	♯p	NOUN
ejpam-5743	109	11	(	(	PUNCT
ejpam-5743	109	12	α)g	α)g	NOUN
ejpam-5743	109	13	∗(β	∗(β	PROPN
ejpam-5743	109	14	,	,	PUNCT
ejpam-5743	109	15	γ	γ	NOUN
ejpam-5743	109	16	)	)	PUNCT
ejpam-5743	110	1	+	+	CCONJ
ejpam-5743	110	2	♯p	♯p	NOUN
ejpam-5743	110	3	(	(	PUNCT
ejpam-5743	110	4	β)g	β)g	SYM
ejpam-5743	110	5	∗(α	∗(α	PROPN
ejpam-5743	110	6	,	,	PUNCT
ejpam-5743	110	7	γ)−	γ)−	PROPN
ejpam-5743	110	8	♯p	♯p	NOUN
ejpam-5743	110	9	(	(	PUNCT
ejpam-5743	110	10	γ)g	γ)g	PUNCT
ejpam-5743	110	11	∗(α	∗(α	PROPN
ejpam-5743	110	12	,	,	PUNCT
ejpam-5743	110	13	β	β	NOUN
ejpam-5743	110	14	)	)	PUNCT
ejpam-5743	111	1	+	+	NOUN
ejpam-5743	111	2	g∗([α	g∗([α	NOUN
ejpam-5743	111	3	,	,	PUNCT
ejpam-5743	111	4	β]p	β]p	NUM
ejpam-5743	111	5	,	,	PUNCT
ejpam-5743	111	6	γ	γ	X
ejpam-5743	111	7	)	)	PUNCT
ejpam-5743	111	8	+	+	CCONJ
ejpam-5743	111	9	g∗([γ	g∗([γ	X
ejpam-5743	111	10	,	,	PUNCT
ejpam-5743	111	11	α	α	NOUN
ejpam-5743	111	12	]	]	X
ejpam-5743	111	13	,	,	PUNCT
ejpam-5743	111	14	β	β	X
ejpam-5743	111	15	)	)	PUNCT
ejpam-5743	111	16	+	+	CCONJ
ejpam-5743	111	17	g∗([γ	g∗([γ	NOUN
ejpam-5743	111	18	,	,	PUNCT
ejpam-5743	111	19	β]p	β]p	INTJ
ejpam-5743	111	20	,	,	PUNCT
ejpam-5743	111	21	α	α	NOUN
ejpam-5743	111	22	)	)	PUNCT
ejpam-5743	111	23	.	.	PUNCT
ejpam-5743	112	1	(	(	PUNCT
ejpam-5743	112	2	3	3	X
ejpam-5743	112	3	)	)	PUNCT
ejpam-5743	112	4	moreover	moreover	ADV
ejpam-5743	112	5	,	,	PUNCT
ejpam-5743	112	6	once	once	SCONJ
ejpam-5743	112	7	we	we	PRON
ejpam-5743	112	8	introduce	introduce	VERB
ejpam-5743	112	9	the	the	DET
ejpam-5743	112	10	bundle	bundle	NOUN
ejpam-5743	112	11	map	map	NOUN
ejpam-5743	112	12	j∗	j∗	PROPN
ejpam-5743	112	13	:	:	PUNCT
ejpam-5743	112	14	t	t	PROPN
ejpam-5743	112	15	∗m	∗m	PROPN
ejpam-5743	112	16	→	→	SYM
ejpam-5743	112	17	t	t	PROPN
ejpam-5743	112	18	∗m	∗m	PROPN
ejpam-5743	112	19	,	,	PUNCT
ejpam-5743	112	20	which	which	PRON
ejpam-5743	112	21	behaves	behave	VERB
ejpam-5743	112	22	like	like	ADP
ejpam-5743	112	23	a	a	DET
ejpam-5743	112	24	contravariant	contravariant	ADJ
ejpam-5743	112	25	(	(	PUNCT
ejpam-5743	112	26	almost	almost	ADV
ejpam-5743	112	27	)	)	PUNCT
ejpam-5743	112	28	complex	complex	ADJ
ejpam-5743	112	29	structure	structure	NOUN
ejpam-5743	113	1	[	[	X
ejpam-5743	113	2	12	12	NUM
ejpam-5743	113	3	]	]	X
ejpam-5743	113	4	,	,	PUNCT
ejpam-5743	113	5	such	such	ADJ
ejpam-5743	113	6	that	that	DET
ejpam-5743	113	7	dαj	dαj	NOUN
ejpam-5743	113	8	∗β	∗β	PROPN
ejpam-5743	113	9	=	=	SYM
ejpam-5743	113	10	j∗dαβ	j∗dαβ	PROPN
ejpam-5743	113	11	,	,	PUNCT
ejpam-5743	113	12	for	for	ADP
ejpam-5743	113	13	all	all	DET
ejpam-5743	113	14	α	α	PROPN
ejpam-5743	113	15	,	,	PUNCT
ejpam-5743	113	16	β	β	X
ejpam-5743	113	17	,	,	PUNCT
ejpam-5743	113	18	γ	γ	PROPN
ejpam-5743	113	19	∈	∈	PROPN
ejpam-5743	113	20	ω1(m	ω1(m	NUM
ejpam-5743	113	21	)	)	PUNCT
ejpam-5743	113	22	the	the	DET
ejpam-5743	113	23	space	space	NOUN
ejpam-5743	113	24	of	of	ADP
ejpam-5743	113	25	1	1	NUM
ejpam-5743	113	26	-	-	PUNCT
ejpam-5743	113	27	forms	form	NOUN
ejpam-5743	113	28	on	on	ADP
ejpam-5743	113	29	m	m	PROPN
ejpam-5743	113	30	.	.	PUNCT
ejpam-5743	114	1	we	we	PRON
ejpam-5743	114	2	denote	denote	VERB
ejpam-5743	114	3	by	by	ADP
ejpam-5743	114	4	♭	♭	PROPN
ejpam-5743	114	5	g	g	NOUN
ejpam-5743	114	6	:	:	PUNCT
ejpam-5743	114	7	tm	tm	PROPN
ejpam-5743	114	8	→	→	PROPN
ejpam-5743	114	9	t	t	PROPN
ejpam-5743	114	10	∗m	∗m	NOUN
ejpam-5743	114	11	,	,	PUNCT
ejpam-5743	114	12	bundle	bundle	NOUN
ejpam-5743	114	13	maps	map	NOUN
ejpam-5743	114	14	called	call	VERB
ejpam-5743	114	15	musical	musical	ADJ
ejpam-5743	114	16	isomorphisms	isomorphism	NOUN
ejpam-5743	114	17	such	such	ADJ
ejpam-5743	114	18	that	that	SCONJ
ejpam-5743	114	19	♭	♭	PROPN
ejpam-5743	114	20	g(x)(y	g(x)(y	PUNCT
ejpam-5743	114	21	)	)	PUNCT
ejpam-5743	115	1	=	=	PUNCT
ejpam-5743	115	2	g(x	g(x	NOUN
ejpam-5743	115	3	,	,	PUNCT
ejpam-5743	115	4	y	y	PROPN
ejpam-5743	115	5	)	)	PUNCT
ejpam-5743	115	6	and	and	CCONJ
ejpam-5743	115	7	♯g	♯g	VERB
ejpam-5743	115	8	its	its	PRON
ejpam-5743	115	9	inverse	inverse	NOUN
ejpam-5743	115	10	,	,	PUNCT
ejpam-5743	115	11	by	by	ADP
ejpam-5743	115	12	g∗	g∗	VERB
ejpam-5743	115	13	the	the	DET
ejpam-5743	115	14	dual	dual	ADJ
ejpam-5743	115	15	of	of	ADP
ejpam-5743	115	16	g	g	NOUN
ejpam-5743	115	17	,	,	PUNCT
ejpam-5743	115	18	such	such	ADJ
ejpam-5743	115	19	that	that	SCONJ
ejpam-5743	115	20	g∗(α	g∗(α	PROPN
ejpam-5743	115	21	,	,	PUNCT
ejpam-5743	115	22	β	β	X
ejpam-5743	115	23	)	)	PUNCT
ejpam-5743	115	24	=	=	SYM
ejpam-5743	115	25	g(♯g(α	g(♯g(α	X
ejpam-5743	115	26	)	)	PUNCT
ejpam-5743	115	27	,	,	PUNCT
ejpam-5743	115	28	♯g(β	♯g(β	NOUN
ejpam-5743	115	29	)	)	PUNCT
ejpam-5743	115	30	)	)	PUNCT
ejpam-5743	115	31	and	and	CCONJ
ejpam-5743	115	32	such	such	ADJ
ejpam-5743	115	33	that	that	SCONJ
ejpam-5743	115	34	g(j♯g(α	g(j♯g(α	NOUN
ejpam-5743	115	35	)	)	PUNCT
ejpam-5743	115	36	,	,	PUNCT
ejpam-5743	115	37	♯g(β	♯g(β	NOUN
ejpam-5743	115	38	)	)	PUNCT
ejpam-5743	115	39	)	)	PUNCT
ejpam-5743	116	1	=	=	SYM
ejpam-5743	116	2	π(α	π(α	PROPN
ejpam-5743	116	3	,	,	PUNCT
ejpam-5743	116	4	β	β	NOUN
ejpam-5743	116	5	)	)	PUNCT
ejpam-5743	116	6	,	,	PUNCT
ejpam-5743	116	7	and	and	CCONJ
ejpam-5743	116	8	g∗(α	g∗(α	PROPN
ejpam-5743	116	9	,	,	PUNCT
ejpam-5743	116	10	j∗β	j∗β	PROPN
ejpam-5743	116	11	)	)	PUNCT
ejpam-5743	116	12	=	=	SYM
ejpam-5743	116	13	π(α	π(α	PROPN
ejpam-5743	116	14	,	,	PUNCT
ejpam-5743	116	15	β	β	NOUN
ejpam-5743	116	16	)	)	PUNCT
ejpam-5743	116	17	,	,	PUNCT
ejpam-5743	116	18	(	(	PUNCT
ejpam-5743	116	19	4	4	X
ejpam-5743	116	20	)	)	PUNCT
ejpam-5743	116	21	so	so	ADV
ejpam-5743	116	22	j∗	j∗	PROPN
ejpam-5743	116	23	=	=	SYM
ejpam-5743	116	24	♭	♭	PROPN
ejpam-5743	116	25	g	g	PROPN
ejpam-5743	116	26	◦	◦	NOUN
ejpam-5743	116	27	j	j	PROPN
ejpam-5743	116	28	◦	◦	NOUN
ejpam-5743	116	29	♯g	♯g	PROPN
ejpam-5743	116	30	.	.	PUNCT
ejpam-5743	117	1	definition	definition	NOUN
ejpam-5743	117	2	1	1	NUM
ejpam-5743	117	3	.	.	PUNCT
ejpam-5743	118	1	a	a	DET
ejpam-5743	118	2	triple	triple	ADJ
ejpam-5743	118	3	(	(	PUNCT
ejpam-5743	118	4	π	π	PROPN
ejpam-5743	118	5	,	,	PUNCT
ejpam-5743	118	6	g	g	PROPN
ejpam-5743	118	7	,	,	PUNCT
ejpam-5743	118	8	j	j	PROPN
ejpam-5743	118	9	)	)	PUNCT
ejpam-5743	118	10	of	of	ADP
ejpam-5743	118	11	structures	structure	NOUN
ejpam-5743	118	12	on	on	ADP
ejpam-5743	118	13	a	a	DET
ejpam-5743	118	14	tangent	tangent	ADJ
ejpam-5743	118	15	space	space	NOUN
ejpam-5743	118	16	tm	tm	NOUN
ejpam-5743	118	17	is	be	AUX
ejpam-5743	118	18	called	call	VERB
ejpam-5743	118	19	compatible	compatible	ADJ
ejpam-5743	118	20	if	if	SCONJ
ejpam-5743	118	21	for	for	ADP
ejpam-5743	118	22	each	each	DET
ejpam-5743	118	23	α	α	NOUN
ejpam-5743	118	24	,	,	PUNCT
ejpam-5743	118	25	β	β	X
ejpam-5743	118	26	∈	∈	PROPN
ejpam-5743	118	27	ω1(m	ω1(m	NUM
ejpam-5743	118	28	)	)	PUNCT
ejpam-5743	118	29	the	the	DET
ejpam-5743	118	30	relation	relation	NOUN
ejpam-5743	118	31	π(α	π(α	PROPN
ejpam-5743	118	32	,	,	PUNCT
ejpam-5743	118	33	β	β	X
ejpam-5743	118	34	)	)	PUNCT
ejpam-5743	118	35	=	=	SYM
ejpam-5743	118	36	g∗(α	g∗(α	PROPN
ejpam-5743	118	37	,	,	PUNCT
ejpam-5743	118	38	j∗β	j∗β	NOUN
ejpam-5743	118	39	)	)	PUNCT
ejpam-5743	118	40	is	be	AUX
ejpam-5743	118	41	satisfied	satisfied	ADJ
ejpam-5743	118	42	.	.	PUNCT
ejpam-5743	119	1	to	to	ADP
ejpam-5743	119	2	the	the	DET
ejpam-5743	119	3	triple	triple	ADJ
ejpam-5743	119	4	(	(	PUNCT
ejpam-5743	119	5	π	π	PROPN
ejpam-5743	119	6	,	,	PUNCT
ejpam-5743	119	7	e	e	NOUN
ejpam-5743	119	8	,	,	PUNCT
ejpam-5743	119	9	g	g	NOUN
ejpam-5743	119	10	)	)	PUNCT
ejpam-5743	119	11	we	we	PRON
ejpam-5743	119	12	associate	associate	VERB
ejpam-5743	119	13	the	the	DET
ejpam-5743	119	14	differential	differential	ADJ
ejpam-5743	119	15	1	1	NUM
ejpam-5743	119	16	-	-	PUNCT
ejpam-5743	119	17	form	form	NOUN
ejpam-5743	119	18	λ	λ	NOUN
ejpam-5743	119	19	defined	define	VERB
ejpam-5743	119	20	by	by	ADP
ejpam-5743	119	21	λ	λ	PROPN
ejpam-5743	119	22	=	=	SYM
ejpam-5743	119	23	g(e	g(e	PROPN
ejpam-5743	119	24	,	,	PUNCT
ejpam-5743	119	25	e)	e)	PROPN
ejpam-5743	119	26	♭	♭	PROPN
ejpam-5743	119	27	g(e)−	g(e)−	PROPN
ejpam-5743	119	28	♭	♭	PROPN
ejpam-5743	119	29	g(je	g(je	NOUN
ejpam-5743	119	30	)	)	PUNCT
ejpam-5743	119	31	.	.	PUNCT
ejpam-5743	120	1	we	we	PRON
ejpam-5743	120	2	call	call	VERB
ejpam-5743	120	3	the	the	DET
ejpam-5743	120	4	contravariant	contravariant	PROPN
ejpam-5743	120	5	levi	levi	PROPN
ejpam-5743	120	6	-	-	PUNCT
ejpam-5743	120	7	civita	civita	PROPN
ejpam-5743	120	8	derivative	derivative	NOUN
ejpam-5743	120	9	associated	associate	VERB
ejpam-5743	120	10	with	with	ADP
ejpam-5743	120	11	the	the	DET
ejpam-5743	120	12	triplet	triplet	NOUN
ejpam-5743	120	13	(	(	PUNCT
ejpam-5743	120	14	π	π	PROPN
ejpam-5743	120	15	,	,	PUNCT
ejpam-5743	120	16	e	e	NOUN
ejpam-5743	120	17	,	,	PUNCT
ejpam-5743	120	18	g	g	NOUN
ejpam-5743	120	19	)	)	PUNCT
ejpam-5743	120	20	the	the	DET
ejpam-5743	120	21	unique	unique	ADJ
ejpam-5743	120	22	derivative	derivative	ADJ
ejpam-5743	120	23	d	d	NOUN
ejpam-5743	120	24	,	,	PUNCT
ejpam-5743	120	25	symmetric	symmetric	ADJ
ejpam-5743	120	26	with	with	ADP
ejpam-5743	120	27	respect	respect	NOUN
ejpam-5743	120	28	to	to	ADP
ejpam-5743	120	29	the	the	DET
ejpam-5743	120	30	bracket	bracket	NOUN
ejpam-5743	120	31	[	[	X
ejpam-5743	120	32	·	·	PUNCT
ejpam-5743	120	33	,	,	PUNCT
ejpam-5743	120	34	·	·	PUNCT
ejpam-5743	120	35	]	]	X
ejpam-5743	120	36	π	π	PROPN
ejpam-5743	120	37	,	,	PUNCT
ejpam-5743	120	38	e	e	NOUN
ejpam-5743	120	39	and	and	CCONJ
ejpam-5743	120	40	compatible	compatible	ADJ
ejpam-5743	120	41	with	with	ADP
ejpam-5743	120	42	the	the	DET
ejpam-5743	120	43	metric	metric	ADJ
ejpam-5743	120	44	g∗.	g∗.	NOUN
ejpam-5743	120	45	it	it	PRON
ejpam-5743	120	46	is	be	AUX
ejpam-5743	120	47	characterised	characterise	VERB
ejpam-5743	120	48	by	by	ADP
ejpam-5743	120	49	the	the	DET
ejpam-5743	120	50	formula	formula	NOUN
ejpam-5743	120	51	2g∗(dαβ	2g∗(dαβ	NUM
ejpam-5743	120	52	,	,	PUNCT
ejpam-5743	120	53	γ	γ	NOUN
ejpam-5743	120	54	)	)	PUNCT
ejpam-5743	120	55	=	=	SYM
ejpam-5743	120	56	♯π	♯π	PROPN
ejpam-5743	120	57	,	,	PUNCT
ejpam-5743	120	58	e(α)g	e(α)g	PROPN
ejpam-5743	120	59	∗(β	∗(β	PROPN
ejpam-5743	120	60	,	,	PUNCT
ejpam-5743	120	61	γ	γ	NOUN
ejpam-5743	120	62	)	)	PUNCT
ejpam-5743	120	63	+	+	SYM
ejpam-5743	120	64	♯π	♯π	PROPN
ejpam-5743	120	65	,	,	PUNCT
ejpam-5743	120	66	e(β)g	e(β)g	PART
ejpam-5743	120	67	∗(α	∗(α	PROPN
ejpam-5743	120	68	,	,	PUNCT
ejpam-5743	120	69	γ)−	γ)−	PROPN
ejpam-5743	120	70	♯π	♯π	PROPN
ejpam-5743	120	71	,	,	PUNCT
ejpam-5743	120	72	e(γ)g	e(γ)g	NOUN
ejpam-5743	120	73	∗(α	∗(α	PROPN
ejpam-5743	120	74	,	,	PUNCT
ejpam-5743	120	75	β	β	NOUN
ejpam-5743	120	76	)	)	PUNCT
ejpam-5743	121	1	+	+	NOUN
ejpam-5743	121	2	g∗([α	g∗([α	NOUN
ejpam-5743	121	3	,	,	PUNCT
ejpam-5743	121	4	β]π	β]π	ADJ
ejpam-5743	121	5	,	,	PUNCT
ejpam-5743	121	6	e	e	PROPN
ejpam-5743	121	7	,	,	PUNCT
ejpam-5743	121	8	γ	γ	PROPN
ejpam-5743	121	9	)	)	PUNCT
ejpam-5743	121	10	+	+	CCONJ
ejpam-5743	121	11	g∗([γ	g∗([γ	NOUN
ejpam-5743	121	12	,	,	PUNCT
ejpam-5743	121	13	α]π	α]π	PROPN
ejpam-5743	121	14	,	,	PUNCT
ejpam-5743	121	15	e	e	NOUN
ejpam-5743	121	16	,	,	PUNCT
ejpam-5743	121	17	β	β	X
ejpam-5743	121	18	)	)	PUNCT
ejpam-5743	121	19	+	+	CCONJ
ejpam-5743	121	20	g∗([γ	g∗([γ	NOUN
ejpam-5743	121	21	,	,	PUNCT
ejpam-5743	121	22	β]π	β]π	ADJ
ejpam-5743	121	23	,	,	PUNCT
ejpam-5743	121	24	e	e	PROPN
ejpam-5743	121	25	,	,	PUNCT
ejpam-5743	121	26	α	α	NOUN
ejpam-5743	121	27	)	)	PUNCT
ejpam-5743	121	28	proposition	proposition	NOUN
ejpam-5743	121	29	2	2	NUM
ejpam-5743	121	30	.	.	PUNCT
ejpam-5743	122	1	if	if	SCONJ
ejpam-5743	122	2	(	(	PUNCT
ejpam-5743	122	3	π	π	X
ejpam-5743	122	4	,	,	PUNCT
ejpam-5743	122	5	e	e	NOUN
ejpam-5743	122	6	)	)	PUNCT
ejpam-5743	122	7	is	be	AUX
ejpam-5743	122	8	a	a	DET
ejpam-5743	122	9	jacobi	jacobi	PROPN
ejpam-5743	122	10	structure	structure	NOUN
ejpam-5743	122	11	on	on	ADP
ejpam-5743	122	12	m	m	PROPN
ejpam-5743	122	13	,	,	PUNCT
ejpam-5743	122	14	then	then	ADV
ejpam-5743	122	15	♯π	♯π	PROPN
ejpam-5743	122	16	,	,	PUNCT
ejpam-5743	122	17	e(dαj	e(dαj	NOUN
ejpam-5743	122	18	∗β	∗β	PROPN
ejpam-5743	122	19	)	)	PUNCT
ejpam-5743	123	1	=	=	SYM
ejpam-5743	123	2	j♯π	j♯π	PROPN
ejpam-5743	123	3	,	,	PUNCT
ejpam-5743	123	4	e(dαβ	e(dαβ	PROPN
ejpam-5743	123	5	)	)	PUNCT
ejpam-5743	123	6	for	for	ADP
ejpam-5743	123	7	all	all	DET
ejpam-5743	123	8	α	α	NOUN
ejpam-5743	123	9	,	,	PUNCT
ejpam-5743	123	10	β	β	X
ejpam-5743	123	11	∈	∈	PROPN
ejpam-5743	123	12	ω1(m	ω1(m	NUM
ejpam-5743	123	13	)	)	PUNCT
ejpam-5743	123	14	.	.	PUNCT
ejpam-5743	124	1	proof	proof	NOUN
ejpam-5743	124	2	.	.	PUNCT
ejpam-5743	125	1	by	by	ADP
ejpam-5743	125	2	[	[	X
ejpam-5743	125	3	7	7	NUM
ejpam-5743	125	4	,	,	PUNCT
ejpam-5743	125	5	proposition	proposition	NOUN
ejpam-5743	125	6	3.1	3.1	NUM
ejpam-5743	125	7	and	and	CCONJ
ejpam-5743	125	8	2.6	2.6	NUM
ejpam-5743	125	9	]	]	PUNCT
ejpam-5743	125	10	,	,	PUNCT
ejpam-5743	125	11	we	we	PRON
ejpam-5743	125	12	have	have	VERB
ejpam-5743	125	13	♯π	♯π	PROPN
ejpam-5743	125	14	,	,	PUNCT
ejpam-5743	125	15	e(dαβ	e(dαβ	PROPN
ejpam-5743	125	16	)	)	PUNCT
ejpam-5743	125	17	=	=	SYM
ejpam-5743	126	1	∇♯π	∇♯π	NOUN
ejpam-5743	126	2	,	,	PUNCT
ejpam-5743	126	3	e(α)♯π	e(α)♯π	ADJ
ejpam-5743	126	4	,	,	PUNCT
ejpam-5743	126	5	e(β	e(β	NOUN
ejpam-5743	126	6	)	)	PUNCT
ejpam-5743	126	7	,	,	PUNCT
ejpam-5743	126	8	where	where	SCONJ
ejpam-5743	126	9	∇	∇	PROPN
ejpam-5743	126	10	is	be	AUX
ejpam-5743	126	11	the	the	DET
ejpam-5743	126	12	levi	levi	PROPN
ejpam-5743	126	13	-	-	PUNCT
ejpam-5743	126	14	civita	civita	PROPN
ejpam-5743	126	15	connection	connection	NOUN
ejpam-5743	126	16	(	(	PUNCT
ejpam-5743	126	17	covariant	covariant	NOUN
ejpam-5743	126	18	)	)	PUNCT
ejpam-5743	126	19	associated	associate	VERB
ejpam-5743	126	20	with	with	ADP
ejpam-5743	126	21	g.	g.	PROPN
ejpam-5743	126	22	since	since	SCONJ
ejpam-5743	126	23	any	any	DET
ejpam-5743	126	24	hermitian	hermitian	ADJ
ejpam-5743	126	25	manifold	manifold	NOUN
ejpam-5743	126	26	is	be	AUX
ejpam-5743	126	27	a	a	DET
ejpam-5743	126	28	kähler	kähler	NOUN
ejpam-5743	126	29	manifold	manifold	ADJ
ejpam-5743	126	30	if	if	SCONJ
ejpam-5743	126	31	∇j	∇j	PROPN
ejpam-5743	126	32	=	=	NOUN
ejpam-5743	126	33	0	0	NUM
ejpam-5743	126	34	which	which	PRON
ejpam-5743	126	35	is	be	AUX
ejpam-5743	126	36	true	true	ADJ
ejpam-5743	126	37	(	(	PUNCT
ejpam-5743	126	38	see	see	VERB
ejpam-5743	126	39	[	[	X
ejpam-5743	126	40	13	13	NUM
ejpam-5743	126	41	]	]	NUM
ejpam-5743	126	42	)	)	PUNCT
ejpam-5743	126	43	.	.	PUNCT
ejpam-5743	127	1	then	then	ADV
ejpam-5743	127	2	(	(	PUNCT
ejpam-5743	127	3	m	m	PROPN
ejpam-5743	127	4	,	,	PUNCT
ejpam-5743	127	5	g	g	PROPN
ejpam-5743	127	6	,	,	PUNCT
ejpam-5743	127	7	π	π	X
ejpam-5743	127	8	)	)	PUNCT
ejpam-5743	127	9	is	be	AUX
ejpam-5743	127	10	a	a	DET
ejpam-5743	127	11	kähler	kähler	NOUN
ejpam-5743	127	12	-	-	PUNCT
ejpam-5743	127	13	poisson	poisson	NOUN
ejpam-5743	127	14	manifold	manifold	NOUN
ejpam-5743	127	15	and	and	CCONJ
ejpam-5743	127	16	consequently	consequently	ADV
ejpam-5743	127	17	,	,	PUNCT
ejpam-5743	127	18	we	we	PRON
ejpam-5743	127	19	have	have	VERB
ejpam-5743	127	20	∇xjy	∇xjy	PROPN
ejpam-5743	127	21	=	=	PUNCT
ejpam-5743	127	22	j∇xy	j∇xy	NOUN
ejpam-5743	127	23	,	,	PUNCT
ejpam-5743	127	24	for	for	ADP
ejpam-5743	127	25	all	all	DET
ejpam-5743	127	26	x	x	NOUN
ejpam-5743	127	27	,	,	PUNCT
ejpam-5743	127	28	y	y	PROPN
ejpam-5743	127	29	∈	∈	PROPN
ejpam-5743	127	30	tm	tm	NOUN
ejpam-5743	127	31	.	.	PUNCT
ejpam-5743	128	1	if	if	SCONJ
ejpam-5743	128	2	we	we	PRON
ejpam-5743	128	3	set	set	VERB
ejpam-5743	128	4	x	x	NOUN
ejpam-5743	128	5	=	=	SYM
ejpam-5743	128	6	♯π	♯π	PROPN
ejpam-5743	128	7	,	,	PUNCT
ejpam-5743	128	8	e(α	e(α	PROPN
ejpam-5743	128	9	)	)	PUNCT
ejpam-5743	128	10	and	and	CCONJ
ejpam-5743	128	11	y	y	PROPN
ejpam-5743	128	12	=	=	SYM
ejpam-5743	128	13	♯π	♯π	PROPN
ejpam-5743	128	14	,	,	PUNCT
ejpam-5743	128	15	e(β	e(β	NOUN
ejpam-5743	128	16	)	)	PUNCT
ejpam-5743	128	17	,	,	PUNCT
ejpam-5743	128	18	then	then	ADV
ejpam-5743	128	19	♯π	♯π	PROPN
ejpam-5743	128	20	,	,	PUNCT
ejpam-5743	128	21	e(dαj	e(dαj	NOUN
ejpam-5743	128	22	∗β	∗β	PROPN
ejpam-5743	128	23	)	)	PUNCT
ejpam-5743	129	1	=	=	PRON
ejpam-5743	129	2	∇♯π	∇♯π	X
ejpam-5743	129	3	,	,	PUNCT
ejpam-5743	129	4	e(α)j♯π	e(α)j♯π	PROPN
ejpam-5743	129	5	,	,	PUNCT
ejpam-5743	129	6	e(β	e(β	NOUN
ejpam-5743	129	7	)	)	PUNCT
ejpam-5743	129	8	=	=	SYM
ejpam-5743	129	9	j∇♯π	j∇♯π	PROPN
ejpam-5743	129	10	,	,	PUNCT
ejpam-5743	129	11	e(α)♯π	e(α)♯π	ADJ
ejpam-5743	129	12	,	,	PUNCT
ejpam-5743	129	13	e(β	e(β	PROPN
ejpam-5743	129	14	)	)	PUNCT
ejpam-5743	129	15	=	=	SYM
ejpam-5743	129	16	j♯π	j♯π	PROPN
ejpam-5743	129	17	,	,	PUNCT
ejpam-5743	129	18	e(dαβ	e(dαβ	PROPN
ejpam-5743	129	19	)	)	PUNCT
ejpam-5743	129	20	.	.	PUNCT
ejpam-5743	130	1	let	let	VERB
ejpam-5743	130	2	ω	ω	NUM
ejpam-5743	130	3	∈	∈	PROPN
ejpam-5743	130	4	ω2(m	ω2(m	PRON
ejpam-5743	130	5	)	)	PUNCT
ejpam-5743	130	6	be	be	AUX
ejpam-5743	130	7	a	a	DET
ejpam-5743	130	8	non	non	ADJ
ejpam-5743	130	9	-	-	ADJ
ejpam-5743	130	10	degenerate	degenerate	ADJ
ejpam-5743	130	11	2	2	NUM
ejpam-5743	130	12	-	-	PUNCT
ejpam-5743	130	13	form	form	NOUN
ejpam-5743	130	14	and	and	CCONJ
ejpam-5743	130	15	θ	θ	NOUN
ejpam-5743	130	16	∈	∈	PROPN
ejpam-5743	130	17	ω1(m	ω1(m	NUM
ejpam-5743	130	18	)	)	PUNCT
ejpam-5743	130	19	.	.	PUNCT
ejpam-5743	131	1	suppose	suppose	VERB
ejpam-5743	131	2	that	that	SCONJ
ejpam-5743	131	3	the	the	DET
ejpam-5743	131	4	pair	pair	NOUN
ejpam-5743	131	5	(	(	PUNCT
ejpam-5743	131	6	π	π	X
ejpam-5743	131	7	,	,	PUNCT
ejpam-5743	131	8	e	e	NOUN
ejpam-5743	131	9	)	)	PUNCT
ejpam-5743	131	10	is	be	AUX
ejpam-5743	131	11	associated	associate	VERB
ejpam-5743	131	12	with	with	ADP
ejpam-5743	131	13	the	the	DET
ejpam-5743	131	14	pair	pair	NOUN
ejpam-5743	131	15	(	(	PUNCT
ejpam-5743	131	16	ω	ω	PROPN
ejpam-5743	131	17	,	,	PUNCT
ejpam-5743	131	18	θ	θ	NOUN
ejpam-5743	131	19	)	)	PUNCT
ejpam-5743	131	20	.	.	PUNCT
ejpam-5743	132	1	m.	m.	PROPN
ejpam-5743	132	2	s.	s.	PROPN
ejpam-5743	132	3	ali	ali	PROPN
ejpam-5743	132	4	et	et	PROPN
ejpam-5743	132	5	al	al	PROPN
ejpam-5743	132	6	.	.	PUNCT
ejpam-5743	132	7	/	/	SYM
ejpam-5743	132	8	eur	eur	PROPN
ejpam-5743	132	9	.	.	PUNCT
ejpam-5743	133	1	j.	j.	PROPN
ejpam-5743	133	2	pure	pure	PROPN
ejpam-5743	133	3	appl	appl	PROPN
ejpam-5743	133	4	.	.	PROPN
ejpam-5743	133	5	math	math	PROPN
ejpam-5743	133	6	,	,	PUNCT
ejpam-5743	133	7	18	18	NUM
ejpam-5743	133	8	(	(	PUNCT
ejpam-5743	133	9	3	3	NUM
ejpam-5743	133	10	)	)	PUNCT
ejpam-5743	133	11	(	(	PUNCT
ejpam-5743	133	12	2025	2025	NUM
ejpam-5743	133	13	)	)	PUNCT
ejpam-5743	133	14	,	,	PUNCT
ejpam-5743	133	15	5743	5743	NUM
ejpam-5743	133	16	6	6	NUM
ejpam-5743	133	17	of	of	ADP
ejpam-5743	133	18	14	14	NUM
ejpam-5743	133	19	definition	definition	NOUN
ejpam-5743	133	20	2	2	NUM
ejpam-5743	133	21	.	.	PUNCT
ejpam-5743	134	1	we	we	PRON
ejpam-5743	134	2	say	say	VERB
ejpam-5743	134	3	that	that	SCONJ
ejpam-5743	134	4	the	the	DET
ejpam-5743	134	5	riemannian	riemannian	ADJ
ejpam-5743	134	6	metric	metric	ADJ
ejpam-5743	134	7	g	g	PROPN
ejpam-5743	134	8	is	be	AUX
ejpam-5743	134	9	associated	associate	VERB
ejpam-5743	134	10	with	with	ADP
ejpam-5743	134	11	the	the	DET
ejpam-5743	134	12	pair	pair	NOUN
ejpam-5743	134	13	(	(	PUNCT
ejpam-5743	134	14	ω	ω	PROPN
ejpam-5743	134	15	,	,	PUNCT
ejpam-5743	134	16	θ	θ	NOUN
ejpam-5743	134	17	)	)	PUNCT
ejpam-5743	134	18	if	if	SCONJ
ejpam-5743	134	19	♯ω	♯ω	NUM
ejpam-5743	134	20	,	,	PUNCT
ejpam-5743	134	21	θ	θ	NOUN
ejpam-5743	134	22	:	:	PUNCT
ejpam-5743	134	23	=	=	SYM
ejpam-5743	134	24	♯π	♯π	PROPN
ejpam-5743	134	25	,	,	PUNCT
ejpam-5743	134	26	e	e	PROPN
ejpam-5743	134	27	is	be	AUX
ejpam-5743	134	28	an	an	DET
ejpam-5743	134	29	isometry	isometry	NOUN
ejpam-5743	134	30	,	,	PUNCT
ejpam-5743	134	31	i.e.	i.e.	X
ejpam-5743	134	32	if	if	SCONJ
ejpam-5743	134	33	g	g	PROPN
ejpam-5743	134	34	(	(	PUNCT
ejpam-5743	134	35	♯ω	♯ω	NOUN
ejpam-5743	134	36	,	,	PUNCT
ejpam-5743	134	37	θ(α	θ(α	NOUN
ejpam-5743	134	38	)	)	PUNCT
ejpam-5743	134	39	,	,	PUNCT
ejpam-5743	134	40	♯ω	♯ω	NOUN
ejpam-5743	134	41	,	,	PUNCT
ejpam-5743	134	42	θ(β	θ(β	NOUN
ejpam-5743	134	43	)	)	PUNCT
ejpam-5743	134	44	)	)	PUNCT
ejpam-5743	135	1	=	=	PUNCT
ejpam-5743	135	2	g∗(α	g∗(α	PROPN
ejpam-5743	135	3	,	,	PUNCT
ejpam-5743	135	4	β	β	NOUN
ejpam-5743	135	5	)	)	PUNCT
ejpam-5743	135	6	,	,	PUNCT
ejpam-5743	135	7	for	for	ADP
ejpam-5743	135	8	all	all	DET
ejpam-5743	135	9	α	α	NOUN
ejpam-5743	135	10	,	,	PUNCT
ejpam-5743	135	11	β	β	X
ejpam-5743	135	12	∈	∈	PROPN
ejpam-5743	135	13	ω1(m	ω1(m	NUM
ejpam-5743	135	14	)	)	PUNCT
ejpam-5743	135	15	.	.	PUNCT
ejpam-5743	136	1	if	if	SCONJ
ejpam-5743	136	2	j	j	PROPN
ejpam-5743	136	3	and	and	CCONJ
ejpam-5743	136	4	j∗	j∗	PROPN
ejpam-5743	136	5	are	be	AUX
ejpam-5743	136	6	the	the	DET
ejpam-5743	136	7	endomorphism	endomorphism	PROPN
ejpam-5743	136	8	fields	field	NOUN
ejpam-5743	136	9	defined	define	VERB
ejpam-5743	136	10	by	by	ADP
ejpam-5743	136	11	the	the	DET
ejpam-5743	136	12	formulae	formulae	NOUN
ejpam-5743	136	13	(	(	PUNCT
ejpam-5743	136	14	4	4	NUM
ejpam-5743	136	15	)	)	PUNCT
ejpam-5743	136	16	,	,	PUNCT
ejpam-5743	136	17	then	then	ADV
ejpam-5743	136	18	g	g	PROPN
ejpam-5743	136	19	(	(	PUNCT
ejpam-5743	136	20	♯ω	♯ω	NOUN
ejpam-5743	136	21	,	,	PUNCT
ejpam-5743	136	22	θ(α	θ(α	NOUN
ejpam-5743	136	23	)	)	PUNCT
ejpam-5743	136	24	,	,	PUNCT
ejpam-5743	136	25	♯ω	♯ω	NOUN
ejpam-5743	136	26	,	,	PUNCT
ejpam-5743	136	27	θ(β	θ(β	NOUN
ejpam-5743	136	28	)	)	PUNCT
ejpam-5743	136	29	)	)	PUNCT
ejpam-5743	137	1	=	=	SYM
ejpam-5743	137	2	g	g	PROPN
ejpam-5743	137	3	(	(	PUNCT
ejpam-5743	137	4	♯ω(α	♯ω(α	PROPN
ejpam-5743	137	5	)	)	PUNCT
ejpam-5743	137	6	,	,	PUNCT
ejpam-5743	137	7	♯ω(β	♯ω(β	NOUN
ejpam-5743	137	8	)	)	PUNCT
ejpam-5743	137	9	)	)	PUNCT
ejpam-5743	138	1	=	=	PUNCT
ejpam-5743	138	2	g∗	g∗	PROPN
ejpam-5743	138	3	(	(	PUNCT
ejpam-5743	138	4	♭	♭	INTJ
ejpam-5743	138	5	g(♯ω(α	g(♯ω(α	NOUN
ejpam-5743	138	6	)	)	PUNCT
ejpam-5743	138	7	)	)	PUNCT
ejpam-5743	138	8	,	,	PUNCT
ejpam-5743	138	9	♭	♭	PROPN
ejpam-5743	138	10	g(♯ω(β	g(♯ω(β	NOUN
ejpam-5743	138	11	)	)	PUNCT
ejpam-5743	138	12	)	)	PUNCT
ejpam-5743	139	1	=	=	SYM
ejpam-5743	139	2	g∗(j∗α	g∗(j∗α	PROPN
ejpam-5743	139	3	,	,	PUNCT
ejpam-5743	139	4	j∗β	j∗β	NOUN
ejpam-5743	139	5	)	)	PUNCT
ejpam-5743	139	6	,	,	PUNCT
ejpam-5743	139	7	for	for	ADP
ejpam-5743	139	8	all	all	DET
ejpam-5743	139	9	α	α	NOUN
ejpam-5743	139	10	,	,	PUNCT
ejpam-5743	139	11	β	β	X
ejpam-5743	139	12	∈	∈	PROPN
ejpam-5743	139	13	ω1(m	ω1(m	NUM
ejpam-5743	139	14	)	)	PUNCT
ejpam-5743	139	15	.	.	PUNCT
ejpam-5743	140	1	theorem	theorem	NOUN
ejpam-5743	140	2	2	2	NUM
ejpam-5743	140	3	.	.	PUNCT
ejpam-5743	141	1	an	an	DET
ejpam-5743	141	2	almost	almost	ADV
ejpam-5743	141	3	jacobi	jacobi	PROPN
ejpam-5743	141	4	manifold	manifold	PROPN
ejpam-5743	141	5	(	(	PUNCT
ejpam-5743	141	6	m	m	PROPN
ejpam-5743	141	7	,	,	PUNCT
ejpam-5743	141	8	π	π	PROPN
ejpam-5743	141	9	,	,	PUNCT
ejpam-5743	141	10	g∗	g∗	PROPN
ejpam-5743	141	11	,	,	PUNCT
ejpam-5743	141	12	j∗	j∗	PROPN
ejpam-5743	141	13	)	)	PUNCT
ejpam-5743	141	14	with	with	ADP
ejpam-5743	141	15	non	non	ADJ
ejpam-5743	141	16	-	-	ADJ
ejpam-5743	141	17	degenerate	degenerate	ADJ
ejpam-5743	141	18	poisson	poisson	NOUN
ejpam-5743	141	19	bivector	bivector	NOUN
ejpam-5743	141	20	field	field	NOUN
ejpam-5743	141	21	π	π	PROPN
ejpam-5743	141	22	is	be	AUX
ejpam-5743	141	23	a	a	DET
ejpam-5743	141	24	jacobi	jacobi	PROPN
ejpam-5743	141	25	manifold	manifold	NOUN
ejpam-5743	141	26	if	if	SCONJ
ejpam-5743	141	27	and	and	CCONJ
ejpam-5743	141	28	only	only	ADV
ejpam-5743	141	29	if	if	SCONJ
ejpam-5743	141	30	(	(	PUNCT
ejpam-5743	141	31	m	m	PROPN
ejpam-5743	141	32	,	,	PUNCT
ejpam-5743	141	33	ω	ω	PROPN
ejpam-5743	141	34	,	,	PUNCT
ejpam-5743	141	35	g	g	PROPN
ejpam-5743	141	36	,	,	PUNCT
ejpam-5743	141	37	j	j	NOUN
ejpam-5743	141	38	)	)	PUNCT
ejpam-5743	141	39	is	be	AUX
ejpam-5743	141	40	a	a	DET
ejpam-5743	141	41	symplectic	symplectic	ADJ
ejpam-5743	141	42	manifold	manifold	NOUN
ejpam-5743	141	43	,	,	PUNCT
ejpam-5743	141	44	where	where	SCONJ
ejpam-5743	141	45	ω	ω	X
ejpam-5743	141	46	:	:	PUNCT
ejpam-5743	141	47	=	=	SYM
ejpam-5743	141	48	π−1	π−1	PROPN
ejpam-5743	141	49	.	.	PUNCT
ejpam-5743	142	1	proof	proof	NOUN
ejpam-5743	142	2	.	.	PUNCT
ejpam-5743	143	1	we	we	PRON
ejpam-5743	143	2	know	know	VERB
ejpam-5743	143	3	that	that	SCONJ
ejpam-5743	143	4	if	if	SCONJ
ejpam-5743	143	5	g	g	PROPN
ejpam-5743	143	6	is	be	AUX
ejpam-5743	143	7	positive	positive	ADJ
ejpam-5743	143	8	definite	definite	ADJ
ejpam-5743	143	9	,	,	PUNCT
ejpam-5743	143	10	the	the	DET
ejpam-5743	143	11	pair	pair	NOUN
ejpam-5743	143	12	(	(	PUNCT
ejpam-5743	143	13	ω	ω	NOUN
ejpam-5743	143	14	,	,	PUNCT
ejpam-5743	143	15	g	g	NOUN
ejpam-5743	143	16	)	)	PUNCT
ejpam-5743	143	17	is	be	AUX
ejpam-5743	143	18	an	an	DET
ejpam-5743	143	19	almost	almost	ADV
ejpam-5743	143	20	hermitian	hermitian	ADJ
ejpam-5743	143	21	structure	structure	NOUN
ejpam-5743	143	22	on	on	ADP
ejpam-5743	143	23	m	m	PROPN
ejpam-5743	143	24	and	and	CCONJ
ejpam-5743	143	25	that	that	SCONJ
ejpam-5743	143	26	j	j	PROPN
ejpam-5743	143	27	is	be	AUX
ejpam-5743	143	28	the	the	DET
ejpam-5743	143	29	associated	associated	ADJ
ejpam-5743	143	30	almost	almost	ADV
ejpam-5743	143	31	complex	complex	ADJ
ejpam-5743	143	32	structure	structure	NOUN
ejpam-5743	143	33	,	,	PUNCT
ejpam-5743	143	34	i.e.	i.e.	X
ejpam-5743	143	35	we	we	PRON
ejpam-5743	143	36	have	have	VERB
ejpam-5743	143	37	g(jx	g(jx	NOUN
ejpam-5743	143	38	,	,	PUNCT
ejpam-5743	143	39	jy	jy	PROPN
ejpam-5743	143	40	)	)	PUNCT
ejpam-5743	144	1	=	=	SYM
ejpam-5743	144	2	g(x	g(x	NOUN
ejpam-5743	144	3	,	,	PUNCT
ejpam-5743	144	4	y	y	PROPN
ejpam-5743	144	5	)	)	PUNCT
ejpam-5743	144	6	and	and	CCONJ
ejpam-5743	144	7	ω(x	ω(x	NOUN
ejpam-5743	144	8	,	,	PUNCT
ejpam-5743	144	9	y	y	NOUN
ejpam-5743	144	10	)	)	PUNCT
ejpam-5743	145	1	=	=	SYM
ejpam-5743	145	2	g(x	g(x	PROPN
ejpam-5743	145	3	,	,	PUNCT
ejpam-5743	145	4	jy	jy	PROPN
ejpam-5743	145	5	)	)	PUNCT
ejpam-5743	145	6	,	,	PUNCT
ejpam-5743	145	7	for	for	ADP
ejpam-5743	145	8	all	all	DET
ejpam-5743	145	9	x	x	NOUN
ejpam-5743	145	10	,	,	PUNCT
ejpam-5743	145	11	y	y	PROPN
ejpam-5743	145	12	∈	∈	PROPN
ejpam-5743	145	13	tm	tm	PROPN
ejpam-5743	145	14	.	.	PUNCT
ejpam-5743	146	1	from	from	ADP
ejpam-5743	146	2	the	the	DET
ejpam-5743	146	3	equivalence	equivalence	NOUN
ejpam-5743	146	4	j∗	j∗	NOUN
ejpam-5743	146	5	=	=	SYM
ejpam-5743	146	6	♭	♭	PROPN
ejpam-5743	146	7	g	g	PROPN
ejpam-5743	146	8	◦	◦	NOUN
ejpam-5743	146	9	j	j	PROPN
ejpam-5743	146	10	◦	◦	NOUN
ejpam-5743	146	11	♯g	♯g	NUM
ejpam-5743	146	12	⇐	⇐	ADJ
ejpam-5743	146	13	⇒	⇒	NOUN
ejpam-5743	146	14	♯g	♯g	PROPN
ejpam-5743	146	15	◦	◦	NOUN
ejpam-5743	146	16	j∗	j∗	ADJ
ejpam-5743	146	17	◦	◦	NOUN
ejpam-5743	146	18	♭	♭	PROPN
ejpam-5743	146	19	g	g	PROPN
ejpam-5743	146	20	=	=	SYM
ejpam-5743	146	21	j	j	PROPN
ejpam-5743	146	22	,	,	PUNCT
ejpam-5743	146	23	we	we	PRON
ejpam-5743	146	24	get	get	VERB
ejpam-5743	146	25	j∗	j∗	ADJ
ejpam-5743	146	26	◦	◦	NOUN
ejpam-5743	146	27	♭	♭	NOUN
ejpam-5743	146	28	g	g	NOUN
ejpam-5743	146	29	=	=	SYM
ejpam-5743	146	30	♭	♭	PROPN
ejpam-5743	146	31	g	g	PROPN
ejpam-5743	146	32	◦	◦	PROPN
ejpam-5743	146	33	j	j	PROPN
ejpam-5743	146	34	and	and	CCONJ
ejpam-5743	146	35	ω	ω	NUM
ejpam-5743	146	36	♭	♭	PROPN
ejpam-5743	146	37	◦	◦	NOUN
ejpam-5743	146	38	π♯	π♯	X
ejpam-5743	146	39	=	=	SYM
ejpam-5743	146	40	i	i	PROPN
ejpam-5743	146	41	d	d	PROPN
ejpam-5743	146	42	,	,	PUNCT
ejpam-5743	146	43	and	and	CCONJ
ejpam-5743	146	44	therefore	therefore	ADV
ejpam-5743	146	45	(	(	PUNCT
ejpam-5743	146	46	π	π	PROPN
ejpam-5743	146	47	,	,	PUNCT
ejpam-5743	146	48	g∗	g∗	PROPN
ejpam-5743	146	49	,	,	PUNCT
ejpam-5743	146	50	j∗	j∗	PROPN
ejpam-5743	146	51	)	)	PUNCT
ejpam-5743	146	52	is	be	AUX
ejpam-5743	146	53	jacobian	jacobian	ADJ
ejpam-5743	146	54	if	if	SCONJ
ejpam-5743	146	55	and	and	CCONJ
ejpam-5743	146	56	only	only	ADV
ejpam-5743	146	57	if	if	SCONJ
ejpam-5743	146	58	(	(	PUNCT
ejpam-5743	146	59	ω	ω	NOUN
ejpam-5743	146	60	,	,	PUNCT
ejpam-5743	146	61	g	g	PROPN
ejpam-5743	146	62	,	,	PUNCT
ejpam-5743	146	63	j	j	NOUN
ejpam-5743	146	64	)	)	PUNCT
ejpam-5743	146	65	is	be	AUX
ejpam-5743	146	66	symplectic	symplectic	ADJ
ejpam-5743	146	67	.	.	PUNCT
ejpam-5743	147	1	the	the	DET
ejpam-5743	147	2	conclusion	conclusion	NOUN
ejpam-5743	147	3	follows	follow	VERB
ejpam-5743	147	4	from	from	ADP
ejpam-5743	147	5	[	[	X
ejpam-5743	147	6	7	7	NUM
ejpam-5743	147	7	,	,	PUNCT
ejpam-5743	147	8	corollary	corollary	ADJ
ejpam-5743	147	9	2.2	2.2	NUM
ejpam-5743	147	10	]	]	PUNCT
ejpam-5743	147	11	,	,	PUNCT
ejpam-5743	147	12	to	to	PART
ejpam-5743	147	13	see	see	VERB
ejpam-5743	147	14	that	that	PRON
ejpam-5743	147	15	dπ(α	dπ(α	VERB
ejpam-5743	147	16	,	,	PUNCT
ejpam-5743	147	17	β	β	X
ejpam-5743	147	18	,	,	PUNCT
ejpam-5743	147	19	γ	γ	NOUN
ejpam-5743	147	20	)	)	PUNCT
ejpam-5743	147	21	=	=	PUNCT
ejpam-5743	147	22	∇ω(♯ω	∇ω(♯ω	NOUN
ejpam-5743	147	23	,	,	PUNCT
ejpam-5743	147	24	θ(α	θ(α	NOUN
ejpam-5743	147	25	)	)	PUNCT
ejpam-5743	147	26	,	,	PUNCT
ejpam-5743	147	27	♯ω	♯ω	NOUN
ejpam-5743	147	28	,	,	PUNCT
ejpam-5743	147	29	θ(β	θ(β	PROPN
ejpam-5743	147	30	)	)	PUNCT
ejpam-5743	147	31	,	,	PUNCT
ejpam-5743	147	32	♯ω	♯ω	NOUN
ejpam-5743	147	33	,	,	PUNCT
ejpam-5743	147	34	θ(γ	θ(γ	ADV
ejpam-5743	147	35	)	)	PUNCT
ejpam-5743	147	36	)	)	PUNCT
ejpam-5743	147	37	.	.	PUNCT
ejpam-5743	147	38	.	.	PUNCT
ejpam-5743	148	1	theorem	theorem	ADJ
ejpam-5743	148	2	3	3	NUM
ejpam-5743	149	1	.	.	PUNCT
ejpam-5743	149	2	assume	assume	VERB
ejpam-5743	149	3	that	that	SCONJ
ejpam-5743	149	4	(	(	PUNCT
ejpam-5743	149	5	π	π	X
ejpam-5743	149	6	,	,	PUNCT
ejpam-5743	149	7	e	e	NOUN
ejpam-5743	149	8	)	)	PUNCT
ejpam-5743	149	9	is	be	AUX
ejpam-5743	149	10	a	a	DET
ejpam-5743	149	11	jacobi	jacobi	PROPN
ejpam-5743	149	12	structure	structure	NOUN
ejpam-5743	149	13	and	and	CCONJ
ejpam-5743	149	14	α	α	NOUN
ejpam-5743	149	15	,	,	PUNCT
ejpam-5743	149	16	β	β	X
ejpam-5743	149	17	,	,	PUNCT
ejpam-5743	149	18	γ	γ	PROPN
ejpam-5743	149	19	∈	∈	PROPN
ejpam-5743	149	20	ω1(m	ω1(m	NUM
ejpam-5743	149	21	)	)	PUNCT
ejpam-5743	149	22	.	.	PUNCT
ejpam-5743	150	1	we	we	PRON
ejpam-5743	150	2	have	have	VERB
ejpam-5743	150	3	the	the	DET
ejpam-5743	150	4	following	follow	VERB
ejpam-5743	150	5	property	property	NOUN
ejpam-5743	150	6	(	(	PUNCT
ejpam-5743	150	7	l♯π	l♯π	NUM
ejpam-5743	150	8	,	,	PUNCT
ejpam-5743	150	9	e(α)π)(β	e(α)π)(β	NOUN
ejpam-5743	150	10	,	,	PUNCT
ejpam-5743	150	11	γ	γ	NOUN
ejpam-5743	150	12	)	)	PUNCT
ejpam-5743	150	13	=	=	SYM
ejpam-5743	150	14	l♯π(α)π(β	l♯π(α)π(β	NOUN
ejpam-5743	150	15	,	,	PUNCT
ejpam-5743	150	16	γ)−	γ)−	PROPN
ejpam-5743	150	17	{	{	PUNCT
ejpam-5743	150	18	γ(e)π	γ(e)π	NOUN
ejpam-5743	150	19	(	(	PUNCT
ejpam-5743	150	20	β	β	NOUN
ejpam-5743	150	21	,	,	PUNCT
ejpam-5743	150	22	dα(e	dα(e	PROPN
ejpam-5743	150	23	)	)	PUNCT
ejpam-5743	150	24	)	)	PUNCT
ejpam-5743	151	1	−	−	PROPN
ejpam-5743	152	1	β(e)π	β(e)π	PUNCT
ejpam-5743	152	2	(	(	PUNCT
ejpam-5743	152	3	γ	γ	NOUN
ejpam-5743	152	4	,	,	PUNCT
ejpam-5743	152	5	dα(e	dα(e	ADJ
ejpam-5743	152	6	)	)	PUNCT
ejpam-5743	152	7	)	)	PUNCT
ejpam-5743	152	8	}	}	PUNCT
ejpam-5743	152	9	.	.	PUNCT
ejpam-5743	153	1	proof	proof	NOUN
ejpam-5743	153	2	.	.	PUNCT
ejpam-5743	154	1	since	since	SCONJ
ejpam-5743	154	2	♯π	♯π	PROPN
ejpam-5743	154	3	,	,	PUNCT
ejpam-5743	154	4	e(α	e(α	NUM
ejpam-5743	154	5	)	)	PUNCT
ejpam-5743	154	6	=	=	SYM
ejpam-5743	154	7	♯π(α	♯π(α	NOUN
ejpam-5743	154	8	)	)	PUNCT
ejpam-5743	154	9	+	+	CCONJ
ejpam-5743	154	10	α(e)e	α(e)e	NOUN
ejpam-5743	154	11	,	,	PUNCT
ejpam-5743	154	12	we	we	PRON
ejpam-5743	154	13	have	have	VERB
ejpam-5743	154	14	(	(	PUNCT
ejpam-5743	154	15	l♯π	l♯π	ADJ
ejpam-5743	154	16	,	,	PUNCT
ejpam-5743	154	17	e(α)π)(β	e(α)π)(β	NOUN
ejpam-5743	154	18	,	,	PUNCT
ejpam-5743	154	19	γ	γ	NOUN
ejpam-5743	154	20	)	)	PUNCT
ejpam-5743	154	21	=	=	SYM
ejpam-5743	154	22	♯π(α)π(β	♯π(α)π(β	NOUN
ejpam-5743	154	23	,	,	PUNCT
ejpam-5743	154	24	γ	γ	NOUN
ejpam-5743	154	25	)	)	PUNCT
ejpam-5743	155	1	+	+	PUNCT
ejpam-5743	155	2	α(e)e	α(e)e	NOUN
ejpam-5743	155	3	·	·	PUNCT
ejpam-5743	155	4	π(β	π(β	NOUN
ejpam-5743	155	5	,	,	PUNCT
ejpam-5743	155	6	γ	γ	NOUN
ejpam-5743	155	7	)	)	PUNCT
ejpam-5743	155	8	−π(β	−π(β	PROPN
ejpam-5743	155	9	,	,	PUNCT
ejpam-5743	155	10	l♯π(α)+α(e)eγ)−	l♯π(α)+α(e)eγ)−	PROPN
ejpam-5743	155	11	π(l♯π(α)+α(e)eβ	π(l♯π(α)+α(e)eβ	NUM
ejpam-5743	155	12	,	,	PUNCT
ejpam-5743	155	13	γ	γ	NOUN
ejpam-5743	155	14	)	)	PUNCT
ejpam-5743	155	15	.	.	PUNCT
ejpam-5743	156	1	(	(	PUNCT
ejpam-5743	156	2	5	5	X
ejpam-5743	156	3	)	)	PUNCT
ejpam-5743	156	4	moreover	moreover	ADV
ejpam-5743	156	5	,	,	PUNCT
ejpam-5743	156	6	we	we	PRON
ejpam-5743	156	7	know	know	VERB
ejpam-5743	156	8	that	that	SCONJ
ejpam-5743	156	9	,	,	PUNCT
ejpam-5743	156	10	for	for	ADP
ejpam-5743	156	11	all	all	DET
ejpam-5743	156	12	vector	vector	NOUN
ejpam-5743	156	13	fields	field	NOUN
ejpam-5743	156	14	x	x	PUNCT
ejpam-5743	156	15	and	and	CCONJ
ejpam-5743	156	16	y	y	PROPN
ejpam-5743	156	17	on	on	ADP
ejpam-5743	156	18	tm	tm	PROPN
ejpam-5743	156	19	,	,	PUNCT
ejpam-5743	156	20	α	α	PROPN
ejpam-5743	156	21	∈	∈	NOUN
ejpam-5743	156	22	ω1(m	ω1(m	NUM
ejpam-5743	156	23	)	)	PUNCT
ejpam-5743	156	24	and	and	CCONJ
ejpam-5743	156	25	f	f	PROPN
ejpam-5743	156	26	a	a	DET
ejpam-5743	156	27	smooth	smooth	ADJ
ejpam-5743	156	28	function	function	NOUN
ejpam-5743	156	29	on	on	ADP
ejpam-5743	156	30	m	m	PROPN
ejpam-5743	156	31	,	,	PUNCT
ejpam-5743	156	32	we	we	PRON
ejpam-5743	156	33	have	have	VERB
ejpam-5743	156	34	lx+fy	lx+fy	ADP
ejpam-5743	156	35	α	α	NOUN
ejpam-5743	156	36	=	=	PRON
ejpam-5743	156	37	lxα+	lxα+	NOUN
ejpam-5743	156	38	fly	fly	VERB
ejpam-5743	156	39	α+	α+	PRON
ejpam-5743	156	40	α(y	α(y	NOUN
ejpam-5743	156	41	)	)	PUNCT
ejpam-5743	156	42	df	df	PROPN
ejpam-5743	156	43	.	.	PUNCT
ejpam-5743	156	44	m.	m.	PROPN
ejpam-5743	156	45	s.	s.	PROPN
ejpam-5743	156	46	ali	ali	PROPN
ejpam-5743	156	47	et	et	PROPN
ejpam-5743	156	48	al	al	PROPN
ejpam-5743	156	49	.	.	PUNCT
ejpam-5743	156	50	/	/	SYM
ejpam-5743	156	51	eur	eur	PROPN
ejpam-5743	156	52	.	.	PUNCT
ejpam-5743	157	1	j.	j.	PROPN
ejpam-5743	157	2	pure	pure	PROPN
ejpam-5743	157	3	appl	appl	PROPN
ejpam-5743	157	4	.	.	PROPN
ejpam-5743	157	5	math	math	PROPN
ejpam-5743	157	6	,	,	PUNCT
ejpam-5743	157	7	18	18	NUM
ejpam-5743	157	8	(	(	PUNCT
ejpam-5743	157	9	3	3	NUM
ejpam-5743	157	10	)	)	PUNCT
ejpam-5743	157	11	(	(	PUNCT
ejpam-5743	157	12	2025	2025	NUM
ejpam-5743	157	13	)	)	PUNCT
ejpam-5743	157	14	,	,	PUNCT
ejpam-5743	157	15	5743	5743	NUM
ejpam-5743	157	16	7	7	NUM
ejpam-5743	157	17	of	of	ADP
ejpam-5743	157	18	14	14	NUM
ejpam-5743	157	19	so	so	ADV
ejpam-5743	157	20	by	by	ADP
ejpam-5743	157	21	setting	set	VERB
ejpam-5743	157	22	x	x	X
ejpam-5743	157	23	=	=	SYM
ejpam-5743	157	24	♯π(α	♯π(α	PROPN
ejpam-5743	157	25	)	)	PUNCT
ejpam-5743	157	26	,	,	PUNCT
ejpam-5743	157	27	y	y	PROPN
ejpam-5743	157	28	=	=	SYM
ejpam-5743	157	29	e	e	PROPN
ejpam-5743	157	30	and	and	CCONJ
ejpam-5743	157	31	f	f	PROPN
ejpam-5743	157	32	=	=	SYM
ejpam-5743	157	33	α(e	α(e	PROPN
ejpam-5743	157	34	)	)	PUNCT
ejpam-5743	158	1	,	,	PUNCT
ejpam-5743	158	2	we	we	PRON
ejpam-5743	158	3	have	have	VERB
ejpam-5743	158	4	π(β	π(β	NOUN
ejpam-5743	158	5	,	,	PUNCT
ejpam-5743	158	6	l♯π(α)+α(e)eγ	l♯π(α)+α(e)eγ	NOUN
ejpam-5743	158	7	)	)	PUNCT
ejpam-5743	158	8	=	=	SYM
ejpam-5743	158	9	π(β	π(β	NOUN
ejpam-5743	158	10	,	,	PUNCT
ejpam-5743	158	11	l♯π(α)γ	l♯π(α)γ	PROPN
ejpam-5743	158	12	)	)	PUNCT
ejpam-5743	159	1	+	+	CCONJ
ejpam-5743	159	2	π(β	π(β	NOUN
ejpam-5743	159	3	,	,	PUNCT
ejpam-5743	159	4	α(e)leγ	α(e)leγ	PROPN
ejpam-5743	159	5	+	+	PROPN
ejpam-5743	159	6	γ(e)d(α(e	γ(e)d(α(e	PROPN
ejpam-5743	159	7	)	)	PUNCT
ejpam-5743	159	8	)	)	PUNCT
ejpam-5743	159	9	)	)	PUNCT
ejpam-5743	160	1	=	=	SYM
ejpam-5743	160	2	π(β	π(β	NOUN
ejpam-5743	160	3	,	,	PUNCT
ejpam-5743	160	4	l♯π(α)γ	l♯π(α)γ	PROPN
ejpam-5743	160	5	)	)	PUNCT
ejpam-5743	160	6	+	+	CCONJ
ejpam-5743	160	7	π(β	π(β	NOUN
ejpam-5743	160	8	,	,	PUNCT
ejpam-5743	160	9	α(e)leγ	α(e)leγ	PROPN
ejpam-5743	160	10	)	)	PUNCT
ejpam-5743	160	11	+	+	CCONJ
ejpam-5743	160	12	π(β	π(β	NOUN
ejpam-5743	160	13	,	,	PUNCT
ejpam-5743	160	14	γ(e)d(α(e	γ(e)d(α(e	PROPN
ejpam-5743	160	15	)	)	PUNCT
ejpam-5743	160	16	)	)	PUNCT
ejpam-5743	160	17	)	)	PUNCT
ejpam-5743	161	1	π(l♯π(α)+α(e)eβ	π(l♯π(α)+α(e)eβ	ADV
ejpam-5743	161	2	,	,	PUNCT
ejpam-5743	161	3	γ	γ	NOUN
ejpam-5743	161	4	)	)	PUNCT
ejpam-5743	161	5	=	=	SYM
ejpam-5743	161	6	π(l♯π(α)β	π(l♯π(α)β	ADJ
ejpam-5743	161	7	,	,	PUNCT
ejpam-5743	161	8	γ	γ	NOUN
ejpam-5743	161	9	)	)	PUNCT
ejpam-5743	161	10	+	+	NUM
ejpam-5743	161	11	π(α(e)leβ	π(α(e)leβ	NOUN
ejpam-5743	161	12	+	+	CCONJ
ejpam-5743	161	13	β(e)d(α(e	β(e)d(α(e	PROPN
ejpam-5743	161	14	)	)	PUNCT
ejpam-5743	161	15	)	)	PUNCT
ejpam-5743	161	16	,	,	PUNCT
ejpam-5743	161	17	γ	γ	X
ejpam-5743	161	18	)	)	PUNCT
ejpam-5743	161	19	=	=	SYM
ejpam-5743	161	20	π(l♯π(α)β	π(l♯π(α)β	ADJ
ejpam-5743	161	21	,	,	PUNCT
ejpam-5743	161	22	γ	γ	NOUN
ejpam-5743	161	23	)	)	PUNCT
ejpam-5743	161	24	+	+	NUM
ejpam-5743	161	25	π(α(e)leβ	π(α(e)leβ	PROPN
ejpam-5743	161	26	,	,	PUNCT
ejpam-5743	161	27	γ	γ	NOUN
ejpam-5743	161	28	)	)	PUNCT
ejpam-5743	161	29	+	+	NUM
ejpam-5743	161	30	π(β(e)d(α(e	π(β(e)d(α(e	NOUN
ejpam-5743	161	31	)	)	PUNCT
ejpam-5743	161	32	)	)	PUNCT
ejpam-5743	161	33	,	,	PUNCT
ejpam-5743	161	34	γ	γ	X
ejpam-5743	161	35	)	)	PUNCT
ejpam-5743	161	36	.	.	PUNCT
ejpam-5743	162	1	then	then	ADV
ejpam-5743	162	2	(	(	PUNCT
ejpam-5743	162	3	5	5	NUM
ejpam-5743	162	4	)	)	PUNCT
ejpam-5743	162	5	,	,	PUNCT
ejpam-5743	162	6	become	become	VERB
ejpam-5743	162	7	(	(	PUNCT
ejpam-5743	162	8	l♯π	l♯π	ADJ
ejpam-5743	162	9	,	,	PUNCT
ejpam-5743	162	10	e(α)π)(β	e(α)π)(β	NOUN
ejpam-5743	162	11	,	,	PUNCT
ejpam-5743	162	12	γ	γ	NOUN
ejpam-5743	162	13	)	)	PUNCT
ejpam-5743	162	14	=	=	SYM
ejpam-5743	162	15	♯π(α)π(β	♯π(α)π(β	NOUN
ejpam-5743	162	16	,	,	PUNCT
ejpam-5743	162	17	γ	γ	NOUN
ejpam-5743	162	18	)	)	PUNCT
ejpam-5743	163	1	+	+	PUNCT
ejpam-5743	163	2	α(e)e	α(e)e	NOUN
ejpam-5743	163	3	·	·	PUNCT
ejpam-5743	163	4	π(β	π(β	NOUN
ejpam-5743	163	5	,	,	PUNCT
ejpam-5743	163	6	γ	γ	NOUN
ejpam-5743	163	7	)	)	PUNCT
ejpam-5743	163	8	−	−	PROPN
ejpam-5743	163	9	(	(	PUNCT
ejpam-5743	163	10	π(β	π(β	NOUN
ejpam-5743	163	11	,	,	PUNCT
ejpam-5743	163	12	l♯π(α)γ	l♯π(α)γ	PROPN
ejpam-5743	163	13	)	)	PUNCT
ejpam-5743	164	1	+	+	CCONJ
ejpam-5743	164	2	π(β	π(β	NOUN
ejpam-5743	164	3	,	,	PUNCT
ejpam-5743	164	4	α(e)leγ	α(e)leγ	PROPN
ejpam-5743	164	5	)	)	PUNCT
ejpam-5743	164	6	+	+	CCONJ
ejpam-5743	164	7	π(β	π(β	NOUN
ejpam-5743	164	8	,	,	PUNCT
ejpam-5743	164	9	γ(e)d(α(e	γ(e)d(α(e	PROPN
ejpam-5743	164	10	)	)	PUNCT
ejpam-5743	164	11	)	)	PUNCT
ejpam-5743	164	12	)	)	PUNCT
ejpam-5743	164	13	)	)	PUNCT
ejpam-5743	165	1	−	−	PROPN
ejpam-5743	165	2	(	(	PUNCT
ejpam-5743	165	3	π(l♯π(α)β	π(l♯π(α)β	PROPN
ejpam-5743	165	4	,	,	PUNCT
ejpam-5743	165	5	γ	γ	NOUN
ejpam-5743	165	6	)	)	PUNCT
ejpam-5743	165	7	+	+	NUM
ejpam-5743	165	8	π(α(e)leβ	π(α(e)leβ	PROPN
ejpam-5743	165	9	,	,	PUNCT
ejpam-5743	165	10	γ	γ	NOUN
ejpam-5743	165	11	)	)	PUNCT
ejpam-5743	165	12	+	+	NUM
ejpam-5743	165	13	π(β(e)d(α(e	π(β(e)d(α(e	NOUN
ejpam-5743	165	14	)	)	PUNCT
ejpam-5743	165	15	)	)	PUNCT
ejpam-5743	165	16	,	,	PUNCT
ejpam-5743	165	17	γ	γ	NOUN
ejpam-5743	165	18	)	)	PUNCT
ejpam-5743	165	19	)	)	PUNCT
ejpam-5743	166	1	=	=	SYM
ejpam-5743	166	2	♯π(α)π(β	♯π(α)π(β	NOUN
ejpam-5743	166	3	,	,	PUNCT
ejpam-5743	166	4	γ)−	γ)−	PROPN
ejpam-5743	166	5	π(β	π(β	PROPN
ejpam-5743	166	6	,	,	PUNCT
ejpam-5743	166	7	l♯π(α)γ)−	l♯π(α)γ)−	PROPN
ejpam-5743	166	8	π(l♯π(α)β	π(l♯π(α)β	VERB
ejpam-5743	166	9	,	,	PUNCT
ejpam-5743	166	10	γ	γ	NOUN
ejpam-5743	166	11	)	)	PUNCT
ejpam-5743	166	12	+	+	NOUN
ejpam-5743	166	13	α(e	α(e	NOUN
ejpam-5743	166	14	)	)	PUNCT
ejpam-5743	166	15	(	(	PUNCT
ejpam-5743	166	16	e	e	X
ejpam-5743	166	17	·	·	PUNCT
ejpam-5743	166	18	π(β	π(β	NOUN
ejpam-5743	166	19	,	,	PUNCT
ejpam-5743	166	20	γ)−	γ)−	PROPN
ejpam-5743	166	21	π(β	π(β	PROPN
ejpam-5743	166	22	,	,	PUNCT
ejpam-5743	166	23	leγ)−	leγ)−	PROPN
ejpam-5743	166	24	π(leβ	π(leβ	PROPN
ejpam-5743	166	25	,	,	PUNCT
ejpam-5743	166	26	γ	γ	NOUN
ejpam-5743	166	27	)	)	PUNCT
ejpam-5743	166	28	)	)	PUNCT
ejpam-5743	166	29	−	−	PROPN
ejpam-5743	167	1	(	(	PUNCT
ejpam-5743	167	2	π(β	π(β	NOUN
ejpam-5743	167	3	,	,	PUNCT
ejpam-5743	167	4	γ(e)dα(e	γ(e)dα(e	PROPN
ejpam-5743	167	5	)	)	PUNCT
ejpam-5743	167	6	)	)	PUNCT
ejpam-5743	168	1	+	+	CCONJ
ejpam-5743	168	2	π(β(e)dα(e	π(β(e)dα(e	PROPN
ejpam-5743	168	3	)	)	PUNCT
ejpam-5743	168	4	,	,	PUNCT
ejpam-5743	168	5	γ	γ	NOUN
ejpam-5743	168	6	)	)	PUNCT
ejpam-5743	168	7	)	)	PUNCT
ejpam-5743	168	8	=	=	SYM
ejpam-5743	168	9	(	(	PUNCT
ejpam-5743	168	10	l♯π(α)π)(β	l♯π(α)π)(β	NOUN
ejpam-5743	168	11	,	,	PUNCT
ejpam-5743	168	12	γ	γ	NOUN
ejpam-5743	168	13	)	)	PUNCT
ejpam-5743	168	14	+	+	NUM
ejpam-5743	168	15	α(e)leπ(β	α(e)leπ(β	NOUN
ejpam-5743	168	16	,	,	PUNCT
ejpam-5743	168	17	γ	γ	NOUN
ejpam-5743	168	18	)	)	PUNCT
ejpam-5743	168	19	−	−	PROPN
ejpam-5743	168	20	(	(	PUNCT
ejpam-5743	168	21	π(β	π(β	NOUN
ejpam-5743	168	22	,	,	PUNCT
ejpam-5743	168	23	γ(e)dα(e	γ(e)dα(e	PROPN
ejpam-5743	168	24	)	)	PUNCT
ejpam-5743	168	25	)	)	PUNCT
ejpam-5743	169	1	+	+	CCONJ
ejpam-5743	169	2	π(β(e)dα(e	π(β(e)dα(e	PROPN
ejpam-5743	169	3	)	)	PUNCT
ejpam-5743	169	4	,	,	PUNCT
ejpam-5743	169	5	γ	γ	NOUN
ejpam-5743	169	6	)	)	PUNCT
ejpam-5743	169	7	)	)	PUNCT
ejpam-5743	169	8	=	=	SYM
ejpam-5743	169	9	(	(	PUNCT
ejpam-5743	169	10	l♯π(α)π)(β	l♯π(α)π)(β	NOUN
ejpam-5743	169	11	,	,	PUNCT
ejpam-5743	169	12	γ)−	γ)−	PROPN
ejpam-5743	169	13	{	{	PUNCT
ejpam-5743	169	14	γ(e)π	γ(e)π	NOUN
ejpam-5743	169	15	(	(	PUNCT
ejpam-5743	169	16	β	β	NOUN
ejpam-5743	169	17	,	,	PUNCT
ejpam-5743	169	18	dα(e	dα(e	PROPN
ejpam-5743	169	19	)	)	PUNCT
ejpam-5743	169	20	)	)	PUNCT
ejpam-5743	170	1	−	−	PROPN
ejpam-5743	171	1	β(e)π	β(e)π	PUNCT
ejpam-5743	171	2	(	(	PUNCT
ejpam-5743	171	3	γ	γ	NOUN
ejpam-5743	171	4	,	,	PUNCT
ejpam-5743	171	5	dα(e	dα(e	ADJ
ejpam-5743	171	6	)	)	PUNCT
ejpam-5743	171	7	)	)	PUNCT
ejpam-5743	171	8	}	}	PUNCT
ejpam-5743	171	9	.	.	PUNCT
ejpam-5743	172	1	we	we	PRON
ejpam-5743	172	2	can	can	AUX
ejpam-5743	172	3	conclude	conclude	VERB
ejpam-5743	172	4	by	by	ADP
ejpam-5743	172	5	[	[	X
ejpam-5743	172	6	13	13	NUM
ejpam-5743	172	7	,	,	PUNCT
ejpam-5743	172	8	section	section	NOUN
ejpam-5743	172	9	3	3	NUM
ejpam-5743	172	10	,	,	PUNCT
ejpam-5743	172	11	definition	definition	NOUN
ejpam-5743	172	12	and	and	CCONJ
ejpam-5743	172	13	properties	property	NOUN
ejpam-5743	172	14	,	,	PUNCT
ejpam-5743	172	15	iii	iii	NOUN
ejpam-5743	172	16	)	)	PUNCT
ejpam-5743	172	17	]	]	PUNCT
ejpam-5743	172	18	,	,	PUNCT
ejpam-5743	172	19	since	since	SCONJ
ejpam-5743	172	20	leπ	leπ	NOUN
ejpam-5743	172	21	=	=	SYM
ejpam-5743	172	22	0.gives	0.gives	NUM
ejpam-5743	172	23	us	we	PRON
ejpam-5743	172	24	a	a	DET
ejpam-5743	172	25	necessary	necessary	ADJ
ejpam-5743	172	26	condition	condition	NOUN
ejpam-5743	172	27	so	so	SCONJ
ejpam-5743	172	28	that	that	SCONJ
ejpam-5743	172	29	(	(	PUNCT
ejpam-5743	172	30	r3	r3	PROPN
ejpam-5743	172	31	,	,	PUNCT
ejpam-5743	172	32	g∗	g∗	PROPN
ejpam-5743	172	33	,	,	PUNCT
ejpam-5743	172	34	p	p	NOUN
ejpam-5743	172	35	)	)	PUNCT
ejpam-5743	172	36	is	be	AUX
ejpam-5743	172	37	a	a	DET
ejpam-5743	172	38	riemann	riemann	PROPN
ejpam-5743	172	39	-	-	PUNCT
ejpam-5743	172	40	poisson	poisson	PROPN
ejpam-5743	172	41	manifold	manifold	ADJ
ejpam-5743	172	42	using	use	VERB
ejpam-5743	172	43	divergence	divergence	NOUN
ejpam-5743	172	44	,	,	PUNCT
ejpam-5743	172	45	where	where	SCONJ
ejpam-5743	172	46	g∗	g∗	PROPN
ejpam-5743	172	47	is	be	AUX
ejpam-5743	172	48	the	the	DET
ejpam-5743	172	49	canonical	canonical	ADJ
ejpam-5743	172	50	metric	metric	NOUN
ejpam-5743	172	51	.	.	PUNCT
ejpam-5743	173	1	remark	remark	NOUN
ejpam-5743	173	2	1	1	NUM
ejpam-5743	173	3	.	.	PUNCT
ejpam-5743	174	1	if	if	SCONJ
ejpam-5743	174	2	♯π(α	♯π(α	ADP
ejpam-5743	174	3	)	)	PUNCT
ejpam-5743	174	4	=	=	SYM
ejpam-5743	174	5	e	e	NOUN
ejpam-5743	174	6	,	,	PUNCT
ejpam-5743	174	7	then	then	ADV
ejpam-5743	174	8	we	we	PRON
ejpam-5743	174	9	have	have	VERB
ejpam-5743	174	10	a	a	DET
ejpam-5743	174	11	hermitian	hermitian	ADJ
ejpam-5743	174	12	-	-	PUNCT
ejpam-5743	174	13	poisson	poisson	NOUN
ejpam-5743	174	14	manifold	manifold	NOUN
ejpam-5743	174	15	,	,	PUNCT
ejpam-5743	174	16	since	since	SCONJ
ejpam-5743	174	17	leπ	leπ	PROPN
ejpam-5743	174	18	=	=	SYM
ejpam-5743	174	19	0	0	PROPN
ejpam-5743	174	20	.	.	PUNCT
ejpam-5743	175	1	the	the	DET
ejpam-5743	175	2	characterization	characterization	NOUN
ejpam-5743	175	3	of	of	ADP
ejpam-5743	175	4	finite	finite	ADJ
ejpam-5743	175	5	dimensional	dimensional	ADJ
ejpam-5743	175	6	riemann	riemann	PROPN
ejpam-5743	175	7	-	-	PUNCT
ejpam-5743	175	8	poisson	poisson	NOUN
ejpam-5743	175	9	manifolds	manifold	NOUN
ejpam-5743	175	10	started	start	VERB
ejpam-5743	175	11	with	with	ADP
ejpam-5743	175	12	[	[	X
ejpam-5743	175	13	4	4	NUM
ejpam-5743	175	14	]	]	PUNCT
ejpam-5743	175	15	.	.	PUNCT
ejpam-5743	176	1	the	the	DET
ejpam-5743	176	2	following	follow	VERB
ejpam-5743	176	3	theorem	theorem	NOUN
ejpam-5743	176	4	gives	give	VERB
ejpam-5743	176	5	another	another	DET
ejpam-5743	176	6	method	method	NOUN
ejpam-5743	176	7	for	for	ADP
ejpam-5743	176	8	the	the	DET
ejpam-5743	176	9	characterization	characterization	NOUN
ejpam-5743	176	10	obtained	obtain	VERB
ejpam-5743	176	11	in	in	ADP
ejpam-5743	176	12	[	[	X
ejpam-5743	176	13	4	4	NUM
ejpam-5743	176	14	]	]	PUNCT
ejpam-5743	176	15	.	.	PUNCT
ejpam-5743	177	1	theorem	theorem	ADJ
ejpam-5743	177	2	4	4	NUM
ejpam-5743	177	3	.	.	PUNCT
ejpam-5743	178	1	if	if	SCONJ
ejpam-5743	178	2	the	the	DET
ejpam-5743	178	3	bivector	bivector	NOUN
ejpam-5743	178	4	field	field	NOUN
ejpam-5743	178	5	p	p	NOUN
ejpam-5743	178	6	is	be	AUX
ejpam-5743	178	7	compatible	compatible	ADJ
ejpam-5743	178	8	with	with	ADP
ejpam-5743	178	9	g∗	g∗	PROPN
ejpam-5743	178	10	then	then	ADV
ejpam-5743	178	11	there	there	PRON
ejpam-5743	178	12	exists	exist	VERB
ejpam-5743	178	13	a	a	DET
ejpam-5743	178	14	differential	differential	ADJ
ejpam-5743	178	15	function	function	NOUN
ejpam-5743	178	16	µ	µ	NOUN
ejpam-5743	178	17	on	on	ADP
ejpam-5743	178	18	r3	r3	PROPN
ejpam-5743	178	19	such	such	ADJ
ejpam-5743	178	20	that	that	SCONJ
ejpam-5743	178	21	p	p	NOUN
ejpam-5743	178	22	=	=	X
ejpam-5743	178	23	−	−	PROPN
ejpam-5743	179	1	(	(	PUNCT
ejpam-5743	179	2	∂µ	∂µ	PROPN
ejpam-5743	179	3	∂z	∂z	PROPN
ejpam-5743	179	4	)	)	PUNCT
ejpam-5743	179	5	∂	∂	NUM
ejpam-5743	179	6	∂x	∂x	PROPN
ejpam-5743	179	7	∧	∧	PROPN
ejpam-5743	179	8	∂	∂	NOUN
ejpam-5743	179	9	∂y	∂y	NOUN
ejpam-5743	180	1	+	+	CCONJ
ejpam-5743	180	2	(	(	PUNCT
ejpam-5743	180	3	∂µ	∂µ	PROPN
ejpam-5743	180	4	∂y	∂y	PROPN
ejpam-5743	180	5	)	)	PUNCT
ejpam-5743	180	6	∂	∂	NUM
ejpam-5743	180	7	∂x	∂x	PROPN
ejpam-5743	180	8	∧	∧	PROPN
ejpam-5743	180	9	∂	∂	NOUN
ejpam-5743	180	10	∂z	∂z	PROPN
ejpam-5743	181	1	−	−	PROPN
ejpam-5743	181	2	(	(	PUNCT
ejpam-5743	181	3	∂µ	∂µ	PROPN
ejpam-5743	181	4	∂x	∂x	PROPN
ejpam-5743	181	5	)	)	PUNCT
ejpam-5743	181	6	∂	∂	PUNCT
ejpam-5743	182	1	∂y	∂y	PROPN
ejpam-5743	182	2	∧	∧	PROPN
ejpam-5743	182	3	∂	∂	NOUN
ejpam-5743	182	4	∂z	∂z	PROPN
ejpam-5743	182	5	proof	proof	NOUN
ejpam-5743	182	6	.	.	PUNCT
ejpam-5743	183	1	according	accord	VERB
ejpam-5743	183	2	to	to	ADP
ejpam-5743	183	3	the	the	DET
ejpam-5743	183	4	work	work	NOUN
ejpam-5743	183	5	of	of	ADP
ejpam-5743	183	6	m.	m.	NOUN
ejpam-5743	183	7	boucetta	boucetta	NOUN
ejpam-5743	183	8	[	[	X
ejpam-5743	183	9	4	4	NUM
ejpam-5743	183	10	]	]	PUNCT
ejpam-5743	183	11	,	,	PUNCT
ejpam-5743	183	12	the	the	DET
ejpam-5743	183	13	compatibility	compatibility	NOUN
ejpam-5743	183	14	between	between	ADP
ejpam-5743	183	15	p	p	NOUN
ejpam-5743	183	16	and	and	CCONJ
ejpam-5743	183	17	g∗	g∗	PROPN
ejpam-5743	183	18	implies	imply	VERB
ejpam-5743	183	19	that	that	SCONJ
ejpam-5743	183	20	the	the	DET
ejpam-5743	183	21	application	application	NOUN
ejpam-5743	183	22	being	be	AUX
ejpam-5743	183	23	c∞	c∞	PROPN
ejpam-5743	183	24	(	(	PUNCT
ejpam-5743	183	25	r3	r3	PROPN
ejpam-5743	183	26	)	)	PUNCT
ejpam-5743	183	27	-bilinear	-bilinear	NOUN
ejpam-5743	183	28	(	(	PUNCT
ejpam-5743	183	29	α	α	NOUN
ejpam-5743	183	30	,	,	PUNCT
ejpam-5743	183	31	β	β	NOUN
ejpam-5743	183	32	)	)	PUNCT
ejpam-5743	183	33	7−→	7−→	PROPN
ejpam-5743	183	34	lhh	lhh	NOUN
ejpam-5743	183	35	g∗	g∗	PROPN
ejpam-5743	183	36	(	(	PUNCT
ejpam-5743	183	37	α	α	X
ejpam-5743	183	38	,	,	PUNCT
ejpam-5743	183	39	β	β	NOUN
ejpam-5743	183	40	)	)	PUNCT
ejpam-5743	183	41	=	=	SYM
ejpam-5743	183	42	g∗	g∗	INTJ
ejpam-5743	183	43	(	(	PUNCT
ejpam-5743	183	44	dp	dp	NOUN
ejpam-5743	183	45	α	α	PROPN
ejpam-5743	183	46	dh	dh	PROPN
ejpam-5743	183	47	,	,	PUNCT
ejpam-5743	183	48	β	β	X
ejpam-5743	183	49	)	)	PUNCT
ejpam-5743	184	1	+	+	CCONJ
ejpam-5743	184	2	g∗	g∗	PROPN
ejpam-5743	184	3	(	(	PUNCT
ejpam-5743	184	4	α	α	NOUN
ejpam-5743	184	5	,	,	PUNCT
ejpam-5743	184	6	dp	dp	NOUN
ejpam-5743	184	7	β	β	NOUN
ejpam-5743	184	8	dh	dh	NOUN
ejpam-5743	184	9	)	)	PUNCT
ejpam-5743	184	10	m.	m.	NOUN
ejpam-5743	184	11	s.	s.	PROPN
ejpam-5743	184	12	ali	ali	PROPN
ejpam-5743	184	13	et	et	PROPN
ejpam-5743	184	14	al	al	PROPN
ejpam-5743	184	15	.	.	PUNCT
ejpam-5743	184	16	/	/	SYM
ejpam-5743	184	17	eur	eur	PROPN
ejpam-5743	184	18	.	.	PUNCT
ejpam-5743	185	1	j.	j.	PROPN
ejpam-5743	185	2	pure	pure	PROPN
ejpam-5743	185	3	appl	appl	PROPN
ejpam-5743	185	4	.	.	PROPN
ejpam-5743	185	5	math	math	PROPN
ejpam-5743	185	6	,	,	PUNCT
ejpam-5743	185	7	18	18	NUM
ejpam-5743	185	8	(	(	PUNCT
ejpam-5743	185	9	3	3	NUM
ejpam-5743	185	10	)	)	PUNCT
ejpam-5743	185	11	(	(	PUNCT
ejpam-5743	185	12	2025	2025	NUM
ejpam-5743	185	13	)	)	PUNCT
ejpam-5743	185	14	,	,	PUNCT
ejpam-5743	185	15	5743	5743	NUM
ejpam-5743	185	16	8	8	NUM
ejpam-5743	185	17	of	of	ADP
ejpam-5743	185	18	14	14	NUM
ejpam-5743	185	19	which	which	PRON
ejpam-5743	185	20	is	be	AUX
ejpam-5743	185	21	anti	anti	ADJ
ejpam-5743	185	22	-	-	ADJ
ejpam-5743	185	23	symmetric	symmetric	ADJ
ejpam-5743	185	24	for	for	ADP
ejpam-5743	185	25	any	any	DET
ejpam-5743	185	26	differentiable	differentiable	ADJ
ejpam-5743	185	27	function	function	NOUN
ejpam-5743	185	28	h	h	NOUN
ejpam-5743	185	29	on	on	ADP
ejpam-5743	185	30	r3	r3	PROPN
ejpam-5743	185	31	,	,	PUNCT
ejpam-5743	185	32	where	where	SCONJ
ejpam-5743	185	33	hh	hh	PROPN
ejpam-5743	185	34	is	be	AUX
ejpam-5743	185	35	the	the	DET
ejpam-5743	185	36	hamiltonian	hamiltonian	ADJ
ejpam-5743	185	37	field	field	NOUN
ejpam-5743	185	38	of	of	ADP
ejpam-5743	185	39	h	h	NOUN
ejpam-5743	185	40	,	,	PUNCT
ejpam-5743	185	41	consequently	consequently	ADV
ejpam-5743	185	42	the	the	DET
ejpam-5743	185	43	vanishing	vanishing	NOUN
ejpam-5743	185	44	of	of	ADP
ejpam-5743	185	45	modular	modular	ADJ
ejpam-5743	185	46	vector	vector	NOUN
ejpam-5743	185	47	field	field	NOUN
ejpam-5743	185	48	given	give	VERB
ejpam-5743	185	49	by	by	ADP
ejpam-5743	185	50	ϕ	ϕ	PROPN
ejpam-5743	185	51	(	(	PUNCT
ejpam-5743	185	52	h	h	NOUN
ejpam-5743	185	53	)	)	PUNCT
ejpam-5743	185	54	:	:	PUNCT
ejpam-5743	186	1	=	=	SYM
ejpam-5743	186	2	g∗	g∗	PROPN
ejpam-5743	186	3	(	(	PUNCT
ejpam-5743	186	4	dp	dp	NOUN
ejpam-5743	186	5	dxdh	dxdh	PROPN
ejpam-5743	186	6	,	,	PUNCT
ejpam-5743	186	7	dx	dx	PROPN
ejpam-5743	186	8	)	)	PUNCT
ejpam-5743	187	1	+	+	CCONJ
ejpam-5743	187	2	g∗	g∗	PROPN
ejpam-5743	187	3	(	(	PUNCT
ejpam-5743	187	4	dp	dp	NOUN
ejpam-5743	187	5	dydh	dydh	NOUN
ejpam-5743	187	6	,	,	PUNCT
ejpam-5743	187	7	dy	dy	NOUN
ejpam-5743	187	8	)	)	PUNCT
ejpam-5743	187	9	+	+	CCONJ
ejpam-5743	188	1	g∗	g∗	PROPN
ejpam-5743	188	2	(	(	PUNCT
ejpam-5743	188	3	dp	dp	NOUN
ejpam-5743	188	4	dzdh	dzdh	NOUN
ejpam-5743	188	5	,	,	PUNCT
ejpam-5743	188	6	dz	dz	ADJ
ejpam-5743	188	7	)	)	PUNCT
ejpam-5743	188	8	∀	∀	PUNCT
ejpam-5743	188	9	h	h	NOUN
ejpam-5743	188	10	∈	∈	PROPN
ejpam-5743	188	11	c∞	c∞	PROPN
ejpam-5743	188	12	(	(	PUNCT
ejpam-5743	188	13	r3	r3	PROPN
ejpam-5743	188	14	)	)	PUNCT
ejpam-5743	188	15	.	.	PUNCT
ejpam-5743	189	1	we	we	PRON
ejpam-5743	189	2	calculate	calculate	VERB
ejpam-5743	189	3	ϕ	ϕ	PROPN
ejpam-5743	189	4	(	(	PUNCT
ejpam-5743	189	5	h	h	NOUN
ejpam-5743	189	6	)	)	PUNCT
ejpam-5743	189	7	,	,	PUNCT
ejpam-5743	189	8	as	as	ADP
ejpam-5743	189	9	g∗	g∗	PROPN
ejpam-5743	189	10	(	(	PUNCT
ejpam-5743	189	11	dp	dp	NOUN
ejpam-5743	189	12	dxdh	dxdh	PROPN
ejpam-5743	189	13	,	,	PUNCT
ejpam-5743	189	14	dx	dx	PROPN
ejpam-5743	189	15	)	)	PUNCT
ejpam-5743	190	1	=	=	PUNCT
ejpam-5743	191	1	∂h	∂h	VERB
ejpam-5743	191	2	∂x	∂x	NOUN
ejpam-5743	191	3	g∗	g∗	PROPN
ejpam-5743	191	4	(	(	PUNCT
ejpam-5743	191	5	dp	dp	NOUN
ejpam-5743	191	6	dxdx	dxdx	NOUN
ejpam-5743	191	7	,	,	PUNCT
ejpam-5743	191	8	dx	dx	PROPN
ejpam-5743	191	9	)	)	PUNCT
ejpam-5743	192	1	+	+	CCONJ
ejpam-5743	192	2	∂h	∂h	PROPN
ejpam-5743	192	3	∂y	∂y	PROPN
ejpam-5743	192	4	g∗	g∗	PROPN
ejpam-5743	192	5	(	(	PUNCT
ejpam-5743	192	6	dp	dp	NOUN
ejpam-5743	192	7	dxdy	dxdy	PROPN
ejpam-5743	192	8	,	,	PUNCT
ejpam-5743	192	9	dx	dx	PROPN
ejpam-5743	192	10	)	)	PUNCT
ejpam-5743	193	1	+	+	CCONJ
ejpam-5743	193	2	∂h	∂h	PROPN
ejpam-5743	193	3	∂z	∂z	PROPN
ejpam-5743	193	4	g∗	g∗	PROPN
ejpam-5743	193	5	(	(	PUNCT
ejpam-5743	193	6	dp	dp	NOUN
ejpam-5743	193	7	dxdz	dxdz	PROPN
ejpam-5743	193	8	,	,	PUNCT
ejpam-5743	193	9	dx	dx	PROPN
ejpam-5743	193	10	)	)	PUNCT
ejpam-5743	194	1	+	+	CCONJ
ejpam-5743	194	2	♯p	♯p	NOUN
ejpam-5743	194	3	(	(	PUNCT
ejpam-5743	194	4	dx	dx	PROPN
ejpam-5743	194	5	)	)	PUNCT
ejpam-5743	194	6	·	·	PUNCT
ejpam-5743	194	7	(	(	PUNCT
ejpam-5743	194	8	∂h	∂h	PROPN
ejpam-5743	194	9	∂x	∂x	PROPN
ejpam-5743	194	10	)	)	PUNCT
ejpam-5743	195	1	=	=	PUNCT
ejpam-5743	195	2	∂h	∂h	VERB
ejpam-5743	195	3	∂x	∂x	PROPN
ejpam-5743	195	4	·	·	PUNCT
ejpam-5743	195	5	γ11	γ11	PROPN
ejpam-5743	195	6	1	1	NUM
ejpam-5743	195	7	+	+	CCONJ
ejpam-5743	195	8	∂h	∂h	PROPN
ejpam-5743	195	9	∂y	∂y	SYM
ejpam-5743	195	10	·	·	PUNCT
ejpam-5743	195	11	γ12	γ12	NOUN
ejpam-5743	195	12	1	1	NUM
ejpam-5743	196	1	+	+	CCONJ
ejpam-5743	196	2	∂h	∂h	PROPN
ejpam-5743	196	3	∂z	∂z	PROPN
ejpam-5743	196	4	·	·	PUNCT
ejpam-5743	196	5	γ13	γ13	NOUN
ejpam-5743	196	6	1	1	NUM
ejpam-5743	197	1	+	+	CCONJ
ejpam-5743	197	2	(	(	PUNCT
ejpam-5743	197	3	∂p12	∂p12	PROPN
ejpam-5743	197	4	∂y	∂y	SYM
ejpam-5743	197	5	+	+	NUM
ejpam-5743	197	6	∂p13	∂p13	PROPN
ejpam-5743	197	7	∂z	∂z	PROPN
ejpam-5743	197	8	)	)	PUNCT
ejpam-5743	197	9	(	(	PUNCT
ejpam-5743	197	10	∂h	∂h	PROPN
ejpam-5743	197	11	∂x	∂x	PROPN
ejpam-5743	197	12	)	)	PUNCT
ejpam-5743	198	1	=	=	PUNCT
ejpam-5743	198	2	∂h	∂h	VERB
ejpam-5743	198	3	∂y	∂y	SYM
ejpam-5743	198	4	·	·	PUNCT
ejpam-5743	198	5	∂p12	∂p12	PROPN
ejpam-5743	198	6	∂x	∂x	PROPN
ejpam-5743	198	7	+	+	CCONJ
ejpam-5743	198	8	∂h	∂h	PROPN
ejpam-5743	198	9	∂z	∂z	PROPN
ejpam-5743	198	10	·	·	PUNCT
ejpam-5743	198	11	∂p13	∂p13	PROPN
ejpam-5743	198	12	∂x	∂x	PROPN
ejpam-5743	198	13	+	+	CCONJ
ejpam-5743	198	14	p12	p12	ADJ
ejpam-5743	198	15	∂2h	∂2h	NOUN
ejpam-5743	198	16	∂y∂x	∂y∂x	ADP
ejpam-5743	199	1	+	+	PUNCT
ejpam-5743	199	2	p13	p13	NOUN
ejpam-5743	199	3	∂2h	∂2h	NOUN
ejpam-5743	199	4	∂z∂x	∂z∂x	ADJ
ejpam-5743	199	5	,	,	PUNCT
ejpam-5743	199	6	so	so	ADV
ejpam-5743	199	7	g∗	g∗	PROPN
ejpam-5743	199	8	(	(	PUNCT
ejpam-5743	199	9	dp	dp	NOUN
ejpam-5743	199	10	dydh	dydh	NOUN
ejpam-5743	199	11	,	,	PUNCT
ejpam-5743	199	12	dy	dy	NOUN
ejpam-5743	199	13	)	)	PUNCT
ejpam-5743	200	1	=	=	PUNCT
ejpam-5743	201	1	∂h	∂h	PROPN
ejpam-5743	201	2	∂x	∂x	PROPN
ejpam-5743	201	3	·	·	PUNCT
ejpam-5743	201	4	γ21	γ21	NOUN
ejpam-5743	201	5	2	2	NUM
ejpam-5743	201	6	+	+	CCONJ
ejpam-5743	201	7	∂h	∂h	PROPN
ejpam-5743	201	8	∂y	∂y	SYM
ejpam-5743	201	9	·	·	PUNCT
ejpam-5743	201	10	γ22	γ22	NOUN
ejpam-5743	201	11	2	2	NUM
ejpam-5743	201	12	+	+	CCONJ
ejpam-5743	201	13	∂h	∂h	PROPN
ejpam-5743	201	14	∂z	∂z	PROPN
ejpam-5743	201	15	·	·	PUNCT
ejpam-5743	201	16	γ23	γ23	NOUN
ejpam-5743	201	17	2	2	NUM
ejpam-5743	201	18	+	+	CCONJ
ejpam-5743	201	19	(	(	PUNCT
ejpam-5743	201	20	−∂p12	−∂p12	NOUN
ejpam-5743	201	21	∂x	∂x	PROPN
ejpam-5743	201	22	+	+	CCONJ
ejpam-5743	201	23	∂p23	∂p23	PROPN
ejpam-5743	201	24	∂z	∂z	PROPN
ejpam-5743	201	25	)	)	PUNCT
ejpam-5743	201	26	(	(	PUNCT
ejpam-5743	201	27	∂h	∂h	PROPN
ejpam-5743	201	28	∂y	∂y	PROPN
ejpam-5743	201	29	)	)	PUNCT
ejpam-5743	201	30	=	=	SYM
ejpam-5743	201	31	−∂h	−∂h	PROPN
ejpam-5743	201	32	∂x	∂x	PROPN
ejpam-5743	201	33	·	·	PUNCT
ejpam-5743	201	34	∂p12	∂p12	PROPN
ejpam-5743	201	35	∂y	∂y	X
ejpam-5743	202	1	+	+	CCONJ
ejpam-5743	202	2	∂h	∂h	PROPN
ejpam-5743	202	3	∂z	∂z	PROPN
ejpam-5743	202	4	·	·	PUNCT
ejpam-5743	202	5	∂p23	∂p23	PROPN
ejpam-5743	202	6	∂y	∂y	SYM
ejpam-5743	202	7	−	−	PROPN
ejpam-5743	202	8	p12	p12	ADJ
ejpam-5743	202	9	∂2h	∂2h	NOUN
ejpam-5743	202	10	∂x∂y	∂x∂y	PROPN
ejpam-5743	202	11	+	+	CCONJ
ejpam-5743	202	12	p23	p23	PROPN
ejpam-5743	202	13	∂2h	∂2h	NOUN
ejpam-5743	202	14	∂z∂y	∂z∂y	PROPN
ejpam-5743	202	15	and	and	CCONJ
ejpam-5743	202	16	g∗	g∗	PROPN
ejpam-5743	202	17	(	(	PUNCT
ejpam-5743	202	18	dp	dp	NOUN
ejpam-5743	202	19	dzdh	dzdh	NOUN
ejpam-5743	202	20	,	,	PUNCT
ejpam-5743	202	21	dz	dz	INTJ
ejpam-5743	202	22	)	)	PUNCT
ejpam-5743	203	1	=	=	SYM
ejpam-5743	204	1	∂h	∂h	PROPN
ejpam-5743	204	2	∂x	∂x	PROPN
ejpam-5743	204	3	·	·	PUNCT
ejpam-5743	204	4	γ31	γ31	NOUN
ejpam-5743	204	5	3	3	NUM
ejpam-5743	205	1	+	+	CCONJ
ejpam-5743	205	2	∂h	∂h	PROPN
ejpam-5743	205	3	∂y	∂y	SYM
ejpam-5743	205	4	·	·	PUNCT
ejpam-5743	205	5	γ32	γ32	NOUN
ejpam-5743	205	6	3	3	NUM
ejpam-5743	206	1	+	+	CCONJ
ejpam-5743	206	2	∂h	∂h	PROPN
ejpam-5743	206	3	∂z	∂z	PROPN
ejpam-5743	206	4	·	·	PUNCT
ejpam-5743	206	5	γ33	γ33	NOUN
ejpam-5743	206	6	3	3	NUM
ejpam-5743	207	1	+	+	CCONJ
ejpam-5743	207	2	(	(	PUNCT
ejpam-5743	207	3	−∂p13	−∂p13	NOUN
ejpam-5743	207	4	∂x	∂x	PROPN
ejpam-5743	207	5	−	−	PROPN
ejpam-5743	207	6	∂p23	∂p23	PROPN
ejpam-5743	207	7	∂y	∂y	NUM
ejpam-5743	207	8	)	)	PUNCT
ejpam-5743	207	9	(	(	PUNCT
ejpam-5743	207	10	∂h	∂h	PROPN
ejpam-5743	207	11	∂z	∂z	PROPN
ejpam-5743	207	12	)	)	PUNCT
ejpam-5743	207	13	=	=	SYM
ejpam-5743	207	14	−∂h	−∂h	PROPN
ejpam-5743	207	15	∂x	∂x	PROPN
ejpam-5743	207	16	·	·	PUNCT
ejpam-5743	207	17	∂p13	∂p13	NOUN
ejpam-5743	207	18	∂z	∂z	PROPN
ejpam-5743	207	19	−	−	PROPN
ejpam-5743	207	20	∂h	∂h	PROPN
ejpam-5743	207	21	∂y	∂y	SYM
ejpam-5743	207	22	·	·	PUNCT
ejpam-5743	207	23	∂p23	∂p23	NOUN
ejpam-5743	207	24	∂z	∂z	PROPN
ejpam-5743	208	1	−	−	PROPN
ejpam-5743	208	2	p13	p13	NOUN
ejpam-5743	208	3	∂2h	∂2h	NOUN
ejpam-5743	208	4	∂x∂z	∂x∂z	NOUN
ejpam-5743	208	5	−	−	PROPN
ejpam-5743	208	6	p23	p23	NOUN
ejpam-5743	208	7	∂2h	∂2h	VERB
ejpam-5743	208	8	∂y∂z	∂y∂z	PROPN
ejpam-5743	208	9	.	.	PUNCT
ejpam-5743	209	1	now	now	ADV
ejpam-5743	209	2	,	,	PUNCT
ejpam-5743	209	3	let	let	VERB
ejpam-5743	209	4	us	we	PRON
ejpam-5743	209	5	compute	compute	VERB
ejpam-5743	209	6	the	the	DET
ejpam-5743	209	7	contravariant	contravariant	PROPN
ejpam-5743	209	8	connection	connection	PROPN
ejpam-5743	209	9	d.	d.	PROPN
ejpam-5743	209	10	we	we	PRON
ejpam-5743	209	11	will	will	AUX
ejpam-5743	209	12	use	use	VERB
ejpam-5743	209	13	the	the	DET
ejpam-5743	209	14	christoffel	christoffel	ADJ
ejpam-5743	209	15	symbols	symbol	NOUN
ejpam-5743	209	16	γij	γij	ADP
ejpam-5743	209	17	k	k	PROPN
ejpam-5743	209	18	.	.	PUNCT
ejpam-5743	210	1	for	for	ADP
ejpam-5743	210	2	example	example	NOUN
ejpam-5743	210	3	,	,	PUNCT
ejpam-5743	210	4	ddxdx	ddxdx	VERB
ejpam-5743	210	5	=	=	SYM
ejpam-5743	210	6	γ11	γ11	PROPN
ejpam-5743	210	7	1	1	NUM
ejpam-5743	210	8	dx+	dx+	NOUN
ejpam-5743	210	9	γ11	γ11	NOUN
ejpam-5743	210	10	2	2	NUM
ejpam-5743	210	11	dy	dy	NOUN
ejpam-5743	210	12	+	+	NOUN
ejpam-5743	210	13	γ11	γ11	PROPN
ejpam-5743	210	14	3	3	NUM
ejpam-5743	210	15	dz	dz	PROPN
ejpam-5743	210	16	.	.	PROPN
ejpam-5743	211	1	from	from	ADP
ejpam-5743	211	2	(	(	PUNCT
ejpam-5743	211	3	3	3	NUM
ejpam-5743	211	4	)	)	PUNCT
ejpam-5743	211	5	,	,	PUNCT
ejpam-5743	211	6	one	one	PRON
ejpam-5743	211	7	has	have	VERB
ejpam-5743	211	8	γ11	γ11	NUM
ejpam-5743	211	9	1	1	NUM
ejpam-5743	211	10	=	=	SYM
ejpam-5743	211	11	0	0	NUM
ejpam-5743	211	12	,	,	PUNCT
ejpam-5743	211	13	γ11	γ11	NOUN
ejpam-5743	211	14	2	2	NUM
ejpam-5743	211	15	=	=	SYM
ejpam-5743	211	16	−	−	PROPN
ejpam-5743	211	17	∂2µ	∂2µ	NOUN
ejpam-5743	211	18	∂x∂z	∂x∂z	PROPN
ejpam-5743	211	19	,	,	PUNCT
ejpam-5743	211	20	γ11	γ11	PROPN
ejpam-5743	211	21	3	3	NUM
ejpam-5743	211	22	=	=	SYM
ejpam-5743	211	23	∂2µ	∂2µ	NOUN
ejpam-5743	211	24	∂x∂y	∂x∂y	NOUN
ejpam-5743	211	25	,	,	PUNCT
ejpam-5743	211	26	γ12	γ12	NOUN
ejpam-5743	211	27	1	1	NUM
ejpam-5743	211	28	=	=	NOUN
ejpam-5743	211	29	∂2µ	∂2µ	NOUN
ejpam-5743	211	30	∂x∂z	∂x∂z	PROPN
ejpam-5743	211	31	,	,	PUNCT
ejpam-5743	211	32	γ12	γ12	NOUN
ejpam-5743	211	33	2	2	NUM
ejpam-5743	211	34	=	=	SYM
ejpam-5743	211	35	0	0	NUM
ejpam-5743	211	36	,	,	PUNCT
ejpam-5743	211	37	γ12	γ12	NOUN
ejpam-5743	211	38	3	3	NUM
ejpam-5743	211	39	=	=	SYM
ejpam-5743	211	40	1	1	NUM
ejpam-5743	211	41	2	2	NUM
ejpam-5743	211	42	(	(	PUNCT
ejpam-5743	211	43	−	−	PROPN
ejpam-5743	211	44	∂2µ	∂2µ	NOUN
ejpam-5743	211	45	∂x2	∂x2	NOUN
ejpam-5743	211	46	+	+	NOUN
ejpam-5743	211	47	∂2µ	∂2µ	NOUN
ejpam-5743	211	48	∂y2	∂y2	NOUN
ejpam-5743	211	49	+	+	NUM
ejpam-5743	211	50	∂2µ	∂2µ	PROPN
ejpam-5743	211	51	∂z2	∂z2	PROPN
ejpam-5743	211	52	)	)	PUNCT
ejpam-5743	211	53	γ21	γ21	NOUN
ejpam-5743	211	54	1	1	NUM
ejpam-5743	211	55	=	=	SYM
ejpam-5743	211	56	0	0	NUM
ejpam-5743	211	57	,	,	PUNCT
ejpam-5743	211	58	γ21	γ21	ADJ
ejpam-5743	211	59	2	2	NUM
ejpam-5743	211	60	=	=	SYM
ejpam-5743	211	61	−	−	PROPN
ejpam-5743	211	62	∂2µ	∂2µ	NOUN
ejpam-5743	211	63	∂y∂z	∂y∂z	PROPN
ejpam-5743	211	64	,	,	PUNCT
ejpam-5743	211	65	γ21	γ21	ADJ
ejpam-5743	211	66	3	3	NUM
ejpam-5743	211	67	=	=	SYM
ejpam-5743	211	68	1	1	NUM
ejpam-5743	211	69	2	2	NUM
ejpam-5743	211	70	(	(	PUNCT
ejpam-5743	211	71	−	−	PROPN
ejpam-5743	211	72	∂2µ	∂2µ	NOUN
ejpam-5743	211	73	∂x2	∂x2	NOUN
ejpam-5743	211	74	+	+	NOUN
ejpam-5743	211	75	∂2µ	∂2µ	NOUN
ejpam-5743	211	76	∂y2	∂y2	NOUN
ejpam-5743	211	77	−	−	PROPN
ejpam-5743	211	78	∂2µ	∂2µ	NOUN
ejpam-5743	211	79	∂z2	∂z2	PROPN
ejpam-5743	211	80	)	)	PUNCT
ejpam-5743	211	81	γ13	γ13	VERB
ejpam-5743	211	82	1	1	NUM
ejpam-5743	211	83	=	=	SYM
ejpam-5743	211	84	−	−	PROPN
ejpam-5743	211	85	∂2µ	∂2µ	NOUN
ejpam-5743	211	86	∂x∂y	∂x∂y	NOUN
ejpam-5743	211	87	,	,	PUNCT
ejpam-5743	211	88	γ13	γ13	NOUN
ejpam-5743	211	89	2	2	NUM
ejpam-5743	211	90	=	=	SYM
ejpam-5743	211	91	1	1	NUM
ejpam-5743	211	92	2	2	NUM
ejpam-5743	211	93	(	(	PUNCT
ejpam-5743	211	94	∂2µ	∂2µ	NOUN
ejpam-5743	211	95	∂x2	∂x2	NOUN
ejpam-5743	211	96	−	−	NOUN
ejpam-5743	211	97	∂2µ	∂2µ	NOUN
ejpam-5743	211	98	∂y2	∂y2	NOUN
ejpam-5743	211	99	−	−	PROPN
ejpam-5743	211	100	∂2µ	∂2µ	NOUN
ejpam-5743	211	101	∂z2	∂z2	PROPN
ejpam-5743	211	102	)	)	PUNCT
ejpam-5743	211	103	,	,	PUNCT
ejpam-5743	211	104	γ13	γ13	NOUN
ejpam-5743	211	105	3	3	NUM
ejpam-5743	211	106	=	=	SYM
ejpam-5743	211	107	0	0	NUM
ejpam-5743	211	108	γ31	γ31	NOUN
ejpam-5743	211	109	1	1	NUM
ejpam-5743	211	110	=	=	SYM
ejpam-5743	211	111	0	0	NUM
ejpam-5743	211	112	,	,	PUNCT
ejpam-5743	211	113	γ31	γ31	X
ejpam-5743	211	114	2	2	NUM
ejpam-5743	211	115	=	=	SYM
ejpam-5743	211	116	1	1	NUM
ejpam-5743	211	117	2	2	NUM
ejpam-5743	211	118	(	(	PUNCT
ejpam-5743	211	119	∂2µ	∂2µ	NOUN
ejpam-5743	211	120	∂x2	∂x2	NOUN
ejpam-5743	211	121	+	+	SYM
ejpam-5743	211	122	∂2µ	∂2µ	NOUN
ejpam-5743	211	123	∂y2	∂y2	NOUN
ejpam-5743	211	124	−	−	PROPN
ejpam-5743	211	125	∂2µ	∂2µ	NOUN
ejpam-5743	211	126	∂z2	∂z2	PROPN
ejpam-5743	211	127	)	)	PUNCT
ejpam-5743	211	128	,	,	PUNCT
ejpam-5743	211	129	γ31	γ31	ADJ
ejpam-5743	211	130	3	3	NUM
ejpam-5743	211	131	=	=	SYM
ejpam-5743	211	132	∂2µ	∂2µ	NOUN
ejpam-5743	211	133	∂y∂z	∂y∂z	PROPN
ejpam-5743	211	134	,	,	PUNCT
ejpam-5743	211	135	γ22	γ22	PROPN
ejpam-5743	211	136	1	1	NUM
ejpam-5743	211	137	=	=	SYM
ejpam-5743	211	138	∂2µ	∂2µ	NOUN
ejpam-5743	211	139	∂y∂z	∂y∂z	PROPN
ejpam-5743	211	140	,	,	PUNCT
ejpam-5743	211	141	γ22	γ22	NOUN
ejpam-5743	211	142	2	2	NUM
ejpam-5743	211	143	=	=	SYM
ejpam-5743	211	144	0	0	NUM
ejpam-5743	211	145	,	,	PUNCT
ejpam-5743	211	146	γ22	γ22	NOUN
ejpam-5743	211	147	3	3	NUM
ejpam-5743	211	148	=	=	SYM
ejpam-5743	211	149	−	−	PROPN
ejpam-5743	211	150	∂2µ	∂2µ	NOUN
ejpam-5743	211	151	∂x∂y	∂x∂y	NOUN
ejpam-5743	211	152	,	,	PUNCT
ejpam-5743	211	153	γ23	γ23	NOUN
ejpam-5743	211	154	1	1	NUM
ejpam-5743	211	155	=	=	SYM
ejpam-5743	211	156	1	1	NUM
ejpam-5743	211	157	2	2	NUM
ejpam-5743	211	158	(	(	PUNCT
ejpam-5743	211	159	∂2µ	∂2µ	NOUN
ejpam-5743	211	160	∂x2	∂x2	NOUN
ejpam-5743	211	161	−	−	NOUN
ejpam-5743	211	162	∂2µ	∂2µ	NOUN
ejpam-5743	211	163	∂y2	∂y2	NOUN
ejpam-5743	211	164	+	+	NUM
ejpam-5743	211	165	∂2µ	∂2µ	PROPN
ejpam-5743	211	166	∂z2	∂z2	PROPN
ejpam-5743	211	167	)	)	PUNCT
ejpam-5743	211	168	,	,	PUNCT
ejpam-5743	211	169	γ23	γ23	NOUN
ejpam-5743	211	170	2	2	NUM
ejpam-5743	211	171	=	=	NOUN
ejpam-5743	211	172	∂2µ	∂2µ	NOUN
ejpam-5743	211	173	∂x∂y	∂x∂y	NOUN
ejpam-5743	211	174	,	,	PUNCT
ejpam-5743	211	175	γ23	γ23	NOUN
ejpam-5743	211	176	3	3	NUM
ejpam-5743	211	177	=	=	SYM
ejpam-5743	211	178	0	0	NUM
ejpam-5743	211	179	,	,	PUNCT
ejpam-5743	211	180	m.	m.	NOUN
ejpam-5743	211	181	s.	s.	PROPN
ejpam-5743	211	182	ali	ali	PROPN
ejpam-5743	211	183	et	et	PROPN
ejpam-5743	211	184	al	al	PROPN
ejpam-5743	211	185	.	.	PUNCT
ejpam-5743	211	186	/	/	SYM
ejpam-5743	211	187	eur	eur	PROPN
ejpam-5743	211	188	.	.	PUNCT
ejpam-5743	212	1	j.	j.	PROPN
ejpam-5743	212	2	pure	pure	PROPN
ejpam-5743	212	3	appl	appl	PROPN
ejpam-5743	212	4	.	.	PROPN
ejpam-5743	212	5	math	math	PROPN
ejpam-5743	212	6	,	,	PUNCT
ejpam-5743	212	7	18	18	NUM
ejpam-5743	212	8	(	(	PUNCT
ejpam-5743	212	9	3	3	NUM
ejpam-5743	212	10	)	)	PUNCT
ejpam-5743	212	11	(	(	PUNCT
ejpam-5743	212	12	2025	2025	NUM
ejpam-5743	212	13	)	)	PUNCT
ejpam-5743	212	14	,	,	PUNCT
ejpam-5743	212	15	5743	5743	NUM
ejpam-5743	212	16	9	9	NUM
ejpam-5743	212	17	of	of	ADP
ejpam-5743	212	18	14	14	NUM
ejpam-5743	212	19	γ32	γ32	NOUN
ejpam-5743	212	20	1	1	NUM
ejpam-5743	212	21	=	=	SYM
ejpam-5743	212	22	1	1	NUM
ejpam-5743	212	23	2	2	NUM
ejpam-5743	212	24	(	(	PUNCT
ejpam-5743	212	25	−	−	PROPN
ejpam-5743	212	26	∂2µ	∂2µ	NOUN
ejpam-5743	212	27	∂x2	∂x2	NOUN
ejpam-5743	212	28	−	−	NOUN
ejpam-5743	212	29	∂2µ	∂2µ	NOUN
ejpam-5743	212	30	∂y2	∂y2	NOUN
ejpam-5743	212	31	+	+	NUM
ejpam-5743	212	32	∂2µ	∂2µ	NOUN
ejpam-5743	212	33	∂z2	∂z2	PROPN
ejpam-5743	212	34	)	)	PUNCT
ejpam-5743	212	35	,	,	PUNCT
ejpam-5743	212	36	γ32	γ32	NOUN
ejpam-5743	212	37	2	2	NUM
ejpam-5743	212	38	=	=	SYM
ejpam-5743	212	39	0	0	NUM
ejpam-5743	212	40	,	,	PUNCT
ejpam-5743	212	41	γ32	γ32	NOUN
ejpam-5743	212	42	3	3	NUM
ejpam-5743	212	43	=	=	SYM
ejpam-5743	212	44	−	−	PROPN
ejpam-5743	212	45	∂2µ	∂2µ	NOUN
ejpam-5743	212	46	∂x∂z	∂x∂z	NOUN
ejpam-5743	212	47	,	,	PUNCT
ejpam-5743	212	48	γ33	γ33	NOUN
ejpam-5743	212	49	1	1	NUM
ejpam-5743	212	50	=	=	SYM
ejpam-5743	212	51	−	−	PROPN
ejpam-5743	212	52	∂2µ	∂2µ	NOUN
ejpam-5743	212	53	∂y∂z	∂y∂z	PROPN
ejpam-5743	212	54	,	,	PUNCT
ejpam-5743	212	55	γ33	γ33	NOUN
ejpam-5743	212	56	2	2	NUM
ejpam-5743	212	57	=	=	NOUN
ejpam-5743	212	58	∂2µ	∂2µ	NOUN
ejpam-5743	212	59	∂x∂z	∂x∂z	PROPN
ejpam-5743	212	60	,	,	PUNCT
ejpam-5743	212	61	γ33	γ33	NOUN
ejpam-5743	212	62	3	3	NUM
ejpam-5743	212	63	=	=	SYM
ejpam-5743	212	64	0	0	X
ejpam-5743	212	65	.	.	PUNCT
ejpam-5743	213	1	therefore	therefore	ADV
ejpam-5743	213	2	ϕ	ϕ	X
ejpam-5743	213	3	(	(	PUNCT
ejpam-5743	213	4	h	h	NOUN
ejpam-5743	213	5	)	)	PUNCT
ejpam-5743	213	6	=	=	PUNCT
ejpam-5743	214	1	∂h	∂h	VERB
ejpam-5743	214	2	∂y	∂y	SYM
ejpam-5743	214	3	·	·	PUNCT
ejpam-5743	214	4	∂p12	∂p12	PROPN
ejpam-5743	214	5	∂x	∂x	PROPN
ejpam-5743	215	1	+	+	CCONJ
ejpam-5743	216	1	∂h	∂h	PROPN
ejpam-5743	216	2	∂z	∂z	PROPN
ejpam-5743	216	3	·	·	PUNCT
ejpam-5743	216	4	∂p13	∂p13	PROPN
ejpam-5743	216	5	∂x	∂x	PROPN
ejpam-5743	216	6	−	−	PROPN
ejpam-5743	216	7	∂h	∂h	PROPN
ejpam-5743	216	8	∂x	∂x	PROPN
ejpam-5743	216	9	·	·	PUNCT
ejpam-5743	216	10	∂p12	∂p12	PROPN
ejpam-5743	216	11	∂y	∂y	X
ejpam-5743	217	1	+	+	CCONJ
ejpam-5743	217	2	∂h	∂h	PROPN
ejpam-5743	217	3	∂z	∂z	PROPN
ejpam-5743	217	4	·	·	PUNCT
ejpam-5743	217	5	∂p23	∂p23	PROPN
ejpam-5743	217	6	∂y	∂y	PROPN
ejpam-5743	217	7	−	−	PROPN
ejpam-5743	217	8	∂h	∂h	PROPN
ejpam-5743	217	9	∂x	∂x	PROPN
ejpam-5743	217	10	·	·	PUNCT
ejpam-5743	217	11	∂p13	∂p13	NOUN
ejpam-5743	217	12	∂z	∂z	PROPN
ejpam-5743	217	13	=	=	PUNCT
ejpam-5743	217	14	(	(	PUNCT
ejpam-5743	217	15	−∂p13	−∂p13	NOUN
ejpam-5743	217	16	∂z	∂z	PROPN
ejpam-5743	218	1	−	−	PROPN
ejpam-5743	218	2	∂p12	∂p12	PROPN
ejpam-5743	218	3	∂y	∂y	X
ejpam-5743	218	4	)	)	PUNCT
ejpam-5743	219	1	∂h	∂h	PROPN
ejpam-5743	219	2	∂x	∂x	NOUN
ejpam-5743	219	3	+	+	CCONJ
ejpam-5743	219	4	(	(	PUNCT
ejpam-5743	219	5	∂p12	∂p12	PROPN
ejpam-5743	219	6	∂x	∂x	PROPN
ejpam-5743	219	7	−	−	PROPN
ejpam-5743	219	8	∂p23	∂p23	PROPN
ejpam-5743	219	9	∂z	∂z	PROPN
ejpam-5743	219	10	)	)	PUNCT
ejpam-5743	220	1	∂h	∂h	PROPN
ejpam-5743	220	2	∂y	∂y	PRON
ejpam-5743	221	1	+	+	CCONJ
ejpam-5743	221	2	(	(	PUNCT
ejpam-5743	221	3	∂p23	∂p23	X
ejpam-5743	221	4	∂y	∂y	SYM
ejpam-5743	221	5	+	+	NUM
ejpam-5743	221	6	∂p13	∂p13	PROPN
ejpam-5743	221	7	∂x	∂x	PROPN
ejpam-5743	221	8	)	)	PUNCT
ejpam-5743	222	1	∂h	∂h	PROPN
ejpam-5743	222	2	∂z	∂z	PROPN
ejpam-5743	223	1	=	=	PRON
ejpam-5743	223	2	{	{	PUNCT
ejpam-5743	223	3	(	(	PUNCT
ejpam-5743	223	4	−∂p13	−∂p13	NOUN
ejpam-5743	223	5	∂z	∂z	PROPN
ejpam-5743	224	1	−	−	PROPN
ejpam-5743	224	2	∂p12	∂p12	PROPN
ejpam-5743	224	3	∂y	∂y	SYM
ejpam-5743	224	4	)	)	PUNCT
ejpam-5743	224	5	∂	∂	PUNCT
ejpam-5743	225	1	∂x	∂x	NOUN
ejpam-5743	225	2	+	+	CCONJ
ejpam-5743	225	3	(	(	PUNCT
ejpam-5743	225	4	∂p12	∂p12	PROPN
ejpam-5743	225	5	∂x	∂x	PROPN
ejpam-5743	225	6	−	−	PROPN
ejpam-5743	225	7	∂p23	∂p23	PROPN
ejpam-5743	225	8	∂z	∂z	PROPN
ejpam-5743	225	9	)	)	PUNCT
ejpam-5743	225	10	∂	∂	PUNCT
ejpam-5743	226	1	∂y	∂y	X
ejpam-5743	226	2	+	+	CCONJ
ejpam-5743	226	3	(	(	PUNCT
ejpam-5743	226	4	∂p23	∂p23	X
ejpam-5743	226	5	∂y	∂y	SYM
ejpam-5743	226	6	+	+	NUM
ejpam-5743	226	7	∂p13	∂p13	PROPN
ejpam-5743	226	8	∂x	∂x	PROPN
ejpam-5743	226	9	)	)	PUNCT
ejpam-5743	226	10	∂	∂	NUM
ejpam-5743	227	1	∂z	∂z	PROPN
ejpam-5743	227	2	}	}	PUNCT
ejpam-5743	227	3	·	·	PUNCT
ejpam-5743	227	4	h	h	NOUN
ejpam-5743	227	5	;	;	PUNCT
ejpam-5743	227	6	since	since	SCONJ
ejpam-5743	227	7	{	{	PUNCT
ejpam-5743	227	8	∂	∂	NUM
ejpam-5743	227	9	∂x	∂x	PROPN
ejpam-5743	227	10	,	,	PUNCT
ejpam-5743	227	11	∂	∂	NUM
ejpam-5743	227	12	∂y	∂y	NOUN
ejpam-5743	227	13	,	,	PUNCT
ejpam-5743	227	14	∂	∂	NUM
ejpam-5743	227	15	∂z	∂z	PROPN
ejpam-5743	227	16	}	}	PUNCT
ejpam-5743	227	17	is	be	AUX
ejpam-5743	227	18	a	a	DET
ejpam-5743	227	19	basis	basis	NOUN
ejpam-5743	227	20	of	of	ADP
ejpam-5743	227	21	c∞	c∞	PROPN
ejpam-5743	227	22	(	(	PUNCT
ejpam-5743	227	23	r3	r3	PROPN
ejpam-5743	227	24	)	)	PUNCT
ejpam-5743	227	25	-free	-free	NOUN
ejpam-5743	227	26	module	module	NOUN
ejpam-5743	227	27	of	of	ADP
ejpam-5743	227	28	a	a	DET
ejpam-5743	227	29	(	(	PUNCT
ejpam-5743	227	30	r3	r3	PROPN
ejpam-5743	227	31	)	)	PUNCT
ejpam-5743	227	32	then	then	ADV
ejpam-5743	227	33	,	,	PUNCT
ejpam-5743	227	34	ϕ	ϕ	X
ejpam-5743	227	35	(	(	PUNCT
ejpam-5743	227	36	h	h	NOUN
ejpam-5743	227	37	)	)	PUNCT
ejpam-5743	227	38	=	=	SYM
ejpam-5743	227	39	0	0	NUM
ejpam-5743	227	40	∀	∀	NOUN
ejpam-5743	227	41	h	h	NOUN
ejpam-5743	227	42	∈	∈	PROPN
ejpam-5743	227	43	c∞	c∞	PROPN
ejpam-5743	227	44	(	(	PUNCT
ejpam-5743	227	45	r3	r3	PROPN
ejpam-5743	227	46	)	)	PUNCT
ejpam-5743	227	47	is	be	AUX
ejpam-5743	227	48	equivalent	equivalent	ADJ
ejpam-5743	227	49	to	to	ADP
ejpam-5743	227	50	the	the	DET
ejpam-5743	227	51	system	system	NOUN
ejpam-5743	227	52	of	of	ADP
ejpam-5743	228	1	equations	equations	PROPN
ejpam-5743	228	2	−∂p13	−∂p13	VERB
ejpam-5743	229	1	∂z	∂z	PROPN
ejpam-5743	230	1	−	−	PUNCT
ejpam-5743	230	2	∂p12	∂p12	PROPN
ejpam-5743	230	3	∂y	∂y	PUNCT
ejpam-5743	230	4	=	=	SYM
ejpam-5743	230	5	0	0	NUM
ejpam-5743	230	6	∂p12	∂p12	PROPN
ejpam-5743	230	7	∂x	∂x	PROPN
ejpam-5743	230	8	−	−	PROPN
ejpam-5743	230	9	∂p23	∂p23	NOUN
ejpam-5743	230	10	∂z	∂z	PROPN
ejpam-5743	230	11	=	=	SYM
ejpam-5743	230	12	0	0	NUM
ejpam-5743	230	13	∂p23	∂p23	PROPN
ejpam-5743	230	14	∂y	∂y	SYM
ejpam-5743	230	15	+	+	NUM
ejpam-5743	230	16	∂p13	∂p13	PROPN
ejpam-5743	230	17	∂x	∂x	PROPN
ejpam-5743	230	18	=	=	SYM
ejpam-5743	230	19	0	0	PROPN
ejpam-5743	230	20	,	,	PUNCT
ejpam-5743	230	21	which	which	PRON
ejpam-5743	230	22	is	be	AUX
ejpam-5743	230	23	equivalent	equivalent	ADJ
ejpam-5743	230	24	to	to	ADP
ejpam-5743	230	25	:	:	PUNCT
ejpam-5743	230	26	∂	∂	NUM
ejpam-5743	230	27	∂x	∂x	PROPN
ejpam-5743	230	28	(	(	PUNCT
ejpam-5743	230	29	p12	p12	VERB
ejpam-5743	230	30	+	+	CCONJ
ejpam-5743	230	31	p13	p13	NOUN
ejpam-5743	230	32	)	)	PUNCT
ejpam-5743	230	33	+	+	NUM
ejpam-5743	230	34	∂	∂	X
ejpam-5743	230	35	∂y	∂y	NOUN
ejpam-5743	230	36	(	(	PUNCT
ejpam-5743	230	37	−p12	−p12	PUNCT
ejpam-5743	230	38	+	+	CCONJ
ejpam-5743	230	39	p23	p23	NOUN
ejpam-5743	230	40	)	)	PUNCT
ejpam-5743	231	1	+	+	NUM
ejpam-5743	231	2	∂	∂	NUM
ejpam-5743	231	3	∂z	∂z	PROPN
ejpam-5743	231	4	(	(	PUNCT
ejpam-5743	231	5	−p13	−p13	PUNCT
ejpam-5743	231	6	−	−	PROPN
ejpam-5743	231	7	p23	p23	NOUN
ejpam-5743	231	8	)	)	PUNCT
ejpam-5743	231	9	=	=	PUNCT
ejpam-5743	231	10	0	0	X
ejpam-5743	231	11	.	.	PUNCT
ejpam-5743	231	12	by	by	ADP
ejpam-5743	231	13	setting	set	VERB
ejpam-5743	231	14	a	a	PRON
ejpam-5743	231	15	=	=	PUNCT
ejpam-5743	231	16	−p13	−p13	PUNCT
ejpam-5743	231	17	−	−	NOUN
ejpam-5743	231	18	p23	p23	NOUN
ejpam-5743	231	19	,	,	PUNCT
ejpam-5743	231	20	b	b	X
ejpam-5743	231	21	=	=	PUNCT
ejpam-5743	231	22	−p12	−p12	PUNCT
ejpam-5743	232	1	+	+	NUM
ejpam-5743	232	2	p23	p23	NOUN
ejpam-5743	232	3	,	,	PUNCT
ejpam-5743	232	4	c	c	NOUN
ejpam-5743	232	5	=	=	PRON
ejpam-5743	232	6	p12	p12	PROPN
ejpam-5743	232	7	+	+	CCONJ
ejpam-5743	232	8	p13	p13	NOUN
ejpam-5743	232	9	,	,	PUNCT
ejpam-5743	232	10	one	one	NUM
ejpam-5743	232	11	has	have	VERB
ejpam-5743	232	12	∂c	∂c	PROPN
ejpam-5743	232	13	∂x	∂x	PROPN
ejpam-5743	232	14	+	+	CCONJ
ejpam-5743	232	15	∂b	∂b	PROPN
ejpam-5743	232	16	∂y	∂y	NOUN
ejpam-5743	232	17	+	+	PUNCT
ejpam-5743	232	18	∂a	∂a	NOUN
ejpam-5743	232	19	∂z	∂z	PROPN
ejpam-5743	232	20	=	=	SYM
ejpam-5743	232	21	0	0	PROPN
ejpam-5743	232	22	⇔	⇔	X
ejpam-5743	232	23	div	div	X
ejpam-5743	232	24	·	·	PUNCT
ejpam-5743	232	25	v	v	X
ejpam-5743	232	26	=	=	SYM
ejpam-5743	232	27	0	0	NUM
ejpam-5743	232	28	where	where	SCONJ
ejpam-5743	232	29	v	v	NOUN
ejpam-5743	232	30	=	=	SYM
ejpam-5743	232	31	(	(	PUNCT
ejpam-5743	232	32	c	c	X
ejpam-5743	232	33	,	,	PUNCT
ejpam-5743	232	34	b	b	NOUN
ejpam-5743	232	35	,	,	PUNCT
ejpam-5743	232	36	a	a	PRON
ejpam-5743	232	37	)	)	PUNCT
ejpam-5743	232	38	.	.	PUNCT
ejpam-5743	233	1	we	we	PRON
ejpam-5743	233	2	can	can	AUX
ejpam-5743	233	3	say	say	VERB
ejpam-5743	233	4	that	that	SCONJ
ejpam-5743	233	5	the	the	DET
ejpam-5743	233	6	2	2	NUM
ejpam-5743	233	7	-	-	PUNCT
ejpam-5743	233	8	form	form	NOUN
ejpam-5743	233	9	α	α	NOUN
ejpam-5743	233	10	=	=	SYM
ejpam-5743	233	11	adx	adx	PROPN
ejpam-5743	233	12	∧	∧	PROPN
ejpam-5743	233	13	dy	dy	NOUN
ejpam-5743	233	14	+	+	CCONJ
ejpam-5743	233	15	bdx	bdx	ADJ
ejpam-5743	233	16	∧	∧	NOUN
ejpam-5743	233	17	dz	dz	PROPN
ejpam-5743	233	18	+	+	CCONJ
ejpam-5743	233	19	cdy	cdy	PROPN
ejpam-5743	233	20	∧	∧	PROPN
ejpam-5743	233	21	dz	dz	PROPN
ejpam-5743	233	22	on	on	ADP
ejpam-5743	233	23	r3	r3	PROPN
ejpam-5743	233	24	is	be	AUX
ejpam-5743	233	25	closed	close	VERB
ejpam-5743	233	26	.	.	PUNCT
ejpam-5743	234	1	since	since	SCONJ
ejpam-5743	234	2	r3	r3	PROPN
ejpam-5743	234	3	is	be	AUX
ejpam-5743	234	4	simply	simply	ADV
ejpam-5743	234	5	connected	connect	VERB
ejpam-5743	234	6	,	,	PUNCT
ejpam-5743	234	7	then	then	ADV
ejpam-5743	234	8	α	α	PROPN
ejpam-5743	234	9	is	be	AUX
ejpam-5743	234	10	exact	exact	ADJ
ejpam-5743	234	11	,	,	PUNCT
ejpam-5743	234	12	there	there	PRON
ejpam-5743	234	13	are	be	VERB
ejpam-5743	234	14	three	three	NUM
ejpam-5743	234	15	differentiable	differentiable	ADJ
ejpam-5743	234	16	functions	function	NOUN
ejpam-5743	234	17	η	η	PROPN
ejpam-5743	234	18	,	,	PUNCT
ejpam-5743	234	19	µ	µ	NOUN
ejpam-5743	234	20	,	,	PUNCT
ejpam-5743	234	21	ν	ν	NOUN
ejpam-5743	234	22	and	and	CCONJ
ejpam-5743	234	23	an	an	DET
ejpam-5743	234	24	1	1	NUM
ejpam-5743	234	25	-	-	PUNCT
ejpam-5743	234	26	form	form	NOUN
ejpam-5743	234	27	β	β	NOUN
ejpam-5743	234	28	=	=	PUNCT
ejpam-5743	234	29	ηdx+	ηdx+	ADJ
ejpam-5743	234	30	µdy	µdy	NOUN
ejpam-5743	234	31	+	+	CCONJ
ejpam-5743	234	32	νdz	νdz	NOUN
ejpam-5743	234	33	on	on	ADP
ejpam-5743	234	34	r3	r3	PROPN
ejpam-5743	234	35	such	such	ADJ
ejpam-5743	234	36	that	that	SCONJ
ejpam-5743	234	37	α	α	NOUN
ejpam-5743	234	38	=	=	PUNCT
ejpam-5743	235	1	dβ	dβ	ADP
ejpam-5743	235	2	dβ	dβ	ADJ
ejpam-5743	235	3	=	=	PUNCT
ejpam-5743	235	4	(	(	PUNCT
ejpam-5743	235	5	∂µ	∂µ	PROPN
ejpam-5743	235	6	∂x	∂x	PROPN
ejpam-5743	235	7	−	−	PROPN
ejpam-5743	235	8	∂η	∂η	PROPN
ejpam-5743	235	9	∂y	∂y	PROPN
ejpam-5743	235	10	)	)	PUNCT
ejpam-5743	235	11	dx	dx	PROPN
ejpam-5743	235	12	∧	∧	PROPN
ejpam-5743	235	13	dy	dy	NOUN
ejpam-5743	235	14	+	+	X
ejpam-5743	235	15	(	(	PUNCT
ejpam-5743	235	16	∂ν	∂ν	PART
ejpam-5743	235	17	∂x	∂x	PROPN
ejpam-5743	235	18	−	−	PROPN
ejpam-5743	235	19	∂η	∂η	PROPN
ejpam-5743	235	20	∂z	∂z	PROPN
ejpam-5743	235	21	)	)	PUNCT
ejpam-5743	236	1	dx	dx	PROPN
ejpam-5743	236	2	∧	∧	PROPN
ejpam-5743	236	3	dz	dz	PROPN
ejpam-5743	236	4	+	+	CCONJ
ejpam-5743	236	5	(	(	PUNCT
ejpam-5743	236	6	∂η	∂η	PROPN
ejpam-5743	236	7	∂y	∂y	PROPN
ejpam-5743	237	1	−	−	PROPN
ejpam-5743	237	2	∂µ	∂µ	PROPN
ejpam-5743	237	3	∂z	∂z	PROPN
ejpam-5743	237	4	)	)	PUNCT
ejpam-5743	237	5	dy	dy	NOUN
ejpam-5743	237	6	∧	∧	PROPN
ejpam-5743	237	7	dz	dz	PROPN
ejpam-5743	237	8	⇒	⇒	PROPN
ejpam-5743	237	9	m.	m.	PROPN
ejpam-5743	237	10	s.	s.	PROPN
ejpam-5743	237	11	ali	ali	PROPN
ejpam-5743	237	12	et	et	PROPN
ejpam-5743	237	13	al	al	PROPN
ejpam-5743	237	14	.	.	PUNCT
ejpam-5743	237	15	/	/	SYM
ejpam-5743	237	16	eur	eur	PROPN
ejpam-5743	237	17	.	.	PUNCT
ejpam-5743	238	1	j.	j.	PROPN
ejpam-5743	238	2	pure	pure	PROPN
ejpam-5743	238	3	appl	appl	PROPN
ejpam-5743	238	4	.	.	PROPN
ejpam-5743	238	5	math	math	PROPN
ejpam-5743	238	6	,	,	PUNCT
ejpam-5743	238	7	18	18	NUM
ejpam-5743	238	8	(	(	PUNCT
ejpam-5743	238	9	3	3	NUM
ejpam-5743	238	10	)	)	PUNCT
ejpam-5743	238	11	(	(	PUNCT
ejpam-5743	238	12	2025	2025	NUM
ejpam-5743	238	13	)	)	PUNCT
ejpam-5743	238	14	,	,	PUNCT
ejpam-5743	238	15	5743	5743	NUM
ejpam-5743	238	16	10	10	NUM
ejpam-5743	238	17	of	of	ADP
ejpam-5743	238	18	14	14	NUM
ejpam-5743	238	19	a	a	PRON
ejpam-5743	238	20	=	=	NOUN
ejpam-5743	238	21	−p13	−p13	PUNCT
ejpam-5743	238	22	−	−	NOUN
ejpam-5743	238	23	p23	p23	NOUN
ejpam-5743	238	24	=	=	PUNCT
ejpam-5743	238	25	∂µ	∂µ	PROPN
ejpam-5743	238	26	∂x	∂x	PROPN
ejpam-5743	238	27	−	−	PROPN
ejpam-5743	238	28	∂η	∂η	PROPN
ejpam-5743	238	29	∂y	∂y	PROPN
ejpam-5743	238	30	b	b	PROPN
ejpam-5743	238	31	=	=	PUNCT
ejpam-5743	238	32	−p12	−p12	PUNCT
ejpam-5743	238	33	+	+	NUM
ejpam-5743	238	34	p23	p23	X
ejpam-5743	238	35	=	=	PUNCT
ejpam-5743	239	1	∂η	∂η	PROPN
ejpam-5743	239	2	∂z	∂z	PROPN
ejpam-5743	240	1	−	−	NOUN
ejpam-5743	241	1	∂ν	∂ν	PRON
ejpam-5743	241	2	∂x	∂x	PROPN
ejpam-5743	241	3	c	c	NOUN
ejpam-5743	241	4	=	=	PRON
ejpam-5743	241	5	p12	p12	NOUN
ejpam-5743	241	6	+	+	CCONJ
ejpam-5743	241	7	p13	p13	NOUN
ejpam-5743	241	8	=	=	SYM
ejpam-5743	241	9	∂ν	∂ν	X
ejpam-5743	241	10	∂y	∂y	PROPN
ejpam-5743	241	11	−	−	PROPN
ejpam-5743	241	12	∂µ	∂µ	PROPN
ejpam-5743	241	13	∂z	∂z	PROPN
ejpam-5743	241	14	⇒	⇒	PROPN
ejpam-5743	241	15	a+b+c=0	a+b+c=0	PROPN
ejpam-5743	241	16	(	(	PUNCT
ejpam-5743	241	17	6	6	NUM
ejpam-5743	241	18	)	)	PUNCT
ejpam-5743	241	19	which	which	PRON
ejpam-5743	241	20	is	be	AUX
ejpam-5743	241	21	equivalent	equivalent	ADJ
ejpam-5743	241	22	to	to	ADP
ejpam-5743	241	23	∂	∂	NUM
ejpam-5743	241	24	∂x	∂x	PROPN
ejpam-5743	241	25	(	(	PUNCT
ejpam-5743	241	26	µ−	µ−	PROPN
ejpam-5743	241	27	ν	ν	PROPN
ejpam-5743	241	28	)	)	PUNCT
ejpam-5743	241	29	+	+	NUM
ejpam-5743	241	30	∂	∂	X
ejpam-5743	241	31	∂y	∂y	NOUN
ejpam-5743	241	32	(	(	PUNCT
ejpam-5743	241	33	ν	ν	PROPN
ejpam-5743	241	34	−	−	PROPN
ejpam-5743	241	35	η	η	PROPN
ejpam-5743	241	36	)	)	PUNCT
ejpam-5743	241	37	+	+	NUM
ejpam-5743	241	38	∂	∂	NUM
ejpam-5743	241	39	∂z	∂z	PROPN
ejpam-5743	241	40	(	(	PUNCT
ejpam-5743	241	41	η	η	PROPN
ejpam-5743	241	42	−	−	PROPN
ejpam-5743	241	43	µ	µ	NUM
ejpam-5743	241	44	)	)	PUNCT
ejpam-5743	241	45	=	=	SYM
ejpam-5743	241	46	0	0	NUM
ejpam-5743	241	47	which	which	PRON
ejpam-5743	241	48	is	be	AUX
ejpam-5743	241	49	also	also	ADV
ejpam-5743	241	50	equivalent	equivalent	ADJ
ejpam-5743	241	51	to	to	ADP
ejpam-5743	241	52			PROPN
ejpam-5743	241	53	η	η	PROPN
ejpam-5743	241	54	=	=	PROPN
ejpam-5743	241	55	ν	ν	X
ejpam-5743	241	56	η	η	PROPN
ejpam-5743	241	57	=	=	PROPN
ejpam-5743	241	58	µ	µ	X
ejpam-5743	241	59	µ	µ	X
ejpam-5743	241	60	=	=	SYM
ejpam-5743	241	61	ν	ν	X
ejpam-5743	241	62	⇔	⇔	PROPN
ejpam-5743	241	63	η	η	PROPN
ejpam-5743	241	64	=	=	PROPN
ejpam-5743	241	65	µ	µ	X
ejpam-5743	241	66	=	=	SYM
ejpam-5743	241	67	ν	ν	X
ejpam-5743	241	68	.	.	PUNCT
ejpam-5743	242	1	therefore	therefore	ADV
ejpam-5743	242	2	the	the	DET
ejpam-5743	242	3	system	system	NOUN
ejpam-5743	242	4	(	(	PUNCT
ejpam-5743	242	5	6	6	NUM
ejpam-5743	242	6	)	)	PUNCT
ejpam-5743	242	7	becomes	becomes	PROPN
ejpam-5743	242	8	a	a	NOUN
ejpam-5743	242	9	=	=	PUNCT
ejpam-5743	242	10	−p13	−p13	PUNCT
ejpam-5743	242	11	−	−	NOUN
ejpam-5743	242	12	p23	p23	NOUN
ejpam-5743	242	13	=	=	PUNCT
ejpam-5743	242	14	∂µ	∂µ	PROPN
ejpam-5743	242	15	∂x	∂x	PROPN
ejpam-5743	242	16	−	−	PROPN
ejpam-5743	242	17	∂µ	∂µ	PROPN
ejpam-5743	242	18	∂y	∂y	PROPN
ejpam-5743	242	19	b	b	PROPN
ejpam-5743	242	20	=	=	PUNCT
ejpam-5743	242	21	−p12	−p12	PUNCT
ejpam-5743	242	22	+	+	NUM
ejpam-5743	242	23	p23	p23	NOUN
ejpam-5743	242	24	=	=	PUNCT
ejpam-5743	242	25	∂µ	∂µ	PROPN
ejpam-5743	242	26	∂z	∂z	PROPN
ejpam-5743	243	1	−	−	PROPN
ejpam-5743	243	2	∂µ	∂µ	PROPN
ejpam-5743	243	3	∂x	∂x	PROPN
ejpam-5743	243	4	c	c	NOUN
ejpam-5743	243	5	=	=	PUNCT
ejpam-5743	243	6	p12	p12	NOUN
ejpam-5743	243	7	+	+	CCONJ
ejpam-5743	243	8	p13	p13	NOUN
ejpam-5743	243	9	=	=	SYM
ejpam-5743	243	10	∂µ	∂µ	PROPN
ejpam-5743	243	11	∂y	∂y	PROPN
ejpam-5743	243	12	−	−	PROPN
ejpam-5743	243	13	∂µ	∂µ	PROPN
ejpam-5743	243	14	∂z	∂z	PROPN
ejpam-5743	243	15	.	.	PUNCT
ejpam-5743	244	1	by	by	ADP
ejpam-5743	244	2	identification	identification	NOUN
ejpam-5743	244	3	we	we	PRON
ejpam-5743	244	4	obtain	obtain	VERB
ejpam-5743	244	5	p12	p12	ADJ
ejpam-5743	244	6	=	=	PUNCT
ejpam-5743	244	7	−∂µ	−∂µ	PROPN
ejpam-5743	244	8	∂z	∂z	PROPN
ejpam-5743	244	9	,	,	PUNCT
ejpam-5743	244	10	p13	p13	NOUN
ejpam-5743	244	11	=	=	SYM
ejpam-5743	244	12	∂µ	∂µ	PROPN
ejpam-5743	244	13	∂y	∂y	PROPN
ejpam-5743	244	14	,	,	PUNCT
ejpam-5743	244	15	p23	p23	NOUN
ejpam-5743	244	16	=	=	SYM
ejpam-5743	244	17	−∂µ	−∂µ	PROPN
ejpam-5743	244	18	∂x	∂x	PROPN
ejpam-5743	244	19	.	.	PUNCT
ejpam-5743	245	1	which	which	PRON
ejpam-5743	245	2	gives	give	VERB
ejpam-5743	245	3	the	the	DET
ejpam-5743	245	4	desired	desire	VERB
ejpam-5743	245	5	result	result	NOUN
ejpam-5743	245	6	.	.	PUNCT
ejpam-5743	246	1	remark	remark	NOUN
ejpam-5743	246	2	2	2	NUM
ejpam-5743	246	3	.	.	PUNCT
ejpam-5743	247	1	by	by	ADP
ejpam-5743	247	2	setting	set	VERB
ejpam-5743	247	3	f	f	X
ejpam-5743	247	4	=	=	PUNCT
ejpam-5743	247	5	−µ	−µ	ADV
ejpam-5743	247	6	we	we	PRON
ejpam-5743	247	7	find	find	VERB
ejpam-5743	247	8	the	the	DET
ejpam-5743	247	9	results	result	NOUN
ejpam-5743	247	10	of	of	ADP
ejpam-5743	247	11	m.	m.	NOUN
ejpam-5743	247	12	boucetta	boucetta	NOUN
ejpam-5743	248	1	[	[	X
ejpam-5743	248	2	4	4	NUM
ejpam-5743	248	3	]	]	PUNCT
ejpam-5743	248	4	.	.	PUNCT
ejpam-5743	249	1	4	4	X
ejpam-5743	249	2	.	.	X
ejpam-5743	249	3	link	link	NOUN
ejpam-5743	249	4	between	between	ADP
ejpam-5743	249	5	jacobi	jacobi	PROPN
ejpam-5743	249	6	structures	structure	NOUN
ejpam-5743	249	7	and	and	CCONJ
ejpam-5743	249	8	poisson	poisson	NOUN
ejpam-5743	249	9	structures	structure	NOUN
ejpam-5743	249	10	contrary	contrary	ADJ
ejpam-5743	249	11	to	to	ADP
ejpam-5743	249	12	theorem	theorem	NOUN
ejpam-5743	249	13	1	1	NUM
ejpam-5743	249	14	,	,	PUNCT
ejpam-5743	249	15	here	here	ADV
ejpam-5743	249	16	we	we	PRON
ejpam-5743	249	17	show	show	VERB
ejpam-5743	249	18	the	the	DET
ejpam-5743	249	19	existence	existence	NOUN
ejpam-5743	249	20	of	of	ADP
ejpam-5743	249	21	a	a	DET
ejpam-5743	249	22	poisson	poisson	NOUN
ejpam-5743	249	23	structure	structure	NOUN
ejpam-5743	249	24	from	from	ADP
ejpam-5743	249	25	a	a	DET
ejpam-5743	249	26	jacobi	jacobi	PROPN
ejpam-5743	249	27	structure	structure	NOUN
ejpam-5743	249	28	on	on	ADP
ejpam-5743	249	29	a	a	DET
ejpam-5743	249	30	manifold	manifold	NOUN
ejpam-5743	249	31	of	of	ADP
ejpam-5743	249	32	dimension	dimension	NOUN
ejpam-5743	249	33	3	3	NUM
ejpam-5743	249	34	.	.	PUNCT
ejpam-5743	250	1	let	let	VERB
ejpam-5743	250	2	(	(	PUNCT
ejpam-5743	250	3	m	m	PROPN
ejpam-5743	250	4	,	,	PUNCT
ejpam-5743	250	5	π	π	PROPN
ejpam-5743	250	6	,	,	PUNCT
ejpam-5743	250	7	e	e	NOUN
ejpam-5743	250	8	)	)	PUNCT
ejpam-5743	250	9	and	and	CCONJ
ejpam-5743	250	10	(	(	PUNCT
ejpam-5743	250	11	m	m	PROPN
ejpam-5743	250	12	,	,	PUNCT
ejpam-5743	250	13	p	p	NOUN
ejpam-5743	250	14	)	)	PUNCT
ejpam-5743	250	15	respectively	respectively	ADV
ejpam-5743	250	16	a	a	DET
ejpam-5743	250	17	jacobi	jacobi	PROPN
ejpam-5743	250	18	manifold	manifold	PROPN
ejpam-5743	250	19	and	and	CCONJ
ejpam-5743	250	20	poisson	poisson	PROPN
ejpam-5743	250	21	manifold	manifold	NOUN
ejpam-5743	250	22	,	,	PUNCT
ejpam-5743	251	1	where	where	SCONJ
ejpam-5743	251	2	π	π	PROPN
ejpam-5743	251	3	=	=	SYM
ejpam-5743	251	4	π12∂x	π12∂x	PROPN
ejpam-5743	251	5	∧	∧	PROPN
ejpam-5743	251	6	∂y	∂y	PROPN
ejpam-5743	251	7	+	+	CCONJ
ejpam-5743	251	8	π13∂x	π13∂x	PROPN
ejpam-5743	251	9	∧	∧	PROPN
ejpam-5743	251	10	∂z	∂z	PROPN
ejpam-5743	252	1	+	+	CCONJ
ejpam-5743	252	2	π23∂y	π23∂y	PROPN
ejpam-5743	252	3	∧	∧	PROPN
ejpam-5743	252	4	∂z	∂z	PROPN
ejpam-5743	252	5	,	,	PUNCT
ejpam-5743	252	6	e	e	NOUN
ejpam-5743	252	7	=	=	PUNCT
ejpam-5743	252	8	e1∂x	e1∂x	NOUN
ejpam-5743	252	9	+	+	CCONJ
ejpam-5743	252	10	e2∂y	e2∂y	NOUN
ejpam-5743	252	11	+	+	CCONJ
ejpam-5743	252	12	e3∂z	e3∂z	PROPN
ejpam-5743	252	13	.	.	PUNCT
ejpam-5743	252	14	theorem	theorem	VERB
ejpam-5743	252	15	5	5	NUM
ejpam-5743	252	16	.	.	PUNCT
ejpam-5743	253	1	let	let	VERB
ejpam-5743	253	2	(	(	PUNCT
ejpam-5743	253	3	m	m	PROPN
ejpam-5743	253	4	,	,	PUNCT
ejpam-5743	253	5	π	π	PROPN
ejpam-5743	253	6	,	,	PUNCT
ejpam-5743	253	7	e	e	NOUN
ejpam-5743	253	8	)	)	PUNCT
ejpam-5743	253	9	be	be	AUX
ejpam-5743	253	10	a	a	DET
ejpam-5743	253	11	jacobi	jacobi	PROPN
ejpam-5743	253	12	manifold	manifold	NOUN
ejpam-5743	253	13	.	.	PUNCT
ejpam-5743	254	1	then	then	ADV
ejpam-5743	254	2	there	there	PRON
ejpam-5743	254	3	exists	exist	VERB
ejpam-5743	254	4	a	a	DET
ejpam-5743	254	5	vector	vector	NOUN
ejpam-5743	254	6	field	field	NOUN
ejpam-5743	254	7	z	z	NOUN
ejpam-5743	254	8	on	on	ADP
ejpam-5743	254	9	tm	tm	NOUN
ejpam-5743	254	10	different	different	ADJ
ejpam-5743	254	11	from	from	ADP
ejpam-5743	254	12	e	e	ADP
ejpam-5743	254	13	such	such	ADJ
ejpam-5743	254	14	that	that	SCONJ
ejpam-5743	254	15	the	the	DET
ejpam-5743	254	16	bivector	bivector	NOUN
ejpam-5743	254	17	p	p	PROPN
ejpam-5743	254	18	defined	define	VERB
ejpam-5743	254	19	by	by	ADP
ejpam-5743	254	20	p	p	NOUN
ejpam-5743	254	21	=	=	PUNCT
ejpam-5743	254	22	π	π	PROPN
ejpam-5743	254	23	+	+	CCONJ
ejpam-5743	254	24	e	e	PROPN
ejpam-5743	254	25	∧	∧	PROPN
ejpam-5743	254	26	z	z	PROPN
ejpam-5743	254	27	,	,	PUNCT
ejpam-5743	254	28	is	be	AUX
ejpam-5743	254	29	a	a	DET
ejpam-5743	254	30	poisson	poisson	NOUN
ejpam-5743	254	31	m.	m.	NOUN
ejpam-5743	254	32	s.	s.	PROPN
ejpam-5743	254	33	ali	ali	PROPN
ejpam-5743	254	34	et	et	PROPN
ejpam-5743	254	35	al	al	PROPN
ejpam-5743	254	36	.	.	PUNCT
ejpam-5743	254	37	/	/	SYM
ejpam-5743	254	38	eur	eur	PROPN
ejpam-5743	254	39	.	.	PUNCT
ejpam-5743	255	1	j.	j.	PROPN
ejpam-5743	255	2	pure	pure	PROPN
ejpam-5743	255	3	appl	appl	PROPN
ejpam-5743	255	4	.	.	PROPN
ejpam-5743	255	5	math	math	PROPN
ejpam-5743	255	6	,	,	PUNCT
ejpam-5743	255	7	18	18	NUM
ejpam-5743	255	8	(	(	PUNCT
ejpam-5743	255	9	3	3	NUM
ejpam-5743	255	10	)	)	PUNCT
ejpam-5743	255	11	(	(	PUNCT
ejpam-5743	255	12	2025	2025	NUM
ejpam-5743	255	13	)	)	PUNCT
ejpam-5743	255	14	,	,	PUNCT
ejpam-5743	255	15	5743	5743	NUM
ejpam-5743	255	16	11	11	NUM
ejpam-5743	255	17	of	of	ADP
ejpam-5743	255	18	14	14	NUM
ejpam-5743	255	19	tensor	tensor	NOUN
ejpam-5743	255	20	on	on	ADP
ejpam-5743	255	21	m.	m.	NOUN
ejpam-5743	255	22	there	there	PRON
ejpam-5743	255	23	is	be	VERB
ejpam-5743	255	24	a	a	DET
ejpam-5743	255	25	natural	natural	ADJ
ejpam-5743	255	26	one	one	NUM
ejpam-5743	255	27	-	-	PUNCT
ejpam-5743	255	28	to	to	ADP
ejpam-5743	255	29	-	-	PUNCT
ejpam-5743	255	30	one	one	NUM
ejpam-5743	255	31	correspondence	correspondence	NOUN
ejpam-5743	255	32	between	between	ADP
ejpam-5743	255	33	jacobi	jacobi	PROPN
ejpam-5743	255	34	manifold	manifold	PROPN
ejpam-5743	255	35	and	and	CCONJ
ejpam-5743	255	36	poisson	poisson	PROPN
ejpam-5743	255	37	manifold	manifold	NOUN
ejpam-5743	255	38	(	(	PUNCT
ejpam-5743	255	39	[	[	X
ejpam-5743	255	40	p	p	X
ejpam-5743	255	41	,	,	PUNCT
ejpam-5743	255	42	p	p	X
ejpam-5743	255	43	]	]	X
ejpam-5743	255	44	=	=	SYM
ejpam-5743	255	45	0	0	NUM
ejpam-5743	255	46	)	)	PUNCT
ejpam-5743	255	47	,	,	PUNCT
ejpam-5743	255	48	which	which	PRON
ejpam-5743	255	49	is	be	AUX
ejpam-5743	255	50	,	,	PUNCT
ejpam-5743	255	51	if	if	SCONJ
ejpam-5743	255	52	and	and	CCONJ
ejpam-5743	255	53	only	only	ADV
ejpam-5743	255	54	if	if	SCONJ
ejpam-5743	255	55	−2e1π13	−2e1π13	VERB
ejpam-5743	255	56	+	+	CCONJ
ejpam-5743	255	57	2e2π13	2e2π13	NUM
ejpam-5743	255	58	−	−	PROPN
ejpam-5743	255	59	2e3π12	2e3π12	NUM
ejpam-5743	255	60	=	=	SYM
ejpam-5743	255	61	(	(	PUNCT
ejpam-5743	255	62	2π12	2π12	NUM
ejpam-5743	255	63	−a	−a	NOUN
ejpam-5743	255	64	)	)	PUNCT
ejpam-5743	255	65	∂b	∂b	NOUN
ejpam-5743	255	66	∂x	∂x	NOUN
ejpam-5743	255	67	+	+	CCONJ
ejpam-5743	255	68	(	(	PUNCT
ejpam-5743	255	69	2π13	2π13	ADV
ejpam-5743	255	70	−	−	NOUN
ejpam-5743	255	71	c	c	NOUN
ejpam-5743	255	72	)	)	PUNCT
ejpam-5743	256	1	∂a	∂a	NOUN
ejpam-5743	256	2	∂y	∂y	PRON
ejpam-5743	257	1	+	+	NOUN
ejpam-5743	257	2	a	a	DET
ejpam-5743	257	3	(	(	PUNCT
ejpam-5743	257	4	2∂π13	2∂π13	ADJ
ejpam-5743	257	5	∂x	∂x	PROPN
ejpam-5743	257	6	−	−	PROPN
ejpam-5743	257	7	∂c	∂c	PROPN
ejpam-5743	257	8	∂y	∂y	PROPN
ejpam-5743	257	9	)	)	PUNCT
ejpam-5743	258	1	+	+	NOUN
ejpam-5743	258	2	b	b	NOUN
ejpam-5743	258	3	(	(	PUNCT
ejpam-5743	258	4	2	2	NUM
ejpam-5743	258	5	∂π12	∂π12	NOUN
ejpam-5743	258	6	∂x	∂x	PROPN
ejpam-5743	258	7	−	−	PROPN
ejpam-5743	258	8	∂c	∂c	PROPN
ejpam-5743	258	9	∂z	∂z	PROPN
ejpam-5743	258	10	)	)	PUNCT
ejpam-5743	259	1	+	+	CCONJ
ejpam-5743	259	2	c	c	NOUN
ejpam-5743	259	3	(	(	PUNCT
ejpam-5743	259	4	2	2	NUM
ejpam-5743	259	5	∂π12	∂π12	NOUN
ejpam-5743	259	6	∂y	∂y	PROPN
ejpam-5743	259	7	−	−	PROPN
ejpam-5743	259	8	∂b	∂b	PROPN
ejpam-5743	259	9	∂z	∂z	PROPN
ejpam-5743	259	10	)	)	PUNCT
ejpam-5743	260	1	+	+	NUM
ejpam-5743	260	2	2π13	2π13	X
ejpam-5743	260	3	∂a	∂a	ADP
ejpam-5743	260	4	∂x	∂x	PROPN
ejpam-5743	260	5	,	,	PUNCT
ejpam-5743	260	6	(	(	PUNCT
ejpam-5743	260	7	7	7	X
ejpam-5743	260	8	)	)	PUNCT
ejpam-5743	260	9	wehere	wehere	VERB
ejpam-5743	260	10	π	π	PROPN
ejpam-5743	260	11	=	=	SYM
ejpam-5743	260	12	π12∂x	π12∂x	PROPN
ejpam-5743	260	13	∧	∧	NOUN
ejpam-5743	260	14	∂y	∂y	X
ejpam-5743	260	15	+	+	CCONJ
ejpam-5743	260	16	π13∂x∧∂z	π13∂x∧∂z	NOUN
ejpam-5743	260	17	+	+	CCONJ
ejpam-5743	260	18	π23∂y	π23∂y	PROPN
ejpam-5743	260	19	∧	∧	PROPN
ejpam-5743	260	20	∂z	∂z	PROPN
ejpam-5743	260	21	e	e	NOUN
ejpam-5743	260	22	=	=	PUNCT
ejpam-5743	260	23	=	=	PUNCT
ejpam-5743	260	24	e1∂x	e1∂x	NOUN
ejpam-5743	260	25	+	+	CCONJ
ejpam-5743	260	26	e2∂y	e2∂y	NOUN
ejpam-5743	260	27	+	+	CCONJ
ejpam-5743	260	28	e3∂z	e3∂z	PROPN
ejpam-5743	260	29	z	z	NOUN
ejpam-5743	260	30	=	=	PUNCT
ejpam-5743	260	31	z1∂x	z1∂x	PROPN
ejpam-5743	260	32	+	+	CCONJ
ejpam-5743	260	33	z2∂y	z2∂y	NOUN
ejpam-5743	260	34	+	+	CCONJ
ejpam-5743	260	35	z3∂z	z3∂z	PROPN
ejpam-5743	260	36	.	.	PUNCT
ejpam-5743	261	1	a	a	DET
ejpam-5743	261	2	=	=	NOUN
ejpam-5743	261	3	e1z2	e1z2	ADP
ejpam-5743	261	4	−	−	PROPN
ejpam-5743	261	5	e2z1	e2z1	PROPN
ejpam-5743	261	6	,	,	PUNCT
ejpam-5743	261	7	b	b	X
ejpam-5743	261	8	=	=	PUNCT
ejpam-5743	261	9	e1z3	e1z3	PROPN
ejpam-5743	261	10	−	−	NOUN
ejpam-5743	261	11	e3z1	e3z1	NOUN
ejpam-5743	261	12	and	and	CCONJ
ejpam-5743	261	13	c	c	X
ejpam-5743	261	14	=	=	NOUN
ejpam-5743	262	1	e2z3	e2z3	ADP
ejpam-5743	262	2	−	−	NOUN
ejpam-5743	262	3	e3z2	e3z2	NOUN
ejpam-5743	262	4	.	.	PUNCT
ejpam-5743	263	1	moreover	moreover	ADV
ejpam-5743	263	2	p	p	NOUN
ejpam-5743	263	3	=	=	X
ejpam-5743	263	4	(	(	PUNCT
ejpam-5743	263	5	π12+e1z2−e2z1)∂x∧∂y+(π13+e1z3−e3z1)∂x∧∂z+(π23+e2z3−e3z2)∂y∧∂z	π12+e1z2−e2z1)∂x∧∂y+(π13+e1z3−e3z1)∂x∧∂z+(π23+e2z3−e3z2)∂y∧∂z	PROPN
ejpam-5743	263	6	.	.	PUNCT
ejpam-5743	264	1	proof	proof	NOUN
ejpam-5743	264	2	.	.	PUNCT
ejpam-5743	265	1	to	to	PART
ejpam-5743	265	2	obtain	obtain	VERB
ejpam-5743	265	3	the	the	DET
ejpam-5743	265	4	result	result	NOUN
ejpam-5743	265	5	it	it	PRON
ejpam-5743	265	6	is	be	AUX
ejpam-5743	265	7	enough	enough	ADJ
ejpam-5743	265	8	to	to	PART
ejpam-5743	265	9	show	show	VERB
ejpam-5743	265	10	that	that	SCONJ
ejpam-5743	265	11	,	,	PUNCT
ejpam-5743	265	12	by	by	ADP
ejpam-5743	265	13	using	use	VERB
ejpam-5743	265	14	equation	equation	NOUN
ejpam-5743	265	15	(	(	PUNCT
ejpam-5743	265	16	2	2	NUM
ejpam-5743	265	17	)	)	PUNCT
ejpam-5743	265	18	,	,	PUNCT
ejpam-5743	266	1	[	[	X
ejpam-5743	266	2	p	p	X
ejpam-5743	266	3	,	,	PUNCT
ejpam-5743	266	4	p	p	X
ejpam-5743	266	5	]	]	X
ejpam-5743	266	6	=	=	PUNCT
ejpam-5743	267	1	[	[	X
ejpam-5743	267	2	π	π	X
ejpam-5743	267	3	+	+	CCONJ
ejpam-5743	267	4	e	e	PROPN
ejpam-5743	267	5	∧	∧	PROPN
ejpam-5743	267	6	z	z	PROPN
ejpam-5743	267	7	,	,	PUNCT
ejpam-5743	267	8	π	π	PROPN
ejpam-5743	267	9	+	+	CCONJ
ejpam-5743	267	10	e	e	PROPN
ejpam-5743	267	11	∧	∧	PROPN
ejpam-5743	267	12	z	z	PROPN
ejpam-5743	267	13	]	]	X
ejpam-5743	267	14	=	=	PUNCT
ejpam-5743	268	1	[	[	X
ejpam-5743	268	2	π	π	X
ejpam-5743	268	3	,	,	PUNCT
ejpam-5743	268	4	π]π	π]π	VERB
ejpam-5743	268	5	+	+	X
ejpam-5743	269	1	[	[	X
ejpam-5743	269	2	π	π	X
ejpam-5743	269	3	,	,	PUNCT
ejpam-5743	269	4	e	e	PROPN
ejpam-5743	269	5	∧	∧	PROPN
ejpam-5743	269	6	z	z	X
ejpam-5743	269	7	]	]	X
ejpam-5743	269	8	+	+	CCONJ
ejpam-5743	270	1	[	[	X
ejpam-5743	270	2	e	e	X
ejpam-5743	270	3	∧	∧	PROPN
ejpam-5743	270	4	z	z	PROPN
ejpam-5743	270	5	,	,	PUNCT
ejpam-5743	270	6	π	π	X
ejpam-5743	270	7	]	]	X
ejpam-5743	271	1	+	+	CCONJ
ejpam-5743	272	1	[	[	X
ejpam-5743	272	2	e	e	X
ejpam-5743	272	3	∧	∧	PROPN
ejpam-5743	272	4	z	z	PROPN
ejpam-5743	272	5	,	,	PUNCT
ejpam-5743	272	6	e	e	PROPN
ejpam-5743	272	7	∧	∧	PROPN
ejpam-5743	272	8	z	z	X
ejpam-5743	272	9	]	]	X
ejpam-5743	272	10	=	=	SYM
ejpam-5743	272	11	0	0	NUM
ejpam-5743	272	12	we	we	PRON
ejpam-5743	272	13	can	can	AUX
ejpam-5743	272	14	assume	assume	VERB
ejpam-5743	272	15	that	that	SCONJ
ejpam-5743	272	16	e	e	PROPN
ejpam-5743	272	17	̸=	̸=	PROPN
ejpam-5743	272	18	z.	z.	PROPN
ejpam-5743	272	19	then	then	ADV
ejpam-5743	272	20	one	one	PRON
ejpam-5743	272	21	has	have	VERB
ejpam-5743	272	22	e	e	X
ejpam-5743	272	23	∧	∧	PROPN
ejpam-5743	272	24	z	z	NOUN
ejpam-5743	272	25	=	=	PUNCT
ejpam-5743	272	26	(	(	PUNCT
ejpam-5743	272	27	e1∂x	e1∂x	NOUN
ejpam-5743	272	28	+	+	CCONJ
ejpam-5743	272	29	e2∂y	e2∂y	PROPN
ejpam-5743	272	30	+	+	CCONJ
ejpam-5743	272	31	e3∂z	e3∂z	PROPN
ejpam-5743	272	32	)	)	PUNCT
ejpam-5743	272	33	∧	∧	PROPN
ejpam-5743	272	34	(	(	PUNCT
ejpam-5743	272	35	z1∂x	z1∂x	NOUN
ejpam-5743	272	36	+	+	CCONJ
ejpam-5743	272	37	z2∂y	z2∂y	NOUN
ejpam-5743	272	38	+	+	CCONJ
ejpam-5743	272	39	z3∂z	z3∂z	NOUN
ejpam-5743	272	40	)	)	PUNCT
ejpam-5743	273	1	=	=	PRON
ejpam-5743	273	2	(	(	PUNCT
ejpam-5743	273	3	e1z2	e1z2	NOUN
ejpam-5743	273	4	−	−	NUM
ejpam-5743	273	5	e2z1	e2z1	NOUN
ejpam-5743	273	6	)	)	PUNCT
ejpam-5743	273	7	∂x	∂x	PROPN
ejpam-5743	273	8	∧	∧	NOUN
ejpam-5743	273	9	∂y	∂y	PROPN
ejpam-5743	274	1	+	+	CCONJ
ejpam-5743	274	2	(	(	PUNCT
ejpam-5743	274	3	e1z3	e1z3	PROPN
ejpam-5743	274	4	−	−	PROPN
ejpam-5743	274	5	e3z1	e3z1	NOUN
ejpam-5743	274	6	)	)	PUNCT
ejpam-5743	274	7	∂x	∂x	PROPN
ejpam-5743	274	8	∧	∧	NOUN
ejpam-5743	274	9	∂z	∂z	PROPN
ejpam-5743	274	10	+	+	CCONJ
ejpam-5743	274	11	(	(	PUNCT
ejpam-5743	274	12	e2z3	e2z3	ADP
ejpam-5743	274	13	−	−	NOUN
ejpam-5743	274	14	e3z2	e3z2	NOUN
ejpam-5743	274	15	)	)	PUNCT
ejpam-5743	274	16	∂y	∂y	PROPN
ejpam-5743	274	17	∧	∧	NOUN
ejpam-5743	274	18	∂z	∂z	PROPN
ejpam-5743	274	19	=	=	SYM
ejpam-5743	274	20	a∂x	a∂x	VERB
ejpam-5743	274	21	∧	∧	PROPN
ejpam-5743	274	22	∂y	∂y	SYM
ejpam-5743	275	1	+	+	NOUN
ejpam-5743	275	2	b∂x	b∂x	NOUN
ejpam-5743	275	3	∧	∧	PROPN
ejpam-5743	275	4	∂z	∂z	PROPN
ejpam-5743	275	5	+	+	CCONJ
ejpam-5743	275	6	c∂y	c∂y	VERB
ejpam-5743	275	7	∧	∧	PROPN
ejpam-5743	275	8	∂z	∂z	PROPN
ejpam-5743	275	9	.	.	PUNCT
ejpam-5743	276	1	a	a	DET
ejpam-5743	276	2	straightforward	straightforward	ADJ
ejpam-5743	276	3	computation	computation	NOUN
ejpam-5743	276	4	show	show	VERB
ejpam-5743	276	5	that	that	SCONJ
ejpam-5743	276	6	[	[	X
ejpam-5743	276	7	e	e	X
ejpam-5743	276	8	∧	∧	PROPN
ejpam-5743	276	9	z	z	PROPN
ejpam-5743	276	10	,	,	PUNCT
ejpam-5743	276	11	e	e	PROPN
ejpam-5743	276	12	∧	∧	PROPN
ejpam-5743	276	13	z	z	PROPN
ejpam-5743	276	14	]	]	X
ejpam-5743	276	15	=	=	PUNCT
ejpam-5743	276	16	(	(	PUNCT
ejpam-5743	276	17	−a	−a	ADJ
ejpam-5743	276	18	∂b	∂b	PROPN
ejpam-5743	276	19	∂x	∂x	PROPN
ejpam-5743	276	20	−	−	PROPN
ejpam-5743	276	21	c	c	NOUN
ejpam-5743	277	1	∂a	∂a	NOUN
ejpam-5743	277	2	∂y	∂y	PROPN
ejpam-5743	277	3	−a	−a	NOUN
ejpam-5743	277	4	∂c	∂c	PROPN
ejpam-5743	278	1	∂y	∂y	NOUN
ejpam-5743	278	2	−	−	NOUN
ejpam-5743	278	3	c	c	PROPN
ejpam-5743	278	4	∂b	∂b	PROPN
ejpam-5743	278	5	∂z	∂z	PROPN
ejpam-5743	278	6	−b	−b	ADP
ejpam-5743	278	7	∂c	∂c	PROPN
ejpam-5743	278	8	∂z	∂z	PROPN
ejpam-5743	278	9	)	)	PUNCT
ejpam-5743	279	1	∂x	∂x	PROPN
ejpam-5743	279	2	∧	∧	PROPN
ejpam-5743	279	3	∂y	∂y	PROPN
ejpam-5743	279	4	∧	∧	PROPN
ejpam-5743	279	5	∂z	∂z	PROPN
ejpam-5743	279	6	.	.	PUNCT
ejpam-5743	280	1	(	(	PUNCT
ejpam-5743	280	2	8)	8)	NUM
ejpam-5743	280	3	[	[	X
ejpam-5743	280	4	π	π	PROPN
ejpam-5743	280	5	,	,	PUNCT
ejpam-5743	280	6	π	π	X
ejpam-5743	280	7	]	]	X
ejpam-5743	280	8	=	=	SYM
ejpam-5743	280	9	2e	2e	NUM
ejpam-5743	280	10	∧	∧	PROPN
ejpam-5743	280	11	π	π	NOUN
ejpam-5743	280	12	=	=	SYM
ejpam-5743	280	13	2	2	NUM
ejpam-5743	280	14	(	(	PUNCT
ejpam-5743	280	15	e1π23	e1π23	VERB
ejpam-5743	280	16	−	−	PROPN
ejpam-5743	280	17	e2π13	e2π13	NOUN
ejpam-5743	280	18	+	+	CCONJ
ejpam-5743	280	19	e3π12	e3π12	NOUN
ejpam-5743	280	20	)	)	PUNCT
ejpam-5743	280	21	∂x	∂x	PROPN
ejpam-5743	280	22	∧	∧	PROPN
ejpam-5743	280	23	∂y	∂y	PROPN
ejpam-5743	280	24	∧	∧	PROPN
ejpam-5743	280	25	∂z	∂z	PROPN
ejpam-5743	280	26	(	(	PUNCT
ejpam-5743	280	27	9	9	NUM
ejpam-5743	280	28	)	)	PUNCT
ejpam-5743	281	1	[	[	X
ejpam-5743	281	2	π	π	X
ejpam-5743	281	3	,	,	PUNCT
ejpam-5743	281	4	e	e	PROPN
ejpam-5743	281	5	∧	∧	PROPN
ejpam-5743	281	6	z	z	X
ejpam-5743	281	7	]	]	X
ejpam-5743	281	8	+	+	CCONJ
ejpam-5743	282	1	[	[	X
ejpam-5743	282	2	e	e	X
ejpam-5743	282	3	∧	∧	PROPN
ejpam-5743	282	4	z	z	PROPN
ejpam-5743	282	5	,	,	PUNCT
ejpam-5743	282	6	π	π	X
ejpam-5743	282	7	]	]	X
ejpam-5743	282	8	=	=	SYM
ejpam-5743	282	9	2	2	NUM
ejpam-5743	282	10	(	(	PUNCT
ejpam-5743	282	11	b	b	NOUN
ejpam-5743	282	12	∂π12	∂π12	NOUN
ejpam-5743	282	13	∂x	∂x	PROPN
ejpam-5743	282	14	−	−	PROPN
ejpam-5743	282	15	π12	π12	NOUN
ejpam-5743	282	16	∂b	∂b	PROPN
ejpam-5743	282	17	∂x	∂x	PROPN
ejpam-5743	282	18	+	+	CCONJ
ejpam-5743	282	19	c	c	PROPN
ejpam-5743	282	20	∂π12	∂π12	NOUN
ejpam-5743	282	21	∂y	∂y	NOUN
ejpam-5743	283	1	+	+	ADP
ejpam-5743	283	2	a	a	DET
ejpam-5743	283	3	∂π13	∂π13	ADJ
ejpam-5743	283	4	∂x	∂x	NOUN
ejpam-5743	283	5	+	+	NOUN
ejpam-5743	283	6	π13	π13	NOUN
ejpam-5743	283	7	∂a	∂a	PROPN
ejpam-5743	283	8	∂x	∂x	PROPN
ejpam-5743	283	9	+	+	CCONJ
ejpam-5743	283	10	π23	π23	X
ejpam-5743	283	11	∂a	∂a	PROPN
ejpam-5743	283	12	∂y	∂y	SYM
ejpam-5743	283	13	)	)	PUNCT
ejpam-5743	283	14	∂x	∂x	PROPN
ejpam-5743	283	15	∧	∧	PROPN
ejpam-5743	283	16	∂y	∂y	PROPN
ejpam-5743	283	17	∧	∧	PROPN
ejpam-5743	283	18	∂z	∂z	PROPN
ejpam-5743	283	19	(	(	PUNCT
ejpam-5743	283	20	10	10	NUM
ejpam-5743	283	21	)	)	PUNCT
ejpam-5743	283	22	m.	m.	NOUN
ejpam-5743	283	23	s.	s.	PROPN
ejpam-5743	283	24	ali	ali	PROPN
ejpam-5743	283	25	et	et	PROPN
ejpam-5743	283	26	al	al	PROPN
ejpam-5743	283	27	.	.	PUNCT
ejpam-5743	283	28	/	/	SYM
ejpam-5743	283	29	eur	eur	PROPN
ejpam-5743	283	30	.	.	PUNCT
ejpam-5743	284	1	j.	j.	PROPN
ejpam-5743	284	2	pure	pure	PROPN
ejpam-5743	284	3	appl	appl	PROPN
ejpam-5743	284	4	.	.	PROPN
ejpam-5743	284	5	math	math	PROPN
ejpam-5743	284	6	,	,	PUNCT
ejpam-5743	284	7	18	18	NUM
ejpam-5743	284	8	(	(	PUNCT
ejpam-5743	284	9	3	3	NUM
ejpam-5743	284	10	)	)	PUNCT
ejpam-5743	284	11	(	(	PUNCT
ejpam-5743	284	12	2025	2025	NUM
ejpam-5743	284	13	)	)	PUNCT
ejpam-5743	284	14	,	,	PUNCT
ejpam-5743	284	15	5743	5743	NUM
ejpam-5743	284	16	12	12	NUM
ejpam-5743	284	17	of	of	ADP
ejpam-5743	284	18	14	14	NUM
ejpam-5743	284	19	so	so	ADV
ejpam-5743	284	20	equation	equation	NOUN
ejpam-5743	284	21	(	(	PUNCT
ejpam-5743	284	22	8)	8)	NUM
ejpam-5743	284	23	by	by	ADP
ejpam-5743	284	24	(	(	PUNCT
ejpam-5743	284	25	9)-(10	9)-(10	NUM
ejpam-5743	284	26	)	)	PUNCT
ejpam-5743	284	27	,	,	PUNCT
ejpam-5743	284	28	becomes	become	VERB
ejpam-5743	284	29	[	[	X
ejpam-5743	284	30	p	p	X
ejpam-5743	284	31	,	,	PUNCT
ejpam-5743	284	32	p	p	X
ejpam-5743	284	33	]	]	X
ejpam-5743	284	34	=	=	PUNCT
ejpam-5743	284	35	(	(	PUNCT
ejpam-5743	284	36	2e1π23	2e1π23	NUM
ejpam-5743	284	37	−	−	NUM
ejpam-5743	284	38	2e2π13	2e2π13	NUM
ejpam-5743	284	39	+	+	CCONJ
ejpam-5743	284	40	2e3π12	2e3π12	NUM
ejpam-5743	284	41	+	+	CCONJ
ejpam-5743	284	42	(	(	PUNCT
ejpam-5743	284	43	2π12	2π12	NUM
ejpam-5743	284	44	−a	−a	NOUN
ejpam-5743	284	45	)	)	PUNCT
ejpam-5743	284	46	∂b	∂b	NOUN
ejpam-5743	284	47	∂x	∂x	NOUN
ejpam-5743	284	48	+	+	CCONJ
ejpam-5743	284	49	(	(	PUNCT
ejpam-5743	284	50	2π23	2π23	NUM
ejpam-5743	284	51	−	−	NOUN
ejpam-5743	284	52	c	c	NOUN
ejpam-5743	284	53	)	)	PUNCT
ejpam-5743	285	1	∂a	∂a	NOUN
ejpam-5743	285	2	∂y	∂y	PRON
ejpam-5743	286	1	+	+	NOUN
ejpam-5743	286	2	a	a	DET
ejpam-5743	286	3	(	(	PUNCT
ejpam-5743	286	4	2∂π13	2∂π13	ADJ
ejpam-5743	286	5	∂x	∂x	PROPN
ejpam-5743	286	6	−	−	PROPN
ejpam-5743	286	7	∂c	∂c	PROPN
ejpam-5743	287	1	∂y	∂y	PROPN
ejpam-5743	287	2	)	)	PUNCT
ejpam-5743	288	1	+	+	PROPN
ejpam-5743	288	2	b(2	b(2	PROPN
ejpam-5743	288	3	∂π12	∂π12	NOUN
ejpam-5743	288	4	∂x	∂x	PROPN
ejpam-5743	288	5	−	−	PROPN
ejpam-5743	288	6	∂c	∂c	PROPN
ejpam-5743	288	7	∂z	∂z	PROPN
ejpam-5743	288	8	)	)	PUNCT
ejpam-5743	289	1	+	+	CCONJ
ejpam-5743	289	2	c(2	c(2	PROPN
ejpam-5743	289	3	∂π12	∂π12	NOUN
ejpam-5743	289	4	∂y	∂y	PROPN
ejpam-5743	289	5	−	−	PROPN
ejpam-5743	289	6	∂b	∂b	PROPN
ejpam-5743	289	7	∂z	∂z	PROPN
ejpam-5743	289	8	)	)	PUNCT
ejpam-5743	290	1	+	+	NUM
ejpam-5743	290	2	2π13	2π13	X
ejpam-5743	290	3	∂a	∂a	ADP
ejpam-5743	290	4	∂x	∂x	PROPN
ejpam-5743	290	5	)	)	PUNCT
ejpam-5743	291	1	∂x	∂x	PROPN
ejpam-5743	291	2	∧	∧	PROPN
ejpam-5743	291	3	∂y	∂y	PROPN
ejpam-5743	291	4	∧	∧	PROPN
ejpam-5743	291	5	∂z	∂z	PROPN
ejpam-5743	291	6	.	.	PUNCT
ejpam-5743	292	1	we	we	PRON
ejpam-5743	292	2	deduce	deduce	VERB
ejpam-5743	292	3	the	the	DET
ejpam-5743	292	4	result	result	NOUN
ejpam-5743	292	5	(	(	PUNCT
ejpam-5743	292	6	7	7	NUM
ejpam-5743	292	7	)	)	PUNCT
ejpam-5743	292	8	.	.	PUNCT
ejpam-5743	293	1	example	example	NOUN
ejpam-5743	294	1	1	1	NUM
ejpam-5743	294	2	.	.	PUNCT
ejpam-5743	294	3	let	let	VERB
ejpam-5743	294	4	us	we	PRON
ejpam-5743	294	5	equip	equip	VERB
ejpam-5743	294	6	r3	r3	PROPN
ejpam-5743	294	7	with	with	ADP
ejpam-5743	294	8	the	the	DET
ejpam-5743	294	9	bivector	bivector	NOUN
ejpam-5743	294	10	field	field	NOUN
ejpam-5743	295	1	π	π	PROPN
ejpam-5743	295	2	defined	define	VERB
ejpam-5743	295	3	by	by	ADP
ejpam-5743	295	4	π	π	PROPN
ejpam-5743	295	5	=	=	SYM
ejpam-5743	295	6	(	(	PUNCT
ejpam-5743	295	7	2y	2y	PROPN
ejpam-5743	295	8	+	+	NUM
ejpam-5743	295	9	3y2)∂x	3y2)∂x	NUM
ejpam-5743	295	10	∧	∧	NOUN
ejpam-5743	295	11	∂y	∂y	SYM
ejpam-5743	295	12	+	+	CCONJ
ejpam-5743	295	13	(	(	PUNCT
ejpam-5743	295	14	2	2	NUM
ejpam-5743	295	15	+	+	SYM
ejpam-5743	295	16	3y)∂y	3y)∂y	NUM
ejpam-5743	295	17	∧	∧	NOUN
ejpam-5743	295	18	∂z	∂z	PROPN
ejpam-5743	295	19	and	and	CCONJ
ejpam-5743	295	20	the	the	DET
ejpam-5743	295	21	vector	vector	NOUN
ejpam-5743	295	22	field	field	NOUN
ejpam-5743	295	23	e	e	NOUN
ejpam-5743	295	24	defined	define	VERB
ejpam-5743	295	25	by	by	ADP
ejpam-5743	295	26	e	e	X
ejpam-5743	295	27	=	=	PUNCT
ejpam-5743	295	28	−2∂x	−2∂x	NOUN
ejpam-5743	295	29	−	−	PROPN
ejpam-5743	295	30	3∂z	3∂z	PROPN
ejpam-5743	295	31	.	.	PUNCT
ejpam-5743	296	1	a	a	DET
ejpam-5743	296	2	direct	direct	ADJ
ejpam-5743	296	3	calculation	calculation	NOUN
ejpam-5743	296	4	shows	show	VERB
ejpam-5743	296	5	that	that	SCONJ
ejpam-5743	297	1	[	[	X
ejpam-5743	297	2	π	π	X
ejpam-5743	297	3	,	,	PUNCT
ejpam-5743	297	4	π	π	X
ejpam-5743	297	5	]	]	X
ejpam-5743	297	6	=	=	SYM
ejpam-5743	297	7	2e	2e	NUM
ejpam-5743	297	8	∧	∧	PROPN
ejpam-5743	297	9	π	π	X
ejpam-5743	297	10	=	=	PUNCT
ejpam-5743	297	11	2(−9y2	2(−9y2	NUM
ejpam-5743	297	12	−	−	NUM
ejpam-5743	297	13	4−	4−	NOUN
ejpam-5743	297	14	12y)∂x	12y)∂x	NUM
ejpam-5743	297	15	∧	∧	PROPN
ejpam-5743	297	16	∂y	∂y	PROPN
ejpam-5743	297	17	∧	∧	PROPN
ejpam-5743	297	18	∂z	∂z	PROPN
ejpam-5743	297	19	and	and	CCONJ
ejpam-5743	297	20	[	[	X
ejpam-5743	297	21	e	e	X
ejpam-5743	297	22	,	,	PUNCT
ejpam-5743	297	23	π	π	X
ejpam-5743	297	24	]	]	X
ejpam-5743	297	25	=	=	SYM
ejpam-5743	297	26	0	0	X
ejpam-5743	297	27	.	.	PUNCT
ejpam-5743	298	1	by	by	ADP
ejpam-5743	298	2	choosing	choose	VERB
ejpam-5743	298	3	z1	z1	PROPN
ejpam-5743	298	4	=	=	SYM
ejpam-5743	298	5	f(x	f(x	PROPN
ejpam-5743	298	6	)	)	PUNCT
ejpam-5743	298	7	=	=	PUNCT
ejpam-5743	298	8	−x2	−x2	NOUN
ejpam-5743	298	9	−	−	NOUN
ejpam-5743	299	1	1	1	NUM
ejpam-5743	299	2	,	,	PUNCT
ejpam-5743	299	3	z2	z2	NOUN
ejpam-5743	299	4	=	=	SYM
ejpam-5743	299	5	g(z	g(z	PROPN
ejpam-5743	299	6	)	)	PUNCT
ejpam-5743	299	7	,	,	PUNCT
ejpam-5743	299	8	z3	z3	NOUN
ejpam-5743	299	9	=	=	SYM
ejpam-5743	299	10	h(y	h(y	X
ejpam-5743	299	11	)	)	PUNCT
ejpam-5743	299	12	=	=	VERB
ejpam-5743	300	1	y2	y2	NOUN
ejpam-5743	301	1	+	+	NOUN
ejpam-5743	301	2	1	1	NUM
ejpam-5743	301	3	,	,	PUNCT
ejpam-5743	301	4	in	in	ADP
ejpam-5743	301	5	this	this	DET
ejpam-5743	301	6	example	example	NOUN
ejpam-5743	301	7	,	,	PUNCT
ejpam-5743	301	8	we	we	PRON
ejpam-5743	301	9	have	have	VERB
ejpam-5743	301	10	a	a	DET
ejpam-5743	301	11	=	=	SYM
ejpam-5743	301	12	−2z2	−2z2	X
ejpam-5743	301	13	,	,	PUNCT
ejpam-5743	301	14	b	b	X
ejpam-5743	301	15	=	=	SYM
ejpam-5743	301	16	−2z3	−2z3	PROPN
ejpam-5743	301	17	+	+	SYM
ejpam-5743	301	18	3z1	3z1	NUM
ejpam-5743	301	19	,	,	PUNCT
ejpam-5743	301	20	c	c	NOUN
ejpam-5743	301	21	=	=	SYM
ejpam-5743	301	22	3z2	3z2	NUM
ejpam-5743	301	23	and	and	CCONJ
ejpam-5743	301	24	by	by	ADP
ejpam-5743	301	25	(	(	PUNCT
ejpam-5743	301	26	7	7	X
ejpam-5743	301	27	)	)	PUNCT
ejpam-5743	302	1	[	[	X
ejpam-5743	302	2	p	p	X
ejpam-5743	302	3	,	,	PUNCT
ejpam-5743	302	4	p	p	X
ejpam-5743	302	5	]	]	X
ejpam-5743	302	6	=	=	SYM
ejpam-5743	302	7	(	(	PUNCT
ejpam-5743	302	8	−	−	PROPN
ejpam-5743	302	9	8−	8−	NUM
ejpam-5743	302	10	24y	24y	NOUN
ejpam-5743	302	11	−	−	PROPN
ejpam-5743	302	12	18y2	18y2	NUM
ejpam-5743	302	13	+	+	CCONJ
ejpam-5743	302	14	(	(	PUNCT
ejpam-5743	302	15	−2h(y	−2h(y	ADJ
ejpam-5743	302	16	)	)	PUNCT
ejpam-5743	302	17	+	+	CCONJ
ejpam-5743	302	18	3f(x))(−∂g	3f(x))(−∂g	NUM
ejpam-5743	302	19	∂z	∂z	PROPN
ejpam-5743	302	20	)	)	PUNCT
ejpam-5743	303	1	+	+	CCONJ
ejpam-5743	303	2	(	(	PUNCT
ejpam-5743	303	3	4	4	NUM
ejpam-5743	303	4	+	+	NOUN
ejpam-5743	303	5	12y)(3g(z	12y)(3g(z	NUM
ejpam-5743	303	6	)	)	PUNCT
ejpam-5743	303	7	)	)	PUNCT
ejpam-5743	303	8	)	)	PUNCT
ejpam-5743	304	1	∂x	∂x	PROPN
ejpam-5743	304	2	∧	∧	NOUN
ejpam-5743	304	3	∂y	∂y	PROPN
ejpam-5743	304	4	∧	∧	PROPN
ejpam-5743	304	5	∂z	∂z	PROPN
ejpam-5743	304	6	.	.	PUNCT
ejpam-5743	305	1	[	[	X
ejpam-5743	305	2	p	p	X
ejpam-5743	305	3	,	,	PUNCT
ejpam-5743	305	4	p	p	X
ejpam-5743	305	5	]	]	X
ejpam-5743	305	6	=	=	SYM
ejpam-5743	305	7	0	0	NUM
ejpam-5743	305	8	⇐	⇐	ADJ
ejpam-5743	305	9	⇒	⇒	NOUN
ejpam-5743	305	10	(	(	PUNCT
ejpam-5743	305	11	2h(y)−	2h(y)−	NUM
ejpam-5743	305	12	3f(x	3f(x	NUM
ejpam-5743	305	13	)	)	PUNCT
ejpam-5743	305	14	)	)	PUNCT
ejpam-5743	306	1	g′(x	g′(x	X
ejpam-5743	306	2	)	)	PUNCT
ejpam-5743	307	1	+	+	CCONJ
ejpam-5743	307	2	(	(	PUNCT
ejpam-5743	307	3	12	12	NUM
ejpam-5743	307	4	+	+	NOUN
ejpam-5743	307	5	36y)g(z	36y)g(z	NUM
ejpam-5743	307	6	)	)	PUNCT
ejpam-5743	307	7	=	=	SYM
ejpam-5743	307	8	18y2	18y2	NUM
ejpam-5743	307	9	+	+	NUM
ejpam-5743	307	10	24y	24y	NOUN
ejpam-5743	307	11	+	+	CCONJ
ejpam-5743	307	12	8	8	NUM
ejpam-5743	307	13	⇐	⇐	ADJ
ejpam-5743	307	14	⇒	⇒	PROPN
ejpam-5743	307	15	αg′(z	αg′(z	PROPN
ejpam-5743	307	16	)	)	PUNCT
ejpam-5743	308	1	+	+	CCONJ
ejpam-5743	308	2	βg(z	βg(z	NUM
ejpam-5743	308	3	)	)	PUNCT
ejpam-5743	309	1	=	=	PUNCT
ejpam-5743	309	2	γ	γ	NOUN
ejpam-5743	309	3	we	we	PRON
ejpam-5743	309	4	get	get	VERB
ejpam-5743	309	5	g(z	g(z	ADJ
ejpam-5743	309	6	)	)	PUNCT
ejpam-5743	310	1	=	=	PUNCT
ejpam-5743	310	2	ke−	ke−	X
ejpam-5743	310	3	β	β	X
ejpam-5743	310	4	α	α	NOUN
ejpam-5743	310	5	z	z	PROPN
ejpam-5743	311	1	+	+	NUM
ejpam-5743	311	2	αγ	αγ	PROPN
ejpam-5743	311	3	β	β	NOUN
ejpam-5743	311	4	,	,	PUNCT
ejpam-5743	311	5	∀k	∀k	X
ejpam-5743	311	6	∈	∈	PROPN
ejpam-5743	311	7	r	r	NOUN
ejpam-5743	311	8	,	,	PUNCT
ejpam-5743	311	9	where	where	SCONJ
ejpam-5743	311	10	α	α	NOUN
ejpam-5743	311	11	=	=	PUNCT
ejpam-5743	311	12	2y2	2y2	NUM
ejpam-5743	311	13	+	+	CCONJ
ejpam-5743	311	14	3x2	3x2	NUM
ejpam-5743	311	15	+	+	SYM
ejpam-5743	311	16	5	5	NUM
ejpam-5743	311	17	,	,	PUNCT
ejpam-5743	311	18	β	β	X
ejpam-5743	311	19	=	=	NOUN
ejpam-5743	311	20	12	12	NUM
ejpam-5743	311	21	+	+	NUM
ejpam-5743	311	22	36y	36y	NOUN
ejpam-5743	311	23	,	,	PUNCT
ejpam-5743	311	24	γ	γ	X
ejpam-5743	311	25	=	=	SYM
ejpam-5743	311	26	18y2	18y2	NUM
ejpam-5743	311	27	+	+	NUM
ejpam-5743	311	28	24y	24y	NOUN
ejpam-5743	311	29	+	+	CCONJ
ejpam-5743	311	30	8	8	NUM
ejpam-5743	311	31	with	with	ADP
ejpam-5743	311	32	y	y	PROPN
ejpam-5743	311	33	̸=	̸=	PROPN
ejpam-5743	311	34	−1	−1	NOUN
ejpam-5743	311	35	3	3	NUM
ejpam-5743	311	36	.	.	PUNCT
ejpam-5743	312	1	thus	thus	ADV
ejpam-5743	312	2	we	we	PRON
ejpam-5743	312	3	obtain	obtain	VERB
ejpam-5743	312	4	z	z	NOUN
ejpam-5743	312	5	=	=	SYM
ejpam-5743	312	6	−(x2	−(x2	NOUN
ejpam-5743	312	7	+	+	NOUN
ejpam-5743	312	8	1)∂x	1)∂x	NUM
ejpam-5743	312	9	+	+	CCONJ
ejpam-5743	312	10	z2∂y	z2∂y	NOUN
ejpam-5743	312	11	+	+	CCONJ
ejpam-5743	312	12	(	(	PUNCT
ejpam-5743	312	13	y2	y2	INTJ
ejpam-5743	312	14	+	+	CCONJ
ejpam-5743	312	15	1)∂z	1)∂z	NUM
ejpam-5743	312	16	with	with	ADP
ejpam-5743	312	17	z2	z2	PROPN
ejpam-5743	312	18	=	=	SYM
ejpam-5743	312	19	k	k	PROPN
ejpam-5743	312	20	exp	exp	NOUN
ejpam-5743	312	21	(	(	PUNCT
ejpam-5743	312	22	−12−	−12−	X
ejpam-5743	312	23	36y	36y	NOUN
ejpam-5743	312	24	)	)	PUNCT
ejpam-5743	312	25	3x2	3x2	NUM
ejpam-5743	313	1	+	+	CCONJ
ejpam-5743	313	2	2y2	2y2	NUM
ejpam-5743	313	3	+	+	CCONJ
ejpam-5743	313	4	5	5	NUM
ejpam-5743	313	5	z	z	NOUN
ejpam-5743	313	6	)	)	PUNCT
ejpam-5743	314	1	+	+	CCONJ
ejpam-5743	314	2	(	(	PUNCT
ejpam-5743	314	3	9x2	9x2	NUM
ejpam-5743	314	4	+	+	CCONJ
ejpam-5743	314	5	6y2	6y2	NUM
ejpam-5743	314	6	+	+	CCONJ
ejpam-5743	314	7	15)(y	15)(y	NOUN
ejpam-5743	314	8	+	+	CCONJ
ejpam-5743	314	9	2	2	NUM
ejpam-5743	314	10	3	3	NUM
ejpam-5743	314	11	)	)	PUNCT
ejpam-5743	314	12	2	2	NUM
ejpam-5743	314	13	6y	6y	NOUN
ejpam-5743	314	14	+	+	CCONJ
ejpam-5743	314	15	2	2	NUM
ejpam-5743	314	16	,	,	PUNCT
ejpam-5743	314	17	∀k	∀k	NOUN
ejpam-5743	314	18	∈	∈	PROPN
ejpam-5743	314	19	r.	r.	PROPN
ejpam-5743	314	20	corollary	corollary	NOUN
ejpam-5743	314	21	1	1	NUM
ejpam-5743	314	22	.	.	PUNCT
ejpam-5743	315	1	let	let	VERB
ejpam-5743	315	2	us	we	PRON
ejpam-5743	315	3	assume	assume	VERB
ejpam-5743	315	4	that	that	SCONJ
ejpam-5743	315	5	e	e	NOUN
ejpam-5743	315	6	=	=	PUNCT
ejpam-5743	315	7	f∂z	f∂z	NUM
ejpam-5743	315	8	where	where	SCONJ
ejpam-5743	315	9	f	f	PROPN
ejpam-5743	315	10	̸≡	̸≡	VERB
ejpam-5743	315	11	0	0	X
ejpam-5743	315	12	.	.	PUNCT
ejpam-5743	316	1	let	let	VERB
ejpam-5743	316	2	(	(	PUNCT
ejpam-5743	316	3	π	π	X
ejpam-5743	316	4	,	,	PUNCT
ejpam-5743	316	5	e	e	NOUN
ejpam-5743	316	6	)	)	PUNCT
ejpam-5743	316	7	a	a	DET
ejpam-5743	316	8	jacobi	jacobi	PROPN
ejpam-5743	316	9	structure	structure	NOUN
ejpam-5743	316	10	on	on	ADP
ejpam-5743	316	11	m	m	PRON
ejpam-5743	316	12	.	.	PUNCT
ejpam-5743	317	1	p	p	X
ejpam-5743	317	2	=	=	PUNCT
ejpam-5743	317	3	π	π	PROPN
ejpam-5743	317	4	+	+	CCONJ
ejpam-5743	317	5	e	e	PROPN
ejpam-5743	317	6	∧	∧	PROPN
ejpam-5743	317	7	z	z	PROPN
ejpam-5743	317	8	,	,	PUNCT
ejpam-5743	317	9	(	(	PUNCT
ejpam-5743	317	10	z	z	NOUN
ejpam-5743	317	11	=	=	SYM
ejpam-5743	317	12	∂x	∂x	PROPN
ejpam-5743	317	13	+	+	CCONJ
ejpam-5743	317	14	∂y	∂y	PROPN
ejpam-5743	317	15	+	+	NUM
ejpam-5743	317	16	∂z	∂z	PROPN
ejpam-5743	317	17	)	)	PUNCT
ejpam-5743	317	18	is	be	AUX
ejpam-5743	317	19	a	a	DET
ejpam-5743	317	20	poisson	poisson	NOUN
ejpam-5743	317	21	structure	structure	NOUN
ejpam-5743	317	22	on	on	ADP
ejpam-5743	317	23	m	m	PROPN
ejpam-5743	317	24	if	if	SCONJ
ejpam-5743	317	25	and	and	CCONJ
ejpam-5743	317	26	ally	ally	NOUN
ejpam-5743	317	27	if	if	SCONJ
ejpam-5743	317	28	∂π12	∂π12	NOUN
ejpam-5743	317	29	∂z	∂z	PROPN
ejpam-5743	317	30	=	=	SYM
ejpam-5743	317	31	0	0	PROPN
ejpam-5743	317	32	,	,	PUNCT
ejpam-5743	317	33	(	(	PUNCT
ejpam-5743	317	34	11	11	NUM
ejpam-5743	317	35	)	)	PUNCT
ejpam-5743	317	36	π12	π12	NOUN
ejpam-5743	318	1	∂f	∂f	PROPN
ejpam-5743	318	2	∂y	∂y	PROPN
ejpam-5743	318	3	+	+	NUM
ejpam-5743	318	4	π13	π13	NOUN
ejpam-5743	318	5	∂f	∂f	PROPN
ejpam-5743	318	6	∂z	∂z	PROPN
ejpam-5743	319	1	+	+	CCONJ
ejpam-5743	319	2	f	f	PROPN
ejpam-5743	319	3	∂π13	∂π13	NOUN
ejpam-5743	319	4	∂z	∂z	PROPN
ejpam-5743	320	1	=	=	SYM
ejpam-5743	320	2	0	0	PROPN
ejpam-5743	320	3	,	,	PUNCT
ejpam-5743	320	4	(	(	PUNCT
ejpam-5743	320	5	12	12	NUM
ejpam-5743	320	6	)	)	PUNCT
ejpam-5743	320	7	π12	π12	NOUN
ejpam-5743	320	8	∂f	∂f	PROPN
ejpam-5743	320	9	∂x	∂x	PROPN
ejpam-5743	320	10	+	+	CCONJ
ejpam-5743	320	11	π23	π23	VERB
ejpam-5743	320	12	∂f	∂f	PROPN
ejpam-5743	320	13	∂z	∂z	PROPN
ejpam-5743	320	14	+	+	CCONJ
ejpam-5743	320	15	f	f	PROPN
ejpam-5743	320	16	∂π23	∂π23	NOUN
ejpam-5743	320	17	∂z	∂z	PROPN
ejpam-5743	320	18	=	=	SYM
ejpam-5743	320	19	0	0	PROPN
ejpam-5743	320	20	,	,	PUNCT
ejpam-5743	320	21	(	(	PUNCT
ejpam-5743	320	22	13	13	NUM
ejpam-5743	320	23	)	)	PUNCT
ejpam-5743	320	24	2f	2f	NOUN
ejpam-5743	320	25	(	(	PUNCT
ejpam-5743	320	26	∂π12	∂π12	NOUN
ejpam-5743	320	27	∂x	∂x	PROPN
ejpam-5743	320	28	+	+	CCONJ
ejpam-5743	320	29	∂π12	∂π12	NOUN
ejpam-5743	320	30	∂y	∂y	NOUN
ejpam-5743	320	31	+	+	CCONJ
ejpam-5743	321	1	1	1	NUM
ejpam-5743	321	2	2	2	NUM
ejpam-5743	321	3	∂π13	∂π13	NOUN
ejpam-5743	321	4	∂y	∂y	NOUN
ejpam-5743	321	5	+	+	CCONJ
ejpam-5743	321	6	1	1	NUM
ejpam-5743	321	7	2	2	NUM
ejpam-5743	321	8	∂π13	∂π13	NOUN
ejpam-5743	321	9	∂z	∂z	PROPN
ejpam-5743	321	10	)	)	PUNCT
ejpam-5743	322	1	=	=	X
ejpam-5743	322	2	π13	π13	NOUN
ejpam-5743	322	3	(	(	PUNCT
ejpam-5743	322	4	∂f	∂f	PROPN
ejpam-5743	322	5	∂y	∂y	SYM
ejpam-5743	322	6	−	−	PROPN
ejpam-5743	322	7	∂f	∂f	PROPN
ejpam-5743	322	8	∂z	∂z	PROPN
ejpam-5743	322	9	)	)	PUNCT
ejpam-5743	323	1	+	+	NUM
ejpam-5743	323	2	2π12	2π12	NUM
ejpam-5743	323	3	(	(	PUNCT
ejpam-5743	323	4	f	f	PROPN
ejpam-5743	323	5	+	+	CCONJ
ejpam-5743	323	6	∂f	∂f	PROPN
ejpam-5743	323	7	∂x	∂x	PROPN
ejpam-5743	323	8	)	)	PUNCT
ejpam-5743	323	9	.	.	PUNCT
ejpam-5743	324	1	(	(	PUNCT
ejpam-5743	324	2	14	14	NUM
ejpam-5743	324	3	)	)	PUNCT
ejpam-5743	324	4	m.	m.	NOUN
ejpam-5743	324	5	s.	s.	PROPN
ejpam-5743	324	6	ali	ali	PROPN
ejpam-5743	324	7	et	et	PROPN
ejpam-5743	324	8	al	al	PROPN
ejpam-5743	324	9	.	.	PUNCT
ejpam-5743	324	10	/	/	SYM
ejpam-5743	324	11	eur	eur	PROPN
ejpam-5743	324	12	.	.	PUNCT
ejpam-5743	325	1	j.	j.	PROPN
ejpam-5743	325	2	pure	pure	PROPN
ejpam-5743	325	3	appl	appl	PROPN
ejpam-5743	325	4	.	.	PROPN
ejpam-5743	325	5	math	math	PROPN
ejpam-5743	325	6	,	,	PUNCT
ejpam-5743	325	7	18	18	NUM
ejpam-5743	325	8	(	(	PUNCT
ejpam-5743	325	9	3	3	NUM
ejpam-5743	325	10	)	)	PUNCT
ejpam-5743	325	11	(	(	PUNCT
ejpam-5743	325	12	2025	2025	NUM
ejpam-5743	325	13	)	)	PUNCT
ejpam-5743	325	14	,	,	PUNCT
ejpam-5743	325	15	5743	5743	NUM
ejpam-5743	325	16	13	13	NUM
ejpam-5743	325	17	of	of	ADP
ejpam-5743	325	18	14	14	NUM
ejpam-5743	325	19	proof	proof	NOUN
ejpam-5743	325	20	.	.	PUNCT
ejpam-5743	326	1	since	since	SCONJ
ejpam-5743	326	2	e	e	PROPN
ejpam-5743	326	3	∧	∧	PROPN
ejpam-5743	326	4	z	z	NOUN
ejpam-5743	326	5	=	=	SYM
ejpam-5743	326	6	−f∂x	−f∂x	ADJ
ejpam-5743	326	7	∧	∧	NOUN
ejpam-5743	326	8	∂z	∂z	PROPN
ejpam-5743	327	1	−	−	PROPN
ejpam-5743	327	2	f∂y	f∂y	VERB
ejpam-5743	327	3	∧	∧	PROPN
ejpam-5743	327	4	∂z	∂z	PROPN
ejpam-5743	327	5	,	,	PUNCT
ejpam-5743	327	6	one	one	PRON
ejpam-5743	327	7	has	have	VERB
ejpam-5743	327	8	:	:	PUNCT
ejpam-5743	327	9	[	[	X
ejpam-5743	327	10	p	p	X
ejpam-5743	327	11	,	,	PUNCT
ejpam-5743	327	12	p	p	X
ejpam-5743	327	13	]	]	X
ejpam-5743	327	14	=	=	PUNCT
ejpam-5743	328	1	[	[	X
ejpam-5743	328	2	π	π	X
ejpam-5743	328	3	+	+	CCONJ
ejpam-5743	328	4	e	e	PROPN
ejpam-5743	328	5	∧	∧	PROPN
ejpam-5743	328	6	z	z	PROPN
ejpam-5743	328	7	,	,	PUNCT
ejpam-5743	328	8	π	π	PROPN
ejpam-5743	328	9	+	+	CCONJ
ejpam-5743	328	10	e	e	PROPN
ejpam-5743	328	11	∧	∧	PROPN
ejpam-5743	328	12	z	z	PROPN
ejpam-5743	328	13	]	]	X
ejpam-5743	328	14	=	=	PUNCT
ejpam-5743	329	1	[	[	X
ejpam-5743	329	2	π	π	X
ejpam-5743	329	3	,	,	PUNCT
ejpam-5743	329	4	π	π	X
ejpam-5743	329	5	]	]	X
ejpam-5743	330	1	+	+	CCONJ
ejpam-5743	330	2	[	[	X
ejpam-5743	330	3	π	π	X
ejpam-5743	330	4	,	,	PUNCT
ejpam-5743	330	5	e	e	PROPN
ejpam-5743	330	6	∧	∧	PROPN
ejpam-5743	330	7	z	z	X
ejpam-5743	330	8	]	]	X
ejpam-5743	330	9	+	+	CCONJ
ejpam-5743	331	1	[	[	X
ejpam-5743	331	2	e	e	X
ejpam-5743	331	3	∧	∧	PROPN
ejpam-5743	331	4	z	z	PROPN
ejpam-5743	331	5	,	,	PUNCT
ejpam-5743	331	6	π	π	X
ejpam-5743	331	7	]	]	X
ejpam-5743	332	1	+	+	CCONJ
ejpam-5743	333	1	[	[	X
ejpam-5743	333	2	e	e	X
ejpam-5743	333	3	∧	∧	PROPN
ejpam-5743	333	4	z	z	PROPN
ejpam-5743	333	5	,	,	PUNCT
ejpam-5743	333	6	e	e	PROPN
ejpam-5743	333	7	∧	∧	PROPN
ejpam-5743	333	8	z	z	PROPN
ejpam-5743	333	9	]	]	X
ejpam-5743	333	10	=	=	SYM
ejpam-5743	333	11	2e	2e	NUM
ejpam-5743	333	12	∧	∧	PROPN
ejpam-5743	333	13	π	π	PROPN
ejpam-5743	333	14	+	+	CCONJ
ejpam-5743	333	15	π13	π13	NOUN
ejpam-5743	333	16	(	(	PUNCT
ejpam-5743	333	17	∂f	∂f	PROPN
ejpam-5743	333	18	∂y	∂y	SYM
ejpam-5743	334	1	−	−	PROPN
ejpam-5743	334	2	∂f	∂f	PROPN
ejpam-5743	334	3	∂z	∂z	PROPN
ejpam-5743	334	4	)	)	PUNCT
ejpam-5743	335	1	∂x	∂x	PROPN
ejpam-5743	335	2	∧	∧	NOUN
ejpam-5743	335	3	∂y	∂y	PROPN
ejpam-5743	335	4	∧	∧	NOUN
ejpam-5743	335	5	∂z	∂z	PROPN
ejpam-5743	335	6	+	+	CCONJ
ejpam-5743	335	7	2π12	2π12	NUM
ejpam-5743	335	8	∂f	∂f	PROPN
ejpam-5743	335	9	∂x	∂x	PROPN
ejpam-5743	335	10	∂x	∂x	PROPN
ejpam-5743	335	11	∧	∧	PROPN
ejpam-5743	335	12	∂y	∂y	PROPN
ejpam-5743	335	13	∧	∧	PROPN
ejpam-5743	335	14	∂z	∂z	PROPN
ejpam-5743	335	15	−f	−f	PROPN
ejpam-5743	335	16	(	(	PUNCT
ejpam-5743	335	17	2	2	NUM
ejpam-5743	335	18	∂π12	∂π12	NOUN
ejpam-5743	335	19	∂x	∂x	NOUN
ejpam-5743	335	20	+	+	CCONJ
ejpam-5743	335	21	2	2	NUM
ejpam-5743	335	22	∂π12	∂π12	NOUN
ejpam-5743	335	23	∂y	∂y	NOUN
ejpam-5743	335	24	+	+	CCONJ
ejpam-5743	335	25	∂π13	∂π13	ADJ
ejpam-5743	335	26	∂y	∂y	NOUN
ejpam-5743	335	27	+	+	CCONJ
ejpam-5743	335	28	∂π13	∂π13	NOUN
ejpam-5743	335	29	∂z	∂z	PROPN
ejpam-5743	335	30	)	)	PUNCT
ejpam-5743	336	1	∂x	∂x	PROPN
ejpam-5743	336	2	∧	∧	NOUN
ejpam-5743	336	3	∂y	∂y	PROPN
ejpam-5743	336	4	∧	∧	NOUN
ejpam-5743	336	5	∂z	∂z	PROPN
ejpam-5743	336	6	=	=	SYM
ejpam-5743	336	7	−2f	−2f	PROPN
ejpam-5743	336	8	(	(	PUNCT
ejpam-5743	336	9	∂π12	∂π12	NOUN
ejpam-5743	336	10	∂x	∂x	PROPN
ejpam-5743	336	11	+	+	CCONJ
ejpam-5743	336	12	∂π12	∂π12	NOUN
ejpam-5743	336	13	∂y	∂y	NOUN
ejpam-5743	337	1	+	+	CCONJ
ejpam-5743	337	2	1	1	NUM
ejpam-5743	337	3	2	2	NUM
ejpam-5743	337	4	∂π13	∂π13	NOUN
ejpam-5743	337	5	∂y	∂y	NOUN
ejpam-5743	337	6	+	+	CCONJ
ejpam-5743	337	7	1	1	NUM
ejpam-5743	337	8	2	2	NUM
ejpam-5743	337	9	∂π13	∂π13	NOUN
ejpam-5743	337	10	∂z	∂z	PROPN
ejpam-5743	337	11	)	)	PUNCT
ejpam-5743	338	1	∂x	∂x	PROPN
ejpam-5743	338	2	∧	∧	PROPN
ejpam-5743	338	3	∂y	∂y	PROPN
ejpam-5743	338	4	∧	∧	PROPN
ejpam-5743	338	5	∂z	∂z	PROPN
ejpam-5743	338	6	π13	π13	NOUN
ejpam-5743	338	7	(	(	PUNCT
ejpam-5743	338	8	∂f	∂f	PROPN
ejpam-5743	338	9	∂y	∂y	SYM
ejpam-5743	339	1	−	−	PROPN
ejpam-5743	339	2	∂f	∂f	PROPN
ejpam-5743	339	3	∂z	∂z	PROPN
ejpam-5743	339	4	)	)	PUNCT
ejpam-5743	340	1	∂x	∂x	PROPN
ejpam-5743	340	2	∧	∧	NOUN
ejpam-5743	340	3	∂y	∂y	PROPN
ejpam-5743	340	4	∧	∧	NOUN
ejpam-5743	340	5	∂z	∂z	PROPN
ejpam-5743	340	6	+	+	CCONJ
ejpam-5743	340	7	2π12	2π12	NUM
ejpam-5743	340	8	(	(	PUNCT
ejpam-5743	340	9	f	f	PROPN
ejpam-5743	340	10	+	+	CCONJ
ejpam-5743	340	11	∂f	∂f	PROPN
ejpam-5743	340	12	∂x	∂x	PROPN
ejpam-5743	340	13	)	)	PUNCT
ejpam-5743	341	1	∂x	∂x	PROPN
ejpam-5743	341	2	∧	∧	PROPN
ejpam-5743	341	3	∂y	∂y	PROPN
ejpam-5743	341	4	∧	∧	PROPN
ejpam-5743	341	5	∂z	∂z	PROPN
ejpam-5743	341	6	.	.	PUNCT
ejpam-5743	342	1	so	so	ADV
ejpam-5743	343	1	[	[	X
ejpam-5743	343	2	p	p	X
ejpam-5743	343	3	,	,	PUNCT
ejpam-5743	343	4	p	p	X
ejpam-5743	343	5	]	]	X
ejpam-5743	343	6	=	=	SYM
ejpam-5743	343	7	0	0	PUNCT
ejpam-5743	344	1	if	if	SCONJ
ejpam-5743	344	2	and	and	CCONJ
ejpam-5743	344	3	only	only	ADV
ejpam-5743	344	4	if	if	SCONJ
ejpam-5743	344	5	2f	2f	NUM
ejpam-5743	344	6	(	(	PUNCT
ejpam-5743	344	7	∂π12	∂π12	NOUN
ejpam-5743	344	8	∂x	∂x	PROPN
ejpam-5743	344	9	+	+	CCONJ
ejpam-5743	344	10	∂π12	∂π12	NOUN
ejpam-5743	344	11	∂y	∂y	NOUN
ejpam-5743	344	12	+	+	CCONJ
ejpam-5743	344	13	1	1	NUM
ejpam-5743	344	14	2	2	NUM
ejpam-5743	344	15	∂π13	∂π13	NOUN
ejpam-5743	344	16	∂y	∂y	NOUN
ejpam-5743	344	17	+	+	CCONJ
ejpam-5743	344	18	1	1	NUM
ejpam-5743	344	19	2	2	NUM
ejpam-5743	344	20	∂π13	∂π13	NOUN
ejpam-5743	344	21	∂z	∂z	PROPN
ejpam-5743	344	22	)	)	PUNCT
ejpam-5743	344	23	=	=	X
ejpam-5743	344	24	π13	π13	NOUN
ejpam-5743	344	25	(	(	PUNCT
ejpam-5743	344	26	∂f	∂f	PROPN
ejpam-5743	344	27	∂y	∂y	SYM
ejpam-5743	344	28	−	−	PROPN
ejpam-5743	344	29	∂f	∂f	PROPN
ejpam-5743	344	30	∂z	∂z	PROPN
ejpam-5743	344	31	)	)	PUNCT
ejpam-5743	345	1	+	+	NUM
ejpam-5743	345	2	2π12	2π12	NUM
ejpam-5743	345	3	(	(	PUNCT
ejpam-5743	345	4	f	f	PROPN
ejpam-5743	345	5	+	+	CCONJ
ejpam-5743	345	6	∂f	∂f	PROPN
ejpam-5743	345	7	∂x	∂x	PROPN
ejpam-5743	345	8	)	)	PUNCT
ejpam-5743	345	9	which	which	PRON
ejpam-5743	345	10	give	give	VERB
ejpam-5743	345	11	(	(	PUNCT
ejpam-5743	345	12	14	14	NUM
ejpam-5743	345	13	)	)	PUNCT
ejpam-5743	345	14	.	.	PUNCT
ejpam-5743	346	1	[	[	X
ejpam-5743	346	2	e	e	X
ejpam-5743	346	3	,	,	PUNCT
ejpam-5743	346	4	π	π	X
ejpam-5743	346	5	]	]	X
ejpam-5743	346	6	=	=	SYM
ejpam-5743	346	7	f	f	PROPN
ejpam-5743	346	8	∂π12	∂π12	NOUN
ejpam-5743	346	9	∂z	∂z	PROPN
ejpam-5743	346	10	∂x	∂x	PROPN
ejpam-5743	346	11	∧	∧	PROPN
ejpam-5743	346	12	∂y	∂y	PROPN
ejpam-5743	347	1	+	+	CCONJ
ejpam-5743	347	2	(	(	PUNCT
ejpam-5743	347	3	π12	π12	NOUN
ejpam-5743	347	4	∂f	∂f	PROPN
ejpam-5743	347	5	∂x	∂x	PROPN
ejpam-5743	348	1	+	+	CCONJ
ejpam-5743	348	2	f	f	PROPN
ejpam-5743	348	3	∂π23	∂π23	NOUN
ejpam-5743	348	4	∂z	∂z	PROPN
ejpam-5743	348	5	+	+	CCONJ
ejpam-5743	348	6	π23	π23	VERB
ejpam-5743	348	7	∂f	∂f	PROPN
ejpam-5743	348	8	∂z	∂z	PROPN
ejpam-5743	348	9	)	)	PUNCT
ejpam-5743	348	10	)	)	PUNCT
ejpam-5743	349	1	∂y	∂y	PROPN
ejpam-5743	349	2	∧	∧	NOUN
ejpam-5743	349	3	∂z	∂z	PROPN
ejpam-5743	350	1	+	+	CCONJ
ejpam-5743	350	2	(	(	PUNCT
ejpam-5743	350	3	π12	π12	NOUN
ejpam-5743	350	4	∂f	∂f	PROPN
ejpam-5743	350	5	∂y	∂y	PROPN
ejpam-5743	350	6	+	+	CCONJ
ejpam-5743	350	7	f	f	PROPN
ejpam-5743	350	8	∂π13	∂π13	PROPN
ejpam-5743	350	9	∂z	∂z	PROPN
ejpam-5743	350	10	+	+	CCONJ
ejpam-5743	350	11	π13	π13	NOUN
ejpam-5743	350	12	∂f	∂f	PROPN
ejpam-5743	350	13	∂z	∂z	PROPN
ejpam-5743	350	14	)	)	PUNCT
ejpam-5743	351	1	∂x	∂x	PROPN
ejpam-5743	351	2	∧	∧	NOUN
ejpam-5743	351	3	∂z	∂z	PROPN
ejpam-5743	351	4	=	=	NOUN
ejpam-5743	351	5	0	0	PROPN
ejpam-5743	351	6	.	.	PUNCT
ejpam-5743	352	1	since	since	SCONJ
ejpam-5743	352	2	f	f	PROPN
ejpam-5743	352	3	̸=	̸=	PROPN
ejpam-5743	352	4	0	0	NUM
ejpam-5743	352	5	,	,	PUNCT
ejpam-5743	352	6	one	one	PRON
ejpam-5743	352	7	has	have	VERB
ejpam-5743	352	8			PRON
ejpam-5743	352	9	∂π12	∂π12	VERB
ejpam-5743	353	1	∂z	∂z	PROPN
ejpam-5743	353	2	=	=	SYM
ejpam-5743	353	3	0	0	NUM
ejpam-5743	353	4	π12	π12	NOUN
ejpam-5743	353	5	∂f	∂f	PROPN
ejpam-5743	353	6	∂x	∂x	PROPN
ejpam-5743	353	7	+	+	CCONJ
ejpam-5743	353	8	f	f	PROPN
ejpam-5743	353	9	∂π23	∂π23	NOUN
ejpam-5743	353	10	∂z	∂z	PROPN
ejpam-5743	353	11	+	+	CCONJ
ejpam-5743	353	12	π23	π23	VERB
ejpam-5743	353	13	∂f	∂f	PROPN
ejpam-5743	353	14	∂z	∂z	PROPN
ejpam-5743	353	15	=	=	SYM
ejpam-5743	353	16	0	0	NUM
ejpam-5743	353	17	π12	π12	NOUN
ejpam-5743	354	1	∂f	∂f	PROPN
ejpam-5743	354	2	∂y	∂y	PROPN
ejpam-5743	354	3	+	+	CCONJ
ejpam-5743	354	4	f	f	PROPN
ejpam-5743	354	5	∂π13	∂π13	PROPN
ejpam-5743	354	6	∂z	∂z	PROPN
ejpam-5743	354	7	+	+	CCONJ
ejpam-5743	354	8	π13	π13	NOUN
ejpam-5743	354	9	∂f	∂f	PROPN
ejpam-5743	354	10	∂z	∂z	PROPN
ejpam-5743	354	11	=	=	NOUN
ejpam-5743	354	12	0	0	PROPN
ejpam-5743	354	13	.	.	PUNCT
ejpam-5743	355	1	thus	thus	ADV
ejpam-5743	355	2	we	we	PRON
ejpam-5743	355	3	obtain	obtain	VERB
ejpam-5743	355	4	(	(	PUNCT
ejpam-5743	355	5	11),(12	11),(12	NUM
ejpam-5743	355	6	)	)	PUNCT
ejpam-5743	355	7	and	and	CCONJ
ejpam-5743	355	8	(	(	PUNCT
ejpam-5743	355	9	13	13	NUM
ejpam-5743	355	10	)	)	PUNCT
ejpam-5743	355	11	.	.	PUNCT
ejpam-5743	356	1	example	example	NOUN
ejpam-5743	357	1	2	2	NUM
ejpam-5743	357	2	.	.	PUNCT
ejpam-5743	357	3	let	let	VERB
ejpam-5743	357	4	π	π	PROPN
ejpam-5743	357	5	=	=	SYM
ejpam-5743	357	6	(	(	PUNCT
ejpam-5743	357	7	x4	x4	PROPN
ejpam-5743	357	8	+	+	NUM
ejpam-5743	358	1	y4)∂x	y4)∂x	NOUN
ejpam-5743	358	2	∧	∧	PROPN
ejpam-5743	358	3	∂y	∂y	PROPN
ejpam-5743	358	4	−	−	PROPN
ejpam-5743	358	5	x∂x	x∂x	PUNCT
ejpam-5743	359	1	∧	∧	NOUN
ejpam-5743	359	2	∂z	∂z	PROPN
ejpam-5743	359	3	+	+	CCONJ
ejpam-5743	359	4	y∂y	y∂y	X
ejpam-5743	359	5	∧	∧	PROPN
ejpam-5743	359	6	∂z	∂z	PROPN
ejpam-5743	359	7	and	and	CCONJ
ejpam-5743	359	8	e	e	NOUN
ejpam-5743	359	9	=	=	PUNCT
ejpam-5743	359	10	f∂z	f∂z	VERB
ejpam-5743	359	11	with	with	ADP
ejpam-5743	359	12	f	f	PROPN
ejpam-5743	359	13	is	be	AUX
ejpam-5743	359	14	smooth	smooth	ADJ
ejpam-5743	359	15	function	function	NOUN
ejpam-5743	359	16	.	.	PUNCT
ejpam-5743	360	1	then	then	ADV
ejpam-5743	360	2	a	a	DET
ejpam-5743	360	3	straightforward	straightforward	ADJ
ejpam-5743	360	4	calculation	calculation	NOUN
ejpam-5743	360	5	yields	yields	PUNCT
ejpam-5743	360	6	(	(	PUNCT
ejpam-5743	360	7	x4	x4	PROPN
ejpam-5743	360	8	+	+	PUNCT
ejpam-5743	360	9	y4)∂f∂x	y4)∂f∂x	PROPN
ejpam-5743	361	1	+	+	CCONJ
ejpam-5743	361	2	y	y	PROPN
ejpam-5743	361	3	∂f	∂f	PROPN
ejpam-5743	361	4	∂z	∂z	PROPN
ejpam-5743	361	5	=	=	SYM
ejpam-5743	361	6	0	0	PROPN
ejpam-5743	361	7	,	,	PUNCT
ejpam-5743	361	8	(	(	PUNCT
ejpam-5743	361	9	x4	x4	PROPN
ejpam-5743	361	10	+	+	PUNCT
ejpam-5743	361	11	y4)∂f∂y	y4)∂f∂y	X
ejpam-5743	361	12	−	−	NOUN
ejpam-5743	361	13	x∂f	x∂f	X
ejpam-5743	361	14	∂z	∂z	PROPN
ejpam-5743	362	1	=	=	SYM
ejpam-5743	362	2	0	0	PROPN
ejpam-5743	362	3	,	,	PUNCT
ejpam-5743	362	4	2f(x4	2f(x4	NUM
ejpam-5743	363	1	+	+	CCONJ
ejpam-5743	363	2	y4	y4	ADJ
ejpam-5743	363	3	+	+	CCONJ
ejpam-5743	363	4	4x3	4x3	NUM
ejpam-5743	363	5	+	+	SYM
ejpam-5743	363	6	4y3	4y3	NUM
ejpam-5743	363	7	)	)	PUNCT
ejpam-5743	364	1	+	+	CCONJ
ejpam-5743	365	1	2(x4	2(x4	NUM
ejpam-5743	365	2	+	+	NUM
ejpam-5743	365	3	y4)∂f∂x	y4)∂f∂x	NUM
ejpam-5743	365	4	−	−	NOUN
ejpam-5743	365	5	x∂f	x∂f	PROPN
ejpam-5743	365	6	∂y	∂y	PROPN
ejpam-5743	366	1	+	+	CCONJ
ejpam-5743	366	2	x∂f	x∂f	X
ejpam-5743	366	3	∂z	∂z	PROPN
ejpam-5743	367	1	=	=	NOUN
ejpam-5743	367	2	0	0	X
ejpam-5743	367	3	.	.	PUNCT
ejpam-5743	368	1	on	on	SCONJ
ejpam-5743	368	2	can	can	AUX
ejpam-5743	368	3	obtain	obtain	VERB
ejpam-5743	368	4	f(x	f(x	PROPN
ejpam-5743	368	5	,	,	PUNCT
ejpam-5743	368	6	y	y	PROPN
ejpam-5743	368	7	,	,	PUNCT
ejpam-5743	368	8	z	z	NOUN
ejpam-5743	368	9	)	)	PUNCT
ejpam-5743	368	10	=	=	SYM
ejpam-5743	368	11	exp	exp	NOUN
ejpam-5743	368	12	(	(	PUNCT
ejpam-5743	368	13	zg(x	zg(x	NUM
ejpam-5743	368	14	,	,	PUNCT
ejpam-5743	368	15	y	y	PROPN
ejpam-5743	368	16	)	)	PUNCT
ejpam-5743	368	17	+	+	CCONJ
ejpam-5743	369	1	k(x	k(x	PROPN
ejpam-5743	369	2	,	,	PUNCT
ejpam-5743	369	3	y	y	NOUN
ejpam-5743	369	4	)	)	PUNCT
ejpam-5743	369	5	)	)	PUNCT
ejpam-5743	369	6	.	.	PUNCT
ejpam-5743	370	1	m.	m.	PROPN
ejpam-5743	370	2	s.	s.	PROPN
ejpam-5743	370	3	ali	ali	PROPN
ejpam-5743	370	4	et	et	PROPN
ejpam-5743	370	5	al	al	PROPN
ejpam-5743	370	6	.	.	PUNCT
ejpam-5743	370	7	/	/	SYM
ejpam-5743	370	8	eur	eur	PROPN
ejpam-5743	370	9	.	.	PUNCT
ejpam-5743	371	1	j.	j.	PROPN
ejpam-5743	371	2	pure	pure	PROPN
ejpam-5743	371	3	appl	appl	PROPN
ejpam-5743	371	4	.	.	PROPN
ejpam-5743	371	5	math	math	PROPN
ejpam-5743	371	6	,	,	PUNCT
ejpam-5743	371	7	18	18	NUM
ejpam-5743	371	8	(	(	PUNCT
ejpam-5743	371	9	3	3	NUM
ejpam-5743	371	10	)	)	PUNCT
ejpam-5743	371	11	(	(	PUNCT
ejpam-5743	371	12	2025	2025	NUM
ejpam-5743	371	13	)	)	PUNCT
ejpam-5743	371	14	,	,	PUNCT
ejpam-5743	371	15	5743	5743	NUM
ejpam-5743	371	16	14	14	NUM
ejpam-5743	371	17	of	of	ADP
ejpam-5743	371	18	14	14	NUM
ejpam-5743	371	19	acknowledgements	acknowledgement	NOUN
ejpam-5743	371	20	the	the	DET
ejpam-5743	371	21	authors	author	NOUN
ejpam-5743	371	22	would	would	AUX
ejpam-5743	371	23	like	like	VERB
ejpam-5743	371	24	to	to	PART
ejpam-5743	371	25	sincerely	sincerely	ADV
ejpam-5743	371	26	thank	thank	VERB
ejpam-5743	371	27	the	the	DET
ejpam-5743	371	28	reviewers	reviewer	NOUN
ejpam-5743	371	29	for	for	ADP
ejpam-5743	371	30	their	their	PRON
ejpam-5743	371	31	careful	careful	ADJ
ejpam-5743	371	32	reading	reading	NOUN
ejpam-5743	371	33	and	and	CCONJ
ejpam-5743	371	34	many	many	ADJ
ejpam-5743	371	35	enlightening	enlightening	ADJ
ejpam-5743	371	36	comments	comment	NOUN
ejpam-5743	371	37	that	that	PRON
ejpam-5743	371	38	significantly	significantly	ADV
ejpam-5743	371	39	improve	improve	VERB
ejpam-5743	371	40	the	the	DET
ejpam-5743	371	41	quality	quality	NOUN
ejpam-5743	371	42	of	of	ADP
ejpam-5743	371	43	the	the	DET
ejpam-5743	371	44	article	article	NOUN
ejpam-5743	371	45	.	.	PUNCT
ejpam-5743	372	1	this	this	DET
ejpam-5743	372	2	works	work	NOUN
ejpam-5743	372	3	was	be	AUX
ejpam-5743	372	4	supported	support	VERB
ejpam-5743	372	5	by	by	ADP
ejpam-5743	372	6	the	the	DET
ejpam-5743	372	7	edp	edp	PROPN
ejpam-5743	372	8	-	-	PROPN
ejpam-5743	372	9	mc	mc	PROPN
ejpam-5743	372	10	network	network	NOUN
ejpam-5743	372	11	with	with	ADP
ejpam-5743	372	12	finance	finance	NOUN
ejpam-5743	372	13	support	support	NOUN
ejpam-5743	372	14	from	from	ADP
ejpam-5743	372	15	the	the	DET
ejpam-5743	372	16	international	international	ADJ
ejpam-5743	372	17	science	science	NOUN
ejpam-5743	372	18	program	program	NOUN
ejpam-5743	372	19	(	(	PUNCT
ejpam-5743	372	20	isp	isp	ADJ
ejpam-5743	372	21	grants	grant	NOUN
ejpam-5743	372	22	)	)	PUNCT
ejpam-5743	372	23	.	.	PUNCT
ejpam-5743	373	1	references	reference	NOUN
ejpam-5743	373	2	[	[	X
ejpam-5743	373	3	1	1	NUM
ejpam-5743	373	4	]	]	PUNCT
ejpam-5743	373	5	a.	a.	NOUN
ejpam-5743	373	6	lichnerowicz	lichnerowicz	PROPN
ejpam-5743	373	7	.	.	PUNCT
ejpam-5743	374	1	les	les	PROPN
ejpam-5743	374	2	variétés	variétés	PROPN
ejpam-5743	374	3	de	de	ADP
ejpam-5743	374	4	jacobi	jacobi	PROPN
ejpam-5743	374	5	et	et	PROPN
ejpam-5743	374	6	leurs	leur	VERB
ejpam-5743	374	7	algèbres	algèbre	NOUN
ejpam-5743	374	8	de	de	ADP
ejpam-5743	374	9	lie	lie	NOUN
ejpam-5743	374	10	associées	associée	NOUN
ejpam-5743	374	11	.	.	PUNCT
ejpam-5743	375	1	j.	j.	PROPN
ejpam-5743	375	2	math	math	PROPN
ejpam-5743	375	3	.	.	PUNCT
ejpam-5743	376	1	pures	pure	NOUN
ejpam-5743	376	2	appl	appl	PROPN
ejpam-5743	376	3	.	.	PROPN
ejpam-5743	376	4	,	,	PUNCT
ejpam-5743	376	5	1978	1978	NUM
ejpam-5743	376	6	.	.	PUNCT
ejpam-5743	377	1	[	[	X
ejpam-5743	377	2	2	2	NUM
ejpam-5743	377	3	]	]	PUNCT
ejpam-5743	377	4	m.	m.	NOUN
ejpam-5743	377	5	boucetta	boucetta	NOUN
ejpam-5743	377	6	.	.	PUNCT
ejpam-5743	378	1	compatibilité	compatibilité	PROPN
ejpam-5743	378	2	des	des	PROPN
ejpam-5743	378	3	structures	structure	NOUN
ejpam-5743	378	4	pseudo	pseudo	NOUN
ejpam-5743	378	5	-	-	NOUN
ejpam-5743	378	6	riemanniennes	riemannienne	NOUN
ejpam-5743	378	7	et	et	NOUN
ejpam-5743	378	8	des	des	X
ejpam-5743	378	9	structures	structure	NOUN
ejpam-5743	378	10	de	de	X
ejpam-5743	378	11	poisson	poisson	PROPN
ejpam-5743	378	12	.	.	PUNCT
ejpam-5743	379	1	c.	c.	PROPN
ejpam-5743	379	2	r.	r.	PROPN
ejpam-5743	379	3	acad	acad	PROPN
ejpam-5743	379	4	.	.	PUNCT
ejpam-5743	380	1	sci	sci	PROPN
ejpam-5743	380	2	.	.	PROPN
ejpam-5743	380	3	paris	paris	PROPN
ejpam-5743	380	4	,	,	PUNCT
ejpam-5743	380	5	t.	t.	PROPN
ejpam-5743	380	6	333(série	333(série	PROPN
ejpam-5743	380	7	i):763–768	i):763–768	PROPN
ejpam-5743	380	8	,	,	PUNCT
ejpam-5743	380	9	2001	2001	NUM
ejpam-5743	380	10	.	.	PUNCT
ejpam-5743	381	1	[	[	X
ejpam-5743	381	2	3	3	NUM
ejpam-5743	381	3	]	]	PUNCT
ejpam-5743	381	4	m.	m.	NOUN
ejpam-5743	381	5	boucetta	boucetta	NOUN
ejpam-5743	381	6	.	.	PUNCT
ejpam-5743	382	1	riemann	riemann	PROPN
ejpam-5743	382	2	–	–	PUNCT
ejpam-5743	382	3	poisson	poisson	NOUN
ejpam-5743	382	4	manifolds	manifold	NOUN
ejpam-5743	382	5	and	and	CCONJ
ejpam-5743	382	6	kähler	kähler	PROPN
ejpam-5743	382	7	–	–	PUNCT
ejpam-5743	382	8	riemann	riemann	PROPN
ejpam-5743	382	9	foliations	foliations	PROPN
ejpam-5743	382	10	.	.	PUNCT
ejpam-5743	383	1	c.	c.	PROPN
ejpam-5743	383	2	r.	r.	PROPN
ejpam-5743	383	3	acad	acad	PROPN
ejpam-5743	383	4	.	.	PUNCT
ejpam-5743	384	1	sci	sci	PROPN
ejpam-5743	384	2	.	.	PROPN
ejpam-5743	384	3	paris	paris	PROPN
ejpam-5743	384	4	,	,	PUNCT
ejpam-5743	384	5	t.	t.	PROPN
ejpam-5743	384	6	336(série	336(série	PROPN
ejpam-5743	384	7	i):423–428	i):423–428	PROPN
ejpam-5743	384	8	,	,	PUNCT
ejpam-5743	384	9	2003	2003	NUM
ejpam-5743	384	10	.	.	PUNCT
ejpam-5743	385	1	[	[	X
ejpam-5743	385	2	4	4	NUM
ejpam-5743	385	3	]	]	PUNCT
ejpam-5743	385	4	m.	m.	NOUN
ejpam-5743	385	5	boucetta	boucetta	NOUN
ejpam-5743	385	6	.	.	PUNCT
ejpam-5743	386	1	poisson	poisson	NOUN
ejpam-5743	386	2	structures	structure	NOUN
ejpam-5743	386	3	compatible	compatible	ADJ
ejpam-5743	386	4	with	with	ADP
ejpam-5743	386	5	the	the	DET
ejpam-5743	386	6	canonical	canonical	ADJ
ejpam-5743	386	7	metric	metric	NOUN
ejpam-5743	386	8	on	on	ADP
ejpam-5743	386	9	r3	r3	PROPN
ejpam-5743	386	10	.	.	PUNCT
ejpam-5743	387	1	https://arxiv.org/abs/math/0402219v1	https://arxiv.org/abs/math/0402219v1	PROPN
ejpam-5743	387	2	,	,	PUNCT
ejpam-5743	387	3	2004	2004	NUM
ejpam-5743	387	4	.	.	PUNCT
ejpam-5743	388	1	[	[	X
ejpam-5743	388	2	5	5	X
ejpam-5743	388	3	]	]	PUNCT
ejpam-5743	388	4	m.	m.	NOUN
ejpam-5743	388	5	s.	s.	PROPN
ejpam-5743	388	6	ali	ali	PROPN
ejpam-5743	388	7	,	,	PUNCT
ejpam-5743	388	8	m.	m.	NOUN
ejpam-5743	388	9	hassirou	hassirou	NOUN
ejpam-5743	388	10	,	,	PUNCT
ejpam-5743	388	11	and	and	CCONJ
ejpam-5743	388	12	m.	m.	NOUN
ejpam-5743	388	13	bazanfare	bazanfare	NOUN
ejpam-5743	388	14	.	.	PUNCT
ejpam-5743	389	1	splitting	splitting	NOUN
ejpam-5743	389	2	of	of	ADP
ejpam-5743	389	3	lightlike	lightlike	NOUN
ejpam-5743	389	4	submanifolds	submanifold	NOUN
ejpam-5743	389	5	of	of	ADP
ejpam-5743	389	6	pseudo	pseudo	NOUN
ejpam-5743	389	7	-	-	ADJ
ejpam-5743	389	8	riemannian	riemannian	ADJ
ejpam-5743	389	9	manifolds	manifold	NOUN
ejpam-5743	389	10	.	.	PUNCT
ejpam-5743	390	1	glob	glob	PROPN
ejpam-5743	390	2	.	.	PUNCT
ejpam-5743	391	1	j.	j.	PROPN
ejpam-5743	391	2	adv	adv	PROPN
ejpam-5743	391	3	.	.	PUNCT
ejpam-5743	392	1	res	res	PROPN
ejpam-5743	392	2	.	.	PUNCT
ejpam-5743	392	3	clas	clas	PROPN
ejpam-5743	392	4	.	.	PUNCT
ejpam-5743	393	1	mod	mod	PROPN
ejpam-5743	393	2	.	.	PUNCT
ejpam-5743	393	3	geom	geom	PROPN
ejpam-5743	393	4	.	.	PROPN
ejpam-5743	393	5	,	,	PUNCT
ejpam-5743	393	6	6(2):62–71	6(2):62–71	NUM
ejpam-5743	393	7	,	,	PUNCT
ejpam-5743	393	8	2017	2017	NUM
ejpam-5743	393	9	.	.	PUNCT
ejpam-5743	394	1	[	[	X
ejpam-5743	394	2	6	6	NUM
ejpam-5743	394	3	]	]	PUNCT
ejpam-5743	394	4	m.	m.	NOUN
ejpam-5743	394	5	hassirou	hassirou	NOUN
ejpam-5743	394	6	.	.	PUNCT
ejpam-5743	395	1	introduction	introduction	NOUN
ejpam-5743	395	2	in	in	ADP
ejpam-5743	395	3	poisson	poisson	PROPN
ejpam-5743	395	4	manifolds	manifold	NOUN
ejpam-5743	395	5	with	with	ADP
ejpam-5743	395	6	lightlike	lightlike	PROPN
ejpam-5743	395	7	kaelher	kaelher	PROPN
ejpam-5743	395	8	foliation	foliation	PROPN
ejpam-5743	395	9	.	.	PUNCT
ejpam-5743	396	1	pioneer	pioneer	PROPN
ejpam-5743	396	2	jour	jour	PROPN
ejpam-5743	396	3	.	.	PROPN
ejpam-5743	396	4	of	of	ADP
ejpam-5743	396	5	math	math	NOUN
ejpam-5743	396	6	.	.	PUNCT
ejpam-5743	397	1	and	and	CCONJ
ejpam-5743	397	2	math	math	NOUN
ejpam-5743	397	3	.	.	PUNCT
ejpam-5743	398	1	sci	sci	PROPN
ejpam-5743	398	2	.	.	PROPN
ejpam-5743	398	3	,	,	PUNCT
ejpam-5743	398	4	7(1):37–50	7(1):37–50	NUM
ejpam-5743	398	5	,	,	PUNCT
ejpam-5743	398	6	2013	2013	NUM
ejpam-5743	398	7	.	.	PUNCT
ejpam-5743	399	1	[	[	X
ejpam-5743	399	2	7	7	X
ejpam-5743	399	3	]	]	X
ejpam-5743	399	4	y.	y.	NOUN
ejpam-5743	399	5	a.	a.	PROPN
ejpam-5743	399	6	amrane	amrane	PROPN
ejpam-5743	399	7	and	and	CCONJ
ejpam-5743	399	8	a.	a.	NOUN
ejpam-5743	399	9	zeglaoui	zeglaoui	PROPN
ejpam-5743	399	10	.	.	PUNCT
ejpam-5743	400	1	compatibility	compatibility	NOUN
ejpam-5743	400	2	of	of	ADP
ejpam-5743	400	3	riemannian	riemannian	ADJ
ejpam-5743	400	4	structures	structure	NOUN
ejpam-5743	400	5	and	and	CCONJ
ejpam-5743	400	6	jacobi	jacobi	PROPN
ejpam-5743	400	7	structures	structure	NOUN
ejpam-5743	400	8	.	.	PUNCT
ejpam-5743	401	1	journal	journal	NOUN
ejpam-5743	401	2	of	of	ADP
ejpam-5743	401	3	geometry	geometry	NOUN
ejpam-5743	401	4	and	and	CCONJ
ejpam-5743	401	5	physics	physics	NOUN
ejpam-5743	401	6	,	,	PUNCT
ejpam-5743	401	7	133:71–80	133:71–80	NUM
ejpam-5743	401	8	,	,	PUNCT
ejpam-5743	401	9	2018	2018	NUM
ejpam-5743	401	10	.	.	PUNCT
ejpam-5743	402	1	[	[	X
ejpam-5743	402	2	8	8	NUM
ejpam-5743	402	3	]	]	X
ejpam-5743	402	4	claude	claude	PROPN
ejpam-5743	402	5	albert	albert	PROPN
ejpam-5743	402	6	.	.	PROPN
ejpam-5743	402	7	un	un	PROPN
ejpam-5743	402	8	théorème	théorème	PROPN
ejpam-5743	402	9	de	de	PROPN
ejpam-5743	402	10	réalisation	réalisation	PROPN
ejpam-5743	402	11	des	des	PROPN
ejpam-5743	402	12	vaitétés	vaitétés	PROPN
ejpam-5743	402	13	de	de	PROPN
ejpam-5743	402	14	jacobi	jacobi	PROPN
ejpam-5743	402	15	.	.	PUNCT
ejpam-5743	403	1	c.	c.	PROPN
ejpam-5743	403	2	r.	r.	PROPN
ejpam-5743	403	3	acad	acad	PROPN
ejpam-5743	403	4	.	.	PUNCT
ejpam-5743	404	1	sci	sci	PROPN
ejpam-5743	404	2	.	.	PROPN
ejpam-5743	404	3	paris	paris	PROPN
ejpam-5743	404	4	,	,	PUNCT
ejpam-5743	404	5	t	t	PROPN
ejpam-5743	404	6	317(série	317(série	NUM
ejpam-5743	404	7	i):77–88	i):77–88	NUM
ejpam-5743	404	8	,	,	PUNCT
ejpam-5743	404	9	1993	1993	NUM
ejpam-5743	404	10	.	.	PUNCT
ejpam-5743	405	1	[	[	X
ejpam-5743	405	2	9	9	NUM
ejpam-5743	405	3	]	]	PUNCT
ejpam-5743	405	4	a.	a.	NOUN
ejpam-5743	405	5	m.	m.	NOUN
ejpam-5743	405	6	justino	justino	PROPN
ejpam-5743	405	7	.	.	PUNCT
ejpam-5743	406	1	propriété	propriété	PROPN
ejpam-5743	406	2	du	du	PROPN
ejpam-5743	406	3	quotient	quotient	PROPN
ejpam-5743	406	4	d’une	d’une	PROPN
ejpam-5743	406	5	variété	variété	PROPN
ejpam-5743	406	6	de	de	PROPN
ejpam-5743	406	7	jacobi	jacobi	PROPN
ejpam-5743	406	8	par	par	PROPN
ejpam-5743	406	9	un	un	PROPN
ejpam-5743	406	10	feuilletage	feuilletage	PROPN
ejpam-5743	406	11	engendré	engendré	PROPN
ejpam-5743	406	12	par	par	PROPN
ejpam-5743	406	13	des	des	PROPN
ejpam-5743	406	14	automorphismes	automorphismes	PROPN
ejpam-5743	406	15	infinitésimaux	infinitésimaux	PROPN
ejpam-5743	406	16	.	.	PUNCT
ejpam-5743	407	1	c.	c.	PROPN
ejpam-5743	407	2	r.	r.	PROPN
ejpam-5743	407	3	acad	acad	PROPN
ejpam-5743	407	4	.	.	PUNCT
ejpam-5743	408	1	sci	sci	PROPN
ejpam-5743	408	2	.	.	PROPN
ejpam-5743	408	3	paris	paris	PROPN
ejpam-5743	408	4	,	,	PUNCT
ejpam-5743	408	5	t.	t.	PROPN
ejpam-5743	408	6	298(série	298(série	PROPN
ejpam-5743	408	7	i):489–492	i):489–492	PROPN
ejpam-5743	408	8	,	,	PUNCT
ejpam-5743	408	9	1984	1984	NUM
ejpam-5743	408	10	.	.	PUNCT
ejpam-5743	409	1	[	[	X
ejpam-5743	409	2	10	10	NUM
ejpam-5743	409	3	]	]	PUNCT
ejpam-5743	409	4	m.	m.	NOUN
ejpam-5743	409	5	crainic	crainic	NOUN
ejpam-5743	409	6	and	and	CCONJ
ejpam-5743	409	7	c.	c.	PROPN
ejpam-5743	409	8	zhu	zhu	PROPN
ejpam-5743	409	9	.	.	PUNCT
ejpam-5743	410	1	integrability	integrability	NOUN
ejpam-5743	410	2	of	of	ADP
ejpam-5743	410	3	jacobi	jacobi	PROPN
ejpam-5743	410	4	and	and	CCONJ
ejpam-5743	410	5	poisson	poisson	PROPN
ejpam-5743	410	6	structures	structure	NOUN
ejpam-5743	410	7	.	.	PUNCT
ejpam-5743	411	1	ann	ann	PROPN
ejpam-5743	411	2	.	.	PROPN
ejpam-5743	411	3	inst	inst	PROPN
ejpam-5743	411	4	.	.	PUNCT
ejpam-5743	412	1	fourier	fourier	PROPN
ejpam-5743	412	2	,	,	PUNCT
ejpam-5743	412	3	grenoble	grenoble	PROPN
ejpam-5743	412	4	.	.	PROPN
ejpam-5743	412	5	,	,	PUNCT
ejpam-5743	412	6	57(4):1181–1216	57(4):1181–1216	NUM
ejpam-5743	412	7	,	,	PUNCT
ejpam-5743	412	8	2007	2007	NUM
ejpam-5743	412	9	.	.	PUNCT
ejpam-5743	413	1	[	[	X
ejpam-5743	413	2	11	11	NUM
ejpam-5743	413	3	]	]	X
ejpam-5743	413	4	p.	p.	NOUN
ejpam-5743	413	5	dazord	dazord	NOUN
ejpam-5743	413	6	,	,	PUNCT
ejpam-5743	413	7	a.	a.	NOUN
ejpam-5743	413	8	lichnerowicz	lichnerowicz	NOUN
ejpam-5743	413	9	,	,	PUNCT
ejpam-5743	413	10	and	and	CCONJ
ejpam-5743	413	11	c	c	X
ejpam-5743	413	12	-	-	PUNCT
ejpam-5743	413	13	m.	m.	NOUN
ejpam-5743	413	14	marle	marle	NOUN
ejpam-5743	413	15	.	.	PUNCT
ejpam-5743	414	1	structure	structure	NOUN
ejpam-5743	414	2	locale	locale	PROPN
ejpam-5743	414	3	des	des	PROPN
ejpam-5743	414	4	variétés	variétés	PROPN
ejpam-5743	414	5	de	de	PROPN
ejpam-5743	414	6	jacobi	jacobi	PROPN
ejpam-5743	414	7	.	.	PUNCT
ejpam-5743	415	1	j.	j.	PROPN
ejpam-5743	415	2	math	math	PROPN
ejpam-5743	415	3	.	.	PUNCT
ejpam-5743	416	1	pures	pure	NOUN
ejpam-5743	416	2	et	et	PROPN
ejpam-5743	416	3	appl	appl	PROPN
ejpam-5743	416	4	.	.	PROPN
ejpam-5743	416	5	,	,	PUNCT
ejpam-5743	416	6	70:101–152	70:101–152	NUM
ejpam-5743	416	7	,	,	PUNCT
ejpam-5743	416	8	1991	1991	NUM
ejpam-5743	416	9	.	.	PUNCT
ejpam-5743	417	1	[	[	X
ejpam-5743	417	2	12	12	NUM
ejpam-5743	417	3	]	]	PUNCT
ejpam-5743	417	4	m.	m.	PROPN
ejpam-5743	417	5	s.	s.	PROPN
ejpam-5743	417	6	ali	ali	PROPN
ejpam-5743	417	7	,	,	PUNCT
ejpam-5743	417	8	a.	a.	NOUN
ejpam-5743	417	9	t.	t.	NOUN
ejpam-5743	417	10	banao	banao	NOUN
ejpam-5743	417	11	,	,	PUNCT
ejpam-5743	417	12	and	and	CCONJ
ejpam-5743	417	13	m.	m.	NOUN
ejpam-5743	417	14	hassirou	hassirou	NOUN
ejpam-5743	417	15	.	.	PUNCT
ejpam-5743	418	1	complex	complex	ADJ
ejpam-5743	418	2	structure	structure	NOUN
ejpam-5743	418	3	on	on	ADP
ejpam-5743	418	4	pseudoriemannian	pseudoriemannian	ADJ
ejpam-5743	418	5	poisson	poisson	NOUN
ejpam-5743	418	6	manifolds	manifold	NOUN
ejpam-5743	418	7	.	.	PUNCT
ejpam-5743	419	1	in	in	ADP
ejpam-5743	419	2	proceedings	proceeding	NOUN
ejpam-5743	419	3	of	of	ADP
ejpam-5743	419	4	the	the	DET
ejpam-5743	419	5	third	third	ADJ
ejpam-5743	419	6	nlaga	nlaga	NOUN
ejpam-5743	419	7	-	-	PUNCT
ejpam-5743	419	8	birs	bir	NOUN
ejpam-5743	419	9	symposium	symposium	NOUN
ejpam-5743	419	10	aims	aim	NOUN
ejpam-5743	419	11	-	-	PUNCT
ejpam-5743	419	12	mbour	mbour	NOUN
ejpam-5743	419	13	sénégal	sénégal	NOUN
ejpam-5743	419	14	,	,	PUNCT
ejpam-5743	419	15	editor	editor	NOUN
ejpam-5743	419	16	,	,	PUNCT
ejpam-5743	419	17	nonlinear	nonlinear	ADJ
ejpam-5743	419	18	analysis	analysis	NOUN
ejpam-5743	419	19	,	,	PUNCT
ejpam-5743	419	20	geometry	geometry	NOUN
ejpam-5743	419	21	and	and	CCONJ
ejpam-5743	419	22	applications	application	NOUN
ejpam-5743	419	23	,	,	PUNCT
ejpam-5743	419	24	pages	page	NOUN
ejpam-5743	419	25	257–283	257–283	NUM
ejpam-5743	419	26	.	.	PUNCT
ejpam-5743	419	27	trends	trend	NOUN
ejpam-5743	419	28	in	in	ADP
ejpam-5743	419	29	mathematics	mathematic	NOUN
ejpam-5743	419	30	,	,	PUNCT
ejpam-5743	419	31	birkhäuser	birkhäuser	NOUN
ejpam-5743	419	32	,	,	PUNCT
ejpam-5743	419	33	cham	cham	PROPN
ejpam-5743	419	34	,	,	PUNCT
ejpam-5743	419	35	august	august	PROPN
ejpam-5743	419	36	,	,	PUNCT
ejpam-5743	419	37	21	21	NUM
ejpam-5743	419	38	-	-	SYM
ejpam-5743	419	39	27	27	NUM
ejpam-5743	419	40	,	,	PUNCT
ejpam-5743	419	41	2023	2023	NUM
ejpam-5743	419	42	.	.	PUNCT
ejpam-5743	420	1	https://doi.org/10.1007/978-3-031-52681-7	https://doi.org/10.1007/978-3-031-52681-7	PROPN
ejpam-5743	420	2	.	.	PUNCT
ejpam-5743	421	1	[	[	X
ejpam-5743	421	2	13	13	NUM
ejpam-5743	421	3	]	]	X
ejpam-5743	421	4	n.	n.	NOUN
ejpam-5743	421	5	m.	m.	NOUN
ejpam-5743	421	6	alba	alba	PROPN
ejpam-5743	421	7	and	and	CCONJ
ejpam-5743	421	8	a.	a.	NOUN
ejpam-5743	421	9	vargas	vargas	NOUN
ejpam-5743	421	10	.	.	PUNCT
ejpam-5743	422	1	on	on	ADP
ejpam-5743	422	2	the	the	DET
ejpam-5743	422	3	geometry	geometry	NOUN
ejpam-5743	422	4	of	of	ADP
ejpam-5743	422	5	compatible	compatible	ADJ
ejpam-5743	422	6	poisson	poisson	NOUN
ejpam-5743	422	7	and	and	CCONJ
ejpam-5743	422	8	riemannian	riemannian	ADJ
ejpam-5743	422	9	structures	structure	NOUN
ejpam-5743	422	10	.	.	PUNCT
ejpam-5743	423	1	arxiv:1709.02525v1	arxiv:1709.02525v1	ADJ
ejpam-5743	423	2	,	,	PUNCT
ejpam-5743	423	3	2017	2017	NUM
ejpam-5743	423	4	.	.	PUNCT