id	sid	tid	token	lemma	pos
ejpam-1515	1	1	10_linton.dvi	10_linton.dvi	NUM
ejpam-1515	1	2	european	european	PROPN
ejpam-1515	1	3	journal	journal	PROPN
ejpam-1515	1	4	of	of	ADP
ejpam-1515	1	5	pure	pure	ADJ
ejpam-1515	1	6	and	and	CCONJ
ejpam-1515	1	7	applied	apply	VERB
ejpam-1515	1	8	mathematics	mathematic	NOUN
ejpam-1515	1	9	vol	vol	NOUN
ejpam-1515	1	10	.	.	PROPN
ejpam-1515	1	11	5	5	NUM
ejpam-1515	1	12	,	,	PUNCT
ejpam-1515	1	13	no	no	INTJ
ejpam-1515	1	14	.	.	NOUN
ejpam-1515	1	15	4	4	NUM
ejpam-1515	1	16	,	,	PUNCT
ejpam-1515	1	17	2012	2012	NUM
ejpam-1515	1	18	,	,	PUNCT
ejpam-1515	1	19	567	567	NUM
ejpam-1515	1	20	-	-	SYM
ejpam-1515	1	21	583	583	NUM
ejpam-1515	1	22	issn	issn	PROPN
ejpam-1515	1	23	1307	1307	NUM
ejpam-1515	1	24	-	-	SYM
ejpam-1515	1	25	5543	5543	NUM
ejpam-1515	1	26	–	–	PUNCT
ejpam-1515	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-1515	1	28	casimirs	casimir	NOUN
ejpam-1515	1	29	and	and	CCONJ
ejpam-1515	1	30	lax	lax	ADJ
ejpam-1515	1	31	operators	operator	NOUN
ejpam-1515	1	32	from	from	ADP
ejpam-1515	1	33	the	the	DET
ejpam-1515	1	34	structure	structure	NOUN
ejpam-1515	1	35	of	of	ADP
ejpam-1515	1	36	lie	lie	NOUN
ejpam-1515	1	37	algebras	algebras	PROPN
ejpam-1515	1	38	carol	carol	PROPN
ejpam-1515	1	39	linton1,∗	linton1,∗	PROPN
ejpam-1515	1	40	,	,	PUNCT
ejpam-1515	1	41	william	william	PROPN
ejpam-1515	1	42	holderbaum1	holderbaum1	PROPN
ejpam-1515	1	43	,	,	PUNCT
ejpam-1515	1	44	james	james	PROPN
ejpam-1515	1	45	biggs2	biggs2	PROPN
ejpam-1515	1	46	1	1	NUM
ejpam-1515	1	47	school	school	NOUN
ejpam-1515	1	48	of	of	ADP
ejpam-1515	1	49	systems	system	NOUN
ejpam-1515	1	50	engineering	engineering	NOUN
ejpam-1515	1	51	,	,	PUNCT
ejpam-1515	1	52	university	university	NOUN
ejpam-1515	1	53	of	of	ADP
ejpam-1515	1	54	reading	reading	NOUN
ejpam-1515	1	55	,	,	PUNCT
ejpam-1515	1	56	reading	reading	NOUN
ejpam-1515	1	57	.	.	PUNCT
ejpam-1515	2	1	uk	uk	PROPN
ejpam-1515	2	2	2	2	NUM
ejpam-1515	2	3	department	department	NOUN
ejpam-1515	2	4	of	of	ADP
ejpam-1515	2	5	mechanical	mechanical	ADJ
ejpam-1515	2	6	engineering	engineering	NOUN
ejpam-1515	2	7	,	,	PUNCT
ejpam-1515	2	8	university	university	NOUN
ejpam-1515	2	9	of	of	ADP
ejpam-1515	2	10	strathclyde	strathclyde	PROPN
ejpam-1515	2	11	,	,	PUNCT
ejpam-1515	2	12	glasgow	glasgow	PROPN
ejpam-1515	2	13	,	,	PUNCT
ejpam-1515	2	14	uk	uk	PROPN
ejpam-1515	2	15	abstract	abstract	NOUN
ejpam-1515	2	16	.	.	PUNCT
ejpam-1515	3	1	this	this	DET
ejpam-1515	3	2	paper	paper	NOUN
ejpam-1515	3	3	uses	use	VERB
ejpam-1515	3	4	the	the	DET
ejpam-1515	3	5	structure	structure	NOUN
ejpam-1515	3	6	of	of	ADP
ejpam-1515	3	7	the	the	DET
ejpam-1515	3	8	lie	lie	NOUN
ejpam-1515	3	9	algebras	algebra	VERB
ejpam-1515	3	10	to	to	PART
ejpam-1515	3	11	identify	identify	VERB
ejpam-1515	3	12	the	the	DET
ejpam-1515	3	13	casimir	casimir	NOUN
ejpam-1515	3	14	invariant	invariant	ADJ
ejpam-1515	3	15	functions	function	NOUN
ejpam-1515	3	16	and	and	CCONJ
ejpam-1515	3	17	lax	lax	ADJ
ejpam-1515	3	18	operators	operator	NOUN
ejpam-1515	3	19	for	for	ADP
ejpam-1515	3	20	matrix	matrix	NOUN
ejpam-1515	3	21	lie	lie	NOUN
ejpam-1515	3	22	groups	group	NOUN
ejpam-1515	3	23	.	.	PUNCT
ejpam-1515	4	1	a	a	DET
ejpam-1515	4	2	novel	novel	ADJ
ejpam-1515	4	3	mapping	mapping	NOUN
ejpam-1515	4	4	is	be	AUX
ejpam-1515	4	5	found	find	VERB
ejpam-1515	4	6	from	from	ADP
ejpam-1515	4	7	the	the	DET
ejpam-1515	4	8	cotangent	cotangent	NOUN
ejpam-1515	4	9	space	space	NOUN
ejpam-1515	4	10	to	to	ADP
ejpam-1515	4	11	the	the	DET
ejpam-1515	4	12	dual	dual	ADJ
ejpam-1515	4	13	lie	lie	NOUN
ejpam-1515	4	14	algebra	algebra	NOUN
ejpam-1515	4	15	which	which	PRON
ejpam-1515	4	16	enables	enable	VERB
ejpam-1515	4	17	lax	lax	ADJ
ejpam-1515	4	18	operators	operator	NOUN
ejpam-1515	4	19	to	to	PART
ejpam-1515	4	20	be	be	AUX
ejpam-1515	4	21	found	find	VERB
ejpam-1515	4	22	.	.	PUNCT
ejpam-1515	5	1	the	the	DET
ejpam-1515	5	2	coordinate	coordinate	ADJ
ejpam-1515	5	3	equations	equation	NOUN
ejpam-1515	5	4	of	of	ADP
ejpam-1515	5	5	motion	motion	NOUN
ejpam-1515	5	6	are	be	AUX
ejpam-1515	5	7	given	give	VERB
ejpam-1515	5	8	in	in	ADP
ejpam-1515	5	9	terms	term	NOUN
ejpam-1515	5	10	of	of	ADP
ejpam-1515	5	11	the	the	DET
ejpam-1515	5	12	structure	structure	NOUN
ejpam-1515	5	13	constants	constant	NOUN
ejpam-1515	5	14	and	and	CCONJ
ejpam-1515	5	15	the	the	DET
ejpam-1515	5	16	hamiltonian	hamiltonian	NOUN
ejpam-1515	5	17	.	.	PUNCT
ejpam-1515	6	1	2010	2010	NUM
ejpam-1515	6	2	mathematics	mathematic	NOUN
ejpam-1515	6	3	subject	subject	NOUN
ejpam-1515	6	4	classifications	classification	NOUN
ejpam-1515	6	5	:	:	PUNCT
ejpam-1515	6	6	17b45	17b45	NUM
ejpam-1515	6	7	,	,	PUNCT
ejpam-1515	6	8	53d17	53d17	NUM
ejpam-1515	6	9	,	,	PUNCT
ejpam-1515	6	10	17b63	17b63	NUM
ejpam-1515	6	11	key	key	ADJ
ejpam-1515	6	12	words	word	NOUN
ejpam-1515	6	13	and	and	CCONJ
ejpam-1515	6	14	phrases	phrase	NOUN
ejpam-1515	6	15	:	:	PUNCT
ejpam-1515	6	16	casimir	casimir	NOUN
ejpam-1515	6	17	invariants	invariant	NOUN
ejpam-1515	6	18	,	,	PUNCT
ejpam-1515	6	19	lax	lax	ADJ
ejpam-1515	6	20	operators	operator	NOUN
ejpam-1515	6	21	,	,	PUNCT
ejpam-1515	6	22	structure	structure	NOUN
ejpam-1515	6	23	constants	constant	NOUN
ejpam-1515	6	24	,	,	PUNCT
ejpam-1515	6	25	matrix	matrix	NOUN
ejpam-1515	6	26	lie	lie	NOUN
ejpam-1515	6	27	algebras	algebra	NOUN
ejpam-1515	6	28	,	,	PUNCT
ejpam-1515	6	29	poisson	poisson	PROPN
ejpam-1515	6	30	manifolds	manifold	VERB
ejpam-1515	6	31	1	1	NUM
ejpam-1515	6	32	.	.	PUNCT
ejpam-1515	7	1	introduction	introduction	NOUN
ejpam-1515	7	2	lie	lie	NOUN
ejpam-1515	7	3	groups	group	NOUN
ejpam-1515	7	4	are	be	AUX
ejpam-1515	7	5	used	use	VERB
ejpam-1515	7	6	to	to	PART
ejpam-1515	7	7	plan	plan	VERB
ejpam-1515	7	8	trajectories	trajectory	NOUN
ejpam-1515	7	9	(	(	PUNCT
ejpam-1515	7	10	in	in	ADP
ejpam-1515	7	11	the	the	DET
ejpam-1515	7	12	widest	wide	ADJ
ejpam-1515	7	13	sense	sense	NOUN
ejpam-1515	7	14	)	)	PUNCT
ejpam-1515	7	15	.	.	PUNCT
ejpam-1515	8	1	for	for	ADP
ejpam-1515	8	2	example	example	NOUN
ejpam-1515	8	3	,	,	PUNCT
ejpam-1515	8	4	the	the	DET
ejpam-1515	8	5	attitude	attitude	NOUN
ejpam-1515	8	6	of	of	ADP
ejpam-1515	8	7	a	a	DET
ejpam-1515	8	8	satellite	satellite	NOUN
ejpam-1515	8	9	is	be	AUX
ejpam-1515	8	10	controlled	control	VERB
ejpam-1515	8	11	by	by	ADP
ejpam-1515	8	12	3	3	NUM
ejpam-1515	8	13	rotations	rotation	NOUN
ejpam-1515	8	14	[	[	X
ejpam-1515	8	15	3	3	NUM
ejpam-1515	8	16	]	]	PUNCT
ejpam-1515	8	17	,	,	PUNCT
ejpam-1515	8	18	quantum	quantum	NOUN
ejpam-1515	8	19	computing	computing	NOUN
ejpam-1515	8	20	needs	need	VERB
ejpam-1515	8	21	to	to	PART
ejpam-1515	8	22	control	control	VERB
ejpam-1515	8	23	the	the	DET
ejpam-1515	8	24	electron	electron	NOUN
ejpam-1515	8	25	states	state	NOUN
ejpam-1515	8	26	[	[	X
ejpam-1515	8	27	7	7	NUM
ejpam-1515	8	28	]	]	PUNCT
ejpam-1515	8	29	,	,	PUNCT
ejpam-1515	8	30	and	and	CCONJ
ejpam-1515	8	31	underwater	underwater	ADJ
ejpam-1515	8	32	vehicles	vehicle	NOUN
ejpam-1515	8	33	use	use	VERB
ejpam-1515	8	34	the	the	DET
ejpam-1515	8	35	rotations	rotation	NOUN
ejpam-1515	8	36	and	and	CCONJ
ejpam-1515	8	37	translations	translation	NOUN
ejpam-1515	8	38	of	of	ADP
ejpam-1515	8	39	the	the	DET
ejpam-1515	8	40	euclidean	euclidean	ADJ
ejpam-1515	8	41	group	group	NOUN
ejpam-1515	9	1	[	[	X
ejpam-1515	9	2	14	14	NUM
ejpam-1515	9	3	]	]	PUNCT
ejpam-1515	9	4	.	.	PUNCT
ejpam-1515	10	1	the	the	DET
ejpam-1515	10	2	conservation	conservation	NOUN
ejpam-1515	10	3	laws	law	NOUN
ejpam-1515	10	4	and	and	CCONJ
ejpam-1515	10	5	geometric	geometric	ADJ
ejpam-1515	10	6	constraints	constraint	NOUN
ejpam-1515	10	7	determine	determine	VERB
ejpam-1515	10	8	which	which	DET
ejpam-1515	10	9	lie	lie	NOUN
ejpam-1515	10	10	group	group	NOUN
ejpam-1515	10	11	is	be	AUX
ejpam-1515	10	12	appropriate	appropriate	ADJ
ejpam-1515	10	13	for	for	ADP
ejpam-1515	10	14	the	the	DET
ejpam-1515	10	15	system	system	NOUN
ejpam-1515	10	16	under	under	ADP
ejpam-1515	10	17	consideration	consideration	NOUN
ejpam-1515	10	18	.	.	PUNCT
ejpam-1515	11	1	these	these	DET
ejpam-1515	11	2	invariants	invariant	NOUN
ejpam-1515	11	3	can	can	AUX
ejpam-1515	11	4	include	include	VERB
ejpam-1515	11	5	momentum	momentum	NOUN
ejpam-1515	11	6	and	and	CCONJ
ejpam-1515	11	7	energy	energy	NOUN
ejpam-1515	11	8	.	.	PUNCT
ejpam-1515	12	1	conversely	conversely	ADV
ejpam-1515	12	2	,	,	PUNCT
ejpam-1515	12	3	the	the	DET
ejpam-1515	12	4	structure	structure	NOUN
ejpam-1515	12	5	of	of	ADP
ejpam-1515	12	6	a	a	DET
ejpam-1515	12	7	lie	lie	NOUN
ejpam-1515	12	8	group	group	NOUN
ejpam-1515	12	9	determine	determine	VERB
ejpam-1515	12	10	the	the	DET
ejpam-1515	12	11	invariant	invariant	ADJ
ejpam-1515	12	12	functions	function	NOUN
ejpam-1515	12	13	.	.	PUNCT
ejpam-1515	13	1	this	this	DET
ejpam-1515	13	2	paper	paper	NOUN
ejpam-1515	13	3	uses	use	VERB
ejpam-1515	13	4	the	the	DET
ejpam-1515	13	5	base	base	ADJ
ejpam-1515	13	6	matrices	matrix	NOUN
ejpam-1515	13	7	of	of	ADP
ejpam-1515	13	8	a	a	DET
ejpam-1515	13	9	lie	lie	NOUN
ejpam-1515	13	10	algebra	algebra	NOUN
ejpam-1515	13	11	to	to	PART
ejpam-1515	13	12	•	•	ADV
ejpam-1515	13	13	identify	identify	VERB
ejpam-1515	13	14	the	the	DET
ejpam-1515	13	15	structure	structure	NOUN
ejpam-1515	13	16	of	of	ADP
ejpam-1515	13	17	the	the	DET
ejpam-1515	13	18	lie	lie	NOUN
ejpam-1515	13	19	algebra	algebra	NOUN
ejpam-1515	13	20	by	by	ADP
ejpam-1515	13	21	calculating	calculate	VERB
ejpam-1515	13	22	the	the	DET
ejpam-1515	13	23	structure	structure	NOUN
ejpam-1515	13	24	constants	constant	NOUN
ejpam-1515	13	25	arising	arise	VERB
ejpam-1515	13	26	from	from	ADP
ejpam-1515	13	27	the	the	DET
ejpam-1515	13	28	curvature	curvature	NOUN
ejpam-1515	13	29	of	of	ADP
ejpam-1515	13	30	the	the	DET
ejpam-1515	13	31	space	space	NOUN
ejpam-1515	13	32	and	and	CCONJ
ejpam-1515	13	33	non	non	ADJ
ejpam-1515	13	34	-	-	ADJ
ejpam-1515	13	35	associative	associative	ADJ
ejpam-1515	13	36	action	action	NOUN
ejpam-1515	13	37	of	of	ADP
ejpam-1515	13	38	the	the	DET
ejpam-1515	13	39	tangent	tangent	NOUN
ejpam-1515	13	40	fields	field	NOUN
ejpam-1515	13	41	•	•	ADV
ejpam-1515	13	42	identify	identify	VERB
ejpam-1515	13	43	the	the	DET
ejpam-1515	13	44	prerequisite	prerequisite	NOUN
ejpam-1515	13	45	of	of	ADP
ejpam-1515	13	46	any	any	DET
ejpam-1515	13	47	invariant	invariant	ADJ
ejpam-1515	13	48	function	function	NOUN
ejpam-1515	13	49	arising	arise	VERB
ejpam-1515	13	50	from	from	ADP
ejpam-1515	13	51	the	the	DET
ejpam-1515	13	52	structure	structure	NOUN
ejpam-1515	13	53	of	of	ADP
ejpam-1515	13	54	the	the	DET
ejpam-1515	13	55	lie	lie	NOUN
ejpam-1515	13	56	algebra	algebra	NOUN
ejpam-1515	13	57	(	(	PUNCT
ejpam-1515	13	58	known	know	VERB
ejpam-1515	13	59	as	as	ADP
ejpam-1515	13	60	casimir	casimir	NOUN
ejpam-1515	13	61	invariants	invariant	NOUN
ejpam-1515	13	62	)	)	PUNCT
ejpam-1515	13	63	,	,	PUNCT
ejpam-1515	13	64	and	and	CCONJ
ejpam-1515	13	65	then	then	ADV
ejpam-1515	13	66	finding	find	VERB
ejpam-1515	13	67	these	these	DET
ejpam-1515	13	68	casimirs	casimir	NOUN
ejpam-1515	13	69	for	for	ADP
ejpam-1515	13	70	a	a	DET
ejpam-1515	13	71	range	range	NOUN
ejpam-1515	13	72	of	of	ADP
ejpam-1515	13	73	algebras	algebra	NOUN
ejpam-1515	13	74	•	•	ADP
ejpam-1515	13	75	produce	produce	VERB
ejpam-1515	13	76	the	the	DET
ejpam-1515	13	77	differential	differential	ADJ
ejpam-1515	13	78	equations	equation	NOUN
ejpam-1515	13	79	of	of	ADP
ejpam-1515	13	80	motion	motion	NOUN
ejpam-1515	13	81	from	from	ADP
ejpam-1515	13	82	a	a	DET
ejpam-1515	13	83	hamiltonian	hamiltonian	NOUN
ejpam-1515	13	84	,	,	PUNCT
ejpam-1515	13	85	which	which	PRON
ejpam-1515	13	86	incorporates	incorporate	VERB
ejpam-1515	13	87	the	the	DET
ejpam-1515	13	88	geometric	geometric	ADJ
ejpam-1515	13	89	structure	structure	NOUN
ejpam-1515	13	90	∗corresponding	∗corresponde	VERB
ejpam-1515	13	91	author	author	NOUN
ejpam-1515	13	92	.	.	PUNCT
ejpam-1515	14	1	email	email	NOUN
ejpam-1515	14	2	addresses	address	NOUN
ejpam-1515	14	3	:	:	PUNCT
ejpam-1515	14	4	.l.linton	.l.linton	PUNCT
ejpam-1515	14	5	�	�	PROPN
ejpam-1515	14	6	pgr.reading.a	pgr.reading.a	PROPN
ejpam-1515	14	7	.uk	.uk	PUNCT
ejpam-1515	15	1	(	(	PUNCT
ejpam-1515	15	2	c.linton	c.linton	NOUN
ejpam-1515	15	3	)	)	PUNCT
ejpam-1515	15	4	,	,	PUNCT
ejpam-1515	15	5	w.holderbaum	w.holderbaum	NOUN
ejpam-1515	15	6	�	�	NOUN
ejpam-1515	15	7	reading.a	reading.a	PROPN
ejpam-1515	15	8	.uk	.uk	PUNCT
ejpam-1515	16	1	(	(	PUNCT
ejpam-1515	16	2	w.holderbaum	w.holderbaum	NOUN
ejpam-1515	16	3	)	)	PUNCT
ejpam-1515	16	4	,	,	PUNCT
ejpam-1515	16	5	james.biggs	james.biggs	PROPN
ejpam-1515	16	6	�	�	PROPN
ejpam-1515	16	7	strath.a	strath.a	NUM
ejpam-1515	16	8	.uk	.uk	PUNCT
ejpam-1515	17	1	(	(	PUNCT
ejpam-1515	17	2	j.biggs	j.bigg	NOUN
ejpam-1515	17	3	)	)	PUNCT
ejpam-1515	17	4	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1515	18	1	567	567	NUM
ejpam-1515	18	2	c	c	NOUN
ejpam-1515	18	3	©	©	PROPN
ejpam-1515	18	4	2012	2012	NUM
ejpam-1515	18	5	ejpam	ejpam	VERB
ejpam-1515	18	6	all	all	DET
ejpam-1515	18	7	rights	right	NOUN
ejpam-1515	18	8	reserved	reserve	VERB
ejpam-1515	18	9	.	.	PUNCT
ejpam-1515	19	1	c.	c.	PROPN
ejpam-1515	19	2	linton	linton	PROPN
ejpam-1515	19	3	,	,	PUNCT
ejpam-1515	19	4	w.	w.	PROPN
ejpam-1515	19	5	holderbaum	holderbaum	PROPN
ejpam-1515	19	6	,	,	PUNCT
ejpam-1515	19	7	j.	j.	PROPN
ejpam-1515	19	8	biggs	biggs	PROPN
ejpam-1515	19	9	/	/	SYM
ejpam-1515	19	10	eur	eur	PROPN
ejpam-1515	19	11	.	.	PUNCT
ejpam-1515	20	1	j.	j.	PROPN
ejpam-1515	20	2	pure	pure	PROPN
ejpam-1515	20	3	appl	appl	PROPN
ejpam-1515	20	4	.	.	PROPN
ejpam-1515	20	5	math	math	PROPN
ejpam-1515	20	6	,	,	PUNCT
ejpam-1515	20	7	5	5	NUM
ejpam-1515	20	8	(	(	PUNCT
ejpam-1515	20	9	2012	2012	NUM
ejpam-1515	20	10	)	)	PUNCT
ejpam-1515	20	11	,	,	PUNCT
ejpam-1515	20	12	567	567	NUM
ejpam-1515	20	13	-	-	SYM
ejpam-1515	20	14	583	583	NUM
ejpam-1515	20	15	568	568	NUM
ejpam-1515	20	16	for	for	ADP
ejpam-1515	20	17	a	a	DET
ejpam-1515	20	18	range	range	NOUN
ejpam-1515	20	19	of	of	ADP
ejpam-1515	20	20	low	low	ADJ
ejpam-1515	20	21	dimensional	dimensional	ADJ
ejpam-1515	20	22	lie	lie	NOUN
ejpam-1515	20	23	algebras	algebra	NOUN
ejpam-1515	20	24	,	,	PUNCT
ejpam-1515	20	25	the	the	DET
ejpam-1515	20	26	opportunity	opportunity	NOUN
ejpam-1515	20	27	is	be	AUX
ejpam-1515	20	28	taken	take	VERB
ejpam-1515	20	29	to	to	PART
ejpam-1515	20	30	list	list	VERB
ejpam-1515	20	31	possible	possible	ADJ
ejpam-1515	20	32	base	base	NOUN
ejpam-1515	20	33	matrices	matrix	NOUN
ejpam-1515	20	34	,	,	PUNCT
ejpam-1515	20	35	the	the	DET
ejpam-1515	20	36	structure	structure	NOUN
ejpam-1515	20	37	constants	constant	NOUN
ejpam-1515	20	38	and	and	CCONJ
ejpam-1515	20	39	casimir	casimir	NOUN
ejpam-1515	20	40	invariant	invariant	ADJ
ejpam-1515	20	41	functions	function	NOUN
ejpam-1515	20	42	.	.	PUNCT
ejpam-1515	21	1	the	the	DET
ejpam-1515	21	2	action	action	NOUN
ejpam-1515	21	3	of	of	ADP
ejpam-1515	21	4	the	the	DET
ejpam-1515	21	5	vector	vector	NOUN
ejpam-1515	21	6	field	field	NOUN
ejpam-1515	21	7	arising	arise	VERB
ejpam-1515	21	8	from	from	ADP
ejpam-1515	21	9	an	an	DET
ejpam-1515	21	10	invariant	invariant	ADJ
ejpam-1515	21	11	function	function	NOUN
ejpam-1515	21	12	c	c	NOUN
ejpam-1515	21	13	has	have	VERB
ejpam-1515	21	14	no	no	DET
ejpam-1515	21	15	effect	effect	NOUN
ejpam-1515	21	16	and	and	CCONJ
ejpam-1515	21	17	is	be	AUX
ejpam-1515	21	18	known	know	VERB
ejpam-1515	21	19	as	as	ADP
ejpam-1515	21	20	a	a	DET
ejpam-1515	21	21	lax	lax	ADJ
ejpam-1515	21	22	operator	operator	NOUN
ejpam-1515	21	23	l.	l.	NOUN
ejpam-1515	21	24	the	the	DET
ejpam-1515	21	25	action	action	NOUN
ejpam-1515	21	26	of	of	ADP
ejpam-1515	21	27	l	l	NOUN
ejpam-1515	21	28	and	and	CCONJ
ejpam-1515	21	29	any	any	DET
ejpam-1515	21	30	vector	vector	NOUN
ejpam-1515	21	31	field	field	NOUN
ejpam-1515	21	32	x	x	PUNCT
ejpam-1515	21	33	is	be	AUX
ejpam-1515	21	34	associative	associative	ADJ
ejpam-1515	21	35	(	(	PUNCT
ejpam-1515	21	36	the	the	DET
ejpam-1515	21	37	order	order	NOUN
ejpam-1515	21	38	is	be	AUX
ejpam-1515	21	39	irrelevant	irrelevant	ADJ
ejpam-1515	21	40	)	)	PUNCT
ejpam-1515	21	41	and	and	CCONJ
ejpam-1515	21	42	the	the	DET
ejpam-1515	21	43	equation	equation	NOUN
ejpam-1515	21	44	[	[	X
ejpam-1515	21	45	l	l	NOUN
ejpam-1515	21	46	,	,	PUNCT
ejpam-1515	21	47	x	x	X
ejpam-1515	21	48	]	]	X
ejpam-1515	21	49	=	=	SYM
ejpam-1515	21	50	0	0	NUM
ejpam-1515	21	51	is	be	AUX
ejpam-1515	21	52	often	often	ADV
ejpam-1515	21	53	used	use	VERB
ejpam-1515	21	54	to	to	PART
ejpam-1515	21	55	incorporate	incorporate	VERB
ejpam-1515	21	56	the	the	DET
ejpam-1515	21	57	geometric	geometric	ADJ
ejpam-1515	21	58	constraints	constraint	NOUN
ejpam-1515	21	59	into	into	ADP
ejpam-1515	21	60	the	the	DET
ejpam-1515	21	61	mathematical	mathematical	ADJ
ejpam-1515	21	62	system	system	NOUN
ejpam-1515	21	63	.	.	PUNCT
ejpam-1515	22	1	a	a	DET
ejpam-1515	22	2	mapping	mapping	NOUN
ejpam-1515	22	3	is	be	AUX
ejpam-1515	22	4	identified	identify	VERB
ejpam-1515	22	5	which	which	PRON
ejpam-1515	22	6	enables	enable	VERB
ejpam-1515	22	7	a	a	DET
ejpam-1515	22	8	lax	lax	ADJ
ejpam-1515	22	9	operator	operator	NOUN
ejpam-1515	22	10	l	l	NOUN
ejpam-1515	22	11	to	to	PART
ejpam-1515	22	12	be	be	AUX
ejpam-1515	22	13	found	find	VERB
ejpam-1515	22	14	from	from	ADP
ejpam-1515	22	15	any	any	DET
ejpam-1515	22	16	casimir	casimir	NOUN
ejpam-1515	22	17	functions	function	NOUN
ejpam-1515	22	18	c	c	PROPN
ejpam-1515	22	19	for	for	ADP
ejpam-1515	22	20	matrix	matrix	NOUN
ejpam-1515	22	21	lie	lie	NOUN
ejpam-1515	22	22	groups	group	NOUN
ejpam-1515	22	23	,	,	PUNCT
ejpam-1515	22	24	through	through	ADP
ejpam-1515	22	25	the	the	DET
ejpam-1515	22	26	action	action	NOUN
ejpam-1515	22	27	of	of	ADP
ejpam-1515	22	28	the	the	DET
ejpam-1515	22	29	gradient	gradient	NOUN
ejpam-1515	22	30	l	l	NOUN
ejpam-1515	22	31	=	=	PUNCT
ejpam-1515	22	32	∑	∑	SYM
ejpam-1515	22	33	∂	∂	PROPN
ejpam-1515	22	34	c	c	PROPN
ejpam-1515	22	35	∂	∂	NOUN
ejpam-1515	22	36	pi	pi	NOUN
ejpam-1515	22	37	ei	ei	X
ejpam-1515	23	1	=	=	PUNCT
ejpam-1515	23	2	∇c	∇c	VERB
ejpam-1515	23	3	the	the	DET
ejpam-1515	23	4	novelty	novelty	NOUN
ejpam-1515	23	5	of	of	ADP
ejpam-1515	23	6	the	the	DET
ejpam-1515	23	7	paper	paper	NOUN
ejpam-1515	23	8	is	be	AUX
ejpam-1515	23	9	in	in	ADP
ejpam-1515	23	10	providing	provide	VERB
ejpam-1515	23	11	this	this	DET
ejpam-1515	23	12	simple	simple	ADJ
ejpam-1515	23	13	mapping	mapping	NOUN
ejpam-1515	23	14	from	from	ADP
ejpam-1515	23	15	casimir	casimir	PROPN
ejpam-1515	23	16	function	function	PROPN
ejpam-1515	23	17	c	c	PROPN
ejpam-1515	23	18	to	to	ADP
ejpam-1515	23	19	lax	lax	ADJ
ejpam-1515	23	20	operator	operator	NOUN
ejpam-1515	23	21	l.	l.	PROPN
ejpam-1515	23	22	the	the	DET
ejpam-1515	23	23	casimir	casimir	NOUN
ejpam-1515	23	24	functions	function	NOUN
ejpam-1515	23	25	,	,	PUNCT
ejpam-1515	23	26	equations	equation	NOUN
ejpam-1515	23	27	of	of	ADP
ejpam-1515	23	28	motion	motion	NOUN
ejpam-1515	23	29	and	and	CCONJ
ejpam-1515	23	30	lax	lax	ADJ
ejpam-1515	23	31	operators	operator	NOUN
ejpam-1515	23	32	are	be	AUX
ejpam-1515	23	33	the	the	DET
ejpam-1515	23	34	foundations	foundation	NOUN
ejpam-1515	23	35	of	of	ADP
ejpam-1515	23	36	the	the	DET
ejpam-1515	23	37	method	method	NOUN
ejpam-1515	23	38	used	use	VERB
ejpam-1515	23	39	to	to	PART
ejpam-1515	23	40	determine	determine	VERB
ejpam-1515	23	41	trajectories	trajectory	NOUN
ejpam-1515	23	42	by	by	ADP
ejpam-1515	23	43	jurdjevic	jurdjevic	PROPN
ejpam-1515	23	44	[	[	X
ejpam-1515	23	45	11	11	NUM
ejpam-1515	23	46	]	]	PUNCT
ejpam-1515	23	47	,	,	PUNCT
ejpam-1515	23	48	biggs	biggs	PROPN
ejpam-1515	24	1	[	[	X
ejpam-1515	24	2	3	3	NUM
ejpam-1515	24	3	]	]	PUNCT
ejpam-1515	24	4	and	and	CCONJ
ejpam-1515	24	5	abazari	abazari	ADJ
ejpam-1515	24	6	[	[	X
ejpam-1515	24	7	1	1	NUM
ejpam-1515	24	8	]	]	PUNCT
ejpam-1515	24	9	.	.	PUNCT
ejpam-1515	25	1	2	2	X
ejpam-1515	25	2	.	.	X
ejpam-1515	25	3	lie	lie	NOUN
ejpam-1515	25	4	theory	theory	NOUN
ejpam-1515	25	5	and	and	CCONJ
ejpam-1515	25	6	vector	vector	NOUN
ejpam-1515	25	7	spaces	space	NOUN
ejpam-1515	25	8	in	in	ADP
ejpam-1515	25	9	this	this	DET
ejpam-1515	25	10	section	section	NOUN
ejpam-1515	25	11	,	,	PUNCT
ejpam-1515	25	12	lie	lie	NOUN
ejpam-1515	25	13	theory	theory	NOUN
ejpam-1515	25	14	and	and	CCONJ
ejpam-1515	25	15	vector	vector	NOUN
ejpam-1515	25	16	spaces	space	NOUN
ejpam-1515	25	17	are	be	AUX
ejpam-1515	25	18	described	describe	VERB
ejpam-1515	25	19	very	very	ADV
ejpam-1515	25	20	briefly	briefly	ADV
ejpam-1515	25	21	to	to	PART
ejpam-1515	25	22	introduce	introduce	VERB
ejpam-1515	25	23	some	some	DET
ejpam-1515	25	24	elementary	elementary	ADJ
ejpam-1515	25	25	ideas	idea	NOUN
ejpam-1515	25	26	and	and	CCONJ
ejpam-1515	25	27	the	the	DET
ejpam-1515	25	28	notation	notation	NOUN
ejpam-1515	25	29	.	.	PUNCT
ejpam-1515	26	1	a	a	DET
ejpam-1515	26	2	fuller	full	ADJ
ejpam-1515	26	3	explanation	explanation	NOUN
ejpam-1515	26	4	of	of	ADP
ejpam-1515	26	5	lie	lie	NOUN
ejpam-1515	26	6	theory	theory	NOUN
ejpam-1515	26	7	is	be	AUX
ejpam-1515	26	8	given	give	VERB
ejpam-1515	26	9	in	in	ADP
ejpam-1515	26	10	many	many	ADJ
ejpam-1515	26	11	text	text	NOUN
ejpam-1515	26	12	books	book	NOUN
ejpam-1515	26	13	such	such	ADJ
ejpam-1515	26	14	as	as	ADP
ejpam-1515	26	15	[	[	X
ejpam-1515	26	16	8	8	NUM
ejpam-1515	26	17	]	]	PUNCT
ejpam-1515	26	18	,	,	PUNCT
ejpam-1515	26	19	while	while	SCONJ
ejpam-1515	26	20	[	[	X
ejpam-1515	26	21	5	5	NUM
ejpam-1515	26	22	]	]	PUNCT
ejpam-1515	26	23	covers	cover	VERB
ejpam-1515	26	24	the	the	DET
ejpam-1515	26	25	lie	lie	NOUN
ejpam-1515	26	26	algebra	algebra	NOUN
ejpam-1515	26	27	and	and	CCONJ
ejpam-1515	26	28	lie	lie	VERB
ejpam-1515	26	29	bracket	bracket	NOUN
ejpam-1515	26	30	.	.	PUNCT
ejpam-1515	27	1	the	the	DET
ejpam-1515	27	2	rotation	rotation	NOUN
ejpam-1515	27	3	group	group	NOUN
ejpam-1515	27	4	in	in	ADP
ejpam-1515	27	5	3	3	NUM
ejpam-1515	27	6	dimensions	dimension	NOUN
ejpam-1515	27	7	so	so	CCONJ
ejpam-1515	27	8	(	(	PUNCT
ejpam-1515	27	9	3	3	X
ejpam-1515	27	10	)	)	PUNCT
ejpam-1515	27	11	will	will	AUX
ejpam-1515	27	12	be	be	AUX
ejpam-1515	27	13	used	use	VERB
ejpam-1515	27	14	to	to	PART
ejpam-1515	27	15	provide	provide	VERB
ejpam-1515	27	16	examples	example	NOUN
ejpam-1515	27	17	throughout	throughout	ADP
ejpam-1515	27	18	the	the	DET
ejpam-1515	27	19	paper	paper	NOUN
ejpam-1515	27	20	.	.	PUNCT
ejpam-1515	28	1	other	other	ADJ
ejpam-1515	28	2	lie	lie	NOUN
ejpam-1515	28	3	groups	group	NOUN
ejpam-1515	28	4	are	be	AUX
ejpam-1515	28	5	included	include	VERB
ejpam-1515	28	6	in	in	ADP
ejpam-1515	28	7	the	the	DET
ejpam-1515	28	8	appendix	appendix	NOUN
ejpam-1515	28	9	.	.	PUNCT
ejpam-1515	29	1	a	a	DET
ejpam-1515	29	2	matrix	matrix	NOUN
ejpam-1515	29	3	lie	lie	NOUN
ejpam-1515	29	4	group	group	NOUN
ejpam-1515	29	5	g	g	PROPN
ejpam-1515	29	6	is	be	AUX
ejpam-1515	29	7	a	a	DET
ejpam-1515	29	8	set	set	NOUN
ejpam-1515	29	9	of	of	ADP
ejpam-1515	29	10	matrices	matrix	NOUN
ejpam-1515	29	11	that	that	PRON
ejpam-1515	29	12	can	can	AUX
ejpam-1515	29	13	represent	represent	VERB
ejpam-1515	29	14	a	a	DET
ejpam-1515	29	15	configuration	configuration	NOUN
ejpam-1515	29	16	(	(	PUNCT
ejpam-1515	29	17	a	a	DET
ejpam-1515	29	18	position	position	NOUN
ejpam-1515	29	19	within	within	ADP
ejpam-1515	29	20	the	the	DET
ejpam-1515	29	21	group	group	NOUN
ejpam-1515	29	22	)	)	PUNCT
ejpam-1515	29	23	.	.	PUNCT
ejpam-1515	30	1	for	for	ADP
ejpam-1515	30	2	example	example	NOUN
ejpam-1515	30	3	,	,	PUNCT
ejpam-1515	30	4	a	a	DET
ejpam-1515	30	5	configuration	configuration	NOUN
ejpam-1515	30	6	in	in	ADP
ejpam-1515	30	7	so	so	ADV
ejpam-1515	30	8	(	(	PUNCT
ejpam-1515	30	9	3	3	X
ejpam-1515	30	10	)	)	PUNCT
ejpam-1515	30	11	is	be	AUX
ejpam-1515	30	12	given	give	VERB
ejpam-1515	30	13	by	by	ADP
ejpam-1515	30	14	3	3	NUM
ejpam-1515	30	15	rotations	rotation	NOUN
ejpam-1515	30	16	�	�	PROPN
ejpam-1515	30	17	θi	θi	ADP
ejpam-1515	30	18	for	for	ADP
ejpam-1515	30	19	i	i	PROPN
ejpam-1515	30	20	∈	∈	PROPN
ejpam-1515	30	21	{	{	PUNCT
ejpam-1515	30	22	1,2,3	1,2,3	NOUN
ejpam-1515	30	23	}	}	PUNCT
ejpam-1515	30	24	about	about	ADV
ejpam-1515	30	25	3	3	NUM
ejpam-1515	30	26	orthogonal	orthogonal	ADJ
ejpam-1515	30	27	axes	axis	NOUN
ejpam-1515	30	28	as	as	ADP
ejpam-1515	30	29	g	g	PROPN
ejpam-1515	30	30	=	=	PUNCT
ejpam-1515	30	31	exp	exp	NOUN
ejpam-1515	30	32			NOUN
ejpam-1515	30	33			NOUN
ejpam-1515	30	34			NOUN
ejpam-1515	30	35	0	0	NUM
ejpam-1515	31	1	−θ3	−θ3	PROPN
ejpam-1515	31	2	θ2	θ2	PROPN
ejpam-1515	31	3	θ3	θ3	PROPN
ejpam-1515	31	4	0	0	PROPN
ejpam-1515	31	5	−θ1	−θ1	PROPN
ejpam-1515	31	6	−θ2	−θ2	PROPN
ejpam-1515	31	7	θ1	θ1	NOUN
ejpam-1515	31	8	0	0	NUM
ejpam-1515	31	9			PROPN
ejpam-1515	31	10			PROPN
ejpam-1515	31	11			PROPN
ejpam-1515	31	12	the	the	DET
ejpam-1515	31	13	matrix	matrix	NOUN
ejpam-1515	31	14	exponential	exponential	NOUN
ejpam-1515	31	15	function	function	NOUN
ejpam-1515	31	16	is	be	AUX
ejpam-1515	31	17	similar	similar	ADJ
ejpam-1515	31	18	to	to	ADP
ejpam-1515	31	19	the	the	DET
ejpam-1515	31	20	scalar	scalar	ADJ
ejpam-1515	31	21	function	function	NOUN
ejpam-1515	31	22	but	but	CCONJ
ejpam-1515	31	23	exp	exp	NOUN
ejpam-1515	31	24	(	(	PUNCT
ejpam-1515	31	25	x	x	PROPN
ejpam-1515	31	26	+	+	NUM
ejpam-1515	31	27	y	y	PROPN
ejpam-1515	31	28	)	)	PUNCT
ejpam-1515	31	29	6=	6=	ADP
ejpam-1515	31	30	exp	exp	X
ejpam-1515	31	31	(	(	PUNCT
ejpam-1515	31	32	x	x	NOUN
ejpam-1515	31	33	)	)	PUNCT
ejpam-1515	31	34	exp	exp	NOUN
ejpam-1515	31	35	(	(	PUNCT
ejpam-1515	31	36	y	y	PROPN
ejpam-1515	31	37	)	)	PUNCT
ejpam-1515	31	38	in	in	ADP
ejpam-1515	31	39	most	most	ADJ
ejpam-1515	31	40	cases	case	NOUN
ejpam-1515	31	41	because	because	SCONJ
ejpam-1515	31	42	matrix	matrix	NOUN
ejpam-1515	31	43	multiplication	multiplication	NOUN
ejpam-1515	31	44	is	be	AUX
ejpam-1515	31	45	not	not	PART
ejpam-1515	31	46	associative	associative	ADJ
ejpam-1515	31	47	.	.	PUNCT
ejpam-1515	32	1	a	a	DET
ejpam-1515	32	2	one	one	NUM
ejpam-1515	32	3	-	-	PUNCT
ejpam-1515	32	4	parameter	parameter	NOUN
ejpam-1515	32	5	subgroup	subgroup	NOUN
ejpam-1515	32	6	of	of	ADP
ejpam-1515	32	7	the	the	DET
ejpam-1515	32	8	group	group	NOUN
ejpam-1515	32	9	represents	represent	VERB
ejpam-1515	32	10	a	a	DET
ejpam-1515	32	11	trajectory	trajectory	NOUN
ejpam-1515	32	12	.	.	PUNCT
ejpam-1515	33	1	a	a	DET
ejpam-1515	33	2	trajectory	trajectory	NOUN
ejpam-1515	33	3	is	be	AUX
ejpam-1515	33	4	given	give	VERB
ejpam-1515	33	5	by	by	ADP
ejpam-1515	33	6	a	a	DET
ejpam-1515	33	7	function	function	NOUN
ejpam-1515	33	8	g	g	NOUN
ejpam-1515	33	9	:	:	PUNCT
ejpam-1515	34	1	r→	r→	PROPN
ejpam-1515	34	2	g	g	NOUN
ejpam-1515	34	3	where	where	SCONJ
ejpam-1515	34	4	g	g	PROPN
ejpam-1515	34	5	is	be	AUX
ejpam-1515	34	6	continuous	continuous	ADJ
ejpam-1515	34	7	,	,	PUNCT
ejpam-1515	34	8	g	g	PROPN
ejpam-1515	34	9	(	(	PUNCT
ejpam-1515	34	10	0	0	NUM
ejpam-1515	34	11	)	)	PUNCT
ejpam-1515	35	1	=	=	PRON
ejpam-1515	36	1	i	i	PRON
ejpam-1515	36	2	the	the	DET
ejpam-1515	36	3	identity	identity	NOUN
ejpam-1515	36	4	matrix	matrix	NOUN
ejpam-1515	36	5	and	and	CCONJ
ejpam-1515	36	6	g	g	PROPN
ejpam-1515	36	7	(	(	PUNCT
ejpam-1515	36	8	s+	s+	PROPN
ejpam-1515	36	9	t	t	PROPN
ejpam-1515	36	10	)	)	PUNCT
ejpam-1515	37	1	=	=	SYM
ejpam-1515	37	2	g	g	PROPN
ejpam-1515	37	3	(	(	PUNCT
ejpam-1515	37	4	s	s	NOUN
ejpam-1515	37	5	)	)	PUNCT
ejpam-1515	37	6	g	g	PROPN
ejpam-1515	37	7	(	(	PUNCT
ejpam-1515	37	8	t	t	PROPN
ejpam-1515	37	9	)	)	PUNCT
ejpam-1515	37	10	.	.	PUNCT
ejpam-1515	38	1	for	for	ADP
ejpam-1515	38	2	each	each	DET
ejpam-1515	38	3	such	such	ADJ
ejpam-1515	38	4	g	g	PROPN
ejpam-1515	38	5	(	(	PUNCT
ejpam-1515	38	6	t	t	PROPN
ejpam-1515	38	7	)	)	PUNCT
ejpam-1515	38	8	,	,	PUNCT
ejpam-1515	38	9	there	there	PRON
ejpam-1515	38	10	is	be	VERB
ejpam-1515	38	11	a	a	DET
ejpam-1515	38	12	unique	unique	ADJ
ejpam-1515	38	13	matrix	matrix	NOUN
ejpam-1515	38	14	x	x	ADP
ejpam-1515	38	15	such	such	ADJ
ejpam-1515	38	16	that	that	PRON
ejpam-1515	38	17	g	g	PROPN
ejpam-1515	38	18	(	(	PUNCT
ejpam-1515	38	19	t	t	PROPN
ejpam-1515	38	20	)	)	PUNCT
ejpam-1515	38	21	=	=	NOUN
ejpam-1515	38	22	exp	exp	NOUN
ejpam-1515	38	23	(	(	PUNCT
ejpam-1515	38	24	x	x	PROPN
ejpam-1515	38	25	t	t	PROPN
ejpam-1515	38	26	)	)	PUNCT
ejpam-1515	38	27	.	.	PUNCT
ejpam-1515	39	1	differentiating	differentiate	VERB
ejpam-1515	39	2	this	this	PRON
ejpam-1515	39	3	gives	give	VERB
ejpam-1515	39	4	the	the	DET
ejpam-1515	39	5	same	same	ADJ
ejpam-1515	39	6	result	result	NOUN
ejpam-1515	39	7	as	as	ADP
ejpam-1515	39	8	differentiating	differentiate	VERB
ejpam-1515	39	9	the	the	DET
ejpam-1515	39	10	scalar	scalar	ADJ
ejpam-1515	39	11	exponential	exponential	ADJ
ejpam-1515	39	12	function	function	NOUN
ejpam-1515	39	13	g−1	g−1	PROPN
ejpam-1515	39	14	(	(	PUNCT
ejpam-1515	39	15	t	t	NOUN
ejpam-1515	39	16	)	)	PUNCT
ejpam-1515	39	17	d	d	NOUN
ejpam-1515	39	18	g	g	PROPN
ejpam-1515	39	19	d	d	PROPN
ejpam-1515	39	20	t	t	PROPN
ejpam-1515	39	21	(	(	PUNCT
ejpam-1515	39	22	t	t	PROPN
ejpam-1515	39	23	)	)	PUNCT
ejpam-1515	39	24	=	=	SYM
ejpam-1515	40	1	x	x	X
ejpam-1515	40	2	(	(	PUNCT
ejpam-1515	40	3	1	1	NUM
ejpam-1515	40	4	)	)	PUNCT
ejpam-1515	40	5	x	x	X
ejpam-1515	40	6	is	be	AUX
ejpam-1515	40	7	the	the	DET
ejpam-1515	40	8	tangent	tangent	ADJ
ejpam-1515	40	9	matrix	matrix	NOUN
ejpam-1515	40	10	at	at	ADP
ejpam-1515	40	11	the	the	DET
ejpam-1515	40	12	origin	origin	NOUN
ejpam-1515	40	13	,	,	PUNCT
ejpam-1515	40	14	having	having	AUX
ejpam-1515	40	15	been	be	AUX
ejpam-1515	40	16	pulled	pull	VERB
ejpam-1515	40	17	back	back	ADV
ejpam-1515	40	18	to	to	ADP
ejpam-1515	40	19	the	the	DET
ejpam-1515	40	20	origin	origin	NOUN
ejpam-1515	40	21	by	by	ADP
ejpam-1515	40	22	the	the	DET
ejpam-1515	40	23	action	action	NOUN
ejpam-1515	40	24	of	of	ADP
ejpam-1515	40	25	g−1	g−1	PROPN
ejpam-1515	40	26	.	.	PUNCT
ejpam-1515	41	1	a	a	DET
ejpam-1515	41	2	lie	lie	NOUN
ejpam-1515	41	3	algebra	algebra	NOUN
ejpam-1515	41	4	g	g	PROPN
ejpam-1515	41	5	is	be	AUX
ejpam-1515	41	6	the	the	DET
ejpam-1515	41	7	set	set	NOUN
ejpam-1515	41	8	of	of	ADP
ejpam-1515	41	9	all	all	DET
ejpam-1515	41	10	matrices	matrix	NOUN
ejpam-1515	41	11	x	x	NOUN
ejpam-1515	41	12	such	such	ADJ
ejpam-1515	41	13	that	that	DET
ejpam-1515	41	14	exp	exp	NOUN
ejpam-1515	41	15	(	(	PUNCT
ejpam-1515	41	16	x	x	PROPN
ejpam-1515	41	17	t	t	PROPN
ejpam-1515	41	18	)	)	PUNCT
ejpam-1515	41	19	∈	∈	PROPN
ejpam-1515	41	20	g	g	NOUN
ejpam-1515	41	21	for	for	ADP
ejpam-1515	41	22	all	all	DET
ejpam-1515	41	23	t.	t.	NOUN
ejpam-1515	41	24	this	this	PRON
ejpam-1515	41	25	is	be	AUX
ejpam-1515	41	26	a	a	DET
ejpam-1515	41	27	vector	vector	NOUN
ejpam-1515	41	28	space	space	NOUN
ejpam-1515	41	29	with	with	ADP
ejpam-1515	41	30	the	the	DET
ejpam-1515	41	31	lie	lie	NOUN
ejpam-1515	41	32	bracket	bracket	NOUN
ejpam-1515	41	33	to	to	PART
ejpam-1515	41	34	define	define	VERB
ejpam-1515	41	35	the	the	DET
ejpam-1515	41	36	action	action	NOUN
ejpam-1515	41	37	of	of	ADP
ejpam-1515	41	38	one	one	NUM
ejpam-1515	41	39	element	element	NOUN
ejpam-1515	41	40	on	on	ADP
ejpam-1515	41	41	another	another	PRON
ejpam-1515	41	42	as	as	ADP
ejpam-1515	41	43	in	in	ADP
ejpam-1515	41	44	[	[	X
ejpam-1515	41	45	x	x	X
ejpam-1515	41	46	,	,	PUNCT
ejpam-1515	41	47	y	y	PROPN
ejpam-1515	41	48	]	]	PUNCT
ejpam-1515	42	1	=	=	PUNCT
ejpam-1515	42	2	x	x	PUNCT
ejpam-1515	42	3	y	y	NOUN
ejpam-1515	42	4	−	−	NOUN
ejpam-1515	42	5	y	y	PROPN
ejpam-1515	42	6	x	x	X
ejpam-1515	42	7	(	(	PUNCT
ejpam-1515	42	8	2	2	NUM
ejpam-1515	42	9	)	)	PUNCT
ejpam-1515	42	10	c.	c.	PROPN
ejpam-1515	42	11	linton	linton	PROPN
ejpam-1515	42	12	,	,	PUNCT
ejpam-1515	42	13	w.	w.	PROPN
ejpam-1515	42	14	holderbaum	holderbaum	PROPN
ejpam-1515	42	15	,	,	PUNCT
ejpam-1515	42	16	j.	j.	PROPN
ejpam-1515	42	17	biggs	biggs	PROPN
ejpam-1515	42	18	/	/	SYM
ejpam-1515	42	19	eur	eur	PROPN
ejpam-1515	42	20	.	.	PUNCT
ejpam-1515	43	1	j.	j.	PROPN
ejpam-1515	43	2	pure	pure	PROPN
ejpam-1515	43	3	appl	appl	PROPN
ejpam-1515	43	4	.	.	PROPN
ejpam-1515	43	5	math	math	PROPN
ejpam-1515	43	6	,	,	PUNCT
ejpam-1515	43	7	5	5	NUM
ejpam-1515	43	8	(	(	PUNCT
ejpam-1515	43	9	2012	2012	NUM
ejpam-1515	43	10	)	)	PUNCT
ejpam-1515	43	11	,	,	PUNCT
ejpam-1515	43	12	567	567	NUM
ejpam-1515	43	13	-	-	SYM
ejpam-1515	43	14	583	583	NUM
ejpam-1515	43	15	569	569	NUM
ejpam-1515	43	16	the	the	DET
ejpam-1515	43	17	lie	lie	NOUN
ejpam-1515	43	18	bracket	bracket	NOUN
ejpam-1515	43	19	is	be	AUX
ejpam-1515	43	20	antisymmetric	antisymmetric	ADJ
ejpam-1515	43	21	,	,	PUNCT
ejpam-1515	43	22	bi	bi	NOUN
ejpam-1515	43	23	-	-	ADJ
ejpam-1515	43	24	linear	linear	NOUN
ejpam-1515	43	25	and	and	CCONJ
ejpam-1515	43	26	satisfies	satisfy	VERB
ejpam-1515	43	27	the	the	DET
ejpam-1515	43	28	jacobi	jacobi	PROPN
ejpam-1515	43	29	identity	identity	NOUN
ejpam-1515	43	30	.	.	PUNCT
ejpam-1515	44	1	elements	element	NOUN
ejpam-1515	44	2	of	of	ADP
ejpam-1515	44	3	a	a	DET
ejpam-1515	44	4	vector	vector	NOUN
ejpam-1515	44	5	space	space	NOUN
ejpam-1515	44	6	can	can	AUX
ejpam-1515	44	7	always	always	ADV
ejpam-1515	44	8	be	be	AUX
ejpam-1515	44	9	written	write	VERB
ejpam-1515	44	10	in	in	ADP
ejpam-1515	44	11	component	component	NOUN
ejpam-1515	44	12	form	form	NOUN
ejpam-1515	44	13	as	as	ADP
ejpam-1515	44	14	v	v	NOUN
ejpam-1515	44	15	=	=	PUNCT
ejpam-1515	44	16	∑	∑	PROPN
ejpam-1515	44	17	i	i	PRON
ejpam-1515	44	18	viei	viei	VERB
ejpam-1515	44	19	where	where	SCONJ
ejpam-1515	44	20	�	�	PROPN
ejpam-1515	44	21	ei	ei	PROPN
ejpam-1515	44	22	is	be	AUX
ejpam-1515	44	23	the	the	DET
ejpam-1515	44	24	set	set	NOUN
ejpam-1515	44	25	of	of	ADP
ejpam-1515	44	26	base	base	NOUN
ejpam-1515	44	27	matrices	matrix	NOUN
ejpam-1515	44	28	and	and	CCONJ
ejpam-1515	44	29	�	�	PROPN
ejpam-1515	44	30	vi	vi	PROPN
ejpam-1515	44	31	are	be	AUX
ejpam-1515	44	32	the	the	DET
ejpam-1515	44	33	components	component	NOUN
ejpam-1515	44	34	.	.	PUNCT
ejpam-1515	45	1	since	since	SCONJ
ejpam-1515	45	2	the	the	DET
ejpam-1515	45	3	lie	lie	NOUN
ejpam-1515	45	4	bracket	bracket	NOUN
ejpam-1515	45	5	is	be	AUX
ejpam-1515	45	6	bi	bi	NOUN
ejpam-1515	45	7	-	-	ADJ
ejpam-1515	45	8	linear	linear	ADJ
ejpam-1515	45	9	,	,	PUNCT
ejpam-1515	45	10	in	in	ADP
ejpam-1515	45	11	component	component	NOUN
ejpam-1515	45	12	form	form	NOUN
ejpam-1515	45	13	it	it	PRON
ejpam-1515	45	14	becomes	become	VERB
ejpam-1515	45	15	�	�	PROPN
ejpam-1515	45	16	viei	viei	PROPN
ejpam-1515	45	17	,	,	PUNCT
ejpam-1515	45	18	x	x	PROPN
ejpam-1515	45	19	je	je	PROPN
ejpam-1515	45	20	j	j	PROPN
ejpam-1515	45	21	�	�	PROPN
ejpam-1515	45	22	=	=	SYM
ejpam-1515	45	23	vi	vi	PROPN
ejpam-1515	45	24	x	x	SYM
ejpam-1515	45	25	j	j	PROPN
ejpam-1515	45	26	�	�	PROPN
ejpam-1515	45	27	ei	ei	PROPN
ejpam-1515	45	28	,	,	PUNCT
ejpam-1515	45	29	e	e	PROPN
ejpam-1515	45	30	j	j	PROPN
ejpam-1515	45	31	�	�	PROPN
ejpam-1515	45	32	the	the	DET
ejpam-1515	45	33	structure	structure	NOUN
ejpam-1515	45	34	of	of	ADP
ejpam-1515	45	35	the	the	DET
ejpam-1515	45	36	lie	lie	NOUN
ejpam-1515	45	37	algebra	algebra	NOUN
ejpam-1515	45	38	determines	determine	VERB
ejpam-1515	45	39	how	how	SCONJ
ejpam-1515	45	40	vectors	vector	NOUN
ejpam-1515	45	41	interact	interact	VERB
ejpam-1515	45	42	and	and	CCONJ
ejpam-1515	45	43	can	can	AUX
ejpam-1515	45	44	be	be	AUX
ejpam-1515	45	45	expressed	express	VERB
ejpam-1515	45	46	through	through	ADP
ejpam-1515	45	47	the	the	DET
ejpam-1515	45	48	lie	lie	NOUN
ejpam-1515	45	49	bracket	bracket	NOUN
ejpam-1515	45	50	as	as	ADP
ejpam-1515	45	51	�	�	PROPN
ejpam-1515	45	52	ei	ei	PROPN
ejpam-1515	45	53	,	,	PUNCT
ejpam-1515	45	54	e	e	PROPN
ejpam-1515	45	55	j	j	PROPN
ejpam-1515	45	56	�	�	PROPN
ejpam-1515	46	1	=	=	PUNCT
ejpam-1515	46	2	ck	ck	INTJ
ejpam-1515	47	1	i	i	PRON
ejpam-1515	47	2	jek	jek	PROPN
ejpam-1515	47	3	(	(	PUNCT
ejpam-1515	47	4	3	3	X
ejpam-1515	47	5	)	)	PUNCT
ejpam-1515	47	6	the	the	DET
ejpam-1515	47	7	einstein	einstein	PROPN
ejpam-1515	47	8	convention	convention	PROPN
ejpam-1515	47	9	on	on	ADP
ejpam-1515	47	10	summation	summation	NOUN
ejpam-1515	47	11	and	and	CCONJ
ejpam-1515	47	12	range	range	NOUN
ejpam-1515	47	13	is	be	AUX
ejpam-1515	47	14	used	use	VERB
ejpam-1515	47	15	,	,	PUNCT
ejpam-1515	47	16	so	so	SCONJ
ejpam-1515	47	17	that	that	SCONJ
ejpam-1515	47	18	the	the	DET
ejpam-1515	47	19	expression	expression	NOUN
ejpam-1515	47	20	on	on	ADP
ejpam-1515	47	21	the	the	DET
ejpam-1515	47	22	right	right	NOUN
ejpam-1515	47	23	is	be	AUX
ejpam-1515	47	24	summed	sum	VERB
ejpam-1515	47	25	over	over	ADP
ejpam-1515	47	26	all	all	DET
ejpam-1515	47	27	k	k	NOUN
ejpam-1515	47	28	,	,	PUNCT
ejpam-1515	47	29	and	and	CCONJ
ejpam-1515	47	30	the	the	DET
ejpam-1515	47	31	equation	equation	NOUN
ejpam-1515	47	32	applies	apply	VERB
ejpam-1515	47	33	to	to	ADP
ejpam-1515	47	34	all	all	DET
ejpam-1515	47	35	combinations	combination	NOUN
ejpam-1515	47	36	of	of	ADP
ejpam-1515	47	37	i	i	PRON
ejpam-1515	47	38	and	and	CCONJ
ejpam-1515	47	39	j.	j.	PROPN
ejpam-1515	47	40	the	the	DET
ejpam-1515	47	41	dual	dual	ADJ
ejpam-1515	47	42	of	of	ADP
ejpam-1515	47	43	the	the	DET
ejpam-1515	47	44	lie	lie	NOUN
ejpam-1515	47	45	algebra	algebra	NOUN
ejpam-1515	47	46	g∗	g∗	PROPN
ejpam-1515	47	47	is	be	AUX
ejpam-1515	47	48	the	the	DET
ejpam-1515	47	49	space	space	NOUN
ejpam-1515	47	50	of	of	ADP
ejpam-1515	47	51	co	co	NOUN
ejpam-1515	47	52	-	-	NOUN
ejpam-1515	47	53	vectors	vector	NOUN
ejpam-1515	47	54	v∗	v∗	VERB
ejpam-1515	48	1	so	so	SCONJ
ejpam-1515	48	2	that	that	SCONJ
ejpam-1515	48	3	v∗	v∗	NOUN
ejpam-1515	48	4	:	:	PUNCT
ejpam-1515	48	5	v	v	NOUN
ejpam-1515	48	6	→	→	SYM
ejpam-1515	48	7	f	f	PROPN
ejpam-1515	48	8	where	where	SCONJ
ejpam-1515	48	9	f	f	PROPN
ejpam-1515	48	10	∈	∈	PROPN
ejpam-1515	48	11	{	{	PUNCT
ejpam-1515	48	12	r	r	NOUN
ejpam-1515	48	13	,	,	PUNCT
ejpam-1515	48	14	c	c	NOUN
ejpam-1515	48	15	}	}	PUNCT
ejpam-1515	48	16	.	.	PUNCT
ejpam-1515	49	1	it	it	PRON
ejpam-1515	49	2	is	be	AUX
ejpam-1515	49	3	created	create	VERB
ejpam-1515	49	4	using	use	VERB
ejpam-1515	49	5	the	the	DET
ejpam-1515	49	6	identity	identity	NOUN
ejpam-1515	49	7	form	form	NOUN
ejpam-1515	49	8	which	which	PRON
ejpam-1515	49	9	is	be	AUX
ejpam-1515	49	10	a	a	DET
ejpam-1515	49	11	non	non	ADJ
ejpam-1515	49	12	-	-	ADJ
ejpam-1515	49	13	degenerate	degenerate	ADJ
ejpam-1515	49	14	bi	bi	ADJ
ejpam-1515	49	15	linear	linear	PROPN
ejpam-1515	49	16	symmetric	symmetric	ADJ
ejpam-1515	49	17	form	form	NOUN
ejpam-1515	49	18	so	so	SCONJ
ejpam-1515	49	19	that	that	SCONJ
ejpam-1515	49	20	iei	iei	PROPN
ejpam-1515	49	21	=	=	PROPN
ejpam-1515	49	22	ei	ei	PROPN
ejpam-1515	49	23	(	(	PUNCT
ejpam-1515	49	24	4	4	NUM
ejpam-1515	49	25	)	)	PUNCT
ejpam-1515	49	26	where	where	SCONJ
ejpam-1515	49	27	¦	¦	PROPN
ejpam-1515	49	28	ei	ei	X
ejpam-1515	49	29	©	©	PROPN
ejpam-1515	49	30	is	be	AUX
ejpam-1515	49	31	the	the	DET
ejpam-1515	49	32	set	set	NOUN
ejpam-1515	49	33	of	of	ADP
ejpam-1515	49	34	base	base	NOUN
ejpam-1515	49	35	matrices	matrix	NOUN
ejpam-1515	49	36	for	for	ADP
ejpam-1515	49	37	g∗	g∗	PROPN
ejpam-1515	49	38	and	and	CCONJ
ejpam-1515	49	39	i	i	PRON
ejpam-1515	49	40	is	be	AUX
ejpam-1515	49	41	the	the	DET
ejpam-1515	49	42	unit	unit	NOUN
ejpam-1515	49	43	matrix	matrix	NOUN
ejpam-1515	49	44	.	.	PUNCT
ejpam-1515	50	1	the	the	DET
ejpam-1515	50	2	base	base	ADJ
ejpam-1515	50	3	matrices	matrix	NOUN
ejpam-1515	50	4	of	of	ADP
ejpam-1515	50	5	the	the	DET
ejpam-1515	50	6	dual	dual	ADJ
ejpam-1515	50	7	algebra	algebra	NOUN
ejpam-1515	50	8	look	look	VERB
ejpam-1515	50	9	the	the	DET
ejpam-1515	50	10	same	same	ADJ
ejpam-1515	50	11	as	as	ADP
ejpam-1515	50	12	the	the	DET
ejpam-1515	50	13	lie	lie	NOUN
ejpam-1515	50	14	algebra	algebra	NOUN
ejpam-1515	50	15	basis	basis	NOUN
ejpam-1515	50	16	,	,	PUNCT
ejpam-1515	50	17	and	and	CCONJ
ejpam-1515	50	18	hence	hence	ADV
ejpam-1515	50	19	the	the	DET
ejpam-1515	50	20	structure	structure	NOUN
ejpam-1515	50	21	is	be	AUX
ejpam-1515	50	22	also	also	ADV
ejpam-1515	50	23	the	the	DET
ejpam-1515	50	24	same	same	ADJ
ejpam-1515	50	25	.	.	PUNCT
ejpam-1515	51	1	for	for	ADP
ejpam-1515	51	2	so	so	ADV
ejpam-1515	51	3	(	(	PUNCT
ejpam-1515	51	4	3	3	NUM
ejpam-1515	51	5	)	)	PUNCT
ejpam-1515	51	6	,	,	PUNCT
ejpam-1515	51	7	any	any	DET
ejpam-1515	51	8	tangent	tangent	NOUN
ejpam-1515	51	9	matrix	matrix	NOUN
ejpam-1515	51	10	can	can	AUX
ejpam-1515	51	11	be	be	AUX
ejpam-1515	51	12	written	write	VERB
ejpam-1515	51	13	as	as	ADP
ejpam-1515	51	14	v	v	NOUN
ejpam-1515	51	15	=	=	SYM
ejpam-1515	51	16	3	3	NUM
ejpam-1515	51	17	∑	∑	NOUN
ejpam-1515	51	18	i=1	i=1	PROPN
ejpam-1515	51	19	viei	viei	PROPN
ejpam-1515	51	20	=	=	PROPN
ejpam-1515	51	21			PROPN
ejpam-1515	51	22			ADJ
ejpam-1515	51	23			NOUN
ejpam-1515	51	24	0	0	PUNCT
ejpam-1515	52	1	−v3	−v3	PROPN
ejpam-1515	52	2	v2	v2	PROPN
ejpam-1515	52	3	v3	v3	PROPN
ejpam-1515	52	4	0	0	PUNCT
ejpam-1515	52	5	−v1	−v1	PROPN
ejpam-1515	52	6	−v2	−v2	PROPN
ejpam-1515	52	7	v1	v1	NOUN
ejpam-1515	52	8	0	0	PUNCT
ejpam-1515	52	9			PROPN
ejpam-1515	52	10			PROPN
ejpam-1515	52	11			PROPN
ejpam-1515	52	12	this	this	DET
ejpam-1515	52	13	expression	expression	NOUN
ejpam-1515	52	14	enables	enable	VERB
ejpam-1515	52	15	the	the	DET
ejpam-1515	52	16	base	base	ADJ
ejpam-1515	52	17	matrices	matrix	NOUN
ejpam-1515	52	18	of	of	ADP
ejpam-1515	52	19	so	so	ADV
ejpam-1515	52	20	(	(	PUNCT
ejpam-1515	52	21	3	3	NUM
ejpam-1515	52	22	)	)	PUNCT
ejpam-1515	52	23	to	to	PART
ejpam-1515	52	24	be	be	AUX
ejpam-1515	52	25	identified	identify	VERB
ejpam-1515	52	26	as	as	SCONJ
ejpam-1515	52	27	the	the	DET
ejpam-1515	52	28	set	set	ADJ
ejpam-1515	52	29	�	�	PROPN
ejpam-1515	52	30	ei	ei	X
ejpam-1515	52	31	.	.	PUNCT
ejpam-1515	52	32	matrix	matrix	NOUN
ejpam-1515	52	33	multiplication	multiplication	NOUN
ejpam-1515	52	34	of	of	ADP
ejpam-1515	52	35	the	the	DET
ejpam-1515	52	36	base	base	NOUN
ejpam-1515	52	37	matrices	matrix	NOUN
ejpam-1515	52	38	is	be	AUX
ejpam-1515	52	39	used	use	VERB
ejpam-1515	52	40	to	to	PART
ejpam-1515	52	41	identify	identify	VERB
ejpam-1515	52	42	the	the	DET
ejpam-1515	52	43	structure	structure	NOUN
ejpam-1515	52	44	constants	constant	NOUN
ejpam-1515	52	45	using	use	VERB
ejpam-1515	52	46	equation	equation	NOUN
ejpam-1515	52	47	(	(	PUNCT
ejpam-1515	52	48	3	3	NUM
ejpam-1515	52	49	)	)	PUNCT
ejpam-1515	52	50	as	as	ADP
ejpam-1515	52	51	c1	c1	PROPN
ejpam-1515	52	52	23	23	NUM
ejpam-1515	52	53	=	=	SYM
ejpam-1515	52	54	c2	c2	PROPN
ejpam-1515	52	55	31	31	NUM
ejpam-1515	52	56	=	=	SYM
ejpam-1515	52	57	c3	c3	X
ejpam-1515	52	58	12	12	NUM
ejpam-1515	52	59	=	=	SYM
ejpam-1515	52	60	1	1	NUM
ejpam-1515	52	61	c1	c1	NOUN
ejpam-1515	52	62	32	32	NUM
ejpam-1515	52	63	=	=	SYM
ejpam-1515	52	64	c2	c2	PROPN
ejpam-1515	52	65	13	13	NUM
ejpam-1515	52	66	=	=	SYM
ejpam-1515	52	67	c3	c3	X
ejpam-1515	52	68	21	21	NUM
ejpam-1515	52	69	=	=	SYM
ejpam-1515	52	70	−1	−1	NOUN
ejpam-1515	52	71	after	after	ADP
ejpam-1515	52	72	this	this	DET
ejpam-1515	52	73	very	very	ADV
ejpam-1515	52	74	concise	concise	ADJ
ejpam-1515	52	75	introduction	introduction	NOUN
ejpam-1515	52	76	to	to	PART
ejpam-1515	52	77	lie	lie	VERB
ejpam-1515	52	78	groups	group	NOUN
ejpam-1515	52	79	,	,	PUNCT
ejpam-1515	52	80	its	its	PRON
ejpam-1515	52	81	lie	lie	NOUN
ejpam-1515	52	82	algebra	algebra	NOUN
ejpam-1515	52	83	and	and	CCONJ
ejpam-1515	52	84	dual	dual	ADJ
ejpam-1515	52	85	algebra	algebra	NOUN
ejpam-1515	52	86	,	,	PUNCT
ejpam-1515	52	87	the	the	DET
ejpam-1515	52	88	next	next	ADJ
ejpam-1515	52	89	section	section	NOUN
ejpam-1515	52	90	concentrates	concentrate	VERB
ejpam-1515	52	91	on	on	ADP
ejpam-1515	52	92	functions	function	NOUN
ejpam-1515	52	93	on	on	ADP
ejpam-1515	52	94	the	the	DET
ejpam-1515	52	95	dual	dual	ADJ
ejpam-1515	52	96	of	of	ADP
ejpam-1515	52	97	the	the	DET
ejpam-1515	52	98	lie	lie	NOUN
ejpam-1515	52	99	algebra	algebra	NOUN
ejpam-1515	52	100	.	.	PUNCT
ejpam-1515	53	1	3	3	X
ejpam-1515	53	2	.	.	X
ejpam-1515	53	3	dual	dual	ADJ
ejpam-1515	53	4	lie	lie	NOUN
ejpam-1515	53	5	algebra	algebra	NOUN
ejpam-1515	53	6	and	and	CCONJ
ejpam-1515	53	7	the	the	DET
ejpam-1515	53	8	poisson	poisson	NOUN
ejpam-1515	53	9	bracket	bracket	NOUN
ejpam-1515	53	10	this	this	DET
ejpam-1515	53	11	paper	paper	NOUN
ejpam-1515	53	12	is	be	AUX
ejpam-1515	53	13	concerned	concern	VERB
ejpam-1515	53	14	with	with	ADP
ejpam-1515	53	15	two	two	NUM
ejpam-1515	53	16	type	type	NOUN
ejpam-1515	53	17	of	of	ADP
ejpam-1515	53	18	functions	function	NOUN
ejpam-1515	53	19	on	on	ADP
ejpam-1515	53	20	the	the	DET
ejpam-1515	53	21	dual	dual	ADJ
ejpam-1515	53	22	space	space	NOUN
ejpam-1515	53	23	;	;	PUNCT
ejpam-1515	53	24	constant	constant	ADJ
ejpam-1515	53	25	functions	function	NOUN
ejpam-1515	53	26	which	which	PRON
ejpam-1515	53	27	arise	arise	VERB
ejpam-1515	53	28	from	from	ADP
ejpam-1515	53	29	the	the	DET
ejpam-1515	53	30	structure	structure	NOUN
ejpam-1515	53	31	of	of	ADP
ejpam-1515	53	32	the	the	DET
ejpam-1515	53	33	space	space	NOUN
ejpam-1515	53	34	and	and	CCONJ
ejpam-1515	53	35	hamiltonains	hamiltonain	NOUN
ejpam-1515	53	36	which	which	PRON
ejpam-1515	53	37	induces	induce	VERB
ejpam-1515	53	38	a	a	DET
ejpam-1515	53	39	trajectory	trajectory	NOUN
ejpam-1515	53	40	on	on	ADP
ejpam-1515	53	41	the	the	DET
ejpam-1515	53	42	base	base	NOUN
ejpam-1515	53	43	manifold	manifold	NOUN
ejpam-1515	53	44	.	.	PUNCT
ejpam-1515	54	1	having	having	AUX
ejpam-1515	54	2	defined	define	VERB
ejpam-1515	54	3	a	a	DET
ejpam-1515	54	4	function	function	NOUN
ejpam-1515	54	5	on	on	ADP
ejpam-1515	54	6	the	the	DET
ejpam-1515	54	7	dual	dual	ADJ
ejpam-1515	54	8	space	space	NOUN
ejpam-1515	54	9	,	,	PUNCT
ejpam-1515	54	10	the	the	DET
ejpam-1515	54	11	poisson	poisson	NOUN
ejpam-1515	54	12	bracket	bracket	NOUN
ejpam-1515	54	13	is	be	AUX
ejpam-1515	54	14	used	use	VERB
ejpam-1515	54	15	to	to	PART
ejpam-1515	54	16	find	find	VERB
ejpam-1515	54	17	vector	vector	NOUN
ejpam-1515	54	18	fields	field	NOUN
ejpam-1515	54	19	arising	arise	VERB
ejpam-1515	54	20	from	from	ADP
ejpam-1515	54	21	a	a	DET
ejpam-1515	54	22	function	function	NOUN
ejpam-1515	54	23	.	.	PUNCT
ejpam-1515	55	1	there	there	PRON
ejpam-1515	55	2	is	be	VERB
ejpam-1515	55	3	a	a	DET
ejpam-1515	55	4	close	close	ADJ
ejpam-1515	55	5	relationship	relationship	NOUN
ejpam-1515	55	6	between	between	ADP
ejpam-1515	55	7	the	the	DET
ejpam-1515	55	8	poisson	poisson	PROPN
ejpam-1515	55	9	c.	c.	PROPN
ejpam-1515	55	10	linton	linton	PROPN
ejpam-1515	55	11	,	,	PUNCT
ejpam-1515	55	12	w.	w.	PROPN
ejpam-1515	55	13	holderbaum	holderbaum	PROPN
ejpam-1515	55	14	,	,	PUNCT
ejpam-1515	55	15	j.	j.	PROPN
ejpam-1515	55	16	biggs	biggs	PROPN
ejpam-1515	55	17	/	/	SYM
ejpam-1515	55	18	eur	eur	PROPN
ejpam-1515	55	19	.	.	PUNCT
ejpam-1515	56	1	j.	j.	PROPN
ejpam-1515	56	2	pure	pure	PROPN
ejpam-1515	56	3	appl	appl	PROPN
ejpam-1515	56	4	.	.	PROPN
ejpam-1515	56	5	math	math	PROPN
ejpam-1515	56	6	,	,	PUNCT
ejpam-1515	56	7	5	5	NUM
ejpam-1515	56	8	(	(	PUNCT
ejpam-1515	56	9	2012	2012	NUM
ejpam-1515	56	10	)	)	PUNCT
ejpam-1515	56	11	,	,	PUNCT
ejpam-1515	56	12	567	567	NUM
ejpam-1515	56	13	-	-	SYM
ejpam-1515	56	14	583	583	NUM
ejpam-1515	56	15	570	570	NUM
ejpam-1515	56	16	bracket	bracket	NOUN
ejpam-1515	56	17	and	and	CCONJ
ejpam-1515	56	18	the	the	DET
ejpam-1515	56	19	lie	lie	NOUN
ejpam-1515	56	20	bracket	bracket	NOUN
ejpam-1515	56	21	.	.	PUNCT
ejpam-1515	57	1	they	they	PRON
ejpam-1515	57	2	both	both	PRON
ejpam-1515	57	3	describes	describe	VERB
ejpam-1515	57	4	the	the	DET
ejpam-1515	57	5	structure	structure	NOUN
ejpam-1515	57	6	of	of	ADP
ejpam-1515	57	7	the	the	DET
ejpam-1515	57	8	lie	lie	NOUN
ejpam-1515	57	9	algebra	algebra	NOUN
ejpam-1515	57	10	in	in	ADP
ejpam-1515	57	11	a	a	DET
ejpam-1515	57	12	similar	similar	ADJ
ejpam-1515	57	13	manner	manner	NOUN
ejpam-1515	57	14	.	.	PUNCT
ejpam-1515	58	1	the	the	DET
ejpam-1515	58	2	relationships	relationship	NOUN
ejpam-1515	58	3	are	be	AUX
ejpam-1515	58	4	proved	prove	VERB
ejpam-1515	58	5	in	in	ADP
ejpam-1515	58	6	this	this	DET
ejpam-1515	58	7	section	section	NOUN
ejpam-1515	58	8	in	in	ADP
ejpam-1515	58	9	preparation	preparation	NOUN
ejpam-1515	58	10	to	to	ADP
ejpam-1515	58	11	finding	find	VERB
ejpam-1515	58	12	the	the	DET
ejpam-1515	58	13	invariant	invariant	ADJ
ejpam-1515	58	14	functions	function	NOUN
ejpam-1515	58	15	and	and	CCONJ
ejpam-1515	58	16	the	the	DET
ejpam-1515	58	17	differential	differential	ADJ
ejpam-1515	58	18	equations	equation	NOUN
ejpam-1515	58	19	of	of	ADP
ejpam-1515	58	20	motion	motion	NOUN
ejpam-1515	58	21	.	.	PUNCT
ejpam-1515	59	1	definition	definition	NOUN
ejpam-1515	59	2	1	1	NUM
ejpam-1515	59	3	.	.	PUNCT
ejpam-1515	60	1	a	a	DET
ejpam-1515	60	2	function	function	NOUN
ejpam-1515	60	3	g	g	NOUN
ejpam-1515	60	4	on	on	ADP
ejpam-1515	60	5	the	the	DET
ejpam-1515	60	6	dual	dual	ADJ
ejpam-1515	60	7	space	space	NOUN
ejpam-1515	60	8	is	be	AUX
ejpam-1515	60	9	an	an	DET
ejpam-1515	60	10	operation	operation	NOUN
ejpam-1515	60	11	that	that	PRON
ejpam-1515	60	12	assigns	assign	VERB
ejpam-1515	60	13	a	a	DET
ejpam-1515	60	14	scalar	scalar	ADJ
ejpam-1515	60	15	value	value	NOUN
ejpam-1515	60	16	∈	∈	PROPN
ejpam-1515	60	17	f	f	X
ejpam-1515	60	18	∈	∈	PROPN
ejpam-1515	60	19	{	{	PUNCT
ejpam-1515	60	20	r	r	NOUN
ejpam-1515	60	21	,	,	PUNCT
ejpam-1515	60	22	c	c	NOUN
ejpam-1515	60	23	}	}	PUNCT
ejpam-1515	60	24	to	to	ADP
ejpam-1515	60	25	every	every	DET
ejpam-1515	60	26	point	point	NOUN
ejpam-1515	60	27	�	�	PROPN
ejpam-1515	60	28	p	p	NOUN
ejpam-1515	60	29	,	,	PUNCT
ejpam-1515	60	30	q	q	PROPN
ejpam-1515	60	31	�	�	PROPN
ejpam-1515	60	32	on	on	ADP
ejpam-1515	60	33	the	the	DET
ejpam-1515	60	34	dual	dual	ADJ
ejpam-1515	60	35	space	space	NOUN
ejpam-1515	60	36	;	;	PUNCT
ejpam-1515	60	37	g	g	NOUN
ejpam-1515	60	38	:	:	PUNCT
ejpam-1515	60	39	t	t	PROPN
ejpam-1515	60	40	∗m	∗m	PROPN
ejpam-1515	60	41	→	→	SYM
ejpam-1515	60	42	f	f	PROPN
ejpam-1515	60	43	where	where	SCONJ
ejpam-1515	60	44	p	p	NOUN
ejpam-1515	60	45	is	be	AUX
ejpam-1515	60	46	a	a	DET
ejpam-1515	60	47	cotangent	cotangent	NOUN
ejpam-1515	60	48	or	or	CCONJ
ejpam-1515	60	49	one	one	NUM
ejpam-1515	60	50	-	-	PUNCT
ejpam-1515	60	51	form	form	NOUN
ejpam-1515	60	52	corresponding	correspond	VERB
ejpam-1515	60	53	to	to	ADP
ejpam-1515	60	54	a	a	DET
ejpam-1515	60	55	vector	vector	NOUN
ejpam-1515	60	56	in	in	ADP
ejpam-1515	60	57	the	the	DET
ejpam-1515	60	58	tangent	tangent	ADJ
ejpam-1515	60	59	space	space	NOUN
ejpam-1515	60	60	for	for	ADP
ejpam-1515	60	61	the	the	DET
ejpam-1515	60	62	position	position	NOUN
ejpam-1515	60	63	q.	q.	VERB
ejpam-1515	60	64	the	the	DET
ejpam-1515	60	65	structure	structure	NOUN
ejpam-1515	60	66	of	of	ADP
ejpam-1515	60	67	the	the	DET
ejpam-1515	60	68	dual	dual	ADJ
ejpam-1515	60	69	space	space	NOUN
ejpam-1515	60	70	is	be	AUX
ejpam-1515	60	71	reflected	reflect	VERB
ejpam-1515	60	72	in	in	ADP
ejpam-1515	60	73	the	the	DET
ejpam-1515	60	74	action	action	NOUN
ejpam-1515	60	75	of	of	ADP
ejpam-1515	60	76	the	the	DET
ejpam-1515	60	77	poisson	poisson	PROPN
ejpam-1515	60	78	bracket	bracket	NOUN
ejpam-1515	60	79	,	,	PUNCT
ejpam-1515	60	80	defined	define	VERB
ejpam-1515	60	81	here	here	ADV
ejpam-1515	60	82	.	.	PUNCT
ejpam-1515	61	1	definition	definition	NOUN
ejpam-1515	61	2	2	2	NUM
ejpam-1515	61	3	.	.	PUNCT
ejpam-1515	62	1	the	the	DET
ejpam-1515	62	2	poisson	poisson	PROPN
ejpam-1515	62	3	bracket	bracket	NOUN
ejpam-1515	62	4	{	{	PUNCT
ejpam-1515	62	5	·	·	PUNCT
ejpam-1515	62	6	,	,	PUNCT
ejpam-1515	62	7	·	·	PUNCT
ejpam-1515	62	8	}	}	PUNCT
ejpam-1515	62	9	is	be	AUX
ejpam-1515	62	10	defined	define	VERB
ejpam-1515	62	11	as	as	ADP
ejpam-1515	62	12	satisfying	satisfy	VERB
ejpam-1515	62	13	the	the	DET
ejpam-1515	62	14	following	follow	VERB
ejpam-1515	62	15	conditions	condition	NOUN
ejpam-1515	62	16	[	[	AUX
ejpam-1515	62	17	see	see	VERB
ejpam-1515	62	18	p20	p20	NOUN
ejpam-1515	62	19	of	of	ADP
ejpam-1515	62	20	9	9	NUM
ejpam-1515	62	21	]	]	SYM
ejpam-1515	62	22	1	1	NUM
ejpam-1515	62	23	.	.	X
ejpam-1515	63	1	bi	bi	ADJ
ejpam-1515	63	2	-	-	NOUN
ejpam-1515	63	3	linear	linear	ADJ
ejpam-1515	63	4	{	{	PUNCT
ejpam-1515	63	5	λf	λf	PROPN
ejpam-1515	63	6	,	,	PUNCT
ejpam-1515	63	7	g	g	PROPN
ejpam-1515	63	8	+	+	PROPN
ejpam-1515	63	9	e}=	e}=	PROPN
ejpam-1515	63	10	λ	λ	PROPN
ejpam-1515	63	11	{	{	PUNCT
ejpam-1515	63	12	f	f	NOUN
ejpam-1515	63	13	,	,	PUNCT
ejpam-1515	63	14	g}+λ	g}+λ	PROPN
ejpam-1515	63	15	{	{	PUNCT
ejpam-1515	63	16	f	f	X
ejpam-1515	63	17	,	,	PUNCT
ejpam-1515	63	18	e	e	NOUN
ejpam-1515	63	19	}	}	PUNCT
ejpam-1515	63	20	2	2	NUM
ejpam-1515	63	21	.	.	X
ejpam-1515	63	22	skew	skew	ADJ
ejpam-1515	63	23	symmetric	symmetric	ADJ
ejpam-1515	63	24	{	{	PUNCT
ejpam-1515	63	25	e	e	NOUN
ejpam-1515	63	26	,	,	PUNCT
ejpam-1515	63	27	f	f	NOUN
ejpam-1515	63	28	}	}	PUNCT
ejpam-1515	63	29	=	=	SYM
ejpam-1515	63	30	−{f	−{f	NOUN
ejpam-1515	63	31	,	,	PUNCT
ejpam-1515	63	32	e	e	NOUN
ejpam-1515	63	33	}	}	PUNCT
ejpam-1515	63	34	,	,	PUNCT
ejpam-1515	63	35	3	3	X
ejpam-1515	63	36	.	.	X
ejpam-1515	63	37	satisfies	satisfie	NOUN
ejpam-1515	63	38	the	the	DET
ejpam-1515	63	39	leibniz	leibniz	PROPN
ejpam-1515	63	40	rule	rule	PROPN
ejpam-1515	63	41	{	{	PUNCT
ejpam-1515	63	42	fg	fg	PROPN
ejpam-1515	63	43	,	,	PUNCT
ejpam-1515	63	44	e	e	NOUN
ejpam-1515	63	45	}	}	PUNCT
ejpam-1515	63	46	=	=	SYM
ejpam-1515	63	47	{	{	PUNCT
ejpam-1515	63	48	f	f	X
ejpam-1515	63	49	,	,	PUNCT
ejpam-1515	63	50	g	g	NOUN
ejpam-1515	63	51	}	}	PUNCT
ejpam-1515	63	52	e	e	PROPN
ejpam-1515	64	1	+	+	CCONJ
ejpam-1515	64	2	f	f	X
ejpam-1515	64	3	{	{	PUNCT
ejpam-1515	64	4	g	g	PROPN
ejpam-1515	64	5	,	,	PUNCT
ejpam-1515	64	6	e	e	NOUN
ejpam-1515	64	7	}	}	PUNCT
ejpam-1515	64	8	4	4	NUM
ejpam-1515	64	9	.	.	PUNCT
ejpam-1515	64	10	satisfies	satisfy	VERB
ejpam-1515	64	11	the	the	DET
ejpam-1515	64	12	jacobi	jacobi	PROPN
ejpam-1515	64	13	identity	identity	NOUN
ejpam-1515	64	14	{	{	PUNCT
ejpam-1515	64	15	f	f	PROPN
ejpam-1515	64	16	,	,	PUNCT
ejpam-1515	64	17	{	{	PUNCT
ejpam-1515	64	18	g	g	NOUN
ejpam-1515	64	19	,	,	PUNCT
ejpam-1515	64	20	e}}+	e}}+	NOUN
ejpam-1515	64	21	{	{	PUNCT
ejpam-1515	64	22	g	g	NOUN
ejpam-1515	64	23	,	,	PUNCT
ejpam-1515	64	24	{	{	PUNCT
ejpam-1515	64	25	e	e	NOUN
ejpam-1515	64	26	,	,	PUNCT
ejpam-1515	64	27	f}}+	f}}+	PROPN
ejpam-1515	64	28	{	{	PUNCT
ejpam-1515	64	29	e	e	NOUN
ejpam-1515	64	30	,	,	PUNCT
ejpam-1515	64	31	{	{	PUNCT
ejpam-1515	64	32	f	f	X
ejpam-1515	64	33	,	,	PUNCT
ejpam-1515	64	34	g	g	NOUN
ejpam-1515	64	35	}	}	PUNCT
ejpam-1515	64	36	}	}	PUNCT
ejpam-1515	64	37	=	=	PUNCT
ejpam-1515	64	38	0	0	NUM
ejpam-1515	64	39	where	where	SCONJ
ejpam-1515	64	40	e	e	NOUN
ejpam-1515	64	41	,	,	PUNCT
ejpam-1515	64	42	f	f	X
ejpam-1515	64	43	,	,	PUNCT
ejpam-1515	64	44	g	g	PROPN
ejpam-1515	64	45	are	be	AUX
ejpam-1515	64	46	functions	function	NOUN
ejpam-1515	64	47	on	on	ADP
ejpam-1515	64	48	the	the	DET
ejpam-1515	64	49	dual	dual	ADJ
ejpam-1515	64	50	space	space	NOUN
ejpam-1515	64	51	.	.	PUNCT
ejpam-1515	65	1	the	the	DET
ejpam-1515	65	2	canonical	canonical	ADJ
ejpam-1515	65	3	form	form	NOUN
ejpam-1515	65	4	of	of	ADP
ejpam-1515	65	5	the	the	DET
ejpam-1515	65	6	poisson	poisson	NOUN
ejpam-1515	65	7	bracket	bracket	NOUN
ejpam-1515	65	8	{	{	PUNCT
ejpam-1515	65	9	f	f	PROPN
ejpam-1515	65	10	,	,	PUNCT
ejpam-1515	65	11	e	e	NOUN
ejpam-1515	65	12	}	}	PUNCT
ejpam-1515	65	13	=	=	SYM
ejpam-1515	66	1	∂	∂	NUM
ejpam-1515	66	2	f	f	PROPN
ejpam-1515	66	3	∂	∂	NUM
ejpam-1515	66	4	q	q	NOUN
ejpam-1515	66	5	∂	∂	NUM
ejpam-1515	66	6	e	e	NOUN
ejpam-1515	66	7	∂	∂	NUM
ejpam-1515	66	8	p	p	NOUN
ejpam-1515	66	9	−	−	PROPN
ejpam-1515	66	10	∂	∂	NOUN
ejpam-1515	66	11	f	f	NOUN
ejpam-1515	66	12	∂	∂	NUM
ejpam-1515	66	13	p	p	NOUN
ejpam-1515	66	14	∂	∂	NOUN
ejpam-1515	66	15	e	e	NOUN
ejpam-1515	66	16	∂	∂	NOUN
ejpam-1515	66	17	q	q	NOUN
ejpam-1515	66	18	satisfies	satisfy	VERB
ejpam-1515	66	19	this	this	DET
ejpam-1515	66	20	definition	definition	NOUN
ejpam-1515	66	21	with	with	ADP
ejpam-1515	66	22	f(p	f(p	PROPN
ejpam-1515	66	23	,	,	PUNCT
ejpam-1515	66	24	q	q	NOUN
ejpam-1515	66	25	)	)	PUNCT
ejpam-1515	66	26	and	and	CCONJ
ejpam-1515	66	27	e	e	X
ejpam-1515	66	28	�	�	PROPN
ejpam-1515	66	29	p	p	PROPN
ejpam-1515	66	30	,	,	PUNCT
ejpam-1515	66	31	q	q	PROPN
ejpam-1515	66	32	�	�	PROPN
ejpam-1515	66	33	being	being	NOUN
ejpam-1515	66	34	functions	function	NOUN
ejpam-1515	66	35	on	on	ADP
ejpam-1515	66	36	the	the	DET
ejpam-1515	66	37	cotangent	cotangent	NOUN
ejpam-1515	66	38	space	space	NOUN
ejpam-1515	66	39	when	when	SCONJ
ejpam-1515	66	40	the	the	DET
ejpam-1515	66	41	canonically	canonically	ADV
ejpam-1515	66	42	conjugate	conjugate	ADJ
ejpam-1515	66	43	coordinates	coordinate	NOUN
ejpam-1515	66	44	satisfy	satisfy	VERB
ejpam-1515	66	45	¦	¦	PROPN
ejpam-1515	66	46	qi	qi	PROPN
ejpam-1515	66	47	,	,	PUNCT
ejpam-1515	66	48	p	p	NOUN
ejpam-1515	66	49	j	j	PROPN
ejpam-1515	66	50	©	©	PROPN
ejpam-1515	66	51	=	=	PROPN
ejpam-1515	66	52	δi	δi	PROPN
ejpam-1515	66	53	j	j	PROPN
ejpam-1515	66	54	(	(	PUNCT
ejpam-1515	66	55	5	5	NUM
ejpam-1515	66	56	)	)	PUNCT
ejpam-1515	66	57	definition	definition	NOUN
ejpam-1515	66	58	3	3	NUM
ejpam-1515	66	59	.	.	PUNCT
ejpam-1515	66	60	a	a	DET
ejpam-1515	66	61	vector	vector	NOUN
ejpam-1515	66	62	field	field	NOUN
ejpam-1515	66	63	arising	arise	VERB
ejpam-1515	66	64	from	from	ADP
ejpam-1515	66	65	a	a	DET
ejpam-1515	66	66	function	function	NOUN
ejpam-1515	66	67	f	f	NOUN
ejpam-1515	66	68	and	and	CCONJ
ejpam-1515	66	69	the	the	DET
ejpam-1515	66	70	poisson	poisson	NOUN
ejpam-1515	66	71	bracket	bracket	NOUN
ejpam-1515	66	72	[	[	AUX
ejpam-1515	66	73	see	see	VERB
ejpam-1515	66	74	p21	p21	NOUN
ejpam-1515	66	75	of	of	ADP
ejpam-1515	66	76	9	9	NUM
ejpam-1515	66	77	]	]	PUNCT
ejpam-1515	66	78	is	be	AUX
ejpam-1515	66	79	defined	define	VERB
ejpam-1515	66	80	as	as	ADP
ejpam-1515	66	81	x	x	X
ejpam-1515	66	82	f	f	PROPN
ejpam-1515	66	83	=	=	PRON
ejpam-1515	66	84	{	{	PUNCT
ejpam-1515	66	85	·	·	PUNCT
ejpam-1515	66	86	,	,	PUNCT
ejpam-1515	66	87	f	f	X
ejpam-1515	66	88	}	}	PUNCT
ejpam-1515	66	89	=	=	SYM
ejpam-1515	66	90	∂	∂	NUM
ejpam-1515	66	91	f	f	PROPN
ejpam-1515	66	92	∂	∂	NUM
ejpam-1515	66	93	p	p	NOUN
ejpam-1515	66	94	∂	∂	NOUN
ejpam-1515	66	95	∂	∂	NUM
ejpam-1515	66	96	q	q	NOUN
ejpam-1515	67	1	−	−	PROPN
ejpam-1515	67	2	∂	∂	NOUN
ejpam-1515	67	3	f	f	PROPN
ejpam-1515	67	4	∂	∂	NUM
ejpam-1515	67	5	q	q	NOUN
ejpam-1515	67	6	∂	∂	NOUN
ejpam-1515	67	7	∂	∂	NOUN
ejpam-1515	67	8	p	p	NOUN
ejpam-1515	67	9	(	(	PUNCT
ejpam-1515	67	10	6	6	NUM
ejpam-1515	67	11	)	)	PUNCT
ejpam-1515	67	12	theorem	theorem	NOUN
ejpam-1515	67	13	1	1	NUM
ejpam-1515	67	14	.	.	PUNCT
ejpam-1515	68	1	poisson	poisson	NOUN
ejpam-1515	68	2	brackets	bracket	NOUN
ejpam-1515	68	3	can	can	AUX
ejpam-1515	68	4	be	be	AUX
ejpam-1515	68	5	expressed	express	VERB
ejpam-1515	68	6	in	in	ADP
ejpam-1515	68	7	terms	term	NOUN
ejpam-1515	68	8	of	of	ADP
ejpam-1515	68	9	alternative	alternative	ADJ
ejpam-1515	68	10	coordinates	coordinate	NOUN
ejpam-1515	68	11	�	�	PROPN
ejpam-1515	68	12	zi	zi	PROPN
ejpam-1515	68	13	=	=	SYM
ejpam-1515	68	14	¦	¦	PROPN
ejpam-1515	68	15	pi	pi	PROPN
ejpam-1515	68	16	,	,	PUNCT
ejpam-1515	68	17	q	q	PROPN
ejpam-1515	68	18	j	j	PROPN
ejpam-1515	68	19	©	©	PROPN
ejpam-1515	68	20	[	[	X
ejpam-1515	68	21	compare	compare	VERB
ejpam-1515	68	22	p	p	PROPN
ejpam-1515	68	23	49	49	NUM
ejpam-1515	68	24	of	of	ADP
ejpam-1515	68	25	9	9	NUM
ejpam-1515	68	26	]	]	PUNCT
ejpam-1515	68	27	as	as	ADP
ejpam-1515	68	28	{	{	PUNCT
ejpam-1515	68	29	f	f	X
ejpam-1515	68	30	,	,	PUNCT
ejpam-1515	68	31	e	e	NOUN
ejpam-1515	68	32	}	}	PUNCT
ejpam-1515	68	33	=	=	SYM
ejpam-1515	68	34	∂	∂	NUM
ejpam-1515	68	35	f	f	PROPN
ejpam-1515	68	36	∂	∂	PROPN
ejpam-1515	68	37	zi	zi	PROPN
ejpam-1515	68	38	¦	¦	PROPN
ejpam-1515	68	39	zi	zi	PROPN
ejpam-1515	68	40	,	,	PUNCT
ejpam-1515	68	41	z	z	PROPN
ejpam-1515	68	42	j	j	PROPN
ejpam-1515	69	1	©	©	PROPN
ejpam-1515	69	2	∂	∂	NUM
ejpam-1515	69	3	e	e	NOUN
ejpam-1515	69	4	∂	∂	PROPN
ejpam-1515	69	5	z	z	PROPN
ejpam-1515	69	6	j	j	PROPN
ejpam-1515	69	7	with	with	ADP
ejpam-1515	69	8	implicit	implicit	ADJ
ejpam-1515	69	9	summation	summation	NOUN
ejpam-1515	69	10	over	over	ADP
ejpam-1515	69	11	all	all	DET
ejpam-1515	69	12	i	i	PROPN
ejpam-1515	69	13	,	,	PUNCT
ejpam-1515	69	14	j.	j.	PROPN
ejpam-1515	69	15	c.	c.	PROPN
ejpam-1515	69	16	linton	linton	PROPN
ejpam-1515	69	17	,	,	PUNCT
ejpam-1515	69	18	w.	w.	PROPN
ejpam-1515	69	19	holderbaum	holderbaum	PROPN
ejpam-1515	69	20	,	,	PUNCT
ejpam-1515	69	21	j.	j.	PROPN
ejpam-1515	69	22	biggs	biggs	PROPN
ejpam-1515	69	23	/	/	SYM
ejpam-1515	69	24	eur	eur	PROPN
ejpam-1515	69	25	.	.	PUNCT
ejpam-1515	70	1	j.	j.	PROPN
ejpam-1515	70	2	pure	pure	PROPN
ejpam-1515	70	3	appl	appl	PROPN
ejpam-1515	70	4	.	.	PROPN
ejpam-1515	70	5	math	math	PROPN
ejpam-1515	70	6	,	,	PUNCT
ejpam-1515	70	7	5	5	NUM
ejpam-1515	70	8	(	(	PUNCT
ejpam-1515	70	9	2012	2012	NUM
ejpam-1515	70	10	)	)	PUNCT
ejpam-1515	70	11	,	,	PUNCT
ejpam-1515	70	12	567	567	NUM
ejpam-1515	70	13	-	-	SYM
ejpam-1515	70	14	583	583	NUM
ejpam-1515	70	15	571	571	NUM
ejpam-1515	70	16	proof	proof	NOUN
ejpam-1515	70	17	.	.	PUNCT
ejpam-1515	71	1	from	from	ADP
ejpam-1515	71	2	the	the	DET
ejpam-1515	71	3	definition	definition	NOUN
ejpam-1515	71	4	{	{	PUNCT
ejpam-1515	71	5	f	f	X
ejpam-1515	71	6	,	,	PUNCT
ejpam-1515	71	7	e	e	NOUN
ejpam-1515	71	8	}	}	PUNCT
ejpam-1515	71	9	=	=	SYM
ejpam-1515	71	10	∂	∂	NUM
ejpam-1515	71	11	f	f	PROPN
ejpam-1515	71	12	∂	∂	NUM
ejpam-1515	71	13	q	q	NOUN
ejpam-1515	71	14	∂	∂	NUM
ejpam-1515	71	15	e	e	NOUN
ejpam-1515	71	16	∂	∂	NUM
ejpam-1515	71	17	p	p	NOUN
ejpam-1515	71	18	−	−	PROPN
ejpam-1515	71	19	∂	∂	NOUN
ejpam-1515	71	20	f	f	NOUN
ejpam-1515	71	21	∂	∂	NUM
ejpam-1515	71	22	p	p	NOUN
ejpam-1515	71	23	∂	∂	NOUN
ejpam-1515	71	24	e	e	NOUN
ejpam-1515	71	25	∂	∂	NOUN
ejpam-1515	71	26	q	q	NOUN
ejpam-1515	71	27	=	=	SYM
ejpam-1515	71	28	∂	∂	PROPN
ejpam-1515	71	29	f	f	PROPN
ejpam-1515	71	30	∂	∂	PROPN
ejpam-1515	71	31	zi	zi	PROPN
ejpam-1515	71	32	∂	∂	PROPN
ejpam-1515	71	33	zi	zi	PROPN
ejpam-1515	71	34	∂	∂	PROPN
ejpam-1515	71	35	q	q	NOUN
ejpam-1515	71	36	∂	∂	NUM
ejpam-1515	71	37	e	e	NOUN
ejpam-1515	71	38	∂	∂	PROPN
ejpam-1515	71	39	z	z	PROPN
ejpam-1515	71	40	j	j	PROPN
ejpam-1515	71	41	∂	∂	PROPN
ejpam-1515	71	42	z	z	PROPN
ejpam-1515	71	43	j	j	PROPN
ejpam-1515	71	44	∂	∂	NUM
ejpam-1515	71	45	p	p	NOUN
ejpam-1515	71	46	−	−	PROPN
ejpam-1515	71	47	∂	∂	NOUN
ejpam-1515	71	48	f	f	PROPN
ejpam-1515	71	49	∂	∂	PROPN
ejpam-1515	71	50	zi	zi	PROPN
ejpam-1515	71	51	∂	∂	PROPN
ejpam-1515	71	52	zi	zi	PROPN
ejpam-1515	71	53	∂	∂	PROPN
ejpam-1515	71	54	p	p	NOUN
ejpam-1515	71	55	∂	∂	NOUN
ejpam-1515	71	56	e	e	NOUN
ejpam-1515	71	57	∂	∂	PROPN
ejpam-1515	71	58	z	z	PROPN
ejpam-1515	71	59	j	j	PROPN
ejpam-1515	71	60	∂	∂	PROPN
ejpam-1515	71	61	z	z	PROPN
ejpam-1515	71	62	j	j	PROPN
ejpam-1515	71	63	∂	∂	NOUN
ejpam-1515	71	64	q	q	NOUN
ejpam-1515	71	65	=	=	SYM
ejpam-1515	71	66	∂	∂	PROPN
ejpam-1515	71	67	f	f	PROPN
ejpam-1515	71	68	∂	∂	PROPN
ejpam-1515	71	69	zi	zi	PROPN
ejpam-1515	71	70	�	�	PROPN
ejpam-1515	71	71	∂	∂	PROPN
ejpam-1515	71	72	zi	zi	PROPN
ejpam-1515	71	73	∂	∂	PROPN
ejpam-1515	71	74	q	q	PROPN
ejpam-1515	71	75	∂	∂	PROPN
ejpam-1515	71	76	z	z	PROPN
ejpam-1515	71	77	j	j	PROPN
ejpam-1515	71	78	∂	∂	NUM
ejpam-1515	71	79	p	p	NOUN
ejpam-1515	71	80	−	−	PROPN
ejpam-1515	71	81	∂	∂	NUM
ejpam-1515	71	82	zi	zi	NOUN
ejpam-1515	71	83	∂	∂	PROPN
ejpam-1515	71	84	p	p	NOUN
ejpam-1515	71	85	∂	∂	PROPN
ejpam-1515	71	86	z	z	PROPN
ejpam-1515	71	87	j	j	PROPN
ejpam-1515	71	88	∂	∂	X
ejpam-1515	71	89	q	q	PROPN
ejpam-1515	71	90	�	�	PROPN
ejpam-1515	71	91	∂	∂	NUM
ejpam-1515	71	92	e	e	NOUN
ejpam-1515	71	93	∂	∂	PROPN
ejpam-1515	71	94	z	z	PROPN
ejpam-1515	71	95	j	j	PROPN
ejpam-1515	71	96	=	=	SYM
ejpam-1515	71	97	∂	∂	PROPN
ejpam-1515	71	98	f	f	PROPN
ejpam-1515	71	99	∂	∂	PROPN
ejpam-1515	71	100	zi	zi	PROPN
ejpam-1515	71	101	¦	¦	PROPN
ejpam-1515	71	102	zi	zi	PROPN
ejpam-1515	71	103	,	,	PUNCT
ejpam-1515	71	104	z	z	PROPN
ejpam-1515	71	105	j	j	PROPN
ejpam-1515	72	1	©	©	PROPN
ejpam-1515	72	2	∂	∂	NUM
ejpam-1515	72	3	e	e	NOUN
ejpam-1515	72	4	∂	∂	PROPN
ejpam-1515	72	5	z	z	PROPN
ejpam-1515	72	6	j	j	PROPN
ejpam-1515	72	7	the	the	DET
ejpam-1515	72	8	dual	dual	ADJ
ejpam-1515	72	9	lie	lie	NOUN
ejpam-1515	72	10	algebra	algebra	NOUN
ejpam-1515	72	11	is	be	AUX
ejpam-1515	72	12	the	the	DET
ejpam-1515	72	13	cotangent	cotangent	NOUN
ejpam-1515	72	14	space	space	NOUN
ejpam-1515	72	15	pulled	pull	VERB
ejpam-1515	72	16	back	back	ADV
ejpam-1515	72	17	to	to	ADP
ejpam-1515	72	18	the	the	DET
ejpam-1515	72	19	origin	origin	NOUN
ejpam-1515	72	20	so	so	SCONJ
ejpam-1515	72	21	there	there	PRON
ejpam-1515	72	22	is	be	VERB
ejpam-1515	72	23	no	no	DET
ejpam-1515	72	24	positional	positional	ADJ
ejpam-1515	72	25	dependencies	dependency	NOUN
ejpam-1515	72	26	and	and	CCONJ
ejpam-1515	72	27	the	the	DET
ejpam-1515	72	28	coordinates	coordinate	NOUN
ejpam-1515	72	29	are	be	AUX
ejpam-1515	72	30	written	write	VERB
ejpam-1515	72	31	as	as	ADP
ejpam-1515	72	32	�	�	PROPN
ejpam-1515	72	33	pi	pi	NOUN
ejpam-1515	72	34	.	.	PUNCT
ejpam-1515	73	1	if	if	SCONJ
ejpam-1515	73	2	f	f	PROPN
ejpam-1515	73	3	and	and	CCONJ
ejpam-1515	73	4	e	e	PROPN
ejpam-1515	73	5	are	be	AUX
ejpam-1515	73	6	functions	function	NOUN
ejpam-1515	73	7	on	on	ADP
ejpam-1515	73	8	the	the	DET
ejpam-1515	73	9	dual	dual	ADJ
ejpam-1515	73	10	of	of	ADP
ejpam-1515	73	11	the	the	DET
ejpam-1515	73	12	lie	lie	NOUN
ejpam-1515	73	13	algebra	algebra	NOUN
ejpam-1515	73	14	,	,	PUNCT
ejpam-1515	73	15	then	then	ADV
ejpam-1515	73	16	they	they	PRON
ejpam-1515	73	17	are	be	AUX
ejpam-1515	73	18	dependent	dependent	ADJ
ejpam-1515	73	19	only	only	ADV
ejpam-1515	73	20	on	on	ADP
ejpam-1515	73	21	�	�	PROPN
ejpam-1515	73	22	pi	pi	NOUN
ejpam-1515	73	23	.	.	PUNCT
ejpam-1515	74	1	the	the	DET
ejpam-1515	74	2	poisson	poisson	PROPN
ejpam-1515	74	3	bracket	bracket	NOUN
ejpam-1515	74	4	on	on	ADP
ejpam-1515	74	5	dual	dual	ADJ
ejpam-1515	74	6	lie	lie	NOUN
ejpam-1515	74	7	algebras	algebra	NOUN
ejpam-1515	74	8	can	can	AUX
ejpam-1515	74	9	thus	thus	ADV
ejpam-1515	74	10	be	be	AUX
ejpam-1515	74	11	written	write	VERB
ejpam-1515	74	12	as	as	ADP
ejpam-1515	74	13	�	�	PROPN
ejpam-1515	74	14	f	f	PROPN
ejpam-1515	74	15	�	�	PROPN
ejpam-1515	74	16	p	p	PROPN
ejpam-1515	74	17	�	�	PROPN
ejpam-1515	74	18	,	,	PUNCT
ejpam-1515	74	19	e	e	PROPN
ejpam-1515	74	20	�	�	PROPN
ejpam-1515	74	21	p	p	PROPN
ejpam-1515	74	22	�	�	PROPN
ejpam-1515	74	23	=	=	SYM
ejpam-1515	74	24	∂	∂	NUM
ejpam-1515	74	25	f	f	PROPN
ejpam-1515	74	26	�	�	PROPN
ejpam-1515	74	27	p	p	PROPN
ejpam-1515	74	28	�	�	PROPN
ejpam-1515	74	29	∂	∂	NUM
ejpam-1515	74	30	pi	pi	NOUN
ejpam-1515	74	31	¦	¦	PROPN
ejpam-1515	74	32	pi	pi	NOUN
ejpam-1515	74	33	,	,	PUNCT
ejpam-1515	74	34	p	p	PROPN
ejpam-1515	74	35	j	j	PROPN
ejpam-1515	74	36	©	©	PROPN
ejpam-1515	74	37	∂	∂	NUM
ejpam-1515	74	38	e	e	PROPN
ejpam-1515	74	39	�	�	PROPN
ejpam-1515	74	40	p	p	PROPN
ejpam-1515	74	41	�	�	PROPN
ejpam-1515	74	42	∂	∂	NUM
ejpam-1515	74	43	p	p	PROPN
ejpam-1515	74	44	j	j	PROPN
ejpam-1515	74	45	(	(	PUNCT
ejpam-1515	74	46	7	7	NUM
ejpam-1515	74	47	)	)	PUNCT
ejpam-1515	74	48	the	the	DET
ejpam-1515	74	49	structure	structure	NOUN
ejpam-1515	74	50	of	of	ADP
ejpam-1515	74	51	the	the	DET
ejpam-1515	74	52	vector	vector	NOUN
ejpam-1515	74	53	space	space	NOUN
ejpam-1515	74	54	influences	influence	VERB
ejpam-1515	74	55	the	the	DET
ejpam-1515	74	56	poisson	poisson	NOUN
ejpam-1515	74	57	bracket	bracket	NOUN
ejpam-1515	74	58	and	and	CCONJ
ejpam-1515	74	59	lie	lie	VERB
ejpam-1515	74	60	bracket	bracket	NOUN
ejpam-1515	74	61	so	so	SCONJ
ejpam-1515	74	62	one	one	PRON
ejpam-1515	74	63	might	might	AUX
ejpam-1515	74	64	expect	expect	VERB
ejpam-1515	74	65	a	a	DET
ejpam-1515	74	66	close	close	ADJ
ejpam-1515	74	67	relationship	relationship	NOUN
ejpam-1515	74	68	.	.	PUNCT
ejpam-1515	75	1	this	this	PRON
ejpam-1515	75	2	is	be	AUX
ejpam-1515	75	3	shown	show	VERB
ejpam-1515	75	4	in	in	ADP
ejpam-1515	75	5	the	the	DET
ejpam-1515	75	6	two	two	NUM
ejpam-1515	75	7	theorems	theorem	NOUN
ejpam-1515	75	8	which	which	PRON
ejpam-1515	75	9	follow	follow	VERB
ejpam-1515	75	10	.	.	PUNCT
ejpam-1515	76	1	theorem	theorem	NOUN
ejpam-1515	76	2	2	2	NUM
ejpam-1515	76	3	.	.	PUNCT
ejpam-1515	77	1	the	the	DET
ejpam-1515	77	2	relationships	relationship	NOUN
ejpam-1515	77	3	between	between	ADP
ejpam-1515	77	4	the	the	DET
ejpam-1515	77	5	lie	lie	NOUN
ejpam-1515	77	6	and	and	CCONJ
ejpam-1515	77	7	poisson	poisson	PROPN
ejpam-1515	77	8	bracket	bracket	NOUN
ejpam-1515	77	9	are	be	AUX
ejpam-1515	77	10	[	[	PUNCT
ejpam-1515	77	11	see	see	VERB
ejpam-1515	77	12	p69	p69	NOUN
ejpam-1515	77	13	of	of	ADP
ejpam-1515	77	14	9	9	NUM
ejpam-1515	77	15	]	]	SYM
ejpam-1515	77	16	:	:	PUNCT
ejpam-1515	77	17	�	�	PROPN
ejpam-1515	77	18	x	x	SYM
ejpam-1515	77	19	f	f	PROPN
ejpam-1515	77	20	,	,	PUNCT
ejpam-1515	77	21	xe	xe	PROPN
ejpam-1515	77	22	�	�	PROPN
ejpam-1515	77	23	=	=	PUNCT
ejpam-1515	77	24	−x{f	−x{f	X
ejpam-1515	77	25	,	,	PUNCT
ejpam-1515	77	26	e	e	NOUN
ejpam-1515	77	27	}	}	PUNCT
ejpam-1515	77	28	(	(	PUNCT
ejpam-1515	77	29	8)	8)	NUM
ejpam-1515	77	30	xg	xg	NOUN
ejpam-1515	77	31	=	=	SYM
ejpam-1515	77	32	�	�	PROPN
ejpam-1515	77	33	x	x	SYM
ejpam-1515	77	34	f	f	PROPN
ejpam-1515	77	35	,	,	PUNCT
ejpam-1515	77	36	xe	xe	PROPN
ejpam-1515	77	37	�	�	PROPN
ejpam-1515	77	38	whenever	whenever	SCONJ
ejpam-1515	77	39	g	g	PROPN
ejpam-1515	77	40	=	=	SYM
ejpam-1515	77	41	{	{	PUNCT
ejpam-1515	77	42	f	f	X
ejpam-1515	77	43	,	,	PUNCT
ejpam-1515	77	44	e	e	NOUN
ejpam-1515	77	45	}	}	PUNCT
ejpam-1515	77	46	(	(	PUNCT
ejpam-1515	77	47	9	9	X
ejpam-1515	77	48	)	)	PUNCT
ejpam-1515	77	49	proof	proof	NOUN
ejpam-1515	77	50	.	.	PUNCT
ejpam-1515	78	1	to	to	PART
ejpam-1515	78	2	prove	prove	VERB
ejpam-1515	78	3	equation	equation	NOUN
ejpam-1515	78	4	(	(	PUNCT
ejpam-1515	78	5	8)	8)	NUM
ejpam-1515	78	6	,	,	PUNCT
ejpam-1515	78	7	�	�	PROPN
ejpam-1515	78	8	x	x	SYM
ejpam-1515	78	9	f	f	PROPN
ejpam-1515	78	10	,	,	PUNCT
ejpam-1515	78	11	xe	xe	PROPN
ejpam-1515	78	12	�	�	PROPN
ejpam-1515	79	1	=	=	PUNCT
ejpam-1515	79	2	x	x	PROPN
ejpam-1515	79	3	f	f	PROPN
ejpam-1515	79	4	xe	xe	PROPN
ejpam-1515	79	5	−	−	PROPN
ejpam-1515	79	6	xex	xex	PROPN
ejpam-1515	79	7	f	f	PROPN
ejpam-1515	79	8	definition	definition	NOUN
ejpam-1515	79	9	of	of	ADP
ejpam-1515	79	10	lie	lie	NOUN
ejpam-1515	79	11	bracket	bracket	NOUN
ejpam-1515	79	12	=	=	SYM
ejpam-1515	79	13	{	{	PUNCT
ejpam-1515	79	14	f	f	X
ejpam-1515	79	15	,	,	PUNCT
ejpam-1515	79	16	·	·	PUNCT
ejpam-1515	79	17	}	}	PUNCT
ejpam-1515	79	18	{	{	PUNCT
ejpam-1515	79	19	e	e	NOUN
ejpam-1515	79	20	,	,	PUNCT
ejpam-1515	79	21	·	·	PUNCT
ejpam-1515	79	22	}	}	PUNCT
ejpam-1515	79	23	−	−	PROPN
ejpam-1515	79	24	{	{	PUNCT
ejpam-1515	79	25	e	e	NOUN
ejpam-1515	79	26	,	,	PUNCT
ejpam-1515	79	27	·	·	PUNCT
ejpam-1515	79	28	}	}	PUNCT
ejpam-1515	79	29	{	{	PUNCT
ejpam-1515	79	30	f	f	PROPN
ejpam-1515	79	31	,	,	PUNCT
ejpam-1515	79	32	·	·	PUNCT
ejpam-1515	79	33	}	}	PUNCT
ejpam-1515	79	34	definition	definition	NOUN
ejpam-1515	79	35	of	of	ADP
ejpam-1515	79	36	vector	vector	NOUN
ejpam-1515	79	37	fields	field	NOUN
ejpam-1515	79	38	=	=	SYM
ejpam-1515	79	39	{	{	PUNCT
ejpam-1515	79	40	f	f	PROPN
ejpam-1515	79	41	,	,	PUNCT
ejpam-1515	79	42	{	{	PUNCT
ejpam-1515	79	43	e	e	NOUN
ejpam-1515	79	44	,	,	PUNCT
ejpam-1515	79	45	·	·	PUNCT
ejpam-1515	79	46	}	}	PUNCT
ejpam-1515	79	47	}	}	PUNCT
ejpam-1515	79	48	−	−	PROPN
ejpam-1515	79	49	{	{	PUNCT
ejpam-1515	79	50	e	e	NOUN
ejpam-1515	79	51	,	,	PUNCT
ejpam-1515	79	52	{	{	PUNCT
ejpam-1515	79	53	f	f	X
ejpam-1515	79	54	,	,	PUNCT
ejpam-1515	79	55	·	·	PUNCT
ejpam-1515	79	56	}	}	PUNCT
ejpam-1515	79	57	}	}	PUNCT
ejpam-1515	79	58	substitution	substitution	NOUN
ejpam-1515	79	59	=	=	SYM
ejpam-1515	79	60	−{{f	−{{f	PROPN
ejpam-1515	79	61	,	,	PUNCT
ejpam-1515	79	62	e	e	NOUN
ejpam-1515	79	63	}	}	PUNCT
ejpam-1515	79	64	,	,	PUNCT
ejpam-1515	79	65	·	·	PUNCT
ejpam-1515	79	66	}	}	PUNCT
ejpam-1515	79	67	using	use	VERB
ejpam-1515	79	68	jacobi	jacobi	PROPN
ejpam-1515	79	69	identity	identity	NOUN
ejpam-1515	79	70	=	=	SYM
ejpam-1515	79	71	−x{f	−x{f	X
ejpam-1515	79	72	,	,	PUNCT
ejpam-1515	79	73	e	e	NOUN
ejpam-1515	79	74	}	}	PUNCT
ejpam-1515	79	75	to	to	PART
ejpam-1515	79	76	prove	prove	VERB
ejpam-1515	79	77	equation	equation	NOUN
ejpam-1515	79	78	(	(	PUNCT
ejpam-1515	79	79	9	9	NUM
ejpam-1515	79	80	)	)	PUNCT
ejpam-1515	79	81	,	,	PUNCT
ejpam-1515	79	82	�	�	PROPN
ejpam-1515	79	83	x	x	SYM
ejpam-1515	79	84	f	f	PROPN
ejpam-1515	79	85	,	,	PUNCT
ejpam-1515	79	86	xe	xe	PROPN
ejpam-1515	79	87	�	�	PROPN
ejpam-1515	80	1	f	f	PROPN
ejpam-1515	80	2	=	=	PUNCT
ejpam-1515	81	1	x	x	PUNCT
ejpam-1515	81	2	f	f	PROPN
ejpam-1515	81	3	xe	xe	PROPN
ejpam-1515	81	4	f	f	PROPN
ejpam-1515	82	1	−	−	PROPN
ejpam-1515	82	2	xex	xex	PROPN
ejpam-1515	82	3	f	f	PROPN
ejpam-1515	82	4	f	f	PROPN
ejpam-1515	82	5	from	from	ADP
ejpam-1515	82	6	definition	definition	NOUN
ejpam-1515	82	7	of	of	ADP
ejpam-1515	82	8	the	the	DET
ejpam-1515	82	9	lie	lie	NOUN
ejpam-1515	82	10	bracket	bracket	NOUN
ejpam-1515	82	11	=	=	SYM
ejpam-1515	82	12	�	�	PROPN
ejpam-1515	82	13	�	�	PROPN
ejpam-1515	82	14	f	f	PROPN
ejpam-1515	82	15	,	,	PUNCT
ejpam-1515	82	16	f	f	PROPN
ejpam-1515	82	17	,	,	PUNCT
ejpam-1515	82	18	e	e	PROPN
ejpam-1515	82	19	−	−	PROPN
ejpam-1515	82	20	�	�	PROPN
ejpam-1515	82	21	�	�	PROPN
ejpam-1515	82	22	f	f	PROPN
ejpam-1515	82	23	,	,	PUNCT
ejpam-1515	82	24	e	e	PROPN
ejpam-1515	82	25	,	,	PUNCT
ejpam-1515	82	26	f	f	PROPN
ejpam-1515	82	27	definition	definition	NOUN
ejpam-1515	82	28	of	of	ADP
ejpam-1515	82	29	vector	vector	NOUN
ejpam-1515	82	30	fields	field	NOUN
ejpam-1515	82	31	=	=	SYM
ejpam-1515	82	32	−	−	PROPN
ejpam-1515	82	33	�	�	PROPN
ejpam-1515	82	34	�	�	PROPN
ejpam-1515	82	35	e	e	PROPN
ejpam-1515	82	36	,	,	PUNCT
ejpam-1515	82	37	f	f	PROPN
ejpam-1515	82	38	,	,	PUNCT
ejpam-1515	82	39	f	f	PROPN
ejpam-1515	82	40	−	−	PROPN
ejpam-1515	82	41	�	�	PROPN
ejpam-1515	82	42	{	{	PUNCT
ejpam-1515	82	43	f	f	PROPN
ejpam-1515	82	44	,	,	PUNCT
ejpam-1515	82	45	e	e	NOUN
ejpam-1515	82	46	}	}	PUNCT
ejpam-1515	82	47	,	,	PUNCT
ejpam-1515	82	48	f	f	PROPN
ejpam-1515	82	49	−	−	PROPN
ejpam-1515	82	50	�	�	PROPN
ejpam-1515	82	51	�	�	PROPN
ejpam-1515	82	52	f	f	PROPN
ejpam-1515	82	53	,	,	PUNCT
ejpam-1515	82	54	e	e	PROPN
ejpam-1515	82	55	f	f	PROPN
ejpam-1515	82	56	=	=	SYM
ejpam-1515	82	57	�	�	PROPN
ejpam-1515	82	58	f	f	PROPN
ejpam-1515	82	59	,	,	PUNCT
ejpam-1515	82	60	{	{	PUNCT
ejpam-1515	82	61	f	f	X
ejpam-1515	82	62	,	,	PUNCT
ejpam-1515	82	63	e	e	VERB
ejpam-1515	82	64	}	}	PUNCT
ejpam-1515	82	65	using	use	VERB
ejpam-1515	82	66	jacobi	jacobi	PROPN
ejpam-1515	82	67	identity	identity	NOUN
ejpam-1515	82	68	=	=	SYM
ejpam-1515	82	69	x{f	x{f	PROPN
ejpam-1515	82	70	,	,	PUNCT
ejpam-1515	82	71	e	e	NOUN
ejpam-1515	82	72	}	}	PUNCT
ejpam-1515	82	73	f	f	NOUN
ejpam-1515	82	74	and	and	CCONJ
ejpam-1515	82	75	hence	hence	ADV
ejpam-1515	82	76	the	the	DET
ejpam-1515	82	77	result	result	NOUN
ejpam-1515	82	78	.	.	PUNCT
ejpam-1515	83	1	theorem	theorem	NOUN
ejpam-1515	83	2	3	3	X
ejpam-1515	83	3	.	.	PUNCT
ejpam-1515	84	1	if	if	SCONJ
ejpam-1515	84	2	�	�	PROPN
ejpam-1515	84	3	pi	pi	PROPN
ejpam-1515	84	4	are	be	AUX
ejpam-1515	84	5	the	the	DET
ejpam-1515	84	6	coordinates	coordinate	NOUN
ejpam-1515	84	7	using	use	VERB
ejpam-1515	84	8	the	the	DET
ejpam-1515	84	9	basis	basis	NOUN
ejpam-1515	84	10	¦	¦	NOUN
ejpam-1515	84	11	ei	ei	NOUN
ejpam-1515	84	12	©	©	PROPN
ejpam-1515	84	13	and	and	CCONJ
ejpam-1515	84	14	the	the	DET
ejpam-1515	84	15	structure	structure	NOUN
ejpam-1515	84	16	constants	constant	NOUN
ejpam-1515	84	17	are	be	AUX
ejpam-1515	84	18	defined	define	VERB
ejpam-1515	84	19	as	as	ADP
ejpam-1515	84	20	�	�	PROPN
ejpam-1515	84	21	ei	ei	PROPN
ejpam-1515	84	22	,	,	PUNCT
ejpam-1515	84	23	e	e	PROPN
ejpam-1515	84	24	j	j	PROPN
ejpam-1515	84	25	�	�	PROPN
ejpam-1515	84	26	=	=	PUNCT
ejpam-1515	84	27	ck	ck	INTJ
ejpam-1515	85	1	i	i	PRON
ejpam-1515	85	2	je	je	PROPN
ejpam-1515	85	3	k	k	NOUN
ejpam-1515	85	4	,	,	PUNCT
ejpam-1515	85	5	then	then	ADV
ejpam-1515	85	6	the	the	DET
ejpam-1515	85	7	relationships	relationship	NOUN
ejpam-1515	85	8	between	between	ADP
ejpam-1515	85	9	poisson	poisson	PROPN
ejpam-1515	85	10	bracket	bracket	NOUN
ejpam-1515	85	11	and	and	CCONJ
ejpam-1515	85	12	structure	structure	NOUN
ejpam-1515	85	13	constants	constant	NOUN
ejpam-1515	85	14	are	be	AUX
ejpam-1515	85	15	¦	¦	PROPN
ejpam-1515	85	16	pi	pi	NOUN
ejpam-1515	85	17	,	,	PUNCT
ejpam-1515	85	18	p	p	X
ejpam-1515	85	19	j	j	PROPN
ejpam-1515	85	20	©	©	PROPN
ejpam-1515	85	21	=	=	SYM
ejpam-1515	85	22	−ck	−ck	NOUN
ejpam-1515	86	1	i	i	PRON
ejpam-1515	86	2	j	j	PROPN
ejpam-1515	86	3	pk	pk	X
ejpam-1515	86	4	(	(	PUNCT
ejpam-1515	86	5	10	10	NUM
ejpam-1515	86	6	)	)	PUNCT
ejpam-1515	86	7	c.	c.	PROPN
ejpam-1515	86	8	linton	linton	PROPN
ejpam-1515	86	9	,	,	PUNCT
ejpam-1515	86	10	w.	w.	PROPN
ejpam-1515	86	11	holderbaum	holderbaum	PROPN
ejpam-1515	86	12	,	,	PUNCT
ejpam-1515	86	13	j.	j.	PROPN
ejpam-1515	86	14	biggs	biggs	PROPN
ejpam-1515	86	15	/	/	SYM
ejpam-1515	86	16	eur	eur	PROPN
ejpam-1515	86	17	.	.	PUNCT
ejpam-1515	87	1	j.	j.	PROPN
ejpam-1515	87	2	pure	pure	PROPN
ejpam-1515	87	3	appl	appl	PROPN
ejpam-1515	87	4	.	.	PROPN
ejpam-1515	87	5	math	math	PROPN
ejpam-1515	87	6	,	,	PUNCT
ejpam-1515	87	7	5	5	NUM
ejpam-1515	87	8	(	(	PUNCT
ejpam-1515	87	9	2012	2012	NUM
ejpam-1515	87	10	)	)	PUNCT
ejpam-1515	87	11	,	,	PUNCT
ejpam-1515	87	12	567	567	NUM
ejpam-1515	87	13	-	-	SYM
ejpam-1515	87	14	583	583	NUM
ejpam-1515	87	15	572	572	NUM
ejpam-1515	87	16	{	{	PUNCT
ejpam-1515	87	17	f	f	PROPN
ejpam-1515	87	18	,	,	PUNCT
ejpam-1515	87	19	e	e	NOUN
ejpam-1515	87	20	}	}	PUNCT
ejpam-1515	87	21	=	=	SYM
ejpam-1515	87	22	−ck	−ck	NOUN
ejpam-1515	88	1	i	i	PRON
ejpam-1515	88	2	j	j	PROPN
ejpam-1515	88	3	pk	pk	PROPN
ejpam-1515	88	4	∂	∂	PROPN
ejpam-1515	88	5	f	f	PROPN
ejpam-1515	88	6	∂	∂	NUM
ejpam-1515	88	7	pi	pi	NOUN
ejpam-1515	88	8	∂	∂	NOUN
ejpam-1515	88	9	e	e	NOUN
ejpam-1515	88	10	∂	∂	PROPN
ejpam-1515	88	11	p	p	PROPN
ejpam-1515	88	12	j	j	PROPN
ejpam-1515	88	13	(	(	PUNCT
ejpam-1515	88	14	11	11	NUM
ejpam-1515	88	15	)	)	PUNCT
ejpam-1515	88	16	(	(	PUNCT
ejpam-1515	88	17	this	this	PRON
ejpam-1515	88	18	is	be	AUX
ejpam-1515	88	19	the	the	DET
ejpam-1515	88	20	lie	lie	NOUN
ejpam-1515	88	21	-	-	PUNCT
ejpam-1515	88	22	poisson	poisson	NOUN
ejpam-1515	88	23	bracket	bracket	NOUN
ejpam-1515	89	1	[	[	X
ejpam-1515	89	2	see	see	VERB
ejpam-1515	89	3	p131	p131	PROPN
ejpam-1515	89	4	of	of	ADP
ejpam-1515	89	5	4	4	NUM
ejpam-1515	89	6	]	]	PUNCT
ejpam-1515	89	7	)	)	PUNCT
ejpam-1515	89	8	proof	proof	NOUN
ejpam-1515	89	9	.	.	PUNCT
ejpam-1515	90	1	to	to	PART
ejpam-1515	90	2	prove	prove	VERB
ejpam-1515	90	3	equation	equation	NOUN
ejpam-1515	90	4	(	(	PUNCT
ejpam-1515	90	5	10	10	NUM
ejpam-1515	90	6	)	)	PUNCT
ejpam-1515	90	7	,	,	PUNCT
ejpam-1515	90	8	define	define	VERB
ejpam-1515	90	9	a	a	DET
ejpam-1515	90	10	linear	linear	ADJ
ejpam-1515	90	11	map	map	NOUN
ejpam-1515	90	12	p̂	p̂	X
ejpam-1515	90	13	�	�	X
ejpam-1515	90	14	ei	ei	X
ejpam-1515	90	15	�	�	PROPN
ejpam-1515	90	16	=	=	PUNCT
ejpam-1515	90	17	p̂ei	p̂ei	NOUN
ejpam-1515	90	18	=	=	NOUN
ejpam-1515	90	19	pie	pie	NOUN
ejpam-1515	90	20	i	i	PRON
ejpam-1515	90	21	.	.	PUNCT
ejpam-1515	91	1	using	use	VERB
ejpam-1515	91	2	theorem	theorem	ADJ
ejpam-1515	91	3	2	2	NUM
ejpam-1515	91	4	and	and	CCONJ
ejpam-1515	91	5	substituting	substitute	VERB
ejpam-1515	91	6	x	x	PUNCT
ejpam-1515	91	7	i	i	PRON
ejpam-1515	91	8	=	=	PUNCT
ejpam-1515	91	9	ei	ei	NOUN
ejpam-1515	91	10	gives	give	VERB
ejpam-1515	91	11	p̂{ei	p̂{ei	NOUN
ejpam-1515	91	12	,	,	PUNCT
ejpam-1515	91	13	e	e	X
ejpam-1515	91	14	j	j	PROPN
ejpam-1515	91	15	}	}	PUNCT
ejpam-1515	91	16	=	=	SYM
ejpam-1515	91	17	p̂	p̂	NOUN
ejpam-1515	91	18	�	�	NOUN
ejpam-1515	91	19	¦	¦	NOUN
ejpam-1515	91	20	ei	ei	X
ejpam-1515	91	21	,	,	PUNCT
ejpam-1515	91	22	e	e	PROPN
ejpam-1515	91	23	j	j	PROPN
ejpam-1515	91	24	©	©	PROPN
ejpam-1515	91	25	�	�	PROPN
ejpam-1515	91	26	notation	notation	NOUN
ejpam-1515	91	27	=	=	SYM
ejpam-1515	91	28	−	−	PROPN
ejpam-1515	91	29	�	�	PROPN
ejpam-1515	91	30	p̂	p̂	X
ejpam-1515	91	31	�	�	PROPN
ejpam-1515	91	32	ei	ei	X
ejpam-1515	91	33	�	�	PROPN
ejpam-1515	91	34	,	,	PUNCT
ejpam-1515	91	35	p̂	p̂	X
ejpam-1515	91	36	�	�	PROPN
ejpam-1515	91	37	e	e	PROPN
ejpam-1515	91	38	j	j	PROPN
ejpam-1515	91	39	�	�	PROPN
ejpam-1515	91	40	�	�	PROPN
ejpam-1515	91	41	see	see	VERB
ejpam-1515	91	42	above	above	ADV
ejpam-1515	91	43	=	=	SYM
ejpam-1515	91	44	−p̂	−p̂	PROPN
ejpam-1515	91	45	�	�	PROPN
ejpam-1515	91	46	�	�	PROPN
ejpam-1515	91	47	ei	ei	PROPN
ejpam-1515	91	48	,	,	PUNCT
ejpam-1515	91	49	e	e	PROPN
ejpam-1515	91	50	j	j	PROPN
ejpam-1515	91	51	�	�	PROPN
ejpam-1515	91	52	�	�	PROPN
ejpam-1515	91	53	p̂	p̂	NOUN
ejpam-1515	91	54	is	be	AUX
ejpam-1515	91	55	a	a	DET
ejpam-1515	91	56	linear	linear	ADJ
ejpam-1515	91	57	operator	operator	NOUN
ejpam-1515	91	58	=	=	SYM
ejpam-1515	91	59	−p̂	−p̂	PROPN
ejpam-1515	91	60	�	�	PROPN
ejpam-1515	91	61	ck	ck	INTJ
ejpam-1515	92	1	i	i	PRON
ejpam-1515	92	2	j	j	PROPN
ejpam-1515	92	3	ek	ek	PROPN
ejpam-1515	92	4	�	�	PROPN
ejpam-1515	92	5	definition	definition	NOUN
ejpam-1515	92	6	of	of	ADP
ejpam-1515	92	7	structure	structure	NOUN
ejpam-1515	92	8	constants	constant	NOUN
ejpam-1515	92	9	=	=	SYM
ejpam-1515	93	1	−ck	−ck	NOUN
ejpam-1515	94	1	i	i	PRON
ejpam-1515	94	2	j	j	PROPN
ejpam-1515	94	3	p̂	p̂	X
ejpam-1515	94	4	�	�	PROPN
ejpam-1515	94	5	ek	ek	PROPN
ejpam-1515	94	6	�	�	PROPN
ejpam-1515	94	7	=	=	PUNCT
ejpam-1515	95	1	−ck	−ck	PROPN
ejpam-1515	96	1	i	i	PRON
ejpam-1515	96	2	j	j	PROPN
ejpam-1515	96	3	p̂k	p̂k	NOUN
ejpam-1515	96	4	hence	hence	ADV
ejpam-1515	96	5	¦	¦	PROPN
ejpam-1515	96	6	pi	pi	NOUN
ejpam-1515	96	7	,	,	PUNCT
ejpam-1515	96	8	p	p	X
ejpam-1515	96	9	j	j	PROPN
ejpam-1515	96	10	©	©	PROPN
ejpam-1515	96	11	=	=	SYM
ejpam-1515	96	12	−ck	−ck	NOUN
ejpam-1515	97	1	i	i	PRON
ejpam-1515	97	2	j	j	PROPN
ejpam-1515	97	3	pk	pk	VERB
ejpam-1515	97	4	to	to	PART
ejpam-1515	97	5	prove	prove	VERB
ejpam-1515	97	6	equation	equation	NOUN
ejpam-1515	97	7	(	(	PUNCT
ejpam-1515	97	8	11	11	NUM
ejpam-1515	97	9	)	)	PUNCT
ejpam-1515	97	10	,	,	PUNCT
ejpam-1515	97	11	take	take	VERB
ejpam-1515	97	12	{	{	PUNCT
ejpam-1515	97	13	f	f	NOUN
ejpam-1515	97	14	,	,	PUNCT
ejpam-1515	97	15	e	e	NOUN
ejpam-1515	97	16	}	}	PUNCT
ejpam-1515	97	17	=	=	SYM
ejpam-1515	97	18	∂	∂	NUM
ejpam-1515	97	19	f	f	PROPN
ejpam-1515	97	20	∂	∂	NUM
ejpam-1515	97	21	pi	pi	NOUN
ejpam-1515	97	22	¦	¦	PROPN
ejpam-1515	97	23	pi	pi	NOUN
ejpam-1515	97	24	,	,	PUNCT
ejpam-1515	97	25	p	p	PROPN
ejpam-1515	97	26	j	j	PROPN
ejpam-1515	98	1	©	©	PROPN
ejpam-1515	98	2	∂	∂	NUM
ejpam-1515	98	3	e	e	NOUN
ejpam-1515	98	4	∂	∂	NOUN
ejpam-1515	98	5	p	p	X
ejpam-1515	98	6	j	j	PROPN
ejpam-1515	98	7	using	use	VERB
ejpam-1515	98	8	equation	equation	NOUN
ejpam-1515	98	9	(	(	PUNCT
ejpam-1515	98	10	7	7	NUM
ejpam-1515	98	11	)	)	PUNCT
ejpam-1515	98	12	=	=	SYM
ejpam-1515	99	1	−	−	PROPN
ejpam-1515	99	2	∂	∂	NOUN
ejpam-1515	99	3	f	f	PROPN
ejpam-1515	99	4	∂	∂	NUM
ejpam-1515	99	5	pi	pi	NOUN
ejpam-1515	99	6	ck	ck	INTJ
ejpam-1515	100	1	i	i	PRON
ejpam-1515	100	2	j	j	PROPN
ejpam-1515	100	3	pk	pk	PROPN
ejpam-1515	100	4	∂	∂	NOUN
ejpam-1515	100	5	e	e	NOUN
ejpam-1515	100	6	∂	∂	PROPN
ejpam-1515	100	7	p	p	X
ejpam-1515	100	8	j	j	PROPN
ejpam-1515	100	9	using	use	VERB
ejpam-1515	100	10	equation	equation	NOUN
ejpam-1515	100	11	(	(	PUNCT
ejpam-1515	100	12	10	10	NUM
ejpam-1515	100	13	)	)	PUNCT
ejpam-1515	100	14	.	.	PUNCT
ejpam-1515	101	1	this	this	DET
ejpam-1515	101	2	section	section	NOUN
ejpam-1515	101	3	has	have	AUX
ejpam-1515	101	4	introduced	introduce	VERB
ejpam-1515	101	5	functions	function	NOUN
ejpam-1515	101	6	on	on	ADP
ejpam-1515	101	7	the	the	DET
ejpam-1515	101	8	dual	dual	ADJ
ejpam-1515	101	9	lie	lie	NOUN
ejpam-1515	101	10	algebra	algebra	NOUN
ejpam-1515	101	11	and	and	CCONJ
ejpam-1515	101	12	the	the	DET
ejpam-1515	101	13	vector	vector	NOUN
ejpam-1515	101	14	fields	field	NOUN
ejpam-1515	101	15	which	which	PRON
ejpam-1515	101	16	they	they	PRON
ejpam-1515	101	17	induce	induce	VERB
ejpam-1515	101	18	.	.	PUNCT
ejpam-1515	102	1	the	the	DET
ejpam-1515	102	2	close	close	ADJ
ejpam-1515	102	3	relationship	relationship	NOUN
ejpam-1515	102	4	of	of	ADP
ejpam-1515	102	5	the	the	DET
ejpam-1515	102	6	poisson	poisson	NOUN
ejpam-1515	102	7	bracket	bracket	NOUN
ejpam-1515	102	8	with	with	ADP
ejpam-1515	102	9	the	the	DET
ejpam-1515	102	10	structure	structure	NOUN
ejpam-1515	102	11	constants	constant	NOUN
ejpam-1515	102	12	shows	show	VERB
ejpam-1515	102	13	how	how	SCONJ
ejpam-1515	102	14	the	the	DET
ejpam-1515	102	15	functions	function	NOUN
ejpam-1515	102	16	interact	interact	VERB
ejpam-1515	102	17	.	.	PUNCT
ejpam-1515	103	1	in	in	ADP
ejpam-1515	103	2	the	the	DET
ejpam-1515	103	3	next	next	ADJ
ejpam-1515	103	4	section	section	NOUN
ejpam-1515	103	5	,	,	PUNCT
ejpam-1515	103	6	functions	function	NOUN
ejpam-1515	103	7	are	be	AUX
ejpam-1515	103	8	found	find	VERB
ejpam-1515	103	9	which	which	PRON
ejpam-1515	103	10	do	do	AUX
ejpam-1515	103	11	n’t	not	PART
ejpam-1515	103	12	interact	interact	VERB
ejpam-1515	103	13	with	with	ADP
ejpam-1515	103	14	other	other	ADJ
ejpam-1515	103	15	functions	function	NOUN
ejpam-1515	103	16	.	.	PUNCT
ejpam-1515	104	1	these	these	PRON
ejpam-1515	104	2	are	be	AUX
ejpam-1515	104	3	the	the	DET
ejpam-1515	104	4	invariant	invariant	ADJ
ejpam-1515	104	5	casimirs	casimir	NOUN
ejpam-1515	104	6	.	.	PUNCT
ejpam-1515	105	1	the	the	DET
ejpam-1515	105	2	action	action	NOUN
ejpam-1515	105	3	of	of	ADP
ejpam-1515	105	4	a	a	DET
ejpam-1515	105	5	hamiltonian	hamiltonian	ADJ
ejpam-1515	105	6	function	function	NOUN
ejpam-1515	105	7	is	be	AUX
ejpam-1515	105	8	covered	cover	VERB
ejpam-1515	105	9	in	in	ADP
ejpam-1515	105	10	section	section	NOUN
ejpam-1515	105	11	5	5	NUM
ejpam-1515	105	12	.	.	SYM
ejpam-1515	105	13	4	4	NUM
ejpam-1515	105	14	.	.	X
ejpam-1515	105	15	casimir	casimir	NOUN
ejpam-1515	105	16	invariants	invariant	VERB
ejpam-1515	105	17	the	the	DET
ejpam-1515	105	18	casimir	casimir	PROPN
ejpam-1515	105	19	invariant	invariant	PROPN
ejpam-1515	105	20	functions	function	NOUN
ejpam-1515	105	21	are	be	AUX
ejpam-1515	105	22	functions	function	NOUN
ejpam-1515	105	23	on	on	ADP
ejpam-1515	105	24	the	the	DET
ejpam-1515	105	25	dual	dual	ADJ
ejpam-1515	105	26	of	of	ADP
ejpam-1515	105	27	the	the	DET
ejpam-1515	105	28	lie	lie	NOUN
ejpam-1515	105	29	algebra	algebra	NOUN
ejpam-1515	105	30	that	that	PRON
ejpam-1515	105	31	depend	depend	VERB
ejpam-1515	105	32	only	only	ADV
ejpam-1515	105	33	on	on	ADP
ejpam-1515	105	34	the	the	DET
ejpam-1515	105	35	algebra	algebra	NOUN
ejpam-1515	105	36	involved	involve	VERB
ejpam-1515	105	37	.	.	PUNCT
ejpam-1515	106	1	examples	example	NOUN
ejpam-1515	106	2	of	of	ADP
ejpam-1515	106	3	their	their	PRON
ejpam-1515	106	4	use	use	NOUN
ejpam-1515	106	5	can	can	AUX
ejpam-1515	106	6	be	be	AUX
ejpam-1515	106	7	found	find	VERB
ejpam-1515	106	8	in	in	ADP
ejpam-1515	106	9	[	[	X
ejpam-1515	106	10	p	p	X
ejpam-1515	106	11	314	314	NUM
ejpam-1515	106	12	of	of	ADP
ejpam-1515	106	13	9	9	NUM
ejpam-1515	106	14	]	]	PUNCT
ejpam-1515	106	15	,	,	PUNCT
ejpam-1515	106	16	[	[	X
ejpam-1515	106	17	12	12	NUM
ejpam-1515	106	18	]	]	PUNCT
ejpam-1515	106	19	,	,	PUNCT
ejpam-1515	107	1	[	[	X
ejpam-1515	107	2	16	16	NUM
ejpam-1515	107	3	]	]	PUNCT
ejpam-1515	107	4	and	and	CCONJ
ejpam-1515	107	5	[	[	X
ejpam-1515	107	6	2	2	NUM
ejpam-1515	107	7	]	]	PUNCT
ejpam-1515	107	8	.	.	PUNCT
ejpam-1515	108	1	they	they	PRON
ejpam-1515	108	2	invoke	invoke	VERB
ejpam-1515	108	3	the	the	DET
ejpam-1515	108	4	symmetry	symmetry	NOUN
ejpam-1515	108	5	of	of	ADP
ejpam-1515	108	6	the	the	DET
ejpam-1515	108	7	group	group	NOUN
ejpam-1515	108	8	which	which	PRON
ejpam-1515	108	9	reflects	reflect	VERB
ejpam-1515	108	10	the	the	DET
ejpam-1515	108	11	inherent	inherent	ADJ
ejpam-1515	108	12	conservation	conservation	NOUN
ejpam-1515	108	13	laws	law	NOUN
ejpam-1515	108	14	,	,	PUNCT
ejpam-1515	108	15	and	and	CCONJ
ejpam-1515	108	16	determine	determine	VERB
ejpam-1515	108	17	the	the	DET
ejpam-1515	108	18	format	format	NOUN
ejpam-1515	108	19	of	of	ADP
ejpam-1515	108	20	the	the	DET
ejpam-1515	108	21	solutions	solution	NOUN
ejpam-1515	108	22	to	to	ADP
ejpam-1515	108	23	any	any	DET
ejpam-1515	108	24	problems	problem	NOUN
ejpam-1515	108	25	posed	pose	VERB
ejpam-1515	108	26	in	in	ADP
ejpam-1515	108	27	that	that	DET
ejpam-1515	108	28	symmetry	symmetry	NOUN
ejpam-1515	108	29	.	.	PUNCT
ejpam-1515	109	1	the	the	DET
ejpam-1515	109	2	defining	define	VERB
ejpam-1515	109	3	property	property	NOUN
ejpam-1515	109	4	of	of	ADP
ejpam-1515	109	5	a	a	DET
ejpam-1515	109	6	casimir	casimir	NOUN
ejpam-1515	109	7	functions	function	NOUN
ejpam-1515	109	8	is	be	AUX
ejpam-1515	109	9	provided	provide	VERB
ejpam-1515	109	10	.	.	PUNCT
ejpam-1515	110	1	a	a	DET
ejpam-1515	110	2	necessary	necessary	ADJ
ejpam-1515	110	3	requirement	requirement	NOUN
ejpam-1515	110	4	of	of	ADP
ejpam-1515	110	5	them	they	PRON
ejpam-1515	110	6	is	be	AUX
ejpam-1515	110	7	identified	identify	VERB
ejpam-1515	110	8	as	as	ADV
ejpam-1515	110	9	well	well	ADV
ejpam-1515	110	10	as	as	ADP
ejpam-1515	110	11	a	a	DET
ejpam-1515	110	12	theorem	theorem	NOUN
ejpam-1515	110	13	on	on	ADP
ejpam-1515	110	14	finding	find	VERB
ejpam-1515	110	15	further	further	ADJ
ejpam-1515	110	16	examples	example	NOUN
ejpam-1515	110	17	.	.	PUNCT
ejpam-1515	111	1	this	this	DET
ejpam-1515	111	2	information	information	NOUN
ejpam-1515	111	3	is	be	AUX
ejpam-1515	111	4	used	use	VERB
ejpam-1515	111	5	to	to	PART
ejpam-1515	111	6	find	find	VERB
ejpam-1515	111	7	the	the	DET
ejpam-1515	111	8	casimir	casimir	NOUN
ejpam-1515	111	9	functions	function	NOUN
ejpam-1515	111	10	for	for	ADP
ejpam-1515	111	11	some	some	DET
ejpam-1515	111	12	3	3	NUM
ejpam-1515	111	13	dimensional	dimensional	ADJ
ejpam-1515	111	14	lie	lie	NOUN
ejpam-1515	111	15	algebras	algebra	NOUN
ejpam-1515	111	16	.	.	PUNCT
ejpam-1515	112	1	the	the	DET
ejpam-1515	112	2	basic	basic	ADJ
ejpam-1515	112	3	casimirs	casimir	NOUN
ejpam-1515	112	4	functions	function	NOUN
ejpam-1515	112	5	for	for	ADP
ejpam-1515	112	6	other	other	ADJ
ejpam-1515	112	7	algebras	algebra	NOUN
ejpam-1515	112	8	are	be	AUX
ejpam-1515	112	9	shown	show	VERB
ejpam-1515	112	10	in	in	ADP
ejpam-1515	112	11	the	the	DET
ejpam-1515	112	12	appendix	appendix	NOUN
ejpam-1515	112	13	.	.	PUNCT
ejpam-1515	113	1	the	the	DET
ejpam-1515	113	2	maximal	maximal	ADJ
ejpam-1515	113	3	number	number	NOUN
ejpam-1515	113	4	of	of	ADP
ejpam-1515	113	5	casimirs	casimir	NOUN
ejpam-1515	113	6	is	be	AUX
ejpam-1515	113	7	determined	determine	VERB
ejpam-1515	113	8	by	by	ADP
ejpam-1515	113	9	the	the	DET
ejpam-1515	113	10	rank	rank	NOUN
ejpam-1515	113	11	of	of	ADP
ejpam-1515	113	12	the	the	DET
ejpam-1515	113	13	lie	lie	NOUN
ejpam-1515	113	14	algebra	algebra	NOUN
ejpam-1515	113	15	[	[	X
ejpam-1515	113	16	p53	p53	NOUN
ejpam-1515	113	17	of	of	ADP
ejpam-1515	113	18	11	11	NUM
ejpam-1515	113	19	]	]	PUNCT
ejpam-1515	113	20	.	.	PUNCT
ejpam-1515	114	1	the	the	DET
ejpam-1515	114	2	section	section	NOUN
ejpam-1515	114	3	ends	end	VERB
ejpam-1515	114	4	by	by	ADP
ejpam-1515	114	5	identifying	identify	VERB
ejpam-1515	114	6	the	the	DET
ejpam-1515	114	7	associated	associated	ADJ
ejpam-1515	114	8	invariant	invariant	ADJ
ejpam-1515	114	9	vectors	vector	NOUN
ejpam-1515	114	10	.	.	PUNCT
ejpam-1515	115	1	definition	definition	NOUN
ejpam-1515	115	2	4	4	NUM
ejpam-1515	115	3	.	.	PUNCT
ejpam-1515	115	4	casimir	casimir	PROPN
ejpam-1515	115	5	invariant	invariant	PROPN
ejpam-1515	115	6	functions	function	NOUN
ejpam-1515	115	7	c	c	NOUN
ejpam-1515	115	8	(	(	PUNCT
ejpam-1515	115	9	also	also	ADV
ejpam-1515	115	10	known	know	VERB
ejpam-1515	115	11	as	as	ADP
ejpam-1515	115	12	distinguished	distinguished	ADJ
ejpam-1515	115	13	functions	function	NOUN
ejpam-1515	115	14	or	or	CCONJ
ejpam-1515	115	15	casimir	casimir	NOUN
ejpam-1515	115	16	functions	function	NOUN
ejpam-1515	115	17	)	)	PUNCT
ejpam-1515	115	18	are	be	AUX
ejpam-1515	115	19	defined	define	VERB
ejpam-1515	115	20	as	as	ADP
ejpam-1515	115	21	functions	function	NOUN
ejpam-1515	115	22	which	which	PRON
ejpam-1515	115	23	poisson	poisson	NOUN
ejpam-1515	115	24	commute	commute	VERB
ejpam-1515	115	25	with	with	ADP
ejpam-1515	115	26	all	all	DET
ejpam-1515	115	27	other	other	ADJ
ejpam-1515	115	28	functions	function	NOUN
ejpam-1515	115	29	on	on	ADP
ejpam-1515	115	30	that	that	DET
ejpam-1515	115	31	space	space	NOUN
ejpam-1515	115	32	.	.	PUNCT
ejpam-1515	116	1	that	that	PRON
ejpam-1515	116	2	is	be	AUX
ejpam-1515	116	3	{	{	PUNCT
ejpam-1515	116	4	c	c	NOUN
ejpam-1515	116	5	,	,	PUNCT
ejpam-1515	116	6	f	f	X
ejpam-1515	116	7	}	}	PUNCT
ejpam-1515	116	8	=	=	SYM
ejpam-1515	116	9	0	0	NUM
ejpam-1515	116	10	for	for	ADP
ejpam-1515	116	11	all	all	DET
ejpam-1515	116	12	functions	function	NOUN
ejpam-1515	116	13	f	f	PROPN
ejpam-1515	116	14	on	on	ADP
ejpam-1515	116	15	g∗	g∗	PROPN
ejpam-1515	116	16	[	[	X
ejpam-1515	116	17	p132	p132	PROPN
ejpam-1515	116	18	of	of	ADP
ejpam-1515	116	19	4	4	NUM
ejpam-1515	116	20	]	]	PUNCT
ejpam-1515	116	21	.	.	PUNCT
ejpam-1515	117	1	since	since	SCONJ
ejpam-1515	117	2	on	on	ADP
ejpam-1515	117	3	g∗	g∗	PROPN
ejpam-1515	117	4	,	,	PUNCT
ejpam-1515	117	5	a	a	DET
ejpam-1515	117	6	casimir	casimir	NOUN
ejpam-1515	117	7	has	have	VERB
ejpam-1515	117	8	the	the	DET
ejpam-1515	117	9	property	property	NOUN
ejpam-1515	117	10	that	that	PRON
ejpam-1515	117	11	{	{	PUNCT
ejpam-1515	117	12	c	c	NOUN
ejpam-1515	117	13	,	,	PUNCT
ejpam-1515	117	14	f	f	X
ejpam-1515	117	15	}	}	PUNCT
ejpam-1515	117	16	=	=	SYM
ejpam-1515	118	1	−ck	−ck	NOUN
ejpam-1515	119	1	i	i	PRON
ejpam-1515	119	2	j	j	PROPN
ejpam-1515	119	3	pk	pk	PROPN
ejpam-1515	119	4	∂	∂	PROPN
ejpam-1515	119	5	c	c	PROPN
ejpam-1515	119	6	∂	∂	NUM
ejpam-1515	119	7	pi	pi	PROPN
ejpam-1515	119	8	∂	∂	PROPN
ejpam-1515	119	9	f	f	PROPN
ejpam-1515	119	10	∂	∂	PROPN
ejpam-1515	119	11	p	p	NOUN
ejpam-1515	119	12	j	j	PROPN
ejpam-1515	119	13	=	=	SYM
ejpam-1515	119	14	0	0	PROPN
ejpam-1515	119	15	c.	c.	PROPN
ejpam-1515	119	16	linton	linton	PROPN
ejpam-1515	119	17	,	,	PUNCT
ejpam-1515	119	18	w.	w.	PROPN
ejpam-1515	119	19	holderbaum	holderbaum	PROPN
ejpam-1515	119	20	,	,	PUNCT
ejpam-1515	119	21	j.	j.	PROPN
ejpam-1515	119	22	biggs	biggs	PROPN
ejpam-1515	119	23	/	/	SYM
ejpam-1515	119	24	eur	eur	PROPN
ejpam-1515	119	25	.	.	PUNCT
ejpam-1515	120	1	j.	j.	PROPN
ejpam-1515	120	2	pure	pure	PROPN
ejpam-1515	120	3	appl	appl	PROPN
ejpam-1515	120	4	.	.	PROPN
ejpam-1515	120	5	math	math	PROPN
ejpam-1515	120	6	,	,	PUNCT
ejpam-1515	120	7	5	5	NUM
ejpam-1515	120	8	(	(	PUNCT
ejpam-1515	120	9	2012	2012	NUM
ejpam-1515	120	10	)	)	PUNCT
ejpam-1515	120	11	,	,	PUNCT
ejpam-1515	120	12	567	567	NUM
ejpam-1515	120	13	-	-	SYM
ejpam-1515	120	14	583	583	NUM
ejpam-1515	120	15	573	573	NUM
ejpam-1515	120	16	for	for	ADP
ejpam-1515	120	17	all	all	DET
ejpam-1515	120	18	f	f	PROPN
ejpam-1515	120	19	,	,	PUNCT
ejpam-1515	120	20	the	the	DET
ejpam-1515	120	21	requirement	requirement	NOUN
ejpam-1515	120	22	is	be	AUX
ejpam-1515	120	23	for	for	ADP
ejpam-1515	120	24	∑	∑	PROPN
ejpam-1515	120	25	i	i	PROPN
ejpam-1515	120	26	,	,	PUNCT
ejpam-1515	120	27	k	k	PROPN
ejpam-1515	120	28	ck	ck	INTJ
ejpam-1515	121	1	i	i	PRON
ejpam-1515	121	2	j	j	PROPN
ejpam-1515	121	3	pk	pk	PROPN
ejpam-1515	121	4	∂	∂	PROPN
ejpam-1515	121	5	c	c	NOUN
ejpam-1515	121	6	∂	∂	NOUN
ejpam-1515	121	7	pi	pi	NOUN
ejpam-1515	121	8	=	=	SYM
ejpam-1515	121	9	0	0	NUM
ejpam-1515	121	10	(	(	PUNCT
ejpam-1515	121	11	12	12	NUM
ejpam-1515	121	12	)	)	PUNCT
ejpam-1515	121	13	for	for	ADP
ejpam-1515	121	14	all	all	DET
ejpam-1515	121	15	j	j	NOUN
ejpam-1515	121	16	,	,	PUNCT
ejpam-1515	121	17	where	where	SCONJ
ejpam-1515	121	18	all	all	DET
ejpam-1515	121	19	the	the	DET
ejpam-1515	121	20	indices	index	NOUN
ejpam-1515	121	21	range	range	VERB
ejpam-1515	121	22	over	over	ADP
ejpam-1515	121	23	the	the	DET
ejpam-1515	121	24	dimension	dimension	NOUN
ejpam-1515	121	25	of	of	ADP
ejpam-1515	121	26	the	the	DET
ejpam-1515	121	27	algebra	algebra	NOUN
ejpam-1515	121	28	.	.	PUNCT
ejpam-1515	122	1	this	this	PRON
ejpam-1515	122	2	can	can	AUX
ejpam-1515	122	3	be	be	AUX
ejpam-1515	122	4	used	use	VERB
ejpam-1515	122	5	to	to	PART
ejpam-1515	122	6	find	find	VERB
ejpam-1515	122	7	the	the	DET
ejpam-1515	122	8	basic	basic	ADJ
ejpam-1515	122	9	casimir	casimir	NOUN
ejpam-1515	122	10	functions	function	NOUN
ejpam-1515	122	11	,	,	PUNCT
ejpam-1515	122	12	some	some	PRON
ejpam-1515	122	13	of	of	ADP
ejpam-1515	122	14	which	which	PRON
ejpam-1515	122	15	as	as	SCONJ
ejpam-1515	122	16	given	give	VERB
ejpam-1515	122	17	in	in	ADP
ejpam-1515	122	18	the	the	DET
ejpam-1515	122	19	appendix	appendix	NOUN
ejpam-1515	122	20	.	.	PUNCT
ejpam-1515	123	1	as	as	ADP
ejpam-1515	123	2	an	an	DET
ejpam-1515	123	3	example	example	NOUN
ejpam-1515	123	4	,	,	PUNCT
ejpam-1515	123	5	the	the	DET
ejpam-1515	123	6	next	next	ADJ
ejpam-1515	123	7	theorem	theorem	NOUN
ejpam-1515	123	8	determines	determine	VERB
ejpam-1515	123	9	the	the	DET
ejpam-1515	123	10	casimir	casimir	NOUN
ejpam-1515	123	11	for	for	ADP
ejpam-1515	123	12	so(3	so(3	NOUN
ejpam-1515	123	13	)	)	PUNCT
ejpam-1515	123	14	which	which	PRON
ejpam-1515	123	15	is	be	AUX
ejpam-1515	123	16	the	the	DET
ejpam-1515	123	17	conservation	conservation	NOUN
ejpam-1515	123	18	of	of	ADP
ejpam-1515	123	19	angular	angular	ADJ
ejpam-1515	123	20	momentum	momentum	NOUN
ejpam-1515	123	21	.	.	PUNCT
ejpam-1515	124	1	theorem	theorem	VERB
ejpam-1515	124	2	4	4	NUM
ejpam-1515	124	3	.	.	NOUN
ejpam-1515	124	4	for	for	ADP
ejpam-1515	124	5	so(3	so(3	NOUN
ejpam-1515	124	6	)	)	PUNCT
ejpam-1515	124	7	,	,	PUNCT
ejpam-1515	124	8	the	the	DET
ejpam-1515	124	9	casimir	casimir	NOUN
ejpam-1515	124	10	invariant	invariant	PROPN
ejpam-1515	124	11	is	be	AUX
ejpam-1515	124	12	c2	c2	PROPN
ejpam-1515	124	13	=	=	SYM
ejpam-1515	124	14	3	3	NUM
ejpam-1515	124	15	∑	∑	PROPN
ejpam-1515	124	16	i=1	i=1	PROPN
ejpam-1515	124	17	p2	p2	PROPN
ejpam-1515	124	18	i	i	PRON
ejpam-1515	124	19	proof	proof	VERB
ejpam-1515	124	20	.	.	PUNCT
ejpam-1515	125	1	with	with	ADP
ejpam-1515	125	2	c	c	PROPN
ejpam-1515	125	3	=	=	SYM
ejpam-1515	125	4	∑3	∑3	PROPN
ejpam-1515	125	5	i=1	i=1	PROPN
ejpam-1515	125	6	p2	p2	PROPN
ejpam-1515	126	1	i	i	PRON
ejpam-1515	126	2	,	,	PUNCT
ejpam-1515	126	3	for	for	ADP
ejpam-1515	126	4	j=1	j=1	PROPN
ejpam-1515	126	5	,	,	PUNCT
ejpam-1515	126	6	∑	∑	PROPN
ejpam-1515	126	7	i	i	PRON
ejpam-1515	126	8	,	,	PUNCT
ejpam-1515	126	9	k	k	PROPN
ejpam-1515	126	10	ck	ck	INTJ
ejpam-1515	126	11	i	i	PRON
ejpam-1515	126	12	j	j	PROPN
ejpam-1515	126	13	pk	pk	PROPN
ejpam-1515	126	14	∂	∂	PROPN
ejpam-1515	126	15	c	c	NOUN
ejpam-1515	126	16	∂	∂	NOUN
ejpam-1515	126	17	pi	pi	NOUN
ejpam-1515	126	18	=	=	SYM
ejpam-1515	126	19	0	0	PUNCT
ejpam-1515	127	1	so	so	ADV
ejpam-1515	127	2	p2	p2	PROPN
ejpam-1515	127	3	∂	∂	NOUN
ejpam-1515	127	4	c	c	PROPN
ejpam-1515	127	5	∂	∂	NUM
ejpam-1515	127	6	p3	p3	PROPN
ejpam-1515	127	7	−	−	PROPN
ejpam-1515	127	8	p3	p3	PROPN
ejpam-1515	127	9	∂	∂	PROPN
ejpam-1515	127	10	c	c	NOUN
ejpam-1515	127	11	∂	∂	NOUN
ejpam-1515	127	12	p2	p2	NOUN
ejpam-1515	127	13	=	=	SYM
ejpam-1515	127	14	p2p3	p2p3	CCONJ
ejpam-1515	127	15	−	−	NOUN
ejpam-1515	127	16	p3p2	p3p2	NOUN
ejpam-1515	127	17	=	=	NOUN
ejpam-1515	127	18	0	0	NUM
ejpam-1515	127	19	for	for	ADP
ejpam-1515	127	20	j	j	PROPN
ejpam-1515	127	21	=	=	SYM
ejpam-1515	127	22	2	2	NUM
ejpam-1515	127	23	,	,	PUNCT
ejpam-1515	127	24	p3	p3	PROPN
ejpam-1515	127	25	∂	∂	NOUN
ejpam-1515	127	26	c	c	PROPN
ejpam-1515	127	27	∂	∂	NOUN
ejpam-1515	127	28	p1	p1	PROPN
ejpam-1515	127	29	−	−	PROPN
ejpam-1515	127	30	p1	p1	PROPN
ejpam-1515	127	31	∂	∂	PROPN
ejpam-1515	127	32	c	c	PROPN
ejpam-1515	127	33	∂	∂	NOUN
ejpam-1515	127	34	p3	p3	PROPN
ejpam-1515	127	35	=	=	PUNCT
ejpam-1515	128	1	p3p1	p3p1	ADP
ejpam-1515	128	2	−	−	NOUN
ejpam-1515	128	3	p1p3	p1p3	ADP
ejpam-1515	128	4	=	=	NOUN
ejpam-1515	128	5	0	0	NUM
ejpam-1515	128	6	for	for	ADP
ejpam-1515	128	7	j	j	PROPN
ejpam-1515	128	8	=	=	SYM
ejpam-1515	128	9	3	3	NUM
ejpam-1515	128	10	,	,	PUNCT
ejpam-1515	128	11	p1	p1	PROPN
ejpam-1515	128	12	∂	∂	NOUN
ejpam-1515	128	13	c	c	NOUN
ejpam-1515	128	14	∂	∂	NUM
ejpam-1515	128	15	p2	p2	PROPN
ejpam-1515	128	16	−	−	PROPN
ejpam-1515	128	17	p2	p2	PROPN
ejpam-1515	128	18	∂	∂	NOUN
ejpam-1515	128	19	c	c	NOUN
ejpam-1515	128	20	∂	∂	NOUN
ejpam-1515	128	21	p1	p1	NOUN
ejpam-1515	128	22	=	=	PUNCT
ejpam-1515	129	1	p1p2	p1p2	PRON
ejpam-1515	129	2	−	−	NOUN
ejpam-1515	129	3	p2p1	p2p1	NOUN
ejpam-1515	129	4	=	=	SYM
ejpam-1515	129	5	0	0	NUM
ejpam-1515	130	1	so	so	ADV
ejpam-1515	130	2	the	the	DET
ejpam-1515	130	3	theorem	theorem	NOUN
ejpam-1515	130	4	is	be	AUX
ejpam-1515	130	5	proved	prove	VERB
ejpam-1515	130	6	.	.	PUNCT
ejpam-1515	131	1	it	it	PRON
ejpam-1515	131	2	is	be	AUX
ejpam-1515	131	3	possible	possible	ADJ
ejpam-1515	131	4	to	to	PART
ejpam-1515	131	5	find	find	VERB
ejpam-1515	131	6	further	further	ADJ
ejpam-1515	131	7	casimir	casimir	NOUN
ejpam-1515	131	8	functions	function	NOUN
ejpam-1515	131	9	from	from	ADP
ejpam-1515	131	10	the	the	DET
ejpam-1515	131	11	basic	basic	ADJ
ejpam-1515	131	12	ones	one	NOUN
ejpam-1515	131	13	found	find	VERB
ejpam-1515	131	14	using	use	VERB
ejpam-1515	131	15	structure	structure	NOUN
ejpam-1515	131	16	constants	constant	NOUN
ejpam-1515	131	17	.	.	PUNCT
ejpam-1515	132	1	theorem	theorem	NOUN
ejpam-1515	132	2	5	5	NUM
ejpam-1515	132	3	.	.	PUNCT
ejpam-1515	133	1	any	any	DET
ejpam-1515	133	2	function	function	NOUN
ejpam-1515	133	3	c∗	c∗	NOUN
ejpam-1515	133	4	of	of	ADP
ejpam-1515	133	5	cn	cn	PROPN
ejpam-1515	133	6	where	where	SCONJ
ejpam-1515	133	7	�	�	PROPN
ejpam-1515	133	8	cn	cn	PROPN
ejpam-1515	133	9	are	be	AUX
ejpam-1515	133	10	basic	basic	ADJ
ejpam-1515	133	11	casimir	casimir	NOUN
ejpam-1515	133	12	functions	function	NOUN
ejpam-1515	133	13	is	be	AUX
ejpam-1515	133	14	also	also	ADV
ejpam-1515	133	15	a	a	DET
ejpam-1515	133	16	casimir	casimir	NOUN
ejpam-1515	133	17	function	function	NOUN
ejpam-1515	133	18	.	.	PUNCT
ejpam-1515	134	1	proof	proof	NOUN
ejpam-1515	134	2	.	.	PUNCT
ejpam-1515	135	1	consider	consider	VERB
ejpam-1515	135	2	a	a	DET
ejpam-1515	135	3	function	function	NOUN
ejpam-1515	135	4	c∗(cn	c∗(cn	NOUN
ejpam-1515	135	5	)	)	PUNCT
ejpam-1515	135	6	,	,	PUNCT
ejpam-1515	135	7	then	then	ADV
ejpam-1515	135	8	,	,	PUNCT
ejpam-1515	135	9	for	for	ADP
ejpam-1515	135	10	any	any	DET
ejpam-1515	135	11	function	function	NOUN
ejpam-1515	135	12	f	f	PROPN
ejpam-1515	135	13	on	on	ADP
ejpam-1515	135	14	the	the	DET
ejpam-1515	135	15	dual	dual	ADJ
ejpam-1515	135	16	of	of	ADP
ejpam-1515	135	17	lie	lie	NOUN
ejpam-1515	135	18	algebra	algebra	NOUN
ejpam-1515	135	19	,	,	PUNCT
ejpam-1515	135	20	�	�	PROPN
ejpam-1515	135	21	c∗	c∗	PROPN
ejpam-1515	135	22	,	,	PUNCT
ejpam-1515	135	23	f	f	PROPN
ejpam-1515	135	24	=	=	SYM
ejpam-1515	135	25	∂	∂	CCONJ
ejpam-1515	135	26	c∗	c∗	PROPN
ejpam-1515	135	27	∂	∂	PROPN
ejpam-1515	135	28	p	p	NOUN
ejpam-1515	135	29	∂	∂	NOUN
ejpam-1515	135	30	f	f	PROPN
ejpam-1515	135	31	∂	∂	NUM
ejpam-1515	135	32	q	q	NOUN
ejpam-1515	135	33	−	−	PROPN
ejpam-1515	135	34	∂	∂	NOUN
ejpam-1515	135	35	c∗	c∗	PROPN
ejpam-1515	135	36	∂	∂	NOUN
ejpam-1515	135	37	q	q	NOUN
ejpam-1515	135	38	∂	∂	PROPN
ejpam-1515	135	39	f	f	NOUN
ejpam-1515	135	40	∂	∂	NOUN
ejpam-1515	135	41	p	p	NOUN
ejpam-1515	135	42	=	=	PUNCT
ejpam-1515	135	43	∑	∑	PROPN
ejpam-1515	135	44	i	i	PROPN
ejpam-1515	135	45	∂	∂	NOUN
ejpam-1515	135	46	c∗	c∗	PROPN
ejpam-1515	135	47	∂	∂	NUM
ejpam-1515	136	1	cn	cn	PROPN
ejpam-1515	136	2	�	�	PROPN
ejpam-1515	136	3	∂	∂	PROPN
ejpam-1515	136	4	cn	cn	PROPN
ejpam-1515	136	5	∂	∂	PROPN
ejpam-1515	136	6	p	p	NOUN
ejpam-1515	136	7	∂	∂	PROPN
ejpam-1515	136	8	f	f	PROPN
ejpam-1515	136	9	∂	∂	NUM
ejpam-1515	136	10	q	q	NOUN
ejpam-1515	136	11	−	−	PROPN
ejpam-1515	136	12	∂	∂	NOUN
ejpam-1515	136	13	cn	cn	NOUN
ejpam-1515	136	14	∂	∂	PROPN
ejpam-1515	136	15	q	q	PROPN
ejpam-1515	136	16	∂	∂	PROPN
ejpam-1515	136	17	f	f	PROPN
ejpam-1515	136	18	∂	∂	NUM
ejpam-1515	136	19	p	p	NOUN
ejpam-1515	136	20	�	�	PROPN
ejpam-1515	136	21	=	=	PUNCT
ejpam-1515	136	22	∑	∑	PUNCT
ejpam-1515	136	23	i	i	PRON
ejpam-1515	136	24	∂	∂	PROPN
ejpam-1515	136	25	c∗	c∗	PROPN
ejpam-1515	136	26	∂	∂	PROPN
ejpam-1515	136	27	cn	cn	PROPN
ejpam-1515	136	28	�	�	PROPN
ejpam-1515	136	29	cn	cn	PROPN
ejpam-1515	136	30	,	,	PUNCT
ejpam-1515	136	31	f	f	PROPN
ejpam-1515	136	32	=	=	SYM
ejpam-1515	136	33	0	0	PROPN
ejpam-1515	136	34	c.	c.	PROPN
ejpam-1515	136	35	linton	linton	PROPN
ejpam-1515	136	36	,	,	PUNCT
ejpam-1515	136	37	w.	w.	PROPN
ejpam-1515	136	38	holderbaum	holderbaum	PROPN
ejpam-1515	136	39	,	,	PUNCT
ejpam-1515	136	40	j.	j.	PROPN
ejpam-1515	136	41	biggs	biggs	PROPN
ejpam-1515	136	42	/	/	SYM
ejpam-1515	136	43	eur	eur	PROPN
ejpam-1515	136	44	.	.	PUNCT
ejpam-1515	137	1	j.	j.	PROPN
ejpam-1515	137	2	pure	pure	PROPN
ejpam-1515	137	3	appl	appl	PROPN
ejpam-1515	137	4	.	.	PROPN
ejpam-1515	137	5	math	math	PROPN
ejpam-1515	137	6	,	,	PUNCT
ejpam-1515	137	7	5	5	NUM
ejpam-1515	137	8	(	(	PUNCT
ejpam-1515	137	9	2012	2012	NUM
ejpam-1515	137	10	)	)	PUNCT
ejpam-1515	137	11	,	,	PUNCT
ejpam-1515	137	12	567	567	NUM
ejpam-1515	137	13	-	-	SYM
ejpam-1515	137	14	583	583	NUM
ejpam-1515	137	15	574	574	NUM
ejpam-1515	137	16	since	since	SCONJ
ejpam-1515	137	17	�	�	PROPN
ejpam-1515	137	18	cn	cn	PROPN
ejpam-1515	137	19	,	,	PUNCT
ejpam-1515	137	20	f	f	PROPN
ejpam-1515	137	21	=	=	PUNCT
ejpam-1515	137	22	0	0	PROPN
ejpam-1515	137	23	for	for	ADP
ejpam-1515	137	24	all	all	DET
ejpam-1515	137	25	n.	n.	NOUN
ejpam-1515	137	26	a	a	DET
ejpam-1515	137	27	constant	constant	ADJ
ejpam-1515	137	28	function	function	NOUN
ejpam-1515	137	29	is	be	AUX
ejpam-1515	137	30	also	also	ADV
ejpam-1515	137	31	a	a	DET
ejpam-1515	137	32	casimir	casimir	NOUN
ejpam-1515	137	33	,	,	PUNCT
ejpam-1515	137	34	as	as	SCONJ
ejpam-1515	137	35	is	be	AUX
ejpam-1515	137	36	any	any	DET
ejpam-1515	137	37	polynomial	polynomial	ADJ
ejpam-1515	137	38	combination	combination	NOUN
ejpam-1515	137	39	of	of	ADP
ejpam-1515	137	40	basic	basic	ADJ
ejpam-1515	137	41	casimirs	casimir	NOUN
ejpam-1515	137	42	,	,	PUNCT
ejpam-1515	137	43	for	for	ADP
ejpam-1515	137	44	example	example	NOUN
ejpam-1515	137	45	,	,	PUNCT
ejpam-1515	137	46	a+	a+	PUNCT
ejpam-1515	137	47	bc1	bc1	NOUN
ejpam-1515	137	48	+	+	CCONJ
ejpam-1515	137	49	c1c2	c1c2	SYM
ejpam-1515	137	50	2	2	NUM
ejpam-1515	137	51	.	.	PUNCT
ejpam-1515	137	52	definition	definition	NOUN
ejpam-1515	137	53	5	5	NUM
ejpam-1515	137	54	.	.	PUNCT
ejpam-1515	138	1	a	a	DET
ejpam-1515	138	2	casimir	casimir	NOUN
ejpam-1515	138	3	invariant	invariant	PROPN
ejpam-1515	138	4	vector	vector	NOUN
ejpam-1515	138	5	xc	xc	PROPN
ejpam-1515	138	6	is	be	AUX
ejpam-1515	138	7	defined	define	VERB
ejpam-1515	138	8	as	as	ADP
ejpam-1515	138	9	a	a	DET
ejpam-1515	138	10	vector	vector	NOUN
ejpam-1515	138	11	that	that	PRON
ejpam-1515	138	12	does	do	AUX
ejpam-1515	138	13	not	not	PART
ejpam-1515	138	14	change	change	VERB
ejpam-1515	138	15	the	the	DET
ejpam-1515	138	16	action	action	NOUN
ejpam-1515	138	17	of	of	ADP
ejpam-1515	138	18	any	any	DET
ejpam-1515	138	19	other	other	ADJ
ejpam-1515	138	20	vector	vector	NOUN
ejpam-1515	138	21	x	x	X
ejpam-1515	138	22	.	.	PUNCT
ejpam-1515	139	1	that	that	PRON
ejpam-1515	139	2	is	be	AUX
ejpam-1515	139	3	;	;	PUNCT
ejpam-1515	139	4	�	�	PROPN
ejpam-1515	139	5	xc	xc	PROPN
ejpam-1515	139	6	,	,	PUNCT
ejpam-1515	139	7	x	x	X
ejpam-1515	139	8	�	�	PROPN
ejpam-1515	139	9	=	=	NOUN
ejpam-1515	139	10	0	0	PROPN
ejpam-1515	139	11	for	for	ADP
ejpam-1515	139	12	all	all	DET
ejpam-1515	139	13	x	x	NOUN
ejpam-1515	139	14	.	.	PUNCT
ejpam-1515	140	1	if	if	SCONJ
ejpam-1515	140	2	c	c	PROPN
ejpam-1515	140	3	is	be	AUX
ejpam-1515	140	4	a	a	DET
ejpam-1515	140	5	casimir	casimir	NOUN
ejpam-1515	140	6	invariant	invariant	ADJ
ejpam-1515	140	7	function	function	NOUN
ejpam-1515	140	8	then	then	ADV
ejpam-1515	140	9	{	{	PUNCT
ejpam-1515	140	10	c	c	NOUN
ejpam-1515	140	11	,	,	PUNCT
ejpam-1515	140	12	f	f	X
ejpam-1515	140	13	}	}	PUNCT
ejpam-1515	140	14	=	=	SYM
ejpam-1515	140	15	0	0	NUM
ejpam-1515	140	16	for	for	ADP
ejpam-1515	140	17	all	all	DET
ejpam-1515	140	18	f.	f.	PROPN
ejpam-1515	140	19	theorem	theorem	PROPN
ejpam-1515	140	20	2	2	NUM
ejpam-1515	140	21	gives	give	VERB
ejpam-1515	140	22	the	the	DET
ejpam-1515	140	23	relationship	relationship	NOUN
ejpam-1515	140	24	xg	xg	PROPN
ejpam-1515	140	25	=	=	PROPN
ejpam-1515	140	26	�	�	PROPN
ejpam-1515	140	27	xc	xc	PROPN
ejpam-1515	140	28	,	,	PUNCT
ejpam-1515	140	29	xe	xe	PROPN
ejpam-1515	140	30	�	�	PROPN
ejpam-1515	140	31	whenever	whenever	SCONJ
ejpam-1515	140	32	g	g	PROPN
ejpam-1515	140	33	=	=	PUNCT
ejpam-1515	140	34	{	{	PUNCT
ejpam-1515	140	35	c	c	NOUN
ejpam-1515	140	36	,	,	PUNCT
ejpam-1515	140	37	e	e	NOUN
ejpam-1515	140	38	}	}	PUNCT
ejpam-1515	140	39	so	so	ADV
ejpam-1515	140	40	�	�	PROPN
ejpam-1515	140	41	xc	xc	PROPN
ejpam-1515	140	42	,	,	PUNCT
ejpam-1515	140	43	x	x	PROPN
ejpam-1515	140	44	f	f	X
ejpam-1515	140	45	�	�	PROPN
ejpam-1515	140	46	=	=	NOUN
ejpam-1515	140	47	0	0	NUM
ejpam-1515	140	48	for	for	ADP
ejpam-1515	140	49	all	all	PRON
ejpam-1515	140	50	x	x	SYM
ejpam-1515	140	51	f	f	X
ejpam-1515	140	52	(	(	PUNCT
ejpam-1515	140	53	13	13	NUM
ejpam-1515	140	54	)	)	PUNCT
ejpam-1515	140	55	where	where	SCONJ
ejpam-1515	140	56	x	x	SYM
ejpam-1515	140	57	f	f	PROPN
ejpam-1515	140	58	and	and	CCONJ
ejpam-1515	140	59	xc	xc	PROPN
ejpam-1515	140	60	are	be	AUX
ejpam-1515	140	61	related	relate	VERB
ejpam-1515	140	62	to	to	ADP
ejpam-1515	140	63	the	the	DET
ejpam-1515	140	64	functions	function	NOUN
ejpam-1515	140	65	f	f	PROPN
ejpam-1515	140	66	and	and	CCONJ
ejpam-1515	140	67	c	c	PROPN
ejpam-1515	140	68	by	by	ADP
ejpam-1515	140	69	equation	equation	NOUN
ejpam-1515	140	70	(	(	PUNCT
ejpam-1515	140	71	6	6	NUM
ejpam-1515	140	72	)	)	PUNCT
ejpam-1515	140	73	x	x	SYM
ejpam-1515	140	74	f	f	PROPN
ejpam-1515	140	75	=	=	SYM
ejpam-1515	140	76	∂	∂	PROPN
ejpam-1515	140	77	f	f	PROPN
ejpam-1515	140	78	∂	∂	NUM
ejpam-1515	140	79	pi	pi	NOUN
ejpam-1515	140	80	¦	¦	PROPN
ejpam-1515	140	81	p	p	PROPN
ejpam-1515	140	82	j	j	PROPN
ejpam-1515	140	83	,	,	PUNCT
ejpam-1515	140	84	pi	pi	NOUN
ejpam-1515	140	85	©	©	PROPN
ejpam-1515	140	86	∂	∂	NUM
ejpam-1515	140	87	∂	∂	NOUN
ejpam-1515	140	88	p	p	PRON
ejpam-1515	140	89	j	j	PROPN
ejpam-1515	140	90	using	use	VERB
ejpam-1515	140	91	equation	equation	NOUN
ejpam-1515	140	92	(	(	PUNCT
ejpam-1515	140	93	10	10	NUM
ejpam-1515	140	94	)	)	PUNCT
ejpam-1515	140	95	,	,	PUNCT
ejpam-1515	140	96	the	the	DET
ejpam-1515	140	97	casimir	casimir	NOUN
ejpam-1515	140	98	invariant	invariant	PROPN
ejpam-1515	140	99	vector	vector	PROPN
ejpam-1515	140	100	xc	xc	PROPN
ejpam-1515	140	101	for	for	ADP
ejpam-1515	140	102	the	the	DET
ejpam-1515	140	103	dual	dual	ADJ
ejpam-1515	140	104	lie	lie	NOUN
ejpam-1515	140	105	algebra	algebra	NOUN
ejpam-1515	140	106	becomes	become	VERB
ejpam-1515	140	107	xc	xc	PROPN
ejpam-1515	140	108	=	=	SYM
ejpam-1515	140	109	∂	∂	PROPN
ejpam-1515	140	110	c	c	PROPN
ejpam-1515	140	111	∂	∂	NUM
ejpam-1515	141	1	pi	pi	NOUN
ejpam-1515	142	1	ck	ck	INTJ
ejpam-1515	142	2	i	i	PRON
ejpam-1515	142	3	j	j	PROPN
ejpam-1515	142	4	pk	pk	PROPN
ejpam-1515	142	5	∂	∂	NUM
ejpam-1515	142	6	∂	∂	NOUN
ejpam-1515	142	7	p	p	PROPN
ejpam-1515	142	8	j	j	PROPN
ejpam-1515	142	9	(	(	PUNCT
ejpam-1515	142	10	14	14	NUM
ejpam-1515	142	11	)	)	PUNCT
ejpam-1515	142	12	in	in	ADP
ejpam-1515	142	13	this	this	DET
ejpam-1515	142	14	section	section	NOUN
ejpam-1515	142	15	,	,	PUNCT
ejpam-1515	142	16	the	the	DET
ejpam-1515	142	17	requirement	requirement	NOUN
ejpam-1515	142	18	of	of	ADP
ejpam-1515	142	19	a	a	DET
ejpam-1515	142	20	casimir	casimir	NOUN
ejpam-1515	142	21	invariant	invariant	ADJ
ejpam-1515	142	22	function	function	NOUN
ejpam-1515	142	23	has	have	AUX
ejpam-1515	142	24	been	be	AUX
ejpam-1515	142	25	stated	state	VERB
ejpam-1515	142	26	in	in	ADP
ejpam-1515	142	27	terms	term	NOUN
ejpam-1515	142	28	of	of	ADP
ejpam-1515	142	29	structure	structure	NOUN
ejpam-1515	142	30	constants	constant	NOUN
ejpam-1515	142	31	in	in	ADP
ejpam-1515	142	32	equation	equation	NOUN
ejpam-1515	142	33	(	(	PUNCT
ejpam-1515	142	34	12	12	NUM
ejpam-1515	142	35	)	)	PUNCT
ejpam-1515	142	36	.	.	PUNCT
ejpam-1515	143	1	it	it	PRON
ejpam-1515	143	2	was	be	AUX
ejpam-1515	143	3	used	use	VERB
ejpam-1515	143	4	to	to	PART
ejpam-1515	143	5	find	find	VERB
ejpam-1515	143	6	the	the	DET
ejpam-1515	143	7	casimir	casimir	NOUN
ejpam-1515	143	8	function	function	NOUN
ejpam-1515	143	9	for	for	ADP
ejpam-1515	143	10	so(3	so(3	NOUN
ejpam-1515	143	11	)	)	PUNCT
ejpam-1515	143	12	.	.	PUNCT
ejpam-1515	144	1	the	the	DET
ejpam-1515	144	2	same	same	ADJ
ejpam-1515	144	3	method	method	NOUN
ejpam-1515	144	4	can	can	AUX
ejpam-1515	144	5	be	be	AUX
ejpam-1515	144	6	used	use	VERB
ejpam-1515	144	7	for	for	ADP
ejpam-1515	144	8	other	other	ADJ
ejpam-1515	144	9	algebras	algebra	NOUN
ejpam-1515	144	10	.	.	PUNCT
ejpam-1515	145	1	a	a	DET
ejpam-1515	145	2	list	list	NOUN
ejpam-1515	145	3	of	of	ADP
ejpam-1515	145	4	basic	basic	ADJ
ejpam-1515	145	5	functions	function	NOUN
ejpam-1515	145	6	is	be	AUX
ejpam-1515	145	7	provided	provide	VERB
ejpam-1515	145	8	in	in	ADP
ejpam-1515	145	9	the	the	DET
ejpam-1515	145	10	appendix	appendix	NOUN
ejpam-1515	145	11	,	,	PUNCT
ejpam-1515	145	12	enabling	enable	VERB
ejpam-1515	145	13	further	further	ADJ
ejpam-1515	145	14	functions	function	NOUN
ejpam-1515	145	15	to	to	PART
ejpam-1515	145	16	be	be	AUX
ejpam-1515	145	17	identified	identify	VERB
ejpam-1515	145	18	using	use	VERB
ejpam-1515	145	19	theorem	theorem	NOUN
ejpam-1515	145	20	5	5	NUM
ejpam-1515	145	21	.	.	PUNCT
ejpam-1515	146	1	the	the	DET
ejpam-1515	146	2	format	format	NOUN
ejpam-1515	146	3	of	of	ADP
ejpam-1515	146	4	a	a	DET
ejpam-1515	146	5	casimir	casimir	NOUN
ejpam-1515	146	6	invariant	invariant	ADJ
ejpam-1515	146	7	vector	vector	NOUN
ejpam-1515	146	8	has	have	AUX
ejpam-1515	146	9	been	be	AUX
ejpam-1515	146	10	found	find	VERB
ejpam-1515	146	11	in	in	ADP
ejpam-1515	146	12	equation	equation	NOUN
ejpam-1515	146	13	(	(	PUNCT
ejpam-1515	146	14	14	14	NUM
ejpam-1515	146	15	)	)	PUNCT
ejpam-1515	146	16	and	and	CCONJ
ejpam-1515	146	17	will	will	AUX
ejpam-1515	146	18	be	be	AUX
ejpam-1515	146	19	used	use	VERB
ejpam-1515	146	20	to	to	PART
ejpam-1515	146	21	find	find	VERB
ejpam-1515	146	22	lax	lax	ADJ
ejpam-1515	146	23	operators	operator	NOUN
ejpam-1515	146	24	in	in	ADP
ejpam-1515	146	25	section	section	NOUN
ejpam-1515	146	26	6	6	NUM
ejpam-1515	146	27	.	.	NOUN
ejpam-1515	147	1	5	5	NUM
ejpam-1515	147	2	.	.	X
ejpam-1515	147	3	trajectory	trajectory	NOUN
ejpam-1515	147	4	induced	induce	VERB
ejpam-1515	147	5	by	by	ADP
ejpam-1515	147	6	a	a	DET
ejpam-1515	147	7	hamiltonian	hamiltonian	NOUN
ejpam-1515	147	8	in	in	ADP
ejpam-1515	147	9	the	the	DET
ejpam-1515	147	10	previous	previous	ADJ
ejpam-1515	147	11	section	section	NOUN
ejpam-1515	147	12	,	,	PUNCT
ejpam-1515	147	13	the	the	DET
ejpam-1515	147	14	concentration	concentration	NOUN
ejpam-1515	147	15	was	be	AUX
ejpam-1515	147	16	on	on	ADP
ejpam-1515	147	17	functions	function	NOUN
ejpam-1515	147	18	which	which	PRON
ejpam-1515	147	19	are	be	AUX
ejpam-1515	147	20	dependent	dependent	ADJ
ejpam-1515	147	21	only	only	ADV
ejpam-1515	147	22	on	on	ADP
ejpam-1515	147	23	the	the	DET
ejpam-1515	147	24	group	group	NOUN
ejpam-1515	147	25	structure	structure	NOUN
ejpam-1515	147	26	.	.	PUNCT
ejpam-1515	148	1	in	in	ADP
ejpam-1515	148	2	this	this	DET
ejpam-1515	148	3	section	section	NOUN
ejpam-1515	148	4	,	,	PUNCT
ejpam-1515	148	5	a	a	DET
ejpam-1515	148	6	hamiltonian	hamiltonian	ADJ
ejpam-1515	148	7	function	function	NOUN
ejpam-1515	148	8	induces	induce	VERB
ejpam-1515	148	9	a	a	DET
ejpam-1515	148	10	trajectory	trajectory	NOUN
ejpam-1515	148	11	though	though	SCONJ
ejpam-1515	148	12	the	the	DET
ejpam-1515	148	13	action	action	NOUN
ejpam-1515	148	14	of	of	ADP
ejpam-1515	148	15	the	the	DET
ejpam-1515	148	16	hamiltonian	hamiltonian	ADJ
ejpam-1515	148	17	vector	vector	NOUN
ejpam-1515	148	18	field	field	NOUN
ejpam-1515	148	19	,	,	PUNCT
ejpam-1515	148	20	if	if	SCONJ
ejpam-1515	148	21	the	the	DET
ejpam-1515	148	22	lie	lie	NOUN
ejpam-1515	148	23	poisson	poisson	NOUN
ejpam-1515	148	24	structure	structure	NOUN
ejpam-1515	148	25	is	be	AUX
ejpam-1515	148	26	imposed	impose	VERB
ejpam-1515	148	27	see	see	VERB
ejpam-1515	148	28	[	[	X
ejpam-1515	148	29	6	6	NUM
ejpam-1515	148	30	]	]	PUNCT
ejpam-1515	148	31	.	.	PUNCT
ejpam-1515	149	1	the	the	DET
ejpam-1515	149	2	differential	differential	ADJ
ejpam-1515	149	3	equations	equation	NOUN
ejpam-1515	149	4	of	of	ADP
ejpam-1515	149	5	motion	motion	NOUN
ejpam-1515	149	6	,	,	PUNCT
ejpam-1515	149	7	which	which	PRON
ejpam-1515	149	8	depend	depend	VERB
ejpam-1515	149	9	on	on	ADP
ejpam-1515	149	10	the	the	DET
ejpam-1515	149	11	structure	structure	NOUN
ejpam-1515	149	12	and	and	CCONJ
ejpam-1515	149	13	the	the	DET
ejpam-1515	149	14	hamiltonian	hamiltonian	NOUN
ejpam-1515	149	15	,	,	PUNCT
ejpam-1515	149	16	are	be	AUX
ejpam-1515	149	17	found	find	VERB
ejpam-1515	149	18	.	.	PUNCT
ejpam-1515	150	1	bloch	bloch	PROPN
ejpam-1515	151	1	[	[	X
ejpam-1515	151	2	4	4	X
ejpam-1515	151	3	]	]	PUNCT
ejpam-1515	151	4	on	on	ADP
ejpam-1515	151	5	p121	p121	PROPN
ejpam-1515	151	6	defines	define	VERB
ejpam-1515	151	7	xh	xh	PROPN
ejpam-1515	151	8	,	,	PUNCT
ejpam-1515	151	9	the	the	DET
ejpam-1515	151	10	hamiltonian	hamiltonian	ADJ
ejpam-1515	151	11	vector	vector	NOUN
ejpam-1515	151	12	field	field	NOUN
ejpam-1515	151	13	of	of	ADP
ejpam-1515	151	14	h	h	NOUN
ejpam-1515	151	15	,	,	PUNCT
ejpam-1515	151	16	as	as	ADP
ejpam-1515	151	17	the	the	DET
ejpam-1515	151	18	unique	unique	ADJ
ejpam-1515	151	19	vector	vector	NOUN
ejpam-1515	151	20	field	field	NOUN
ejpam-1515	151	21	such	such	ADJ
ejpam-1515	151	22	that	that	SCONJ
ejpam-1515	151	23	k̇	k̇	PROPN
ejpam-1515	151	24	=	=	SYM
ejpam-1515	151	25	xh	xh	PROPN
ejpam-1515	151	26	(	(	PUNCT
ejpam-1515	151	27	k)≡	k)≡	PROPN
ejpam-1515	151	28	dk	dk	PROPN
ejpam-1515	151	29	,	,	PUNCT
ejpam-1515	151	30	xh	xh	PROPN
ejpam-1515	151	31	�	�	PROPN
ejpam-1515	151	32	=	=	SYM
ejpam-1515	151	33	{	{	PUNCT
ejpam-1515	151	34	k	k	NOUN
ejpam-1515	151	35	,	,	PUNCT
ejpam-1515	151	36	h	h	NOUN
ejpam-1515	151	37	}	}	PUNCT
ejpam-1515	151	38	for	for	ADP
ejpam-1515	151	39	all	all	DET
ejpam-1515	151	40	k	k	PROPN
ejpam-1515	151	41	∈	∈	PROPN
ejpam-1515	151	42	f	f	X
ejpam-1515	151	43	(	(	PUNCT
ejpam-1515	151	44	p	p	NOUN
ejpam-1515	151	45	)	)	PUNCT
ejpam-1515	151	46	(	(	PUNCT
ejpam-1515	151	47	15	15	NUM
ejpam-1515	151	48	)	)	PUNCT
ejpam-1515	151	49	where	where	SCONJ
ejpam-1515	151	50	p	p	NOUN
ejpam-1515	151	51	is	be	AUX
ejpam-1515	151	52	a	a	DET
ejpam-1515	151	53	poisson	poisson	NOUN
ejpam-1515	151	54	manifold	manifold	NOUN
ejpam-1515	151	55	and	and	CCONJ
ejpam-1515	151	56	f	f	PROPN
ejpam-1515	151	57	(	(	PUNCT
ejpam-1515	151	58	p	p	NOUN
ejpam-1515	151	59	)	)	PUNCT
ejpam-1515	151	60	is	be	AUX
ejpam-1515	151	61	the	the	DET
ejpam-1515	151	62	set	set	NOUN
ejpam-1515	151	63	of	of	ADP
ejpam-1515	151	64	all	all	DET
ejpam-1515	151	65	functions	function	NOUN
ejpam-1515	151	66	on	on	ADP
ejpam-1515	151	67	p.	p.	NOUN
ejpam-1515	151	68	if	if	SCONJ
ejpam-1515	151	69	the	the	DET
ejpam-1515	151	70	lie	lie	NOUN
ejpam-1515	151	71	-	-	PUNCT
ejpam-1515	151	72	poisson	poisson	NOUN
ejpam-1515	151	73	structure	structure	NOUN
ejpam-1515	151	74	as	as	SCONJ
ejpam-1515	151	75	identified	identify	VERB
ejpam-1515	151	76	in	in	ADP
ejpam-1515	151	77	section	section	NOUN
ejpam-1515	151	78	3	3	NUM
ejpam-1515	151	79	is	be	AUX
ejpam-1515	151	80	imposed	impose	VERB
ejpam-1515	151	81	[	[	PUNCT
ejpam-1515	151	82	6	6	NUM
ejpam-1515	151	83	]	]	PUNCT
ejpam-1515	151	84	,	,	PUNCT
ejpam-1515	151	85	then	then	ADV
ejpam-1515	151	86	this	this	DET
ejpam-1515	151	87	equation	equation	NOUN
ejpam-1515	151	88	(	(	PUNCT
ejpam-1515	151	89	15	15	NUM
ejpam-1515	151	90	)	)	PUNCT
ejpam-1515	151	91	can	can	AUX
ejpam-1515	151	92	be	be	AUX
ejpam-1515	151	93	used	use	VERB
ejpam-1515	151	94	on	on	ADP
ejpam-1515	151	95	any	any	DET
ejpam-1515	151	96	lie	lie	NOUN
ejpam-1515	151	97	algebra	algebra	NOUN
ejpam-1515	151	98	.	.	PUNCT
ejpam-1515	152	1	for	for	ADP
ejpam-1515	152	2	a	a	DET
ejpam-1515	152	3	lie	lie	NOUN
ejpam-1515	152	4	algebra	algebra	NOUN
ejpam-1515	152	5	,	,	PUNCT
ejpam-1515	152	6	there	there	PRON
ejpam-1515	152	7	is	be	VERB
ejpam-1515	152	8	no	no	DET
ejpam-1515	152	9	position	position	NOUN
ejpam-1515	152	10	dependence	dependence	NOUN
ejpam-1515	152	11	and	and	CCONJ
ejpam-1515	152	12	c.	c.	PROPN
ejpam-1515	152	13	linton	linton	PROPN
ejpam-1515	152	14	,	,	PUNCT
ejpam-1515	152	15	w.	w.	PROPN
ejpam-1515	152	16	holderbaum	holderbaum	PROPN
ejpam-1515	152	17	,	,	PUNCT
ejpam-1515	152	18	j.	j.	PROPN
ejpam-1515	152	19	biggs	biggs	PROPN
ejpam-1515	152	20	/	/	SYM
ejpam-1515	152	21	eur	eur	PROPN
ejpam-1515	152	22	.	.	PUNCT
ejpam-1515	153	1	j.	j.	PROPN
ejpam-1515	153	2	pure	pure	PROPN
ejpam-1515	153	3	appl	appl	PROPN
ejpam-1515	153	4	.	.	PROPN
ejpam-1515	153	5	math	math	PROPN
ejpam-1515	153	6	,	,	PUNCT
ejpam-1515	153	7	5	5	NUM
ejpam-1515	153	8	(	(	PUNCT
ejpam-1515	153	9	2012	2012	NUM
ejpam-1515	153	10	)	)	PUNCT
ejpam-1515	153	11	,	,	PUNCT
ejpam-1515	153	12	567	567	NUM
ejpam-1515	153	13	-	-	SYM
ejpam-1515	153	14	583	583	NUM
ejpam-1515	153	15	575	575	NUM
ejpam-1515	153	16	the	the	DET
ejpam-1515	153	17	hamiltonian	hamiltonian	NOUN
ejpam-1515	153	18	is	be	AUX
ejpam-1515	153	19	dependent	dependent	ADJ
ejpam-1515	153	20	only	only	ADV
ejpam-1515	153	21	on	on	ADP
ejpam-1515	153	22	p.	p.	NOUN
ejpam-1515	153	23	the	the	DET
ejpam-1515	153	24	poisson	poisson	PROPN
ejpam-1515	153	25	bracket	bracket	NOUN
ejpam-1515	153	26	part	part	NOUN
ejpam-1515	153	27	of	of	ADP
ejpam-1515	153	28	equation	equation	NOUN
ejpam-1515	153	29	(	(	PUNCT
ejpam-1515	153	30	15	15	NUM
ejpam-1515	153	31	)	)	PUNCT
ejpam-1515	153	32	is	be	AUX
ejpam-1515	153	33	written	write	VERB
ejpam-1515	153	34	using	use	VERB
ejpam-1515	153	35	the	the	DET
ejpam-1515	153	36	alternative	alternative	ADJ
ejpam-1515	153	37	coordinates	coordinate	NOUN
ejpam-1515	153	38	theorem	theorem	VERB
ejpam-1515	153	39	1	1	NUM
ejpam-1515	153	40	.	.	PUNCT
ejpam-1515	153	41	k̇	k̇	PROPN
ejpam-1515	154	1	=	=	PUNCT
ejpam-1515	154	2	{	{	PUNCT
ejpam-1515	154	3	k	k	NOUN
ejpam-1515	154	4	,	,	PUNCT
ejpam-1515	154	5	h	h	NOUN
ejpam-1515	154	6	}	}	PUNCT
ejpam-1515	154	7	=	=	SYM
ejpam-1515	154	8	∂	∂	NUM
ejpam-1515	154	9	h	h	NOUN
ejpam-1515	154	10	∂	∂	NOUN
ejpam-1515	154	11	zi	zi	X
ejpam-1515	154	12	¦	¦	PROPN
ejpam-1515	154	13	z	z	PROPN
ejpam-1515	154	14	j	j	PROPN
ejpam-1515	154	15	,	,	PUNCT
ejpam-1515	154	16	zi	zi	PROPN
ejpam-1515	155	1	©	©	PROPN
ejpam-1515	155	2	∂	∂	NUM
ejpam-1515	155	3	k	k	NOUN
ejpam-1515	155	4	∂	∂	PROPN
ejpam-1515	155	5	z	z	PROPN
ejpam-1515	155	6	j	j	PROPN
ejpam-1515	155	7	for	for	ADP
ejpam-1515	155	8	all	all	DET
ejpam-1515	155	9	coordinates	coordinate	NOUN
ejpam-1515	155	10	�	�	PROPN
ejpam-1515	155	11	zi	zi	PROPN
ejpam-1515	155	12	=	=	PUNCT
ejpam-1515	156	1	¦	¦	PROPN
ejpam-1515	156	2	q	q	PROPN
ejpam-1515	156	3	j	j	PROPN
ejpam-1515	156	4	,	,	PUNCT
ejpam-1515	156	5	pk	pk	NOUN
ejpam-1515	156	6	©	©	NOUN
ejpam-1515	156	7	=	=	SYM
ejpam-1515	156	8	∂	∂	NUM
ejpam-1515	156	9	h	h	NOUN
ejpam-1515	156	10	∂	∂	NOUN
ejpam-1515	156	11	q	q	PROPN
ejpam-1515	156	12	j	j	PROPN
ejpam-1515	156	13	¦	¦	PROPN
ejpam-1515	156	14	qk	qk	PROPN
ejpam-1515	156	15	,	,	PUNCT
ejpam-1515	156	16	q	q	PROPN
ejpam-1515	156	17	j	j	PROPN
ejpam-1515	156	18	©	©	PROPN
ejpam-1515	156	19	∂	∂	NOUN
ejpam-1515	156	20	k	k	NOUN
ejpam-1515	156	21	∂	∂	NOUN
ejpam-1515	156	22	qk	qk	NOUN
ejpam-1515	156	23	+	+	CCONJ
ejpam-1515	156	24	∂	∂	NUM
ejpam-1515	156	25	h	h	NOUN
ejpam-1515	156	26	∂	∂	NOUN
ejpam-1515	156	27	q	q	NOUN
ejpam-1515	156	28	j	j	PROPN
ejpam-1515	156	29	¦	¦	PROPN
ejpam-1515	156	30	pk	pk	PROPN
ejpam-1515	156	31	,	,	PUNCT
ejpam-1515	156	32	q	q	PROPN
ejpam-1515	156	33	j	j	PROPN
ejpam-1515	156	34	©	©	PROPN
ejpam-1515	156	35	∂	∂	PROPN
ejpam-1515	156	36	k	k	NOUN
ejpam-1515	156	37	∂	∂	PRON
ejpam-1515	156	38	pk	pk	NOUN
ejpam-1515	156	39	+	+	CCONJ
ejpam-1515	156	40	∂	∂	NUM
ejpam-1515	156	41	h	h	NOUN
ejpam-1515	156	42	∂	∂	NOUN
ejpam-1515	156	43	p	p	NOUN
ejpam-1515	156	44	j	j	PROPN
ejpam-1515	156	45	¦	¦	PROPN
ejpam-1515	156	46	pk	pk	PROPN
ejpam-1515	156	47	,	,	PUNCT
ejpam-1515	156	48	p	p	NOUN
ejpam-1515	156	49	j	j	PROPN
ejpam-1515	156	50	©	©	PROPN
ejpam-1515	156	51	∂	∂	PROPN
ejpam-1515	156	52	k	k	NOUN
ejpam-1515	156	53	∂	∂	PRON
ejpam-1515	156	54	pk	pk	NOUN
ejpam-1515	156	55	+	+	CCONJ
ejpam-1515	156	56	∂	∂	NUM
ejpam-1515	156	57	h	h	NOUN
ejpam-1515	156	58	∂	∂	NOUN
ejpam-1515	156	59	p	p	NOUN
ejpam-1515	156	60	j	j	PROPN
ejpam-1515	156	61	¦	¦	PROPN
ejpam-1515	156	62	qk	qk	PROPN
ejpam-1515	156	63	,	,	PUNCT
ejpam-1515	156	64	p	p	PROPN
ejpam-1515	156	65	j	j	PROPN
ejpam-1515	157	1	©	©	PROPN
ejpam-1515	157	2	∂	∂	PROPN
ejpam-1515	157	3	k	k	NOUN
ejpam-1515	157	4	∂	∂	NOUN
ejpam-1515	157	5	qk	qk	NOUN
ejpam-1515	157	6	so	so	ADV
ejpam-1515	157	7	,	,	PUNCT
ejpam-1515	157	8	for	for	ADP
ejpam-1515	157	9	the	the	DET
ejpam-1515	157	10	dual	dual	ADJ
ejpam-1515	157	11	of	of	ADP
ejpam-1515	157	12	the	the	DET
ejpam-1515	157	13	lie	lie	NOUN
ejpam-1515	157	14	algebra	algebra	NOUN
ejpam-1515	158	1	where	where	SCONJ
ejpam-1515	158	2	h	h	NOUN
ejpam-1515	158	3	=	=	SYM
ejpam-1515	158	4	h	h	PROPN
ejpam-1515	158	5	�	�	PROPN
ejpam-1515	158	6	pi	pi	PROPN
ejpam-1515	158	7	�	�	PROPN
ejpam-1515	158	8	,	,	PUNCT
ejpam-1515	158	9	the	the	DET
ejpam-1515	158	10	rate	rate	NOUN
ejpam-1515	158	11	of	of	ADP
ejpam-1515	158	12	change	change	NOUN
ejpam-1515	158	13	of	of	ADP
ejpam-1515	158	14	any	any	DET
ejpam-1515	158	15	function	function	NOUN
ejpam-1515	158	16	k	k	PROPN
ejpam-1515	158	17	is	be	AUX
ejpam-1515	158	18	given	give	VERB
ejpam-1515	158	19	by	by	ADP
ejpam-1515	158	20	k̇	k̇	PROPN
ejpam-1515	158	21	=	=	SYM
ejpam-1515	158	22	∂	∂	NUM
ejpam-1515	158	23	h	h	NOUN
ejpam-1515	158	24	∂	∂	NOUN
ejpam-1515	158	25	p	p	NOUN
ejpam-1515	158	26	j	j	PROPN
ejpam-1515	158	27	¦	¦	PROPN
ejpam-1515	158	28	pk	pk	PROPN
ejpam-1515	158	29	,	,	PUNCT
ejpam-1515	158	30	p	p	NOUN
ejpam-1515	158	31	j	j	PROPN
ejpam-1515	158	32	©	©	PROPN
ejpam-1515	158	33	∂	∂	PROPN
ejpam-1515	158	34	k	k	NOUN
ejpam-1515	158	35	∂	∂	PRON
ejpam-1515	158	36	pk	pk	NOUN
ejpam-1515	158	37	+	+	CCONJ
ejpam-1515	158	38	∂	∂	NUM
ejpam-1515	158	39	h	h	NOUN
ejpam-1515	158	40	∂	∂	NOUN
ejpam-1515	158	41	p	p	NOUN
ejpam-1515	158	42	j	j	PROPN
ejpam-1515	158	43	¦	¦	PROPN
ejpam-1515	158	44	qk	qk	PROPN
ejpam-1515	158	45	,	,	PUNCT
ejpam-1515	158	46	p	p	PROPN
ejpam-1515	158	47	j	j	PROPN
ejpam-1515	158	48	©	©	PROPN
ejpam-1515	158	49	∂	∂	PROPN
ejpam-1515	158	50	k	k	NOUN
ejpam-1515	158	51	∂	∂	NOUN
ejpam-1515	158	52	qk	qk	NOUN
ejpam-1515	158	53	setting	set	VERB
ejpam-1515	158	54	k	k	PROPN
ejpam-1515	158	55	=	=	PUNCT
ejpam-1515	158	56	pi	pi	NOUN
ejpam-1515	158	57	gives	give	VERB
ejpam-1515	158	58	ṗi	ṗi	PROPN
ejpam-1515	158	59	=	=	SYM
ejpam-1515	158	60	−	−	PROPN
ejpam-1515	158	61	∂	∂	NUM
ejpam-1515	158	62	h	h	NOUN
ejpam-1515	158	63	∂	∂	NOUN
ejpam-1515	158	64	p	p	NOUN
ejpam-1515	158	65	j	j	PROPN
ejpam-1515	158	66	¦	¦	PROPN
ejpam-1515	158	67	p	p	PROPN
ejpam-1515	158	68	j	j	PROPN
ejpam-1515	158	69	,	,	PUNCT
ejpam-1515	158	70	pi	pi	PROPN
ejpam-1515	158	71	©	©	PROPN
ejpam-1515	158	72	(	(	PUNCT
ejpam-1515	158	73	16	16	NUM
ejpam-1515	158	74	)	)	PUNCT
ejpam-1515	158	75	the	the	DET
ejpam-1515	158	76	structure	structure	NOUN
ejpam-1515	158	77	constant	constant	ADJ
ejpam-1515	158	78	relationship	relationship	NOUN
ejpam-1515	158	79	for	for	ADP
ejpam-1515	158	80	the	the	DET
ejpam-1515	158	81	poisson	poisson	PROPN
ejpam-1515	158	82	bracket	bracket	NOUN
ejpam-1515	158	83	(	(	PUNCT
ejpam-1515	158	84	equation	equation	NOUN
ejpam-1515	158	85	(	(	PUNCT
ejpam-1515	158	86	11	11	NUM
ejpam-1515	158	87	)	)	PUNCT
ejpam-1515	158	88	)	)	PUNCT
ejpam-1515	158	89	enables	enable	VERB
ejpam-1515	158	90	the	the	DET
ejpam-1515	158	91	coordinate	coordinate	ADJ
ejpam-1515	158	92	differential	differential	ADJ
ejpam-1515	158	93	equation	equation	NOUN
ejpam-1515	158	94	to	to	PART
ejpam-1515	158	95	be	be	AUX
ejpam-1515	158	96	written	write	VERB
ejpam-1515	158	97	as	as	ADP
ejpam-1515	158	98	ṗi	ṗi	PROPN
ejpam-1515	158	99	=	=	SYM
ejpam-1515	158	100	−	−	PROPN
ejpam-1515	158	101	∂	∂	NUM
ejpam-1515	158	102	h	h	NOUN
ejpam-1515	158	103	∂	∂	NOUN
ejpam-1515	159	1	p	p	NOUN
ejpam-1515	159	2	j	j	PROPN
ejpam-1515	159	3	ck	ck	INTJ
ejpam-1515	160	1	i	i	PRON
ejpam-1515	160	2	j	j	PROPN
ejpam-1515	160	3	pk	pk	X
ejpam-1515	160	4	(	(	PUNCT
ejpam-1515	160	5	17	17	NUM
ejpam-1515	160	6	)	)	PUNCT
ejpam-1515	160	7	for	for	ADP
ejpam-1515	160	8	example	example	NOUN
ejpam-1515	161	1	so	so	ADV
ejpam-1515	161	2	(	(	PUNCT
ejpam-1515	161	3	3	3	NUM
ejpam-1515	161	4	)	)	PUNCT
ejpam-1515	161	5	,	,	PUNCT
ejpam-1515	161	6	if	if	SCONJ
ejpam-1515	161	7	the	the	DET
ejpam-1515	161	8	total	total	ADJ
ejpam-1515	161	9	energy	energy	NOUN
ejpam-1515	161	10	is	be	AUX
ejpam-1515	161	11	defined	define	VERB
ejpam-1515	161	12	as	as	ADP
ejpam-1515	161	13	the	the	DET
ejpam-1515	161	14	hamiltonian	hamiltonian	ADJ
ejpam-1515	161	15	h=1	h=1	PROPN
ejpam-1515	161	16	2	2	NUM
ejpam-1515	161	17	∑3	∑3	PROPN
ejpam-1515	161	18	i=1	i=1	PROPN
ejpam-1515	161	19	p2	p2	PROPN
ejpam-1515	162	1	i	i	PROPN
ejpam-1515	162	2	mi	mi	PROPN
ejpam-1515	162	3	where	where	SCONJ
ejpam-1515	162	4	�	�	PROPN
ejpam-1515	162	5	mi	mi	PROPN
ejpam-1515	162	6	are	be	AUX
ejpam-1515	162	7	the	the	DET
ejpam-1515	162	8	inertia	inertia	NOUN
ejpam-1515	162	9	terms	term	NOUN
ejpam-1515	162	10	,	,	PUNCT
ejpam-1515	162	11	then	then	ADV
ejpam-1515	162	12	the	the	DET
ejpam-1515	162	13	equations	equation	NOUN
ejpam-1515	162	14	of	of	ADP
ejpam-1515	162	15	motion	motion	NOUN
ejpam-1515	162	16	become	become	VERB
ejpam-1515	162	17	ṗi	ṗi	PROPN
ejpam-1515	162	18	=	=	PROPN
ejpam-1515	163	1	p	p	X
ejpam-1515	163	2	j	j	PROPN
ejpam-1515	163	3	pk	pk	PROPN
ejpam-1515	163	4	mk	mk	PROPN
ejpam-1515	163	5	−	−	PROPN
ejpam-1515	163	6	pk	pk	PROPN
ejpam-1515	163	7	p	p	X
ejpam-1515	163	8	j	j	PROPN
ejpam-1515	163	9	m	m	PROPN
ejpam-1515	163	10	j	j	PROPN
ejpam-1515	163	11	for	for	ADP
ejpam-1515	163	12	�	�	PROPN
ejpam-1515	163	13	i	i	PROPN
ejpam-1515	163	14	,	,	PUNCT
ejpam-1515	163	15	j	j	PROPN
ejpam-1515	163	16	,	,	PUNCT
ejpam-1515	163	17	k	k	PROPN
ejpam-1515	163	18	permuted	permute	VERB
ejpam-1515	163	19	over	over	ADP
ejpam-1515	163	20	{	{	PUNCT
ejpam-1515	163	21	1,2,3	1,2,3	NOUN
ejpam-1515	163	22	}	}	PUNCT
ejpam-1515	163	23	(	(	PUNCT
ejpam-1515	163	24	see	see	VERB
ejpam-1515	163	25	page	page	NOUN
ejpam-1515	163	26	9	9	NUM
ejpam-1515	163	27	of	of	ADP
ejpam-1515	163	28	[	[	X
ejpam-1515	163	29	15	15	NUM
ejpam-1515	163	30	]	]	NUM
ejpam-1515	163	31	)	)	PUNCT
ejpam-1515	163	32	.	.	PUNCT
ejpam-1515	164	1	the	the	DET
ejpam-1515	164	2	first	first	ADJ
ejpam-1515	164	3	part	part	NOUN
ejpam-1515	164	4	of	of	ADP
ejpam-1515	164	5	equation	equation	NOUN
ejpam-1515	164	6	(	(	PUNCT
ejpam-1515	164	7	15	15	NUM
ejpam-1515	164	8	)	)	PUNCT
ejpam-1515	164	9	is	be	AUX
ejpam-1515	164	10	ṗi	ṗi	PROPN
ejpam-1515	164	11	=	=	SYM
ejpam-1515	164	12	xh	xh	PROPN
ejpam-1515	164	13	pi	pi	NOUN
ejpam-1515	165	1	so	so	ADV
ejpam-1515	165	2	the	the	DET
ejpam-1515	165	3	hamiltonian	hamiltonian	ADJ
ejpam-1515	165	4	vector	vector	NOUN
ejpam-1515	165	5	field	field	NOUN
ejpam-1515	165	6	can	can	AUX
ejpam-1515	165	7	be	be	AUX
ejpam-1515	165	8	expressed	express	VERB
ejpam-1515	165	9	as	as	ADP
ejpam-1515	165	10	xh	xh	PROPN
ejpam-1515	165	11	=	=	PROPN
ejpam-1515	165	12	−	−	PROPN
ejpam-1515	165	13	∂	∂	NUM
ejpam-1515	165	14	h	h	NOUN
ejpam-1515	165	15	∂	∂	NOUN
ejpam-1515	165	16	p	p	NOUN
ejpam-1515	166	1	j	j	PROPN
ejpam-1515	166	2	ck	ck	INTJ
ejpam-1515	167	1	i	i	PRON
ejpam-1515	167	2	j	j	PROPN
ejpam-1515	167	3	pk	pk	PROPN
ejpam-1515	167	4	∂	∂	NUM
ejpam-1515	167	5	∂	∂	NUM
ejpam-1515	167	6	pi	pi	NOUN
ejpam-1515	167	7	(	(	PUNCT
ejpam-1515	167	8	18	18	NUM
ejpam-1515	167	9	)	)	PUNCT
ejpam-1515	167	10	setting	set	VERB
ejpam-1515	167	11	k	k	X
ejpam-1515	167	12	=	=	PUNCT
ejpam-1515	167	13	qi	qi	PROPN
ejpam-1515	167	14	and	and	CCONJ
ejpam-1515	167	15	since	since	SCONJ
ejpam-1515	167	16	¦	¦	PROPN
ejpam-1515	167	17	q	q	PROPN
ejpam-1515	167	18	j	j	PROPN
ejpam-1515	167	19	,	,	PUNCT
ejpam-1515	167	20	pk	pk	NOUN
ejpam-1515	167	21	©	©	PROPN
ejpam-1515	167	22	=	=	PROPN
ejpam-1515	167	23	δ	δ	PROPN
ejpam-1515	167	24	jk	jk	PROPN
ejpam-1515	167	25	,	,	PUNCT
ejpam-1515	167	26	this	this	PRON
ejpam-1515	167	27	gives	give	VERB
ejpam-1515	167	28	q̇i	q̇i	NOUN
ejpam-1515	167	29	=	=	SYM
ejpam-1515	167	30	xhqi	xhqi	PROPN
ejpam-1515	168	1	=	=	SYM
ejpam-1515	168	2	∂	∂	NUM
ejpam-1515	168	3	h	h	NOUN
ejpam-1515	168	4	∂	∂	NUM
ejpam-1515	168	5	pi	pi	NOUN
ejpam-1515	168	6	(	(	PUNCT
ejpam-1515	168	7	19	19	NUM
ejpam-1515	168	8	)	)	PUNCT
ejpam-1515	168	9	this	this	PRON
ejpam-1515	168	10	is	be	AUX
ejpam-1515	168	11	pulled	pull	VERB
ejpam-1515	168	12	back	back	ADV
ejpam-1515	168	13	to	to	ADP
ejpam-1515	168	14	the	the	DET
ejpam-1515	168	15	origin	origin	NOUN
ejpam-1515	168	16	by	by	ADP
ejpam-1515	168	17	the	the	DET
ejpam-1515	168	18	action	action	NOUN
ejpam-1515	168	19	of	of	ADP
ejpam-1515	168	20	q−1	q−1	PROPN
ejpam-1515	168	21	so	so	SCONJ
ejpam-1515	168	22	that	that	SCONJ
ejpam-1515	169	1	q−1q̇	q−1q̇	NOUN
ejpam-1515	169	2	=	=	SYM
ejpam-1515	169	3	xh	xh	PROPN
ejpam-1515	169	4	=	=	PUNCT
ejpam-1515	169	5	∑	∑	PROPN
ejpam-1515	169	6	i	i	PRON
ejpam-1515	169	7	∂	∂	NOUN
ejpam-1515	169	8	h	h	NOUN
ejpam-1515	169	9	∂	∂	NOUN
ejpam-1515	169	10	pi	pi	NOUN
ejpam-1515	169	11	ei	ei	PROPN
ejpam-1515	169	12	c.	c.	PROPN
ejpam-1515	169	13	linton	linton	PROPN
ejpam-1515	169	14	,	,	PUNCT
ejpam-1515	169	15	w.	w.	PROPN
ejpam-1515	169	16	holderbaum	holderbaum	PROPN
ejpam-1515	169	17	,	,	PUNCT
ejpam-1515	169	18	j.	j.	PROPN
ejpam-1515	169	19	biggs	biggs	PROPN
ejpam-1515	169	20	/	/	SYM
ejpam-1515	169	21	eur	eur	PROPN
ejpam-1515	169	22	.	.	PUNCT
ejpam-1515	170	1	j.	j.	PROPN
ejpam-1515	170	2	pure	pure	PROPN
ejpam-1515	170	3	appl	appl	PROPN
ejpam-1515	170	4	.	.	PROPN
ejpam-1515	170	5	math	math	PROPN
ejpam-1515	170	6	,	,	PUNCT
ejpam-1515	170	7	5	5	NUM
ejpam-1515	170	8	(	(	PUNCT
ejpam-1515	170	9	2012	2012	NUM
ejpam-1515	170	10	)	)	PUNCT
ejpam-1515	170	11	,	,	PUNCT
ejpam-1515	170	12	567	567	NUM
ejpam-1515	170	13	-	-	SYM
ejpam-1515	170	14	583	583	NUM
ejpam-1515	170	15	576	576	NUM
ejpam-1515	170	16	the	the	DET
ejpam-1515	170	17	inverse	inverse	NOUN
ejpam-1515	170	18	of	of	ADP
ejpam-1515	170	19	the	the	DET
ejpam-1515	170	20	bi	bi	ADJ
ejpam-1515	170	21	-	-	ADJ
ejpam-1515	170	22	linear	linear	ADJ
ejpam-1515	170	23	form	form	NOUN
ejpam-1515	170	24	i	i	PRON
ejpam-1515	170	25	used	use	VERB
ejpam-1515	170	26	in	in	ADP
ejpam-1515	170	27	equation	equation	NOUN
ejpam-1515	170	28	(	(	PUNCT
ejpam-1515	170	29	4	4	X
ejpam-1515	170	30	)	)	PUNCT
ejpam-1515	170	31	lowers	lower	VERB
ejpam-1515	170	32	this	this	DET
ejpam-1515	170	33	equation	equation	NOUN
ejpam-1515	170	34	to	to	ADP
ejpam-1515	170	35	the	the	DET
ejpam-1515	170	36	lie	lie	NOUN
ejpam-1515	170	37	algebra	algebra	NOUN
ejpam-1515	170	38	as	as	SCONJ
ejpam-1515	170	39	i	i	PRON
ejpam-1515	170	40	−1xh	−1xh	VERB
ejpam-1515	170	41	=	=	PUNCT
ejpam-1515	170	42	∑	∑	PROPN
ejpam-1515	170	43	i	i	PRON
ejpam-1515	170	44	∂	∂	NOUN
ejpam-1515	170	45	h	h	NOUN
ejpam-1515	170	46	∂	∂	NOUN
ejpam-1515	170	47	pi	pi	NOUN
ejpam-1515	170	48	ei	ei	X
ejpam-1515	171	1	=	=	PRON
ejpam-1515	171	2	∇h	∇h	NOUN
ejpam-1515	171	3	the	the	DET
ejpam-1515	171	4	inverse	inverse	NOUN
ejpam-1515	171	5	of	of	ADP
ejpam-1515	171	6	this	this	PRON
ejpam-1515	171	7	is	be	AUX
ejpam-1515	171	8	xh	xh	PROPN
ejpam-1515	171	9	=	=	PUNCT
ejpam-1515	171	10	i∇h	i∇h	NOUN
ejpam-1515	171	11	which	which	PRON
ejpam-1515	171	12	is	be	AUX
ejpam-1515	171	13	proved	prove	VERB
ejpam-1515	171	14	in	in	ADP
ejpam-1515	171	15	various	various	ADJ
ejpam-1515	171	16	ways	way	NOUN
ejpam-1515	171	17	by	by	ADP
ejpam-1515	171	18	,	,	PUNCT
ejpam-1515	171	19	for	for	ADP
ejpam-1515	171	20	example	example	NOUN
ejpam-1515	171	21	,	,	PUNCT
ejpam-1515	171	22	[	[	X
ejpam-1515	171	23	15	15	NUM
ejpam-1515	171	24	]	]	PUNCT
ejpam-1515	171	25	and	and	CCONJ
ejpam-1515	171	26	[	[	X
ejpam-1515	171	27	10	10	NUM
ejpam-1515	171	28	]	]	PUNCT
ejpam-1515	171	29	.	.	PUNCT
ejpam-1515	172	1	in	in	ADP
ejpam-1515	172	2	this	this	DET
ejpam-1515	172	3	section	section	NOUN
ejpam-1515	172	4	,	,	PUNCT
ejpam-1515	172	5	the	the	DET
ejpam-1515	172	6	action	action	NOUN
ejpam-1515	172	7	of	of	ADP
ejpam-1515	172	8	a	a	DET
ejpam-1515	172	9	hamiltonian	hamiltonian	NOUN
ejpam-1515	172	10	has	have	AUX
ejpam-1515	172	11	been	be	AUX
ejpam-1515	172	12	used	use	VERB
ejpam-1515	172	13	to	to	PART
ejpam-1515	172	14	identify	identify	VERB
ejpam-1515	172	15	the	the	DET
ejpam-1515	172	16	differential	differential	ADJ
ejpam-1515	172	17	equations	equation	NOUN
ejpam-1515	172	18	of	of	ADP
ejpam-1515	172	19	motion	motion	NOUN
ejpam-1515	172	20	on	on	ADP
ejpam-1515	172	21	the	the	DET
ejpam-1515	172	22	lie	lie	NOUN
ejpam-1515	172	23	algebra	algebra	NOUN
ejpam-1515	172	24	.	.	PUNCT
ejpam-1515	173	1	the	the	DET
ejpam-1515	173	2	hamiltonian	hamiltonian	ADJ
ejpam-1515	173	3	vector	vector	NOUN
ejpam-1515	173	4	field	field	NOUN
ejpam-1515	173	5	has	have	AUX
ejpam-1515	173	6	been	be	AUX
ejpam-1515	173	7	expressed	express	VERB
ejpam-1515	173	8	in	in	ADP
ejpam-1515	173	9	terms	term	NOUN
ejpam-1515	173	10	of	of	ADP
ejpam-1515	173	11	the	the	DET
ejpam-1515	173	12	structure	structure	NOUN
ejpam-1515	173	13	constants	constant	NOUN
ejpam-1515	173	14	and	and	CCONJ
ejpam-1515	173	15	as	as	ADP
ejpam-1515	173	16	the	the	DET
ejpam-1515	173	17	gradient	gradient	NOUN
ejpam-1515	173	18	of	of	ADP
ejpam-1515	173	19	hamiltonian	hamiltonian	NOUN
ejpam-1515	173	20	.	.	PUNCT
ejpam-1515	174	1	xh	xh	PROPN
ejpam-1515	174	2	=	=	SYM
ejpam-1515	175	1	−	−	PROPN
ejpam-1515	175	2	∂	∂	NUM
ejpam-1515	175	3	h	h	NOUN
ejpam-1515	175	4	∂	∂	NOUN
ejpam-1515	176	1	p	p	NOUN
ejpam-1515	177	1	j	j	PROPN
ejpam-1515	178	1	ck	ck	INTJ
ejpam-1515	179	1	i	i	PRON
ejpam-1515	179	2	j	j	PROPN
ejpam-1515	179	3	pk	pk	PROPN
ejpam-1515	179	4	∂	∂	NUM
ejpam-1515	179	5	∂	∂	NUM
ejpam-1515	179	6	pi	pi	NOUN
ejpam-1515	179	7	=	=	PUNCT
ejpam-1515	179	8	i∇h	i∇h	NOUN
ejpam-1515	179	9	(	(	PUNCT
ejpam-1515	179	10	20	20	NUM
ejpam-1515	179	11	)	)	PUNCT
ejpam-1515	179	12	this	this	PRON
ejpam-1515	179	13	will	will	AUX
ejpam-1515	179	14	be	be	AUX
ejpam-1515	179	15	used	use	VERB
ejpam-1515	179	16	in	in	ADP
ejpam-1515	179	17	the	the	DET
ejpam-1515	179	18	next	next	ADJ
ejpam-1515	179	19	section	section	NOUN
ejpam-1515	179	20	in	in	ADP
ejpam-1515	179	21	deriving	derive	VERB
ejpam-1515	179	22	the	the	DET
ejpam-1515	179	23	lax	lax	ADJ
ejpam-1515	179	24	operator	operator	NOUN
ejpam-1515	179	25	.	.	PUNCT
ejpam-1515	180	1	6	6	NUM
ejpam-1515	180	2	.	.	X
ejpam-1515	180	3	lax	lax	ADJ
ejpam-1515	180	4	operator	operator	NOUN
ejpam-1515	180	5	and	and	CCONJ
ejpam-1515	180	6	casimir	casimir	NOUN
ejpam-1515	180	7	invariants	invariant	NOUN
ejpam-1515	180	8	invariant	invariant	ADJ
ejpam-1515	180	9	functions	function	NOUN
ejpam-1515	180	10	generate	generate	VERB
ejpam-1515	180	11	invariant	invariant	ADJ
ejpam-1515	180	12	vectors	vector	NOUN
ejpam-1515	180	13	,	,	PUNCT
ejpam-1515	180	14	which	which	PRON
ejpam-1515	180	15	offers	offer	VERB
ejpam-1515	180	16	a	a	DET
ejpam-1515	180	17	method	method	NOUN
ejpam-1515	180	18	of	of	ADP
ejpam-1515	180	19	incorporating	incorporate	VERB
ejpam-1515	180	20	the	the	DET
ejpam-1515	180	21	conservation	conservation	NOUN
ejpam-1515	180	22	laws	law	NOUN
ejpam-1515	180	23	into	into	ADP
ejpam-1515	180	24	the	the	DET
ejpam-1515	180	25	mathematical	mathematical	ADJ
ejpam-1515	180	26	equations	equation	NOUN
ejpam-1515	180	27	and	and	CCONJ
ejpam-1515	180	28	enable	enable	VERB
ejpam-1515	180	29	systems	system	NOUN
ejpam-1515	180	30	in	in	ADP
ejpam-1515	180	31	geometric	geometric	ADJ
ejpam-1515	180	32	control	control	NOUN
ejpam-1515	180	33	and	and	CCONJ
ejpam-1515	180	34	quantum	quantum	NOUN
ejpam-1515	180	35	control	control	NOUN
ejpam-1515	180	36	to	to	PART
ejpam-1515	180	37	be	be	AUX
ejpam-1515	180	38	resolved	resolve	VERB
ejpam-1515	180	39	.	.	PUNCT
ejpam-1515	181	1	this	this	PRON
ejpam-1515	181	2	is	be	AUX
ejpam-1515	181	3	done	do	VERB
ejpam-1515	181	4	through	through	ADP
ejpam-1515	181	5	lax	lax	ADJ
ejpam-1515	181	6	pairs	pair	NOUN
ejpam-1515	181	7	,	,	PUNCT
ejpam-1515	181	8	which	which	PRON
ejpam-1515	181	9	are	be	AUX
ejpam-1515	181	10	pairs	pair	NOUN
ejpam-1515	181	11	of	of	ADP
ejpam-1515	181	12	time	time	NOUN
ejpam-1515	181	13	dependent	dependent	ADJ
ejpam-1515	181	14	operators	operator	NOUN
ejpam-1515	181	15	(	(	PUNCT
ejpam-1515	181	16	l	l	NOUN
ejpam-1515	181	17	,	,	PUNCT
ejpam-1515	181	18	x	x	PUNCT
ejpam-1515	181	19	)	)	PUNCT
ejpam-1515	181	20	.	.	PUNCT
ejpam-1515	182	1	if	if	SCONJ
ejpam-1515	182	2	ġ(t	ġ(t	X
ejpam-1515	182	3	)	)	PUNCT
ejpam-1515	182	4	=	=	SYM
ejpam-1515	182	5	g(t)x	g(t)x	PROPN
ejpam-1515	182	6	and	and	CCONJ
ejpam-1515	182	7	l̇	l̇	PROPN
ejpam-1515	182	8	=	=	PUNCT
ejpam-1515	183	1	[	[	X
ejpam-1515	183	2	l(t	l(t	X
ejpam-1515	183	3	)	)	PUNCT
ejpam-1515	183	4	,	,	PUNCT
ejpam-1515	184	1	x	x	X
ejpam-1515	184	2	]	]	PUNCT
ejpam-1515	184	3	=	=	SYM
ejpam-1515	184	4	0	0	PUNCT
ejpam-1515	184	5	then	then	ADV
ejpam-1515	184	6	g(t)l(t)g−1(t	g(t)l(t)g−1(t	PUNCT
ejpam-1515	184	7	)	)	PUNCT
ejpam-1515	184	8	is	be	AUX
ejpam-1515	184	9	independent	independent	ADJ
ejpam-1515	184	10	of	of	ADP
ejpam-1515	184	11	time	time	NOUN
ejpam-1515	184	12	.	.	PUNCT
ejpam-1515	185	1	in	in	ADP
ejpam-1515	185	2	the	the	DET
ejpam-1515	185	3	previous	previous	ADJ
ejpam-1515	185	4	section	section	NOUN
ejpam-1515	185	5	,	,	PUNCT
ejpam-1515	185	6	an	an	DET
ejpam-1515	185	7	important	important	ADJ
ejpam-1515	185	8	relationship	relationship	NOUN
ejpam-1515	185	9	was	be	AUX
ejpam-1515	185	10	found	find	VERB
ejpam-1515	185	11	which	which	PRON
ejpam-1515	185	12	is	be	AUX
ejpam-1515	185	13	now	now	ADV
ejpam-1515	185	14	used	use	VERB
ejpam-1515	185	15	to	to	PART
ejpam-1515	185	16	find	find	VERB
ejpam-1515	185	17	the	the	DET
ejpam-1515	185	18	invariant	invariant	ADJ
ejpam-1515	185	19	lax	lax	ADJ
ejpam-1515	185	20	operator	operator	NOUN
ejpam-1515	185	21	.	.	PUNCT
ejpam-1515	186	1	first	first	ADV
ejpam-1515	186	2	the	the	DET
ejpam-1515	186	3	lax	lax	ADJ
ejpam-1515	186	4	pair	pair	NOUN
ejpam-1515	186	5	theorem	theorem	VERB
ejpam-1515	186	6	for	for	ADP
ejpam-1515	186	7	left	left	ADJ
ejpam-1515	186	8	invariant	invariant	ADJ
ejpam-1515	186	9	systems	system	NOUN
ejpam-1515	186	10	is	be	AUX
ejpam-1515	186	11	presented	present	VERB
ejpam-1515	186	12	based	base	VERB
ejpam-1515	186	13	on	on	ADP
ejpam-1515	186	14	the	the	DET
ejpam-1515	186	15	work	work	NOUN
ejpam-1515	186	16	by	by	ADP
ejpam-1515	186	17	peter	peter	PROPN
ejpam-1515	186	18	lax	lax	PROPN
ejpam-1515	186	19	in	in	ADP
ejpam-1515	186	20	1968	1968	NUM
ejpam-1515	187	1	[	[	X
ejpam-1515	187	2	13	13	NUM
ejpam-1515	187	3	]	]	PUNCT
ejpam-1515	187	4	.	.	PUNCT
ejpam-1515	188	1	after	after	ADP
ejpam-1515	188	2	that	that	PRON
ejpam-1515	188	3	the	the	DET
ejpam-1515	188	4	invariant	invariant	ADJ
ejpam-1515	188	5	lax	lax	ADJ
ejpam-1515	188	6	operators	operator	NOUN
ejpam-1515	188	7	are	be	AUX
ejpam-1515	188	8	found	find	VERB
ejpam-1515	188	9	from	from	ADP
ejpam-1515	188	10	the	the	DET
ejpam-1515	188	11	casimir	casimir	NOUN
ejpam-1515	188	12	invariants	invariant	NOUN
ejpam-1515	188	13	found	find	VERB
ejpam-1515	188	14	earlier	early	ADV
ejpam-1515	188	15	.	.	PUNCT
ejpam-1515	189	1	theorem	theorem	NOUN
ejpam-1515	189	2	6	6	NUM
ejpam-1515	189	3	(	(	PUNCT
ejpam-1515	189	4	lax	lax	ADJ
ejpam-1515	189	5	pair	pair	NOUN
ejpam-1515	189	6	theorem	theorem	NOUN
ejpam-1515	189	7	for	for	ADP
ejpam-1515	189	8	left	left	ADJ
ejpam-1515	189	9	invariant	invariant	ADJ
ejpam-1515	189	10	systems	system	NOUN
ejpam-1515	189	11	)	)	PUNCT
ejpam-1515	189	12	.	.	PUNCT
ejpam-1515	190	1	given	give	VERB
ejpam-1515	190	2	that	that	SCONJ
ejpam-1515	190	3	the	the	DET
ejpam-1515	190	4	inverse	inverse	NOUN
ejpam-1515	190	5	of	of	ADP
ejpam-1515	190	6	g	g	PROPN
ejpam-1515	190	7	exists	exist	VERB
ejpam-1515	190	8	and	and	CCONJ
ejpam-1515	190	9	that	that	SCONJ
ejpam-1515	190	10	g	g	PROPN
ejpam-1515	190	11	and	and	CCONJ
ejpam-1515	190	12	l	l	NOUN
ejpam-1515	190	13	are	be	AUX
ejpam-1515	190	14	differentiable	differentiable	ADJ
ejpam-1515	190	15	,	,	PUNCT
ejpam-1515	190	16	then	then	ADV
ejpam-1515	190	17	ġ	ġ	PROPN
ejpam-1515	190	18	=	=	PUNCT
ejpam-1515	190	19	gx	gx	PROPN
ejpam-1515	190	20	l̇	l̇	PROPN
ejpam-1515	190	21	=	=	PUNCT
ejpam-1515	191	1	[	[	X
ejpam-1515	191	2	l	l	NOUN
ejpam-1515	191	3	,	,	PUNCT
ejpam-1515	191	4	x	x	SYM
ejpam-1515	191	5	]	]	X
ejpam-1515	191	6	(	(	PUNCT
ejpam-1515	191	7	21	21	NUM
ejpam-1515	191	8	)	)	PUNCT
ejpam-1515	192	1	if	if	SCONJ
ejpam-1515	192	2	and	and	CCONJ
ejpam-1515	192	3	only	only	ADV
ejpam-1515	192	4	if	if	SCONJ
ejpam-1515	192	5	g(t)l(t)g−1(t	g(t)l(t)g−1(t	PRON
ejpam-1515	192	6	)	)	PUNCT
ejpam-1515	192	7	is	be	AUX
ejpam-1515	192	8	independent	independent	ADJ
ejpam-1515	192	9	of	of	ADP
ejpam-1515	192	10	time	time	NOUN
ejpam-1515	192	11	.	.	PUNCT
ejpam-1515	193	1	proof	proof	NOUN
ejpam-1515	193	2	.	.	PUNCT
ejpam-1515	194	1	=	=	ADJ
ejpam-1515	194	2	⇒if	⇒if	ADJ
ejpam-1515	194	3	l̇	l̇	NOUN
ejpam-1515	194	4	=	=	PUNCT
ejpam-1515	195	1	[	[	X
ejpam-1515	195	2	l	l	NOUN
ejpam-1515	195	3	,	,	PUNCT
ejpam-1515	195	4	x	x	SYM
ejpam-1515	195	5	]	]	X
ejpam-1515	195	6	=	=	PUNCT
ejpam-1515	195	7	lx	lx	ADP
ejpam-1515	195	8	−	−	PROPN
ejpam-1515	196	1	x	x	SYM
ejpam-1515	196	2	l	l	NOUN
ejpam-1515	196	3	then	then	ADV
ejpam-1515	196	4	g	g	PROPN
ejpam-1515	196	5	l̇	l̇	PROPN
ejpam-1515	197	1	g−1	g−1	PROPN
ejpam-1515	197	2	=	=	PUNCT
ejpam-1515	197	3	g	g	NOUN
ejpam-1515	197	4	lx	lx	ADP
ejpam-1515	197	5	g−1	g−1	PROPN
ejpam-1515	197	6	−	−	PROPN
ejpam-1515	197	7	gx	gx	PROPN
ejpam-1515	197	8	lg−1	lg−1	PROPN
ejpam-1515	197	9	since	since	SCONJ
ejpam-1515	197	10	ġ	ġ	PROPN
ejpam-1515	197	11	=	=	PUNCT
ejpam-1515	197	12	gx	gx	PROPN
ejpam-1515	197	13	g	g	PROPN
ejpam-1515	197	14	l̇g−1	l̇g−1	NOUN
ejpam-1515	197	15	=	=	PUNCT
ejpam-1515	197	16	−g	−g	NOUN
ejpam-1515	197	17	l	l	NOUN
ejpam-1515	197	18	˙g−1	˙g−1	NOUN
ejpam-1515	197	19	−	−	PROPN
ejpam-1515	197	20	ġ	ġ	NOUN
ejpam-1515	197	21	lg−1	lg−1	VERB
ejpam-1515	197	22	g	g	PROPN
ejpam-1515	197	23	l̇g−1	l̇g−1	NOUN
ejpam-1515	198	1	+	+	CCONJ
ejpam-1515	198	2	g	g	NOUN
ejpam-1515	198	3	l	l	NOUN
ejpam-1515	198	4	˙g−1	˙g−1	VERB
ejpam-1515	199	1	+	+	CCONJ
ejpam-1515	199	2	ġ	ġ	NOUN
ejpam-1515	199	3	lg−1	lg−1	NOUN
ejpam-1515	199	4	=	=	PUNCT
ejpam-1515	199	5	d	d	PROPN
ejpam-1515	199	6	d	d	PROPN
ejpam-1515	199	7	t	t	PROPN
ejpam-1515	199	8	�	�	PROPN
ejpam-1515	199	9	g	g	PROPN
ejpam-1515	199	10	lg−1	lg−1	PROPN
ejpam-1515	199	11	�	�	PROPN
ejpam-1515	199	12	=	=	SYM
ejpam-1515	199	13	0	0	NUM
ejpam-1515	199	14	c.	c.	PROPN
ejpam-1515	199	15	linton	linton	PROPN
ejpam-1515	199	16	,	,	PUNCT
ejpam-1515	199	17	w.	w.	PROPN
ejpam-1515	199	18	holderbaum	holderbaum	PROPN
ejpam-1515	199	19	,	,	PUNCT
ejpam-1515	199	20	j.	j.	PROPN
ejpam-1515	199	21	biggs	biggs	PROPN
ejpam-1515	199	22	/	/	SYM
ejpam-1515	199	23	eur	eur	PROPN
ejpam-1515	199	24	.	.	PUNCT
ejpam-1515	200	1	j.	j.	PROPN
ejpam-1515	200	2	pure	pure	PROPN
ejpam-1515	200	3	appl	appl	PROPN
ejpam-1515	200	4	.	.	PROPN
ejpam-1515	200	5	math	math	PROPN
ejpam-1515	200	6	,	,	PUNCT
ejpam-1515	200	7	5	5	NUM
ejpam-1515	200	8	(	(	PUNCT
ejpam-1515	200	9	2012	2012	NUM
ejpam-1515	200	10	)	)	PUNCT
ejpam-1515	200	11	,	,	PUNCT
ejpam-1515	200	12	567	567	NUM
ejpam-1515	200	13	-	-	SYM
ejpam-1515	200	14	583	583	NUM
ejpam-1515	200	15	577	577	NUM
ejpam-1515	200	16	hence	hence	ADV
ejpam-1515	200	17	g(t)l(t)g−1(t	g(t)l(t)g−1(t	VERB
ejpam-1515	200	18	)	)	PUNCT
ejpam-1515	200	19	is	be	AUX
ejpam-1515	200	20	independent	independent	ADJ
ejpam-1515	200	21	of	of	ADP
ejpam-1515	200	22	time	time	NOUN
ejpam-1515	200	23	.	.	PUNCT
ejpam-1515	201	1	⇐	⇐	PROPN
ejpam-1515	201	2	=	=	SYM
ejpam-1515	201	3	if	if	SCONJ
ejpam-1515	201	4	g	g	PROPN
ejpam-1515	201	5	lg−1	lg−1	PROPN
ejpam-1515	201	6	is	be	AUX
ejpam-1515	201	7	independent	independent	ADJ
ejpam-1515	201	8	of	of	ADP
ejpam-1515	201	9	time	time	NOUN
ejpam-1515	201	10	,	,	PUNCT
ejpam-1515	201	11	then	then	ADV
ejpam-1515	201	12	d	d	PROPN
ejpam-1515	201	13	d	d	PROPN
ejpam-1515	201	14	t	t	PROPN
ejpam-1515	201	15	�	�	PROPN
ejpam-1515	201	16	g	g	PROPN
ejpam-1515	201	17	lg−1	lg−1	PROPN
ejpam-1515	201	18	�	�	PROPN
ejpam-1515	201	19	=	=	SYM
ejpam-1515	201	20	0	0	NUM
ejpam-1515	201	21	ġ	ġ	NOUN
ejpam-1515	201	22	lg−1	lg−1	VERB
ejpam-1515	201	23	+	+	CCONJ
ejpam-1515	201	24	g	g	NOUN
ejpam-1515	201	25	l̇g−1	l̇g−1	NOUN
ejpam-1515	201	26	+	+	CCONJ
ejpam-1515	201	27	g	g	NOUN
ejpam-1515	201	28	l	l	NOUN
ejpam-1515	201	29	˙g−1	˙g−1	NOUN
ejpam-1515	202	1	=	=	X
ejpam-1515	202	2	0	0	PUNCT
ejpam-1515	202	3	since	since	SCONJ
ejpam-1515	202	4	ġ	ġ	PROPN
ejpam-1515	202	5	=	=	SYM
ejpam-1515	202	6	gx	gx	PROPN
ejpam-1515	202	7	and	and	CCONJ
ejpam-1515	202	8	d	d	PROPN
ejpam-1515	202	9	d	d	PROPN
ejpam-1515	202	10	t	t	X
ejpam-1515	202	11	g−1	g−1	PROPN
ejpam-1515	202	12	=	=	SYM
ejpam-1515	202	13	−g−1	−g−1	NUM
ejpam-1515	202	14	ġ	ġ	NOUN
ejpam-1515	203	1	g−1	g−1	PROPN
ejpam-1515	203	2	=	=	PUNCT
ejpam-1515	203	3	−g−1	−g−1	NUM
ejpam-1515	203	4	gx	gx	X
ejpam-1515	203	5	g−1	g−1	PROPN
ejpam-1515	203	6	=	=	PROPN
ejpam-1515	203	7	−x	−x	NOUN
ejpam-1515	203	8	g−1	g−1	PROPN
ejpam-1515	203	9	gx	gx	PROPN
ejpam-1515	203	10	lg−1	lg−1	PROPN
ejpam-1515	203	11	+	+	CCONJ
ejpam-1515	203	12	g	g	PROPN
ejpam-1515	203	13	l̇g−1	l̇g−1	NOUN
ejpam-1515	203	14	−	−	PROPN
ejpam-1515	203	15	g	g	NOUN
ejpam-1515	203	16	lx	lx	ADP
ejpam-1515	203	17	g−1	g−1	PROPN
ejpam-1515	203	18	=	=	SYM
ejpam-1515	203	19	0	0	PUNCT
ejpam-1515	203	20	x	x	SYM
ejpam-1515	203	21	l	l	NOUN
ejpam-1515	204	1	+	+	CCONJ
ejpam-1515	204	2	l̇−	l̇−	ADV
ejpam-1515	204	3	lx	lx	NOUN
ejpam-1515	204	4	=	=	NOUN
ejpam-1515	204	5	0	0	NUM
ejpam-1515	204	6	l̇	l̇	NOUN
ejpam-1515	204	7	=	=	PUNCT
ejpam-1515	205	1	[	[	X
ejpam-1515	205	2	l	l	NOUN
ejpam-1515	205	3	,	,	PUNCT
ejpam-1515	205	4	x	x	SYM
ejpam-1515	205	5	]	]	PUNCT
ejpam-1515	205	6	and	and	CCONJ
ejpam-1515	205	7	the	the	DET
ejpam-1515	205	8	converse	converse	NOUN
ejpam-1515	205	9	is	be	AUX
ejpam-1515	205	10	proved	prove	VERB
ejpam-1515	205	11	.	.	PUNCT
ejpam-1515	206	1	a	a	DET
ejpam-1515	206	2	general	general	ADJ
ejpam-1515	206	3	relationship	relationship	NOUN
ejpam-1515	206	4	between	between	ADP
ejpam-1515	206	5	a	a	DET
ejpam-1515	206	6	lax	lax	ADJ
ejpam-1515	206	7	operator	operator	NOUN
ejpam-1515	206	8	and	and	CCONJ
ejpam-1515	206	9	casimir	casimir	NOUN
ejpam-1515	206	10	invariant	invariant	ADJ
ejpam-1515	206	11	functions	function	NOUN
ejpam-1515	206	12	has	have	AUX
ejpam-1515	206	13	been	be	AUX
ejpam-1515	206	14	proved	prove	VERB
ejpam-1515	206	15	in	in	ADP
ejpam-1515	206	16	previous	previous	ADJ
ejpam-1515	206	17	papers	paper	NOUN
ejpam-1515	206	18	[	[	X
ejpam-1515	206	19	see	see	VERB
ejpam-1515	206	20	17	17	NUM
ejpam-1515	206	21	,	,	PUNCT
ejpam-1515	206	22	19	19	NUM
ejpam-1515	206	23	,	,	PUNCT
ejpam-1515	206	24	18	18	NUM
ejpam-1515	206	25	]	]	PUNCT
ejpam-1515	206	26	and	and	CCONJ
ejpam-1515	206	27	relies	rely	VERB
ejpam-1515	206	28	on	on	ADP
ejpam-1515	206	29	a	a	DET
ejpam-1515	206	30	nondegenerate	nondegenerate	ADJ
ejpam-1515	206	31	bi	bi	ADJ
ejpam-1515	206	32	-	-	ADJ
ejpam-1515	206	33	linear	linear	ADJ
ejpam-1515	206	34	form	form	NOUN
ejpam-1515	206	35	and	and	CCONJ
ejpam-1515	206	36	the	the	DET
ejpam-1515	206	37	cartan	cartan	ADJ
ejpam-1515	206	38	decomposition	decomposition	NOUN
ejpam-1515	206	39	.	.	PUNCT
ejpam-1515	207	1	the	the	DET
ejpam-1515	207	2	situation	situation	NOUN
ejpam-1515	207	3	is	be	AUX
ejpam-1515	207	4	easier	easy	ADJ
ejpam-1515	207	5	when	when	SCONJ
ejpam-1515	207	6	considering	consider	VERB
ejpam-1515	207	7	matrix	matrix	NOUN
ejpam-1515	207	8	lie	lie	NOUN
ejpam-1515	207	9	algebras	algebra	NOUN
ejpam-1515	207	10	with	with	ADP
ejpam-1515	207	11	an	an	DET
ejpam-1515	207	12	imposed	impose	VERB
ejpam-1515	207	13	lie	lie	NOUN
ejpam-1515	207	14	-	-	PUNCT
ejpam-1515	207	15	poisson	poisson	NOUN
ejpam-1515	207	16	structure	structure	NOUN
ejpam-1515	207	17	although	although	SCONJ
ejpam-1515	207	18	a	a	DET
ejpam-1515	207	19	nondegenerate	nondegenerate	ADJ
ejpam-1515	207	20	bi	bi	ADJ
ejpam-1515	207	21	-	-	ADJ
ejpam-1515	207	22	linear	linear	ADJ
ejpam-1515	207	23	form	form	NOUN
ejpam-1515	207	24	i	i	PRON
ejpam-1515	207	25	is	be	AUX
ejpam-1515	207	26	assumed	assume	VERB
ejpam-1515	207	27	in	in	ADP
ejpam-1515	207	28	dually	dually	ADV
ejpam-1515	207	29	g	g	NOUN
ejpam-1515	207	30	see	see	VERB
ejpam-1515	207	31	equation	equation	NOUN
ejpam-1515	207	32	(	(	PUNCT
ejpam-1515	207	33	4	4	NUM
ejpam-1515	207	34	)	)	PUNCT
ejpam-1515	207	35	.	.	PUNCT
ejpam-1515	208	1	earlier	early	ADV
ejpam-1515	208	2	it	it	PRON
ejpam-1515	208	3	was	be	AUX
ejpam-1515	208	4	shown	show	VERB
ejpam-1515	208	5	that	that	SCONJ
ejpam-1515	208	6	�	�	PROPN
ejpam-1515	208	7	xc	xc	PROPN
ejpam-1515	208	8	,	,	PUNCT
ejpam-1515	208	9	x	x	X
ejpam-1515	208	10	�	�	PROPN
ejpam-1515	208	11	=	=	NOUN
ejpam-1515	208	12	0	0	NUM
ejpam-1515	208	13	for	for	ADP
ejpam-1515	208	14	all	all	DET
ejpam-1515	208	15	vector	vector	NOUN
ejpam-1515	208	16	fields	field	NOUN
ejpam-1515	208	17	x	x	PUNCT
ejpam-1515	208	18	∈	∈	NOUN
ejpam-1515	208	19	g∗	g∗	VERB
ejpam-1515	208	20	where	where	SCONJ
ejpam-1515	208	21	xc	xc	PROPN
ejpam-1515	208	22	=	=	PROPN
ejpam-1515	208	23	∂	∂	PROPN
ejpam-1515	208	24	c	c	PROPN
ejpam-1515	208	25	∂	∂	NUM
ejpam-1515	209	1	pi	pi	NOUN
ejpam-1515	210	1	ck	ck	INTJ
ejpam-1515	210	2	i	i	PRON
ejpam-1515	210	3	j	j	PROPN
ejpam-1515	210	4	pk	pk	PROPN
ejpam-1515	210	5	∂	∂	NUM
ejpam-1515	210	6	∂	∂	NOUN
ejpam-1515	210	7	p	p	PROPN
ejpam-1515	210	8	j	j	PROPN
ejpam-1515	210	9	from	from	ADP
ejpam-1515	210	10	the	the	DET
ejpam-1515	210	11	derivation	derivation	NOUN
ejpam-1515	210	12	of	of	ADP
ejpam-1515	210	13	the	the	DET
ejpam-1515	210	14	hamiltonian	hamiltonian	ADJ
ejpam-1515	210	15	vector	vector	NOUN
ejpam-1515	210	16	field	field	NOUN
ejpam-1515	210	17	,	,	PUNCT
ejpam-1515	210	18	the	the	DET
ejpam-1515	210	19	following	follow	VERB
ejpam-1515	210	20	expression	expression	NOUN
ejpam-1515	210	21	was	be	AUX
ejpam-1515	210	22	found	find	VERB
ejpam-1515	210	23	xh	xh	PROPN
ejpam-1515	210	24	=	=	SYM
ejpam-1515	210	25	−	−	PROPN
ejpam-1515	210	26	∂	∂	NUM
ejpam-1515	210	27	h	h	NOUN
ejpam-1515	210	28	∂	∂	NOUN
ejpam-1515	211	1	p	p	NOUN
ejpam-1515	212	1	j	j	PROPN
ejpam-1515	213	1	ck	ck	INTJ
ejpam-1515	214	1	i	i	PRON
ejpam-1515	214	2	j	j	PROPN
ejpam-1515	214	3	pk	pk	PROPN
ejpam-1515	214	4	∂	∂	NUM
ejpam-1515	214	5	∂	∂	NUM
ejpam-1515	214	6	pi	pi	NOUN
ejpam-1515	214	7	=	=	PUNCT
ejpam-1515	214	8	i∇h	i∇h	NOUN
ejpam-1515	214	9	this	this	PRON
ejpam-1515	214	10	can	can	AUX
ejpam-1515	214	11	be	be	AUX
ejpam-1515	214	12	applied	apply	VERB
ejpam-1515	214	13	to	to	ADP
ejpam-1515	214	14	any	any	DET
ejpam-1515	214	15	function	function	NOUN
ejpam-1515	214	16	such	such	ADJ
ejpam-1515	214	17	as	as	ADP
ejpam-1515	214	18	a	a	DET
ejpam-1515	214	19	casimir	casimir	NOUN
ejpam-1515	214	20	so	so	SCONJ
ejpam-1515	214	21	that	that	SCONJ
ejpam-1515	214	22	xc	xc	PROPN
ejpam-1515	215	1	=	=	NOUN
ejpam-1515	215	2	−	−	PROPN
ejpam-1515	215	3	∂	∂	NUM
ejpam-1515	215	4	c	c	NOUN
ejpam-1515	215	5	∂	∂	NOUN
ejpam-1515	216	1	p	p	NOUN
ejpam-1515	216	2	j	j	PROPN
ejpam-1515	216	3	ck	ck	INTJ
ejpam-1515	217	1	i	i	PRON
ejpam-1515	217	2	j	j	PROPN
ejpam-1515	217	3	pk	pk	PROPN
ejpam-1515	217	4	∂	∂	NUM
ejpam-1515	217	5	∂	∂	NUM
ejpam-1515	217	6	pi	pi	NOUN
ejpam-1515	217	7	=	=	SYM
ejpam-1515	217	8	i∇c	i∇c	PROPN
ejpam-1515	217	9	(	(	PUNCT
ejpam-1515	217	10	the	the	DET
ejpam-1515	217	11	first	first	ADJ
ejpam-1515	217	12	equality	equality	NOUN
ejpam-1515	217	13	was	be	AUX
ejpam-1515	217	14	proved	prove	VERB
ejpam-1515	217	15	earlier	early	ADV
ejpam-1515	217	16	.	.	PUNCT
ejpam-1515	218	1	the	the	DET
ejpam-1515	218	2	second	second	ADJ
ejpam-1515	218	3	equality	equality	NOUN
ejpam-1515	218	4	uses	use	VERB
ejpam-1515	218	5	the	the	DET
ejpam-1515	218	6	mapping	mapping	NOUN
ejpam-1515	218	7	−ck	−ck	INTJ
ejpam-1515	219	1	i	i	PRON
ejpam-1515	219	2	j	j	PROPN
ejpam-1515	219	3	pk	pk	PROPN
ejpam-1515	219	4	∂	∂	NUM
ejpam-1515	219	5	∂	∂	NUM
ejpam-1515	219	6	pi	pi	NOUN
ejpam-1515	219	7	=	=	SYM
ejpam-1515	219	8	e	e	PROPN
ejpam-1515	219	9	j	j	NOUN
ejpam-1515	219	10	which	which	PRON
ejpam-1515	219	11	is	be	AUX
ejpam-1515	219	12	independent	independent	ADJ
ejpam-1515	219	13	of	of	ADP
ejpam-1515	219	14	the	the	DET
ejpam-1515	219	15	function	function	NOUN
ejpam-1515	219	16	)	)	PUNCT
ejpam-1515	219	17	.	.	PUNCT
ejpam-1515	220	1	the	the	DET
ejpam-1515	220	2	expression	expression	NOUN
ejpam-1515	220	3	�	�	PROPN
ejpam-1515	220	4	xc	xc	PROPN
ejpam-1515	220	5	,	,	PUNCT
ejpam-1515	220	6	x	x	X
ejpam-1515	220	7	�	�	PROPN
ejpam-1515	220	8	=	=	SYM
ejpam-1515	220	9	0	0	NUM
ejpam-1515	220	10	is	be	AUX
ejpam-1515	220	11	lowered	lower	VERB
ejpam-1515	220	12	to	to	ADP
ejpam-1515	220	13	the	the	DET
ejpam-1515	220	14	lie	lie	NOUN
ejpam-1515	220	15	algebra	algebra	NOUN
ejpam-1515	220	16	using	use	VERB
ejpam-1515	220	17	the	the	DET
ejpam-1515	220	18	inverse	inverse	NOUN
ejpam-1515	220	19	form	form	NOUN
ejpam-1515	220	20	i−1	i−1	PROPN
ejpam-1515	220	21	to	to	PART
ejpam-1515	220	22	give	give	VERB
ejpam-1515	220	23	i	i	PRON
ejpam-1515	220	24	−1	−1	NOUN
ejpam-1515	220	25	�	�	PROPN
ejpam-1515	220	26	xc	xc	PROPN
ejpam-1515	220	27	,	,	PUNCT
ejpam-1515	220	28	x	x	X
ejpam-1515	220	29	�	�	PROPN
ejpam-1515	220	30	=	=	NOUN
ejpam-1515	220	31	0	0	NUM
ejpam-1515	220	32	for	for	SCONJ
ejpam-1515	220	33	all	all	PRON
ejpam-1515	220	34	x	x	SYM
ejpam-1515	220	35	∈	∈	PROPN
ejpam-1515	220	36	g∗	g∗	NOUN
ejpam-1515	220	37	�	�	PROPN
ejpam-1515	221	1	i	i	PRON
ejpam-1515	221	2	−1xc	−1xc	VERB
ejpam-1515	221	3	,	,	PUNCT
ejpam-1515	221	4	i−1x	i−1x	ADJ
ejpam-1515	221	5	�	�	PROPN
ejpam-1515	221	6	=	=	SYM
ejpam-1515	221	7	0	0	NUM
ejpam-1515	221	8	�	�	PROPN
ejpam-1515	221	9	∇c	∇c	PROPN
ejpam-1515	221	10	,	,	PUNCT
ejpam-1515	221	11	x	x	PROPN
ejpam-1515	221	12	♯	♯	PROPN
ejpam-1515	221	13	�	�	PROPN
ejpam-1515	221	14	=	=	SYM
ejpam-1515	221	15	0	0	NUM
ejpam-1515	221	16	for	for	ADP
ejpam-1515	221	17	all	all	DET
ejpam-1515	221	18	x	x	NUM
ejpam-1515	221	19	♯	♯	PROPN
ejpam-1515	221	20	∈	∈	PROPN
ejpam-1515	221	21	g	g	PROPN
ejpam-1515	221	22	in	in	ADP
ejpam-1515	221	23	particular	particular	ADJ
ejpam-1515	221	24	,	,	PUNCT
ejpam-1515	221	25	if	if	SCONJ
ejpam-1515	221	26	l	l	NOUN
ejpam-1515	221	27	=	=	PUNCT
ejpam-1515	221	28	∇c	∇c	PROPN
ejpam-1515	222	1	then	then	ADV
ejpam-1515	223	1	d	d	X
ejpam-1515	223	2	l	l	NOUN
ejpam-1515	223	3	d	d	X
ejpam-1515	223	4	t	t	NOUN
ejpam-1515	223	5	=	=	PUNCT
ejpam-1515	224	1	[	[	X
ejpam-1515	224	2	l	l	NOUN
ejpam-1515	224	3	,	,	PUNCT
ejpam-1515	224	4	x	x	X
ejpam-1515	224	5	]	]	X
ejpam-1515	224	6	=	=	PUNCT
ejpam-1515	224	7	0	0	NUM
ejpam-1515	225	1	for	for	ADP
ejpam-1515	225	2	x	x	SYM
ejpam-1515	225	3	such	such	ADJ
ejpam-1515	225	4	that	that	DET
ejpam-1515	225	5	˙g	˙g	PROPN
ejpam-1515	225	6	(	(	PUNCT
ejpam-1515	225	7	t	t	PROPN
ejpam-1515	225	8	)	)	PUNCT
ejpam-1515	225	9	=	=	SYM
ejpam-1515	225	10	g	g	PROPN
ejpam-1515	225	11	(	(	PUNCT
ejpam-1515	225	12	t	t	PROPN
ejpam-1515	225	13	)	)	PUNCT
ejpam-1515	225	14	x	x	X
ejpam-1515	225	15	.	.	PUNCT
ejpam-1515	226	1	the	the	DET
ejpam-1515	226	2	lax	lax	PROPN
ejpam-1515	226	3	operators	operator	NOUN
ejpam-1515	226	4	are	be	AUX
ejpam-1515	226	5	given	give	VERB
ejpam-1515	226	6	by	by	ADP
ejpam-1515	226	7	l	l	NOUN
ejpam-1515	226	8	=	=	PUNCT
ejpam-1515	226	9	∇c	∇c	PROPN
ejpam-1515	226	10	for	for	ADP
ejpam-1515	226	11	all	all	DET
ejpam-1515	226	12	the	the	DET
ejpam-1515	226	13	casimir	casimir	NOUN
ejpam-1515	226	14	functions	function	NOUN
ejpam-1515	226	15	of	of	ADP
ejpam-1515	226	16	the	the	DET
ejpam-1515	226	17	lie	lie	NOUN
ejpam-1515	226	18	group	group	NOUN
ejpam-1515	226	19	.	.	PUNCT
ejpam-1515	227	1	c.	c.	PROPN
ejpam-1515	227	2	linton	linton	PROPN
ejpam-1515	227	3	,	,	PUNCT
ejpam-1515	227	4	w.	w.	PROPN
ejpam-1515	227	5	holderbaum	holderbaum	PROPN
ejpam-1515	227	6	,	,	PUNCT
ejpam-1515	227	7	j.	j.	PROPN
ejpam-1515	227	8	biggs	biggs	PROPN
ejpam-1515	227	9	/	/	SYM
ejpam-1515	227	10	eur	eur	PROPN
ejpam-1515	227	11	.	.	PUNCT
ejpam-1515	228	1	j.	j.	PROPN
ejpam-1515	228	2	pure	pure	PROPN
ejpam-1515	228	3	appl	appl	PROPN
ejpam-1515	228	4	.	.	PROPN
ejpam-1515	228	5	math	math	PROPN
ejpam-1515	228	6	,	,	PUNCT
ejpam-1515	228	7	5	5	NUM
ejpam-1515	228	8	(	(	PUNCT
ejpam-1515	228	9	2012	2012	NUM
ejpam-1515	228	10	)	)	PUNCT
ejpam-1515	228	11	,	,	PUNCT
ejpam-1515	228	12	567	567	NUM
ejpam-1515	228	13	-	-	SYM
ejpam-1515	228	14	583	583	NUM
ejpam-1515	228	15	578	578	NUM
ejpam-1515	228	16	for	for	ADP
ejpam-1515	228	17	example	example	NOUN
ejpam-1515	228	18	,	,	PUNCT
ejpam-1515	228	19	the	the	DET
ejpam-1515	228	20	lax	lax	ADJ
ejpam-1515	228	21	operator	operator	NOUN
ejpam-1515	228	22	for	for	ADP
ejpam-1515	228	23	so	so	ADV
ejpam-1515	228	24	(	(	PUNCT
ejpam-1515	228	25	3	3	NUM
ejpam-1515	228	26	)	)	PUNCT
ejpam-1515	228	27	is	be	AUX
ejpam-1515	228	28	∇c	∇c	VERB
ejpam-1515	228	29	=	=	NOUN
ejpam-1515	228	30	∇	∇	X
ejpam-1515	228	31	3	3	NUM
ejpam-1515	228	32	∑	∑	PROPN
ejpam-1515	228	33	i=1	i=1	PROPN
ejpam-1515	228	34	p2	p2	PROPN
ejpam-1515	229	1	i	i	NOUN
ejpam-1515	229	2	=	=	NOUN
ejpam-1515	229	3	2	2	NUM
ejpam-1515	229	4	3	3	NUM
ejpam-1515	229	5	∑	∑	PROPN
ejpam-1515	229	6	i=1	i=1	PROPN
ejpam-1515	229	7	piei	piei	PROPN
ejpam-1515	229	8	by	by	ADP
ejpam-1515	229	9	limiting	limit	VERB
ejpam-1515	229	10	the	the	DET
ejpam-1515	229	11	scope	scope	NOUN
ejpam-1515	229	12	of	of	ADP
ejpam-1515	229	13	the	the	DET
ejpam-1515	229	14	paper	paper	NOUN
ejpam-1515	229	15	to	to	PART
ejpam-1515	229	16	matrix	matrix	VERB
ejpam-1515	229	17	lie	lie	NOUN
ejpam-1515	229	18	algebras	algebra	NOUN
ejpam-1515	229	19	of	of	ADP
ejpam-1515	229	20	finite	finite	ADJ
ejpam-1515	229	21	dimensions	dimension	NOUN
ejpam-1515	229	22	with	with	ADP
ejpam-1515	229	23	the	the	DET
ejpam-1515	229	24	liepoisson	liepoisson	NOUN
ejpam-1515	229	25	structure	structure	NOUN
ejpam-1515	229	26	imposed	impose	VERB
ejpam-1515	229	27	,	,	PUNCT
ejpam-1515	229	28	lax	lax	PROPN
ejpam-1515	229	29	operators	operator	NOUN
ejpam-1515	229	30	are	be	AUX
ejpam-1515	229	31	easily	easily	ADV
ejpam-1515	229	32	found	find	VERB
ejpam-1515	229	33	from	from	ADP
ejpam-1515	229	34	the	the	DET
ejpam-1515	229	35	casimir	casimir	NOUN
ejpam-1515	229	36	functions	function	NOUN
ejpam-1515	229	37	.	.	PUNCT
ejpam-1515	230	1	alternatively	alternatively	ADV
ejpam-1515	230	2	,	,	PUNCT
ejpam-1515	230	3	the	the	DET
ejpam-1515	230	4	lax	lax	ADJ
ejpam-1515	230	5	operators	operator	NOUN
ejpam-1515	230	6	can	can	AUX
ejpam-1515	230	7	be	be	AUX
ejpam-1515	230	8	found	find	VERB
ejpam-1515	230	9	using	use	VERB
ejpam-1515	230	10	the	the	DET
ejpam-1515	230	11	structure	structure	NOUN
ejpam-1515	230	12	constants	constant	NOUN
ejpam-1515	230	13	and	and	CCONJ
ejpam-1515	230	14	the	the	DET
ejpam-1515	230	15	explicit	explicit	ADJ
ejpam-1515	230	16	matrices	matrix	NOUN
ejpam-1515	230	17	,	,	PUNCT
ejpam-1515	230	18	using	use	VERB
ejpam-1515	230	19	the	the	DET
ejpam-1515	230	20	method	method	NOUN
ejpam-1515	230	21	outlined	outline	VERB
ejpam-1515	230	22	below	below	ADV
ejpam-1515	230	23	.	.	PUNCT
ejpam-1515	231	1	1	1	X
ejpam-1515	231	2	.	.	X
ejpam-1515	231	3	assume	assume	VERB
ejpam-1515	231	4	that	that	SCONJ
ejpam-1515	231	5	the	the	DET
ejpam-1515	231	6	lax	lax	ADJ
ejpam-1515	231	7	pair	pair	NOUN
ejpam-1515	231	8	take	take	VERB
ejpam-1515	231	9	the	the	DET
ejpam-1515	231	10	form	form	NOUN
ejpam-1515	232	1	d	d	X
ejpam-1515	232	2	l	l	NOUN
ejpam-1515	232	3	d	d	X
ejpam-1515	232	4	t	t	NOUN
ejpam-1515	232	5	=	=	PUNCT
ejpam-1515	233	1	[	[	X
ejpam-1515	233	2	l	l	NOUN
ejpam-1515	233	3	,	,	PUNCT
ejpam-1515	233	4	x	x	X
ejpam-1515	233	5	]	]	X
ejpam-1515	233	6	]	]	PUNCT
ejpam-1515	233	7	with	with	ADP
ejpam-1515	233	8	l	l	NOUN
ejpam-1515	233	9	=	=	SYM
ejpam-1515	233	10	1	1	NUM
ejpam-1515	233	11	2	2	X
ejpam-1515	233	12	∇c	∇c	VERB
ejpam-1515	233	13	where	where	SCONJ
ejpam-1515	233	14	c	c	NOUN
ejpam-1515	233	15	is	be	AUX
ejpam-1515	233	16	any	any	DET
ejpam-1515	233	17	casimir	casimir	NOUN
ejpam-1515	233	18	invariant	invariant	NOUN
ejpam-1515	233	19	as	as	SCONJ
ejpam-1515	233	20	found	find	VERB
ejpam-1515	233	21	above	above	ADV
ejpam-1515	233	22	,	,	PUNCT
ejpam-1515	233	23	and	and	CCONJ
ejpam-1515	233	24	x	x	X
ejpam-1515	233	25	=	=	PUNCT
ejpam-1515	233	26	∑	∑	PUNCT
ejpam-1515	233	27	uiei	uiei	PROPN
ejpam-1515	233	28	.	.	PUNCT
ejpam-1515	234	1	2	2	X
ejpam-1515	234	2	.	.	X
ejpam-1515	234	3	expand	expand	VERB
ejpam-1515	234	4	the	the	DET
ejpam-1515	234	5	expression	expression	NOUN
ejpam-1515	234	6	for	for	ADP
ejpam-1515	234	7	l	l	NOUN
ejpam-1515	234	8	and	and	CCONJ
ejpam-1515	234	9	differentiate	differentiate	VERB
ejpam-1515	234	10	3	3	NUM
ejpam-1515	234	11	.	.	PUNCT
ejpam-1515	234	12	substitute	substitute	NOUN
ejpam-1515	234	13	for	for	ADP
ejpam-1515	234	14	the	the	DET
ejpam-1515	234	15	values	value	NOUN
ejpam-1515	234	16	of	of	ADP
ejpam-1515	234	17	ṗi	ṗi	PROPN
ejpam-1515	234	18	using	use	VERB
ejpam-1515	234	19	equation	equation	NOUN
ejpam-1515	234	20	(	(	PUNCT
ejpam-1515	234	21	17	17	NUM
ejpam-1515	234	22	)	)	PUNCT
ejpam-1515	234	23	4	4	NUM
ejpam-1515	234	24	.	.	PUNCT
ejpam-1515	234	25	then	then	ADV
ejpam-1515	234	26	expand	expand	VERB
ejpam-1515	234	27	the	the	DET
ejpam-1515	234	28	expression	expression	NOUN
ejpam-1515	234	29	2	2	NUM
ejpam-1515	234	30	d	d	NOUN
ejpam-1515	234	31	l	l	NOUN
ejpam-1515	234	32	d	d	X
ejpam-1515	234	33	t	t	NOUN
ejpam-1515	234	34	=	=	SYM
ejpam-1515	234	35	2	2	NUM
ejpam-1515	234	36	[	[	X
ejpam-1515	234	37	l	l	NOUN
ejpam-1515	234	38	,	,	PUNCT
ejpam-1515	234	39	x	x	X
ejpam-1515	234	40	]	]	PUNCT
ejpam-1515	234	41	using	use	VERB
ejpam-1515	234	42	the	the	DET
ejpam-1515	234	43	structure	structure	NOUN
ejpam-1515	234	44	constants	constant	NOUN
ejpam-1515	234	45	,	,	PUNCT
ejpam-1515	234	46	and	and	CCONJ
ejpam-1515	234	47	show	show	VERB
ejpam-1515	234	48	that	that	SCONJ
ejpam-1515	234	49	the	the	DET
ejpam-1515	234	50	two	two	NUM
ejpam-1515	234	51	are	be	AUX
ejpam-1515	234	52	equivalent	equivalent	ADJ
ejpam-1515	234	53	.	.	PUNCT
ejpam-1515	235	1	this	this	DET
ejpam-1515	235	2	final	final	ADJ
ejpam-1515	235	3	section	section	NOUN
ejpam-1515	235	4	has	have	AUX
ejpam-1515	235	5	introduced	introduce	VERB
ejpam-1515	235	6	two	two	NUM
ejpam-1515	235	7	novel	novel	ADJ
ejpam-1515	235	8	findings	finding	NOUN
ejpam-1515	235	9	:	:	PUNCT
ejpam-1515	235	10	1	1	X
ejpam-1515	235	11	.	.	X
ejpam-1515	235	12	the	the	DET
ejpam-1515	235	13	relationship	relationship	NOUN
ejpam-1515	235	14	between	between	ADP
ejpam-1515	235	15	the	the	DET
ejpam-1515	235	16	lax	lax	PROPN
ejpam-1515	235	17	operators	operator	NOUN
ejpam-1515	235	18	l	l	PROPN
ejpam-1515	235	19	and	and	CCONJ
ejpam-1515	235	20	any	any	DET
ejpam-1515	235	21	casimir	casimir	NOUN
ejpam-1515	235	22	invariant	invariant	PROPN
ejpam-1515	235	23	function	function	NOUN
ejpam-1515	235	24	c	c	NOUN
ejpam-1515	235	25	,	,	PUNCT
ejpam-1515	235	26	l	l	X
ejpam-1515	235	27	=	=	PUNCT
ejpam-1515	235	28	∇c	∇c	PROPN
ejpam-1515	235	29	2	2	NUM
ejpam-1515	235	30	.	.	PUNCT
ejpam-1515	236	1	the	the	DET
ejpam-1515	236	2	mapping	mapping	NOUN
ejpam-1515	236	3	−ck	−ck	INTJ
ejpam-1515	237	1	i	i	PRON
ejpam-1515	237	2	j	j	PROPN
ejpam-1515	237	3	pk	pk	PROPN
ejpam-1515	237	4	∂	∂	NUM
ejpam-1515	237	5	∂	∂	NUM
ejpam-1515	237	6	pi	pi	NOUN
ejpam-1515	237	7	=	=	SYM
ejpam-1515	237	8	e	e	PROPN
ejpam-1515	237	9	j	j	PROPN
ejpam-1515	237	10	which	which	PRON
ejpam-1515	237	11	applies	apply	VERB
ejpam-1515	237	12	to	to	PART
ejpam-1515	237	13	matrix	matrix	VERB
ejpam-1515	237	14	lie	lie	NOUN
ejpam-1515	237	15	algebras	algebra	NOUN
ejpam-1515	237	16	with	with	ADP
ejpam-1515	237	17	the	the	DET
ejpam-1515	237	18	lie	lie	NOUN
ejpam-1515	237	19	-	-	PUNCT
ejpam-1515	237	20	poisson	poisson	NOUN
ejpam-1515	237	21	structure	structure	NOUN
ejpam-1515	237	22	imposed	impose	VERB
ejpam-1515	237	23	7	7	NUM
ejpam-1515	237	24	.	.	PUNCT
ejpam-1515	237	25	conclusion	conclusion	NOUN
ejpam-1515	237	26	by	by	ADP
ejpam-1515	237	27	imposing	impose	VERB
ejpam-1515	237	28	the	the	DET
ejpam-1515	237	29	lie	lie	NOUN
ejpam-1515	237	30	-	-	PUNCT
ejpam-1515	237	31	poisson	poisson	NOUN
ejpam-1515	237	32	structure	structure	NOUN
ejpam-1515	237	33	(	(	PUNCT
ejpam-1515	237	34	if	if	SCONJ
ejpam-1515	237	35	it	it	PRON
ejpam-1515	237	36	does	do	AUX
ejpam-1515	237	37	not	not	PART
ejpam-1515	237	38	automatically	automatically	ADV
ejpam-1515	237	39	apply	apply	VERB
ejpam-1515	237	40	)	)	PUNCT
ejpam-1515	237	41	on	on	ADP
ejpam-1515	237	42	the	the	DET
ejpam-1515	237	43	matrix	matrix	NOUN
ejpam-1515	237	44	lie	lie	NOUN
ejpam-1515	237	45	algebras	algebra	NOUN
ejpam-1515	237	46	,	,	PUNCT
ejpam-1515	237	47	it	it	PRON
ejpam-1515	237	48	is	be	AUX
ejpam-1515	237	49	possible	possible	ADJ
ejpam-1515	237	50	to	to	PART
ejpam-1515	237	51	derive	derive	VERB
ejpam-1515	237	52	formula	formula	NOUN
ejpam-1515	237	53	for	for	ADP
ejpam-1515	237	54	several	several	ADJ
ejpam-1515	237	55	useful	useful	ADJ
ejpam-1515	237	56	functions	function	NOUN
ejpam-1515	237	57	and	and	CCONJ
ejpam-1515	237	58	operators	operator	NOUN
ejpam-1515	237	59	,	,	PUNCT
ejpam-1515	237	60	and	and	CCONJ
ejpam-1515	237	61	a	a	DET
ejpam-1515	237	62	mapping	mapping	NOUN
ejpam-1515	237	63	between	between	ADP
ejpam-1515	237	64	alternative	alternative	ADJ
ejpam-1515	237	65	bases	basis	NOUN
ejpam-1515	237	66	for	for	ADP
ejpam-1515	237	67	the	the	DET
ejpam-1515	237	68	lie	lie	NOUN
ejpam-1515	237	69	algebra	algebra	NOUN
ejpam-1515	237	70	.	.	PUNCT
ejpam-1515	238	1	this	this	DET
ejpam-1515	238	2	structure	structure	NOUN
ejpam-1515	238	3	is	be	AUX
ejpam-1515	238	4	automatic	automatic	ADJ
ejpam-1515	238	5	for	for	ADP
ejpam-1515	238	6	semisimple	semisimple	ADJ
ejpam-1515	238	7	groups	group	NOUN
ejpam-1515	238	8	,	,	PUNCT
ejpam-1515	238	9	but	but	CCONJ
ejpam-1515	238	10	needs	need	VERB
ejpam-1515	238	11	to	to	PART
ejpam-1515	238	12	be	be	AUX
ejpam-1515	238	13	imposed	impose	VERB
ejpam-1515	238	14	for	for	ADP
ejpam-1515	238	15	other	other	ADJ
ejpam-1515	238	16	groups	group	NOUN
ejpam-1515	238	17	.	.	PUNCT
ejpam-1515	239	1	the	the	DET
ejpam-1515	239	2	casimir	casimir	NOUN
ejpam-1515	239	3	functions	function	NOUN
ejpam-1515	239	4	are	be	AUX
ejpam-1515	239	5	invariant	invariant	ADJ
ejpam-1515	239	6	and	and	CCONJ
ejpam-1515	239	7	incorporate	incorporate	VERB
ejpam-1515	239	8	conservation	conservation	NOUN
ejpam-1515	239	9	laws	law	NOUN
ejpam-1515	239	10	(	(	PUNCT
ejpam-1515	239	11	such	such	ADJ
ejpam-1515	239	12	as	as	ADP
ejpam-1515	239	13	conservation	conservation	NOUN
ejpam-1515	239	14	of	of	ADP
ejpam-1515	239	15	momentum	momentum	NOUN
ejpam-1515	239	16	)	)	PUNCT
ejpam-1515	239	17	into	into	ADP
ejpam-1515	239	18	the	the	DET
ejpam-1515	239	19	system	system	NOUN
ejpam-1515	239	20	being	be	AUX
ejpam-1515	239	21	considered	consider	VERB
ejpam-1515	239	22	.	.	PUNCT
ejpam-1515	240	1	they	they	PRON
ejpam-1515	240	2	are	be	AUX
ejpam-1515	240	3	well	well	ADV
ejpam-1515	240	4	known	known	ADJ
ejpam-1515	240	5	for	for	ADP
ejpam-1515	240	6	the	the	DET
ejpam-1515	240	7	common	common	ADJ
ejpam-1515	240	8	algebras	algebra	NOUN
ejpam-1515	240	9	,	,	PUNCT
ejpam-1515	240	10	but	but	CCONJ
ejpam-1515	240	11	are	be	AUX
ejpam-1515	240	12	listed	list	VERB
ejpam-1515	240	13	in	in	ADP
ejpam-1515	240	14	the	the	DET
ejpam-1515	240	15	appendix	appendix	NOUN
ejpam-1515	240	16	for	for	ADP
ejpam-1515	240	17	reference	reference	NOUN
ejpam-1515	240	18	.	.	PUNCT
ejpam-1515	241	1	the	the	DET
ejpam-1515	241	2	differential	differential	ADJ
ejpam-1515	241	3	equations	equation	NOUN
ejpam-1515	241	4	of	of	ADP
ejpam-1515	241	5	motion	motion	NOUN
ejpam-1515	241	6	are	be	AUX
ejpam-1515	241	7	also	also	ADV
ejpam-1515	241	8	well	well	ADV
ejpam-1515	241	9	known	know	VERB
ejpam-1515	241	10	but	but	CCONJ
ejpam-1515	241	11	their	their	PRON
ejpam-1515	241	12	origin	origin	NOUN
ejpam-1515	241	13	from	from	ADP
ejpam-1515	241	14	the	the	DET
ejpam-1515	241	15	structure	structure	NOUN
ejpam-1515	241	16	constants	constant	NOUN
ejpam-1515	241	17	is	be	AUX
ejpam-1515	241	18	worth	worth	ADJ
ejpam-1515	241	19	repeating	repeat	VERB
ejpam-1515	241	20	,	,	PUNCT
ejpam-1515	241	21	especially	especially	ADV
ejpam-1515	241	22	for	for	ADP
ejpam-1515	241	23	se	se	X
ejpam-1515	241	24	(	(	PUNCT
ejpam-1515	241	25	3	3	NUM
ejpam-1515	241	26	)	)	PUNCT
ejpam-1515	241	27	with	with	ADP
ejpam-1515	241	28	the	the	DET
ejpam-1515	241	29	imposed	impose	VERB
ejpam-1515	241	30	structure	structure	NOUN
ejpam-1515	241	31	.	.	PUNCT
ejpam-1515	242	1	the	the	DET
ejpam-1515	242	2	simple	simple	ADJ
ejpam-1515	242	3	relationship	relationship	NOUN
ejpam-1515	242	4	between	between	ADP
ejpam-1515	242	5	any	any	DET
ejpam-1515	242	6	casimir	casimir	NOUN
ejpam-1515	242	7	operator	operator	NOUN
ejpam-1515	242	8	and	and	CCONJ
ejpam-1515	242	9	a	a	DET
ejpam-1515	242	10	lax	lax	ADJ
ejpam-1515	242	11	operator	operator	NOUN
ejpam-1515	242	12	is	be	AUX
ejpam-1515	242	13	novel	novel	ADJ
ejpam-1515	242	14	.	.	PUNCT
ejpam-1515	243	1	the	the	DET
ejpam-1515	243	2	methodology	methodology	NOUN
ejpam-1515	243	3	applies	apply	VERB
ejpam-1515	243	4	to	to	PART
ejpam-1515	243	5	finite	finite	VERB
ejpam-1515	243	6	dimensional	dimensional	ADJ
ejpam-1515	243	7	matrix	matrix	NOUN
ejpam-1515	243	8	lie	lie	NOUN
ejpam-1515	243	9	algebras	algebra	NOUN
ejpam-1515	243	10	with	with	ADP
ejpam-1515	243	11	an	an	DET
ejpam-1515	243	12	imposed	impose	VERB
ejpam-1515	243	13	lie	lie	NOUN
ejpam-1515	243	14	-	-	PUNCT
ejpam-1515	243	15	poisson	poisson	NOUN
ejpam-1515	243	16	structure	structure	NOUN
ejpam-1515	243	17	.	.	PUNCT
ejpam-1515	244	1	it	it	PRON
ejpam-1515	244	2	avoids	avoid	VERB
ejpam-1515	244	3	the	the	DET
ejpam-1515	244	4	complex	complex	ADJ
ejpam-1515	244	5	differential	differential	ADJ
ejpam-1515	244	6	geometry	geometry	NOUN
ejpam-1515	244	7	necessary	necessary	ADJ
ejpam-1515	244	8	for	for	ADP
ejpam-1515	244	9	the	the	DET
ejpam-1515	244	10	tangent	tangent	NOUN
ejpam-1515	244	11	and	and	CCONJ
ejpam-1515	244	12	cotangent	cotangent	NOUN
ejpam-1515	244	13	references	reference	NOUN
ejpam-1515	244	14	579	579	NUM
ejpam-1515	244	15	space	space	NOUN
ejpam-1515	244	16	(	(	PUNCT
ejpam-1515	244	17	by	by	ADP
ejpam-1515	244	18	restriction	restriction	NOUN
ejpam-1515	244	19	to	to	ADP
ejpam-1515	244	20	the	the	DET
ejpam-1515	244	21	origin	origin	NOUN
ejpam-1515	244	22	)	)	PUNCT
ejpam-1515	244	23	,	,	PUNCT
ejpam-1515	244	24	and	and	CCONJ
ejpam-1515	244	25	includes	include	VERB
ejpam-1515	244	26	algebras	algebra	NOUN
ejpam-1515	244	27	which	which	PRON
ejpam-1515	244	28	are	be	AUX
ejpam-1515	244	29	not	not	PART
ejpam-1515	244	30	semi	semi	ADJ
ejpam-1515	244	31	-	-	ADJ
ejpam-1515	244	32	simple	simple	ADJ
ejpam-1515	244	33	.	.	PUNCT
ejpam-1515	245	1	the	the	DET
ejpam-1515	245	2	lax	lax	ADJ
ejpam-1515	245	3	pair	pair	NOUN
ejpam-1515	245	4	is	be	AUX
ejpam-1515	245	5	an	an	DET
ejpam-1515	245	6	alternative	alternative	ADJ
ejpam-1515	245	7	method	method	NOUN
ejpam-1515	245	8	to	to	ADP
ejpam-1515	245	9	the	the	DET
ejpam-1515	245	10	casimir	casimir	NOUN
ejpam-1515	245	11	functions	function	NOUN
ejpam-1515	245	12	for	for	ADP
ejpam-1515	245	13	including	include	VERB
ejpam-1515	245	14	the	the	DET
ejpam-1515	245	15	conservation	conservation	NOUN
ejpam-1515	245	16	laws	law	NOUN
ejpam-1515	245	17	in	in	ADP
ejpam-1515	245	18	the	the	DET
ejpam-1515	245	19	mathematical	mathematical	ADJ
ejpam-1515	245	20	formulation	formulation	NOUN
ejpam-1515	245	21	of	of	ADP
ejpam-1515	245	22	the	the	DET
ejpam-1515	245	23	system	system	NOUN
ejpam-1515	245	24	,	,	PUNCT
ejpam-1515	245	25	and	and	CCONJ
ejpam-1515	245	26	for	for	ADP
ejpam-1515	245	27	evaluating	evaluate	VERB
ejpam-1515	245	28	trajectories	trajectory	NOUN
ejpam-1515	245	29	on	on	ADP
ejpam-1515	245	30	lie	lie	NOUN
ejpam-1515	245	31	groups	group	NOUN
ejpam-1515	245	32	.	.	PUNCT
ejpam-1515	246	1	finally	finally	ADV
ejpam-1515	246	2	,	,	PUNCT
ejpam-1515	246	3	a	a	DET
ejpam-1515	246	4	mapping	mapping	NOUN
ejpam-1515	246	5	between	between	ADP
ejpam-1515	246	6	the	the	DET
ejpam-1515	246	7	alternative	alternative	ADJ
ejpam-1515	246	8	bases	basis	NOUN
ejpam-1515	246	9	for	for	ADP
ejpam-1515	246	10	the	the	DET
ejpam-1515	246	11	lie	lie	NOUN
ejpam-1515	246	12	algebra	algebra	NOUN
ejpam-1515	246	13	was	be	AUX
ejpam-1515	246	14	found	find	VERB
ejpam-1515	246	15	.	.	PUNCT
ejpam-1515	247	1	references	reference	NOUN
ejpam-1515	247	2	[	[	X
ejpam-1515	247	3	1	1	NUM
ejpam-1515	247	4	]	]	X
ejpam-1515	247	5	n.	n.	NOUN
ejpam-1515	247	6	abazari	abazari	NOUN
ejpam-1515	247	7	and	and	CCONJ
ejpam-1515	247	8	i.	i.	PROPN
ejpam-1515	247	9	sager	sager	PROPN
ejpam-1515	247	10	.	.	PUNCT
ejpam-1515	248	1	planning	plan	VERB
ejpam-1515	248	2	rigid	rigid	ADJ
ejpam-1515	248	3	body	body	NOUN
ejpam-1515	248	4	motions	motion	NOUN
ejpam-1515	248	5	and	and	CCONJ
ejpam-1515	248	6	optimal	optimal	ADJ
ejpam-1515	248	7	control	control	NOUN
ejpam-1515	248	8	problem	problem	NOUN
ejpam-1515	248	9	on	on	ADP
ejpam-1515	248	10	lie	lie	PROPN
ejpam-1515	248	11	group	group	PROPN
ejpam-1515	248	12	so(2,1	so(2,1	PROPN
ejpam-1515	248	13	)	)	PUNCT
ejpam-1515	248	14	.	.	PUNCT
ejpam-1515	249	1	engineering	engineering	NOUN
ejpam-1515	249	2	and	and	CCONJ
ejpam-1515	249	3	technology	technology	NOUN
ejpam-1515	249	4	,	,	PUNCT
ejpam-1515	249	5	64:448–452	64:448–452	NOUN
ejpam-1515	249	6	,	,	PUNCT
ejpam-1515	249	7	2010	2010	NUM
ejpam-1515	249	8	.	.	PUNCT
ejpam-1515	250	1	[	[	X
ejpam-1515	250	2	2	2	NUM
ejpam-1515	250	3	]	]	X
ejpam-1515	250	4	j.d	j.d	PROPN
ejpam-1515	250	5	.	.	PROPN
ejpam-1515	250	6	biggs	biggs	PROPN
ejpam-1515	250	7	and	and	CCONJ
ejpam-1515	250	8	w.	w.	PROPN
ejpam-1515	250	9	holderbaum	holderbaum	PROPN
ejpam-1515	250	10	.	.	PUNCT
ejpam-1515	251	1	the	the	DET
ejpam-1515	251	2	geometry	geometry	NOUN
ejpam-1515	251	3	of	of	ADP
ejpam-1515	251	4	optimal	optimal	ADJ
ejpam-1515	251	5	control	control	NOUN
ejpam-1515	251	6	solutions	solution	NOUN
ejpam-1515	251	7	on	on	ADP
ejpam-1515	251	8	some	some	DET
ejpam-1515	251	9	six	six	NUM
ejpam-1515	251	10	dimensional	dimensional	ADJ
ejpam-1515	251	11	lie	lie	NOUN
ejpam-1515	251	12	groups	group	NOUN
ejpam-1515	251	13	.	.	PUNCT
ejpam-1515	252	1	proceedings	proceeding	NOUN
ejpam-1515	252	2	of	of	ADP
ejpam-1515	252	3	the	the	DET
ejpam-1515	252	4	44th	44th	ADJ
ejpam-1515	252	5	ieee	ieee	NOUN
ejpam-1515	252	6	conference	conference	NOUN
ejpam-1515	252	7	on	on	ADP
ejpam-1515	252	8	decision	decision	NOUN
ejpam-1515	252	9	and	and	CCONJ
ejpam-1515	252	10	control	control	NOUN
ejpam-1515	252	11	,	,	PUNCT
ejpam-1515	252	12	(	(	PUNCT
ejpam-1515	252	13	2):1427–1432	2):1427–1432	NOUN
ejpam-1515	252	14	,	,	PUNCT
ejpam-1515	252	15	2005	2005	NUM
ejpam-1515	252	16	.	.	PUNCT
ejpam-1515	253	1	[	[	X
ejpam-1515	253	2	3	3	NUM
ejpam-1515	253	3	]	]	X
ejpam-1515	253	4	j.d	j.d	PROPN
ejpam-1515	253	5	.	.	PROPN
ejpam-1515	253	6	biggs	biggs	PROPN
ejpam-1515	253	7	and	and	CCONJ
ejpam-1515	253	8	n.	n.	PROPN
ejpam-1515	253	9	horri	horri	PROPN
ejpam-1515	253	10	.	.	PUNCT
ejpam-1515	254	1	optimal	optimal	ADJ
ejpam-1515	254	2	geometric	geometric	ADJ
ejpam-1515	254	3	motion	motion	NOUN
ejpam-1515	254	4	planning	planning	NOUN
ejpam-1515	254	5	for	for	ADP
ejpam-1515	254	6	spin	spin	NOUN
ejpam-1515	254	7	-	-	PUNCT
ejpam-1515	254	8	stabilized	stabilize	VERB
ejpam-1515	254	9	spacecraft	spacecraft	NOUN
ejpam-1515	254	10	.	.	PUNCT
ejpam-1515	255	1	system	system	NOUN
ejpam-1515	255	2	and	and	CCONJ
ejpam-1515	255	3	control	control	NOUN
ejpam-1515	255	4	letters	letter	NOUN
ejpam-1515	255	5	,	,	PUNCT
ejpam-1515	255	6	2012	2012	NUM
ejpam-1515	255	7	.	.	PUNCT
ejpam-1515	256	1	[	[	X
ejpam-1515	256	2	4	4	NUM
ejpam-1515	256	3	]	]	PUNCT
ejpam-1515	256	4	a.m.	a.m.	PROPN
ejpam-1515	256	5	bloch	bloch	PROPN
ejpam-1515	256	6	.	.	PUNCT
ejpam-1515	257	1	nonholonomic	nonholonomic	ADJ
ejpam-1515	257	2	mechanics	mechanic	NOUN
ejpam-1515	257	3	and	and	CCONJ
ejpam-1515	257	4	control	control	NOUN
ejpam-1515	257	5	:	:	PUNCT
ejpam-1515	257	6	with	with	ADP
ejpam-1515	257	7	the	the	DET
ejpam-1515	257	8	collaboration	collaboration	NOUN
ejpam-1515	257	9	of	of	ADP
ejpam-1515	257	10	j.baillieul	j.baillieul	ADJ
ejpam-1515	257	11	,	,	PUNCT
ejpam-1515	257	12	p.crouch	p.crouch	ADJ
ejpam-1515	257	13	and	and	CCONJ
ejpam-1515	257	14	j.marsden	j.marsden	ADJ
ejpam-1515	257	15	(	(	PUNCT
ejpam-1515	257	16	interdisciplinary	interdisciplinary	ADJ
ejpam-1515	257	17	applied	apply	VERB
ejpam-1515	257	18	mathematics	mathematic	NOUN
ejpam-1515	257	19	)	)	PUNCT
ejpam-1515	257	20	.	.	PUNCT
ejpam-1515	258	1	springer	springer	NOUN
ejpam-1515	258	2	,	,	PUNCT
ejpam-1515	258	3	2003	2003	NUM
ejpam-1515	258	4	.	.	PUNCT
ejpam-1515	259	1	[	[	X
ejpam-1515	259	2	5	5	X
ejpam-1515	259	3	]	]	PUNCT
ejpam-1515	259	4	f.	f.	PROPN
ejpam-1515	259	5	bullo	bullo	PROPN
ejpam-1515	259	6	and	and	CCONJ
ejpam-1515	259	7	a.d	a.d	PROPN
ejpam-1515	259	8	.	.	PROPN
ejpam-1515	259	9	lewis	lewis	PROPN
ejpam-1515	259	10	.	.	PUNCT
ejpam-1515	260	1	geometric	geometric	ADJ
ejpam-1515	260	2	control	control	NOUN
ejpam-1515	260	3	of	of	ADP
ejpam-1515	260	4	mechanical	mechanical	ADJ
ejpam-1515	260	5	systems	system	NOUN
ejpam-1515	260	6	:	:	PUNCT
ejpam-1515	260	7	modeling	modeling	NOUN
ejpam-1515	260	8	,	,	PUNCT
ejpam-1515	260	9	analysis	analysis	NOUN
ejpam-1515	260	10	,	,	PUNCT
ejpam-1515	260	11	and	and	CCONJ
ejpam-1515	260	12	design	design	NOUN
ejpam-1515	260	13	for	for	ADP
ejpam-1515	260	14	simple	simple	ADJ
ejpam-1515	260	15	mechanical	mechanical	ADJ
ejpam-1515	260	16	control	control	NOUN
ejpam-1515	260	17	systems	system	NOUN
ejpam-1515	260	18	(	(	PUNCT
ejpam-1515	260	19	texts	text	NOUN
ejpam-1515	260	20	in	in	ADP
ejpam-1515	260	21	applied	apply	VERB
ejpam-1515	260	22	mathematics	mathematic	NOUN
ejpam-1515	260	23	)	)	PUNCT
ejpam-1515	260	24	.	.	PUNCT
ejpam-1515	261	1	springer	springer	NOUN
ejpam-1515	261	2	,	,	PUNCT
ejpam-1515	261	3	2005	2005	NUM
ejpam-1515	261	4	.	.	PUNCT
ejpam-1515	262	1	[	[	X
ejpam-1515	262	2	6	6	NUM
ejpam-1515	262	3	]	]	PUNCT
ejpam-1515	262	4	m.	m.	NOUN
ejpam-1515	262	5	craioveanu	craioveanu	PROPN
ejpam-1515	262	6	,	,	PUNCT
ejpam-1515	262	7	c.	c.	PROPN
ejpam-1515	262	8	pop	pop	PROPN
ejpam-1515	262	9	,	,	PUNCT
ejpam-1515	262	10	a.	a.	PROPN
ejpam-1515	262	11	aron	aron	PROPN
ejpam-1515	262	12	,	,	PUNCT
ejpam-1515	262	13	and	and	CCONJ
ejpam-1515	262	14	c.	c.	PROPN
ejpam-1515	262	15	petri	petri	PROPN
ejpam-1515	262	16	.	.	PUNCT
ejpam-1515	263	1	an	an	DET
ejpam-1515	263	2	optimal	optimal	ADJ
ejpam-1515	263	3	control	control	NOUN
ejpam-1515	263	4	problem	problem	NOUN
ejpam-1515	263	5	on	on	ADP
ejpam-1515	263	6	the	the	DET
ejpam-1515	263	7	special	special	ADJ
ejpam-1515	263	8	euclidean	euclidean	ADJ
ejpam-1515	263	9	group	group	NOUN
ejpam-1515	263	10	se	se	X
ejpam-1515	263	11	(	(	PUNCT
ejpam-1515	263	12	3	3	NUM
ejpam-1515	263	13	,	,	PUNCT
ejpam-1515	263	14	r	r	NOUN
ejpam-1515	263	15	)	)	PUNCT
ejpam-1515	263	16	.	.	PUNCT
ejpam-1515	264	1	in	in	ADP
ejpam-1515	264	2	international	international	ADJ
ejpam-1515	264	3	conference	conference	NOUN
ejpam-1515	264	4	"	"	PUNCT
ejpam-1515	264	5	differential	differential	ADJ
ejpam-1515	264	6	geometrydynamical	geometrydynamical	ADJ
ejpam-1515	264	7	systems	system	NOUN
ejpam-1515	264	8	2009	2009	NUM
ejpam-1515	264	9	"	"	PUNCT
ejpam-1515	264	10	,	,	PUNCT
ejpam-1515	264	11	pages	page	NOUN
ejpam-1515	264	12	68–78	68–78	NUM
ejpam-1515	264	13	,	,	PUNCT
ejpam-1515	264	14	2009	2009	NUM
ejpam-1515	264	15	.	.	PUNCT
ejpam-1515	265	1	[	[	X
ejpam-1515	265	2	7	7	X
ejpam-1515	265	3	]	]	X
ejpam-1515	265	4	d.	d.	PROPN
ejpam-1515	265	5	d’alessandro	d’alessandro	PROPN
ejpam-1515	265	6	.	.	PUNCT
ejpam-1515	266	1	algorithms	algorithm	NOUN
ejpam-1515	266	2	for	for	ADP
ejpam-1515	266	3	quantum	quantum	NOUN
ejpam-1515	266	4	control	control	NOUN
ejpam-1515	266	5	based	base	VERB
ejpam-1515	266	6	on	on	ADP
ejpam-1515	266	7	decompositions	decomposition	NOUN
ejpam-1515	266	8	of	of	ADP
ejpam-1515	266	9	lie	lie	NOUN
ejpam-1515	266	10	groups	group	NOUN
ejpam-1515	266	11	.	.	PUNCT
ejpam-1515	267	1	proceedings	proceeding	NOUN
ejpam-1515	267	2	of	of	ADP
ejpam-1515	267	3	the	the	DET
ejpam-1515	267	4	39th	39th	ADJ
ejpam-1515	267	5	ieee	ieee	NOUN
ejpam-1515	267	6	conference	conference	NOUN
ejpam-1515	267	7	on	on	ADP
ejpam-1515	267	8	decision	decision	NOUN
ejpam-1515	267	9	and	and	CCONJ
ejpam-1515	267	10	control	control	NOUN
ejpam-1515	267	11	(	(	PUNCT
ejpam-1515	267	12	cat	cat	NOUN
ejpam-1515	267	13	.	.	PUNCT
ejpam-1515	268	1	no.00ch37187	no.00ch37187	PROPN
ejpam-1515	268	2	)	)	PUNCT
ejpam-1515	268	3	,	,	PUNCT
ejpam-1515	268	4	pages	page	VERB
ejpam-1515	268	5	967–968	967–968	NUM
ejpam-1515	268	6	,	,	PUNCT
ejpam-1515	268	7	2000	2000	NUM
ejpam-1515	268	8	.	.	PUNCT
ejpam-1515	269	1	[	[	X
ejpam-1515	269	2	8	8	NUM
ejpam-1515	269	3	]	]	X
ejpam-1515	269	4	b.	b.	PROPN
ejpam-1515	269	5	hall	hall	PROPN
ejpam-1515	269	6	.	.	PUNCT
ejpam-1515	270	1	lie	lie	NOUN
ejpam-1515	270	2	groups	group	NOUN
ejpam-1515	270	3	,	,	PUNCT
ejpam-1515	270	4	lie	lie	NOUN
ejpam-1515	270	5	algebras	algebra	NOUN
ejpam-1515	270	6	,	,	PUNCT
ejpam-1515	270	7	and	and	CCONJ
ejpam-1515	270	8	representations	representation	VERB
ejpam-1515	270	9	:	:	PUNCT
ejpam-1515	270	10	an	an	DET
ejpam-1515	270	11	elementary	elementary	ADJ
ejpam-1515	270	12	introduction	introduction	NOUN
ejpam-1515	270	13	(	(	PUNCT
ejpam-1515	270	14	graduate	graduate	NOUN
ejpam-1515	270	15	texts	text	NOUN
ejpam-1515	270	16	in	in	ADP
ejpam-1515	270	17	mathematics	mathematic	NOUN
ejpam-1515	270	18	)	)	PUNCT
ejpam-1515	270	19	.	.	PUNCT
ejpam-1515	271	1	springer	springer	NOUN
ejpam-1515	271	2	,	,	PUNCT
ejpam-1515	271	3	2004	2004	NUM
ejpam-1515	271	4	.	.	PUNCT
ejpam-1515	272	1	[	[	X
ejpam-1515	272	2	9	9	NUM
ejpam-1515	272	3	]	]	X
ejpam-1515	272	4	d.d	d.d	PROPN
ejpam-1515	272	5	.	.	PROPN
ejpam-1515	272	6	holm	holm	PROPN
ejpam-1515	272	7	.	.	PUNCT
ejpam-1515	273	1	geometric	geometric	ADJ
ejpam-1515	273	2	mechanics	mechanic	NOUN
ejpam-1515	273	3	,	,	PUNCT
ejpam-1515	273	4	part	part	NOUN
ejpam-1515	273	5	i	i	NOUN
ejpam-1515	273	6	:	:	PUNCT
ejpam-1515	273	7	dynamics	dynamic	NOUN
ejpam-1515	273	8	and	and	CCONJ
ejpam-1515	273	9	symmetry	symmetry	NOUN
ejpam-1515	273	10	.	.	PUNCT
ejpam-1515	274	1	imperial	imperial	ADJ
ejpam-1515	274	2	college	college	PROPN
ejpam-1515	274	3	press	press	NOUN
ejpam-1515	274	4	,	,	PUNCT
ejpam-1515	274	5	2008	2008	NUM
ejpam-1515	274	6	.	.	PUNCT
ejpam-1515	275	1	[	[	X
ejpam-1515	275	2	10	10	NUM
ejpam-1515	275	3	]	]	X
ejpam-1515	275	4	v.	v.	CCONJ
ejpam-1515	275	5	jurdjevic	jurdjevic	PROPN
ejpam-1515	275	6	.	.	PUNCT
ejpam-1515	276	1	geometric	geometric	ADJ
ejpam-1515	276	2	control	control	PROPN
ejpam-1515	276	3	theory	theory	NOUN
ejpam-1515	276	4	(	(	PUNCT
ejpam-1515	276	5	cambridge	cambridge	PROPN
ejpam-1515	276	6	studies	study	NOUN
ejpam-1515	276	7	in	in	ADP
ejpam-1515	276	8	advanced	advanced	ADJ
ejpam-1515	276	9	mathematics	mathematic	NOUN
ejpam-1515	276	10	)	)	PUNCT
ejpam-1515	276	11	.	.	PUNCT
ejpam-1515	277	1	cambridge	cambridge	PROPN
ejpam-1515	277	2	university	university	PROPN
ejpam-1515	277	3	press	press	NOUN
ejpam-1515	277	4	,	,	PUNCT
ejpam-1515	277	5	1997	1997	NUM
ejpam-1515	277	6	.	.	PUNCT
ejpam-1515	278	1	[	[	X
ejpam-1515	278	2	11	11	NUM
ejpam-1515	278	3	]	]	PUNCT
ejpam-1515	278	4	v.	v.	CCONJ
ejpam-1515	278	5	jurdjevic	jurdjevic	PROPN
ejpam-1515	278	6	.	.	PUNCT
ejpam-1515	279	1	integrable	integrable	ADJ
ejpam-1515	279	2	hamiltonian	hamiltonian	ADJ
ejpam-1515	279	3	systems	system	NOUN
ejpam-1515	279	4	on	on	ADP
ejpam-1515	279	5	complex	complex	ADJ
ejpam-1515	279	6	lie	lie	NOUN
ejpam-1515	279	7	groups	group	NOUN
ejpam-1515	279	8	.	.	PUNCT
ejpam-1515	280	1	memoirs	memoir	NOUN
ejpam-1515	280	2	of	of	ADP
ejpam-1515	280	3	the	the	DET
ejpam-1515	280	4	american	american	PROPN
ejpam-1515	280	5	mathematical	mathematical	PROPN
ejpam-1515	280	6	society	society	NOUN
ejpam-1515	280	7	,	,	PUNCT
ejpam-1515	280	8	178(838	178(838	NUM
ejpam-1515	280	9	)	)	PUNCT
ejpam-1515	280	10	,	,	PUNCT
ejpam-1515	280	11	2005	2005	NUM
ejpam-1515	280	12	.	.	PUNCT
ejpam-1515	281	1	[	[	X
ejpam-1515	281	2	12	12	NUM
ejpam-1515	281	3	]	]	X
ejpam-1515	281	4	e.w	e.w	PROPN
ejpam-1515	281	5	.	.	PROPN
ejpam-1515	281	6	justh	justh	PROPN
ejpam-1515	281	7	and	and	CCONJ
ejpam-1515	281	8	p.s	p.s	PROPN
ejpam-1515	281	9	.	.	PROPN
ejpam-1515	281	10	krishnaprasad	krishnaprasad	PROPN
ejpam-1515	281	11	.	.	PUNCT
ejpam-1515	282	1	optimal	optimal	ADJ
ejpam-1515	282	2	natural	natural	ADJ
ejpam-1515	282	3	frames	frame	NOUN
ejpam-1515	282	4	.	.	PUNCT
ejpam-1515	283	1	communications	communication	NOUN
ejpam-1515	283	2	in	in	ADP
ejpam-1515	283	3	information	information	NOUN
ejpam-1515	283	4	and	and	CCONJ
ejpam-1515	283	5	systems	system	NOUN
ejpam-1515	283	6	,	,	PUNCT
ejpam-1515	283	7	11(1):17–34	11(1):17–34	NUM
ejpam-1515	283	8	,	,	PUNCT
ejpam-1515	283	9	2011	2011	NUM
ejpam-1515	283	10	.	.	PUNCT
ejpam-1515	284	1	references	reference	NOUN
ejpam-1515	284	2	580	580	NUM
ejpam-1515	284	3	[	[	SYM
ejpam-1515	284	4	13	13	NUM
ejpam-1515	284	5	]	]	X
ejpam-1515	284	6	p.d	p.d	PROPN
ejpam-1515	284	7	.	.	PROPN
ejpam-1515	284	8	lax	lax	PROPN
ejpam-1515	284	9	.	.	PUNCT
ejpam-1515	285	1	integrals	integral	NOUN
ejpam-1515	285	2	of	of	ADP
ejpam-1515	285	3	nonlinear	nonlinear	ADJ
ejpam-1515	285	4	equations	equation	NOUN
ejpam-1515	285	5	of	of	ADP
ejpam-1515	285	6	evolution	evolution	NOUN
ejpam-1515	285	7	and	and	CCONJ
ejpam-1515	285	8	solitary	solitary	ADJ
ejpam-1515	285	9	.	.	PUNCT
ejpam-1515	286	1	technical	technical	ADJ
ejpam-1515	286	2	report	report	PROPN
ejpam-1515	286	3	january	january	PROPN
ejpam-1515	286	4	,	,	PUNCT
ejpam-1515	286	5	courant	courant	PROPN
ejpam-1515	286	6	institute	institute	PROPN
ejpam-1515	286	7	of	of	ADP
ejpam-1515	286	8	mathematical	mathematical	PROPN
ejpam-1515	286	9	sciences	sciences	PROPN
ejpam-1515	286	10	,	,	PUNCT
ejpam-1515	286	11	1968	1968	NUM
ejpam-1515	286	12	.	.	PUNCT
ejpam-1515	287	1	[	[	X
ejpam-1515	287	2	14	14	NUM
ejpam-1515	287	3	]	]	X
ejpam-1515	287	4	n.	n.	PROPN
ejpam-1515	287	5	e.	e.	PROPN
ejpam-1515	287	6	leonard	leonard	PROPN
ejpam-1515	287	7	and	and	CCONJ
ejpam-1515	287	8	p.s	p.s	PROPN
ejpam-1515	287	9	.	.	PROPN
ejpam-1515	287	10	krishnaprasad	krishnaprasad	PROPN
ejpam-1515	287	11	.	.	PUNCT
ejpam-1515	288	1	high	high	ADJ
ejpam-1515	288	2	order	order	NOUN
ejpam-1515	288	3	averaging	average	VERB
ejpam-1515	288	4	onlie	onlie	NOUN
ejpam-1515	288	5	groups	group	NOUN
ejpam-1515	288	6	and	and	CCONJ
ejpam-1515	288	7	control	control	NOUN
ejpam-1515	288	8	of	of	ADP
ejpam-1515	288	9	an	an	DET
ejpam-1515	288	10	autononmous	autononmous	ADJ
ejpam-1515	288	11	underwater	underwater	ADJ
ejpam-1515	288	12	vehicle	vehicle	NOUN
ejpam-1515	288	13	.	.	PUNCT
ejpam-1515	289	1	proceedings	proceeding	NOUN
ejpam-1515	289	2	of	of	ADP
ejpam-1515	289	3	the	the	DET
ejpam-1515	289	4	american	american	PROPN
ejpam-1515	289	5	control	control	PROPN
ejpam-1515	289	6	conference	conference	PROPN
ejpam-1515	289	7	,	,	PUNCT
ejpam-1515	289	8	june(1):2–7	june(1):2–7	NOUN
ejpam-1515	289	9	,	,	PUNCT
ejpam-1515	289	10	1994	1994	NUM
ejpam-1515	289	11	.	.	PUNCT
ejpam-1515	290	1	[	[	X
ejpam-1515	290	2	15	15	NUM
ejpam-1515	290	3	]	]	X
ejpam-1515	290	4	j.e	j.e	PROPN
ejpam-1515	290	5	.	.	PROPN
ejpam-1515	290	6	marsden	marsden	PROPN
ejpam-1515	290	7	,	,	PUNCT
ejpam-1515	290	8	s.t	s.t	PROPN
ejpam-1515	290	9	.	.	PROPN
ejpam-1515	290	10	ratiu	ratiu	PROPN
ejpam-1515	290	11	,	,	PUNCT
ejpam-1515	290	12	f.	f.	PROPN
ejpam-1515	290	13	scheck	scheck	PROPN
ejpam-1515	290	14	,	,	PUNCT
ejpam-1515	290	15	and	and	CCONJ
ejpam-1515	290	16	m.e	m.e	PROPN
ejpam-1515	290	17	.	.	PROPN
ejpam-1515	290	18	mayer	mayer	PROPN
ejpam-1515	290	19	.	.	PUNCT
ejpam-1515	291	1	introduction	introduction	NOUN
ejpam-1515	291	2	to	to	ADP
ejpam-1515	291	3	mechanics	mechanic	NOUN
ejpam-1515	291	4	and	and	CCONJ
ejpam-1515	291	5	symmetry	symmetry	NOUN
ejpam-1515	291	6	and	and	CCONJ
ejpam-1515	291	7	mechanics	mechanic	NOUN
ejpam-1515	291	8	:	:	PUNCT
ejpam-1515	291	9	from	from	ADP
ejpam-1515	291	10	newton	newton	PROPN
ejpam-1515	291	11	’s	’s	PART
ejpam-1515	291	12	laws	law	NOUN
ejpam-1515	291	13	to	to	ADP
ejpam-1515	291	14	deterministic	deterministic	ADJ
ejpam-1515	291	15	chaos	chaos	NOUN
ejpam-1515	291	16	.	.	PUNCT
ejpam-1515	292	1	american	american	PROPN
ejpam-1515	292	2	institute	institute	PROPN
ejpam-1515	292	3	of	of	ADP
ejpam-1515	292	4	physics	physics	PROPN
ejpam-1515	292	5	,	,	PUNCT
ejpam-1515	292	6	1998	1998	NUM
ejpam-1515	292	7	.	.	PUNCT
ejpam-1515	293	1	[	[	X
ejpam-1515	293	2	16	16	NUM
ejpam-1515	293	3	]	]	X
ejpam-1515	293	4	c.c	c.c	PROPN
ejpam-1515	293	5	.	.	PROPN
ejpam-1515	293	6	remsing	remsing	NOUN
ejpam-1515	293	7	.	.	PUNCT
ejpam-1515	294	1	control	control	NOUN
ejpam-1515	294	2	and	and	CCONJ
ejpam-1515	294	3	integrability	integrability	NOUN
ejpam-1515	294	4	on	on	ADP
ejpam-1515	294	5	so	so	ADV
ejpam-1515	294	6	(	(	PUNCT
ejpam-1515	294	7	3	3	NUM
ejpam-1515	294	8	)	)	PUNCT
ejpam-1515	294	9	.	.	PUNCT
ejpam-1515	295	1	in	in	ADP
ejpam-1515	295	2	world	world	PROPN
ejpam-1515	295	3	congress	congress	PROPN
ejpam-1515	295	4	on	on	ADP
ejpam-1515	295	5	engineering	engineering	NOUN
ejpam-1515	295	6	,	,	PUNCT
ejpam-1515	295	7	volume	volume	NOUN
ejpam-1515	295	8	iii	iii	PROPN
ejpam-1515	295	9	,	,	PUNCT
ejpam-1515	295	10	2010	2010	NUM
ejpam-1515	295	11	.	.	PUNCT
ejpam-1515	296	1	[	[	X
ejpam-1515	296	2	17	17	NUM
ejpam-1515	296	3	]	]	X
ejpam-1515	296	4	a.g	a.g	PROPN
ejpam-1515	296	5	.	.	PROPN
ejpam-1515	296	6	reyman	reyman	PROPN
ejpam-1515	296	7	and	and	CCONJ
ejpam-1515	296	8	m.a	m.a	PROPN
ejpam-1515	296	9	.	.	PROPN
ejpam-1515	296	10	semenov	semenov	PROPN
ejpam-1515	296	11	-	-	PUNCT
ejpam-1515	296	12	tian	tian	ADJ
ejpam-1515	296	13	-	-	PUNCT
ejpam-1515	296	14	shansky	shansky	NOUN
ejpam-1515	296	15	.	.	PUNCT
ejpam-1515	297	1	reduction	reduction	NOUN
ejpam-1515	297	2	of	of	ADP
ejpam-1515	297	3	hamiltonian	hamiltonian	ADJ
ejpam-1515	297	4	systems	system	NOUN
ejpam-1515	297	5	,	,	PUNCT
ejpam-1515	297	6	affine	affine	NOUN
ejpam-1515	297	7	lie	lie	VERB
ejpam-1515	297	8	algebras	algebra	NOUN
ejpam-1515	297	9	and	and	CCONJ
ejpam-1515	297	10	lax	lax	ADJ
ejpam-1515	297	11	equations	equation	NOUN
ejpam-1515	297	12	.	.	PUNCT
ejpam-1515	298	1	inventiones	inventione	NOUN
ejpam-1515	298	2	mathematicae	mathematicae	PROPN
ejpam-1515	298	3	,	,	PUNCT
ejpam-1515	298	4	54(1):81–100	54(1):81–100	NUM
ejpam-1515	298	5	,	,	PUNCT
ejpam-1515	298	6	february	february	PROPN
ejpam-1515	298	7	1979	1979	NUM
ejpam-1515	298	8	.	.	PUNCT
ejpam-1515	299	1	[	[	X
ejpam-1515	299	2	18	18	NUM
ejpam-1515	299	3	]	]	X
ejpam-1515	299	4	a.g	a.g	PROPN
ejpam-1515	299	5	.	.	PROPN
ejpam-1515	299	6	reyman	reyman	PROPN
ejpam-1515	299	7	and	and	CCONJ
ejpam-1515	299	8	m.a	m.a	PROPN
ejpam-1515	299	9	.	.	PROPN
ejpam-1515	299	10	semenov	semenov	PROPN
ejpam-1515	299	11	-	-	PUNCT
ejpam-1515	299	12	tian	tian	ADJ
ejpam-1515	299	13	-	-	PUNCT
ejpam-1515	299	14	shansky	shansky	NOUN
ejpam-1515	299	15	.	.	PUNCT
ejpam-1515	300	1	integrable	integrable	PROPN
ejpam-1515	300	2	systems	systems	PROPN
ejpam-1515	300	3	ii	ii	PROPN
ejpam-1515	300	4	:	:	PUNCT
ejpam-1515	300	5	group	group	NOUN
ejpam-1515	300	6	-	-	PUNCT
ejpam-1515	300	7	theoretical	theoretical	ADJ
ejpam-1515	300	8	methods	method	NOUN
ejpam-1515	300	9	in	in	ADP
ejpam-1515	300	10	the	the	DET
ejpam-1515	300	11	theory	theory	NOUN
ejpam-1515	300	12	of	of	ADP
ejpam-1515	300	13	finite	finite	ADJ
ejpam-1515	300	14	-	-	ADJ
ejpam-1515	300	15	dimensional	dimensional	ADJ
ejpam-1515	300	16	integrable	integrable	ADJ
ejpam-1515	300	17	systems	system	NOUN
ejpam-1515	300	18	.	.	PUNCT
ejpam-1515	301	1	in	in	ADP
ejpam-1515	301	2	dynamical	dynamical	ADJ
ejpam-1515	301	3	systems	system	NOUN
ejpam-1515	301	4	.	.	PUNCT
ejpam-1515	302	1	vii	vii	PROPN
ejpam-1515	302	2	,	,	PUNCT
ejpam-1515	302	3	encyclopaedia	encyclopaedia	PROPN
ejpam-1515	302	4	of	of	ADP
ejpam-1515	302	5	mathematical	mathematical	ADJ
ejpam-1515	302	6	sciences	science	NOUN
ejpam-1515	302	7	,	,	PUNCT
ejpam-1515	302	8	vol	vol	NOUN
ejpam-1515	302	9	.	.	PROPN
ejpam-1515	302	10	16	16	NUM
ejpam-1515	302	11	,	,	PUNCT
ejpam-1515	302	12	volume	volume	NOUN
ejpam-1515	302	13	1	1	NUM
ejpam-1515	302	14	,	,	PUNCT
ejpam-1515	302	15	page	page	NOUN
ejpam-1515	302	16	341	341	NUM
ejpam-1515	302	17	.	.	PUNCT
ejpam-1515	302	18	springer	springer	NOUN
ejpam-1515	302	19	,	,	PUNCT
ejpam-1515	302	20	1994	1994	NUM
ejpam-1515	302	21	.	.	PUNCT
ejpam-1515	303	1	[	[	X
ejpam-1515	303	2	19	19	NUM
ejpam-1515	303	3	]	]	X
ejpam-1515	303	4	o.k	o.k	PROPN
ejpam-1515	303	5	.	.	PROPN
ejpam-1515	303	6	sheinman	sheinman	PROPN
ejpam-1515	303	7	.	.	PUNCT
ejpam-1515	304	1	lax	lax	ADJ
ejpam-1515	304	2	equations	equation	NOUN
ejpam-1515	304	3	and	and	CCONJ
ejpam-1515	304	4	knizhnik	knizhnik	PROPN
ejpam-1515	304	5	-	-	PUNCT
ejpam-1515	304	6	zamolodchikov	zamolodchikov	PROPN
ejpam-1515	304	7	connection	connection	NOUN
ejpam-1515	304	8	.	.	PUNCT
ejpam-1515	305	1	aixiv.1009.4706v2	aixiv.1009.4706v2	NUM
ejpam-1515	305	2	,	,	PUNCT
ejpam-1515	305	3	pages	page	NOUN
ejpam-1515	305	4	1–21	1–21	PROPN
ejpam-1515	305	5	,	,	PUNCT
ejpam-1515	305	6	2011	2011	NUM
ejpam-1515	305	7	.	.	PUNCT
ejpam-1515	306	1	appendix	appendix	VERB
ejpam-1515	306	2	a.	a.	NOUN
ejpam-1515	306	3	basis	basis	NOUN
ejpam-1515	306	4	,	,	PUNCT
ejpam-1515	306	5	structure	structure	NOUN
ejpam-1515	306	6	constants	constant	NOUN
ejpam-1515	306	7	,	,	PUNCT
ejpam-1515	306	8	casimir	casimir	NOUN
ejpam-1515	306	9	functions	function	NOUN
ejpam-1515	306	10	this	this	DET
ejpam-1515	306	11	appendix	appendix	NOUN
ejpam-1515	306	12	has	have	AUX
ejpam-1515	306	13	been	be	AUX
ejpam-1515	306	14	included	include	VERB
ejpam-1515	306	15	to	to	PART
ejpam-1515	306	16	provide	provide	VERB
ejpam-1515	306	17	a	a	DET
ejpam-1515	306	18	reference	reference	NOUN
ejpam-1515	306	19	for	for	ADP
ejpam-1515	306	20	several	several	ADJ
ejpam-1515	306	21	low	low	ADJ
ejpam-1515	306	22	dimension	dimension	NOUN
ejpam-1515	306	23	lie	lie	NOUN
ejpam-1515	306	24	algebras	algebra	VERB
ejpam-1515	306	25	.	.	PUNCT
ejpam-1515	307	1	in	in	ADP
ejpam-1515	307	2	each	each	DET
ejpam-1515	307	3	case	case	NOUN
ejpam-1515	307	4	,	,	PUNCT
ejpam-1515	307	5	the	the	DET
ejpam-1515	307	6	following	follow	VERB
ejpam-1515	307	7	information	information	NOUN
ejpam-1515	307	8	is	be	AUX
ejpam-1515	307	9	listed	list	VERB
ejpam-1515	307	10	•	•	ADP
ejpam-1515	307	11	a	a	DET
ejpam-1515	307	12	set	set	NOUN
ejpam-1515	307	13	of	of	ADP
ejpam-1515	307	14	base	base	NOUN
ejpam-1515	307	15	matrices	matrix	NOUN
ejpam-1515	307	16	�	�	PROPN
ejpam-1515	307	17	ei	ei	NOUN
ejpam-1515	307	18	•	•	NUM
ejpam-1515	307	19	corresponding	correspond	VERB
ejpam-1515	307	20	structure	structure	NOUN
ejpam-1515	307	21	constants	constant	NOUN
ejpam-1515	308	1	ck	ck	PROPN
ejpam-1515	309	1	i	i	PRON
ejpam-1515	309	2	,	,	PUNCT
ejpam-1515	309	3	j	j	PROPN
ejpam-1515	309	4	defined	define	VERB
ejpam-1515	309	5	by	by	ADP
ejpam-1515	309	6	ck	ck	PROPN
ejpam-1515	309	7	i	i	PROPN
ejpam-1515	309	8	,	,	PUNCT
ejpam-1515	309	9	j	j	PROPN
ejpam-1515	309	10	ek	ek	PROPN
ejpam-1515	309	11	=	=	SYM
ejpam-1515	309	12	�	�	PROPN
ejpam-1515	309	13	ei	ei	NOUN
ejpam-1515	309	14	,	,	PUNCT
ejpam-1515	309	15	e	e	PROPN
ejpam-1515	309	16	j	j	PROPN
ejpam-1515	309	17	�	�	PROPN
ejpam-1515	309	18	•	•	VERB
ejpam-1515	309	19	the	the	DET
ejpam-1515	309	20	basic	basic	ADJ
ejpam-1515	309	21	casimir	casimir	NOUN
ejpam-1515	309	22	functions	function	NOUN
ejpam-1515	309	23	cn	cn	VERB
ejpam-1515	309	24	from	from	ADP
ejpam-1515	309	25	which	which	PRON
ejpam-1515	309	26	other	other	ADJ
ejpam-1515	309	27	invariant	invariant	ADJ
ejpam-1515	309	28	functions	function	NOUN
ejpam-1515	309	29	c∗	c∗	NOUN
ejpam-1515	309	30	can	can	AUX
ejpam-1515	309	31	be	be	AUX
ejpam-1515	309	32	found	find	VERB
ejpam-1515	309	33	:	:	PUNCT
ejpam-1515	309	34	c∗	c∗	PROPN
ejpam-1515	309	35	�	�	PROPN
ejpam-1515	309	36	cn	cn	PROPN
ejpam-1515	309	37	�	�	PROPN
ejpam-1515	309	38	•	•	ADP
ejpam-1515	309	39	the	the	DET
ejpam-1515	309	40	lax	lax	PROPN
ejpam-1515	309	41	operators	operator	NOUN
ejpam-1515	309	42	l	l	VERB
ejpam-1515	309	43	derived	derive	VERB
ejpam-1515	309	44	from	from	ADP
ejpam-1515	309	45	l	l	NOUN
ejpam-1515	309	46	=	=	PUNCT
ejpam-1515	309	47	∇c	∇c	VERB
ejpam-1515	309	48	such	such	ADJ
ejpam-1515	309	49	that	that	PRON
ejpam-1515	309	50	–	–	PUNCT
ejpam-1515	310	1	if	if	SCONJ
ejpam-1515	310	2	g−1	g−1	PROPN
ejpam-1515	310	3	d	d	NOUN
ejpam-1515	310	4	g	g	NOUN
ejpam-1515	310	5	d	d	PROPN
ejpam-1515	310	6	t	t	PROPN
ejpam-1515	310	7	=	=	PRON
ejpam-1515	310	8	∇h	∇h	PROPN
ejpam-1515	310	9	and	and	CCONJ
ejpam-1515	310	10	[	[	X
ejpam-1515	310	11	l,∇h	l,∇h	NOUN
ejpam-1515	310	12	]	]	X
ejpam-1515	310	13	=	=	SYM
ejpam-1515	310	14	0	0	NUM
ejpam-1515	310	15	,	,	PUNCT
ejpam-1515	310	16	–	–	PUNCT
ejpam-1515	310	17	then	then	ADV
ejpam-1515	310	18	g−1	g−1	PROPN
ejpam-1515	310	19	l(t)l(0)g	l(t)l(0)g	PROPN
ejpam-1515	310	20	l(t	l(t	PROPN
ejpam-1515	310	21	)	)	PUNCT
ejpam-1515	310	22	=	=	SYM
ejpam-1515	310	23	l(t	l(t	PROPN
ejpam-1515	310	24	)	)	PUNCT
ejpam-1515	310	25	the	the	DET
ejpam-1515	310	26	differential	differential	ADJ
ejpam-1515	310	27	equations	equation	NOUN
ejpam-1515	310	28	of	of	ADP
ejpam-1515	310	29	motions	motion	NOUN
ejpam-1515	310	30	are	be	AUX
ejpam-1515	310	31	ṗi	ṗi	ADJ
ejpam-1515	310	32	=	=	SYM
ejpam-1515	311	1	−	−	PROPN
ejpam-1515	311	2	∂	∂	NUM
ejpam-1515	311	3	h	h	NOUN
ejpam-1515	311	4	∂	∂	NOUN
ejpam-1515	312	1	p	p	NOUN
ejpam-1515	312	2	j	j	PROPN
ejpam-1515	312	3	ck	ck	INTJ
ejpam-1515	313	1	i	i	PRON
ejpam-1515	313	2	j	j	PROPN
ejpam-1515	313	3	pk	pk	INTJ
ejpam-1515	313	4	where	where	SCONJ
ejpam-1515	313	5	h	h	NOUN
ejpam-1515	313	6	is	be	AUX
ejpam-1515	313	7	the	the	DET
ejpam-1515	313	8	hamiltonian	hamiltonian	ADJ
ejpam-1515	313	9	function	function	NOUN
ejpam-1515	313	10	.	.	PUNCT
ejpam-1515	314	1	references	reference	NOUN
ejpam-1515	314	2	581	581	NUM
ejpam-1515	314	3	appendix	appendix	NOUN
ejpam-1515	314	4	a.1	a.1	NOUN
ejpam-1515	314	5	.	.	PUNCT
ejpam-1515	315	1	so(4	so(4	ADJ
ejpam-1515	315	2	)	)	PUNCT
ejpam-1515	315	3	,	,	PUNCT
ejpam-1515	315	4	se(3	se(3	NOUN
ejpam-1515	315	5	)	)	PUNCT
ejpam-1515	315	6	and	and	CCONJ
ejpam-1515	315	7	so(3	so(3	NOUN
ejpam-1515	315	8	,	,	PUNCT
ejpam-1515	315	9	1	1	NUM
ejpam-1515	315	10	)	)	PUNCT
ejpam-1515	315	11	a	a	DET
ejpam-1515	315	12	basis	basis	NOUN
ejpam-1515	315	13	for	for	ADP
ejpam-1515	315	14	tangent	tangent	NOUN
ejpam-1515	315	15	spaces	space	VERB
ejpam-1515	315	16	so(4	so(4	PROPN
ejpam-1515	315	17	)	)	PUNCT
ejpam-1515	315	18	,	,	PUNCT
ejpam-1515	315	19	se(3	se(3	NOUN
ejpam-1515	315	20	)	)	PUNCT
ejpam-1515	315	21	and	and	CCONJ
ejpam-1515	315	22	so(3,1	so(3,1	NOUN
ejpam-1515	315	23	)	)	PUNCT
ejpam-1515	315	24	,	,	PUNCT
ejpam-1515	316	1	where	where	SCONJ
ejpam-1515	316	2	ǫ	ǫ	NOUN
ejpam-1515	316	3	=	=	SYM
ejpam-1515	316	4	1	1	NUM
ejpam-1515	316	5	for	for	ADP
ejpam-1515	316	6	so(4	so(4	NOUN
ejpam-1515	316	7	)	)	PUNCT
ejpam-1515	316	8	,	,	PUNCT
ejpam-1515	316	9	ǫ	ǫ	NOUN
ejpam-1515	316	10	=	=	SYM
ejpam-1515	316	11	0	0	NUM
ejpam-1515	316	12	for	for	ADP
ejpam-1515	316	13	se(3	se(3	NOUN
ejpam-1515	316	14	)	)	PUNCT
ejpam-1515	316	15	and	and	CCONJ
ejpam-1515	316	16	ǫ	ǫ	NOUN
ejpam-1515	316	17	=	=	SYM
ejpam-1515	316	18	−1	−1	NOUN
ejpam-1515	316	19	for	for	ADP
ejpam-1515	316	20	so(3,1	so(3,1	PROPN
ejpam-1515	316	21	)	)	PUNCT
ejpam-1515	316	22	,	,	PUNCT
ejpam-1515	316	23	is	be	AUX
ejpam-1515	316	24	given	give	VERB
ejpam-1515	316	25	by	by	ADP
ejpam-1515	316	26	6	6	NUM
ejpam-1515	316	27	∑	∑	PROPN
ejpam-1515	316	28	i=1	i=1	PROPN
ejpam-1515	316	29	ωiei	ωiei	PROPN
ejpam-1515	316	30	=	=	NOUN
ejpam-1515	316	31			NOUN
ejpam-1515	316	32			ADJ
ejpam-1515	316	33			ADJ
ejpam-1515	316	34			ADJ
ejpam-1515	316	35			NOUN
ejpam-1515	316	36	0	0	PUNCT
ejpam-1515	317	1	−ǫω1	−ǫω1	PROPN
ejpam-1515	317	2	−ǫω2	−ǫω2	X
ejpam-1515	317	3	−ǫω3	−ǫω3	PROPN
ejpam-1515	317	4	ω1	ω1	PROPN
ejpam-1515	317	5	0	0	PUNCT
ejpam-1515	317	6	−ω6	−ω6	PROPN
ejpam-1515	317	7	ω5	ω5	VERB
ejpam-1515	317	8	ω2	ω2	PROPN
ejpam-1515	317	9	ω6	ω6	PROPN
ejpam-1515	317	10	0	0	NUM
ejpam-1515	318	1	−ω4	−ω4	PROPN
ejpam-1515	318	2	ω3	ω3	PROPN
ejpam-1515	318	3	−ω5	−ω5	PROPN
ejpam-1515	318	4	ω4	ω4	NUM
ejpam-1515	318	5	0	0	PUNCT
ejpam-1515	318	6			PROPN
ejpam-1515	318	7			PROPN
ejpam-1515	318	8			PROPN
ejpam-1515	318	9			PROPN
ejpam-1515	318	10			PROPN
ejpam-1515	318	11	structure	structure	NOUN
ejpam-1515	318	12	constants	constant	NOUN
ejpam-1515	318	13	c3	c3	NOUN
ejpam-1515	318	14	15	15	NUM
ejpam-1515	318	15	=	=	SYM
ejpam-1515	318	16	c1	c1	NOUN
ejpam-1515	318	17	26	26	NUM
ejpam-1515	318	18	=	=	SYM
ejpam-1515	318	19	c2	c2	PROPN
ejpam-1515	318	20	34	34	NUM
ejpam-1515	319	1	=	=	SYM
ejpam-1515	319	2	c3	c3	X
ejpam-1515	319	3	42	42	NUM
ejpam-1515	319	4	=	=	SYM
ejpam-1515	319	5	c6	c6	PROPN
ejpam-1515	319	6	45	45	NUM
ejpam-1515	319	7	=	=	SYM
ejpam-1515	319	8	c1	c1	PROPN
ejpam-1515	319	9	53	53	NUM
ejpam-1515	319	10	=	=	PUNCT
ejpam-1515	319	11	c4	c4	NOUN
ejpam-1515	319	12	56	56	NUM
ejpam-1515	319	13	=	=	SYM
ejpam-1515	319	14	c2	c2	PROPN
ejpam-1515	319	15	61	61	NUM
ejpam-1515	319	16	=	=	SYM
ejpam-1515	319	17	c5	c5	PROPN
ejpam-1515	319	18	64	64	NUM
ejpam-1515	319	19	=	=	SYM
ejpam-1515	319	20	1	1	NUM
ejpam-1515	319	21	c2	c2	PROPN
ejpam-1515	319	22	16	16	NUM
ejpam-1515	320	1	=	=	SYM
ejpam-1515	320	2	c3	c3	X
ejpam-1515	320	3	24	24	NUM
ejpam-1515	320	4	=	=	SYM
ejpam-1515	320	5	c1	c1	NOUN
ejpam-1515	320	6	35	35	NUM
ejpam-1515	320	7	=	=	SYM
ejpam-1515	320	8	c2	c2	PROPN
ejpam-1515	320	9	43	43	NUM
ejpam-1515	321	1	=	=	SYM
ejpam-1515	321	2	c5	c5	PROPN
ejpam-1515	321	3	46	46	NUM
ejpam-1515	322	1	=	=	SYM
ejpam-1515	322	2	c3	c3	X
ejpam-1515	322	3	51	51	NUM
ejpam-1515	322	4	=	=	SYM
ejpam-1515	322	5	c6	c6	PROPN
ejpam-1515	322	6	54	54	NUM
ejpam-1515	322	7	=	=	SYM
ejpam-1515	322	8	c1	c1	PROPN
ejpam-1515	322	9	62	62	NUM
ejpam-1515	322	10	=	=	NOUN
ejpam-1515	322	11	c4	c4	NOUN
ejpam-1515	322	12	65	65	NUM
ejpam-1515	322	13	=	=	SYM
ejpam-1515	322	14	−1	−1	NOUN
ejpam-1515	322	15	c6	c6	NOUN
ejpam-1515	322	16	12	12	NUM
ejpam-1515	322	17	=	=	NOUN
ejpam-1515	322	18	c4	c4	NOUN
ejpam-1515	322	19	23	23	NUM
ejpam-1515	322	20	=	=	SYM
ejpam-1515	322	21	c5	c5	PROPN
ejpam-1515	322	22	31	31	NUM
ejpam-1515	322	23	=	=	SYM
ejpam-1515	322	24	ε	ε	PROPN
ejpam-1515	322	25	c5	c5	PROPN
ejpam-1515	322	26	13	13	NUM
ejpam-1515	322	27	=	=	SYM
ejpam-1515	322	28	c6	c6	PROPN
ejpam-1515	322	29	21	21	NUM
ejpam-1515	322	30	=	=	NOUN
ejpam-1515	322	31	c4	c4	NOUN
ejpam-1515	322	32	32	32	NUM
ejpam-1515	322	33	=	=	SYM
ejpam-1515	322	34	−ε	−ε	PROPN
ejpam-1515	322	35	casimir	casimir	NOUN
ejpam-1515	322	36	functions	function	NOUN
ejpam-1515	322	37	c2	c2	PROPN
ejpam-1515	322	38	=	=	SYM
ejpam-1515	322	39	3	3	NUM
ejpam-1515	322	40	∑	∑	PROPN
ejpam-1515	322	41	i=1	i=1	PROPN
ejpam-1515	322	42	p2	p2	PROPN
ejpam-1515	323	1	i	i	PRON
ejpam-1515	323	2	+	+	VERB
ejpam-1515	323	3	ǫ	ǫ	PROPN
ejpam-1515	323	4	6	6	NUM
ejpam-1515	323	5	∑	∑	NOUN
ejpam-1515	323	6	i=4	i=4	ADJ
ejpam-1515	323	7	p2	p2	PROPN
ejpam-1515	323	8	i	i	PROPN
ejpam-1515	323	9	c3	c3	NOUN
ejpam-1515	323	10	=	=	PUNCT
ejpam-1515	323	11	3	3	NUM
ejpam-1515	323	12	∑	∑	NOUN
ejpam-1515	323	13	i=1	i=1	PROPN
ejpam-1515	323	14	pi	pi	PROPN
ejpam-1515	323	15	pi+3	pi+3	NOUN
ejpam-1515	323	16	lax	lax	PROPN
ejpam-1515	323	17	operators	operator	NOUN
ejpam-1515	323	18	l	l	NOUN
ejpam-1515	324	1	=	=	SYM
ejpam-1515	324	2	3	3	NUM
ejpam-1515	324	3	∑	∑	NOUN
ejpam-1515	324	4	i=1	i=1	PROPN
ejpam-1515	324	5	pie	pie	NOUN
ejpam-1515	324	6	∗	∗	NOUN
ejpam-1515	325	1	i	i	PRON
ejpam-1515	325	2	+	+	CCONJ
ejpam-1515	325	3	ε	ε	PROPN
ejpam-1515	325	4	6	6	NUM
ejpam-1515	325	5	∑	∑	NOUN
ejpam-1515	325	6	i=4	i=4	ADJ
ejpam-1515	325	7	pie	pie	NOUN
ejpam-1515	325	8	∗	∗	NOUN
ejpam-1515	326	1	i	i	NOUN
ejpam-1515	326	2	l	l	NOUN
ejpam-1515	327	1	=	=	PUNCT
ejpam-1515	327	2	3	3	NUM
ejpam-1515	327	3	∑	∑	NOUN
ejpam-1515	327	4	i=1	i=1	PROPN
ejpam-1515	327	5	pie	pie	NOUN
ejpam-1515	327	6	∗	∗	NOUN
ejpam-1515	327	7	i+3	i+3	NOUN
ejpam-1515	327	8	+	+	CCONJ
ejpam-1515	327	9	3	3	NUM
ejpam-1515	327	10	∑	∑	PROPN
ejpam-1515	327	11	i=1	i=1	PROPN
ejpam-1515	327	12	pi+3e∗i	pi+3e∗i	PROPN
ejpam-1515	327	13	appendix	appendix	NOUN
ejpam-1515	327	14	a.2	a.2	PUNCT
ejpam-1515	327	15	.	.	PUNCT
ejpam-1515	328	1	so(3	so(3	NOUN
ejpam-1515	328	2	)	)	PUNCT
ejpam-1515	328	3	,	,	PUNCT
ejpam-1515	328	4	se(2	se(2	PROPN
ejpam-1515	328	5	)	)	PUNCT
ejpam-1515	328	6	,	,	PUNCT
ejpam-1515	328	7	so(2	so(2	NOUN
ejpam-1515	328	8	,	,	PUNCT
ejpam-1515	328	9	1),su(2),sl(2	1),su(2),sl(2	NUM
ejpam-1515	328	10	)	)	PUNCT
ejpam-1515	328	11	and	and	CCONJ
ejpam-1515	328	12	sp(2	sp(2	NOUN
ejpam-1515	328	13	)	)	PUNCT
ejpam-1515	328	14	a	a	DET
ejpam-1515	328	15	basis	basis	NOUN
ejpam-1515	328	16	for	for	ADP
ejpam-1515	328	17	so(3	so(3	NOUN
ejpam-1515	328	18	)	)	PUNCT
ejpam-1515	328	19	is	be	AUX
ejpam-1515	328	20	given	give	VERB
ejpam-1515	328	21	by	by	ADP
ejpam-1515	328	22	3	3	NUM
ejpam-1515	328	23	∑	∑	PROPN
ejpam-1515	328	24	i=1	i=1	PROPN
ejpam-1515	328	25	ωiei	ωiei	PROPN
ejpam-1515	329	1	=	=	NOUN
ejpam-1515	329	2			VERB
ejpam-1515	329	3			ADJ
ejpam-1515	329	4			NOUN
ejpam-1515	329	5	0	0	PUNCT
ejpam-1515	330	1	−ω3	−ω3	PROPN
ejpam-1515	330	2	ω2	ω2	ADJ
ejpam-1515	330	3	ω3	ω3	NOUN
ejpam-1515	330	4	0	0	PUNCT
ejpam-1515	331	1	−ω1	−ω1	ADV
ejpam-1515	331	2	−ω2	−ω2	ADP
ejpam-1515	331	3	ω1	ω1	PROPN
ejpam-1515	331	4	0	0	PUNCT
ejpam-1515	331	5			PROPN
ejpam-1515	331	6			PROPN
ejpam-1515	331	7			PROPN
ejpam-1515	331	8	a	a	DET
ejpam-1515	331	9	basis	basis	NOUN
ejpam-1515	331	10	for	for	ADP
ejpam-1515	331	11	se(2	se(2	NOUN
ejpam-1515	331	12	)	)	PUNCT
ejpam-1515	331	13	and	and	CCONJ
ejpam-1515	331	14	so(2,1	so(2,1	PROPN
ejpam-1515	331	15	)	)	PUNCT
ejpam-1515	331	16	,	,	PUNCT
ejpam-1515	331	17	where	where	SCONJ
ejpam-1515	331	18	ǫ	ǫ	NOUN
ejpam-1515	331	19	=	=	SYM
ejpam-1515	331	20	0	0	NUM
ejpam-1515	331	21	for	for	ADP
ejpam-1515	331	22	se(2	se(2	NOUN
ejpam-1515	331	23	)	)	PUNCT
ejpam-1515	331	24	and	and	CCONJ
ejpam-1515	331	25	ǫ	ǫ	NOUN
ejpam-1515	331	26	=	=	SYM
ejpam-1515	331	27	−1	−1	NOUN
ejpam-1515	331	28	for	for	ADP
ejpam-1515	331	29	so(2,1	so(2,1	PROPN
ejpam-1515	331	30	)	)	PUNCT
ejpam-1515	331	31	,	,	PUNCT
ejpam-1515	331	32	is	be	AUX
ejpam-1515	331	33	3	3	NUM
ejpam-1515	331	34	∑	∑	PROPN
ejpam-1515	331	35	i=1	i=1	PROPN
ejpam-1515	331	36	ωiei	ωiei	PROPN
ejpam-1515	332	1	=	=	NOUN
ejpam-1515	332	2			VERB
ejpam-1515	332	3			ADJ
ejpam-1515	332	4			NOUN
ejpam-1515	332	5	0	0	PUNCT
ejpam-1515	333	1	−ǫω2	−ǫω2	NOUN
ejpam-1515	333	2	−ǫω3	−ǫω3	NOUN
ejpam-1515	334	1	ω2	ω2	ADJ
ejpam-1515	334	2	0	0	PUNCT
ejpam-1515	335	1	−ω1	−ω1	ADP
ejpam-1515	335	2	ω3	ω3	PROPN
ejpam-1515	335	3	ω1	ω1	PROPN
ejpam-1515	335	4	0	0	PUNCT
ejpam-1515	335	5			PROPN
ejpam-1515	335	6			PROPN
ejpam-1515	335	7			PROPN
ejpam-1515	335	8	references	reference	NOUN
ejpam-1515	335	9	582	582	NUM
ejpam-1515	335	10	a	a	DET
ejpam-1515	335	11	basis	basis	NOUN
ejpam-1515	335	12	for	for	ADP
ejpam-1515	335	13	su(2	su(2	VERB
ejpam-1515	335	14	)	)	PUNCT
ejpam-1515	335	15	is	be	AUX
ejpam-1515	335	16	3	3	NUM
ejpam-1515	335	17	∑	∑	PROPN
ejpam-1515	335	18	i=1	i=1	PROPN
ejpam-1515	335	19	ωiei	ωiei	PROPN
ejpam-1515	336	1	=	=	NOUN
ejpam-1515	336	2	1	1	NUM
ejpam-1515	336	3	2	2	NUM
ejpam-1515	336	4	�	�	NOUN
ejpam-1515	336	5	iω1	iω1	VERB
ejpam-1515	336	6	ω2	ω2	ADJ
ejpam-1515	336	7	+	+	CCONJ
ejpam-1515	336	8	iω3	iω3	X
ejpam-1515	336	9	−ω2	−ω2	ADP
ejpam-1515	336	10	+	+	NOUN
ejpam-1515	336	11	iω3	iω3	PROPN
ejpam-1515	336	12	−iω1	−iω1	NOUN
ejpam-1515	336	13	�	�	PROPN
ejpam-1515	336	14	a	a	DET
ejpam-1515	336	15	basis	basis	NOUN
ejpam-1515	336	16	for	for	ADP
ejpam-1515	336	17	sl(2	sl(2	PROPN
ejpam-1515	336	18	)	)	PUNCT
ejpam-1515	336	19	and	and	CCONJ
ejpam-1515	336	20	sp(2	sp(2	NOUN
ejpam-1515	336	21	)	)	PUNCT
ejpam-1515	336	22	is	be	AUX
ejpam-1515	336	23	3	3	NUM
ejpam-1515	336	24	∑	∑	PROPN
ejpam-1515	336	25	i=1	i=1	PROPN
ejpam-1515	336	26	ωiei	ωiei	PROPN
ejpam-1515	337	1	=	=	NOUN
ejpam-1515	337	2	1	1	NUM
ejpam-1515	337	3	2	2	NUM
ejpam-1515	337	4	�	�	PROPN
ejpam-1515	337	5	ω3	ω3	PROPN
ejpam-1515	337	6	ω1	ω1	PROPN
ejpam-1515	337	7	+	+	PROPN
ejpam-1515	337	8	ω2	ω2	ADJ
ejpam-1515	337	9	−ω1+ω2	−ω1+ω2	VERB
ejpam-1515	337	10	−ω3	−ω3	PROPN
ejpam-1515	337	11	�	�	PROPN
ejpam-1515	337	12	structure	structure	NOUN
ejpam-1515	337	13	constant	constant	ADJ
ejpam-1515	337	14	values	value	NOUN
ejpam-1515	337	15	for	for	ADP
ejpam-1515	337	16	so(3	so(3	NOUN
ejpam-1515	337	17	)	)	PUNCT
ejpam-1515	337	18	(	(	PUNCT
ejpam-1515	337	19	with	with	ADP
ejpam-1515	337	20	ǫ	ǫ	NOUN
ejpam-1515	337	21	=	=	SYM
ejpam-1515	337	22	1	1	NUM
ejpam-1515	337	23	)	)	PUNCT
ejpam-1515	337	24	,	,	PUNCT
ejpam-1515	337	25	se(2	se(2	NOUN
ejpam-1515	337	26	)	)	PUNCT
ejpam-1515	337	27	(	(	PUNCT
ejpam-1515	337	28	with	with	ADP
ejpam-1515	337	29	ǫ	ǫ	NOUN
ejpam-1515	337	30	=	=	SYM
ejpam-1515	337	31	0	0	NUM
ejpam-1515	337	32	)	)	PUNCT
ejpam-1515	337	33	,	,	PUNCT
ejpam-1515	337	34	so(2,1	so(2,1	PROPN
ejpam-1515	337	35	)	)	PUNCT
ejpam-1515	337	36	(	(	PUNCT
ejpam-1515	337	37	with	with	ADP
ejpam-1515	337	38	ǫ	ǫ	NOUN
ejpam-1515	337	39	=	=	SYM
ejpam-1515	337	40	−1	−1	NOUN
ejpam-1515	337	41	)	)	PUNCT
ejpam-1515	337	42	,	,	PUNCT
ejpam-1515	337	43	su(2	su(2	NOUN
ejpam-1515	337	44	)	)	PUNCT
ejpam-1515	337	45	(	(	PUNCT
ejpam-1515	337	46	with	with	ADP
ejpam-1515	337	47	ǫ	ǫ	NOUN
ejpam-1515	337	48	=	=	SYM
ejpam-1515	337	49	1	1	NUM
ejpam-1515	337	50	)	)	PUNCT
ejpam-1515	337	51	,	,	PUNCT
ejpam-1515	337	52	sl(2	sl(2	PROPN
ejpam-1515	337	53	)	)	PUNCT
ejpam-1515	337	54	(	(	PUNCT
ejpam-1515	337	55	with	with	ADP
ejpam-1515	337	56	ǫ	ǫ	NOUN
ejpam-1515	337	57	=	=	SYM
ejpam-1515	337	58	−1	−1	NOUN
ejpam-1515	337	59	)	)	PUNCT
ejpam-1515	337	60	and	and	CCONJ
ejpam-1515	337	61	sp(2	sp(2	NOUN
ejpam-1515	337	62	)	)	PUNCT
ejpam-1515	337	63	(	(	PUNCT
ejpam-1515	337	64	with	with	ADP
ejpam-1515	337	65	ǫ	ǫ	NOUN
ejpam-1515	337	66	=	=	SYM
ejpam-1515	337	67	−1	−1	NOUN
ejpam-1515	337	68	)	)	PUNCT
ejpam-1515	337	69	are	be	AUX
ejpam-1515	337	70	c2	c2	PROPN
ejpam-1515	337	71	31	31	NUM
ejpam-1515	337	72	=	=	SYM
ejpam-1515	337	73	c3	c3	X
ejpam-1515	337	74	12	12	NUM
ejpam-1515	337	75	=	=	SYM
ejpam-1515	337	76	1	1	NUM
ejpam-1515	337	77	c2	c2	PROPN
ejpam-1515	337	78	13	13	NUM
ejpam-1515	337	79	=	=	SYM
ejpam-1515	337	80	c3	c3	X
ejpam-1515	337	81	21	21	NUM
ejpam-1515	337	82	=	=	SYM
ejpam-1515	337	83	−1	−1	NOUN
ejpam-1515	337	84	c1	c1	NOUN
ejpam-1515	337	85	23	23	NUM
ejpam-1515	337	86	=	=	SYM
ejpam-1515	337	87	ε	ε	PROPN
ejpam-1515	337	88	c1	c1	PROPN
ejpam-1515	337	89	32	32	NUM
ejpam-1515	337	90	=	=	SYM
ejpam-1515	337	91	−ε	−ε	PROPN
ejpam-1515	337	92	casimir	casimir	NOUN
ejpam-1515	337	93	functions	function	NOUN
ejpam-1515	337	94	c2	c2	PROPN
ejpam-1515	337	95	=	=	SYM
ejpam-1515	337	96	εp	εp	ADP
ejpam-1515	337	97	2	2	NUM
ejpam-1515	337	98	1	1	NUM
ejpam-1515	337	99	+	+	CCONJ
ejpam-1515	337	100	3	3	NUM
ejpam-1515	337	101	∑	∑	NOUN
ejpam-1515	337	102	i=2	i=2	PROPN
ejpam-1515	337	103	p2	p2	PROPN
ejpam-1515	337	104	i	i	PRON
ejpam-1515	337	105	lax	lax	VERB
ejpam-1515	337	106	operators	operator	NOUN
ejpam-1515	337	107	2l	2l	NUM
ejpam-1515	338	1	=	=	SYM
ejpam-1515	338	2	∇c2	∇c2	ADJ
ejpam-1515	338	3	=	=	SYM
ejpam-1515	338	4	εp1e∗1	εp1e∗1	PROPN
ejpam-1515	338	5	+	+	CCONJ
ejpam-1515	338	6	3	3	NUM
ejpam-1515	338	7	∑	∑	NOUN
ejpam-1515	338	8	i=2	i=2	PROPN
ejpam-1515	338	9	pie	pie	NOUN
ejpam-1515	338	10	∗	∗	NOUN
ejpam-1515	338	11	i	i	PRON
ejpam-1515	338	12	appendix	appendix	VERB
ejpam-1515	338	13	a.3	a.3	VERB
ejpam-1515	338	14	.	.	PUNCT
ejpam-1515	339	1	h2n+1	h2n+1	PROPN
ejpam-1515	339	2	,	,	PUNCT
ejpam-1515	339	3	the	the	DET
ejpam-1515	339	4	heisenberg	heisenberg	PROPN
ejpam-1515	339	5	lie	lie	NOUN
ejpam-1515	339	6	algebra	algebra	VERB
ejpam-1515	339	7	a	a	DET
ejpam-1515	339	8	basis	basis	NOUN
ejpam-1515	339	9	for	for	ADP
ejpam-1515	339	10	h2n+1	h2n+1	PROPN
ejpam-1515	339	11	,	,	PUNCT
ejpam-1515	339	12	the	the	DET
ejpam-1515	339	13	heisenberg	heisenberg	PROPN
ejpam-1515	339	14	lie	lie	PROPN
ejpam-1515	339	15	algebra	algebra	PROPN
ejpam-1515	339	16	,	,	PUNCT
ejpam-1515	339	17	is	be	AUX
ejpam-1515	339	18	n	n	PRON
ejpam-1515	339	19	∑	∑	ADV
ejpam-1515	339	20	i=1	i=1	PROPN
ejpam-1515	339	21	x	x	PROPN
ejpam-1515	339	22	iei	iei	PROPN
ejpam-1515	339	23	+	+	X
ejpam-1515	339	24	2n	2n	NUM
ejpam-1515	339	25	∑	∑	PUNCT
ejpam-1515	340	1	i	i	PROPN
ejpam-1515	340	2	=	=	NOUN
ejpam-1515	340	3	n+1	n+1	PROPN
ejpam-1515	340	4	yiei+n	yiei+n	NOUN
ejpam-1515	340	5	+	+	SYM
ejpam-1515	340	6	ze2n+1	ze2n+1	NUM
ejpam-1515	340	7	=	=	SYM
ejpam-1515	340	8			NOUN
ejpam-1515	340	9			ADJ
ejpam-1515	340	10			NOUN
ejpam-1515	340	11	0	0	NUM
ejpam-1515	340	12	�	�	PROPN
ejpam-1515	340	13	x1	x1	PROPN
ejpam-1515	340	14	.	.	PUNCT
ejpam-1515	340	15	.	.	PUNCT
ejpam-1515	341	1	.	.	PUNCT
ejpam-1515	342	1	xn	xn	PROPN
ejpam-1515	342	2	�	�	PROPN
ejpam-1515	342	3	z	z	PROPN
ejpam-1515	342	4	0	0	NUM
ejpam-1515	342	5	0n	0n	NUM
ejpam-1515	342	6	�	�	PROPN
ejpam-1515	342	7	y1	y1	PROPN
ejpam-1515	342	8	.	.	PUNCT
ejpam-1515	342	9	.	.	PUNCT
ejpam-1515	342	10	.	.	PUNCT
ejpam-1515	343	1	yn	yn	PROPN
ejpam-1515	343	2	�	�	PROPN
ejpam-1515	343	3	t	t	PROPN
ejpam-1515	343	4	0	0	NUM
ejpam-1515	343	5	0	0	NUM
ejpam-1515	343	6	0	0	NUM
ejpam-1515	343	7			PROPN
ejpam-1515	343	8			PROPN
ejpam-1515	343	9			NOUN
ejpam-1515	343	10	structure	structure	NOUN
ejpam-1515	343	11	constant	constant	ADJ
ejpam-1515	343	12	values	value	NOUN
ejpam-1515	343	13	for	for	ADP
ejpam-1515	343	14	h2n+1	h2n+1	NOUN
ejpam-1515	343	15	are	be	AUX
ejpam-1515	343	16	for	for	ADP
ejpam-1515	343	17	i	i	PROPN
ejpam-1515	343	18	∈	∈	PROPN
ejpam-1515	343	19	{	{	PUNCT
ejpam-1515	343	20	1	1	NUM
ejpam-1515	343	21	,	,	PUNCT
ejpam-1515	343	22	n	n	CCONJ
ejpam-1515	343	23	}	}	PUNCT
ejpam-1515	343	24	c2n+1	c2n+1	VERB
ejpam-1515	343	25	i,(n+i	i,(n+i	NOUN
ejpam-1515	343	26	)	)	PUNCT
ejpam-1515	343	27	=	=	SYM
ejpam-1515	343	28	1	1	X
ejpam-1515	343	29	,	,	PUNCT
ejpam-1515	343	30	c2n+1	c2n+1	ADJ
ejpam-1515	343	31	(	(	PUNCT
ejpam-1515	343	32	n+i),i	n+i),i	NUM
ejpam-1515	343	33	=	=	SYM
ejpam-1515	343	34	−1	−1	NOUN
ejpam-1515	343	35	,	,	PUNCT
ejpam-1515	343	36	cn+i	cn+i	PROPN
ejpam-1515	343	37	i,(2n+1	i,(2n+1	PROPN
ejpam-1515	343	38	)	)	PUNCT
ejpam-1515	343	39	=	=	PUNCT
ejpam-1515	344	1	c	c	NOUN
ejpam-1515	345	1	i	i	PRON
ejpam-1515	345	2	(	(	PUNCT
ejpam-1515	345	3	n+i),(2n+1	n+i),(2n+1	VERB
ejpam-1515	345	4	)	)	PUNCT
ejpam-1515	345	5	=	=	SYM
ejpam-1515	345	6	0	0	NUM
ejpam-1515	345	7	structure	structure	NOUN
ejpam-1515	345	8	constant	constant	ADJ
ejpam-1515	345	9	values	value	NOUN
ejpam-1515	345	10	for	for	ADP
ejpam-1515	345	11	h3	h3	NOUN
ejpam-1515	345	12	are	be	AUX
ejpam-1515	345	13	c3	c3	PROPN
ejpam-1515	345	14	12	12	NUM
ejpam-1515	345	15	=	=	SYM
ejpam-1515	345	16	1	1	NUM
ejpam-1515	345	17	,	,	PUNCT
ejpam-1515	345	18	c3	c3	PROPN
ejpam-1515	345	19	21	21	NUM
ejpam-1515	345	20	=	=	SYM
ejpam-1515	345	21	−1	−1	NOUN
ejpam-1515	345	22	,	,	PUNCT
ejpam-1515	345	23	c1	c1	NOUN
ejpam-1515	345	24	23	23	NUM
ejpam-1515	346	1	=	=	SYM
ejpam-1515	346	2	c2	c2	PROPN
ejpam-1515	346	3	13	13	NUM
ejpam-1515	346	4	=	=	SYM
ejpam-1515	346	5	0	0	NUM
ejpam-1515	346	6	casimir	casimir	NOUN
ejpam-1515	346	7	functions	function	NOUN
ejpam-1515	346	8	ci	ci	NOUN
ejpam-1515	347	1	=	=	PUNCT
ejpam-1515	348	1	x	x	PROPN
ejpam-1515	349	1	+	+	CCONJ
ejpam-1515	349	2	y	y	PROPN
ejpam-1515	349	3	is	be	AUX
ejpam-1515	349	4	invariant	invariant	ADJ
ejpam-1515	349	5	if	if	SCONJ
ejpam-1515	349	6	x	x	PRON
ejpam-1515	349	7	,	,	PUNCT
ejpam-1515	349	8	y	y	PROPN
ejpam-1515	349	9	are	be	AUX
ejpam-1515	349	10	vectors	vector	NOUN
ejpam-1515	349	11	with	with	ADP
ejpam-1515	349	12	equal	equal	ADJ
ejpam-1515	349	13	number	number	NOUN
ejpam-1515	349	14	of	of	ADP
ejpam-1515	349	15	non	non	ADJ
ejpam-1515	349	16	-	-	ADJ
ejpam-1515	349	17	zero	zero	NUM
ejpam-1515	349	18	components	component	NOUN
ejpam-1515	349	19	,	,	PUNCT
ejpam-1515	349	20	since	since	SCONJ
ejpam-1515	349	21	∑	∑	PROPN
ejpam-1515	349	22	i	i	PRON
ejpam-1515	349	23	c2n+1	c2n+1	PROPN
ejpam-1515	349	24	(	(	PUNCT
ejpam-1515	349	25	n+i),i	n+i),i	PROPN
ejpam-1515	349	26	z	z	PROPN
ejpam-1515	349	27	∂	∂	PROPN
ejpam-1515	349	28	ci	ci	PROPN
ejpam-1515	349	29	∂	∂	NOUN
ejpam-1515	349	30	x	x	NOUN
ejpam-1515	350	1	i	i	PROPN
ejpam-1515	350	2	+	+	CCONJ
ejpam-1515	350	3	∑	∑	PROPN
ejpam-1515	350	4	i	i	PRON
ejpam-1515	350	5	c2n+1	c2n+1	VERB
ejpam-1515	350	6	i,(n+i	i,(n+i	NOUN
ejpam-1515	350	7	)	)	PUNCT
ejpam-1515	350	8	z	z	PROPN
ejpam-1515	350	9	∂	∂	NUM
ejpam-1515	350	10	ci	ci	PROPN
ejpam-1515	350	11	∂	∂	NOUN
ejpam-1515	350	12	yi	yi	NOUN
ejpam-1515	350	13	=	=	PUNCT
ejpam-1515	350	14	∑	∑	PUNCT
ejpam-1515	350	15	i	i	PRON
ejpam-1515	350	16	c2n+1	c2n+1	PROPN
ejpam-1515	350	17	(	(	PUNCT
ejpam-1515	350	18	n+i),i	n+i),i	PROPN
ejpam-1515	350	19	z	z	PROPN
ejpam-1515	351	1	+	+	CCONJ
ejpam-1515	351	2	∑	∑	PROPN
ejpam-1515	351	3	i	i	PRON
ejpam-1515	351	4	c2n+1	c2n+1	VERB
ejpam-1515	351	5	i,(n+i	i,(n+i	NOUN
ejpam-1515	351	6	)	)	PUNCT
ejpam-1515	351	7	z	z	NOUN
ejpam-1515	352	1	=	=	NOUN
ejpam-1515	352	2	z	z	NOUN
ejpam-1515	352	3	−	−	NOUN
ejpam-1515	352	4	z	z	NOUN
ejpam-1515	352	5	=	=	NOUN
ejpam-1515	352	6	0	0	NUM
ejpam-1515	352	7	for	for	ADP
ejpam-1515	352	8	h3	h3	NOUN
ejpam-1515	352	9	,	,	PUNCT
ejpam-1515	352	10	c	c	NOUN
ejpam-1515	352	11	=	=	PUNCT
ejpam-1515	352	12	x	x	NOUN
ejpam-1515	352	13	+	+	CCONJ
ejpam-1515	352	14	y	y	PROPN
ejpam-1515	352	15	is	be	AUX
ejpam-1515	352	16	invariant	invariant	ADJ
ejpam-1515	352	17	.	.	PUNCT
ejpam-1515	353	1	references	reference	NOUN
ejpam-1515	353	2	583	583	NUM
ejpam-1515	353	3	appendix	appendix	NOUN
ejpam-1515	353	4	a.4	a.4	PUNCT
ejpam-1515	353	5	.	.	PUNCT
ejpam-1515	354	1	h⋄	h⋄	NOUN
ejpam-1515	354	2	3	3	NUM
ejpam-1515	354	3	,	,	PUNCT
ejpam-1515	354	4	the	the	DET
ejpam-1515	354	5	oscillator	oscillator	NOUN
ejpam-1515	354	6	lie	lie	NOUN
ejpam-1515	354	7	algebra	algebra	VERB
ejpam-1515	354	8	a	a	DET
ejpam-1515	354	9	basis	basis	NOUN
ejpam-1515	354	10	for	for	ADP
ejpam-1515	354	11	h⋄3	h⋄3	NOUN
ejpam-1515	354	12	,	,	PUNCT
ejpam-1515	354	13	the	the	DET
ejpam-1515	354	14	oscillator	oscillator	NOUN
ejpam-1515	354	15	lie	lie	NOUN
ejpam-1515	354	16	algebra	algebra	NOUN
ejpam-1515	354	17	,	,	PUNCT
ejpam-1515	354	18	is	be	AUX
ejpam-1515	354	19	3	3	NUM
ejpam-1515	354	20	∑	∑	PROPN
ejpam-1515	354	21	i=1	i=1	PROPN
ejpam-1515	354	22	ωiei	ωiei	PROPN
ejpam-1515	355	1	=	=	NOUN
ejpam-1515	356	1			NOUN
ejpam-1515	357	1			ADJ
ejpam-1515	358	1			ADJ
ejpam-1515	358	2			ADJ
ejpam-1515	358	3			NOUN
ejpam-1515	358	4	0	0	PUNCT
ejpam-1515	359	1	−ω1	−ω1	ADP
ejpam-1515	359	2	ω2	ω2	PROPN
ejpam-1515	359	3	−2ω3	−2ω3	NUM
ejpam-1515	359	4	0	0	NUM
ejpam-1515	359	5	0	0	NUM
ejpam-1515	360	1	−ω4	−ω4	NOUN
ejpam-1515	360	2	0	0	NUM
ejpam-1515	360	3	0	0	NUM
ejpam-1515	360	4	0	0	SYM
ejpam-1515	360	5	0	0	NUM
ejpam-1515	360	6	ω1	ω1	X
ejpam-1515	360	7	0	0	NUM
ejpam-1515	360	8	0	0	NUM
ejpam-1515	360	9	0	0	NUM
ejpam-1515	360	10	0	0	NUM
ejpam-1515	360	11			PROPN
ejpam-1515	360	12			PROPN
ejpam-1515	360	13			PROPN
ejpam-1515	360	14			PROPN
ejpam-1515	360	15			PROPN
ejpam-1515	360	16	structure	structure	NOUN
ejpam-1515	360	17	constants	constant	NOUN
ejpam-1515	360	18	for	for	ADP
ejpam-1515	360	19	h⋄3	h⋄3	NOUN
ejpam-1515	360	20	are	be	AUX
ejpam-1515	360	21	c3	c3	PROPN
ejpam-1515	360	22	12	12	NUM
ejpam-1515	360	23	=	=	SYM
ejpam-1515	360	24	c2	c2	PROPN
ejpam-1515	360	25	14	14	NUM
ejpam-1515	360	26	=	=	SYM
ejpam-1515	360	27	c1	c1	PROPN
ejpam-1515	360	28	42	42	NUM
ejpam-1515	360	29	=	=	SYM
ejpam-1515	360	30	1	1	NUM
ejpam-1515	360	31	c3	c3	NOUN
ejpam-1515	360	32	21	21	NUM
ejpam-1515	360	33	=	=	SYM
ejpam-1515	360	34	c2	c2	PROPN
ejpam-1515	360	35	41	41	NUM
ejpam-1515	360	36	=	=	SYM
ejpam-1515	360	37	c1	c1	NOUN
ejpam-1515	360	38	24	24	NUM
ejpam-1515	360	39	=	=	SYM
ejpam-1515	360	40	−1	−1	NOUN
ejpam-1515	360	41	casimir	casimir	NOUN
ejpam-1515	360	42	functions	function	NOUN
ejpam-1515	360	43	c2	c2	PROPN
ejpam-1515	360	44	=	=	PUNCT
ejpam-1515	360	45	p2	p2	PROPN
ejpam-1515	360	46	1	1	NUM
ejpam-1515	360	47	+	+	NUM
ejpam-1515	360	48	p2	p2	X
ejpam-1515	360	49	2	2	NUM
ejpam-1515	360	50	−	−	NOUN
ejpam-1515	360	51	2p3p4	2p3p4	NOUN
ejpam-1515	360	52	c3	c3	X
ejpam-1515	360	53	=	=	PROPN
ejpam-1515	360	54	p3	p3	PROPN