id	sid	tid	token	lemma	pos
american_scientific_journal-3116	1	1	138	138	NUM
american_scientific_journal-3116	1	2	american	american	ADJ
american_scientific_journal-3116	1	3	scientific	scientific	ADJ
american_scientific_journal-3116	1	4	research	research	NOUN
american_scientific_journal-3116	1	5	journal	journal	NOUN
american_scientific_journal-3116	1	6	for	for	ADP
american_scientific_journal-3116	1	7	engineering	engineering	NOUN
american_scientific_journal-3116	1	8	,	,	PUNCT
american_scientific_journal-3116	1	9	technology	technology	NOUN
american_scientific_journal-3116	1	10	,	,	PUNCT
american_scientific_journal-3116	1	11	and	and	CCONJ
american_scientific_journal-3116	1	12	sciences	science	NOUN
american_scientific_journal-3116	1	13	(	(	PUNCT
american_scientific_journal-3116	1	14	asrjets	asrjet	NOUN
american_scientific_journal-3116	1	15	)	)	PUNCT
american_scientific_journal-3116	1	16	issn	issn	PROPN
american_scientific_journal-3116	1	17	(	(	PUNCT
american_scientific_journal-3116	1	18	print	print	NOUN
american_scientific_journal-3116	1	19	)	)	PUNCT
american_scientific_journal-3116	1	20	2313	2313	NUM
american_scientific_journal-3116	1	21	-	-	SYM
american_scientific_journal-3116	1	22	4410	4410	NUM
american_scientific_journal-3116	1	23	,	,	PUNCT
american_scientific_journal-3116	1	24	issn	issn	PROPN
american_scientific_journal-3116	1	25	(	(	PUNCT
american_scientific_journal-3116	1	26	online	online	ADJ
american_scientific_journal-3116	1	27	)	)	PUNCT
american_scientific_journal-3116	1	28	2313	2313	NUM
american_scientific_journal-3116	1	29	-	-	SYM
american_scientific_journal-3116	1	30	4402	4402	NUM
american_scientific_journal-3116	1	31	©	©	PROPN
american_scientific_journal-3116	1	32	global	global	ADJ
american_scientific_journal-3116	1	33	society	society	NOUN
american_scientific_journal-3116	1	34	of	of	ADP
american_scientific_journal-3116	1	35	scientific	scientific	ADJ
american_scientific_journal-3116	1	36	research	research	NOUN
american_scientific_journal-3116	1	37	and	and	CCONJ
american_scientific_journal-3116	1	38	researchers	researcher	NOUN
american_scientific_journal-3116	1	39	http://asrjetsjournal.org/	http://asrjetsjournal.org/	NOUN
american_scientific_journal-3116	1	40	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	1	41	system	system	NOUN
american_scientific_journal-3116	1	42	mechanics	mechanic	NOUN
american_scientific_journal-3116	1	43	on	on	ADP
american_scientific_journal-3116	1	44	(	(	PUNCT
american_scientific_journal-3116	1	45	2,0)-jet	2,0)-jet	NUM
american_scientific_journal-3116	1	46	bundles	bundle	NOUN
american_scientific_journal-3116	1	47	ibrahim	ibrahim	PROPN
american_scientific_journal-3116	1	48	yousif	yousif	PROPN
american_scientific_journal-3116	1	49	i.	i.	PROPN
american_scientific_journal-3116	1	50	abad	abad	PROPN
american_scientific_journal-3116	1	51	alrhmana	alrhmana	PROPN
american_scientific_journal-3116	1	52	*	*	PUNCT
american_scientific_journal-3116	1	53	,	,	PUNCT
american_scientific_journal-3116	1	54	yonnis	yonnis	PROPN
american_scientific_journal-3116	1	55	a.	a.	PROPN
american_scientific_journal-3116	1	56	abu	abu	PROPN
american_scientific_journal-3116	1	57	aashab	aashab	PROPN
american_scientific_journal-3116	1	58	,	,	PUNCT
american_scientific_journal-3116	1	59	abdulaziz	abdulaziz	PROPN
american_scientific_journal-3116	1	60	b.	b.	PROPN
american_scientific_journal-3116	1	61	m.	m.	PROPN
american_scientific_journal-3116	1	62	hamedc	hamedc	PROPN
american_scientific_journal-3116	1	63	a	a	PRON
american_scientific_journal-3116	1	64	,	,	PUNCT
american_scientific_journal-3116	1	65	bdepartment	bdepartment	NOUN
american_scientific_journal-3116	1	66	of	of	ADP
american_scientific_journal-3116	1	67	math	math	NOUN
american_scientific_journal-3116	1	68	and	and	CCONJ
american_scientific_journal-3116	1	69	physics	physics	NOUN
american_scientific_journal-3116	1	70	faculty	faculty	NOUN
american_scientific_journal-3116	1	71	of	of	ADP
american_scientific_journal-3116	1	72	education	education	NOUN
american_scientific_journal-3116	1	73	,	,	PUNCT
american_scientific_journal-3116	1	74	west	west	PROPN
american_scientific_journal-3116	1	75	kordufan	kordufan	PROPN
american_scientific_journal-3116	1	76	university	university	PROPN
american_scientific_journal-3116	1	77	,	,	PUNCT
american_scientific_journal-3116	1	78	alnhoud	alnhoud	ADJ
american_scientific_journal-3116	1	79	city	city	NOUN
american_scientific_journal-3116	1	80	,	,	PUNCT
american_scientific_journal-3116	1	81	sudan	sudan	PROPN
american_scientific_journal-3116	1	82	cdepartment	cdepartment	NOUN
american_scientific_journal-3116	1	83	of	of	ADP
american_scientific_journal-3116	1	84	mathematics	mathematic	NOUN
american_scientific_journal-3116	1	85	and	and	CCONJ
american_scientific_journal-3116	1	86	statistics	statistic	NOUN
american_scientific_journal-3116	1	87	,	,	PUNCT
american_scientific_journal-3116	1	88	faculty	faculty	NOUN
american_scientific_journal-3116	1	89	of	of	ADP
american_scientific_journal-3116	1	90	science	science	NOUN
american_scientific_journal-3116	1	91	,	,	PUNCT
american_scientific_journal-3116	1	92	yobe	yobe	PROPN
american_scientific_journal-3116	1	93	state	state	PROPN
american_scientific_journal-3116	1	94	university	university	PROPN
american_scientific_journal-3116	1	95	,	,	PUNCT
american_scientific_journal-3116	1	96	damaturu	damaturu	NOUN
american_scientific_journal-3116	1	97	,	,	PUNCT
american_scientific_journal-3116	1	98	nigeria	nigeria	PROPN
american_scientific_journal-3116	1	99	aemail	aemail	NOUN
american_scientific_journal-3116	1	100	:	:	PUNCT
american_scientific_journal-3116	1	101	iyibrahimi@gmail.com	iyibrahimi@gmail.com	X
american_scientific_journal-3116	1	102	bemail	bemail	NOUN
american_scientific_journal-3116	1	103	:	:	PUNCT
american_scientific_journal-3116	1	104	sabaya11@gmail.com	sabaya11@gmail.com	X
american_scientific_journal-3116	1	105	cemail	cemail	NOUN
american_scientific_journal-3116	1	106	:	:	PUNCT
american_scientific_journal-3116	1	107	aziz.hamed12@gmail.com	aziz.hamed12@gmail.com	X
american_scientific_journal-3116	1	108	abstract	abstract	VERB
american_scientific_journal-3116	1	109	the	the	DET
american_scientific_journal-3116	1	110	goal	goal	NOUN
american_scientific_journal-3116	1	111	of	of	ADP
american_scientific_journal-3116	1	112	this	this	DET
american_scientific_journal-3116	1	113	paper	paper	NOUN
american_scientific_journal-3116	1	114	is	be	AUX
american_scientific_journal-3116	1	115	to	to	PART
american_scientific_journal-3116	1	116	present	present	VERB
american_scientific_journal-3116	1	117	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	1	118	system	system	NOUN
american_scientific_journal-3116	1	119	mechanics	mechanic	NOUN
american_scientific_journal-3116	1	120	on	on	ADP
american_scientific_journal-3116	1	121	(	(	PUNCT
american_scientific_journal-3116	1	122	2,0)-jet	2,0)-jet	NUM
american_scientific_journal-3116	1	123	bundles	bundle	NOUN
american_scientific_journal-3116	1	124	.	.	PUNCT
american_scientific_journal-3116	2	1	in	in	ADP
american_scientific_journal-3116	2	2	conclusion	conclusion	NOUN
american_scientific_journal-3116	2	3	,	,	PUNCT
american_scientific_journal-3116	2	4	some	some	DET
american_scientific_journal-3116	2	5	differential	differential	VERB
american_scientific_journal-3116	2	6	geometrical	geometrical	ADJ
american_scientific_journal-3116	2	7	and	and	CCONJ
american_scientific_journal-3116	2	8	physical	physical	ADJ
american_scientific_journal-3116	2	9	results	result	NOUN
american_scientific_journal-3116	2	10	on	on	ADP
american_scientific_journal-3116	2	11	the	the	DET
american_scientific_journal-3116	2	12	related	relate	VERB
american_scientific_journal-3116	2	13	mechanic	mechanic	ADJ
american_scientific_journal-3116	2	14	systems	system	NOUN
american_scientific_journal-3116	2	15	have	have	AUX
american_scientific_journal-3116	2	16	been	be	AUX
american_scientific_journal-3116	2	17	given	give	VERB
american_scientific_journal-3116	2	18	.	.	PUNCT
american_scientific_journal-3116	3	1	keywords	keyword	NOUN
american_scientific_journal-3116	3	2	:	:	PUNCT
american_scientific_journal-3116	3	3	jet	jet	NOUN
american_scientific_journal-3116	3	4	bundle	bundle	NOUN
american_scientific_journal-3116	3	5	;	;	PUNCT
american_scientific_journal-3116	3	6	holomorphic	holomorphic	ADJ
american_scientific_journal-3116	3	7	bundle	bundle	NOUN
american_scientific_journal-3116	3	8	;	;	PUNCT
american_scientific_journal-3116	3	9	complex	complex	ADJ
american_scientific_journal-3116	3	10	,	,	PUNCT
american_scientific_journal-3116	3	11	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	3	12	dynamics	dynamic	NOUN
american_scientific_journal-3116	3	13	.	.	PUNCT
american_scientific_journal-3116	4	1	1	1	X
american_scientific_journal-3116	4	2	.	.	X
american_scientific_journal-3116	4	3	introduction	introduction	NOUN
american_scientific_journal-3116	4	4	it	it	PRON
american_scientific_journal-3116	4	5	is	be	AUX
american_scientific_journal-3116	4	6	well	well	ADV
american_scientific_journal-3116	4	7	known	know	VERB
american_scientific_journal-3116	4	8	that	that	SCONJ
american_scientific_journal-3116	4	9	the	the	DET
american_scientific_journal-3116	4	10	dynamics	dynamic	NOUN
american_scientific_journal-3116	4	11	of	of	ADP
american_scientific_journal-3116	4	12	lagrangian	lagrangian	ADJ
american_scientific_journal-3116	4	13	formalisms	formalism	NOUN
american_scientific_journal-3116	4	14	is	be	AUX
american_scientific_journal-3116	4	15	characterized	characterize	VERB
american_scientific_journal-3116	4	16	by	by	ADP
american_scientific_journal-3116	4	17	a	a	DET
american_scientific_journal-3116	4	18	suitable	suitable	ADJ
american_scientific_journal-3116	4	19	vector	vector	NOUN
american_scientific_journal-3116	4	20	field	field	NOUN
american_scientific_journal-3116	4	21	defined	define	VERB
american_scientific_journal-3116	4	22	on	on	ADP
american_scientific_journal-3116	4	23	the	the	DET
american_scientific_journal-3116	4	24	tangent	tangent	NOUN
american_scientific_journal-3116	4	25	and	and	CCONJ
american_scientific_journal-3116	4	26	cotangent	cotangent	NOUN
american_scientific_journal-3116	4	27	bundles	bundle	NOUN
american_scientific_journal-3116	4	28	which	which	PRON
american_scientific_journal-3116	4	29	are	be	AUX
american_scientific_journal-3116	4	30	phase	phase	NOUN
american_scientific_journal-3116	4	31	-	-	PUNCT
american_scientific_journal-3116	4	32	spaces	space	NOUN
american_scientific_journal-3116	4	33	of	of	ADP
american_scientific_journal-3116	4	34	velocities	velocity	NOUN
american_scientific_journal-3116	4	35	and	and	CCONJ
american_scientific_journal-3116	4	36	momentum	momentum	NOUN
american_scientific_journal-3116	4	37	of	of	ADP
american_scientific_journal-3116	4	38	a	a	DET
american_scientific_journal-3116	4	39	given	give	VERB
american_scientific_journal-3116	4	40	configuration	configuration	NOUN
american_scientific_journal-3116	4	41	manifold	manifold	NOUN
american_scientific_journal-3116	4	42	.	.	PUNCT
american_scientific_journal-3116	5	1	if	if	SCONJ
american_scientific_journal-3116	5	2	𝓜𝓜	𝓜𝓜	PROPN
american_scientific_journal-3116	5	3	is	be	AUX
american_scientific_journal-3116	5	4	an	an	DET
american_scientific_journal-3116	5	5	m	m	ADJ
american_scientific_journal-3116	5	6	-	-	ADJ
american_scientific_journal-3116	5	7	dimensional	dimensional	ADJ
american_scientific_journal-3116	5	8	configuration	configuration	NOUN
american_scientific_journal-3116	5	9	manifold	manifold	NOUN
american_scientific_journal-3116	5	10	[	[	X
american_scientific_journal-3116	5	11	6	6	NUM
american_scientific_journal-3116	5	12	]	]	PUNCT
american_scientific_journal-3116	5	13	.	.	PUNCT
american_scientific_journal-3116	6	1	if	if	SCONJ
american_scientific_journal-3116	6	2	𝐇𝐇:𝐓𝐓∗𝓜𝓜⟶𝐑𝐑	𝐇𝐇:𝐓𝐓∗𝓜𝓜⟶𝐑𝐑	PROPN
american_scientific_journal-3116	6	3	is	be	AUX
american_scientific_journal-3116	6	4	a	a	DET
american_scientific_journal-3116	6	5	regular	regular	ADJ
american_scientific_journal-3116	6	6	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	6	7	function	function	NOUN
american_scientific_journal-3116	6	8	then	then	ADV
american_scientific_journal-3116	6	9	there	there	PRON
american_scientific_journal-3116	6	10	is	be	VERB
american_scientific_journal-3116	6	11	a	a	DET
american_scientific_journal-3116	6	12	unique	unique	ADJ
american_scientific_journal-3116	6	13	vector	vector	NOUN
american_scientific_journal-3116	6	14	field	field	NOUN
american_scientific_journal-3116	6	15	𝒁𝒁𝑯𝑯	𝒁𝒁𝑯𝑯	PROPN
american_scientific_journal-3116	6	16	on	on	ADP
american_scientific_journal-3116	6	17	cotangent	cotangent	NOUN
american_scientific_journal-3116	6	18	bundle	bundle	NOUN
american_scientific_journal-3116	6	19	𝐓𝐓∗𝓜𝓜	𝐓𝐓∗𝓜𝓜	PROPN
american_scientific_journal-3116	6	20	such	such	ADJ
american_scientific_journal-3116	6	21	that	that	SCONJ
american_scientific_journal-3116	6	22	dynamical	dynamical	ADJ
american_scientific_journal-3116	6	23	equations	equation	NOUN
american_scientific_journal-3116	6	24	𝐢𝐢𝒁𝒁𝐇𝐇𝛟𝛟	𝐢𝐢𝒁𝒁𝐇𝐇𝛟𝛟	VERB
american_scientific_journal-3116	6	25	=	=	SYM
american_scientific_journal-3116	6	26	𝐝𝐝𝐇𝐇	𝐝𝐝𝐇𝐇	X
american_scientific_journal-3116	6	27	(	(	PUNCT
american_scientific_journal-3116	6	28	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	6	29	)	)	PUNCT
american_scientific_journal-3116	6	30	where	where	SCONJ
american_scientific_journal-3116	6	31	𝛟𝛟	𝛟𝛟	AUX
american_scientific_journal-3116	6	32	is	be	AUX
american_scientific_journal-3116	6	33	the	the	DET
american_scientific_journal-3116	6	34	symplectic	symplectic	ADJ
american_scientific_journal-3116	6	35	form	form	NOUN
american_scientific_journal-3116	6	36	and	and	CCONJ
american_scientific_journal-3116	6	37	𝑯𝑯	𝑯𝑯	PROPN
american_scientific_journal-3116	6	38	stands	stand	VERB
american_scientific_journal-3116	6	39	for	for	ADP
american_scientific_journal-3116	6	40	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	6	41	function	function	NOUN
american_scientific_journal-3116	6	42	.	.	PUNCT
american_scientific_journal-3116	7	1	the	the	DET
american_scientific_journal-3116	7	2	paths	path	NOUN
american_scientific_journal-3116	7	3	of	of	ADP
american_scientific_journal-3116	7	4	the	the	DET
american_scientific_journal-3116	7	5	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	7	6	vector	vector	NOUN
american_scientific_journal-3116	7	7	field	field	NOUN
american_scientific_journal-3116	7	8	𝒁𝒁𝐇𝐇	𝒁𝒁𝐇𝐇	PROPN
american_scientific_journal-3116	7	9	are	be	AUX
american_scientific_journal-3116	7	10	the	the	DET
american_scientific_journal-3116	7	11	solutions	solution	NOUN
american_scientific_journal-3116	7	12	of	of	ADP
american_scientific_journal-3116	7	13	the	the	DET
american_scientific_journal-3116	7	14	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	7	15	equations	equation	NOUN
american_scientific_journal-3116	7	16	shown	show	VERB
american_scientific_journal-3116	7	17	by	by	ADP
american_scientific_journal-3116	7	18	𝒅𝒅𝒒𝒒𝒊𝒊	𝒅𝒅𝒒𝒒𝒊𝒊	ADJ
american_scientific_journal-3116	7	19	𝒅𝒅𝒅𝒅	𝒅𝒅𝒅𝒅	NOUN
american_scientific_journal-3116	7	20	=	=	PROPN
american_scientific_journal-3116	7	21	𝝏𝝏𝑯𝑯	𝝏𝝏𝑯𝑯	PROPN
american_scientific_journal-3116	7	22	𝝏𝝏𝒑𝒑𝒊𝒊	𝝏𝝏𝒑𝒑𝒊𝒊	NOUN
american_scientific_journal-3116	7	23	,	,	PUNCT
american_scientific_journal-3116	7	24	𝒅𝒅𝒑𝒑𝒊𝒊	𝒅𝒅𝒑𝒑𝒊𝒊	PROPN
american_scientific_journal-3116	7	25	𝒅𝒅𝒅𝒅	𝒅𝒅𝒅𝒅	NOUN
american_scientific_journal-3116	7	26	=	=	PUNCT
american_scientific_journal-3116	8	1	𝝏𝝏𝑯𝑯	𝝏𝝏𝑯𝑯	PROPN
american_scientific_journal-3116	8	2	𝝏𝝏𝒒𝒒𝒊𝒊	𝝏𝝏𝒒𝒒𝒊𝒊	ADV
american_scientific_journal-3116	8	3	(	(	PUNCT
american_scientific_journal-3116	8	4	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-3116	8	5	)	)	PUNCT
american_scientific_journal-3116	8	6	-----------------------------------------------------------------------	-----------------------------------------------------------------------	PUNCT
american_scientific_journal-3116	9	1	*	*	PUNCT
american_scientific_journal-3116	9	2	corresponding	correspond	VERB
american_scientific_journal-3116	9	3	author	author	NOUN
american_scientific_journal-3116	9	4	.	.	PUNCT
american_scientific_journal-3116	10	1	http://asrjetsjournal.org/	http://asrjetsjournal.org/	PROPN
american_scientific_journal-3116	10	2	american	american	PROPN
american_scientific_journal-3116	10	3	scientific	scientific	PROPN
american_scientific_journal-3116	10	4	research	research	NOUN
american_scientific_journal-3116	10	5	journal	journal	NOUN
american_scientific_journal-3116	10	6	for	for	ADP
american_scientific_journal-3116	10	7	engineering	engineering	NOUN
american_scientific_journal-3116	10	8	,	,	PUNCT
american_scientific_journal-3116	10	9	technology	technology	NOUN
american_scientific_journal-3116	10	10	,	,	PUNCT
american_scientific_journal-3116	10	11	and	and	CCONJ
american_scientific_journal-3116	10	12	sciences	science	NOUN
american_scientific_journal-3116	10	13	(	(	PUNCT
american_scientific_journal-3116	10	14	asrjets	asrjet	NOUN
american_scientific_journal-3116	10	15	)	)	PUNCT
american_scientific_journal-3116	10	16	(	(	PUNCT
american_scientific_journal-3116	10	17	2017	2017	NUM
american_scientific_journal-3116	10	18	)	)	PUNCT
american_scientific_journal-3116	10	19	volume	volume	NOUN
american_scientific_journal-3116	10	20	34	34	NUM
american_scientific_journal-3116	10	21	,	,	PUNCT
american_scientific_journal-3116	10	22	no	no	DET
american_scientific_journal-3116	10	23	1	1	NUM
american_scientific_journal-3116	10	24	,	,	PUNCT
american_scientific_journal-3116	10	25	pp	pp	ADJ
american_scientific_journal-3116	10	26	138	138	NUM
american_scientific_journal-3116	10	27	-	-	SYM
american_scientific_journal-3116	10	28	143	143	NUM
american_scientific_journal-3116	10	29	139	139	NUM
american_scientific_journal-3116	10	30	where	where	SCONJ
american_scientific_journal-3116	10	31	𝒒𝒒𝒊𝒊	𝒒𝒒𝒊𝒊	ADJ
american_scientific_journal-3116	10	32	and	and	CCONJ
american_scientific_journal-3116	10	33	(	(	PUNCT
american_scientific_journal-3116	10	34	𝒒𝒒𝒊𝒊	𝒒𝒒𝒊𝒊	PROPN
american_scientific_journal-3116	10	35	,	,	PUNCT
american_scientific_journal-3116	11	1	𝒑𝒑𝒊𝒊),𝟏𝟏	𝒑𝒑𝒊𝒊),𝟏𝟏	X
american_scientific_journal-3116	11	2	≤	≤	NUM
american_scientific_journal-3116	11	3	𝒊𝒊	𝒊𝒊	ADP
american_scientific_journal-3116	11	4	≤	≤	NUM
american_scientific_journal-3116	11	5	𝒎𝒎	𝒎𝒎	PROPN
american_scientific_journal-3116	11	6	,	,	PUNCT
american_scientific_journal-3116	11	7	are	be	AUX
american_scientific_journal-3116	11	8	coordinates	coordinate	NOUN
american_scientific_journal-3116	11	9	of	of	ADP
american_scientific_journal-3116	11	10	𝓜𝓜	𝓜𝓜	PROPN
american_scientific_journal-3116	11	11	and	and	CCONJ
american_scientific_journal-3116	11	12	𝐓𝐓∗𝓜𝓜	𝐓𝐓∗𝓜𝓜	PROPN
american_scientific_journal-3116	11	13	.	.	PUNCT
american_scientific_journal-3116	12	1	the	the	DET
american_scientific_journal-3116	12	2	triple	triple	ADJ
american_scientific_journal-3116	12	3	(	(	PUNCT
american_scientific_journal-3116	12	4	𝐓𝐓∗𝓜𝓜,𝝓𝝓,𝑯𝑯	𝐓𝐓∗𝓜𝓜,𝝓𝝓,𝑯𝑯	NOUN
american_scientific_journal-3116	12	5	)	)	PUNCT
american_scientific_journal-3116	12	6	,	,	PUNCT
american_scientific_journal-3116	12	7	is	be	AUX
american_scientific_journal-3116	12	8	called	call	VERB
american_scientific_journal-3116	12	9	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	12	10	system	system	NOUN
american_scientific_journal-3116	12	11	on	on	ADP
american_scientific_journal-3116	12	12	the	the	DET
american_scientific_journal-3116	12	13	cotangent	cotangent	NOUN
american_scientific_journal-3116	12	14	bundle	bundle	NOUN
american_scientific_journal-3116	12	15	𝐓𝐓∗𝓜𝓜	𝐓𝐓∗𝓜𝓜	PROPN
american_scientific_journal-3116	12	16	with	with	ADP
american_scientific_journal-3116	12	17	symplectic	symplectic	ADJ
american_scientific_journal-3116	12	18	form	form	NOUN
american_scientific_journal-3116	13	1	𝝓𝝓.	𝝓𝝓.	PROPN
american_scientific_journal-3116	13	2	let	let	VERB
american_scientific_journal-3116	13	3	𝐓𝐓∗𝓜𝓜	𝐓𝐓∗𝓜𝓜	X
american_scientific_journal-3116	13	4	be	be	AUX
american_scientific_journal-3116	13	5	symplectic	symplectic	ADJ
american_scientific_journal-3116	13	6	manifold	manifold	ADJ
american_scientific_journal-3116	13	7	with	with	ADP
american_scientific_journal-3116	13	8	closed	closed	ADJ
american_scientific_journal-3116	13	9	symplectic	symplectic	ADJ
american_scientific_journal-3116	13	10	form	form	NOUN
american_scientific_journal-3116	13	11	𝝓𝝓.	𝝓𝝓.	PROPN
american_scientific_journal-3116	13	12	in	in	ADP
american_scientific_journal-3116	13	13	this	this	DET
american_scientific_journal-3116	13	14	paper	paper	NOUN
american_scientific_journal-3116	13	15	related	relate	VERB
american_scientific_journal-3116	13	16	to	to	ADP
american_scientific_journal-3116	13	17	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	13	18	equations	equation	NOUN
american_scientific_journal-3116	13	19	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	13	20	system	system	NOUN
american_scientific_journal-3116	13	21	mechanics	mechanic	NOUN
american_scientific_journal-3116	13	22	on	on	ADP
american_scientific_journal-3116	13	23	(	(	PUNCT
american_scientific_journal-3116	13	24	2,0)-jet	2,0)-jet	NUM
american_scientific_journal-3116	13	25	bundles	bundle	NOUN
american_scientific_journal-3116	13	26	.	.	PUNCT
american_scientific_journal-3116	14	1	2	2	X
american_scientific_journal-3116	14	2	.	.	X
american_scientific_journal-3116	14	3	the	the	DET
american_scientific_journal-3116	14	4	geometry	geometry	NOUN
american_scientific_journal-3116	14	5	of	of	ADP
american_scientific_journal-3116	14	6	holomorphic	holomorphic	ADJ
american_scientific_journal-3116	14	7	𝑱𝑱(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝑱𝑱(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	14	8	bundles	bundle	VERB
american_scientific_journal-3116	14	9	2.1	2.1	NUM
american_scientific_journal-3116	14	10	definition	definition	NOUN
american_scientific_journal-3116	14	11	let	let	VERB
american_scientific_journal-3116	14	12	𝓜𝓜	𝓜𝓜	PROPN
american_scientific_journal-3116	14	13	be	be	AUX
american_scientific_journal-3116	14	14	a	a	DET
american_scientific_journal-3116	14	15	complex	complex	ADJ
american_scientific_journal-3116	14	16	manifold	manifold	NOUN
american_scientific_journal-3116	14	17	,	,	PUNCT
american_scientific_journal-3116	14	18	𝐓𝐓𝐜𝐜𝓜𝓜=	𝐓𝐓𝐜𝐜𝓜𝓜=	PROPN
american_scientific_journal-3116	14	19	�	�	PROPN
american_scientific_journal-3116	14	20	́	́	PROPN
american_scientific_journal-3116	14	21	�	�	PROPN
american_scientific_journal-3116	14	22	𝐓𝓜𝓜⨁	𝐓𝓜𝓜⨁	PROPN
american_scientific_journal-3116	14	23	�	�	PROPN
american_scientific_journal-3116	14	24	́́	́́	PROPN
american_scientific_journal-3116	14	25	�	�	PROPN
american_scientific_journal-3116	14	26	𝐓𝓜𝓜	𝐓𝓜𝓜	PROPN
american_scientific_journal-3116	14	27	,	,	PUNCT
american_scientific_journal-3116	14	28	the	the	DET
american_scientific_journal-3116	14	29	complexified	complexifie	VERB
american_scientific_journal-3116	14	30	tangent	tangent	NOUN
american_scientific_journal-3116	14	31	bundle	bundle	NOUN
american_scientific_journal-3116	14	32	of	of	ADP
american_scientific_journal-3116	14	33	(	(	PUNCT
american_scientific_journal-3116	14	34	𝟏𝟏,𝟎𝟎)and	𝟏𝟏,𝟎𝟎)and	X
american_scientific_journal-3116	14	35	of	of	ADP
american_scientific_journal-3116	14	36	(	(	PUNCT
american_scientific_journal-3116	14	37	𝟎𝟎,𝟏𝟏)type	𝟎𝟎,𝟏𝟏)type	ADJ
american_scientific_journal-3116	14	38	vectors	vector	NOUN
american_scientific_journal-3116	14	39	,	,	PUNCT
american_scientific_journal-3116	14	40	respectively	respectively	ADV
american_scientific_journal-3116	14	41	.	.	PUNCT
american_scientific_journal-3116	15	1	if	if	SCONJ
american_scientific_journal-3116	15	2	(	(	PUNCT
american_scientific_journal-3116	15	3	𝐳𝐳𝐢𝐢)𝐢𝐢=𝟏𝟏;𝐧𝐧	𝐳𝐳𝐢𝐢)𝐢𝐢=𝟏𝟏;𝐧𝐧	PROPN
american_scientific_journal-3116	15	4	�	�	PROPN
american_scientific_journal-3116	15	5	�	�	PROPN
american_scientific_journal-3116	15	6	�	�	PROPN
american_scientific_journal-3116	15	7	�	�	PROPN
american_scientific_journal-3116	15	8	�	�	PROPN
american_scientific_journal-3116	15	9	are	be	AUX
american_scientific_journal-3116	15	10	complex	complex	ADJ
american_scientific_journal-3116	15	11	coordinates	coordinate	NOUN
american_scientific_journal-3116	15	12	,	,	PUNCT
american_scientific_journal-3116	15	13	then	then	ADV
american_scientific_journal-3116	15	14	𝐓𝐓𝐳𝐳́	𝐓𝐓𝐳𝐳́	ADJ
american_scientific_journal-3116	15	15	𝓜𝓜	𝓜𝓜	PROPN
american_scientific_journal-3116	15	16	is	be	AUX
american_scientific_journal-3116	15	17	spanned	span	VERB
american_scientific_journal-3116	15	18	by	by	ADP
american_scientific_journal-3116	15	19	�	�	PROPN
american_scientific_journal-3116	15	20	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	15	21	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	15	22	�	�	PROPN
american_scientific_journal-3116	15	23	𝐢𝐢=𝟏𝟏;𝐧𝐧	𝐢𝐢=𝟏𝟏;𝐧𝐧	PROPN
american_scientific_journal-3116	15	24	�	�	PROPN
american_scientific_journal-3116	15	25	�	�	PROPN
american_scientific_journal-3116	15	26	�	�	PROPN
american_scientific_journal-3116	15	27	�	�	PROPN
american_scientific_journal-3116	15	28	�	�	PROPN
american_scientific_journal-3116	15	29	and	and	CCONJ
american_scientific_journal-3116	15	30	�	�	PROPN
american_scientific_journal-3116	15	31	́́	́́	NOUN
american_scientific_journal-3116	15	32	�	�	PROPN
american_scientific_journal-3116	15	33	𝐓𝐳𝐳𝓜𝓜	𝐓𝐳𝐳𝓜𝓜	PROPN
american_scientific_journal-3116	15	34	is	be	AUX
american_scientific_journal-3116	15	35	spanned	span	VERB
american_scientific_journal-3116	15	36	by	by	ADP
american_scientific_journal-3116	15	37	�	�	PROPN
american_scientific_journal-3116	15	38	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	16	1	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	16	2	�	�	PROPN
american_scientific_journal-3116	16	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	16	4	�	�	PROPN
american_scientific_journal-3116	16	5	𝐢𝐢=𝟏𝟏;𝐧𝐧	𝐢𝐢=𝟏𝟏;𝐧𝐧	PROPN
american_scientific_journal-3116	16	6	�	�	PROPN
american_scientific_journal-3116	16	7	�	�	PROPN
american_scientific_journal-3116	16	8	�	�	PROPN
american_scientific_journal-3116	16	9	�	�	PROPN
american_scientific_journal-3116	16	10	�	�	PROPN
american_scientific_journal-3116	16	11	moreover	moreover	ADV
american_scientific_journal-3116	16	12	�	�	PROPN
american_scientific_journal-3116	16	13	́	́	NOUN
american_scientific_journal-3116	16	14	�	�	NOUN
american_scientific_journal-3116	16	15	𝐓𝓜𝓜	𝐓𝓜𝓜	PROPN
american_scientific_journal-3116	16	16	is	be	AUX
american_scientific_journal-3116	16	17	a	a	DET
american_scientific_journal-3116	16	18	holomorphic	holomorphic	ADJ
american_scientific_journal-3116	16	19	vector	vector	NOUN
american_scientific_journal-3116	16	20	bundle	bundle	NOUN
american_scientific_journal-3116	16	21	let	let	VERB
american_scientific_journal-3116	16	22	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	16	23	=	=	SYM
american_scientific_journal-3116	16	24	(	(	PUNCT
american_scientific_journal-3116	16	25	𝐳𝐳𝐢𝐢	𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	16	26	,	,	PUNCT
american_scientific_journal-3116	16	27	𝐗𝐗𝐢𝐢	𝐗𝐗𝐢𝐢	PROPN
american_scientific_journal-3116	16	28	=	=	SYM
american_scientific_journal-3116	16	29	𝛈𝛈𝐢𝐢(𝟏𝟏	𝛈𝛈𝐢𝐢(𝟏𝟏	PROPN
american_scientific_journal-3116	16	30	)	)	PUNCT
american_scientific_journal-3116	17	1	=	=	SYM
american_scientific_journal-3116	17	2	𝐝𝐝𝐳𝐳𝐢𝐢	𝐝𝐝𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	17	3	𝐝𝐝𝐝𝐝	𝐝𝐝𝐝𝐝	NOUN
american_scientific_journal-3116	17	4	,	,	PUNCT
american_scientific_journal-3116	17	5	𝐘𝐘𝐢𝐢	𝐘𝐘𝐢𝐢	PROPN
american_scientific_journal-3116	17	6	=	=	SYM
american_scientific_journal-3116	17	7	𝛈𝛈𝐢𝐢(𝟐𝟐	𝛈𝛈𝐢𝐢(𝟐𝟐	ADJ
american_scientific_journal-3116	17	8	)	)	PUNCT
american_scientific_journal-3116	17	9	=	=	SYM
american_scientific_journal-3116	18	1	𝐝𝐝𝟐𝟐𝐳𝐳𝐢𝐢	𝐝𝐝𝟐𝟐𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	18	2	𝐝𝐝𝐝𝐝𝟐𝟐	𝐝𝐝𝐝𝐝𝟐𝟐	NOUN
american_scientific_journal-3116	18	3	)	)	PUNCT
american_scientific_journal-3116	18	4	be	be	AUX
american_scientific_journal-3116	18	5	local	local	ADJ
american_scientific_journal-3116	18	6	complex	complex	ADJ
american_scientific_journal-3116	18	7	coordinates	coordinate	NOUN
american_scientific_journal-3116	18	8	in	in	ADP
american_scientific_journal-3116	18	9	the	the	DET
american_scientific_journal-3116	18	10	chart	chart	NOUN
american_scientific_journal-3116	18	11	(	(	PUNCT
american_scientific_journal-3116	18	12	𝐔𝐔	𝐔𝐔	NOUN
american_scientific_journal-3116	18	13	;	;	PUNCT
american_scientific_journal-3116	18	14	𝛙𝛙	𝛙𝛙	NUM
american_scientific_journal-3116	18	15	)	)	PUNCT
american_scientific_journal-3116	18	16	from	from	ADP
american_scientific_journal-3116	18	17	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	18	18	;	;	PUNCT
american_scientific_journal-3116	18	19	we	we	PRON
american_scientific_journal-3116	18	20	shall	shall	AUX
american_scientific_journal-3116	18	21	the	the	DET
american_scientific_journal-3116	18	22	following	follow	VERB
american_scientific_journal-3116	18	23	notations	notation	NOUN
american_scientific_journal-3116	18	24	[	[	X
american_scientific_journal-3116	18	25	1	1	NUM
american_scientific_journal-3116	18	26	]	]	PUNCT
american_scientific_journal-3116	18	27	.	.	PUNCT
american_scientific_journal-3116	19	1	𝒁𝒁	𝒁𝒁	PROPN
american_scientific_journal-3116	19	2	=	=	SYM
american_scientific_journal-3116	19	3	�	�	PROPN
american_scientific_journal-3116	19	4	𝒛𝒛𝒊𝒊,𝒙𝒙𝒊𝒊	𝒛𝒛𝒊𝒊,𝒙𝒙𝒊𝒊	NOUN
american_scientific_journal-3116	19	5	=	=	SYM
american_scientific_journal-3116	19	6	𝜼𝜼𝒊𝒊(𝟏𝟏),𝒚𝒚𝒊𝒊	𝜼𝜼𝒊𝒊(𝟏𝟏),𝒚𝒚𝒊𝒊	NUM
american_scientific_journal-3116	19	7	=	=	SYM
american_scientific_journal-3116	19	8	𝜼𝜼𝒊𝒊(𝟐𝟐	𝜼𝜼𝒊𝒊(𝟐𝟐	NOUN
american_scientific_journal-3116	19	9	)	)	PUNCT
american_scientific_journal-3116	19	10	�	�	PROPN
american_scientific_journal-3116	19	11	=	=	SYM
american_scientific_journal-3116	19	12	(	(	PUNCT
american_scientific_journal-3116	19	13	𝒛𝒛𝒊𝒊,𝑿𝑿𝒊𝒊,𝒀𝒀𝒊𝒊	𝒛𝒛𝒊𝒊,𝑿𝑿𝒊𝒊,𝒀𝒀𝒊𝒊	PROPN
american_scientific_journal-3116	19	14	)	)	PUNCT
american_scientific_journal-3116	19	15	(	(	PUNCT
american_scientific_journal-3116	19	16	𝟑𝟑	𝟑𝟑	NUM
american_scientific_journal-3116	19	17	)	)	PUNCT
american_scientific_journal-3116	19	18	2.2	2.2	NUM
american_scientific_journal-3116	19	19	theorem	theorem	VERB
american_scientific_journal-3116	19	20	a	a	DET
american_scientific_journal-3116	19	21	local	local	ADJ
american_scientific_journal-3116	19	22	basis	basis	NOUN
american_scientific_journal-3116	19	23	in	in	ADP
american_scientific_journal-3116	19	24	�	�	PROPN
american_scientific_journal-3116	19	25	́	́	NOUN
american_scientific_journal-3116	19	26	�	�	PROPN
american_scientific_journal-3116	19	27	𝐓𝐳𝐳	𝐓𝐳𝐳	PROPN
american_scientific_journal-3116	19	28	�	�	PROPN
american_scientific_journal-3116	19	29	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	19	30	�	�	PROPN
american_scientific_journal-3116	19	31	is	be	AUX
american_scientific_journal-3116	19	32	�	�	PROPN
american_scientific_journal-3116	19	33	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	19	34	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	ADJ
american_scientific_journal-3116	19	35	,	,	PUNCT
american_scientific_journal-3116	19	36	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	19	37	𝛛𝛛𝐱𝐱𝐢𝐢𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢𝐢𝐢	NOUN
american_scientific_journal-3116	19	38	,	,	PUNCT
american_scientific_journal-3116	19	39	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	19	40	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	19	41	�	�	PROPN
american_scientific_journal-3116	19	42	𝐢𝐢=𝟏𝟏;𝐧𝐧	𝐢𝐢=𝟏𝟏;𝐧𝐧	PROPN
american_scientific_journal-3116	19	43	�	�	PROPN
american_scientific_journal-3116	19	44	�	�	PROPN
american_scientific_journal-3116	19	45	�	�	PROPN
american_scientific_journal-3116	19	46	�	�	PROPN
american_scientific_journal-3116	19	47	�	�	PROPN
american_scientific_journal-3116	19	48	and	and	CCONJ
american_scientific_journal-3116	19	49	in	in	ADP
american_scientific_journal-3116	19	50	�	�	PROPN
american_scientific_journal-3116	19	51	́́	́́	PROPN
american_scientific_journal-3116	19	52	�	�	PROPN
american_scientific_journal-3116	19	53	𝐓𝐳𝐳	𝐓𝐳𝐳	PROPN
american_scientific_journal-3116	19	54	�	�	PROPN
american_scientific_journal-3116	19	55	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	19	56	�	�	PROPN
american_scientific_journal-3116	19	57	theirs	theirs	PROPN
american_scientific_journal-3116	19	58	conjugates	conjugate	VERB
american_scientific_journal-3116	19	59	�	�	PROPN
american_scientific_journal-3116	19	60	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	19	61	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	19	62	�	�	PROPN
american_scientific_journal-3116	19	63	,	,	PUNCT
american_scientific_journal-3116	19	64	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	65	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	19	66	�	�	SYM
american_scientific_journal-3116	19	67	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	68	,	,	PUNCT
american_scientific_journal-3116	19	69	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	19	70	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	19	71	�	�	PROPN
american_scientific_journal-3116	19	72	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	73	�	�	PROPN
american_scientific_journal-3116	19	74	𝐢𝐢=𝟏𝟏;𝐧𝐧	𝐢𝐢=𝟏𝟏;𝐧𝐧	PROPN
american_scientific_journal-3116	19	75	�	�	PROPN
american_scientific_journal-3116	19	76	�	�	PROPN
american_scientific_journal-3116	19	77	�	�	PROPN
american_scientific_journal-3116	19	78	�	�	PROPN
american_scientific_journal-3116	19	79	�	�	PROPN
american_scientific_journal-3116	19	80	:	:	PUNCT
american_scientific_journal-3116	19	81	due	due	ADP
american_scientific_journal-3116	19	82	to	to	ADP
american_scientific_journal-3116	19	83	holomorphic	holomorphic	ADJ
american_scientific_journal-3116	19	84	changes	change	NOUN
american_scientific_journal-3116	19	85	on	on	ADP
american_scientific_journal-3116	19	86	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	19	87	,	,	PUNCT
american_scientific_journal-3116	19	88	that	that	PRON
american_scientific_journal-3116	19	89	is	be	AUX
american_scientific_journal-3116	19	90	all	all	PRON
american_scientific_journal-3116	19	91	of	of	ADP
american_scientific_journal-3116	19	92	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	93	�	�	NOUN
american_scientific_journal-3116	19	94	́	́	NOUN
american_scientific_journal-3116	19	95	�	�	NOUN
american_scientific_journal-3116	19	96	𝐳	𝐳	PROPN
american_scientific_journal-3116	19	97	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	98	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	PROPN
american_scientific_journal-3116	19	99	�	�	PROPN
american_scientific_journal-3116	19	100	,	,	PUNCT
american_scientific_journal-3116	19	101	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	102	�	�	PROPN
american_scientific_journal-3116	19	103	́	́	NOUN
american_scientific_journal-3116	19	104	�	�	PROPN
american_scientific_journal-3116	19	105	𝐱	𝐱	PROPN
american_scientific_journal-3116	19	106	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	107	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	PROPN
american_scientific_journal-3116	19	108	�	�	PROPN
american_scientific_journal-3116	19	109	,	,	PUNCT
american_scientific_journal-3116	19	110	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	111	�	�	NOUN
american_scientific_journal-3116	19	112	́	́	NOUN
american_scientific_journal-3116	19	113	�	�	PROPN
american_scientific_journal-3116	19	114	𝐲	𝐲	ADP
american_scientific_journal-3116	19	115	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	116	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	PROPN
american_scientific_journal-3116	19	117	�	�	PROPN
american_scientific_journal-3116	19	118	,	,	PUNCT
american_scientific_journal-3116	19	119	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	120	�	�	PROPN
american_scientific_journal-3116	19	121	́	́	NOUN
american_scientific_journal-3116	19	122	�	�	PROPN
american_scientific_journal-3116	19	123	𝐱	𝐱	PROPN
american_scientific_journal-3116	19	124	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	125	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	PROPN
american_scientific_journal-3116	19	126	�	�	PROPN
american_scientific_journal-3116	19	127	,	,	PUNCT
american_scientific_journal-3116	19	128	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	129	�	�	NOUN
american_scientific_journal-3116	19	130	́	́	NOUN
american_scientific_journal-3116	19	131	�	�	PROPN
american_scientific_journal-3116	19	132	𝐲	𝐲	ADP
american_scientific_journal-3116	19	133	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	134	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	PROPN
american_scientific_journal-3116	19	135	�	�	PROPN
american_scientific_journal-3116	19	136	,	,	PUNCT
american_scientific_journal-3116	19	137	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	19	138	�	�	NOUN
american_scientific_journal-3116	19	139	́	́	NOUN
american_scientific_journal-3116	19	140	�	�	PROPN
american_scientific_journal-3116	19	141	𝐲	𝐲	ADP
american_scientific_journal-3116	19	142	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	19	143	𝛛𝛛𝐲𝐲𝐣𝐣	𝛛𝛛𝐲𝐲𝐣𝐣	PROPN
american_scientific_journal-3116	19	144	�	�	PROPN
american_scientific_journal-3116	19	145	j	j	PROPN
american_scientific_journal-3116	19	146	are	be	AUX
american_scientific_journal-3116	19	147	vanishing	vanish	VERB
american_scientific_journal-3116	19	148	,	,	PUNCT
american_scientific_journal-3116	19	149	and	and	CCONJ
american_scientific_journal-3116	19	150	also	also	ADV
american_scientific_journal-3116	19	151	theirs	theirs	PRON
american_scientific_journal-3116	19	152	conjugates	conjugate	NOUN
american_scientific_journal-3116	19	153	,	,	PUNCT
american_scientific_journal-3116	19	154	it	it	PRON
american_scientific_journal-3116	19	155	follows	follow	VERB
american_scientific_journal-3116	19	156	that	that	SCONJ
american_scientific_journal-3116	19	157	local	local	ADJ
american_scientific_journal-3116	19	158	bases	basis	NOUN
american_scientific_journal-3116	19	159	from	from	ADP
american_scientific_journal-3116	19	160	�	�	PROPN
american_scientific_journal-3116	19	161	́	́	NOUN
american_scientific_journal-3116	19	162	�	�	PROPN
american_scientific_journal-3116	19	163	𝐓𝐳𝐳	𝐓𝐳𝐳	PROPN
american_scientific_journal-3116	19	164	�	�	PROPN
american_scientific_journal-3116	19	165	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	19	166	�	�	PROPN
american_scientific_journal-3116	19	167	change	change	NOUN
american_scientific_journal-3116	19	168	w.r.t	w.r.t	NOUN
american_scientific_journal-3116	19	169	.	.	PUNCT
american_scientific_journal-3116	20	1	the	the	DET
american_scientific_journal-3116	20	2	transformations	transformation	NOUN
american_scientific_journal-3116	20	3	by	by	ADP
american_scientific_journal-3116	20	4	the	the	DET
american_scientific_journal-3116	20	5	rules	rule	NOUN
american_scientific_journal-3116	20	6	:	:	PUNCT
american_scientific_journal-3116	20	7	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	8	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	9	=	=	SYM
american_scientific_journal-3116	20	10	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	11	�	�	PROPN
american_scientific_journal-3116	20	12	́	́	NOUN
american_scientific_journal-3116	20	13	�	�	PROPN
american_scientific_journal-3116	20	14	𝐳𝐢𝐢	𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	20	15	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	X
american_scientific_journal-3116	20	16	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	17	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	18	�	�	PROPN
american_scientific_journal-3116	20	19	́	́	NOUN
american_scientific_journal-3116	20	20	�	�	PROPN
american_scientific_journal-3116	20	21	𝐳𝐢𝐢	𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	20	22	+	+	SYM
american_scientific_journal-3116	20	23	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	24	�	�	NOUN
american_scientific_journal-3116	20	25	́	́	NOUN
american_scientific_journal-3116	20	26	�	�	NOUN
american_scientific_journal-3116	20	27	𝐱𝐢𝐢	𝐱𝐢𝐢	VERB
american_scientific_journal-3116	20	28	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NUM
american_scientific_journal-3116	20	29	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	30	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	31	�	�	PROPN
american_scientific_journal-3116	20	32	́	́	NOUN
american_scientific_journal-3116	20	33	�	�	NOUN
american_scientific_journal-3116	20	34	𝐱𝐢𝐢	𝐱𝐢𝐢	VERB
american_scientific_journal-3116	20	35	+	+	CCONJ
american_scientific_journal-3116	20	36	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	37	�	�	NOUN
american_scientific_journal-3116	20	38	́	́	NOUN
american_scientific_journal-3116	20	39	�	�	NOUN
american_scientific_journal-3116	20	40	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	41	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	42	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	43	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	44	�	�	PROPN
american_scientific_journal-3116	20	45	́	́	NOUN
american_scientific_journal-3116	20	46	�	�	PROPN
american_scientific_journal-3116	20	47	𝐲𝐢𝐢	𝐲𝐢𝐢	ADJ
american_scientific_journal-3116	20	48	�	�	PROPN
american_scientific_journal-3116	20	49	�	�	NOUN
american_scientific_journal-3116	20	50	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	51	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	NOUN
american_scientific_journal-3116	20	52	=	=	SYM
american_scientific_journal-3116	20	53	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	54	�	�	PROPN
american_scientific_journal-3116	20	55	́	́	NOUN
american_scientific_journal-3116	20	56	�	�	NOUN
american_scientific_journal-3116	20	57	𝐱𝐢𝐢	𝐱𝐢𝐢	VERB
american_scientific_journal-3116	20	58	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NUM
american_scientific_journal-3116	20	59	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	60	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	61	�	�	PROPN
american_scientific_journal-3116	20	62	́	́	NOUN
american_scientific_journal-3116	20	63	�	�	NOUN
american_scientific_journal-3116	20	64	𝐱𝐢𝐢	𝐱𝐢𝐢	VERB
american_scientific_journal-3116	20	65	+	+	CCONJ
american_scientific_journal-3116	20	66	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	67	�	�	NOUN
american_scientific_journal-3116	20	68	́	́	NOUN
american_scientific_journal-3116	20	69	�	�	NOUN
american_scientific_journal-3116	20	70	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	71	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	72	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	73	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	74	�	�	PROPN
american_scientific_journal-3116	20	75	́	́	NOUN
american_scientific_journal-3116	20	76	�	�	NOUN
american_scientific_journal-3116	20	77	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	78	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	79	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	NOUN
american_scientific_journal-3116	20	80	=	=	SYM
american_scientific_journal-3116	20	81	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	82	�	�	PROPN
american_scientific_journal-3116	20	83	́	́	NOUN
american_scientific_journal-3116	20	84	�	�	NOUN
american_scientific_journal-3116	20	85	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	86	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	87	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	88	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	89	�	�	PROPN
american_scientific_journal-3116	20	90	́	́	NOUN
american_scientific_journal-3116	20	91	�	�	NOUN
american_scientific_journal-3116	20	92	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	93	(	(	PUNCT
american_scientific_journal-3116	20	94	𝟒𝟒	𝟒𝟒	NOUN
american_scientific_journal-3116	20	95	)	)	PUNCT
american_scientific_journal-3116	20	96	infer	infer	NOUN
american_scientific_journal-3116	20	97	that	that	SCONJ
american_scientific_journal-3116	20	98	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	20	99	�	�	NOUN
american_scientific_journal-3116	20	100	́	́	NOUN
american_scientific_journal-3116	20	101	�	�	NOUN
american_scientific_journal-3116	20	102	𝐳	𝐳	DET
american_scientific_journal-3116	20	103	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	20	104	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	105	=	=	SYM
american_scientific_journal-3116	20	106	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	107	�	�	NOUN
american_scientific_journal-3116	20	108	́	́	NOUN
american_scientific_journal-3116	20	109	�	�	NOUN
american_scientific_journal-3116	20	110	𝐱𝐢𝐢	𝐱𝐢𝐢	VERB
american_scientific_journal-3116	20	111	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	NOUN
american_scientific_journal-3116	20	112	=	=	SYM
american_scientific_journal-3116	20	113	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	114	�	�	PROPN
american_scientific_journal-3116	20	115	́	́	NOUN
american_scientific_journal-3116	20	116	�	�	NOUN
american_scientific_journal-3116	20	117	𝐲𝐢𝐢	𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	20	118	𝛛𝛛𝐲𝐲𝐣𝐣	𝛛𝛛𝐲𝐲𝐣𝐣	NOUN
american_scientific_journal-3116	20	119	but	but	CCONJ
american_scientific_journal-3116	20	120	in	in	ADP
american_scientific_journal-3116	20	121	change	change	NOUN
american_scientific_journal-3116	20	122	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	123	�	�	NOUN
american_scientific_journal-3116	20	124	́	́	NOUN
american_scientific_journal-3116	20	125	�	�	NOUN
american_scientific_journal-3116	20	126	𝐳	𝐳	DET
american_scientific_journal-3116	20	127	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	20	128	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	129	=	=	SYM
american_scientific_journal-3116	20	130	𝛛𝛛	𝛛𝛛	NUM
american_scientific_journal-3116	20	131	�	�	NOUN
american_scientific_journal-3116	20	132	́	́	NOUN
american_scientific_journal-3116	20	133	�	�	NOUN
american_scientific_journal-3116	20	134	𝐱𝐢𝐢	𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	20	135	𝛛𝛛𝐱𝐱𝐣𝐣	𝛛𝛛𝐱𝐱𝐣𝐣	NOUN
american_scientific_journal-3116	20	136	contain	contain	VERB
american_scientific_journal-3116	20	137	the	the	DET
american_scientific_journal-3116	20	138	second	second	ADJ
american_scientific_journal-3116	20	139	order	order	NOUN
american_scientific_journal-3116	20	140	derivatives	derivative	NOUN
american_scientific_journal-3116	20	141	of	of	ADP
american_scientific_journal-3116	20	142	�	�	PROPN
american_scientific_journal-3116	20	143	́	́	NOUN
american_scientific_journal-3116	20	144	�	�	NOUN
american_scientific_journal-3116	20	145	𝐳𝐢𝐢.	𝐳𝐢𝐢.	NOUN
american_scientific_journal-3116	20	146	while	while	SCONJ
american_scientific_journal-3116	20	147	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	20	148	�	�	PROPN
american_scientific_journal-3116	20	149	́	́	NOUN
american_scientific_journal-3116	20	150	�	�	PROPN
american_scientific_journal-3116	20	151	𝐱	𝐱	PROPN
american_scientific_journal-3116	20	152	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	20	153	𝛛𝛛𝐳𝐳𝐣𝐣	𝛛𝛛𝐳𝐳𝐣𝐣	NOUN
american_scientific_journal-3116	20	154	contains	contain	VERB
american_scientific_journal-3116	20	155	even	even	ADV
american_scientific_journal-3116	20	156	the	the	DET
american_scientific_journal-3116	20	157	3	3	NUM
american_scientific_journal-3116	20	158	-	-	PUNCT
american_scientific_journal-3116	20	159	th	th	VERB
american_scientific_journal-3116	20	160	derivatives	derivative	NOUN
american_scientific_journal-3116	20	161	of	of	ADP
american_scientific_journal-3116	20	162	�	�	PROPN
american_scientific_journal-3116	20	163	́	́	PROPN
american_scientific_journal-3116	20	164	�	�	PROPN
american_scientific_journal-3116	20	165	𝐳𝐢𝐢	𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	20	166	.	.	PUNCT
american_scientific_journal-3116	21	1	2.3	2.3	NUM
american_scientific_journal-3116	21	2	theorem	theorem	VERB
american_scientific_journal-3116	21	3	american	american	ADJ
american_scientific_journal-3116	21	4	scientific	scientific	ADJ
american_scientific_journal-3116	21	5	research	research	NOUN
american_scientific_journal-3116	21	6	journal	journal	NOUN
american_scientific_journal-3116	21	7	for	for	ADP
american_scientific_journal-3116	21	8	engineering	engineering	NOUN
american_scientific_journal-3116	21	9	,	,	PUNCT
american_scientific_journal-3116	21	10	technology	technology	NOUN
american_scientific_journal-3116	21	11	,	,	PUNCT
american_scientific_journal-3116	21	12	and	and	CCONJ
american_scientific_journal-3116	21	13	sciences	science	NOUN
american_scientific_journal-3116	21	14	(	(	PUNCT
american_scientific_journal-3116	21	15	asrjets	asrjet	NOUN
american_scientific_journal-3116	21	16	)	)	PUNCT
american_scientific_journal-3116	21	17	(	(	PUNCT
american_scientific_journal-3116	21	18	2017	2017	NUM
american_scientific_journal-3116	21	19	)	)	PUNCT
american_scientific_journal-3116	21	20	volume	volume	NOUN
american_scientific_journal-3116	21	21	34	34	NUM
american_scientific_journal-3116	21	22	,	,	PUNCT
american_scientific_journal-3116	21	23	no	no	DET
american_scientific_journal-3116	21	24	1	1	NUM
american_scientific_journal-3116	21	25	,	,	PUNCT
american_scientific_journal-3116	21	26	pp	pp	ADJ
american_scientific_journal-3116	21	27	138	138	NUM
american_scientific_journal-3116	21	28	-	-	SYM
american_scientific_journal-3116	21	29	143	143	NUM
american_scientific_journal-3116	21	30	140	140	NUM
american_scientific_journal-3116	21	31	on	on	ADP
american_scientific_journal-3116	21	32	𝑻𝑻𝒄𝒄	𝑻𝑻𝒄𝒄	PROPN
american_scientific_journal-3116	21	33	�	�	PROPN
american_scientific_journal-3116	21	34	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	21	35	�	�	NOUN
american_scientific_journal-3116	22	1	the	the	DET
american_scientific_journal-3116	22	2	natural	natural	ADJ
american_scientific_journal-3116	22	3	complex	complex	ADJ
american_scientific_journal-3116	22	4	structure	structure	NOUN
american_scientific_journal-3116	22	5	𝑱𝑱𝟐𝟐	𝑱𝑱𝟐𝟐	NOUN
american_scientific_journal-3116	22	6	=	=	PUNCT
american_scientific_journal-3116	22	7	−𝑰𝑰	−𝑰𝑰	PROPN
american_scientific_journal-3116	22	8	acts	act	VERB
american_scientific_journal-3116	22	9	as	as	SCONJ
american_scientific_journal-3116	22	10	follows	follow	VERB
american_scientific_journal-3116	22	11	:	:	PUNCT
american_scientific_journal-3116	22	12	𝐽𝐽	𝐽𝐽	PROPN
american_scientific_journal-3116	22	13	�	�	PROPN
american_scientific_journal-3116	22	14	𝜕𝜕	𝜕𝜕	PROPN
american_scientific_journal-3116	22	15	𝜕𝜕𝑧𝑧𝑗𝑗	𝜕𝜕𝑧𝑧𝑗𝑗	NUM
american_scientific_journal-3116	22	16	�	�	NOUN
american_scientific_journal-3116	22	17	=	=	PUNCT
american_scientific_journal-3116	22	18	𝒊𝒊	𝒊𝒊	ADP
american_scientific_journal-3116	22	19	𝜕𝜕	𝜕𝜕	ADV
american_scientific_journal-3116	22	20	𝜕𝜕𝑧𝑧𝑗𝑗	𝜕𝜕𝑧𝑧𝑗𝑗	NOUN
american_scientific_journal-3116	22	21	,	,	PUNCT
american_scientific_journal-3116	22	22	𝐽𝐽	𝐽𝐽	PROPN
american_scientific_journal-3116	22	23	�	�	PROPN
american_scientific_journal-3116	22	24	𝜕𝜕	𝜕𝜕	ADV
american_scientific_journal-3116	22	25	𝜕𝜕𝑥𝑥𝑗𝑗	𝜕𝜕𝑥𝑥𝑗𝑗	ADJ
american_scientific_journal-3116	22	26	�	�	NOUN
american_scientific_journal-3116	22	27	=	=	PUNCT
american_scientific_journal-3116	22	28	𝒊𝒊	𝒊𝒊	ADP
american_scientific_journal-3116	22	29	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3116	22	30	𝜕𝜕𝑥𝑥𝑗𝑗	𝜕𝜕𝑥𝑥𝑗𝑗	ADJ
american_scientific_journal-3116	22	31	,	,	PUNCT
american_scientific_journal-3116	22	32	𝐽𝐽	𝐽𝐽	PROPN
american_scientific_journal-3116	22	33	�	�	PROPN
american_scientific_journal-3116	22	34	𝜕𝜕	𝜕𝜕	PROPN
american_scientific_journal-3116	22	35	𝜕𝜕𝑦𝑦𝑗𝑗	𝜕𝜕𝑦𝑦𝑗𝑗	ADJ
american_scientific_journal-3116	22	36	�	�	PROPN
american_scientific_journal-3116	22	37	=	=	PUNCT
american_scientific_journal-3116	22	38	𝒊𝒊	𝒊𝒊	ADP
american_scientific_journal-3116	22	39	𝜕𝜕	𝜕𝜕	ADJ
american_scientific_journal-3116	22	40	𝜕𝜕𝑦𝑦𝑗𝑗	𝜕𝜕𝑦𝑦𝑗𝑗	ADJ
american_scientific_journal-3116	22	41	𝑱𝑱	𝑱𝑱	PROPN
american_scientific_journal-3116	22	42	�	�	PROPN
american_scientific_journal-3116	22	43	𝝏𝝏	𝝏𝝏	NOUN
american_scientific_journal-3116	22	44	𝝏𝝏𝒛𝒛	𝝏𝝏𝒛𝒛	PROPN
american_scientific_journal-3116	22	45	�	�	PROPN
american_scientific_journal-3116	22	46	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	22	47	�	�	PROPN
american_scientific_journal-3116	22	48	=	=	PUNCT
american_scientific_journal-3116	22	49	−𝒊𝒊	−𝒊𝒊	ADV
american_scientific_journal-3116	22	50	𝝏𝝏	𝝏𝝏	PROPN
american_scientific_journal-3116	22	51	𝝏𝝏𝒛𝒛𝒋𝒋	𝝏𝝏𝒛𝒛𝒋𝒋	NOUN
american_scientific_journal-3116	22	52	,	,	PUNCT
american_scientific_journal-3116	22	53	𝑱𝑱	𝑱𝑱	PROPN
american_scientific_journal-3116	22	54	�	�	PROPN
american_scientific_journal-3116	22	55	𝝏𝝏	𝝏𝝏	NOUN
american_scientific_journal-3116	22	56	𝝏𝝏𝒙𝒙	𝝏𝝏𝒙𝒙	PROPN
american_scientific_journal-3116	22	57	�	�	PROPN
american_scientific_journal-3116	22	58	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	22	59	�	�	PROPN
american_scientific_journal-3116	22	60	=	=	PUNCT
american_scientific_journal-3116	22	61	−𝒊𝒊	−𝒊𝒊	ADV
american_scientific_journal-3116	22	62	𝝏𝝏	𝝏𝝏	NOUN
american_scientific_journal-3116	22	63	𝝏𝝏𝒙𝒙𝒋𝒋	𝝏𝝏𝒙𝒙𝒋𝒋	AUX
american_scientific_journal-3116	22	64	,	,	PUNCT
american_scientific_journal-3116	22	65	𝑱𝑱	𝑱𝑱	PROPN
american_scientific_journal-3116	22	66	�	�	PROPN
american_scientific_journal-3116	22	67	𝝏𝝏	𝝏𝝏	ADP
american_scientific_journal-3116	22	68	𝝏𝝏𝒚𝒚	𝝏𝝏𝒚𝒚	PROPN
american_scientific_journal-3116	22	69	�	�	PROPN
american_scientific_journal-3116	22	70	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	22	71	�	�	NOUN
american_scientific_journal-3116	22	72	=	=	PUNCT
american_scientific_journal-3116	22	73	−𝒊𝒊	−𝒊𝒊	ADV
american_scientific_journal-3116	22	74	𝝏𝝏	𝝏𝝏	PRON
american_scientific_journal-3116	22	75	𝝏𝝏𝒚𝒚𝒋𝒋	𝝏𝝏𝒚𝒚𝒋𝒋	NOUN
american_scientific_journal-3116	22	76	(	(	PUNCT
american_scientific_journal-3116	22	77	𝟓𝟓	𝟓𝟓	NUM
american_scientific_journal-3116	22	78	)	)	PUNCT
american_scientific_journal-3116	22	79	the	the	DET
american_scientific_journal-3116	22	80	dual	dual	ADJ
american_scientific_journal-3116	22	81	endomorphism	endomorphism	NOUN
american_scientific_journal-3116	22	82	the	the	DET
american_scientific_journal-3116	22	83	cotangent	cotangent	NOUN
american_scientific_journal-3116	22	84	space	space	NOUN
american_scientific_journal-3116	22	85	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	22	86	�	�	PROPN
american_scientific_journal-3116	22	87	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	NOUN
american_scientific_journal-3116	22	88	�	�	PROPN
american_scientific_journal-3116	22	89	at	at	ADP
american_scientific_journal-3116	22	90	any	any	DET
american_scientific_journal-3116	22	91	point	point	NOUN
american_scientific_journal-3116	22	92	p	p	NOUN
american_scientific_journal-3116	22	93	of	of	ADP
american_scientific_journal-3116	22	94	manifold	manifold	ADJ
american_scientific_journal-3116	22	95	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	22	96	satifies	satifie	NOUN
american_scientific_journal-3116	22	97	𝐉𝐉𝟐𝟐∗	𝐉𝐉𝟐𝟐∗	NOUN
american_scientific_journal-3116	22	98	=	=	SYM
american_scientific_journal-3116	22	99	−𝐈𝐈	−𝐈𝐈	NOUN
american_scientific_journal-3116	22	100	and	and	CCONJ
american_scientific_journal-3116	22	101	is	be	AUX
american_scientific_journal-3116	22	102	defined	define	VERB
american_scientific_journal-3116	22	103	by	by	ADP
american_scientific_journal-3116	22	104	𝑱𝑱∗(𝒅𝒅𝒛𝒛𝒋𝒋	𝑱𝑱∗(𝒅𝒅𝒛𝒛𝒋𝒋	PROPN
american_scientific_journal-3116	22	105	)	)	PUNCT
american_scientific_journal-3116	22	106	=	=	SYM
american_scientific_journal-3116	23	1	𝒊𝒊𝒅𝒅𝒛𝒛𝒋𝒋	𝒊𝒊𝒅𝒅𝒛𝒛𝒋𝒋	INTJ
american_scientific_journal-3116	23	2	,	,	PUNCT
american_scientific_journal-3116	23	3	𝑱𝑱∗(𝒅𝒅𝒙𝒙𝒋𝒋	𝑱𝑱∗(𝒅𝒅𝒙𝒙𝒋𝒋	PROPN
american_scientific_journal-3116	23	4	)	)	PUNCT
american_scientific_journal-3116	23	5	=	=	NOUN
american_scientific_journal-3116	23	6	𝒊𝒊𝒅𝒅𝒙𝒙𝒋𝒋	𝒊𝒊𝒅𝒅𝒙𝒙𝒋𝒋	NOUN
american_scientific_journal-3116	23	7	,	,	PUNCT
american_scientific_journal-3116	23	8	𝑱𝑱∗(𝒅𝒅𝒚𝒚𝒋𝒋	𝑱𝑱∗(𝒅𝒅𝒚𝒚𝒋𝒋	PROPN
american_scientific_journal-3116	23	9	)	)	PUNCT
american_scientific_journal-3116	23	10	=	=	VERB
american_scientific_journal-3116	23	11	𝒊𝒊𝒅𝒅𝒚𝒚𝒋𝒋	𝒊𝒊𝒅𝒅𝒚𝒚𝒋𝒋	ADJ
american_scientific_journal-3116	23	12	𝑱𝑱∗(𝒅𝒅𝒛𝒛	𝑱𝑱∗(𝒅𝒅𝒛𝒛	SYM
american_scientific_journal-3116	23	13	�	�	NOUN
american_scientific_journal-3116	23	14	𝒋𝒋	𝒋𝒋	PROPN
american_scientific_journal-3116	23	15	)	)	PUNCT
american_scientific_journal-3116	23	16	=	=	SYM
american_scientific_journal-3116	23	17	−𝒊𝒊𝒅𝒅𝒛𝒛	−𝒊𝒊𝒅𝒅𝒛𝒛	PROPN
american_scientific_journal-3116	23	18	�	�	PROPN
american_scientific_journal-3116	23	19	𝒋𝒋	𝒋𝒋	PROPN
american_scientific_journal-3116	23	20	,	,	PUNCT
american_scientific_journal-3116	23	21	𝑱𝑱∗(𝒅𝒅𝒙𝒙	𝑱𝑱∗(𝒅𝒅𝒙𝒙	PROPN
american_scientific_journal-3116	23	22	�	�	NOUN
american_scientific_journal-3116	23	23	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	23	24	)	)	PUNCT
american_scientific_journal-3116	23	25	=	=	PUNCT
american_scientific_journal-3116	23	26	−𝒊𝒊𝒅𝒅𝒙𝒙	−𝒊𝒊𝒅𝒅𝒙𝒙	PRON
american_scientific_journal-3116	23	27	�	�	NOUN
american_scientific_journal-3116	23	28	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	23	29	,	,	PUNCT
american_scientific_journal-3116	23	30	𝑱𝑱∗(𝒚𝒚	𝑱𝑱∗(𝒚𝒚	PROPN
american_scientific_journal-3116	23	31	�	�	NOUN
american_scientific_journal-3116	23	32	𝒋𝒋	𝒋𝒋	PROPN
american_scientific_journal-3116	23	33	)	)	PUNCT
american_scientific_journal-3116	23	34	=	=	PUNCT
american_scientific_journal-3116	23	35	−𝒊𝒊𝒅𝒅𝒚𝒚	−𝒊𝒊𝒅𝒅𝒚𝒚	X
american_scientific_journal-3116	23	36	�	�	NOUN
american_scientific_journal-3116	23	37	𝒋𝒋	𝒋𝒋	NOUN
american_scientific_journal-3116	23	38	(	(	PUNCT
american_scientific_journal-3116	23	39	𝟔𝟔	𝟔𝟔	NUM
american_scientific_journal-3116	23	40	)	)	PUNCT
american_scientific_journal-3116	23	41	3	3	NUM
american_scientific_journal-3116	23	42	.	.	PUNCT
american_scientific_journal-3116	24	1	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	24	2	dynamical	dynamical	ADJ
american_scientific_journal-3116	24	3	systems	system	NOUN
american_scientific_journal-3116	24	4	in	in	ADP
american_scientific_journal-3116	24	5	this	this	DET
american_scientific_journal-3116	24	6	section	section	NOUN
american_scientific_journal-3116	24	7	,	,	PUNCT
american_scientific_journal-3116	24	8	we	we	PRON
american_scientific_journal-3116	24	9	obtain	obtain	VERB
american_scientific_journal-3116	24	10	complex	complex	ADJ
american_scientific_journal-3116	24	11	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	24	12	equations	equation	NOUN
american_scientific_journal-3116	24	13	for	for	ADP
american_scientific_journal-3116	24	14	classical	classical	ADJ
american_scientific_journal-3116	24	15	mechanics	mechanic	NOUN
american_scientific_journal-3116	24	16	structured	structure	VERB
american_scientific_journal-3116	24	17	on	on	ADP
american_scientific_journal-3116	24	18	momentum	momentum	NOUN
american_scientific_journal-3116	24	19	space	space	NOUN
american_scientific_journal-3116	24	20	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	24	21	�	�	PROPN
american_scientific_journal-3116	24	22	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	NOUN
american_scientific_journal-3116	24	23	�	�	PROPN
american_scientific_journal-3116	24	24	that	that	PRON
american_scientific_journal-3116	24	25	is	be	AUX
american_scientific_journal-3116	24	26	2mdimensional	2mdimensional	NUM
american_scientific_journal-3116	24	27	cotangent	cotangent	NOUN
american_scientific_journal-3116	24	28	bundle	bundle	NOUN
american_scientific_journal-3116	24	29	of	of	ADP
american_scientific_journal-3116	24	30	an	an	DET
american_scientific_journal-3116	24	31	m	m	ADJ
american_scientific_journal-3116	24	32	-	-	ADJ
american_scientific_journal-3116	24	33	dimensional	dimensional	ADJ
american_scientific_journal-3116	24	34	configuration	configuration	NOUN
american_scientific_journal-3116	24	35	manifold	manifold	ADJ
american_scientific_journal-3116	24	36	𝓜𝓜.	𝓜𝓜.	PUNCT
american_scientific_journal-3116	24	37	let	let	VERB
american_scientific_journal-3116	24	38	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PRON
american_scientific_journal-3116	24	39	�	�	PROPN
american_scientific_journal-3116	24	40	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	NOUN
american_scientific_journal-3116	24	41	�	�	NOUN
american_scientific_journal-3116	24	42	be	be	VERB
american_scientific_journal-3116	24	43	the	the	DET
american_scientific_journal-3116	24	44	momentum	momentum	NOUN
american_scientific_journal-3116	24	45	space	space	NOUN
american_scientific_journal-3116	24	46	and	and	CCONJ
american_scientific_journal-3116	24	47	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	24	48	=	=	SYM
american_scientific_journal-3116	24	49	�	�	PROPN
american_scientific_journal-3116	24	50	𝐳𝐳𝐢𝐢	𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	24	51	,	,	PUNCT
american_scientific_journal-3116	24	52	𝐱𝐱𝐢𝐢	𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	24	53	=	=	SYM
american_scientific_journal-3116	24	54	𝛈𝛈𝐢𝐢(𝟏𝟏),𝐲𝐲𝐢𝐢	𝛈𝛈𝐢𝐢(𝟏𝟏),𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	24	55	=	=	SYM
american_scientific_journal-3116	24	56	𝛈𝛈𝐢𝐢(𝟐𝟐	𝛈𝛈𝐢𝐢(𝟐𝟐	ADJ
american_scientific_journal-3116	24	57	)	)	PUNCT
american_scientific_journal-3116	24	58	�	�	PROPN
american_scientific_journal-3116	24	59	=	=	SYM
american_scientific_journal-3116	24	60	(	(	PUNCT
american_scientific_journal-3116	24	61	𝐳𝐳𝐢𝐢	𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	24	62	,	,	PUNCT
american_scientific_journal-3116	24	63	𝐗𝐗𝐢𝐢,𝐘𝐘𝐢𝐢	𝐗𝐗𝐢𝐢,𝐘𝐘𝐢𝐢	PROPN
american_scientific_journal-3116	24	64	)	)	PUNCT
american_scientific_journal-3116	24	65	,	,	PUNCT
american_scientific_journal-3116	24	66	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	24	67	≤	≤	NUM
american_scientific_journal-3116	24	68	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	24	69	≤	≤	NOUN
american_scientific_journal-3116	24	70	𝐦𝐦	𝐦𝐦	ADP
american_scientific_journal-3116	24	71	its	its	PRON
american_scientific_journal-3116	24	72	complex	complex	ADJ
american_scientific_journal-3116	24	73	coordinates	coordinate	NOUN
american_scientific_journal-3116	24	74	let	let	VERB
american_scientific_journal-3116	24	75	almost	almost	ADV
american_scientific_journal-3116	24	76	complex	complex	ADJ
american_scientific_journal-3116	24	77	structure	structure	NOUN
american_scientific_journal-3116	24	78	𝐉𝐉∗	𝐉𝐉∗	PROPN
american_scientific_journal-3116	24	79	and	and	CCONJ
american_scientific_journal-3116	24	80	liouville	liouville	NOUN
american_scientific_journal-3116	24	81	form	form	NOUN
american_scientific_journal-3116	24	82	𝛌𝛌	𝛌𝛌	INTJ
american_scientific_journal-3116	24	83	give	give	VERB
american_scientific_journal-3116	24	84	by	by	ADP
american_scientific_journal-3116	24	85	𝛚𝛚	𝛚𝛚	NOUN
american_scientific_journal-3116	25	1	=	=	NOUN
american_scientific_journal-3116	25	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	25	3	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-3116	25	4	(	(	PUNCT
american_scientific_journal-3116	25	5	𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	25	6	�	�	NOUN
american_scientific_journal-3116	25	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	25	8	+	+	NOUN
american_scientific_journal-3116	25	9	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	25	10	�	�	PROPN
american_scientific_journal-3116	25	11	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	25	12	+	+	CCONJ
american_scientific_journal-3116	25	13	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	25	14	�	�	PROPN
american_scientific_journal-3116	25	15	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	25	16	+	+	CCONJ
american_scientific_journal-3116	25	17	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	25	18	�	�	NOUN
american_scientific_journal-3116	25	19	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	25	20	+	+	CCONJ
american_scientific_journal-3116	25	21	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	25	22	�	�	PROPN
american_scientific_journal-3116	25	23	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	25	24	+	+	CCONJ
american_scientific_journal-3116	25	25	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	25	26	�	�	PROPN
american_scientific_journal-3116	25	27	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	25	28	)	)	PUNCT
american_scientific_journal-3116	25	29	(	(	PUNCT
american_scientific_journal-3116	25	30	𝟕𝟕	𝟕𝟕	NUM
american_scientific_journal-3116	25	31	)	)	PUNCT
american_scientific_journal-3116	26	1	𝛌𝛌	𝛌𝛌	NOUN
american_scientific_journal-3116	26	2	=	=	SYM
american_scientific_journal-3116	26	3	(	(	PUNCT
american_scientific_journal-3116	26	4	𝐉𝐉∗𝛚𝛚	𝐉𝐉∗𝛚𝛚	NOUN
american_scientific_journal-3116	26	5	)	)	PUNCT
american_scientific_journal-3116	26	6	=	=	VERB
american_scientific_journal-3116	27	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	27	2	𝟐𝟐𝐉𝐉	𝟐𝟐𝐉𝐉	NOUN
american_scientific_journal-3116	27	3	∗(𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	∗(𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	27	4	�	�	NOUN
american_scientific_journal-3116	27	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	27	6	+	+	NOUN
american_scientific_journal-3116	27	7	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	27	8	�	�	PROPN
american_scientific_journal-3116	27	9	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	27	10	+	+	CCONJ
american_scientific_journal-3116	27	11	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	27	12	�	�	PROPN
american_scientific_journal-3116	27	13	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	27	14	+	+	CCONJ
american_scientific_journal-3116	27	15	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	27	16	�	�	NOUN
american_scientific_journal-3116	27	17	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	27	18	+	+	CCONJ
american_scientific_journal-3116	27	19	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	27	20	�	�	PROPN
american_scientific_journal-3116	27	21	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	27	22	+	+	CCONJ
american_scientific_journal-3116	27	23	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	27	24	�	�	PROPN
american_scientific_journal-3116	27	25	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	27	26	)	)	PUNCT
american_scientific_journal-3116	27	27	or	or	CCONJ
american_scientific_journal-3116	27	28	𝛌𝛌	𝛌𝛌	NOUN
american_scientific_journal-3116	27	29	=	=	SYM
american_scientific_journal-3116	27	30	(	(	PUNCT
american_scientific_journal-3116	27	31	𝐉𝐉∗𝛚𝛚	𝐉𝐉∗𝛚𝛚	NOUN
american_scientific_journal-3116	27	32	)	)	PUNCT
american_scientific_journal-3116	27	33	=	=	PUNCT
american_scientific_journal-3116	28	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	28	2	𝟐𝟐	𝟐𝟐	NOUN
american_scientific_journal-3116	28	3	(	(	PUNCT
american_scientific_journal-3116	28	4	𝐳𝐳𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐳𝐳	𝐳𝐳𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	28	5	�	�	NOUN
american_scientific_journal-3116	28	6	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	28	7	)	)	PUNCT
american_scientific_journal-3116	28	8	+	+	CCONJ
american_scientific_journal-3116	28	9	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	28	10	�	�	PROPN
american_scientific_journal-3116	28	11	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐳𝐳𝐢𝐢	X
american_scientific_journal-3116	28	12	)	)	PUNCT
american_scientific_journal-3116	28	13	+	+	CCONJ
american_scientific_journal-3116	28	14	𝐱𝐱𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐱𝐱	𝐱𝐱𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	28	15	�	�	NOUN
american_scientific_journal-3116	28	16	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	28	17	)	)	PUNCT
american_scientific_journal-3116	28	18	+	+	CCONJ
american_scientific_journal-3116	28	19	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	28	20	�	�	PROPN
american_scientific_journal-3116	28	21	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐱𝐱𝐢𝐢	NUM
american_scientific_journal-3116	28	22	)	)	PUNCT
american_scientific_journal-3116	28	23	+	+	CCONJ
american_scientific_journal-3116	28	24	𝐲𝐲𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐲𝐲	𝐲𝐲𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	28	25	�	�	NOUN
american_scientific_journal-3116	28	26	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	28	27	)	)	PUNCT
american_scientific_journal-3116	28	28	+	+	CCONJ
american_scientific_journal-3116	28	29	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	28	30	�	�	PROPN
american_scientific_journal-3116	28	31	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐉𝐉∗(𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	28	32	)	)	PUNCT
american_scientific_journal-3116	28	33	𝛌𝛌	𝛌𝛌	VERB
american_scientific_journal-3116	28	34	=	=	NUM
american_scientific_journal-3116	29	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	29	2	𝟐𝟐	𝟐𝟐	NUM
american_scientific_journal-3116	29	3	(	(	PUNCT
american_scientific_journal-3116	29	4	−𝐢𝐢𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	−𝐢𝐢𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	29	5	�	�	NOUN
american_scientific_journal-3116	29	6	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	7	+	+	CCONJ
american_scientific_journal-3116	29	8	𝐢𝐢𝐳𝐳	𝐢𝐢𝐳𝐳	PROPN
american_scientific_journal-3116	29	9	�	�	PROPN
american_scientific_journal-3116	29	10	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	29	11	−	−	PROPN
american_scientific_journal-3116	29	12	𝐢𝐢𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐢𝐢𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	29	13	�	�	PROPN
american_scientific_journal-3116	29	14	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	15	+	+	CCONJ
american_scientific_journal-3116	29	16	𝐢𝐢𝐱𝐱	𝐢𝐢𝐱𝐱	VERB
american_scientific_journal-3116	29	17	�	�	NOUN
american_scientific_journal-3116	29	18	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	29	19	−	−	PROPN
american_scientific_journal-3116	29	20	𝐢𝐢𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐢𝐢𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	29	21	�	�	PROPN
american_scientific_journal-3116	29	22	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	23	+	+	CCONJ
american_scientific_journal-3116	29	24	𝐢𝐢𝐲𝐲	𝐢𝐢𝐲𝐲	ADJ
american_scientific_journal-3116	29	25	�	�	NOUN
american_scientific_journal-3116	29	26	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	29	27	)	)	PUNCT
american_scientific_journal-3116	29	28	or	or	CCONJ
american_scientific_journal-3116	29	29	𝛌𝛌	𝛌𝛌	NOUN
american_scientific_journal-3116	29	30	=	=	NUM
american_scientific_journal-3116	29	31	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	29	32	𝟐𝟐𝐢𝐢	𝟐𝟐𝐢𝐢	NOUN
american_scientific_journal-3116	29	33	(	(	PUNCT
american_scientific_journal-3116	29	34	−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	29	35	�	�	PROPN
american_scientific_journal-3116	29	36	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	37	+	+	PROPN
american_scientific_journal-3116	29	38	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	29	39	�	�	PROPN
american_scientific_journal-3116	29	40	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	29	41	−	−	PROPN
american_scientific_journal-3116	29	42	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	29	43	�	�	PROPN
american_scientific_journal-3116	29	44	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	45	+	+	CCONJ
american_scientific_journal-3116	29	46	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	29	47	�	�	PROPN
american_scientific_journal-3116	29	48	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	29	49	−	−	PROPN
american_scientific_journal-3116	29	50	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	29	51	�	�	PROPN
american_scientific_journal-3116	29	52	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	29	53	+	+	CCONJ
american_scientific_journal-3116	29	54	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	29	55	�	�	PROPN
american_scientific_journal-3116	29	56	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	29	57	)	)	PUNCT
american_scientific_journal-3116	29	58	)	)	PUNCT
american_scientific_journal-3116	29	59	(	(	PUNCT
american_scientific_journal-3116	29	60	𝟖𝟖	𝟖𝟖	X
american_scientific_journal-3116	29	61	)	)	PUNCT
american_scientific_journal-3116	29	62	𝐬𝐬𝐮𝐮𝐜𝐜𝐜𝐜	𝐬𝐬𝐮𝐮𝐜𝐜𝐜𝐜	ADJ
american_scientific_journal-3116	29	63	𝐭𝐭𝐜𝐜𝐭𝐭𝐭𝐭	𝐭𝐭𝐜𝐜𝐭𝐭𝐭𝐭	NOUN
american_scientific_journal-3116	29	64	𝛚𝛚	𝛚𝛚	NOUN
american_scientific_journal-3116	29	65	complex	complex	ADJ
american_scientific_journal-3116	29	66	1	1	NUM
american_scientific_journal-3116	29	67	-	-	PUNCT
american_scientific_journal-3116	29	68	form	form	NOUN
american_scientific_journal-3116	29	69	on	on	ADP
american_scientific_journal-3116	29	70	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	29	71	�	�	PROPN
american_scientific_journal-3116	29	72	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	29	73	�	�	PROPN
american_scientific_journal-3116	29	74	.	.	PUNCT
american_scientific_journal-3116	30	1	american	american	PROPN
american_scientific_journal-3116	30	2	scientific	scientific	PROPN
american_scientific_journal-3116	30	3	research	research	PROPN
american_scientific_journal-3116	30	4	journal	journal	NOUN
american_scientific_journal-3116	30	5	for	for	ADP
american_scientific_journal-3116	30	6	engineering	engineering	NOUN
american_scientific_journal-3116	30	7	,	,	PUNCT
american_scientific_journal-3116	30	8	technology	technology	NOUN
american_scientific_journal-3116	30	9	,	,	PUNCT
american_scientific_journal-3116	30	10	and	and	CCONJ
american_scientific_journal-3116	30	11	sciences	science	NOUN
american_scientific_journal-3116	30	12	(	(	PUNCT
american_scientific_journal-3116	30	13	asrjets	asrjet	NOUN
american_scientific_journal-3116	30	14	)	)	PUNCT
american_scientific_journal-3116	30	15	(	(	PUNCT
american_scientific_journal-3116	30	16	2017	2017	NUM
american_scientific_journal-3116	30	17	)	)	PUNCT
american_scientific_journal-3116	30	18	volume	volume	NOUN
american_scientific_journal-3116	30	19	34	34	NUM
american_scientific_journal-3116	30	20	,	,	PUNCT
american_scientific_journal-3116	30	21	no	no	DET
american_scientific_journal-3116	30	22	1	1	NUM
american_scientific_journal-3116	30	23	,	,	PUNCT
american_scientific_journal-3116	30	24	pp	pp	ADJ
american_scientific_journal-3116	30	25	138	138	NUM
american_scientific_journal-3116	30	26	-	-	SYM
american_scientific_journal-3116	30	27	143	143	NUM
american_scientific_journal-3116	30	28	141	141	NUM
american_scientific_journal-3116	30	29	if	if	SCONJ
american_scientific_journal-3116	30	30	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	30	31	=	=	SYM
american_scientific_journal-3116	30	32	−𝐝𝐝𝛌𝛌	−𝐝𝐝𝛌𝛌	NOUN
american_scientific_journal-3116	30	33	is	be	AUX
american_scientific_journal-3116	30	34	closed	close	VERB
american_scientific_journal-3116	30	35	kahlerian	kahlerian	ADJ
american_scientific_journal-3116	30	36	form	form	NOUN
american_scientific_journal-3116	30	37	,	,	PUNCT
american_scientific_journal-3116	30	38	then	then	ADV
american_scientific_journal-3116	30	39	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	30	40	is	be	AUX
american_scientific_journal-3116	30	41	also	also	ADV
american_scientific_journal-3116	30	42	a	a	DET
american_scientific_journal-3116	30	43	symplectic	symplectic	ADJ
american_scientific_journal-3116	30	44	structure	structure	NOUN
american_scientific_journal-3116	30	45	on	on	ADP
american_scientific_journal-3116	30	46	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	30	47	�	�	PROPN
american_scientific_journal-3116	30	48	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	30	49	�	�	PROPN
american_scientific_journal-3116	30	50	.	.	PUNCT
american_scientific_journal-3116	31	1	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	31	2	=	=	PUNCT
american_scientific_journal-3116	31	3	−𝐝𝐝𝛌𝛌=	−𝐝𝐝𝛌𝛌=	X
american_scientific_journal-3116	32	1	−𝐝𝐝	−𝐝𝐝	X
american_scientific_journal-3116	32	2	(	(	PUNCT
american_scientific_journal-3116	32	3	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	32	4	𝟐𝟐𝐢𝐢	𝟐𝟐𝐢𝐢	NOUN
american_scientific_journal-3116	32	5	(	(	PUNCT
american_scientific_journal-3116	32	6	−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	32	7	�	�	PROPN
american_scientific_journal-3116	32	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	32	9	+	+	PROPN
american_scientific_journal-3116	32	10	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	32	11	�	�	PROPN
american_scientific_journal-3116	33	1	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	33	2	−	−	PROPN
american_scientific_journal-3116	33	3	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	33	4	�	�	PROPN
american_scientific_journal-3116	33	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	33	6	+	+	CCONJ
american_scientific_journal-3116	33	7	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	33	8	�	�	PROPN
american_scientific_journal-3116	33	9	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	33	10	−	−	PROPN
american_scientific_journal-3116	33	11	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	33	12	�	�	PROPN
american_scientific_journal-3116	33	13	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	33	14	+	+	CCONJ
american_scientific_journal-3116	33	15	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	33	16	�	�	PROPN
american_scientific_journal-3116	33	17	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	33	18	)	)	PUNCT
american_scientific_journal-3116	33	19	)	)	PUNCT
american_scientific_journal-3116	34	1	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	34	2	=	=	PUNCT
american_scientific_journal-3116	34	3	−𝐝𝐝𝛌𝛌	−𝐝𝐝𝛌𝛌	X
american_scientific_journal-3116	34	4	=	=	SYM
american_scientific_journal-3116	35	1	−𝐢𝐢𝐝𝐝(−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	−𝐢𝐢𝐝𝐝(−𝐳𝐳𝐢𝐢𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	35	2	�	�	NOUN
american_scientific_journal-3116	35	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	35	4	+	+	NOUN
american_scientific_journal-3116	35	5	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	35	6	�	�	PROPN
american_scientific_journal-3116	35	7	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢)−	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢)−	PROPN
american_scientific_journal-3116	35	8	𝐢𝐢𝐝𝐝(−𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝐢𝐢𝐝𝐝(−𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	35	9	�	�	PROPN
american_scientific_journal-3116	35	10	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	35	11	+	+	CCONJ
american_scientific_journal-3116	35	12	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	35	13	�	�	PROPN
american_scientific_journal-3116	35	14	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢)−	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢)−	NOUN
american_scientific_journal-3116	35	15	𝐢𝐢𝐝𝐝(−𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝐢𝐢𝐝𝐝(−𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	35	16	�	�	NOUN
american_scientific_journal-3116	35	17	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	35	18	+	+	CCONJ
american_scientific_journal-3116	35	19	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	35	20	�	�	PROPN
american_scientific_journal-3116	35	21	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	35	22	)	)	PUNCT
american_scientific_journal-3116	35	23	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	35	24	=	=	SYM
american_scientific_journal-3116	35	25	−𝐝𝐝𝛌𝛌	−𝐝𝐝𝛌𝛌	X
american_scientific_journal-3116	35	26	=	=	SYM
american_scientific_journal-3116	35	27	−𝐢𝐢(𝐝𝐝𝐳𝐳	−𝐢𝐢(𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	35	28	�	�	PROPN
american_scientific_journal-3116	35	29	𝐢𝐢⋀𝐝𝐝𝐳𝐳𝐢𝐢)−	𝐢𝐢⋀𝐝𝐝𝐳𝐳𝐢𝐢)−	NOUN
american_scientific_journal-3116	35	30	𝐢𝐢(𝐝𝐝𝐱𝐱	𝐢𝐢(𝐝𝐝𝐱𝐱	NOUN
american_scientific_journal-3116	35	31	�	�	NOUN
american_scientific_journal-3116	35	32	𝐢𝐢⋀𝐝𝐝𝐱𝐱𝐢𝐢)−	𝐢𝐢⋀𝐝𝐝𝐱𝐱𝐢𝐢)−	NOUN
american_scientific_journal-3116	35	33	𝐢𝐢(𝐝𝐝𝐲𝐲	𝐢𝐢(𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	35	34	�	�	NOUN
american_scientific_journal-3116	35	35	𝐢𝐢⋀𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢⋀𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	35	36	)	)	PUNCT
american_scientific_journal-3116	35	37	(	(	PUNCT
american_scientific_journal-3116	35	38	𝟗𝟗	𝟗𝟗	X
american_scientific_journal-3116	35	39	)	)	PUNCT
american_scientific_journal-3116	35	40	let	let	VERB
american_scientific_journal-3116	35	41	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PRON
american_scientific_journal-3116	35	42	�	�	PROPN
american_scientific_journal-3116	35	43	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	35	44	�	�	PROPN
american_scientific_journal-3116	35	45	be	be	AUX
american_scientific_journal-3116	35	46	momentum	momentum	NOUN
american_scientific_journal-3116	35	47	space	space	NOUN
american_scientific_journal-3116	35	48	with	with	ADP
american_scientific_journal-3116	35	49	closed	closed	ADJ
american_scientific_journal-3116	35	50	kaehlerian	kaehlerian	ADJ
american_scientific_journal-3116	35	51	form	form	NOUN
american_scientific_journal-3116	35	52	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	35	53	.consider	.consider	NOUN
american_scientific_journal-3116	35	54	that	that	SCONJ
american_scientific_journal-3116	35	55	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	35	56	vector	vector	NOUN
american_scientific_journal-3116	35	57	field	field	NOUN
american_scientific_journal-3116	35	58	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	35	59	associated	associate	VERB
american_scientific_journal-3116	35	60	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	35	61	energy	energy	NOUN
american_scientific_journal-3116	35	62	𝐇𝐇	𝐇𝐇	PROPN
american_scientific_journal-3116	35	63	is	be	AUX
american_scientific_journal-3116	35	64	given	give	VERB
american_scientific_journal-3116	35	65	by	by	ADP
american_scientific_journal-3116	35	66	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	35	67	=	=	SYM
american_scientific_journal-3116	35	68	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	36	1	=	=	SYM
american_scientific_journal-3116	36	2	𝐙𝐙𝐢𝐢	𝐙𝐙𝐢𝐢	PROPN
american_scientific_journal-3116	36	3	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	36	4	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	X
american_scientific_journal-3116	36	5	+	+	CCONJ
american_scientific_journal-3116	36	6	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	36	7	�	�	PROPN
american_scientific_journal-3116	36	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	36	9	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	36	10	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	36	11	�	�	PROPN
american_scientific_journal-3116	36	12	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	36	13	+	+	CCONJ
american_scientific_journal-3116	36	14	𝐗𝐗𝐢𝐢	𝐗𝐗𝐢𝐢	PROPN
american_scientific_journal-3116	36	15	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	37	1	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	37	2	+	+	CCONJ
american_scientific_journal-3116	37	3	𝐗𝐗	𝐗𝐗	PROPN
american_scientific_journal-3116	37	4	�	�	PROPN
american_scientific_journal-3116	37	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	37	6	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	37	7	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	37	8	�	�	NOUN
american_scientific_journal-3116	37	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	37	10	+	+	CCONJ
american_scientific_journal-3116	37	11	𝐘𝐘𝐢𝐢	𝐘𝐘𝐢𝐢	PROPN
american_scientific_journal-3116	37	12	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	37	13	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	38	1	+	+	CCONJ
american_scientific_journal-3116	38	2	𝐘𝐘	𝐘𝐘	PROPN
american_scientific_journal-3116	38	3	�	�	PROPN
american_scientific_journal-3116	38	4	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	38	5	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	38	6	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	38	7	�	�	PROPN
american_scientific_journal-3116	38	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	38	9	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	38	10	≤	≤	NUM
american_scientific_journal-3116	38	11	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	38	12	≤	≤	ADJ
american_scientific_journal-3116	38	13	𝐦𝐦	𝐦𝐦	NOUN
american_scientific_journal-3116	38	14	from	from	ADP
american_scientific_journal-3116	38	15	the	the	DET
american_scientific_journal-3116	38	16	isomorphism	isomorphism	NOUN
american_scientific_journal-3116	38	17	given	give	VERB
american_scientific_journal-3116	38	18	in	in	ADP
american_scientific_journal-3116	38	19	,	,	PUNCT
american_scientific_journal-3116	38	20	we	we	PRON
american_scientific_journal-3116	38	21	calculate	calculate	VERB
american_scientific_journal-3116	38	22	by	by	ADP
american_scientific_journal-3116	38	23	𝐢𝐢𝐙𝐙𝐇𝐇	𝐢𝐢𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	38	24	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	38	25	=	=	SYM
american_scientific_journal-3116	38	26	𝐢𝐢𝐙𝐙𝐇𝐇(−𝐝𝐝𝛌𝛌	𝐢𝐢𝐙𝐙𝐇𝐇(−𝐝𝐝𝛌𝛌	NOUN
american_scientific_journal-3116	38	27	)	)	PUNCT
american_scientific_journal-3116	38	28	=	=	SYM
american_scientific_journal-3116	38	29	�	�	PROPN
american_scientific_journal-3116	38	30	𝐙𝐙𝐢𝐢	𝐙𝐙𝐢𝐢	PROPN
american_scientific_journal-3116	38	31	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	38	32	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	X
american_scientific_journal-3116	39	1	+	+	CCONJ
american_scientific_journal-3116	40	1	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	40	2	�	�	PROPN
american_scientific_journal-3116	40	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	40	4	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	40	5	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	40	6	�	�	PROPN
american_scientific_journal-3116	40	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	40	8	+	+	CCONJ
american_scientific_journal-3116	40	9	𝐗𝐗𝐢𝐢	𝐗𝐗𝐢𝐢	PROPN
american_scientific_journal-3116	40	10	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	41	1	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	41	2	+	+	CCONJ
american_scientific_journal-3116	41	3	𝐗𝐗	𝐗𝐗	PROPN
american_scientific_journal-3116	41	4	�	�	PROPN
american_scientific_journal-3116	41	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	41	6	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	41	7	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	41	8	�	�	NOUN
american_scientific_journal-3116	41	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	41	10	+	+	CCONJ
american_scientific_journal-3116	41	11	𝐘𝐘𝐢𝐢	𝐘𝐘𝐢𝐢	PROPN
american_scientific_journal-3116	41	12	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	41	13	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	42	1	+	+	CCONJ
american_scientific_journal-3116	42	2	𝐘𝐘	𝐘𝐘	PROPN
american_scientific_journal-3116	42	3	�	�	PROPN
american_scientific_journal-3116	42	4	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	5	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	42	6	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	42	7	�	�	PROPN
american_scientific_journal-3116	42	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	9	�	�	PROPN
american_scientific_journal-3116	42	10	�	�	PROPN
american_scientific_journal-3116	42	11	−𝐢𝐢(𝐝𝐝𝐳𝐳	−𝐢𝐢(𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	42	12	�	�	PROPN
american_scientific_journal-3116	42	13	𝐢𝐢⋀𝐝𝐝𝐳𝐳𝐢𝐢)−	𝐢𝐢⋀𝐝𝐝𝐳𝐳𝐢𝐢)−	NOUN
american_scientific_journal-3116	42	14	𝐢𝐢(𝐝𝐝𝐱𝐱	𝐢𝐢(𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	42	15	�	�	NOUN
american_scientific_journal-3116	42	16	𝐢𝐢⋀𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢⋀𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	42	17	)	)	PUNCT
american_scientific_journal-3116	42	18	−	−	ADP
american_scientific_journal-3116	42	19	𝐢𝐢(𝐝𝐝𝐲𝐲	𝐢𝐢(𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	42	20	�	�	SYM
american_scientific_journal-3116	42	21	𝐢𝐢⋀𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢⋀𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	42	22	)	)	PUNCT
american_scientific_journal-3116	42	23	�	�	PROPN
american_scientific_journal-3116	42	24	𝐢𝐢𝐙𝐙𝐇𝐇	𝐢𝐢𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	42	25	𝛟𝛟	𝛟𝛟	ADP
american_scientific_journal-3116	42	26	=	=	NOUN
american_scientific_journal-3116	42	27	𝐢𝐢𝐙𝐙	𝐢𝐢𝐙𝐙	NOUN
american_scientific_journal-3116	42	28	�	�	NOUN
american_scientific_journal-3116	42	29	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	42	30	+	+	CCONJ
american_scientific_journal-3116	42	31	𝐢𝐢𝐙𝐙𝐢𝐢𝐝𝐝𝐳𝐳	𝐢𝐢𝐙𝐙𝐢𝐢𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	42	32	�	�	NOUN
american_scientific_journal-3116	42	33	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	34	+	+	CCONJ
american_scientific_journal-3116	42	35	𝐢𝐢𝐗𝐗	𝐢𝐢𝐗𝐗	PROPN
american_scientific_journal-3116	42	36	�	�	NOUN
american_scientific_journal-3116	42	37	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	42	38	+	+	CCONJ
american_scientific_journal-3116	42	39	𝐢𝐢𝐗𝐗𝐢𝐢𝐝𝐝𝐱𝐱	𝐢𝐢𝐗𝐗𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	42	40	�	�	NOUN
american_scientific_journal-3116	42	41	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	42	+	+	NOUN
american_scientific_journal-3116	42	43	𝐢𝐢𝐘𝐘	𝐢𝐢𝐘𝐘	NOUN
american_scientific_journal-3116	42	44	�	�	NOUN
american_scientific_journal-3116	42	45	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	42	46	+	+	CCONJ
american_scientific_journal-3116	42	47	𝐢𝐢𝐘𝐘𝐢𝐢𝐝𝐝𝐲𝐲	𝐢𝐢𝐘𝐘𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	42	48	�	�	PROPN
american_scientific_journal-3116	42	49	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	50	(	(	PUNCT
american_scientific_journal-3116	42	51	𝟏𝟏𝟎𝟎	𝟏𝟏𝟎𝟎	NUM
american_scientific_journal-3116	42	52	)	)	PUNCT
american_scientific_journal-3116	42	53	on	on	ADP
american_scientific_journal-3116	42	54	the	the	DET
american_scientific_journal-3116	42	55	other	other	ADJ
american_scientific_journal-3116	42	56	hand	hand	NOUN
american_scientific_journal-3116	42	57	,	,	PUNCT
american_scientific_journal-3116	42	58	we	we	PRON
american_scientific_journal-3116	42	59	obtain	obtain	VERB
american_scientific_journal-3116	42	60	as	as	ADP
american_scientific_journal-3116	42	61	𝐝𝐝𝐇𝐇	𝐝𝐝𝐇𝐇	NUM
american_scientific_journal-3116	42	62	=	=	SYM
american_scientific_journal-3116	42	63	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	64	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	42	65	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	42	66	𝐢𝐢	𝐢𝐢	PART
american_scientific_journal-3116	42	67	+	+	CCONJ
american_scientific_journal-3116	42	68	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	69	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	42	70	�	�	NOUN
american_scientific_journal-3116	42	71	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	72	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	42	73	�	�	NOUN
american_scientific_journal-3116	42	74	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	75	+	+	CCONJ
american_scientific_journal-3116	42	76	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	77	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	NUM
american_scientific_journal-3116	42	78	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	NOUN
american_scientific_journal-3116	42	79	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	80	+	+	CCONJ
american_scientific_journal-3116	42	81	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	82	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	42	83	�	�	PROPN
american_scientific_journal-3116	42	84	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	85	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	42	86	�	�	PROPN
american_scientific_journal-3116	42	87	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	88	+	+	CCONJ
american_scientific_journal-3116	42	89	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	90	𝛛𝛛𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	𝛛𝛛𝐲𝐲𝐢𝐢𝐝𝐝𝐲𝐲	PRON
american_scientific_journal-3116	42	91	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	42	92	+	+	CCONJ
american_scientific_journal-3116	42	93	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	42	94	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	42	95	�	�	NOUN
american_scientific_journal-3116	42	96	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	97	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	42	98	�	�	PROPN
american_scientific_journal-3116	42	99	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	42	100	(	(	PUNCT
american_scientific_journal-3116	42	101	𝟏𝟏𝟏𝟏	𝟏𝟏𝟏𝟏	NUM
american_scientific_journal-3116	42	102	)	)	PUNCT
american_scientific_journal-3116	42	103	the	the	DET
american_scientific_journal-3116	42	104	differential	differential	NOUN
american_scientific_journal-3116	42	105	of	of	ADP
american_scientific_journal-3116	42	106	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	42	107	energy	energy	NOUN
american_scientific_journal-3116	42	108	.	.	PUNCT
american_scientific_journal-3116	43	1	from	from	ADP
american_scientific_journal-3116	43	2	𝐢𝐢𝐙𝐙𝐇𝐇𝛟𝛟	𝐢𝐢𝐙𝐙𝐇𝐇𝛟𝛟	PROPN
american_scientific_journal-3116	43	3	=	=	SYM
american_scientific_journal-3116	43	4	𝐝𝐝𝐇𝐇	𝐝𝐝𝐇𝐇	NUM
american_scientific_journal-3116	43	5	,	,	PUNCT
american_scientific_journal-3116	43	6	we	we	PRON
american_scientific_journal-3116	43	7	find	find	VERB
american_scientific_journal-3116	43	8	as	as	ADP
american_scientific_journal-3116	43	9	𝐢𝐢𝐙𝐙𝐇𝐇𝛟𝛟	𝐢𝐢𝐙𝐙𝐇𝐇𝛟𝛟	PROPN
american_scientific_journal-3116	43	10	=	=	SYM
american_scientific_journal-3116	44	1	𝐝𝐝𝐇𝐇	𝐝𝐝𝐇𝐇	NUM
american_scientific_journal-3116	44	2	=	=	SYM
american_scientific_journal-3116	44	3	𝐙𝐙	𝐙𝐙	PROPN
american_scientific_journal-3116	44	4	�	�	PROPN
american_scientific_journal-3116	44	5	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	𝐢𝐢𝐝𝐝𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	44	6	+	+	CCONJ
american_scientific_journal-3116	44	7	𝐢𝐢𝐙𝐙𝐢𝐢𝐝𝐝𝐳𝐳	𝐢𝐢𝐙𝐙𝐢𝐢𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	44	8	�	�	NOUN
american_scientific_journal-3116	44	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	44	10	+	+	CCONJ
american_scientific_journal-3116	44	11	𝐢𝐢𝐗𝐗	𝐢𝐢𝐗𝐗	PROPN
american_scientific_journal-3116	44	12	�	�	NOUN
american_scientific_journal-3116	44	13	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	𝐢𝐢𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	44	14	+	+	CCONJ
american_scientific_journal-3116	44	15	𝐢𝐢𝐗𝐗𝐢𝐢𝐝𝐝𝐱𝐱	𝐢𝐢𝐗𝐗𝐢𝐢𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	44	16	�	�	NOUN
american_scientific_journal-3116	44	17	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	44	18	+	+	NOUN
american_scientific_journal-3116	44	19	𝐢𝐢𝐘𝐘	𝐢𝐢𝐘𝐘	NOUN
american_scientific_journal-3116	44	20	�	�	NOUN
american_scientific_journal-3116	44	21	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	𝐢𝐢𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	44	22	+	+	CCONJ
american_scientific_journal-3116	44	23	𝐢𝐢𝐘𝐘𝐢𝐢𝐝𝐝𝐲𝐲	𝐢𝐢𝐘𝐘𝐢𝐢𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	44	24	�	�	PROPN
american_scientific_journal-3116	44	25	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	44	26	=	=	SYM
american_scientific_journal-3116	44	27	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	45	1	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	45	2	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	45	3	𝐢𝐢	𝐢𝐢	PART
american_scientific_journal-3116	45	4	+	+	CCONJ
american_scientific_journal-3116	45	5	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	45	6	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	45	7	�	�	NOUN
american_scientific_journal-3116	45	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	45	9	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	45	10	�	�	NOUN
american_scientific_journal-3116	45	11	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	45	12	+	+	CCONJ
american_scientific_journal-3116	45	13	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	45	14	𝛛𝛛𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	𝛛𝛛𝐱𝐱𝐢𝐢𝐝𝐝𝐱𝐱	NOUN
american_scientific_journal-3116	45	15	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	45	16	+	+	CCONJ
american_scientific_journal-3116	45	17	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	45	18	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	45	19	�	�	PROPN
american_scientific_journal-3116	45	20	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	45	21	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	45	22	�	�	PROPN
american_scientific_journal-3116	45	23	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	45	24	+	+	CCONJ
american_scientific_journal-3116	45	25	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	45	26	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	45	27	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	NOUN
american_scientific_journal-3116	45	28	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	46	1	+	+	CCONJ
american_scientific_journal-3116	47	1	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	47	2	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	47	3	�	�	NOUN
american_scientific_journal-3116	47	4	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	47	5	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	47	6	�	�	PROPN
american_scientific_journal-3116	47	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	47	8	(	(	PUNCT
american_scientific_journal-3116	47	9	𝟏𝟏𝟐𝟐	𝟏𝟏𝟐𝟐	NUM
american_scientific_journal-3116	47	10	)	)	PUNCT
american_scientific_journal-3116	47	11	or	or	CCONJ
american_scientific_journal-3116	47	12	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	47	13	=	=	PUNCT
american_scientific_journal-3116	47	14	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	47	15	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	47	16	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	47	17	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	47	18	�	�	NOUN
american_scientific_journal-3116	47	19	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	47	20	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	47	21	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NUM
american_scientific_journal-3116	47	22	−	−	PROPN
american_scientific_journal-3116	47	23	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	47	24	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	47	25	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	47	26	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	47	27	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	47	28	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	47	29	�	�	PROPN
american_scientific_journal-3116	47	30	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	47	31	+	+	CCONJ
american_scientific_journal-3116	47	32	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	47	33	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	47	34	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	47	35	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	47	36	�	�	SYM
american_scientific_journal-3116	47	37	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	47	38	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	47	39	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	47	40	−	−	NUM
american_scientific_journal-3116	48	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	48	2	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	48	3	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	48	4	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	NUM
american_scientific_journal-3116	48	5	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	48	6	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	48	7	�	�	NOUN
american_scientific_journal-3116	48	8	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	9	+	+	CCONJ
american_scientific_journal-3116	48	10	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	48	11	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	48	12	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	48	13	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	48	14	�	�	NOUN
american_scientific_journal-3116	48	15	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	16	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	48	17	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	48	18	−	−	PROPN
american_scientific_journal-3116	48	19	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	48	20	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	48	21	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	48	22	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	48	23	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	48	24	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	48	25	�	�	PROPN
american_scientific_journal-3116	48	26	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	27	(	(	PUNCT
american_scientific_journal-3116	48	28	𝟏𝟏𝟑𝟑	𝟏𝟏𝟑𝟑	NUM
american_scientific_journal-3116	48	29	)	)	PUNCT
american_scientific_journal-3116	48	30	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	48	31	≤	≤	PUNCT
american_scientific_journal-3116	48	32	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	48	33	≤	≤	NOUN
american_scientific_journal-3116	48	34	𝐦𝐦	𝐦𝐦	NOUN
american_scientific_journal-3116	48	35	let	let	VERB
american_scientific_journal-3116	48	36	{	{	PUNCT
american_scientific_journal-3116	48	37	𝐙𝐙	𝐙𝐙	NOUN
american_scientific_journal-3116	48	38	=	=	PUNCT
american_scientific_journal-3116	48	39	(	(	PUNCT
american_scientific_journal-3116	48	40	𝐳𝐳𝐢𝐢	𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	48	41	,	,	PUNCT
american_scientific_journal-3116	48	42	𝐳𝐳	𝐳𝐳	PROPN
american_scientific_journal-3116	48	43	�	�	PROPN
american_scientific_journal-3116	48	44	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	45	,	,	PUNCT
american_scientific_journal-3116	48	46	𝐱𝐱𝐢𝐢	𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	48	47	,	,	PUNCT
american_scientific_journal-3116	48	48	𝐱𝐱	𝐱𝐱	PROPN
american_scientific_journal-3116	48	49	�	�	PROPN
american_scientific_journal-3116	48	50	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	51	,	,	PUNCT
american_scientific_journal-3116	48	52	𝐲𝐲𝐢𝐢	𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	48	53	,	,	PUNCT
american_scientific_journal-3116	48	54	𝐲𝐲	𝐲𝐲	PROPN
american_scientific_journal-3116	48	55	�	�	PROPN
american_scientific_journal-3116	48	56	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	48	57	)	)	PUNCT
american_scientific_journal-3116	48	58	∶	∶	NOUN
american_scientific_journal-3116	48	59	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	48	60	≤	≤	NUM
american_scientific_journal-3116	48	61	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	48	62	≤	≤	ADJ
american_scientific_journal-3116	48	63	𝐦𝐦	𝐦𝐦	NOUN
american_scientific_journal-3116	48	64	}	}	PUNCT
american_scientific_journal-3116	48	65	be	be	VERB
american_scientific_journal-3116	48	66	the	the	DET
american_scientific_journal-3116	48	67	complex	complex	ADJ
american_scientific_journal-3116	48	68	coordinates	coordinate	NOUN
american_scientific_journal-3116	48	69	in	in	ADP
american_scientific_journal-3116	48	70	the	the	DET
american_scientific_journal-3116	48	71	momentum	momentum	NOUN
american_scientific_journal-3116	48	72	space	space	NOUN
american_scientific_journal-3116	48	73	.	.	PUNCT
american_scientific_journal-3116	49	1	suppose	suppose	VERB
american_scientific_journal-3116	49	2	that	that	SCONJ
american_scientific_journal-3116	49	3	the	the	DET
american_scientific_journal-3116	49	4	curve	curve	NOUN
american_scientific_journal-3116	49	5	american	american	PROPN
american_scientific_journal-3116	49	6	scientific	scientific	PROPN
american_scientific_journal-3116	49	7	research	research	PROPN
american_scientific_journal-3116	49	8	journal	journal	NOUN
american_scientific_journal-3116	49	9	for	for	ADP
american_scientific_journal-3116	49	10	engineering	engineering	NOUN
american_scientific_journal-3116	49	11	,	,	PUNCT
american_scientific_journal-3116	49	12	technology	technology	NOUN
american_scientific_journal-3116	49	13	,	,	PUNCT
american_scientific_journal-3116	49	14	and	and	CCONJ
american_scientific_journal-3116	49	15	sciences	science	NOUN
american_scientific_journal-3116	49	16	(	(	PUNCT
american_scientific_journal-3116	49	17	asrjets	asrjet	NOUN
american_scientific_journal-3116	49	18	)	)	PUNCT
american_scientific_journal-3116	49	19	(	(	PUNCT
american_scientific_journal-3116	49	20	2017	2017	NUM
american_scientific_journal-3116	49	21	)	)	PUNCT
american_scientific_journal-3116	49	22	volume	volume	NOUN
american_scientific_journal-3116	49	23	34	34	NUM
american_scientific_journal-3116	49	24	,	,	PUNCT
american_scientific_journal-3116	49	25	no	no	DET
american_scientific_journal-3116	49	26	1	1	NUM
american_scientific_journal-3116	49	27	,	,	PUNCT
american_scientific_journal-3116	49	28	pp	pp	ADJ
american_scientific_journal-3116	49	29	138	138	NUM
american_scientific_journal-3116	49	30	-	-	SYM
american_scientific_journal-3116	49	31	143	143	NUM
american_scientific_journal-3116	49	32	142	142	NUM
american_scientific_journal-3116	49	33	𝛂𝛂	𝛂𝛂	NOUN
american_scientific_journal-3116	49	34	:	:	PUNCT
american_scientific_journal-3116	49	35	𝐈𝐈	𝐈𝐈	PROPN
american_scientific_journal-3116	49	36	⊂	⊂	PROPN
american_scientific_journal-3116	49	37	𝐂𝐂	𝐂𝐂	PROPN
american_scientific_journal-3116	49	38	→	→	SYM
american_scientific_journal-3116	49	39	𝐓𝐓𝓜𝓜	𝐓𝐓𝓜𝓜	PROPN
american_scientific_journal-3116	49	40	be	be	AUX
american_scientific_journal-3116	49	41	an	an	DET
american_scientific_journal-3116	49	42	integral	integral	ADJ
american_scientific_journal-3116	49	43	curve	curve	NOUN
american_scientific_journal-3116	49	44	of	of	ADP
american_scientific_journal-3116	49	45	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	49	46	vector	vector	NOUN
american_scientific_journal-3116	49	47	field	field	NOUN
american_scientific_journal-3116	49	48	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	49	49	,	,	PUNCT
american_scientific_journal-3116	49	50	i.e.	i.e.	X
american_scientific_journal-3116	49	51	,	,	PUNCT
american_scientific_journal-3116	49	52	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	PROPN
american_scientific_journal-3116	49	53	�	�	PROPN
american_scientific_journal-3116	49	54	𝛂𝛂(𝐭𝐭)	𝛂𝛂(𝐭𝐭)	PROPN
american_scientific_journal-3116	49	55	�	�	PROPN
american_scientific_journal-3116	49	56	=	=	SYM
american_scientific_journal-3116	49	57	�	�	PROPN
american_scientific_journal-3116	49	58	̇	̇	PROPN
american_scientific_journal-3116	49	59	�	�	PROPN
american_scientific_journal-3116	49	60	𝛂	𝛂	PROPN
american_scientific_journal-3116	49	61	,	,	PUNCT
american_scientific_journal-3116	49	62	𝐭𝐭	𝐭𝐭	ADP
american_scientific_journal-3116	49	63	∈	∈	PROPN
american_scientific_journal-3116	49	64	𝐈𝐈.	𝐈𝐈.	X
american_scientific_journal-3116	49	65	in	in	ADP
american_scientific_journal-3116	49	66	the	the	DET
american_scientific_journal-3116	49	67	local	local	ADJ
american_scientific_journal-3116	49	68	coordinates	coordinate	NOUN
american_scientific_journal-3116	49	69	we	we	PRON
american_scientific_journal-3116	49	70	have	have	VERB
american_scientific_journal-3116	49	71	𝛂𝛂(𝐭𝐭	𝛂𝛂(𝐭𝐭	VERB
american_scientific_journal-3116	49	72	)	)	PUNCT
american_scientific_journal-3116	49	73	=	=	SYM
american_scientific_journal-3116	49	74	�	�	PROPN
american_scientific_journal-3116	49	75	𝐳𝐳𝐢𝐢(𝐭𝐭),𝐳𝐳	𝐳𝐳𝐢𝐢(𝐭𝐭),𝐳𝐳	PROPN
american_scientific_journal-3116	49	76	�	�	PROPN
american_scientific_journal-3116	49	77	𝐢𝐢(𝐭𝐭),𝐱𝐱𝐢𝐢(𝐭𝐭),𝐱𝐱	𝐢𝐢(𝐭𝐭),𝐱𝐱𝐢𝐢(𝐭𝐭),𝐱𝐱	NOUN
american_scientific_journal-3116	49	78	�	�	PROPN
american_scientific_journal-3116	49	79	𝐢𝐢(𝐭𝐭),𝐲𝐲𝐢𝐢(𝐭𝐭),𝐲𝐲	𝐢𝐢(𝐭𝐭),𝐲𝐲𝐢𝐢(𝐭𝐭),𝐲𝐲	PROPN
american_scientific_journal-3116	49	80	�	�	NOUN
american_scientific_journal-3116	49	81	𝐢𝐢(𝐭𝐭	𝐢𝐢(𝐭𝐭	ADJ
american_scientific_journal-3116	49	82	)	)	PUNCT
american_scientific_journal-3116	49	83	�	�	PROPN
american_scientific_journal-3116	49	84	,	,	PUNCT
american_scientific_journal-3116	49	85	and	and	CCONJ
american_scientific_journal-3116	49	86	�	�	PROPN
american_scientific_journal-3116	49	87	̇	̇	PROPN
american_scientific_journal-3116	49	88	�	�	PROPN
american_scientific_journal-3116	49	89	𝛂(𝐭𝐭	𝛂(𝐭𝐭	PROPN
american_scientific_journal-3116	49	90	)	)	PUNCT
american_scientific_journal-3116	50	1	=	=	SYM
american_scientific_journal-3116	50	2	𝐝𝐝𝐳𝐳𝐢𝐢	𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	50	3	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	50	4	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	51	1	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	X
american_scientific_journal-3116	51	2	+	+	CCONJ
american_scientific_journal-3116	51	3	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	51	4	�	�	NOUN
american_scientific_journal-3116	51	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	51	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	51	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	52	1	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	52	2	�	�	PROPN
american_scientific_journal-3116	52	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	52	4	+	+	CCONJ
american_scientific_journal-3116	52	5	𝐝𝐝𝐱𝐱𝐢𝐢	𝐝𝐝𝐱𝐱𝐢𝐢	PROPN
american_scientific_journal-3116	52	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	52	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	53	1	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	53	2	+	+	CCONJ
american_scientific_journal-3116	53	3	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	53	4	�	�	PROPN
american_scientific_journal-3116	53	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	53	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	53	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	53	8	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	53	9	�	�	PROPN
american_scientific_journal-3116	53	10	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	53	11	+	+	NUM
american_scientific_journal-3116	53	12	𝐝𝐝𝐲𝐲𝐢𝐢	𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	53	13	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	53	14	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	53	15	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	54	1	+	+	CCONJ
american_scientific_journal-3116	54	2	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	54	3	�	�	PROPN
american_scientific_journal-3116	54	4	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	54	5	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	54	6	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	54	7	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	54	8	�	�	PROPN
american_scientific_journal-3116	54	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	54	10	(	(	PUNCT
american_scientific_journal-3116	54	11	𝟏𝟏𝟒𝟒	𝟏𝟏𝟒𝟒	NUM
american_scientific_journal-3116	54	12	)	)	PUNCT
american_scientific_journal-3116	54	13	the	the	DET
american_scientific_journal-3116	54	14	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	54	15	vector	vector	NOUN
american_scientific_journal-3116	54	16	field	field	NOUN
american_scientific_journal-3116	54	17	on	on	ADP
american_scientific_journal-3116	54	18	momentum	momentum	NOUN
american_scientific_journal-3116	54	19	space	space	NOUN
american_scientific_journal-3116	54	20	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	54	21	�	�	PROPN
american_scientific_journal-3116	54	22	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	NOUN
american_scientific_journal-3116	54	23	�	�	PROPN
american_scientific_journal-3116	54	24	with	with	ADP
american_scientific_journal-3116	54	25	closed	closed	ADJ
american_scientific_journal-3116	54	26	kaehlerian	kaehlerian	ADJ
american_scientific_journal-3116	54	27	form	form	NOUN
american_scientific_journal-3116	54	28	𝛟𝛟.now	𝛟𝛟.now	NOUN
american_scientific_journal-3116	54	29	,	,	PUNCT
american_scientific_journal-3116	54	30	from	from	ADP
american_scientific_journal-3116	54	31	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	PROPN
american_scientific_journal-3116	54	32	�	�	PROPN
american_scientific_journal-3116	54	33	𝛂𝛂(𝐭𝐭)	𝛂𝛂(𝐭𝐭)	PROPN
american_scientific_journal-3116	54	34	�	�	PROPN
american_scientific_journal-3116	54	35	=	=	SYM
american_scientific_journal-3116	54	36	�	�	PROPN
american_scientific_journal-3116	54	37	̇	̇	PROPN
american_scientific_journal-3116	54	38	�	�	PROPN
american_scientific_journal-3116	54	39	𝛂	𝛂	PROPN
american_scientific_journal-3116	54	40	,	,	PUNCT
american_scientific_journal-3116	54	41	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	54	42	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	54	43	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	54	44	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	54	45	�	�	NOUN
american_scientific_journal-3116	54	46	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	54	47	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	54	48	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NUM
american_scientific_journal-3116	55	1	−	−	PROPN
american_scientific_journal-3116	55	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	55	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	55	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	55	5	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	55	6	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	55	7	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	55	8	�	�	PROPN
american_scientific_journal-3116	55	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	56	1	+	+	CCONJ
american_scientific_journal-3116	56	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	56	3	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	56	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	56	5	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	56	6	�	�	SYM
american_scientific_journal-3116	56	7	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	56	8	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	56	9	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	57	1	−	−	NUM
american_scientific_journal-3116	57	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	57	3	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	57	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	57	5	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	NUM
american_scientific_journal-3116	57	6	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	57	7	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	57	8	�	�	NOUN
american_scientific_journal-3116	57	9	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	57	10	+	+	CCONJ
american_scientific_journal-3116	57	11	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	57	12	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	57	13	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	57	14	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	57	15	�	�	NOUN
american_scientific_journal-3116	57	16	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	57	17	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	57	18	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	57	19	−	−	PROPN
american_scientific_journal-3116	57	20	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	57	21	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	57	22	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	57	23	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	57	24	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	57	25	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	57	26	�	�	PROPN
american_scientific_journal-3116	57	27	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	57	28	=	=	PUNCT
american_scientific_journal-3116	57	29	𝐝𝐝𝐳𝐳𝐢𝐢	𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	57	30	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	57	31	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	58	1	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	X
american_scientific_journal-3116	58	2	+	+	CCONJ
american_scientific_journal-3116	58	3	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	NOUN
american_scientific_journal-3116	58	4	�	�	NOUN
american_scientific_journal-3116	58	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	58	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	58	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	59	1	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	59	2	�	�	PROPN
american_scientific_journal-3116	59	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	59	4	+	+	CCONJ
american_scientific_journal-3116	59	5	𝐝𝐝𝐱𝐱𝐢𝐢	𝐝𝐝𝐱𝐱𝐢𝐢	PROPN
american_scientific_journal-3116	59	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	59	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	60	1	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	ADJ
american_scientific_journal-3116	60	2	+	+	CCONJ
american_scientific_journal-3116	60	3	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	60	4	�	�	PROPN
american_scientific_journal-3116	60	5	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	60	6	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	60	7	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	60	8	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	60	9	�	�	PROPN
american_scientific_journal-3116	60	10	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	60	11	+	+	NUM
american_scientific_journal-3116	60	12	𝐝𝐝𝐲𝐲𝐢𝐢	𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	60	13	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	60	14	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	60	15	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	61	1	+	+	CCONJ
american_scientific_journal-3116	61	2	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	61	3	�	�	PROPN
american_scientific_journal-3116	61	4	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	61	5	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	61	6	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	62	1	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	62	2	�	�	PROPN
american_scientific_journal-3116	62	3	𝐢𝐢	𝐢𝐢	PUNCT
american_scientific_journal-3116	62	4	then	then	ADV
american_scientific_journal-3116	62	5	we	we	PRON
american_scientific_journal-3116	62	6	infer	infer	VERB
american_scientific_journal-3116	62	7	the	the	DET
american_scientific_journal-3116	62	8	following	follow	VERB
american_scientific_journal-3116	62	9	equations	equation	NOUN
american_scientific_journal-3116	62	10	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	62	11	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	62	12	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	62	13	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	62	14	�	�	NOUN
american_scientific_journal-3116	62	15	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	62	16	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	62	17	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	62	18	=	=	PROPN
american_scientific_journal-3116	62	19	𝐝𝐝𝐳𝐳𝐢𝐢	𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	62	20	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	62	21	𝛛𝛛	𝛛𝛛	PROPN
american_scientific_journal-3116	62	22	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	62	23	→	→	SYM
american_scientific_journal-3116	62	24	𝐝𝐝𝐳𝐳𝐢𝐢	𝐝𝐝𝐳𝐳𝐢𝐢	PROPN
american_scientific_journal-3116	62	25	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	63	1	=	=	PUNCT
american_scientific_journal-3116	63	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	63	3	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	63	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	63	5	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	63	6	�	�	NOUN
american_scientific_journal-3116	63	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	63	8	−	−	NUM
american_scientific_journal-3116	63	9	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	63	10	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	63	11	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	63	12	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	63	13	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	63	14	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	NUM
american_scientific_journal-3116	63	15	�	�	PROPN
american_scientific_journal-3116	63	16	𝐢𝐢	𝐢𝐢	X
american_scientific_journal-3116	63	17	=	=	SYM
american_scientific_journal-3116	63	18	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	63	19	�	�	PROPN
american_scientific_journal-3116	63	20	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	63	21	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	63	22	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	64	1	𝛛𝛛𝐳𝐳	𝛛𝛛𝐳𝐳	X
american_scientific_journal-3116	64	2	�	�	PROPN
american_scientific_journal-3116	64	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	64	4	→	→	SYM
american_scientific_journal-3116	64	5	𝐝𝐝𝐳𝐳	𝐝𝐝𝐳𝐳	PROPN
american_scientific_journal-3116	64	6	�	�	PROPN
american_scientific_journal-3116	64	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	64	8	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	65	1	=	=	PUNCT
american_scientific_journal-3116	66	1	−	−	PROPN
american_scientific_journal-3116	66	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	66	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	66	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	66	5	𝛛𝛛𝐳𝐳𝐢𝐢	𝛛𝛛𝐳𝐳𝐢𝐢	NOUN
american_scientific_journal-3116	67	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	67	2	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	67	3	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	67	4	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	67	5	�	�	SYM
american_scientific_journal-3116	67	6	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	67	7	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	67	8	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	PROPN
american_scientific_journal-3116	67	9	=	=	PUNCT
american_scientific_journal-3116	67	10	𝐝𝐝𝐱𝐱𝐢𝐢	𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	67	11	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	67	12	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	68	1	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	X
american_scientific_journal-3116	68	2	→	→	SYM
american_scientific_journal-3116	68	3	𝐝𝐝𝐱𝐱𝐢𝐢	𝐝𝐝𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	68	4	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	69	1	=	=	PUNCT
american_scientific_journal-3116	69	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	69	3	𝐢𝐢	𝐢𝐢	ADP
american_scientific_journal-3116	69	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	69	5	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	69	6	�	�	NOUN
american_scientific_journal-3116	69	7	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	69	8	−	−	PROPN
american_scientific_journal-3116	69	9	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	69	10	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	69	11	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	69	12	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	NUM
american_scientific_journal-3116	69	13	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	69	14	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	69	15	�	�	NOUN
american_scientific_journal-3116	69	16	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	69	17	=	=	SYM
american_scientific_journal-3116	69	18	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	69	19	�	�	PROPN
american_scientific_journal-3116	69	20	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	69	21	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	69	22	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	69	23	𝛛𝛛𝐱𝐱	𝛛𝛛𝐱𝐱	NUM
american_scientific_journal-3116	69	24	�	�	PROPN
american_scientific_journal-3116	69	25	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	69	26	→	→	SYM
american_scientific_journal-3116	69	27	𝐝𝐝𝐱𝐱	𝐝𝐝𝐱𝐱	PROPN
american_scientific_journal-3116	69	28	�	�	PROPN
american_scientific_journal-3116	69	29	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	69	30	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	70	1	=	=	PUNCT
american_scientific_journal-3116	71	1	−	−	PROPN
american_scientific_journal-3116	71	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	71	3	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	71	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	71	5	𝛛𝛛𝐱𝐱𝐢𝐢	𝛛𝛛𝐱𝐱𝐢𝐢	NOUN
american_scientific_journal-3116	71	6	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	71	7	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	71	8	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	71	9	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	71	10	�	�	NOUN
american_scientific_journal-3116	71	11	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	71	12	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	71	13	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	71	14	=	=	PROPN
american_scientific_journal-3116	71	15	𝐝𝐝𝐲𝐲𝐢𝐢	𝐝𝐝𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	71	16	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	PROPN
american_scientific_journal-3116	71	17	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	71	18	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	PROPN
american_scientific_journal-3116	71	19	→	→	SYM
american_scientific_journal-3116	71	20	𝐝𝐝𝐲𝐲𝐢𝐢	𝐝𝐝𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	71	21	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	72	1	=	=	PUNCT
american_scientific_journal-3116	73	1	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	73	2	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	73	3	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	73	4	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	73	5	�	�	NOUN
american_scientific_journal-3116	73	6	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	73	7	−	−	NUM
american_scientific_journal-3116	73	8	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	73	9	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	73	10	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	73	11	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	73	12	𝛛𝛛	𝛛𝛛	NOUN
american_scientific_journal-3116	73	13	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	73	14	�	�	PROPN
american_scientific_journal-3116	73	15	𝐢𝐢	𝐢𝐢	NOUN
american_scientific_journal-3116	73	16	=	=	SYM
american_scientific_journal-3116	73	17	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	73	18	�	�	PROPN
american_scientific_journal-3116	73	19	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	73	20	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	73	21	𝛛𝛛	𝛛𝛛	X
american_scientific_journal-3116	73	22	𝛛𝛛𝐲𝐲	𝛛𝛛𝐲𝐲	NUM
american_scientific_journal-3116	73	23	�	�	PROPN
american_scientific_journal-3116	73	24	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	73	25	→	→	SYM
american_scientific_journal-3116	73	26	𝐝𝐝𝐲𝐲	𝐝𝐝𝐲𝐲	PROPN
american_scientific_journal-3116	73	27	�	�	PROPN
american_scientific_journal-3116	73	28	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	73	29	𝐝𝐝𝐭𝐭	𝐝𝐝𝐭𝐭	NOUN
american_scientific_journal-3116	74	1	=	=	PUNCT
american_scientific_journal-3116	75	1	−	−	PROPN
american_scientific_journal-3116	75	2	𝟏𝟏	𝟏𝟏	NUM
american_scientific_journal-3116	75	3	𝐢𝐢	𝐢𝐢	PROPN
american_scientific_journal-3116	75	4	𝛛𝛛𝐇𝐇	𝛛𝛛𝐇𝐇	NUM
american_scientific_journal-3116	75	5	𝛛𝛛𝐲𝐲𝐢𝐢	𝛛𝛛𝐲𝐲𝐢𝐢	NOUN
american_scientific_journal-3116	75	6	which	which	PRON
american_scientific_journal-3116	75	7	are	be	AUX
american_scientific_journal-3116	75	8	called	call	VERB
american_scientific_journal-3116	75	9	complex	complex	ADJ
american_scientific_journal-3116	75	10	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	75	11	equations	equation	NOUN
american_scientific_journal-3116	75	12	on	on	ADP
american_scientific_journal-3116	75	13	momentum	momentum	NOUN
american_scientific_journal-3116	75	14	space	space	NOUN
american_scientific_journal-3116	75	15	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	75	16	�	�	PROPN
american_scientific_journal-3116	75	17	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	NOUN
american_scientific_journal-3116	75	18	�	�	PROPN
american_scientific_journal-3116	75	19	.	.	PUNCT
american_scientific_journal-3116	76	1	we	we	PRON
american_scientific_journal-3116	76	2	have	have	VERB
american_scientific_journal-3116	76	3	the	the	DET
american_scientific_journal-3116	76	4	complex	complex	ADJ
american_scientific_journal-3116	76	5	american	american	ADJ
american_scientific_journal-3116	76	6	scientific	scientific	ADJ
american_scientific_journal-3116	76	7	research	research	NOUN
american_scientific_journal-3116	76	8	journal	journal	NOUN
american_scientific_journal-3116	76	9	for	for	ADP
american_scientific_journal-3116	76	10	engineering	engineering	NOUN
american_scientific_journal-3116	76	11	,	,	PUNCT
american_scientific_journal-3116	76	12	technology	technology	NOUN
american_scientific_journal-3116	76	13	,	,	PUNCT
american_scientific_journal-3116	76	14	and	and	CCONJ
american_scientific_journal-3116	76	15	sciences	science	NOUN
american_scientific_journal-3116	76	16	(	(	PUNCT
american_scientific_journal-3116	76	17	asrjets	asrjet	NOUN
american_scientific_journal-3116	76	18	)	)	PUNCT
american_scientific_journal-3116	76	19	(	(	PUNCT
american_scientific_journal-3116	76	20	2017	2017	NUM
american_scientific_journal-3116	76	21	)	)	PUNCT
american_scientific_journal-3116	76	22	volume	volume	NOUN
american_scientific_journal-3116	76	23	34	34	NUM
american_scientific_journal-3116	76	24	,	,	PUNCT
american_scientific_journal-3116	76	25	no	no	DET
american_scientific_journal-3116	76	26	1	1	NUM
american_scientific_journal-3116	76	27	,	,	PUNCT
american_scientific_journal-3116	76	28	pp	pp	ADJ
american_scientific_journal-3116	76	29	138	138	NUM
american_scientific_journal-3116	76	30	-	-	SYM
american_scientific_journal-3116	76	31	143	143	NUM
american_scientific_journal-3116	76	32	143	143	NUM
american_scientific_journal-3116	76	33	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	76	34	equations	equation	NOUN
american_scientific_journal-3116	76	35	given	give	VERB
american_scientific_journal-3116	76	36	by	by	ADP
american_scientific_journal-3116	76	37	dz	dz	PROPN
american_scientific_journal-3116	76	38	�	�	PROPN
american_scientific_journal-3116	76	39	i	i	PRON
american_scientific_journal-3116	76	40	dt	dt	NOUN
american_scientific_journal-3116	77	1	=	=	SYM
american_scientific_journal-3116	78	1	1	1	NUM
american_scientific_journal-3116	79	1	i	i	PRON
american_scientific_journal-3116	79	2	∂h	∂h	PROPN
american_scientific_journal-3116	79	3	∂zi	∂zi	PROPN
american_scientific_journal-3116	79	4	,	,	PUNCT
american_scientific_journal-3116	79	5	dzi	dzi	X
american_scientific_journal-3116	79	6	dt	dt	NOUN
american_scientific_journal-3116	80	1	=	=	SYM
american_scientific_journal-3116	80	2	−	−	PROPN
american_scientific_journal-3116	80	3	1	1	NUM
american_scientific_journal-3116	81	1	i	i	PRON
american_scientific_journal-3116	81	2	∂h	∂h	PROPN
american_scientific_journal-3116	81	3	∂z	∂z	PROPN
american_scientific_journal-3116	81	4	�	�	PROPN
american_scientific_journal-3116	81	5	i	i	PROPN
american_scientific_journal-3116	81	6	d𝑥𝑥i	d𝑥𝑥i	NOUN
american_scientific_journal-3116	81	7	dt	dt	NOUN
american_scientific_journal-3116	82	1	=	=	SYM
american_scientific_journal-3116	82	2	1	1	NUM
american_scientific_journal-3116	83	1	i	i	PRON
american_scientific_journal-3116	83	2	∂h	∂h	PROPN
american_scientific_journal-3116	83	3	∂	∂	NUM
american_scientific_journal-3116	83	4	�	�	PROPN
american_scientific_journal-3116	83	5	̅	̅	NOUN
american_scientific_journal-3116	83	6	�	�	NOUN
american_scientific_journal-3116	83	7	𝑥i	𝑥i	ADP
american_scientific_journal-3116	83	8	,	,	PUNCT
american_scientific_journal-3116	83	9	d	d	NOUN
american_scientific_journal-3116	83	10	�	�	PROPN
american_scientific_journal-3116	83	11	̅	̅	NOUN
american_scientific_journal-3116	83	12	�	�	NOUN
american_scientific_journal-3116	83	13	𝑥i	𝑥i	ADP
american_scientific_journal-3116	83	14	dt	dt	NOUN
american_scientific_journal-3116	83	15	=	=	SYM
american_scientific_journal-3116	83	16	−	−	PROPN
american_scientific_journal-3116	83	17	1	1	NUM
american_scientific_journal-3116	84	1	i	i	PRON
american_scientific_journal-3116	84	2	∂h	∂h	PROPN
american_scientific_journal-3116	84	3	∂𝑥𝑥i	∂𝑥𝑥i	VERB
american_scientific_journal-3116	84	4	d𝑦𝑦i	d𝑦𝑦i	NOUN
american_scientific_journal-3116	84	5	dt	dt	NOUN
american_scientific_journal-3116	84	6	=	=	SYM
american_scientific_journal-3116	84	7	1	1	NUM
american_scientific_journal-3116	85	1	i	i	PRON
american_scientific_journal-3116	85	2	∂h	∂h	PROPN
american_scientific_journal-3116	85	3	∂𝑦𝑦	∂𝑦𝑦	PROPN
american_scientific_journal-3116	85	4	�	�	PROPN
american_scientific_journal-3116	85	5	i	i	PROPN
american_scientific_journal-3116	85	6	,	,	PUNCT
american_scientific_journal-3116	85	7	d𝑦𝑦	d𝑦𝑦	PROPN
american_scientific_journal-3116	85	8	�	�	PROPN
american_scientific_journal-3116	85	9	i	i	PRON
american_scientific_journal-3116	85	10	dt	dt	NOUN
american_scientific_journal-3116	86	1	=	=	PUNCT
american_scientific_journal-3116	86	2	−	−	PROPN
american_scientific_journal-3116	86	3	1	1	NUM
american_scientific_journal-3116	87	1	i	i	PRON
american_scientific_journal-3116	87	2	∂h	∂h	VERB
american_scientific_journal-3116	87	3	∂𝑦𝑦i	∂𝑦𝑦i	X
american_scientific_journal-3116	87	4	(	(	PUNCT
american_scientific_journal-3116	87	5	15	15	NUM
american_scientific_journal-3116	87	6	)	)	PUNCT
american_scientific_journal-3116	87	7	thus	thus	ADV
american_scientific_journal-3116	87	8	,	,	PUNCT
american_scientific_journal-3116	87	9	by	by	ADP
american_scientific_journal-3116	87	10	complex	complex	ADJ
american_scientific_journal-3116	87	11	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	87	12	equations	equation	NOUN
american_scientific_journal-3116	87	13	,	,	PUNCT
american_scientific_journal-3116	87	14	we	we	PRON
american_scientific_journal-3116	87	15	may	may	AUX
american_scientific_journal-3116	87	16	call	call	VERB
american_scientific_journal-3116	87	17	the	the	DET
american_scientific_journal-3116	87	18	equations	equation	NOUN
american_scientific_journal-3116	87	19	obtained	obtain	VERB
american_scientific_journal-3116	87	20	in	in	ADP
american_scientific_journal-3116	87	21	(	(	PUNCT
american_scientific_journal-3116	87	22	15	15	NUM
american_scientific_journal-3116	87	23	)	)	PUNCT
american_scientific_journal-3116	87	24	on	on	ADP
american_scientific_journal-3116	87	25	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	87	26	�	�	PROPN
american_scientific_journal-3116	87	27	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	87	28	�	�	PROPN
american_scientific_journal-3116	87	29	.	.	PUNCT
american_scientific_journal-3116	88	1	then	then	ADV
american_scientific_journal-3116	88	2	the	the	DET
american_scientific_journal-3116	88	3	quartet	quartet	NOUN
american_scientific_journal-3116	88	4	(	(	PUNCT
american_scientific_journal-3116	88	5	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	88	6	�	�	PROPN
american_scientific_journal-3116	88	7	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	88	8	�	�	PROPN
american_scientific_journal-3116	88	9	,𝛟𝛟𝐇𝐇	,𝛟𝛟𝐇𝐇	PUNCT
american_scientific_journal-3116	88	10	,	,	PUNCT
american_scientific_journal-3116	88	11	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	88	12	)	)	PUNCT
american_scientific_journal-3116	88	13	is	be	AUX
american_scientific_journal-3116	88	14	named	name	VERB
american_scientific_journal-3116	88	15	mechanical	mechanical	ADJ
american_scientific_journal-3116	88	16	system	system	NOUN
american_scientific_journal-3116	88	17	with	with	ADP
american_scientific_journal-3116	88	18	4	4	NUM
american_scientific_journal-3116	88	19	.	.	PUNCT
american_scientific_journal-3116	88	20	conclusions	conclusion	NOUN
american_scientific_journal-3116	88	21	the	the	DET
american_scientific_journal-3116	88	22	solutions	solution	NOUN
american_scientific_journal-3116	88	23	of	of	ADP
american_scientific_journal-3116	88	24	the	the	DET
american_scientific_journal-3116	88	25	hamiltonian	hamiltonian	ADJ
american_scientific_journal-3116	88	26	equations	equation	NOUN
american_scientific_journal-3116	88	27	determined	determine	VERB
american_scientific_journal-3116	88	28	by	by	ADP
american_scientific_journal-3116	88	29	(	(	PUNCT
american_scientific_journal-3116	88	30	15	15	NUM
american_scientific_journal-3116	88	31	)	)	PUNCT
american_scientific_journal-3116	88	32	on	on	ADP
american_scientific_journal-3116	88	33	the	the	DET
american_scientific_journal-3116	88	34	mechanical	mechanical	ADJ
american_scientific_journal-3116	88	35	system	system	NOUN
american_scientific_journal-3116	88	36	(	(	PUNCT
american_scientific_journal-3116	88	37	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	88	38	�	�	PROPN
american_scientific_journal-3116	88	39	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	88	40	�	�	NOUN
american_scientific_journal-3116	88	41	,𝛟𝛟𝐋𝐋	,𝛟𝛟𝐋𝐋	PUNCT
american_scientific_journal-3116	88	42	,	,	PUNCT
american_scientific_journal-3116	88	43	𝐙𝐙𝐇𝐇)are	𝐙𝐙𝐇𝐇)are	PROPN
american_scientific_journal-3116	88	44	the	the	DET
american_scientific_journal-3116	88	45	paths	path	NOUN
american_scientific_journal-3116	88	46	of	of	ADP
american_scientific_journal-3116	88	47	vector	vector	NOUN
american_scientific_journal-3116	88	48	field	field	NOUN
american_scientific_journal-3116	88	49	𝐙𝐙𝐇𝐇	𝐙𝐙𝐇𝐇	NOUN
american_scientific_journal-3116	88	50	on	on	ADP
american_scientific_journal-3116	88	51	𝐓𝐓𝐜𝐜∗	𝐓𝐓𝐜𝐜∗	PROPN
american_scientific_journal-3116	88	52	�	�	PROPN
american_scientific_journal-3116	88	53	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	𝐉𝐉(𝟐𝟐,𝟎𝟎)𝓜𝓜	PROPN
american_scientific_journal-3116	88	54	�	�	PROPN
american_scientific_journal-3116	88	55	.	.	PUNCT
american_scientific_journal-3116	89	1	references	reference	NOUN
american_scientific_journal-3116	89	2	[	[	X
american_scientific_journal-3116	89	3	1	1	NUM
american_scientific_journal-3116	89	4	]	]	X
american_scientific_journal-3116	89	5	violeta	violeta	PROPN
american_scientific_journal-3116	89	6	,	,	PUNCT
american_scientific_journal-3116	89	7	zalutchi	zalutchi	PROPN
american_scientific_journal-3116	89	8	,	,	PUNCT
american_scientific_journal-3116	89	9	(	(	PUNCT
american_scientific_journal-3116	89	10	2010),the	2010),the	DET
american_scientific_journal-3116	89	11	geometry	geometry	NOUN
american_scientific_journal-3116	89	12	of	of	ADP
american_scientific_journal-3116	89	13	(	(	PUNCT
american_scientific_journal-3116	89	14	2	2	NUM
american_scientific_journal-3116	89	15	;	;	PUNCT
american_scientific_journal-3116	89	16	0)-jet	0)-jet	NOUN
american_scientific_journal-3116	89	17	bundles	bundle	NOUN
american_scientific_journal-3116	89	18	,	,	PUNCT
american_scientific_journal-3116	89	19	university	university	NOUN
american_scientific_journal-3116	89	20	"	"	PUNCT
american_scientific_journal-3116	89	21	transilvania	transilvania	PROPN
american_scientific_journal-3116	89	22	of	of	ADP
american_scientific_journal-3116	89	23	brasov	brasov	NOUN
american_scientific_journal-3116	89	24	,	,	PUNCT
american_scientific_journal-3116	89	25	of	of	ADP
american_scientific_journal-3116	89	26	brasov	brasov	NOUN
american_scientific_journal-3116	89	27	,	,	PUNCT
american_scientific_journal-3116	89	28	faculty	faculty	NOUN
american_scientific_journal-3116	89	29	of	of	ADP
american_scientific_journal-3116	89	30	mathematics	mathematic	NOUN
american_scientific_journal-3116	89	31	and	and	CCONJ
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american_scientific_journal-3116	89	33	-	-	PUNCT
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american_scientific_journal-3116	90	3	]	]	PUNCT
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american_scientific_journal-3116	91	13	-	-	SYM
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american_scientific_journal-3116	94	35	-	-	PUNCT
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