id	sid	tid	token	lemma	pos
iajs-2380	1	1	341	341	NUM
iajs-2380	1	2	ibn	ibn	PROPN
iajs-2380	1	3	al	al	PROPN
iajs-2380	1	4	-	-	PUNCT
iajs-2380	1	5	haitham	haitham	PROPN
iajs-2380	1	6	jour	jour	X
iajs-2380	1	7	.	.	PROPN
iajs-2380	1	8	for	for	ADP
iajs-2380	1	9	pure	pure	ADJ
iajs-2380	1	10	&	&	CCONJ
iajs-2380	1	11	appl	appl	PROPN
iajs-2380	1	12	.	.	PUNCT
iajs-2380	2	1	sci	sci	PROPN
iajs-2380	2	2	.	.	PROPN
iajs-2380	3	1	33	33	NUM
iajs-2380	3	2	(	(	PUNCT
iajs-2380	3	3	1	1	NUM
iajs-2380	3	4	)	)	PUNCT
iajs-2380	3	5	2020	2020	NUM
iajs-2380	3	6	j.	j.	PROPN
iajs-2380	3	7	a.	a.	PROPN
iajs-2380	3	8	al	al	PROPN
iajs-2380	3	9	-	-	PUNCT
iajs-2380	3	10	hawasy	hawasy	PROPN
iajs-2380	3	11	doaa	doaa	VERB
iajs-2380	3	12	kateb	kateb	PROPN
iajs-2380	3	13	jasim	jasim	PROPN
iajs-2380	3	14	abstract	abstract	NOUN
iajs-2380	3	15	in	in	ADP
iajs-2380	3	16	this	this	DET
iajs-2380	3	17	paper	paper	NOUN
iajs-2380	3	18	the	the	DET
iajs-2380	3	19	galerkin	galerkin	ADJ
iajs-2380	3	20	method	method	NOUN
iajs-2380	3	21	is	be	AUX
iajs-2380	3	22	used	use	VERB
iajs-2380	3	23	to	to	PART
iajs-2380	3	24	prove	prove	VERB
iajs-2380	3	25	the	the	DET
iajs-2380	3	26	existence	existence	NOUN
iajs-2380	3	27	and	and	CCONJ
iajs-2380	3	28	uniqueness	uniqueness	NOUN
iajs-2380	3	29	theorem	theorem	VERB
iajs-2380	3	30	for	for	ADP
iajs-2380	3	31	the	the	DET
iajs-2380	3	32	solution	solution	NOUN
iajs-2380	3	33	of	of	ADP
iajs-2380	3	34	the	the	DET
iajs-2380	3	35	state	state	NOUN
iajs-2380	3	36	vector	vector	NOUN
iajs-2380	3	37	of	of	ADP
iajs-2380	3	38	the	the	DET
iajs-2380	3	39	triple	triple	ADJ
iajs-2380	3	40	linear	linear	ADJ
iajs-2380	3	41	elliptic	elliptic	ADJ
iajs-2380	3	42	partial	partial	ADJ
iajs-2380	3	43	differential	differential	ADJ
iajs-2380	3	44	equations	equation	NOUN
iajs-2380	3	45	for	for	ADP
iajs-2380	3	46	fixed	fix	VERB
iajs-2380	3	47	continuous	continuous	ADJ
iajs-2380	3	48	classical	classical	ADJ
iajs-2380	3	49	optimal	optimal	ADJ
iajs-2380	3	50	control	control	NOUN
iajs-2380	3	51	vector	vector	NOUN
iajs-2380	3	52	.	.	PUNCT
iajs-2380	4	1	also	also	ADV
iajs-2380	4	2	,	,	PUNCT
iajs-2380	4	3	the	the	DET
iajs-2380	4	4	existence	existence	NOUN
iajs-2380	4	5	theorem	theorem	NOUN
iajs-2380	4	6	of	of	ADP
iajs-2380	4	7	a	a	DET
iajs-2380	4	8	continuous	continuous	ADJ
iajs-2380	4	9	classical	classical	ADJ
iajs-2380	4	10	optimal	optimal	ADJ
iajs-2380	4	11	control	control	NOUN
iajs-2380	4	12	vector	vector	NOUN
iajs-2380	4	13	related	relate	VERB
iajs-2380	4	14	with	with	ADP
iajs-2380	4	15	the	the	DET
iajs-2380	4	16	triple	triple	ADJ
iajs-2380	4	17	linear	linear	ADJ
iajs-2380	4	18	equations	equation	NOUN
iajs-2380	4	19	of	of	ADP
iajs-2380	4	20	elliptic	elliptic	ADJ
iajs-2380	4	21	types	type	NOUN
iajs-2380	4	22	is	be	AUX
iajs-2380	4	23	proved	prove	VERB
iajs-2380	4	24	.	.	PUNCT
iajs-2380	5	1	the	the	DET
iajs-2380	5	2	existence	existence	NOUN
iajs-2380	5	3	of	of	ADP
iajs-2380	5	4	a	a	DET
iajs-2380	5	5	unique	unique	ADJ
iajs-2380	5	6	solution	solution	NOUN
iajs-2380	5	7	for	for	ADP
iajs-2380	5	8	the	the	DET
iajs-2380	5	9	triple	triple	ADJ
iajs-2380	5	10	adjoint	adjoint	NOUN
iajs-2380	5	11	equations	equation	NOUN
iajs-2380	5	12	related	relate	VERB
iajs-2380	5	13	with	with	ADP
iajs-2380	5	14	the	the	DET
iajs-2380	5	15	considered	consider	VERB
iajs-2380	5	16	triple	triple	NOUN
iajs-2380	5	17	of	of	ADP
iajs-2380	5	18	the	the	DET
iajs-2380	5	19	state	state	NOUN
iajs-2380	5	20	equations	equation	NOUN
iajs-2380	5	21	is	be	AUX
iajs-2380	5	22	studied	study	VERB
iajs-2380	5	23	.	.	PUNCT
iajs-2380	6	1	the	the	DET
iajs-2380	6	2	fréchet	fréchet	NOUN
iajs-2380	6	3	derivative	derivative	NOUN
iajs-2380	6	4	of	of	ADP
iajs-2380	6	5	the	the	DET
iajs-2380	6	6	cost	cost	NOUN
iajs-2380	6	7	function	function	NOUN
iajs-2380	6	8	is	be	AUX
iajs-2380	6	9	derived	derive	VERB
iajs-2380	6	10	.	.	PUNCT
iajs-2380	7	1	finally	finally	ADV
iajs-2380	7	2	the	the	DET
iajs-2380	7	3	theorem	theorem	NOUN
iajs-2380	7	4	of	of	ADP
iajs-2380	7	5	necessary	necessary	ADJ
iajs-2380	7	6	conditions	condition	NOUN
iajs-2380	7	7	for	for	ADP
iajs-2380	7	8	optimality	optimality	NOUN
iajs-2380	7	9	of	of	ADP
iajs-2380	7	10	the	the	DET
iajs-2380	7	11	considered	consider	VERB
iajs-2380	7	12	problem	problem	NOUN
iajs-2380	7	13	is	be	AUX
iajs-2380	7	14	proved	prove	VERB
iajs-2380	7	15	.	.	PUNCT
iajs-2380	8	1	keyword	keyword	NOUN
iajs-2380	8	2	:	:	PUNCT
iajs-2380	8	3	triple	triple	ADJ
iajs-2380	8	4	linear	linear	ADJ
iajs-2380	8	5	equations	equation	NOUN
iajs-2380	8	6	of	of	ADP
iajs-2380	8	7	elliptic	elliptic	ADJ
iajs-2380	8	8	type	type	NOUN
iajs-2380	8	9	,	,	PUNCT
iajs-2380	8	10	optimal	optimal	ADJ
iajs-2380	8	11	control	control	NOUN
iajs-2380	8	12	(	(	PUNCT
iajs-2380	8	13	vector	vector	NOUN
iajs-2380	8	14	)	)	PUNCT
iajs-2380	8	15	of	of	ADP
iajs-2380	8	16	continuous	continuous	ADJ
iajs-2380	8	17	classical	classical	ADJ
iajs-2380	8	18	type	type	NOUN
iajs-2380	8	19	.	.	PUNCT
iajs-2380	9	1	1	1	X
iajs-2380	9	2	.	.	X
iajs-2380	9	3	introduction	introduction	NOUN
iajs-2380	9	4	optimal	optimal	ADJ
iajs-2380	9	5	control	control	NOUN
iajs-2380	9	6	problems	problem	NOUN
iajs-2380	9	7	are	be	AUX
iajs-2380	9	8	a	a	DET
iajs-2380	9	9	fundamental	fundamental	ADJ
iajs-2380	9	10	tool	tool	NOUN
iajs-2380	9	11	in	in	ADP
iajs-2380	9	12	many	many	ADJ
iajs-2380	9	13	fields	field	NOUN
iajs-2380	9	14	of	of	ADP
iajs-2380	9	15	applied	apply	VERB
iajs-2380	9	16	mathematics	mathematic	NOUN
iajs-2380	9	17	and	and	CCONJ
iajs-2380	9	18	taken	take	VERB
iajs-2380	9	19	an	an	DET
iajs-2380	9	20	important	important	ADJ
iajs-2380	9	21	role	role	NOUN
iajs-2380	9	22	in	in	ADP
iajs-2380	9	23	many	many	ADJ
iajs-2380	9	24	aspects	aspect	NOUN
iajs-2380	9	25	of	of	ADP
iajs-2380	9	26	life	life	NOUN
iajs-2380	9	27	,	,	PUNCT
iajs-2380	9	28	for	for	ADP
iajs-2380	9	29	example	example	NOUN
iajs-2380	9	30	in	in	ADP
iajs-2380	9	31	an	an	DET
iajs-2380	9	32	electric	electric	ADJ
iajs-2380	9	33	power	power	NOUN
iajs-2380	9	34	[	[	X
iajs-2380	9	35	1	1	NUM
iajs-2380	9	36	]	]	PUNCT
iajs-2380	9	37	.	.	PUNCT
iajs-2380	10	1	in	in	ADP
iajs-2380	10	2	robotics	robotic	NOUN
iajs-2380	10	3	[	[	X
iajs-2380	10	4	2	2	NUM
iajs-2380	10	5	]	]	PUNCT
iajs-2380	10	6	.	.	PUNCT
iajs-2380	11	1	in	in	ADP
iajs-2380	11	2	biology	biology	NOUN
iajs-2380	11	3	[	[	X
iajs-2380	11	4	3	3	NUM
iajs-2380	11	5	]	]	PUNCT
iajs-2380	11	6	.	.	PUNCT
iajs-2380	12	1	in	in	ADP
iajs-2380	12	2	economic	economic	ADJ
iajs-2380	12	3	[	[	X
iajs-2380	12	4	4	4	NUM
iajs-2380	12	5	]	]	PUNCT
iajs-2380	12	6	.	.	PUNCT
iajs-2380	13	1	in	in	ADP
iajs-2380	13	2	medicine	medicine	NOUN
iajs-2380	13	3	as	as	ADP
iajs-2380	13	4	[	[	X
iajs-2380	13	5	5	5	NUM
iajs-2380	13	6	]	]	PUNCT
iajs-2380	13	7	.	.	PUNCT
iajs-2380	14	1	in	in	ADP
iajs-2380	14	2	heat	heat	NOUN
iajs-2380	14	3	condition	condition	NOUN
iajs-2380	14	4	[	[	X
iajs-2380	14	5	6	6	NUM
iajs-2380	14	6	]	]	PUNCT
iajs-2380	14	7	.	.	PUNCT
iajs-2380	15	1	and	and	CCONJ
iajs-2380	15	2	in	in	ADP
iajs-2380	15	3	many	many	ADJ
iajs-2380	15	4	others	other	NOUN
iajs-2380	15	5	aspects	aspect	NOUN
iajs-2380	15	6	.	.	PUNCT
iajs-2380	16	1	this	this	DET
iajs-2380	16	2	importance	importance	NOUN
iajs-2380	16	3	encouraged	encourage	VERB
iajs-2380	16	4	researchers	researcher	NOUN
iajs-2380	16	5	to	to	PART
iajs-2380	16	6	study	study	VERB
iajs-2380	16	7	problems	problem	NOUN
iajs-2380	16	8	for	for	ADP
iajs-2380	16	9	the	the	DET
iajs-2380	16	10	optimal	optimal	ADJ
iajs-2380	16	11	control	control	NOUN
iajs-2380	16	12	related	relate	VERB
iajs-2380	16	13	with	with	ADP
iajs-2380	16	14	nonlinear	nonlinear	ADJ
iajs-2380	16	15	ordinary	ordinary	ADJ
iajs-2380	16	16	differential	differential	ADJ
iajs-2380	16	17	equations	equation	NOUN
iajs-2380	16	18	[	[	X
iajs-2380	16	19	7	7	NUM
iajs-2380	16	20	]	]	PUNCT
iajs-2380	16	21	.	.	PUNCT
iajs-2380	17	1	or	or	CCONJ
iajs-2380	17	2	related	relate	VERB
iajs-2380	17	3	with	with	ADP
iajs-2380	17	4	different	different	ADJ
iajs-2380	17	5	types	type	NOUN
iajs-2380	17	6	of	of	ADP
iajs-2380	17	7	nonlinear	nonlinear	ADJ
iajs-2380	17	8	partial	partial	ADJ
iajs-2380	17	9	differential	differential	NOUN
iajs-2380	17	10	equation	equation	NOUN
iajs-2380	17	11	as	as	ADP
iajs-2380	17	12	hyperbolic	hyperbolic	ADJ
iajs-2380	17	13	,	,	PUNCT
iajs-2380	17	14	parabolic	parabolic	ADJ
iajs-2380	17	15	,	,	PUNCT
iajs-2380	17	16	elliptic	elliptic	ADJ
iajs-2380	17	17	[	[	X
iajs-2380	17	18	810	810	NUM
iajs-2380	17	19	]	]	PUNCT
iajs-2380	17	20	.	.	PUNCT
iajs-2380	18	1	or	or	CCONJ
iajs-2380	18	2	related	relate	VERB
iajs-2380	18	3	with	with	ADP
iajs-2380	18	4	couple	couple	NOUN
iajs-2380	18	5	of	of	ADP
iajs-2380	18	6	nonlinear	nonlinear	ADJ
iajs-2380	18	7	hyperbolic	hyperbolic	ADJ
iajs-2380	18	8	,	,	PUNCT
iajs-2380	18	9	parabolic	parabolic	ADJ
iajs-2380	18	10	and	and	CCONJ
iajs-2380	18	11	elliptic	elliptic	ADJ
iajs-2380	18	12	partial	partial	ADJ
iajs-2380	18	13	differential	differential	NOUN
iajs-2380	18	14	equation	equation	NOUN
iajs-2380	18	15	[	[	X
iajs-2380	18	16	11	11	NUM
iajs-2380	18	17	-	-	SYM
iajs-2380	18	18	13	13	NUM
iajs-2380	18	19	]	]	PUNCT
iajs-2380	18	20	.	.	PUNCT
iajs-2380	19	1	while	while	SCONJ
iajs-2380	19	2	many	many	ADJ
iajs-2380	19	3	others	other	NOUN
iajs-2380	19	4	researchers	researcher	NOUN
iajs-2380	19	5	studied	study	VERB
iajs-2380	19	6	the	the	DET
iajs-2380	19	7	numann	numann	NOUN
iajs-2380	19	8	boundary	boundary	PROPN
iajs-2380	19	9	optimal	optimal	ADJ
iajs-2380	19	10	control	control	NOUN
iajs-2380	19	11	problems	problem	NOUN
iajs-2380	19	12	related	relate	VERB
iajs-2380	19	13	with	with	ADP
iajs-2380	19	14	couple	couple	NOUN
iajs-2380	19	15	of	of	ADP
iajs-2380	19	16	nonlinear	nonlinear	ADJ
iajs-2380	19	17	hyperbolic	hyperbolic	ADJ
iajs-2380	19	18	,	,	PUNCT
iajs-2380	19	19	parabolic	parabolic	ADJ
iajs-2380	19	20	and	and	CCONJ
iajs-2380	19	21	elliptic	elliptic	ADJ
iajs-2380	19	22	partial	partial	ADJ
iajs-2380	19	23	differential	differential	NOUN
iajs-2380	19	24	equation	equation	NOUN
iajs-2380	19	25	[	[	X
iajs-2380	19	26	14	14	NUM
iajs-2380	19	27	-	-	SYM
iajs-2380	19	28	16	16	NUM
iajs-2380	19	29	]	]	PUNCT
iajs-2380	19	30	.	.	PUNCT
iajs-2380	20	1	this	this	DET
iajs-2380	20	2	article	article	NOUN
iajs-2380	20	3	deals	deal	VERB
iajs-2380	20	4	with	with	ADP
iajs-2380	20	5	;	;	PUNCT
iajs-2380	20	6	the	the	DET
iajs-2380	20	7	existence	existence	NOUN
iajs-2380	20	8	theorem	theorem	VERB
iajs-2380	20	9	for	for	ADP
iajs-2380	20	10	a	a	DET
iajs-2380	20	11	unique	unique	ADJ
iajs-2380	20	12	solution	solution	NOUN
iajs-2380	20	13	(	(	PUNCT
iajs-2380	20	14	continuous	continuous	ADJ
iajs-2380	20	15	state	state	NOUN
iajs-2380	20	16	vector	vector	NOUN
iajs-2380	20	17	(	(	PUNCT
iajs-2380	20	18	csv	csv	NOUN
iajs-2380	20	19	)	)	PUNCT
iajs-2380	20	20	)	)	PUNCT
iajs-2380	20	21	for	for	ADP
iajs-2380	20	22	the	the	DET
iajs-2380	20	23	triple	triple	ADJ
iajs-2380	20	24	linear	linear	ADJ
iajs-2380	20	25	elliptic	elliptic	ADJ
iajs-2380	20	26	partial	partial	ADJ
iajs-2380	20	27	differential	differential	NOUN
iajs-2380	20	28	equations	equation	NOUN
iajs-2380	20	29	(	(	PUNCT
iajs-2380	20	30	tlepdeqs	tlepdeq	NOUN
iajs-2380	20	31	)	)	PUNCT
iajs-2380	20	32	is	be	AUX
iajs-2380	20	33	sated	sate	VERB
iajs-2380	20	34	,	,	PUNCT
iajs-2380	20	35	studied	study	VERB
iajs-2380	20	36	and	and	CCONJ
iajs-2380	20	37	proved	prove	VERB
iajs-2380	20	38	by	by	ADP
iajs-2380	20	39	using	use	VERB
iajs-2380	20	40	the	the	DET
iajs-2380	20	41	galerkin	galerkin	ADJ
iajs-2380	20	42	method	method	NOUN
iajs-2380	20	43	(	(	PUNCT
iajs-2380	20	44	gm	gm	PROPN
iajs-2380	20	45	)	)	PUNCT
iajs-2380	20	46	for	for	ADP
iajs-2380	20	47	fixed	fix	VERB
iajs-2380	20	48	continuous	continuous	ADJ
iajs-2380	20	49	classical	classical	ADJ
iajs-2380	20	50	optimal	optimal	ADJ
iajs-2380	20	51	control	control	NOUN
iajs-2380	20	52	vector	vector	NOUN
iajs-2380	20	53	(	(	PUNCT
iajs-2380	20	54	ccocv	ccocv	NOUN
iajs-2380	20	55	)	)	PUNCT
iajs-2380	20	56	.	.	PUNCT
iajs-2380	21	1	the	the	DET
iajs-2380	21	2	existence	existence	NOUN
iajs-2380	21	3	theorem	theorem	VERB
iajs-2380	21	4	for	for	ADP
iajs-2380	21	5	a	a	DET
iajs-2380	21	6	continuous	continuous	ADJ
iajs-2380	21	7	classical	classical	ADJ
iajs-2380	21	8	optimal	optimal	ADJ
iajs-2380	21	9	control	control	NOUN
iajs-2380	21	10	vector	vector	NOUN
iajs-2380	21	11	(	(	PUNCT
iajs-2380	21	12	ccocv	ccocv	NOUN
iajs-2380	21	13	)	)	PUNCT
iajs-2380	21	14	related	relate	VERB
iajs-2380	21	15	with	with	ADP
iajs-2380	21	16	the	the	DET
iajs-2380	21	17	tlepdeqs	tlepdeq	NOUN
iajs-2380	21	18	is	be	AUX
iajs-2380	21	19	state	state	NOUN
iajs-2380	21	20	and	and	CCONJ
iajs-2380	21	21	proved	prove	VERB
iajs-2380	21	22	.	.	PUNCT
iajs-2380	22	1	the	the	DET
iajs-2380	22	2	existence	existence	NOUN
iajs-2380	22	3	for	for	ADP
iajs-2380	22	4	the	the	DET
iajs-2380	22	5	unique	unique	ADJ
iajs-2380	22	6	solution	solution	NOUN
iajs-2380	22	7	of	of	ADP
iajs-2380	22	8	the	the	DET
iajs-2380	22	9	triple	triple	ADJ
iajs-2380	22	10	adjoint	adjoint	PROPN
iajs-2380	22	11	equations	equation	NOUN
iajs-2380	22	12	(	(	PUNCT
iajs-2380	22	13	taeqs	taeq	NOUN
iajs-2380	22	14	)	)	PUNCT
iajs-2380	22	15	which	which	PRON
iajs-2380	22	16	corresponds	correspond	VERB
iajs-2380	22	17	to	to	ADP
iajs-2380	22	18	the	the	DET
iajs-2380	22	19	tlepdeqs	tlepdeq	NOUN
iajs-2380	22	20	is	be	AUX
iajs-2380	22	21	studied	study	VERB
iajs-2380	22	22	.	.	PUNCT
iajs-2380	23	1	the	the	DET
iajs-2380	23	2	fréchet	fréchet	NOUN
iajs-2380	23	3	derivative	derivative	NOUN
iajs-2380	23	4	(	(	PUNCT
iajs-2380	23	5	fd	fd	PROPN
iajs-2380	23	6	)	)	PUNCT
iajs-2380	23	7	of	of	ADP
iajs-2380	23	8	the	the	DET
iajs-2380	23	9	cost	cost	NOUN
iajs-2380	23	10	function	function	NOUN
iajs-2380	23	11	is	be	AUX
iajs-2380	23	12	ibn	ibn	PROPN
iajs-2380	23	13	al	al	PROPN
iajs-2380	23	14	haitham	haitham	PROPN
iajs-2380	23	15	journal	journal	PROPN
iajs-2380	23	16	for	for	ADP
iajs-2380	23	17	pure	pure	ADJ
iajs-2380	23	18	and	and	CCONJ
iajs-2380	23	19	applied	apply	VERB
iajs-2380	23	20	science	science	NOUN
iajs-2380	23	21	journal	journal	PROPN
iajs-2380	23	22	homepage	homepage	NOUN
iajs-2380	23	23	:	:	PUNCT
iajs-2380	23	24	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2380	23	25	doi	doi	NOUN
iajs-2380	23	26	:	:	PUNCT
iajs-2380	23	27	10.30526/33.1.2380	10.30526/33.1.2380	PROPN
iajs-2380	23	28	department	department	NOUN
iajs-2380	23	29	of	of	ADP
iajs-2380	23	30	mathematics	mathematics	PROPN
iajs-2380	23	31	,	,	PUNCT
iajs-2380	23	32	college	college	NOUN
iajs-2380	23	33	of	of	ADP
iajs-2380	23	34	science	science	NOUN
iajs-2380	23	35	,	,	PUNCT
iajs-2380	23	36	university	university	NOUN
iajs-2380	23	37	of	of	ADP
iajs-2380	23	38	mustansiriyah	mustansiriyah	NOUN
iajs-2380	23	39	jhawassy17@uomustansiriyah.edu.iq	jhawassy17@uomustansiriyah.edu.iq	PROPN
iajs-2380	23	40	hawasy20@yahoo.com	hawasy20@yahoo.com	X
iajs-2380	23	41	the	the	DET
iajs-2380	23	42	continuous	continuous	ADJ
iajs-2380	23	43	classical	classical	ADJ
iajs-2380	23	44	optimal	optimal	ADJ
iajs-2380	23	45	control	control	NOUN
iajs-2380	23	46	problems	problem	NOUN
iajs-2380	23	47	for	for	ADP
iajs-2380	23	48	triple	triple	ADJ
iajs-2380	23	49	elliptic	elliptic	ADJ
iajs-2380	23	50	partial	partial	ADJ
iajs-2380	23	51	differential	differential	NOUN
iajs-2380	23	52	equations	equation	NOUN
iajs-2380	23	53	article	article	NOUN
iajs-2380	23	54	history	history	NOUN
iajs-2380	23	55	:	:	PUNCT
iajs-2380	23	56	received	receive	VERB
iajs-2380	23	57	13	13	NUM
iajs-2380	23	58	may	may	PROPN
iajs-2380	23	59	2019	2019	NUM
iajs-2380	23	60	,	,	PUNCT
iajs-2380	23	61	accepted	accept	VERB
iajs-2380	23	62	11	11	NUM
iajs-2380	23	63	june	june	PROPN
iajs-2380	23	64	2019	2019	NUM
iajs-2380	23	65	,	,	PUNCT
iajs-2380	23	66	publish	publish	VERB
iajs-2380	23	67	january	january	PROPN
iajs-2380	23	68	2020	2020	NUM
iajs-2380	23	69	.	.	PUNCT
iajs-2380	24	1	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/jhawassy17@uomustansiriyah.edu.iq	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/jhawassy17@uomustansiriyah.edu.iq	ADJ
iajs-2380	24	2	,	,	PUNCT
iajs-2380	24	3	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/jhawassy17@uomustansiriyah.edu.iq	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/jhawassy17@uomustansiriyah.edu.iq	PROPN
iajs-2380	24	4	,	,	PUNCT
iajs-2380	24	5	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/hawasy20@yahoo.com	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/hawasy20@yahoo.com	PROPN
iajs-2380	24	6	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/hawasy20@yahoo.com	file:///c:/users/المجلة/desktop/عدد%20خاص/new%20folder/العدد%20كامل%20ومعدل/hawasy20@yahoo.com	PROPN
iajs-2380	24	7	344	344	NUM
iajs-2380	24	8	ibn	ibn	PROPN
iajs-2380	24	9	al	al	PROPN
iajs-2380	24	10	-	-	PUNCT
iajs-2380	24	11	haitham	haitham	PROPN
iajs-2380	24	12	jour	jour	X
iajs-2380	24	13	.	.	PROPN
iajs-2380	25	1	for	for	ADP
iajs-2380	25	2	pure	pure	ADJ
iajs-2380	25	3	&	&	CCONJ
iajs-2380	25	4	appl	appl	PROPN
iajs-2380	25	5	.	.	PUNCT
iajs-2380	26	1	sci	sci	PROPN
iajs-2380	26	2	.	.	PROPN
iajs-2380	27	1	33	33	NUM
iajs-2380	27	2	(	(	PUNCT
iajs-2380	27	3	1	1	NUM
iajs-2380	27	4	)	)	PUNCT
iajs-2380	27	5	2020	2020	NUM
iajs-2380	27	6	derived	derive	VERB
iajs-2380	27	7	;	;	PUNCT
iajs-2380	27	8	finally	finally	ADV
iajs-2380	27	9	the	the	DET
iajs-2380	27	10	theorem	theorem	NOUN
iajs-2380	27	11	for	for	ADP
iajs-2380	27	12	necessary	necessary	ADJ
iajs-2380	27	13	conditions	condition	NOUN
iajs-2380	27	14	of	of	ADP
iajs-2380	27	15	optimality	optimality	NOUN
iajs-2380	27	16	(	(	PUNCT
iajs-2380	27	17	nco	nco	NOUN
iajs-2380	27	18	)	)	PUNCT
iajs-2380	27	19	is	be	AUX
iajs-2380	27	20	stated	state	VERB
iajs-2380	27	21	and	and	CCONJ
iajs-2380	27	22	proved	prove	VERB
iajs-2380	27	23	.	.	PUNCT
iajs-2380	28	1	2	2	X
iajs-2380	28	2	.	.	X
iajs-2380	28	3	problem	problem	NOUN
iajs-2380	28	4	description	description	NOUN
iajs-2380	28	5	let	let	VERB
iajs-2380	28	6	λ	λ	PART
iajs-2380	28	7	be	be	AUX
iajs-2380	28	8	a	a	DET
iajs-2380	28	9	bounded	bounded	ADJ
iajs-2380	28	10	and	and	CCONJ
iajs-2380	28	11	open	open	ADJ
iajs-2380	28	12	connected	connected	ADJ
iajs-2380	28	13	subset	subset	NOUN
iajs-2380	28	14	in	in	ADP
iajs-2380	28	15	with	with	ADP
iajs-2380	28	16	lipschitz	lipschitz	NOUN
iajs-2380	28	17	boundary	boundary	NOUN
iajs-2380	28	18	∂λ	∂λ	PROPN
iajs-2380	28	19	.	.	PUNCT
iajs-2380	28	20	consider	consider	VERB
iajs-2380	28	21	the	the	DET
iajs-2380	28	22	ccocv	ccocv	NOUN
iajs-2380	28	23	of	of	ADP
iajs-2380	28	24	the	the	DET
iajs-2380	28	25	tlepdeqs	tlepdeq	NOUN
iajs-2380	28	26	(	(	PUNCT
iajs-2380	28	27	1	1	NUM
iajs-2380	28	28	)	)	PUNCT
iajs-2380	28	29	(	(	PUNCT
iajs-2380	28	30	2	2	NUM
iajs-2380	28	31	)	)	PUNCT
iajs-2380	28	32	(	(	PUNCT
iajs-2380	28	33	3	3	X
iajs-2380	28	34	)	)	PUNCT
iajs-2380	28	35	with	with	ADP
iajs-2380	28	36	the	the	DET
iajs-2380	28	37	dirchlet	dirchlet	ADJ
iajs-2380	28	38	boundary	boundary	ADJ
iajs-2380	28	39	condition	condition	NOUN
iajs-2380	28	40	,	,	PUNCT
iajs-2380	28	41	in	in	ADP
iajs-2380	28	42	∂λ	∂λ	PROPN
iajs-2380	28	43	(	(	PUNCT
iajs-2380	28	44	4	4	NUM
iajs-2380	28	45	)	)	PUNCT
iajs-2380	28	46	where	where	SCONJ
iajs-2380	28	47	∑	∑	PROPN
iajs-2380	28	48	(	(	PUNCT
iajs-2380	28	49	)	)	PUNCT
iajs-2380	28	50	,	,	PUNCT
iajs-2380	28	51	,	,	PUNCT
iajs-2380	28	52	(	(	PUNCT
iajs-2380	28	53	)	)	PUNCT
iajs-2380	28	54	(	(	PUNCT
iajs-2380	28	55	)	)	PUNCT
iajs-2380	28	56	,	,	PUNCT
iajs-2380	28	57	(	(	PUNCT
iajs-2380	28	58	)	)	PUNCT
iajs-2380	28	59	(	(	PUNCT
iajs-2380	28	60	(	(	PUNCT
iajs-2380	28	61	)	)	PUNCT
iajs-2380	28	62	(	(	PUNCT
iajs-2380	28	63	)	)	PUNCT
iajs-2380	28	64	(	(	PUNCT
iajs-2380	28	65	)	)	PUNCT
iajs-2380	28	66	)	)	PUNCT
iajs-2380	28	67	(	(	PUNCT
iajs-2380	28	68	(	(	PUNCT
iajs-2380	28	69	̅	̅	NOUN
iajs-2380	28	70	)	)	PUNCT
iajs-2380	28	71	)	)	PUNCT
iajs-2380	29	1	(	(	PUNCT
iajs-2380	29	2	the	the	DET
iajs-2380	29	3	system	system	NOUN
iajs-2380	29	4	(	(	PUNCT
iajs-2380	29	5	1	1	NUM
iajs-2380	29	6	-	-	SYM
iajs-2380	29	7	4	4	NUM
iajs-2380	29	8	)	)	PUNCT
iajs-2380	29	9	)	)	PUNCT
iajs-2380	29	10	,	,	PUNCT
iajs-2380	29	11	(	(	PUNCT
iajs-2380	29	12	)	)	PUNCT
iajs-2380	29	13	(	(	PUNCT
iajs-2380	29	14	(	(	PUNCT
iajs-2380	29	15	)	)	PUNCT
iajs-2380	29	16	(	(	PUNCT
iajs-2380	29	17	)	)	PUNCT
iajs-2380	29	18	(	(	PUNCT
iajs-2380	29	19	)	)	PUNCT
iajs-2380	29	20	)	)	PUNCT
iajs-2380	29	21	(	(	PUNCT
iajs-2380	29	22	(	(	PUNCT
iajs-2380	29	23	)	)	PUNCT
iajs-2380	29	24	)	)	PUNCT
iajs-2380	29	25	is	be	AUX
iajs-2380	29	26	the	the	DET
iajs-2380	29	27	classical	classical	ADJ
iajs-2380	29	28	control	control	NOUN
iajs-2380	29	29	vector	vector	NOUN
iajs-2380	29	30	and	and	CCONJ
iajs-2380	29	31	(	(	PUNCT
iajs-2380	29	32	)	)	PUNCT
iajs-2380	29	33	(	(	PUNCT
iajs-2380	29	34	(	(	PUNCT
iajs-2380	29	35	)	)	PUNCT
iajs-2380	29	36	(	(	PUNCT
iajs-2380	29	37	)	)	PUNCT
iajs-2380	29	38	(	(	PUNCT
iajs-2380	29	39	)	)	PUNCT
iajs-2380	29	40	)	)	PUNCT
iajs-2380	30	1	(	(	PUNCT
iajs-2380	30	2	(	(	PUNCT
iajs-2380	30	3	)	)	PUNCT
iajs-2380	30	4	)	)	PUNCT
iajs-2380	30	5	is	be	AUX
iajs-2380	30	6	a	a	DET
iajs-2380	30	7	vector	vector	NOUN
iajs-2380	30	8	of	of	ADP
iajs-2380	30	9	a	a	DET
iajs-2380	30	10	given	give	VERB
iajs-2380	30	11	function	function	NOUN
iajs-2380	30	12	,	,	PUNCT
iajs-2380	30	13	for	for	ADP
iajs-2380	30	14	all	all	PRON
iajs-2380	30	15	(	(	PUNCT
iajs-2380	30	16	)	)	PUNCT
iajs-2380	30	17	.	.	PUNCT
iajs-2380	31	1	the	the	DET
iajs-2380	31	2	set	set	NOUN
iajs-2380	31	3	of	of	ADP
iajs-2380	31	4	admissible	admissible	ADJ
iajs-2380	31	5	control	control	NOUN
iajs-2380	31	6	is	be	AUX
iajs-2380	31	7	⃗⃗	⃗⃗	NOUN
iajs-2380	31	8	(	(	PUNCT
iajs-2380	31	9	(	(	PUNCT
iajs-2380	31	10	)	)	PUNCT
iajs-2380	31	11	)	)	PUNCT
iajs-2380	31	12	,	,	PUNCT
iajs-2380	31	13	such	such	ADJ
iajs-2380	31	14	that	that	SCONJ
iajs-2380	31	15	⃗⃗	⃗⃗	NOUN
iajs-2380	31	16	{	{	PUNCT
iajs-2380	31	17	(	(	PUNCT
iajs-2380	31	18	)	)	PUNCT
iajs-2380	31	19	(	(	PUNCT
iajs-2380	31	20	(	(	PUNCT
iajs-2380	31	21	)	)	PUNCT
iajs-2380	31	22	)	)	PUNCT
iajs-2380	32	1	|	|	ADV
iajs-2380	32	2	(	(	PUNCT
iajs-2380	32	3	)	)	PUNCT
iajs-2380	32	4	⃗⃗	⃗⃗	NOUN
iajs-2380	32	5	}	}	PUNCT
iajs-2380	32	6	where	where	SCONJ
iajs-2380	32	7	is	be	AUX
iajs-2380	32	8	convex	convex	NOUN
iajs-2380	32	9	set	set	NOUN
iajs-2380	32	10	.	.	PUNCT
iajs-2380	33	1	the	the	DET
iajs-2380	33	2	cost	cost	NOUN
iajs-2380	33	3	functional	functional	NOUN
iajs-2380	33	4	is	be	AUX
iajs-2380	33	5	(	(	PUNCT
iajs-2380	33	6	⃗	⃗	PROPN
iajs-2380	33	7	)	)	PUNCT
iajs-2380	34	1	‖	‖	PROPN
iajs-2380	35	1	‖	‖	PROPN
iajs-2380	35	2	‖	‖	PROPN
iajs-2380	35	3	‖	‖	PROPN
iajs-2380	35	4	‖	‖	PROPN
iajs-2380	35	5	‖	‖	PROPN
iajs-2380	35	6	‖	‖	PROPN
iajs-2380	35	7	‖	‖	PROPN
iajs-2380	35	8	‖	‖	PROPN
iajs-2380	35	9	‖	‖	PROPN
iajs-2380	35	10	‖	‖	PROPN
iajs-2380	35	11	‖	‖	PROPN
iajs-2380	35	12	⃗	⃗	PROPN
iajs-2380	35	13	⃗⃗	⃗⃗	PROPN
iajs-2380	35	14	(	(	PUNCT
iajs-2380	35	15	)	)	PUNCT
iajs-2380	35	16	where	where	SCONJ
iajs-2380	35	17	α	α	NOUN
iajs-2380	35	18	is	be	AUX
iajs-2380	35	19	a	a	DET
iajs-2380	35	20	positive	positive	ADJ
iajs-2380	35	21	real	real	ADJ
iajs-2380	35	22	number	number	NOUN
iajs-2380	35	23	,	,	PUNCT
iajs-2380	35	24	⃗⃗	⃗⃗	PROPN
iajs-2380	35	25	is	be	AUX
iajs-2380	35	26	the	the	DET
iajs-2380	35	27	solution	solution	NOUN
iajs-2380	35	28	vector	vector	NOUN
iajs-2380	35	29	of	of	ADP
iajs-2380	35	30	(	(	PUNCT
iajs-2380	35	31	1	1	NUM
iajs-2380	35	32	-4	-4	NOUN
iajs-2380	35	33	)	)	PUNCT
iajs-2380	35	34	corresponding	correspond	VERB
iajs-2380	35	35	to	to	ADP
iajs-2380	35	36	the	the	DET
iajs-2380	35	37	continuous	continuous	ADJ
iajs-2380	35	38	classical	classical	ADJ
iajs-2380	35	39	control	control	NOUN
iajs-2380	35	40	vector	vector	NOUN
iajs-2380	35	41	(	(	PUNCT
iajs-2380	35	42	ccv	ccv	PROPN
iajs-2380	35	43	)	)	PUNCT
iajs-2380	35	44	⃗	⃗	PROPN
iajs-2380	35	45	and	and	CCONJ
iajs-2380	35	46	(	(	PUNCT
iajs-2380	35	47	)	)	PUNCT
iajs-2380	35	48	is	be	AUX
iajs-2380	35	49	a	a	DET
iajs-2380	35	50	vector	vector	NOUN
iajs-2380	35	51	of	of	ADP
iajs-2380	35	52	desired	desire	VERB
iajs-2380	35	53	date	date	NOUN
iajs-2380	35	54	.	.	PUNCT
iajs-2380	36	1	the	the	DET
iajs-2380	36	2	ccocv	ccocv	ADJ
iajs-2380	36	3	problem	problem	NOUN
iajs-2380	36	4	is	be	AUX
iajs-2380	36	5	to	to	PART
iajs-2380	36	6	minimize	minimize	VERB
iajs-2380	36	7	(	(	PUNCT
iajs-2380	36	8	⃗	⃗	PROPN
iajs-2380	36	9	)	)	PUNCT
iajs-2380	36	10	(	(	PUNCT
iajs-2380	36	11	5	5	X
iajs-2380	36	12	)	)	PUNCT
iajs-2380	36	13	subject	subject	NOUN
iajs-2380	36	14	to	to	ADP
iajs-2380	36	15	⃗⃗	⃗⃗	PROPN
iajs-2380	36	16	(	(	PUNCT
iajs-2380	36	17	)	)	PUNCT
iajs-2380	36	18	⃗⃗	⃗⃗	PROPN
iajs-2380	36	19	.	.	PUNCT
iajs-2380	37	1	let	let	VERB
iajs-2380	37	2	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	37	3	(	(	PUNCT
iajs-2380	37	4	)	)	PUNCT
iajs-2380	37	5	(	(	PUNCT
iajs-2380	37	6	)	)	PUNCT
iajs-2380	37	7	(	(	PUNCT
iajs-2380	37	8	)	)	PUNCT
iajs-2380	37	9	.we	.we	PUNCT
iajs-2380	38	1	denote	denote	VERB
iajs-2380	38	2	by	by	ADP
iajs-2380	38	3	(	(	PUNCT
iajs-2380	38	4	)	)	PUNCT
iajs-2380	38	5	and	and	CCONJ
iajs-2380	38	6	‖	‖	PROPN
iajs-2380	38	7	‖	‖	PROPN
iajs-2380	38	8	the	the	DET
iajs-2380	38	9	inner	inner	ADJ
iajs-2380	38	10	product	product	NOUN
iajs-2380	38	11	and	and	CCONJ
iajs-2380	38	12	the	the	DET
iajs-2380	38	13	norm	norm	NOUN
iajs-2380	38	14	in	in	ADP
iajs-2380	38	15	(	(	PUNCT
iajs-2380	38	16	)	)	PUNCT
iajs-2380	38	17	,	,	PUNCT
iajs-2380	38	18	by	by	ADP
iajs-2380	38	19	(	(	PUNCT
iajs-2380	38	20	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	21	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	22	)	)	PUNCT
iajs-2380	38	23	,	,	PUNCT
iajs-2380	38	24	‖	‖	PROPN
iajs-2380	38	25	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	26	‖	‖	VERB
iajs-2380	38	27	the	the	DET
iajs-2380	38	28	inner	inner	ADJ
iajs-2380	38	29	product	product	NOUN
iajs-2380	38	30	and	and	CCONJ
iajs-2380	38	31	the	the	DET
iajs-2380	38	32	norm	norm	NOUN
iajs-2380	38	33	in	in	ADP
iajs-2380	38	34	(	(	PUNCT
iajs-2380	38	35	)	)	PUNCT
iajs-2380	38	36	by	by	ADP
iajs-2380	38	37	(	(	PUNCT
iajs-2380	38	38	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	39	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	40	)	)	PUNCT
iajs-2380	38	41	(	(	PUNCT
iajs-2380	38	42	)	)	PUNCT
iajs-2380	38	43	(	(	PUNCT
iajs-2380	38	44	)	)	PUNCT
iajs-2380	38	45	(	(	PUNCT
iajs-2380	38	46	)	)	PUNCT
iajs-2380	38	47	and	and	CCONJ
iajs-2380	38	48	‖	‖	PROPN
iajs-2380	38	49	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	38	50	‖	‖	VERB
iajs-2380	38	51	‖	‖	PROPN
iajs-2380	38	52	‖	‖	PROPN
iajs-2380	38	53	‖	‖	PROPN
iajs-2380	38	54	‖	‖	PROPN
iajs-2380	38	55	‖	‖	PROPN
iajs-2380	38	56	‖	‖	PROPN
iajs-2380	38	57	the	the	DET
iajs-2380	38	58	inner	inner	ADJ
iajs-2380	38	59	product	product	NOUN
iajs-2380	38	60	and	and	CCONJ
iajs-2380	38	61	the	the	DET
iajs-2380	38	62	norm	norm	NOUN
iajs-2380	38	63	in	in	ADP
iajs-2380	38	64	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	38	65	and	and	CCONJ
iajs-2380	38	66	⃗⃗	⃗⃗	PROPN
iajs-2380	38	67	⃗⃗	⃗⃗	PROPN
iajs-2380	38	68	⃗	⃗	PROPN
iajs-2380	38	69	(	(	PUNCT
iajs-2380	38	70	the	the	DET
iajs-2380	38	71	dual	dual	ADJ
iajs-2380	38	72	of	of	ADP
iajs-2380	38	73	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	38	74	)	)	PUNCT
iajs-2380	38	75	.	.	PUNCT
iajs-2380	39	1	3	3	X
iajs-2380	39	2	.	.	X
iajs-2380	39	3	weak	weak	ADJ
iajs-2380	39	4	formulation	formulation	NOUN
iajs-2380	39	5	of	of	ADP
iajs-2380	39	6	the	the	DET
iajs-2380	39	7	tlepdeqs	tlepdeq	NOUN
iajs-2380	39	8	the	the	DET
iajs-2380	39	9	weak	weak	ADJ
iajs-2380	39	10	form	form	NOUN
iajs-2380	39	11	(	(	PUNCT
iajs-2380	39	12	wf	wf	PROPN
iajs-2380	39	13	)	)	PUNCT
iajs-2380	39	14	of	of	ADP
iajs-2380	39	15	problem	problem	NOUN
iajs-2380	39	16	(	(	PUNCT
iajs-2380	39	17	1	1	NUM
iajs-2380	39	18	-	-	SYM
iajs-2380	39	19	4	4	NUM
iajs-2380	39	20	)	)	PUNCT
iajs-2380	39	21	are	be	AUX
iajs-2380	39	22	obtained	obtain	VERB
iajs-2380	39	23	by	by	ADP
iajs-2380	39	24	multiplying	multiply	VERB
iajs-2380	39	25	both	both	DET
iajs-2380	39	26	sides	side	NOUN
iajs-2380	39	27	of	of	ADP
iajs-2380	39	28	equations	equation	NOUN
iajs-2380	39	29	(	(	PUNCT
iajs-2380	39	30	1	1	NUM
iajs-2380	39	31	-	-	SYM
iajs-2380	39	32	3	3	NUM
iajs-2380	39	33	)	)	PUNCT
iajs-2380	39	34	by	by	ADP
iajs-2380	39	35	,	,	PUNCT
iajs-2380	39	36	and	and	CCONJ
iajs-2380	39	37	respectively	respectively	ADV
iajs-2380	39	38	,	,	PUNCT
iajs-2380	39	39	integrating	integrate	VERB
iajs-2380	39	40	the	the	DET
iajs-2380	39	41	obtained	obtain	VERB
iajs-2380	39	42	equations	equation	NOUN
iajs-2380	39	43	and	and	CCONJ
iajs-2380	39	44	finally	finally	ADV
iajs-2380	39	45	using	use	VERB
iajs-2380	39	46	the	the	DET
iajs-2380	39	47	generalize	generalize	VERB
iajs-2380	39	48	green	green	PROPN
iajs-2380	39	49	's	's	PART
iajs-2380	39	50	theorem	theorem	NOUN
iajs-2380	39	51	for	for	ADP
iajs-2380	39	52	the	the	DET
iajs-2380	39	53	1	1	NUM
iajs-2380	39	54	s	s	NOUN
iajs-2380	39	55	t	t	NOUN
iajs-2380	39	56	term	term	NOUN
iajs-2380	39	57	in	in	ADP
iajs-2380	39	58	the	the	DET
iajs-2380	39	59	left	left	ADJ
iajs-2380	39	60	hand	hand	NOUN
iajs-2380	39	61	side	side	NOUN
iajs-2380	39	62	(	(	PUNCT
iajs-2380	39	63	l.h.s	l.h.s	NOUN
iajs-2380	39	64	)	)	PUNCT
iajs-2380	39	65	of	of	ADP
iajs-2380	39	66	the	the	DET
iajs-2380	39	67	three	three	NUM
iajs-2380	39	68	obtained	obtain	VERB
iajs-2380	39	69	equations	equation	NOUN
iajs-2380	39	70	,	,	PUNCT
iajs-2380	39	71	to	to	PART
iajs-2380	39	72	get	get	VERB
iajs-2380	39	73	(	(	PUNCT
iajs-2380	39	74	)	)	PUNCT
iajs-2380	39	75	(	(	PUNCT
iajs-2380	39	76	)	)	PUNCT
iajs-2380	39	77	(	(	PUNCT
iajs-2380	39	78	)	)	PUNCT
iajs-2380	39	79	(	(	PUNCT
iajs-2380	39	80	)	)	PUNCT
iajs-2380	39	81	(	(	PUNCT
iajs-2380	39	82	)	)	PUNCT
iajs-2380	39	83	(	(	PUNCT
iajs-2380	39	84	)	)	PUNCT
iajs-2380	39	85	(	(	PUNCT
iajs-2380	39	86	6	6	NUM
iajs-2380	39	87	)	)	PUNCT
iajs-2380	39	88	(	(	PUNCT
iajs-2380	39	89	)	)	PUNCT
iajs-2380	39	90	(	(	PUNCT
iajs-2380	39	91	)	)	PUNCT
iajs-2380	39	92	(	(	PUNCT
iajs-2380	39	93	)	)	PUNCT
iajs-2380	39	94	(	(	PUNCT
iajs-2380	39	95	)	)	PUNCT
iajs-2380	39	96	(	(	PUNCT
iajs-2380	39	97	)	)	PUNCT
iajs-2380	39	98	(	(	PUNCT
iajs-2380	39	99	)	)	PUNCT
iajs-2380	39	100	(	(	PUNCT
iajs-2380	39	101	7	7	X
iajs-2380	39	102	)	)	PUNCT
iajs-2380	39	103	341	341	NUM
iajs-2380	39	104	ibn	ibn	PROPN
iajs-2380	39	105	al	al	PROPN
iajs-2380	39	106	-	-	PUNCT
iajs-2380	39	107	haitham	haitham	PROPN
iajs-2380	39	108	jour	jour	X
iajs-2380	39	109	.	.	PROPN
iajs-2380	40	1	for	for	ADP
iajs-2380	40	2	pure	pure	ADJ
iajs-2380	40	3	&	&	CCONJ
iajs-2380	40	4	appl	appl	PROPN
iajs-2380	40	5	.	.	PUNCT
iajs-2380	41	1	sci	sci	PROPN
iajs-2380	41	2	.	.	PROPN
iajs-2380	42	1	33	33	NUM
iajs-2380	42	2	(	(	PUNCT
iajs-2380	42	3	1	1	NUM
iajs-2380	42	4	)	)	PUNCT
iajs-2380	42	5	2020	2020	NUM
iajs-2380	42	6	(	(	PUNCT
iajs-2380	42	7	)	)	PUNCT
iajs-2380	42	8	(	(	PUNCT
iajs-2380	42	9	)	)	PUNCT
iajs-2380	42	10	(	(	PUNCT
iajs-2380	42	11	)	)	PUNCT
iajs-2380	42	12	(	(	PUNCT
iajs-2380	42	13	)	)	PUNCT
iajs-2380	42	14	(	(	PUNCT
iajs-2380	42	15	)	)	PUNCT
iajs-2380	42	16	(	(	PUNCT
iajs-2380	42	17	)	)	PUNCT
iajs-2380	42	18	(	(	PUNCT
iajs-2380	42	19	8)	8)	NUM
iajs-2380	42	20	where	where	SCONJ
iajs-2380	42	21	(	(	PUNCT
iajs-2380	42	22	)	)	PUNCT
iajs-2380	42	23	∬	∬	NOUN
iajs-2380	42	24	∑	∑	PUNCT
iajs-2380	42	25	,	,	PUNCT
iajs-2380	42	26	(	(	PUNCT
iajs-2380	42	27	)	)	PUNCT
iajs-2380	42	28	∬	∬	NOUN
iajs-2380	42	29	=(	=(	NOUN
iajs-2380	42	30	)	)	PUNCT
iajs-2380	42	31	,	,	PUNCT
iajs-2380	42	32	blending	blend	VERB
iajs-2380	42	33	to	to	PART
iajs-2380	42	34	gather	gather	VERB
iajs-2380	42	35	equations	equation	NOUN
iajs-2380	42	36	(	(	PUNCT
iajs-2380	42	37	6	6	NUM
iajs-2380	42	38	)	)	PUNCT
iajs-2380	42	39	,	,	PUNCT
iajs-2380	42	40	(	(	PUNCT
iajs-2380	42	41	7	7	X
iajs-2380	42	42	)	)	PUNCT
iajs-2380	42	43	and	and	CCONJ
iajs-2380	42	44	(	(	PUNCT
iajs-2380	42	45	8)	8)	NUM
iajs-2380	42	46	,	,	PUNCT
iajs-2380	42	47	once	once	ADV
iajs-2380	42	48	get	get	VERB
iajs-2380	42	49	(	(	PUNCT
iajs-2380	42	50	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	42	51	)	)	PUNCT
iajs-2380	42	52	̆	̆	PROPN
iajs-2380	42	53	(	(	PUNCT
iajs-2380	42	54	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	42	55	)	)	PUNCT
iajs-2380	42	56	(	(	PUNCT
iajs-2380	42	57	9	9	NUM
iajs-2380	42	58	)	)	PUNCT
iajs-2380	42	59	where	where	SCONJ
iajs-2380	42	60	(	(	PUNCT
iajs-2380	42	61	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	42	62	)	)	PUNCT
iajs-2380	42	63	(	(	PUNCT
iajs-2380	42	64	)	)	PUNCT
iajs-2380	42	65	(	(	PUNCT
iajs-2380	42	66	)	)	PUNCT
iajs-2380	42	67	(	(	PUNCT
iajs-2380	42	68	)	)	PUNCT
iajs-2380	42	69	(	(	PUNCT
iajs-2380	42	70	)	)	PUNCT
iajs-2380	42	71	(	(	PUNCT
iajs-2380	42	72	)	)	PUNCT
iajs-2380	42	73	(	(	PUNCT
iajs-2380	42	74	)	)	PUNCT
iajs-2380	42	75	(	(	PUNCT
iajs-2380	42	76	)	)	PUNCT
iajs-2380	42	77	(	(	PUNCT
iajs-2380	42	78	)	)	PUNCT
iajs-2380	42	79	(	(	PUNCT
iajs-2380	42	80	)	)	PUNCT
iajs-2380	42	81	(	(	PUNCT
iajs-2380	42	82	)	)	PUNCT
iajs-2380	42	83	(	(	PUNCT
iajs-2380	42	84	)	)	PUNCT
iajs-2380	42	85	(	(	PUNCT
iajs-2380	42	86	)	)	PUNCT
iajs-2380	42	87	and	and	CCONJ
iajs-2380	42	88	for	for	ADP
iajs-2380	42	89	fixed	fix	VERB
iajs-2380	42	90	⃗	⃗	PROPN
iajs-2380	42	91	,	,	PUNCT
iajs-2380	42	92	̆	̆	PROPN
iajs-2380	42	93	(	(	PUNCT
iajs-2380	42	94	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	42	95	)	)	PUNCT
iajs-2380	42	96	(	(	PUNCT
iajs-2380	42	97	)	)	PUNCT
iajs-2380	42	98	(	(	PUNCT
iajs-2380	42	99	)	)	PUNCT
iajs-2380	42	100	(	(	PUNCT
iajs-2380	42	101	)	)	PUNCT
iajs-2380	42	102	(	(	PUNCT
iajs-2380	42	103	)	)	PUNCT
iajs-2380	42	104	(	(	PUNCT
iajs-2380	42	105	)	)	PUNCT
iajs-2380	42	106	(	(	PUNCT
iajs-2380	42	107	)	)	PUNCT
iajs-2380	42	108	the	the	DET
iajs-2380	42	109	following	follow	VERB
iajs-2380	42	110	hypotheses	hypothesis	NOUN
iajs-2380	42	111	are	be	AUX
iajs-2380	42	112	useful	useful	ADJ
iajs-2380	42	113	to	to	PART
iajs-2380	42	114	study	study	VERB
iajs-2380	42	115	the	the	DET
iajs-2380	42	116	existence	existence	NOUN
iajs-2380	42	117	of	of	ADP
iajs-2380	42	118	unique	unique	ADJ
iajs-2380	42	119	solution	solution	NOUN
iajs-2380	42	120	for	for	ADP
iajs-2380	42	121	the	the	DET
iajs-2380	42	122	wf	wf	PROPN
iajs-2380	42	123	(	(	PUNCT
iajs-2380	42	124	9	9	NUM
iajs-2380	42	125	)	)	PUNCT
iajs-2380	42	126	.	.	PUNCT
iajs-2380	43	1	hypotheses	hypothesis	NOUN
iajs-2380	43	2	:	:	PUNCT
iajs-2380	43	3	a	a	X
iajs-2380	43	4	)	)	PUNCT
iajs-2380	43	5	(	(	PUNCT
iajs-2380	43	6	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	43	7	)	)	PUNCT
iajs-2380	43	8	is	be	AUX
iajs-2380	43	9	coercive	coercive	ADJ
iajs-2380	43	10	,	,	PUNCT
iajs-2380	43	11	i	i	PRON
iajs-2380	43	12	.e	.e	PROPN
iajs-2380	43	13	.	.	PUNCT
iajs-2380	44	1	(	(	PUNCT
iajs-2380	44	2	)	)	PUNCT
iajs-2380	44	3	‖	‖	PROPN
iajs-2380	44	4	‖	‖	PROPN
iajs-2380	44	5	,	,	PUNCT
iajs-2380	44	6	b	b	NOUN
iajs-2380	44	7	)	)	PUNCT
iajs-2380	45	1	|	|	ADV
iajs-2380	45	2	(	(	PUNCT
iajs-2380	45	3	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	45	4	)	)	PUNCT
iajs-2380	45	5	|	|	ADV
iajs-2380	45	6	‖	‖	PROPN
iajs-2380	45	7	‖	‖	PROPN
iajs-2380	45	8	‖	‖	PROPN
iajs-2380	45	9	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	45	10	‖	‖	ADJ
iajs-2380	45	11	,	,	PUNCT
iajs-2380	45	12	.	.	PUNCT
iajs-2380	46	1	c	c	X
iajs-2380	46	2	)	)	PUNCT
iajs-2380	46	3	̆	̆	PROPN
iajs-2380	46	4	(	(	PUNCT
iajs-2380	46	5	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	46	6	)	)	PUNCT
iajs-2380	46	7	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	46	8	,	,	PUNCT
iajs-2380	46	9	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	46	10	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	46	11	,	,	PUNCT
iajs-2380	46	12	.	.	PUNCT
iajs-2380	47	1	the	the	DET
iajs-2380	47	2	gm	gm	PROPN
iajs-2380	47	3	is	be	AUX
iajs-2380	47	4	used	use	VERB
iajs-2380	47	5	here	here	ADV
iajs-2380	47	6	to	to	PART
iajs-2380	47	7	find	find	VERB
iajs-2380	47	8	the	the	DET
iajs-2380	47	9	solution	solution	NOUN
iajs-2380	47	10	of	of	ADP
iajs-2380	47	11	(	(	PUNCT
iajs-2380	47	12	9	9	NUM
iajs-2380	47	13	)	)	PUNCT
iajs-2380	47	14	,	,	PUNCT
iajs-2380	47	15	this	this	PRON
iajs-2380	47	16	is	be	AUX
iajs-2380	47	17	doing	do	VERB
iajs-2380	47	18	through	through	ADP
iajs-2380	47	19	choosing	choose	VERB
iajs-2380	47	20	a	a	DET
iajs-2380	47	21	finite	finite	PROPN
iajs-2380	47	22	subspace	subspace	PROPN
iajs-2380	47	23	⃗⃗	⃗⃗	PROPN
iajs-2380	47	24	⃗⃗	⃗⃗	PROPN
iajs-2380	47	25	⃗⃗	⃗⃗	PROPN
iajs-2380	47	26	⃗⃗	⃗⃗	PROPN
iajs-2380	47	27	(	(	PUNCT
iajs-2380	47	28	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	47	29	contains	contain	VERB
iajs-2380	47	30	the	the	DET
iajs-2380	47	31	continuous	continuous	ADJ
iajs-2380	47	32	and	and	CCONJ
iajs-2380	47	33	piecewise	piecewise	NOUN
iajs-2380	47	34	affine	affine	NOUN
iajs-2380	47	35	functions	function	NOUN
iajs-2380	47	36	in	in	ADP
iajs-2380	47	37	λ	λ	NOUN
iajs-2380	47	38	)	)	PUNCT
iajs-2380	47	39	,	,	PUNCT
iajs-2380	47	40	hence	hence	ADV
iajs-2380	47	41	the	the	DET
iajs-2380	47	42	problem	problem	NOUN
iajs-2380	47	43	reduces	reduce	VERB
iajs-2380	47	44	to	to	PART
iajs-2380	47	45	find	find	VERB
iajs-2380	47	46	an	an	DET
iajs-2380	47	47	approximate	approximate	ADJ
iajs-2380	47	48	solution	solution	NOUN
iajs-2380	47	49	of	of	ADP
iajs-2380	47	50	the	the	DET
iajs-2380	47	51	following	follow	VERB
iajs-2380	47	52	an	an	DET
iajs-2380	47	53	approximation	approximation	NOUN
iajs-2380	47	54	problem	problem	NOUN
iajs-2380	47	55	(	(	PUNCT
iajs-2380	47	56	⃗⃗	⃗⃗	NOUN
iajs-2380	47	57	⃗	⃗	PROPN
iajs-2380	47	58	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	47	59	)	)	PUNCT
iajs-2380	47	60	̆	̆	PROPN
iajs-2380	47	61	(	(	PUNCT
iajs-2380	47	62	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	47	63	)	)	PUNCT
iajs-2380	47	64	,	,	PUNCT
iajs-2380	47	65	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	47	66	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	47	67	(	(	PUNCT
iajs-2380	47	68	10	10	NUM
iajs-2380	47	69	)	)	PUNCT
iajs-2380	47	70	theorem	theorem	VERB
iajs-2380	47	71	3.1	3.1	NUM
iajs-2380	47	72	:	:	PUNCT
iajs-2380	47	73	for	for	ADP
iajs-2380	47	74	every	every	DET
iajs-2380	47	75	fixed	fix	VERB
iajs-2380	47	76	control	control	NOUN
iajs-2380	47	77	vector	vector	NOUN
iajs-2380	47	78	⃗	⃗	PROPN
iajs-2380	47	79	(	(	PUNCT
iajs-2380	47	80	(	(	PUNCT
iajs-2380	47	81	)	)	PUNCT
iajs-2380	47	82	)	)	PUNCT
iajs-2380	47	83	,	,	PUNCT
iajs-2380	47	84	the	the	DET
iajs-2380	47	85	wf	wf	PROPN
iajs-2380	47	86	(	(	PUNCT
iajs-2380	47	87	10	10	NUM
iajs-2380	47	88	)	)	PUNCT
iajs-2380	47	89	has	have	VERB
iajs-2380	47	90	a	a	DET
iajs-2380	47	91	unique	unique	ADJ
iajs-2380	47	92	approximation	approximation	NOUN
iajs-2380	47	93	solution	solution	NOUN
iajs-2380	47	94	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	47	95	.	.	PUNCT
iajs-2380	48	1	proof	proof	NOUN
iajs-2380	48	2	:	:	PUNCT
iajs-2380	48	3	let	let	VERB
iajs-2380	48	4	{	{	PUNCT
iajs-2380	48	5	⃗⃗	⃗⃗	PROPN
iajs-2380	48	6	⃗⃗	⃗⃗	PROPN
iajs-2380	48	7	⃗⃗	⃗⃗	PROPN
iajs-2380	48	8	}	}	PUNCT
iajs-2380	48	9	be	be	AUX
iajs-2380	48	10	a	a	DET
iajs-2380	48	11	finite	finite	ADJ
iajs-2380	48	12	basis	basis	NOUN
iajs-2380	48	13	of	of	ADP
iajs-2380	48	14	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	48	15	and	and	CCONJ
iajs-2380	48	16	let	let	VERB
iajs-2380	48	17	(	(	PUNCT
iajs-2380	48	18	)	)	PUNCT
iajs-2380	48	19	∑	∑	PROPN
iajs-2380	48	20	⃗⃗	⃗⃗	PROPN
iajs-2380	48	21	(	(	PUNCT
iajs-2380	48	22	)	)	PUNCT
iajs-2380	48	23	(	(	PUNCT
iajs-2380	48	24	∑	∑	PROPN
iajs-2380	48	25	∑	∑	PROPN
iajs-2380	48	26	∑	∑	INTJ
iajs-2380	48	27	)	)	PUNCT
iajs-2380	48	28	(	(	PUNCT
iajs-2380	48	29	11	11	NUM
iajs-2380	48	30	)	)	PUNCT
iajs-2380	49	1	where	where	SCONJ
iajs-2380	49	2	⃗⃗	⃗⃗	PROPN
iajs-2380	49	3	(	(	PUNCT
iajs-2380	49	4	(	(	PUNCT
iajs-2380	49	5	)	)	PUNCT
iajs-2380	49	6	(	(	PUNCT
iajs-2380	49	7	)	)	PUNCT
iajs-2380	49	8	(	(	PUNCT
iajs-2380	49	9	)	)	PUNCT
iajs-2380	49	10	)	)	PUNCT
iajs-2380	49	11	,	,	PUNCT
iajs-2380	49	12	for	for	ADP
iajs-2380	49	13	,	,	PUNCT
iajs-2380	49	14	,	,	PUNCT
iajs-2380	49	15	,	,	PUNCT
iajs-2380	49	16	[	[	X
iajs-2380	49	17	(	(	PUNCT
iajs-2380	49	18	(	(	PUNCT
iajs-2380	49	19	)	)	PUNCT
iajs-2380	49	20	)	)	PUNCT
iajs-2380	49	21	]	]	PUNCT
iajs-2380	49	22	[	[	PUNCT
iajs-2380	49	23	(	(	PUNCT
iajs-2380	49	24	)	)	PUNCT
iajs-2380	49	25	]	]	PUNCT
iajs-2380	49	26	,	,	PUNCT
iajs-2380	49	27	and	and	CCONJ
iajs-2380	49	28	with	with	SCONJ
iajs-2380	49	29	are	be	AUX
iajs-2380	49	30	unknown	unknown	ADJ
iajs-2380	49	31	constants	constant	NOUN
iajs-2380	49	32	.	.	PUNCT
iajs-2380	50	1	by	by	ADP
iajs-2380	50	2	using	use	VERB
iajs-2380	50	3	∑	∑	PROPN
iajs-2380	50	4	⃗⃗	⃗⃗	PROPN
iajs-2380	50	5	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	50	6	⃗⃗	⃗⃗	PROPN
iajs-2380	50	7	,	,	PUNCT
iajs-2380	50	8	in	in	ADP
iajs-2380	50	9	(	(	PUNCT
iajs-2380	50	10	10	10	NUM
iajs-2380	50	11	)	)	PUNCT
iajs-2380	50	12	,	,	PUNCT
iajs-2380	50	13	to	to	PART
iajs-2380	50	14	get	get	VERB
iajs-2380	50	15	(	(	PUNCT
iajs-2380	50	16	∑	∑	PROPN
iajs-2380	50	17	⃗⃗	⃗⃗	PROPN
iajs-2380	50	18	⃗⃗	⃗⃗	PROPN
iajs-2380	50	19	)	)	PUNCT
iajs-2380	50	20	̆	̆	PROPN
iajs-2380	50	21	(	(	PUNCT
iajs-2380	50	22	⃗⃗	⃗⃗	PROPN
iajs-2380	50	23	)	)	PUNCT
iajs-2380	50	24	,	,	PUNCT
iajs-2380	50	25	(	(	PUNCT
iajs-2380	50	26	12	12	NUM
iajs-2380	50	27	)	)	PUNCT
iajs-2380	50	28	which	which	PRON
iajs-2380	50	29	can	can	AUX
iajs-2380	50	30	be	be	AUX
iajs-2380	50	31	rewritten	rewrite	VERB
iajs-2380	50	32	as	as	ADP
iajs-2380	50	33	a	a	DET
iajs-2380	50	34	linear	linear	ADJ
iajs-2380	50	35	algebraic	algebraic	ADJ
iajs-2380	50	36	system	system	NOUN
iajs-2380	50	37	,	,	PUNCT
iajs-2380	50	38	i	i	PRON
iajs-2380	50	39	.e	.e	PROPN
iajs-2380	50	40	.	.	PUNCT
iajs-2380	51	1	(	(	PUNCT
iajs-2380	51	2	13	13	NUM
iajs-2380	51	3	)	)	PUNCT
iajs-2380	51	4	from	from	ADP
iajs-2380	51	5	hypothesis	hypothesis	NOUN
iajs-2380	51	6	(	(	PUNCT
iajs-2380	51	7	a	a	NOUN
iajs-2380	51	8	)	)	PUNCT
iajs-2380	51	9	,	,	PUNCT
iajs-2380	51	10	easily	easily	ADV
iajs-2380	51	11	once	once	ADV
iajs-2380	51	12	obtained	obtain	VERB
iajs-2380	51	13	the	the	DET
iajs-2380	51	14	uniqueness	uniqueness	NOUN
iajs-2380	51	15	of	of	ADP
iajs-2380	51	16	the	the	DET
iajs-2380	51	17	solution	solution	NOUN
iajs-2380	51	18	of	of	ADP
iajs-2380	51	19	problem	problem	NOUN
iajs-2380	51	20	(	(	PUNCT
iajs-2380	51	21	13	13	NUM
iajs-2380	51	22	)	)	PUNCT
iajs-2380	51	23	,	,	PUNCT
iajs-2380	51	24	which	which	PRON
iajs-2380	51	25	gives	give	VERB
iajs-2380	51	26	also	also	ADV
iajs-2380	51	27	the	the	DET
iajs-2380	51	28	uniqueness	uniqueness	NOUN
iajs-2380	51	29	of	of	ADP
iajs-2380	51	30	the	the	DET
iajs-2380	51	31	solution	solution	NOUN
iajs-2380	51	32	of	of	ADP
iajs-2380	51	33	problem	problem	NOUN
iajs-2380	51	34	(	(	PUNCT
iajs-2380	51	35	10	10	NUM
iajs-2380	51	36	)	)	PUNCT
iajs-2380	51	37	.	.	PUNCT
iajs-2380	52	1	341	341	NUM
iajs-2380	52	2	ibn	ibn	PROPN
iajs-2380	52	3	al	al	PROPN
iajs-2380	52	4	-	-	PUNCT
iajs-2380	52	5	haitham	haitham	PROPN
iajs-2380	52	6	jour	jour	X
iajs-2380	52	7	.	.	PROPN
iajs-2380	52	8	for	for	ADP
iajs-2380	52	9	pure	pure	ADJ
iajs-2380	52	10	&	&	CCONJ
iajs-2380	52	11	appl	appl	PROPN
iajs-2380	52	12	.	.	PUNCT
iajs-2380	53	1	sci	sci	PROPN
iajs-2380	53	2	.	.	PROPN
iajs-2380	54	1	33	33	NUM
iajs-2380	54	2	(	(	PUNCT
iajs-2380	54	3	1	1	NUM
iajs-2380	54	4	)	)	PUNCT
iajs-2380	54	5	2020	2020	NUM
iajs-2380	54	6	theorem	theorem	VERB
iajs-2380	54	7	3.2	3.2	NUM
iajs-2380	54	8	(	(	PUNCT
iajs-2380	54	9	)	)	PUNCT
iajs-2380	54	10	,	,	PUNCT
iajs-2380	54	11	for	for	ADP
iajs-2380	54	12	each	each	DET
iajs-2380	54	13	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	54	14	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	54	15	there	there	PRON
iajs-2380	54	16	exists	exist	VERB
iajs-2380	54	17	a	a	DET
iajs-2380	54	18	sequence	sequence	NOUN
iajs-2380	54	19	{	{	PUNCT
iajs-2380	54	20	⃗⃗	⃗⃗	NOUN
iajs-2380	54	21	}	}	PUNCT
iajs-2380	54	22	with	with	ADP
iajs-2380	54	23	⃗⃗	⃗⃗	PROPN
iajs-2380	54	24	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	54	25	for	for	ADP
iajs-2380	54	26	each	each	DET
iajs-2380	54	27	n	n	CCONJ
iajs-2380	54	28	,	,	PUNCT
iajs-2380	54	29	such	such	ADJ
iajs-2380	54	30	that	that	SCONJ
iajs-2380	54	31	⃗⃗	⃗⃗	PROPN
iajs-2380	54	32	→	→	PUNCT
iajs-2380	54	33	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	54	34	strongly	strongly	ADV
iajs-2380	54	35	in	in	ADP
iajs-2380	54	36	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	54	37	.	.	PUNCT
iajs-2380	55	1	now	now	ADV
iajs-2380	55	2	from	from	ADP
iajs-2380	55	3	the	the	DET
iajs-2380	55	4	wf	wf	PROPN
iajs-2380	55	5	(	(	PUNCT
iajs-2380	55	6	10	10	NUM
iajs-2380	55	7	)	)	PUNCT
iajs-2380	55	8	and	and	CCONJ
iajs-2380	55	9	theorem(3.2),once	theorem(3.2),once	ADP
iajs-2380	55	10	get	get	VERB
iajs-2380	55	11	that	that	SCONJ
iajs-2380	55	12	there	there	PRON
iajs-2380	55	13	exists	exist	VERB
iajs-2380	55	14	a	a	DET
iajs-2380	55	15	sequence	sequence	NOUN
iajs-2380	55	16	of	of	ADP
iajs-2380	55	17	wf	wf	PROPN
iajs-2380	55	18	(	(	PUNCT
iajs-2380	55	19	⃗⃗	⃗⃗	PROPN
iajs-2380	55	20	⃗	⃗	PROPN
iajs-2380	55	21	⃗⃗	⃗⃗	PROPN
iajs-2380	55	22	)	)	PUNCT
iajs-2380	55	23	̆	̆	PROPN
iajs-2380	55	24	(	(	PUNCT
iajs-2380	55	25	⃗⃗	⃗⃗	PROPN
iajs-2380	55	26	)	)	PUNCT
iajs-2380	55	27	,	,	PUNCT
iajs-2380	55	28	⃗⃗	⃗⃗	PROPN
iajs-2380	55	29	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	55	30	(	(	PUNCT
iajs-2380	55	31	14	14	NUM
iajs-2380	55	32	)	)	PUNCT
iajs-2380	55	33	which	which	PRON
iajs-2380	55	34	has	have	VERB
iajs-2380	55	35	a	a	DET
iajs-2380	55	36	sequence	sequence	NOUN
iajs-2380	55	37	of	of	ADP
iajs-2380	55	38	solutions	solution	NOUN
iajs-2380	55	39	{	{	PUNCT
iajs-2380	55	40	}	}	PUNCT
iajs-2380	55	41	and	and	CCONJ
iajs-2380	55	42	the	the	DET
iajs-2380	55	43	sequence	sequence	NOUN
iajs-2380	55	44	⃗⃗	⃗⃗	NOUN
iajs-2380	55	45	→	→	SYM
iajs-2380	55	46	⃗⃗⃗	⃗⃗⃗	NOUN
iajs-2380	55	47	strongly	strongly	ADV
iajs-2380	55	48	in	in	ADP
iajs-2380	55	49	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	55	50	.	.	PUNCT
iajs-2380	56	1	theorem	theorem	VERB
iajs-2380	56	2	3.3	3.3	NUM
iajs-2380	56	3	:	:	PUNCT
iajs-2380	56	4	the	the	DET
iajs-2380	56	5	sequence	sequence	NOUN
iajs-2380	56	6	of	of	ADP
iajs-2380	56	7	solutions	solution	NOUN
iajs-2380	56	8	{	{	PUNCT
iajs-2380	56	9	}	}	PUNCT
iajs-2380	56	10	converges	converge	VERB
iajs-2380	56	11	strongly	strongly	ADV
iajs-2380	56	12	to	to	ADP
iajs-2380	56	13	the	the	DET
iajs-2380	56	14	solution	solution	NOUN
iajs-2380	56	15	(	(	PUNCT
iajs-2380	56	16	)	)	PUNCT
iajs-2380	56	17	.	.	PUNCT
iajs-2380	57	1	proof	proof	NOUN
iajs-2380	57	2	:	:	PUNCT
iajs-2380	57	3	since	since	SCONJ
iajs-2380	57	4	for	for	ADP
iajs-2380	57	5	each	each	DET
iajs-2380	57	6	n	n	CCONJ
iajs-2380	57	7	,	,	PUNCT
iajs-2380	57	8	is	be	AUX
iajs-2380	57	9	a	a	DET
iajs-2380	57	10	solution	solution	NOUN
iajs-2380	57	11	of	of	ADP
iajs-2380	57	12	(	(	PUNCT
iajs-2380	57	13	14	14	NUM
iajs-2380	57	14	)	)	PUNCT
iajs-2380	57	15	,	,	PUNCT
iajs-2380	57	16	then	then	ADV
iajs-2380	57	17	from	from	ADP
iajs-2380	57	18	hypotheses	hypothesis	NOUN
iajs-2380	57	19	(	(	PUNCT
iajs-2380	57	20	a&c	a&c	PROPN
iajs-2380	57	21	)	)	PUNCT
iajs-2380	57	22	,	,	PUNCT
iajs-2380	57	23	‖	‖	PROPN
iajs-2380	57	24	‖	‖	PROPN
iajs-2380	57	25	,	,	PUNCT
iajs-2380	57	26	,	,	PUNCT
iajs-2380	57	27	with	with	ADP
iajs-2380	57	28	then	then	ADV
iajs-2380	57	29	by	by	ADP
iajs-2380	57	30	using	use	VERB
iajs-2380	57	31	alaoglu	alaoglu	NOUN
iajs-2380	57	32	theorem	theorem	NOUN
iajs-2380	57	33	,	,	PUNCT
iajs-2380	57	34	there	there	PRON
iajs-2380	57	35	exists	exist	VERB
iajs-2380	57	36	a	a	DET
iajs-2380	57	37	subsequence	subsequence	NOUN
iajs-2380	57	38	of	of	ADP
iajs-2380	57	39	{	{	PUNCT
iajs-2380	57	40	}	}	PUNCT
iajs-2380	57	41	(	(	PUNCT
iajs-2380	57	42	for	for	ADP
iajs-2380	57	43	simplicity	simplicity	NOUN
iajs-2380	57	44	say	say	VERB
iajs-2380	57	45	again	again	ADV
iajs-2380	57	46	{	{	PUNCT
iajs-2380	57	47	}	}	PUNCT
iajs-2380	57	48	)	)	PUNCT
iajs-2380	57	49	,	,	PUNCT
iajs-2380	57	50	such	such	ADJ
iajs-2380	57	51	that	that	DET
iajs-2380	57	52	weakly	weakly	ADJ
iajs-2380	57	53	in	in	ADP
iajs-2380	57	54	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	57	55	.	.	PUNCT
iajs-2380	58	1	to	to	PART
iajs-2380	58	2	prove	prove	VERB
iajs-2380	58	3	,	,	PUNCT
iajs-2380	58	4	that	that	SCONJ
iajs-2380	58	5	the	the	DET
iajs-2380	58	6	sequence	sequence	NOUN
iajs-2380	58	7	{	{	PUNCT
iajs-2380	58	8	}	}	PUNCT
iajs-2380	58	9	of	of	ADP
iajs-2380	58	10	solution	solution	NOUN
iajs-2380	58	11	of	of	ADP
iajs-2380	58	12	(	(	PUNCT
iajs-2380	58	13	14	14	NUM
iajs-2380	58	14	)	)	PUNCT
iajs-2380	58	15	converges	converge	VERB
iajs-2380	58	16	to	to	ADP
iajs-2380	58	17	a	a	DET
iajs-2380	58	18	vector	vector	NOUN
iajs-2380	58	19	which	which	PRON
iajs-2380	58	20	is	be	AUX
iajs-2380	58	21	the	the	DET
iajs-2380	58	22	solution	solution	NOUN
iajs-2380	58	23	of	of	ADP
iajs-2380	58	24	problem	problem	NOUN
iajs-2380	58	25	(	(	PUNCT
iajs-2380	58	26	9	9	NUM
iajs-2380	58	27	)	)	PUNCT
iajs-2380	58	28	.	.	PUNCT
iajs-2380	59	1	first	first	ADV
iajs-2380	59	2	,	,	PUNCT
iajs-2380	59	3	from	from	ADP
iajs-2380	59	4	hypothesis	hypothesis	NOUN
iajs-2380	59	5	(	(	PUNCT
iajs-2380	59	6	b	b	NOUN
iajs-2380	59	7	)	)	PUNCT
iajs-2380	59	8	,	,	PUNCT
iajs-2380	59	9	the	the	DET
iajs-2380	59	10	above	above	ADJ
iajs-2380	59	11	weakly	weakly	ADJ
iajs-2380	59	12	convergences	convergence	NOUN
iajs-2380	59	13	and	and	CCONJ
iajs-2380	59	14	since	since	SCONJ
iajs-2380	59	15	⃗	⃗	PROPN
iajs-2380	59	16	⃗⃗	⃗⃗	NOUN
iajs-2380	59	17	strongly	strongly	ADV
iajs-2380	59	18	in	in	ADP
iajs-2380	59	19	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	59	20	,	,	PUNCT
iajs-2380	59	21	then	then	ADV
iajs-2380	59	22	|	|	INTJ
iajs-2380	59	23	(	(	PUNCT
iajs-2380	59	24	⃗	⃗	PROPN
iajs-2380	59	25	)	)	PUNCT
iajs-2380	59	26	(	(	PUNCT
iajs-2380	59	27	⃗⃗	⃗⃗	NOUN
iajs-2380	59	28	)	)	PUNCT
iajs-2380	60	1	|	|	ADV
iajs-2380	60	2	|	|	ADV
iajs-2380	60	3	(	(	PUNCT
iajs-2380	60	4	⃗	⃗	PROPN
iajs-2380	60	5	⃗⃗	⃗⃗	NOUN
iajs-2380	60	6	)	)	PUNCT
iajs-2380	60	7	|	|	ADV
iajs-2380	61	1	|	|	ADV
iajs-2380	61	2	(	(	PUNCT
iajs-2380	61	3	⃗⃗	⃗⃗	NOUN
iajs-2380	61	4	)	)	PUNCT
iajs-2380	61	5	|	|	ADV
iajs-2380	61	6	‖	‖	PROPN
iajs-2380	61	7	‖	‖	PROPN
iajs-2380	61	8	‖	‖	PROPN
iajs-2380	61	9	⃗	⃗	PROPN
iajs-2380	61	10	⃗⃗	⃗⃗	PROPN
iajs-2380	61	11	‖	‖	PROPN
iajs-2380	61	12	‖	‖	PROPN
iajs-2380	61	13	‖	‖	PROPN
iajs-2380	61	14	‖	‖	PROPN
iajs-2380	61	15	⃗⃗	⃗⃗	PROPN
iajs-2380	61	16	‖	‖	PROPN
iajs-2380	61	17	→	→	PUNCT
iajs-2380	61	18	which	which	PRON
iajs-2380	61	19	means	mean	VERB
iajs-2380	61	20	(	(	PUNCT
iajs-2380	61	21	⃗	⃗	PROPN
iajs-2380	61	22	)	)	PUNCT
iajs-2380	61	23	→	→	SYM
iajs-2380	61	24	(	(	PUNCT
iajs-2380	61	25	⃗⃗	⃗⃗	PROPN
iajs-2380	61	26	)	)	PUNCT
iajs-2380	61	27	second	second	ADJ
iajs-2380	61	28	,	,	PUNCT
iajs-2380	61	29	from	from	ADP
iajs-2380	61	30	theorem	theorem	NOUN
iajs-2380	61	31	(	(	PUNCT
iajs-2380	61	32	3.2	3.2	NUM
iajs-2380	61	33	)	)	PUNCT
iajs-2380	61	34	⃗	⃗	PROPN
iajs-2380	61	35	⃗⃗	⃗⃗	NOUN
iajs-2380	61	36	weakly	weakly	ADJ
iajs-2380	61	37	in	in	ADP
iajs-2380	61	38	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	61	39	,	,	PUNCT
iajs-2380	61	40	then	then	ADV
iajs-2380	61	41	̆	̆	PROPN
iajs-2380	61	42	(	(	PUNCT
iajs-2380	61	43	⃗	⃗	PROPN
iajs-2380	61	44	)	)	PUNCT
iajs-2380	61	45	̆	̆	PROPN
iajs-2380	61	46	(	(	PUNCT
iajs-2380	61	47	⃗⃗	⃗⃗	PROPN
iajs-2380	61	48	)	)	PUNCT
iajs-2380	61	49	to	to	PART
iajs-2380	61	50	prove	prove	VERB
iajs-2380	61	51	→	→	PUNCT
iajs-2380	61	52	strongly	strongly	ADV
iajs-2380	61	53	in	in	ADP
iajs-2380	61	54	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	61	55	,	,	PUNCT
iajs-2380	61	56	from	from	ADP
iajs-2380	61	57	hypothesis	hypothesis	NOUN
iajs-2380	61	58	(	(	PUNCT
iajs-2380	61	59	1	1	NUM
iajs-2380	61	60	-	-	PUNCT
iajs-2380	61	61	a	a	NOUN
iajs-2380	61	62	)	)	PUNCT
iajs-2380	61	63	,	,	PUNCT
iajs-2380	61	64	one	one	PRON
iajs-2380	61	65	has	have	VERB
iajs-2380	61	66	‖	‖	ADJ
iajs-2380	61	67	‖	‖	PROPN
iajs-2380	61	68	(	(	PUNCT
iajs-2380	61	69	)	)	PUNCT
iajs-2380	61	70	(	(	PUNCT
iajs-2380	61	71	)	)	PUNCT
iajs-2380	61	72	(	(	PUNCT
iajs-2380	61	73	)	)	PUNCT
iajs-2380	61	74	(	(	PUNCT
iajs-2380	61	75	)	)	PUNCT
iajs-2380	61	76	(	(	PUNCT
iajs-2380	61	77	)	)	PUNCT
iajs-2380	61	78	̌	̌	PROPN
iajs-2380	61	79	(	(	PUNCT
iajs-2380	61	80	)	)	PUNCT
iajs-2380	61	81	=	=	SYM
iajs-2380	61	82	̌	̌	PROPN
iajs-2380	61	83	(	(	PUNCT
iajs-2380	61	84	)	)	PUNCT
iajs-2380	61	85	̌	̌	PROPN
iajs-2380	61	86	(	(	PUNCT
iajs-2380	61	87	)	)	PUNCT
iajs-2380	61	88	→	→	ADP
iajs-2380	61	89	which	which	PRON
iajs-2380	61	90	complete	complete	VERB
iajs-2380	61	91	the	the	DET
iajs-2380	61	92	proof	proof	NOUN
iajs-2380	61	93	of	of	ADP
iajs-2380	61	94	{	{	PUNCT
iajs-2380	61	95	}	}	PUNCT
iajs-2380	61	96	converges	converge	VERB
iajs-2380	61	97	strongly	strongly	ADV
iajs-2380	61	98	to	to	ADP
iajs-2380	61	99	with	with	ADP
iajs-2380	61	100	respect	respect	NOUN
iajs-2380	61	101	to‖	to‖	NOUN
iajs-2380	61	102	‖	‖	PROPN
iajs-2380	61	103	.	.	PUNCT
iajs-2380	62	1	the	the	DET
iajs-2380	62	2	uniqueness	uniqueness	NOUN
iajs-2380	62	3	of	of	ADP
iajs-2380	62	4	solution	solution	NOUN
iajs-2380	62	5	is	be	AUX
iajs-2380	62	6	obtained	obtain	VERB
iajs-2380	62	7	easily	easily	ADV
iajs-2380	62	8	through	through	ADP
iajs-2380	62	9	using	use	VERB
iajs-2380	62	10	hypothesis	hypothesis	NOUN
iajs-2380	62	11	(	(	PUNCT
iajs-2380	62	12	a	a	NOUN
iajs-2380	62	13	)	)	PUNCT
iajs-2380	62	14	.	.	PUNCT
iajs-2380	63	1	4	4	X
iajs-2380	63	2	.	.	X
iajs-2380	63	3	existence	existence	NOUN
iajs-2380	63	4	of	of	ADP
iajs-2380	63	5	a	a	DET
iajs-2380	63	6	ccocv	ccocv	NOUN
iajs-2380	63	7	:	:	PUNCT
iajs-2380	63	8	lemma	lemma	PROPN
iajs-2380	63	9	4.1	4.1	NUM
iajs-2380	63	10	:	:	PUNCT
iajs-2380	63	11	the	the	DET
iajs-2380	63	12	operator	operator	NOUN
iajs-2380	63	13	⃗	⃗	PROPN
iajs-2380	63	14	from	from	ADP
iajs-2380	63	15	⃗⃗	⃗⃗	NOUN
iajs-2380	63	16	to	to	ADP
iajs-2380	63	17	(	(	PUNCT
iajs-2380	63	18	(	(	PUNCT
iajs-2380	63	19	)	)	PUNCT
iajs-2380	63	20	)	)	PUNCT
iajs-2380	63	21	is	be	AUX
iajs-2380	63	22	lipschitz	lipschitz	VERB
iajs-2380	63	23	continuous	continuous	ADJ
iajs-2380	63	24	(	(	PUNCT
iajs-2380	63	25	lc	lc	NOUN
iajs-2380	63	26	)	)	PUNCT
iajs-2380	63	27	,	,	PUNCT
iajs-2380	63	28	i	i	PRON
iajs-2380	63	29	.e	.e	PROPN
iajs-2380	63	30	.	.	PUNCT
iajs-2380	64	1	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	65	1	̆	̆	VERB
iajs-2380	65	2	⃗⃗⃗⃗	⃗⃗⃗⃗	NOUN
iajs-2380	65	3	,	,	PUNCT
iajs-2380	65	4	for	for	ADP
iajs-2380	65	5	̆	̆	NOUN
iajs-2380	65	6	proof	proof	NOUN
iajs-2380	65	7	:	:	PUNCT
iajs-2380	65	8	let	let	VERB
iajs-2380	65	9	⃗⃗	⃗⃗	PROPN
iajs-2380	65	10	⃗	⃗	PROPN
iajs-2380	65	11	(	(	PUNCT
iajs-2380	65	12	)	)	PUNCT
iajs-2380	65	13	be	be	AUX
iajs-2380	65	14	a	a	DET
iajs-2380	65	15	given	give	VERB
iajs-2380	65	16	control	control	NOUN
iajs-2380	65	17	vector	vector	NOUN
iajs-2380	65	18	of	of	ADP
iajs-2380	65	19	the	the	DET
iajs-2380	65	20	wf(6	wf(6	PROPN
iajs-2380	65	21	-	-	PUNCT
iajs-2380	65	22	8)	8)	NUM
iajs-2380	65	23	and	and	CCONJ
iajs-2380	65	24	⃗⃗	⃗⃗	NOUN
iajs-2380	65	25	(	(	PUNCT
iajs-2380	65	26	)	)	PUNCT
iajs-2380	65	27	be	be	AUX
iajs-2380	65	28	the	the	DET
iajs-2380	65	29	corresponding	corresponding	ADJ
iajs-2380	65	30	state	state	NOUN
iajs-2380	65	31	vector	vector	NOUN
iajs-2380	65	32	solution	solution	NOUN
iajs-2380	65	33	,	,	PUNCT
iajs-2380	65	34	we	we	PRON
iajs-2380	65	35	get	get	VERB
iajs-2380	65	36	new	new	ADJ
iajs-2380	65	37	equations	equation	NOUN
iajs-2380	65	38	for	for	ADP
iajs-2380	65	39	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	65	40	and	and	CCONJ
iajs-2380	65	41	⃗⃗	⃗⃗	NOUN
iajs-2380	65	42	,	,	PUNCT
iajs-2380	65	43	then	then	ADV
iajs-2380	65	44	by	by	ADP
iajs-2380	65	45	subtracting	subtract	VERB
iajs-2380	65	46	these	these	DET
iajs-2380	65	47	new	new	ADJ
iajs-2380	65	48	equations	equation	NOUN
iajs-2380	65	49	from	from	ADP
iajs-2380	65	50	their	their	PRON
iajs-2380	65	51	corresponding	correspond	VERB
iajs-2380	65	52	equations	equation	NOUN
iajs-2380	65	53	(	(	PUNCT
iajs-2380	65	54	6	6	NUM
iajs-2380	65	55	-8	-8	NOUN
iajs-2380	65	56	)	)	PUNCT
iajs-2380	65	57	and	and	CCONJ
iajs-2380	65	58	then	then	ADV
iajs-2380	65	59	substituting	substitute	VERB
iajs-2380	65	60	δ	δ	PROPN
iajs-2380	65	61	=	=	PRON
iajs-2380	65	62	,	,	PUNCT
iajs-2380	65	63	δ	δ	PROPN
iajs-2380	65	64	341	341	NUM
iajs-2380	65	65	ibn	ibn	PROPN
iajs-2380	65	66	al	al	PROPN
iajs-2380	65	67	-	-	PUNCT
iajs-2380	65	68	haitham	haitham	PROPN
iajs-2380	65	69	jour	jour	X
iajs-2380	65	70	.	.	PROPN
iajs-2380	66	1	for	for	ADP
iajs-2380	66	2	pure	pure	ADJ
iajs-2380	66	3	&	&	CCONJ
iajs-2380	66	4	appl	appl	PROPN
iajs-2380	66	5	.	.	PUNCT
iajs-2380	67	1	sci	sci	PROPN
iajs-2380	67	2	.	.	PROPN
iajs-2380	68	1	33	33	NUM
iajs-2380	68	2	(	(	PUNCT
iajs-2380	68	3	1	1	NUM
iajs-2380	68	4	)	)	PUNCT
iajs-2380	68	5	2020	2020	NUM
iajs-2380	68	6	,	,	PUNCT
iajs-2380	68	7	δ	δ	PROPN
iajs-2380	68	8	=	=	SYM
iajs-2380	68	9	δ	δ	PROPN
iajs-2380	68	10	,	,	PUNCT
iajs-2380	68	11	=	=	SYM
iajs-2380	68	12	and	and	CCONJ
iajs-2380	68	13	δ	δ	PROPN
iajs-2380	68	14	in	in	ADP
iajs-2380	68	15	the	the	DET
iajs-2380	68	16	obtained	obtain	VERB
iajs-2380	68	17	equations	equation	NOUN
iajs-2380	68	18	,	,	PUNCT
iajs-2380	68	19	to	to	PART
iajs-2380	68	20	get	get	VERB
iajs-2380	68	21	(	(	PUNCT
iajs-2380	68	22	)	)	PUNCT
iajs-2380	68	23	(	(	PUNCT
iajs-2380	68	24	)	)	PUNCT
iajs-2380	68	25	(	(	PUNCT
iajs-2380	68	26	)	)	PUNCT
iajs-2380	68	27	(	(	PUNCT
iajs-2380	68	28	)	)	PUNCT
iajs-2380	68	29	(	(	PUNCT
iajs-2380	68	30	)	)	PUNCT
iajs-2380	68	31	(	(	PUNCT
iajs-2380	68	32	15	15	NUM
iajs-2380	68	33	)	)	PUNCT
iajs-2380	68	34	(	(	PUNCT
iajs-2380	68	35	)	)	PUNCT
iajs-2380	68	36	(	(	PUNCT
iajs-2380	68	37	)	)	PUNCT
iajs-2380	68	38	(	(	PUNCT
iajs-2380	68	39	)	)	PUNCT
iajs-2380	68	40	(	(	PUNCT
iajs-2380	68	41	)	)	PUNCT
iajs-2380	68	42	(	(	PUNCT
iajs-2380	68	43	)	)	PUNCT
iajs-2380	68	44	(	(	PUNCT
iajs-2380	68	45	16	16	NUM
iajs-2380	68	46	)	)	PUNCT
iajs-2380	68	47	(	(	PUNCT
iajs-2380	68	48	)	)	PUNCT
iajs-2380	68	49	(	(	PUNCT
iajs-2380	68	50	)	)	PUNCT
iajs-2380	68	51	(	(	PUNCT
iajs-2380	68	52	)	)	PUNCT
iajs-2380	68	53	(	(	PUNCT
iajs-2380	68	54	)	)	PUNCT
iajs-2380	68	55	(	(	PUNCT
iajs-2380	68	56	)	)	PUNCT
iajs-2380	68	57	(	(	PUNCT
iajs-2380	68	58	17	17	NUM
iajs-2380	68	59	)	)	PUNCT
iajs-2380	68	60	next	next	ADV
iajs-2380	68	61	blending	blend	VERB
iajs-2380	68	62	together	together	ADV
iajs-2380	68	63	the	the	DET
iajs-2380	68	64	equations	equation	NOUN
iajs-2380	68	65	which	which	PRON
iajs-2380	68	66	obtained	obtain	VERB
iajs-2380	68	67	by	by	ADP
iajs-2380	68	68	substituting	substitute	VERB
iajs-2380	68	69	,	,	PUNCT
iajs-2380	68	70	and	and	CCONJ
iajs-2380	68	71	in	in	ADP
iajs-2380	68	72	(	(	PUNCT
iajs-2380	68	73	15	15	NUM
iajs-2380	68	74	-	-	SYM
iajs-2380	68	75	17	17	NUM
iajs-2380	68	76	)	)	PUNCT
iajs-2380	68	77	)	)	PUNCT
iajs-2380	68	78	respectively	respectively	ADV
iajs-2380	68	79	,	,	PUNCT
iajs-2380	68	80	to	to	PART
iajs-2380	68	81	give	give	VERB
iajs-2380	68	82	(	(	PUNCT
iajs-2380	68	83	)	)	PUNCT
iajs-2380	68	84	(	(	PUNCT
iajs-2380	68	85	)	)	PUNCT
iajs-2380	68	86	(	(	PUNCT
iajs-2380	68	87	)	)	PUNCT
iajs-2380	68	88	(	(	PUNCT
iajs-2380	68	89	)	)	PUNCT
iajs-2380	68	90	(	(	PUNCT
iajs-2380	68	91	)	)	PUNCT
iajs-2380	68	92	(	(	PUNCT
iajs-2380	68	93	)	)	PUNCT
iajs-2380	68	94	(	(	PUNCT
iajs-2380	68	95	)	)	PUNCT
iajs-2380	68	96	(	(	PUNCT
iajs-2380	68	97	)	)	PUNCT
iajs-2380	68	98	(	(	PUNCT
iajs-2380	68	99	)	)	PUNCT
iajs-2380	68	100	(	(	PUNCT
iajs-2380	68	101	18	18	NUM
iajs-2380	68	102	)	)	PUNCT
iajs-2380	68	103	after	after	ADP
iajs-2380	68	104	using	use	VERB
iajs-2380	68	105	cauch	cauch	ADJ
iajs-2380	68	106	-	-	PUNCT
iajs-2380	68	107	schwarz	schwarz	NOUN
iajs-2380	68	108	inequality	inequality	NOUN
iajs-2380	68	109	(	(	PUNCT
iajs-2380	68	110	c	c	X
iajs-2380	68	111	-	-	PUNCT
iajs-2380	68	112	s	s	NOUN
iajs-2380	68	113	-	-	PUNCT
iajs-2380	68	114	i	i	NOUN
iajs-2380	68	115	)	)	PUNCT
iajs-2380	68	116	and	and	CCONJ
iajs-2380	68	117	applying	apply	VERB
iajs-2380	68	118	hypothesis	hypothesis	NOUN
iajs-2380	68	119	(	(	PUNCT
iajs-2380	68	120	1	1	NUM
iajs-2380	68	121	a),once	a),once	NOUN
iajs-2380	68	122	has	have	VERB
iajs-2380	68	123	‖	‖	PROPN
iajs-2380	68	124	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	69	1	‖	‖	PROPN
iajs-2380	69	2	‖	‖	PROPN
iajs-2380	69	3	‖	‖	PROPN
iajs-2380	69	4	‖	‖	PROPN
iajs-2380	69	5	‖	‖	PROPN
iajs-2380	69	6	‖	‖	PROPN
iajs-2380	69	7	‖	‖	PROPN
iajs-2380	69	8	‖	‖	PROPN
iajs-2380	69	9	‖	‖	PROPN
iajs-2380	69	10	‖	‖	PROPN
iajs-2380	69	11	‖	‖	PROPN
iajs-2380	69	12	‖	‖	PROPN
iajs-2380	69	13	‖	‖	PROPN
iajs-2380	69	14	(	(	PUNCT
iajs-2380	69	15	19	19	NUM
iajs-2380	69	16	)	)	PUNCT
iajs-2380	69	17	since	since	SCONJ
iajs-2380	69	18	‖	‖	PROPN
iajs-2380	69	19	‖	‖	PROPN
iajs-2380	69	20	‖	‖	PROPN
iajs-2380	69	21	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	70	1	‖	‖	PROPN
iajs-2380	70	2	‖	‖	PROPN
iajs-2380	70	3	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	70	4	‖	‖	ADJ
iajs-2380	70	5	and	and	CCONJ
iajs-2380	70	6	‖	‖	PROPN
iajs-2380	70	7	‖	‖	PROPN
iajs-2380	70	8	‖	‖	PROPN
iajs-2380	70	9	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	71	1	‖	‖	ADJ
iajs-2380	71	2	,	,	PUNCT
iajs-2380	71	3	,	,	PUNCT
iajs-2380	71	4	then	then	ADV
iajs-2380	71	5	(	(	PUNCT
iajs-2380	71	6	19	19	NUM
iajs-2380	71	7	)	)	PUNCT
iajs-2380	71	8	becomes	become	VERB
iajs-2380	71	9	‖	‖	ADJ
iajs-2380	71	10	‖	‖	PROPN
iajs-2380	71	11	̆‖	̆‖	PROPN
iajs-2380	71	12	⃗⃗⃗⃗	⃗⃗⃗⃗	ADJ
iajs-2380	71	13	‖	‖	ADJ
iajs-2380	71	14	,	,	PUNCT
iajs-2380	71	15	with	with	ADP
iajs-2380	71	16	̆	̆	NOUN
iajs-2380	71	17	so	so	ADV
iajs-2380	71	18	⃗	⃗	PROPN
iajs-2380	71	19	is	be	AUX
iajs-2380	71	20	lc	lc	NOUN
iajs-2380	71	21	on	on	ADP
iajs-2380	71	22	(	(	PUNCT
iajs-2380	71	23	(	(	PUNCT
iajs-2380	71	24	)	)	PUNCT
iajs-2380	71	25	)	)	PUNCT
iajs-2380	71	26	.	.	PUNCT
iajs-2380	72	1	lemma	lemma	PROPN
iajs-2380	72	2	4.2[14	4.2[14	PROPN
iajs-2380	72	3	]	]	X
iajs-2380	72	4	:	:	PUNCT
iajs-2380	72	5	the	the	DET
iajs-2380	72	6	norm	norm	NOUN
iajs-2380	72	7	‖	‖	PROPN
iajs-2380	72	8	‖	‖	PROPN
iajs-2380	72	9	is	be	AUX
iajs-2380	72	10	weakly	weakly	ADV
iajs-2380	72	11	lower	low	ADJ
iajs-2380	72	12	semicontinuous	semicontinuous	ADJ
iajs-2380	72	13	(	(	PUNCT
iajs-2380	72	14	w.l.s	w.l.s	NOUN
iajs-2380	72	15	.	.	PUNCT
iajs-2380	72	16	)	)	PUNCT
iajs-2380	72	17	.	.	PUNCT
iajs-2380	73	1	lemma	lemma	PROPN
iajs-2380	73	2	4.3	4.3	NUM
iajs-2380	73	3	:	:	PUNCT
iajs-2380	73	4	the	the	DET
iajs-2380	73	5	cost	cost	NOUN
iajs-2380	73	6	function	function	NOUN
iajs-2380	73	7	in	in	ADP
iajs-2380	73	8	(	(	PUNCT
iajs-2380	73	9	5	5	NUM
iajs-2380	73	10	)	)	PUNCT
iajs-2380	73	11	is	be	AUX
iajs-2380	73	12	w.l.s	w.l.s	NOUN
iajs-2380	73	13	.	.	PUNCT
iajs-2380	73	14	.	.	PUNCT
iajs-2380	73	15	.	.	PUNCT
iajs-2380	74	1	proof	proof	NOUN
iajs-2380	74	2	:	:	PUNCT
iajs-2380	74	3	the	the	DET
iajs-2380	74	4	proof	proof	NOUN
iajs-2380	74	5	easily	easily	ADV
iajs-2380	74	6	obtained	obtain	VERB
iajs-2380	74	7	through	through	ADP
iajs-2380	74	8	applying	apply	VERB
iajs-2380	74	9	lemma	lemma	PROPN
iajs-2380	74	10	(	(	PUNCT
iajs-2380	74	11	4.2	4.2	NUM
iajs-2380	74	12	)	)	PUNCT
iajs-2380	74	13	,	,	PUNCT
iajs-2380	74	14	the	the	DET
iajs-2380	74	15	weakly	weakly	ADJ
iajs-2380	74	16	converge	converge	NOUN
iajs-2380	74	17	of	of	ADP
iajs-2380	74	18	→	→	PUNCT
iajs-2380	74	19	in	in	ADP
iajs-2380	74	20	(	(	PUNCT
iajs-2380	74	21	)	)	PUNCT
iajs-2380	74	22	and	and	CCONJ
iajs-2380	74	23	lemma	lemma	PROPN
iajs-2380	74	24	(	(	PUNCT
iajs-2380	74	25	4.1	4.1	NUM
iajs-2380	74	26	)	)	PUNCT
iajs-2380	74	27	.	.	PUNCT
iajs-2380	75	1	lemma	lemma	PROPN
iajs-2380	75	2	4.4[14	4.4[14	PROPN
iajs-2380	75	3	]	]	X
iajs-2380	75	4	:	:	PUNCT
iajs-2380	75	5	the	the	DET
iajs-2380	75	6	norm	norm	NOUN
iajs-2380	75	7	‖	‖	PROPN
iajs-2380	75	8	‖	‖	PROPN
iajs-2380	75	9	is	be	AUX
iajs-2380	75	10	strictly	strictly	ADV
iajs-2380	75	11	convex	convex	ADJ
iajs-2380	75	12	.	.	PUNCT
iajs-2380	76	1	remark	remark	VERB
iajs-2380	76	2	4.1	4.1	NUM
iajs-2380	76	3	:	:	PUNCT
iajs-2380	76	4	the	the	DET
iajs-2380	76	5	cost	cost	NOUN
iajs-2380	76	6	function	function	NOUN
iajs-2380	76	7	(	(	PUNCT
iajs-2380	76	8	)	)	PUNCT
iajs-2380	76	9	is	be	AUX
iajs-2380	76	10	strictly	strictly	ADV
iajs-2380	76	11	convex	convex	ADJ
iajs-2380	76	12	by	by	ADP
iajs-2380	76	13	using	use	VERB
iajs-2380	76	14	lemma	lemma	PROPN
iajs-2380	76	15	(	(	PUNCT
iajs-2380	76	16	4.4	4.4	NUM
iajs-2380	76	17	)	)	PUNCT
iajs-2380	76	18	.	.	PUNCT
iajs-2380	77	1	theorem	theorem	VERB
iajs-2380	77	2	4.1	4.1	NUM
iajs-2380	77	3	:	:	PUNCT
iajs-2380	77	4	if	if	SCONJ
iajs-2380	77	5	(	(	PUNCT
iajs-2380	77	6	)	)	PUNCT
iajs-2380	77	7	is	be	AUX
iajs-2380	77	8	coercive	coercive	ADJ
iajs-2380	77	9	and	and	CCONJ
iajs-2380	77	10	⃗	⃗	PROPN
iajs-2380	77	11	is	be	AUX
iajs-2380	77	12	convex	convex	ADJ
iajs-2380	77	13	,	,	PUNCT
iajs-2380	77	14	then	then	ADV
iajs-2380	77	15	there	there	ADV
iajs-2380	77	16	ex	ex	PRON
iajs-2380	77	17	ists	ist	NOUN
iajs-2380	77	18	ccocv	ccocv	NOUN
iajs-2380	77	19	for	for	ADP
iajs-2380	77	20	the	the	DET
iajs-2380	77	21	problem	problem	NOUN
iajs-2380	77	22	(	(	PUNCT
iajs-2380	77	23	5	5	NUM
iajs-2380	77	24	)	)	PUNCT
iajs-2380	77	25	.	.	PUNCT
iajs-2380	78	1	proof	proof	NOUN
iajs-2380	78	2	:	:	PUNCT
iajs-2380	78	3	⃗⃗	⃗⃗	PROPN
iajs-2380	78	4	is	be	AUX
iajs-2380	78	5	convex	convex	ADJ
iajs-2380	78	6	since	since	SCONJ
iajs-2380	78	7	⃗	⃗	PROPN
iajs-2380	78	8	is	be	AUX
iajs-2380	78	9	convex	convex	ADJ
iajs-2380	78	10	with	with	ADP
iajs-2380	78	11	(	(	PUNCT
iajs-2380	78	12	)	)	PUNCT
iajs-2380	78	13	,	,	PUNCT
iajs-2380	78	14	and	and	CCONJ
iajs-2380	78	15	(	(	PUNCT
iajs-2380	78	16	)	)	PUNCT
iajs-2380	78	17	is	be	AUX
iajs-2380	78	18	coercive	coercive	ADJ
iajs-2380	78	19	then	then	ADV
iajs-2380	78	20	there	there	PRON
iajs-2380	78	21	exist	exist	VERB
iajs-2380	78	22	a	a	DET
iajs-2380	78	23	minimization	minimization	NOUN
iajs-2380	78	24	sequence	sequence	NOUN
iajs-2380	78	25	*	*	PUNCT
iajs-2380	79	1	+	+	PUNCT
iajs-2380	79	2	⃗⃗	⃗⃗	NOUN
iajs-2380	79	3	such	such	ADJ
iajs-2380	79	4	that	that	SCONJ
iajs-2380	79	5	(	(	PUNCT
iajs-2380	79	6	)	)	PUNCT
iajs-2380	79	7	⃗⃗	⃗⃗	PROPN
iajs-2380	79	8	⃗⃗	⃗⃗	PROPN
iajs-2380	79	9	(	(	PUNCT
iajs-2380	79	10	⃗	⃗	PROPN
iajs-2380	79	11	)	)	PUNCT
iajs-2380	79	12	therefore	therefore	ADV
iajs-2380	79	13	‖	‖	PROPN
iajs-2380	79	14	‖	‖	PROPN
iajs-2380	79	15	,	,	PUNCT
iajs-2380	79	16	(	(	PUNCT
iajs-2380	79	17	20	20	NUM
iajs-2380	79	18	)	)	PUNCT
iajs-2380	79	19	then	then	ADV
iajs-2380	79	20	,	,	PUNCT
iajs-2380	79	21	the	the	DET
iajs-2380	79	22	sequence	sequence	NOUN
iajs-2380	79	23	*	*	PUNCT
iajs-2380	79	24	+	+	PUNCT
iajs-2380	79	25	has	have	VERB
iajs-2380	79	26	a	a	DET
iajs-2380	79	27	subsequence	subsequence	NOUN
iajs-2380	79	28	for	for	ADP
iajs-2380	79	29	simplicity	simplicity	NOUN
iajs-2380	79	30	say	say	VERB
iajs-2380	79	31	again	again	ADV
iajs-2380	79	32	*	*	PUNCT
iajs-2380	80	1	+	+	CCONJ
iajs-2380	80	2	such	such	ADJ
iajs-2380	80	3	that	that	SCONJ
iajs-2380	80	4	→	→	SYM
iajs-2380	80	5	weakly	weakly	ADJ
iajs-2380	80	6	in	in	ADP
iajs-2380	80	7	(	(	PUNCT
iajs-2380	80	8	(	(	PUNCT
iajs-2380	80	9	)	)	PUNCT
iajs-2380	80	10	)	)	PUNCT
iajs-2380	80	11	,	,	PUNCT
iajs-2380	80	12	(	(	PUNCT
iajs-2380	80	13	by	by	ADP
iajs-2380	80	14	using	use	VERB
iajs-2380	80	15	the	the	DET
iajs-2380	80	16	aloglu	aloglu	NOUN
iajs-2380	80	17	theorem	theorem	VERB
iajs-2380	80	18	)	)	PUNCT
iajs-2380	80	19	.	.	PUNCT
iajs-2380	81	1	but	but	CCONJ
iajs-2380	81	2	theorem	theorem	VERB
iajs-2380	81	3	3.1	3.1	NUM
iajs-2380	81	4	,	,	PUNCT
iajs-2380	81	5	tell	tell	VERB
iajs-2380	81	6	us	we	PRON
iajs-2380	81	7	that	that	SCONJ
iajs-2380	81	8	the	the	DET
iajs-2380	81	9	sequence	sequence	NOUN
iajs-2380	81	10	of	of	ADP
iajs-2380	81	11	problems	problem	NOUN
iajs-2380	81	12	(	(	PUNCT
iajs-2380	81	13	9	9	NUM
iajs-2380	81	14	)	)	PUNCT
iajs-2380	81	15	has	have	VERB
iajs-2380	81	16	the	the	DET
iajs-2380	81	17	sequence	sequence	NOUN
iajs-2380	81	18	of	of	ADP
iajs-2380	81	19	solutions	solution	NOUN
iajs-2380	81	20	{	{	PUNCT
iajs-2380	81	21	}	}	PUNCT
iajs-2380	81	22	.	.	PUNCT
iajs-2380	82	1	to	to	PART
iajs-2380	82	2	prove	prove	VERB
iajs-2380	82	3	{	{	PUNCT
iajs-2380	82	4	}	}	PUNCT
iajs-2380	82	5	,	,	PUNCT
iajs-2380	82	6	is	be	AUX
iajs-2380	82	7	bounded	bound	VERB
iajs-2380	82	8	in	in	ADP
iajs-2380	82	9	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	82	10	,	,	PUNCT
iajs-2380	82	11	the	the	DET
iajs-2380	82	12	hypotheses	hypothesis	NOUN
iajs-2380	82	13	(	(	PUNCT
iajs-2380	82	14	a	a	PRON
iajs-2380	82	15	and	and	CCONJ
iajs-2380	82	16	c	c	NOUN
iajs-2380	82	17	)	)	PUNCT
iajs-2380	82	18	,	,	PUNCT
iajs-2380	82	19	and	and	CCONJ
iajs-2380	82	20	the	the	DET
iajs-2380	82	21	c	c	NOUN
iajs-2380	82	22	-	-	PUNCT
iajs-2380	82	23	s	s	NOUN
iajs-2380	82	24	-	-	PUNCT
iajs-2380	82	25	i	i	NOUN
iajs-2380	82	26	,	,	PUNCT
iajs-2380	82	27	are	be	AUX
iajs-2380	82	28	used	use	VERB
iajs-2380	82	29	to	to	PART
iajs-2380	82	30	get	get	VERB
iajs-2380	82	31	that	that	PRON
iajs-2380	82	32	:	:	PUNCT
iajs-2380	82	33	341	341	NUM
iajs-2380	82	34	ibn	ibn	PROPN
iajs-2380	82	35	al	al	PROPN
iajs-2380	82	36	-	-	PUNCT
iajs-2380	82	37	haitham	haitham	PROPN
iajs-2380	82	38	jour	jour	X
iajs-2380	82	39	.	.	PROPN
iajs-2380	83	1	for	for	ADP
iajs-2380	83	2	pure	pure	ADJ
iajs-2380	83	3	&	&	CCONJ
iajs-2380	83	4	appl	appl	PROPN
iajs-2380	83	5	.	.	PUNCT
iajs-2380	84	1	sci	sci	PROPN
iajs-2380	84	2	.	.	PROPN
iajs-2380	85	1	33	33	NUM
iajs-2380	85	2	(	(	PUNCT
iajs-2380	85	3	1	1	NUM
iajs-2380	85	4	)	)	PUNCT
iajs-2380	85	5	2020	2020	NUM
iajs-2380	85	6	‖	‖	PROPN
iajs-2380	85	7	‖	‖	PROPN
iajs-2380	85	8	(	(	PUNCT
iajs-2380	85	9	)	)	PUNCT
iajs-2380	85	10	̆	̆	PROPN
iajs-2380	85	11	(	(	PUNCT
iajs-2380	85	12	)	)	PUNCT
iajs-2380	85	13	(	(	PUNCT
iajs-2380	85	14	21	21	NUM
iajs-2380	85	15	)	)	PUNCT
iajs-2380	86	1	≤‖	≤‖	PROPN
iajs-2380	86	2	‖	‖	PROPN
iajs-2380	86	3	‖	‖	PROPN
iajs-2380	86	4	‖	‖	PROPN
iajs-2380	86	5	‖	‖	PROPN
iajs-2380	86	6	‖	‖	PROPN
iajs-2380	86	7	‖	‖	PROPN
iajs-2380	86	8	‖	‖	PROPN
iajs-2380	86	9	‖	‖	PROPN
iajs-2380	86	10	‖	‖	PROPN
iajs-2380	86	11	‖	‖	PROPN
iajs-2380	86	12	‖	‖	PROPN
iajs-2380	86	13	+	+	PROPN
iajs-2380	86	14	‖	‖	PROPN
iajs-2380	86	15	‖	‖	PROPN
iajs-2380	86	16	‖	‖	PROPN
iajs-2380	86	17	‖	‖	PROPN
iajs-2380	86	18	‖	‖	PROPN
iajs-2380	86	19	‖	‖	PROPN
iajs-2380	86	20	‖	‖	PROPN
iajs-2380	86	21	‖	‖	PROPN
iajs-2380	86	22	‖	‖	PROPN
iajs-2380	86	23	‖	‖	PROPN
iajs-2380	86	24	‖	‖	PROPN
iajs-2380	86	25	‖	‖	PROPN
iajs-2380	86	26	≤	≤	PROPN
iajs-2380	87	1	‖	‖	PROPN
iajs-2380	87	2	‖	‖	PROPN
iajs-2380	87	3	‖	‖	PROPN
iajs-2380	87	4	‖	‖	PROPN
iajs-2380	87	5	‖	‖	PROPN
iajs-2380	87	6	‖	‖	PROPN
iajs-2380	87	7	‖	‖	PROPN
iajs-2380	87	8	‖	‖	PROPN
iajs-2380	87	9	‖	‖	PROPN
iajs-2380	87	10	‖	‖	PROPN
iajs-2380	87	11	‖	‖	PROPN
iajs-2380	87	12	‖	‖	PROPN
iajs-2380	87	13	≤	≤	PROPN
iajs-2380	87	14	ϖ‖	ϖ‖	X
iajs-2380	87	15	‖	‖	PROPN
iajs-2380	87	16	where	where	SCONJ
iajs-2380	87	17	(	(	PUNCT
iajs-2380	87	18	)	)	PUNCT
iajs-2380	87	19	(	(	PUNCT
iajs-2380	87	20	)	)	PUNCT
iajs-2380	87	21	(	(	PUNCT
iajs-2380	87	22	)	)	PUNCT
iajs-2380	87	23	(	(	PUNCT
iajs-2380	87	24	)	)	PUNCT
iajs-2380	87	25	then	then	ADV
iajs-2380	87	26	‖	‖	PROPN
iajs-2380	87	27	‖	‖	PROPN
iajs-2380	87	28	,	,	PUNCT
iajs-2380	87	29	for	for	ADP
iajs-2380	87	30	each	each	DET
iajs-2380	87	31	n	n	CCONJ
iajs-2380	87	32	,	,	PUNCT
iajs-2380	87	33	with	with	ADP
iajs-2380	87	34	by	by	ADP
iajs-2380	87	35	alaoglu	alaoglu	NOUN
iajs-2380	87	36	theorem	theorem	NOUN
iajs-2380	87	37	there	there	PRON
iajs-2380	87	38	exists	exist	VERB
iajs-2380	87	39	a	a	DET
iajs-2380	87	40	subsequence	subsequence	NOUN
iajs-2380	87	41	of	of	ADP
iajs-2380	87	42	{	{	PUNCT
iajs-2380	87	43	}	}	PUNCT
iajs-2380	87	44	(	(	PUNCT
iajs-2380	87	45	for	for	ADP
iajs-2380	87	46	simplicity	simplicity	NOUN
iajs-2380	87	47	say	say	VERB
iajs-2380	87	48	again	again	ADV
iajs-2380	87	49	{	{	PUNCT
iajs-2380	87	50	}	}	PUNCT
iajs-2380	87	51	)	)	PUNCT
iajs-2380	87	52	such	such	ADJ
iajs-2380	87	53	that	that	DET
iajs-2380	87	54	weakly	weakly	ADJ
iajs-2380	87	55	in	in	ADP
iajs-2380	87	56	⃗⃗	⃗⃗	NOUN
iajs-2380	87	57	since	since	SCONJ
iajs-2380	87	58	for	for	ADP
iajs-2380	87	59	each	each	DET
iajs-2380	87	60	n	n	CCONJ
iajs-2380	87	61	,	,	PUNCT
iajs-2380	87	62	satisfies	satisfy	VERB
iajs-2380	87	63	the	the	DET
iajs-2380	87	64	weak	weak	ADJ
iajs-2380	87	65	form	form	NOUN
iajs-2380	87	66	(	(	PUNCT
iajs-2380	87	67	9),then	9),then	NUM
iajs-2380	87	68	(	(	PUNCT
iajs-2380	87	69	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	87	70	)	)	PUNCT
iajs-2380	87	71	̆	̆	PROPN
iajs-2380	87	72	(	(	PUNCT
iajs-2380	87	73	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	87	74	)	)	PUNCT
iajs-2380	87	75	(	(	PUNCT
iajs-2380	87	76	)	)	PUNCT
iajs-2380	87	77	(	(	PUNCT
iajs-2380	87	78	)	)	PUNCT
iajs-2380	87	79	(	(	PUNCT
iajs-2380	87	80	)	)	PUNCT
iajs-2380	87	81	(	(	PUNCT
iajs-2380	87	82	)	)	PUNCT
iajs-2380	87	83	(	(	PUNCT
iajs-2380	87	84	)	)	PUNCT
iajs-2380	87	85	(	(	PUNCT
iajs-2380	87	86	)	)	PUNCT
iajs-2380	87	87	(	(	PUNCT
iajs-2380	87	88	22	22	NUM
iajs-2380	87	89	)	)	PUNCT
iajs-2380	87	90	to	to	PART
iajs-2380	87	91	show	show	VERB
iajs-2380	87	92	that	that	SCONJ
iajs-2380	87	93	(	(	PUNCT
iajs-2380	87	94	22	22	NUM
iajs-2380	87	95	)	)	PUNCT
iajs-2380	87	96	converges	converge	VERB
iajs-2380	87	97	to	to	ADP
iajs-2380	87	98	(	(	PUNCT
iajs-2380	87	99	⃗⃗⃗	⃗⃗⃗	X
iajs-2380	87	100	)	)	PUNCT
iajs-2380	87	101	̆	̆	PROPN
iajs-2380	87	102	(	(	PUNCT
iajs-2380	87	103	⃗⃗⃗	⃗⃗⃗	PROPN
iajs-2380	87	104	)	)	PUNCT
iajs-2380	87	105	(	(	PUNCT
iajs-2380	87	106	23	23	NUM
iajs-2380	87	107	)	)	PUNCT
iajs-2380	87	108	first	first	ADV
iajs-2380	87	109	,	,	PUNCT
iajs-2380	87	110	since	since	SCONJ
iajs-2380	87	111	,	,	PUNCT
iajs-2380	87	112	→	→	X
iajs-2380	87	113	(	(	PUNCT
iajs-2380	87	114	)	)	PUNCT
iajs-2380	87	115	.	.	PUNCT
iajs-2380	88	1	then	then	ADV
iajs-2380	88	2	by	by	ADP
iajs-2380	88	3	using	use	VERB
iajs-2380	88	4	the	the	DET
iajs-2380	88	5	c	c	PROPN
iajs-2380	88	6	-	-	PUNCT
iajs-2380	88	7	s	s	NOUN
iajs-2380	88	8	-	-	PUNCT
iajs-2380	88	9	i	i	NOUN
iajs-2380	88	10	and	and	CCONJ
iajs-2380	88	11	hypothesis	hypothesis	NOUN
iajs-2380	88	12	(	(	PUNCT
iajs-2380	88	13	b	b	NOUN
iajs-2380	88	14	)	)	PUNCT
iajs-2380	88	15	,	,	PUNCT
iajs-2380	88	16	once	once	ADV
iajs-2380	88	17	gets	get	VERB
iajs-2380	88	18	:	:	PUNCT
iajs-2380	88	19	|	|	ADV
iajs-2380	88	20	(	(	PUNCT
iajs-2380	88	21	)	)	PUNCT
iajs-2380	88	22	(	(	PUNCT
iajs-2380	88	23	)	)	PUNCT
iajs-2380	88	24	(	(	PUNCT
iajs-2380	88	25	)	)	PUNCT
iajs-2380	88	26	(	(	PUNCT
iajs-2380	88	27	)	)	PUNCT
iajs-2380	88	28	(	(	PUNCT
iajs-2380	88	29	)	)	PUNCT
iajs-2380	88	30	(	(	PUNCT
iajs-2380	88	31	)	)	PUNCT
iajs-2380	88	32	(	(	PUNCT
iajs-2380	88	33	)	)	PUNCT
iajs-2380	88	34	(	(	PUNCT
iajs-2380	88	35	)	)	PUNCT
iajs-2380	88	36	(	(	PUNCT
iajs-2380	88	37	)	)	PUNCT
iajs-2380	88	38	(	(	PUNCT
iajs-2380	88	39	)	)	PUNCT
iajs-2380	88	40	(	(	PUNCT
iajs-2380	88	41	)	)	PUNCT
iajs-2380	88	42	(	(	PUNCT
iajs-2380	88	43	)	)	PUNCT
iajs-2380	88	44	(	(	PUNCT
iajs-2380	88	45	)	)	PUNCT
iajs-2380	88	46	(	(	PUNCT
iajs-2380	88	47	)	)	PUNCT
iajs-2380	88	48	(	(	PUNCT
iajs-2380	88	49	)	)	PUNCT
iajs-2380	88	50	(	(	PUNCT
iajs-2380	88	51	)	)	PUNCT
iajs-2380	88	52	(	(	PUNCT
iajs-2380	88	53	)	)	PUNCT
iajs-2380	88	54	(	(	PUNCT
iajs-2380	88	55	)	)	PUNCT
iajs-2380	88	56	(	(	PUNCT
iajs-2380	88	57	)	)	PUNCT
iajs-2380	88	58	(	(	PUNCT
iajs-2380	88	59	)	)	PUNCT
iajs-2380	88	60	(	(	PUNCT
iajs-2380	88	61	)	)	PUNCT
iajs-2380	88	62	(	(	PUNCT
iajs-2380	88	63	)	)	PUNCT
iajs-2380	88	64	(	(	PUNCT
iajs-2380	88	65	)	)	PUNCT
iajs-2380	88	66	(	(	PUNCT
iajs-2380	88	67	)	)	PUNCT
iajs-2380	89	1	|	|	ADV
iajs-2380	89	2	‖	‖	PROPN
iajs-2380	89	3	‖	‖	PROPN
iajs-2380	89	4	‖	‖	PROPN
iajs-2380	89	5	‖	‖	PROPN
iajs-2380	89	6	‖	‖	PROPN
iajs-2380	89	7	‖	‖	PROPN
iajs-2380	89	8	‖	‖	PROPN
iajs-2380	89	9	‖	‖	PROPN
iajs-2380	89	10	‖	‖	PROPN
iajs-2380	89	11	‖	‖	PROPN
iajs-2380	89	12	‖	‖	PROPN
iajs-2380	89	13	‖	‖	PROPN
iajs-2380	89	14	‖	‖	PROPN
iajs-2380	89	15	‖	‖	PROPN
iajs-2380	89	16	‖	‖	PROPN
iajs-2380	89	17	‖	‖	PROPN
iajs-2380	89	18	‖	‖	PROPN
iajs-2380	89	19	‖	‖	PROPN
iajs-2380	89	20	‖	‖	PROPN
iajs-2380	89	21	‖	‖	PROPN
iajs-2380	89	22	‖	‖	PROPN
iajs-2380	89	23	‖	‖	PROPN
iajs-2380	89	24	‖	‖	PROPN
iajs-2380	89	25	‖	‖	PROPN
iajs-2380	89	26	‖	‖	PROPN
iajs-2380	89	27	‖	‖	PROPN
iajs-2380	89	28	‖	‖	PROPN
iajs-2380	89	29	‖	‖	PROPN
iajs-2380	89	30	‖	‖	PROPN
iajs-2380	89	31	‖	‖	PROPN
iajs-2380	89	32	‖	‖	PROPN
iajs-2380	89	33	‖	‖	PROPN
iajs-2380	89	34	‖	‖	PROPN
iajs-2380	89	35	‖	‖	PROPN
iajs-2380	89	36	‖	‖	PROPN
iajs-2380	89	37	‖	‖	PROPN
iajs-2380	89	38	‖	‖	PROPN
iajs-2380	89	39	‖	‖	PROPN
iajs-2380	89	40	‖	‖	PROPN
iajs-2380	89	41	‖	‖	PROPN
iajs-2380	89	42	‖	‖	PROPN
iajs-2380	89	43	‖	‖	PROPN
iajs-2380	89	44	‖	‖	PROPN
iajs-2380	89	45	‖	‖	PROPN
iajs-2380	89	46	‖	‖	PROPN
iajs-2380	89	47	‖	‖	PROPN
iajs-2380	89	48	‖	‖	PROPN
iajs-2380	89	49	‖	‖	PROPN
iajs-2380	89	50	→	→	SYM
iajs-2380	89	51	second	second	ADJ
iajs-2380	89	52	,	,	PUNCT
iajs-2380	89	53	the	the	DET
iajs-2380	89	54	right	right	ADJ
iajs-2380	89	55	hand	hand	NOUN
iajs-2380	89	56	side	side	NOUN
iajs-2380	89	57	(	(	PUNCT
iajs-2380	89	58	r.h.s)of	r.h.s)of	NOUN
iajs-2380	89	59	(	(	PUNCT
iajs-2380	89	60	22	22	NUM
iajs-2380	89	61	)	)	PUNCT
iajs-2380	89	62	converges	converge	VERB
iajs-2380	89	63	to	to	ADP
iajs-2380	89	64	the	the	DET
iajs-2380	89	65	r	r	PROPN
iajs-2380	89	66	..	..	SYM
iajs-2380	89	67	h.s	h.s	PROPN
iajs-2380	89	68	of	of	ADP
iajs-2380	89	69	(	(	PUNCT
iajs-2380	89	70	23	23	NUM
iajs-2380	89	71	)	)	PUNCT
iajs-2380	89	72	,	,	PUNCT
iajs-2380	89	73	since	since	SCONJ
iajs-2380	89	74	→	→	SYM
iajs-2380	89	75	(	(	PUNCT
iajs-2380	89	76	(	(	PUNCT
iajs-2380	89	77	)	)	PUNCT
iajs-2380	89	78	)	)	PUNCT
iajs-2380	89	79	,	,	PUNCT
iajs-2380	89	80	which	which	PRON
iajs-2380	89	81	gives	give	VERB
iajs-2380	89	82	(	(	PUNCT
iajs-2380	89	83	22	22	NUM
iajs-2380	89	84	)	)	PUNCT
iajs-2380	89	85	converges	converge	VERB
iajs-2380	89	86	to	to	ADP
iajs-2380	89	87	(	(	PUNCT
iajs-2380	89	88	23	23	NUM
iajs-2380	89	89	)	)	PUNCT
iajs-2380	89	90	.	.	PUNCT
iajs-2380	90	1	but	but	CCONJ
iajs-2380	90	2	(	(	PUNCT
iajs-2380	90	3	)	)	PUNCT
iajs-2380	90	4	is	be	AUX
iajs-2380	90	5	w.l.s	w.l.s	NOUN
iajs-2380	90	6	.	.	PROPN
iajs-2380	90	7	,	,	PUNCT
iajs-2380	90	8	with	with	ADP
iajs-2380	90	9	(	(	PUNCT
iajs-2380	90	10	(	(	PUNCT
iajs-2380	90	11	)	)	PUNCT
iajs-2380	90	12	)	)	PUNCT
iajs-2380	90	13	,	,	PUNCT
iajs-2380	90	14	then	then	ADV
iajs-2380	90	15	(	(	PUNCT
iajs-2380	90	16	)	)	PUNCT
iajs-2380	90	17	(	(	PUNCT
iajs-2380	90	18	)	)	PUNCT
iajs-2380	90	19	⃗⃗	⃗⃗	PROPN
iajs-2380	90	20	⃗⃗	⃗⃗	PROPN
iajs-2380	90	21	(	(	PUNCT
iajs-2380	90	22	⃗	⃗	PROPN
iajs-2380	90	23	)	)	PUNCT
iajs-2380	90	24	,	,	PUNCT
iajs-2380	90	25	which	which	PRON
iajs-2380	90	26	gives	give	VERB
iajs-2380	90	27	(	(	PUNCT
iajs-2380	90	28	)	)	PUNCT
iajs-2380	90	29	⃗⃗	⃗⃗	PROPN
iajs-2380	90	30	⃗⃗	⃗⃗	PROPN
iajs-2380	90	31	(	(	PUNCT
iajs-2380	90	32	⃗	⃗	PROPN
iajs-2380	90	33	)	)	PUNCT
iajs-2380	90	34	i	i	PRON
iajs-2380	90	35	.e	.e	PROPN
iajs-2380	90	36	.	.	PUNCT
iajs-2380	90	37	,	,	PUNCT
iajs-2380	90	38	is	be	AUX
iajs-2380	90	39	a	a	DET
iajs-2380	90	40	ccocv	ccocv	NOUN
iajs-2380	90	41	.	.	PUNCT
iajs-2380	91	1	one	one	PRON
iajs-2380	91	2	can	can	AUX
iajs-2380	91	3	easily	easily	ADV
iajs-2380	91	4	applies	apply	VERB
iajs-2380	91	5	remark	remark	VERB
iajs-2380	91	6	4.1	4.1	NUM
iajs-2380	91	7	,	,	PUNCT
iajs-2380	91	8	to	to	PART
iajs-2380	91	9	get	get	VERB
iajs-2380	91	10	the	the	DET
iajs-2380	91	11	uniqueness	uniqueness	NOUN
iajs-2380	91	12	of	of	ADP
iajs-2380	91	13	.	.	PUNCT
iajs-2380	92	1	5	5	X
iajs-2380	92	2	.	.	PUNCT
iajs-2380	93	1	the	the	DET
iajs-2380	93	2	necessary	necessary	ADJ
iajs-2380	93	3	conditions	condition	NOUN
iajs-2380	93	4	for	for	ADP
iajs-2380	93	5	optimality	optimality	NOUN
iajs-2380	93	6	theorem	theorem	VERB
iajs-2380	93	7	5.1	5.1	NUM
iajs-2380	93	8	:	:	PUNCT
iajs-2380	93	9	consider	consider	VERB
iajs-2380	93	10	the	the	DET
iajs-2380	93	11	cost	cost	NOUN
iajs-2380	93	12	function	function	NOUN
iajs-2380	93	13	(	(	PUNCT
iajs-2380	93	14	5	5	NUM
iajs-2380	93	15	)	)	PUNCT
iajs-2380	93	16	,	,	PUNCT
iajs-2380	93	17	and	and	CCONJ
iajs-2380	93	18	the	the	DET
iajs-2380	93	19	taeqs	taeq	NOUN
iajs-2380	93	20	(	(	PUNCT
iajs-2380	93	21	)	)	PUNCT
iajs-2380	93	22	equations	equation	NOUN
iajs-2380	93	23	of	of	ADP
iajs-2380	93	24	the	the	DET
iajs-2380	93	25	state	state	NOUN
iajs-2380	93	26	equations	equation	NOUN
iajs-2380	93	27	(	(	PUNCT
iajs-2380	93	28	1	1	NUM
iajs-2380	93	29	-	-	SYM
iajs-2380	93	30	4	4	NUM
iajs-2380	93	31	)	)	PUNCT
iajs-2380	93	32	are	be	AUX
iajs-2380	93	33	given	give	VERB
iajs-2380	93	34	by	by	ADP
iajs-2380	93	35	:	:	PUNCT
iajs-2380	93	36	(	(	PUNCT
iajs-2380	93	37	24	24	NUM
iajs-2380	93	38	)	)	PUNCT
iajs-2380	93	39	(	(	PUNCT
iajs-2380	93	40	25	25	NUM
iajs-2380	93	41	)	)	PUNCT
iajs-2380	93	42	(	(	PUNCT
iajs-2380	93	43	26	26	NUM
iajs-2380	93	44	)	)	PUNCT
iajs-2380	93	45	341	341	NUM
iajs-2380	93	46	ibn	ibn	PROPN
iajs-2380	93	47	al	al	PROPN
iajs-2380	93	48	-	-	PUNCT
iajs-2380	93	49	haitham	haitham	PROPN
iajs-2380	93	50	jour	jour	X
iajs-2380	93	51	.	.	PROPN
iajs-2380	94	1	for	for	ADP
iajs-2380	94	2	pure	pure	ADJ
iajs-2380	94	3	&	&	CCONJ
iajs-2380	94	4	appl	appl	PROPN
iajs-2380	94	5	.	.	PUNCT
iajs-2380	95	1	sci	sci	PROPN
iajs-2380	95	2	.	.	PROPN
iajs-2380	96	1	33	33	NUM
iajs-2380	96	2	(	(	PUNCT
iajs-2380	96	3	1	1	NUM
iajs-2380	96	4	)	)	PUNCT
iajs-2380	96	5	2020	2020	NUM
iajs-2380	96	6	(	(	PUNCT
iajs-2380	96	7	27	27	NUM
iajs-2380	96	8	)	)	PUNCT
iajs-2380	96	9	then	then	ADV
iajs-2380	96	10	the	the	DET
iajs-2380	96	11	fréchet	fréchet	NOUN
iajs-2380	96	12	derivative	derivative	NOUN
iajs-2380	96	13	of	of	ADP
iajs-2380	96	14	is	be	AUX
iajs-2380	96	15	(	(	PUNCT
iajs-2380	96	16	(	(	PUNCT
iajs-2380	96	17	)	)	PUNCT
iajs-2380	96	18	⃗⃗⃗⃗	⃗⃗⃗⃗	NUM
iajs-2380	96	19	)	)	PUNCT
iajs-2380	97	1	(	(	PUNCT
iajs-2380	97	2	⃗⃗⃗⃗	⃗⃗⃗⃗	ADV
iajs-2380	97	3	)	)	PUNCT
iajs-2380	97	4	proof	proof	NOUN
iajs-2380	97	5	:	:	PUNCT
iajs-2380	97	6	writing	write	VERB
iajs-2380	97	7	the	the	DET
iajs-2380	97	8	taeqs	taeq	NOUN
iajs-2380	97	9	(	(	PUNCT
iajs-2380	97	10	19	19	NUM
iajs-2380	97	11	-	-	SYM
iajs-2380	97	12	22	22	NUM
iajs-2380	97	13	)	)	PUNCT
iajs-2380	97	14	by	by	ADP
iajs-2380	97	15	their	their	PRON
iajs-2380	97	16	wf	wf	PROPN
iajs-2380	97	17	,	,	PUNCT
iajs-2380	97	18	then	then	ADV
iajs-2380	97	19	adding	add	VERB
iajs-2380	97	20	them	they	PRON
iajs-2380	97	21	and	and	CCONJ
iajs-2380	97	22	then	then	ADV
iajs-2380	97	23	substi	substi	VERB
iajs-2380	97	24	tuting	tut	VERB
iajs-2380	97	25	⃗⃗	⃗⃗	NOUN
iajs-2380	97	26	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	97	27	in	in	ADP
iajs-2380	97	28	the	the	DET
iajs-2380	97	29	resulting	result	VERB
iajs-2380	97	30	equation	equation	NOUN
iajs-2380	97	31	to	to	PART
iajs-2380	97	32	get	get	VERB
iajs-2380	97	33	the	the	DET
iajs-2380	97	34	following	follow	VERB
iajs-2380	97	35	wf	wf	PROPN
iajs-2380	97	36	(	(	PUNCT
iajs-2380	97	37	the	the	DET
iajs-2380	97	38	proof	proof	NOUN
iajs-2380	97	39	of	of	ADP
iajs-2380	97	40	the	the	DET
iajs-2380	97	41	existences	existence	NOUN
iajs-2380	97	42	of	of	ADP
iajs-2380	97	43	a	a	DET
iajs-2380	97	44	unique	unique	ADJ
iajs-2380	97	45	solution	solution	NOUN
iajs-2380	97	46	for	for	ADP
iajs-2380	97	47	this	this	DET
iajs-2380	97	48	wf	wf	PROPN
iajs-2380	97	49	is	be	AUX
iajs-2380	97	50	simpler	simple	ADJ
iajs-2380	97	51	than	than	ADP
iajs-2380	97	52	the	the	DET
iajs-2380	97	53	proof	proof	NOUN
iajs-2380	97	54	of	of	ADP
iajs-2380	97	55	theorem	theorem	NOUN
iajs-2380	97	56	(	(	PUNCT
iajs-2380	97	57	3.1	3.1	NUM
iajs-2380	97	58	)	)	PUNCT
iajs-2380	97	59	)	)	PUNCT
iajs-2380	97	60	:	:	PUNCT
iajs-2380	98	1	(	(	PUNCT
iajs-2380	98	2	)	)	PUNCT
iajs-2380	98	3	(	(	PUNCT
iajs-2380	98	4	)	)	PUNCT
iajs-2380	98	5	(	(	PUNCT
iajs-2380	98	6	)	)	PUNCT
iajs-2380	98	7	(	(	PUNCT
iajs-2380	98	8	)	)	PUNCT
iajs-2380	98	9	(	(	PUNCT
iajs-2380	98	10	)	)	PUNCT
iajs-2380	98	11	(	(	PUNCT
iajs-2380	98	12	)	)	PUNCT
iajs-2380	98	13	(	(	PUNCT
iajs-2380	98	14	)	)	PUNCT
iajs-2380	98	15	(	(	PUNCT
iajs-2380	98	16	)	)	PUNCT
iajs-2380	98	17	(	(	PUNCT
iajs-2380	98	18	)	)	PUNCT
iajs-2380	98	19	(	(	PUNCT
iajs-2380	98	20	)	)	PUNCT
iajs-2380	98	21	(	(	PUNCT
iajs-2380	98	22	)	)	PUNCT
iajs-2380	98	23	(	(	PUNCT
iajs-2380	98	24	)	)	PUNCT
iajs-2380	98	25	(	(	PUNCT
iajs-2380	98	26	)	)	PUNCT
iajs-2380	98	27	(	(	PUNCT
iajs-2380	98	28	)	)	PUNCT
iajs-2380	98	29	(	(	PUNCT
iajs-2380	98	30	)	)	PUNCT
iajs-2380	98	31	(	(	PUNCT
iajs-2380	98	32	28	28	NUM
iajs-2380	98	33	)	)	PUNCT
iajs-2380	98	34	now	now	ADV
iajs-2380	98	35	,	,	PUNCT
iajs-2380	98	36	substituting	substitute	VERB
iajs-2380	98	37	the	the	DET
iajs-2380	98	38	solutions	solution	NOUN
iajs-2380	98	39	and	and	CCONJ
iajs-2380	98	40	in	in	ADP
iajs-2380	98	41	(	(	PUNCT
iajs-2380	98	42	6	6	NUM
iajs-2380	98	43	)	)	PUNCT
iajs-2380	98	44	separately	separately	ADV
iajs-2380	98	45	,	,	PUNCT
iajs-2380	98	46	then	then	ADV
iajs-2380	98	47	subtracting	subtract	VERB
iajs-2380	98	48	the	the	DET
iajs-2380	98	49	obtained	obtain	VERB
iajs-2380	98	50	1	1	NUM
iajs-2380	98	51	s	s	NOUN
iajs-2380	98	52	t	t	NOUN
iajs-2380	98	53	equation	equation	NOUN
iajs-2380	98	54	from	from	ADP
iajs-2380	98	55	the	the	DET
iajs-2380	98	56	2	2	NUM
iajs-2380	98	57	n	n	NOUN
iajs-2380	98	58	d	d	NOUN
iajs-2380	98	59	one	one	NUM
iajs-2380	98	60	,	,	PUNCT
iajs-2380	98	61	finally	finally	ADV
iajs-2380	98	62	setting	set	VERB
iajs-2380	98	63	to	to	PART
iajs-2380	98	64	obtain	obtain	VERB
iajs-2380	98	65	(	(	PUNCT
iajs-2380	98	66	)	)	PUNCT
iajs-2380	98	67	(	(	PUNCT
iajs-2380	98	68	)	)	PUNCT
iajs-2380	98	69	(	(	PUNCT
iajs-2380	98	70	)	)	PUNCT
iajs-2380	98	71	(	(	PUNCT
iajs-2380	98	72	)	)	PUNCT
iajs-2380	98	73	(	(	PUNCT
iajs-2380	98	74	)	)	PUNCT
iajs-2380	98	75	(	(	PUNCT
iajs-2380	98	76	29	29	NUM
iajs-2380	98	77	)	)	PUNCT
iajs-2380	98	78	same	same	ADJ
iajs-2380	98	79	steps	step	NOUN
iajs-2380	98	80	can	can	AUX
iajs-2380	98	81	be	be	AUX
iajs-2380	98	82	used	use	VERB
iajs-2380	98	83	in	in	ADP
iajs-2380	98	84	equation	equation	NOUN
iajs-2380	98	85	(	(	PUNCT
iajs-2380	98	86	7)for	7)for	ADP
iajs-2380	98	87	the	the	DET
iajs-2380	98	88	solutions	solution	NOUN
iajs-2380	98	89	and	and	CCONJ
iajs-2380	98	90	with	with	ADP
iajs-2380	98	91	,	,	PUNCT
iajs-2380	98	92	(	(	PUNCT
iajs-2380	98	93	in	in	ADP
iajs-2380	98	94	equation	equation	NOUN
iajs-2380	98	95	(	(	PUNCT
iajs-2380	98	96	8)	8)	NUM
iajs-2380	98	97	for	for	ADP
iajs-2380	98	98	the	the	DET
iajs-2380	98	99	solution	solution	NOUN
iajs-2380	98	100	and	and	CCONJ
iajs-2380	98	101	with	with	ADP
iajs-2380	98	102	)	)	PUNCT
iajs-2380	98	103	,	,	PUNCT
iajs-2380	98	104	to	to	PART
iajs-2380	98	105	get	get	VERB
iajs-2380	98	106	respectively	respectively	ADV
iajs-2380	98	107	(	(	PUNCT
iajs-2380	98	108	)	)	PUNCT
iajs-2380	98	109	(	(	PUNCT
iajs-2380	98	110	)	)	PUNCT
iajs-2380	98	111	(	(	PUNCT
iajs-2380	98	112	)	)	PUNCT
iajs-2380	98	113	(	(	PUNCT
iajs-2380	98	114	)	)	PUNCT
iajs-2380	98	115	(	(	PUNCT
iajs-2380	98	116	)	)	PUNCT
iajs-2380	98	117	(	(	PUNCT
iajs-2380	98	118	30	30	NUM
iajs-2380	98	119	)	)	PUNCT
iajs-2380	98	120	(	(	PUNCT
iajs-2380	98	121	)	)	PUNCT
iajs-2380	98	122	(	(	PUNCT
iajs-2380	98	123	)	)	PUNCT
iajs-2380	98	124	(	(	PUNCT
iajs-2380	98	125	)	)	PUNCT
iajs-2380	98	126	(	(	PUNCT
iajs-2380	98	127	)	)	PUNCT
iajs-2380	98	128	(	(	PUNCT
iajs-2380	98	129	)	)	PUNCT
iajs-2380	98	130	(	(	PUNCT
iajs-2380	98	131	31	31	NUM
iajs-2380	98	132	)	)	PUNCT
iajs-2380	98	133	blending	blend	VERB
iajs-2380	98	134	together	together	ADV
iajs-2380	98	135	the	the	DET
iajs-2380	98	136	above	above	ADJ
iajs-2380	98	137	triple	triple	ADJ
iajs-2380	98	138	equations	equation	NOUN
iajs-2380	98	139	,	,	PUNCT
iajs-2380	98	140	then	then	ADV
iajs-2380	98	141	subtracting	subtract	VERB
iajs-2380	98	142	the	the	DET
iajs-2380	98	143	obtained	obtain	VERB
iajs-2380	98	144	equation	equation	NOUN
iajs-2380	98	145	from	from	ADP
iajs-2380	98	146	(	(	PUNCT
iajs-2380	98	147	28	28	NUM
iajs-2380	98	148	)	)	PUNCT
iajs-2380	98	149	,	,	PUNCT
iajs-2380	98	150	to	to	PART
iajs-2380	98	151	get	get	VERB
iajs-2380	98	152	(	(	PUNCT
iajs-2380	98	153	)	)	PUNCT
iajs-2380	98	154	(	(	PUNCT
iajs-2380	98	155	)	)	PUNCT
iajs-2380	98	156	(	(	PUNCT
iajs-2380	98	157	)	)	PUNCT
iajs-2380	98	158	(	(	PUNCT
iajs-2380	98	159	)	)	PUNCT
iajs-2380	98	160	(	(	PUNCT
iajs-2380	98	161	)	)	PUNCT
iajs-2380	98	162	(	(	PUNCT
iajs-2380	98	163	)	)	PUNCT
iajs-2380	98	164	(	(	PUNCT
iajs-2380	98	165	32	32	NUM
iajs-2380	98	166	)	)	PUNCT
iajs-2380	98	167	now	now	ADV
iajs-2380	98	168	,	,	PUNCT
iajs-2380	98	169	(	(	PUNCT
iajs-2380	98	170	5	5	NUM
iajs-2380	98	171	)	)	PUNCT
iajs-2380	98	172	,	,	PUNCT
iajs-2380	98	173	once	once	ADV
iajs-2380	98	174	get	get	VERB
iajs-2380	98	175	(	(	PUNCT
iajs-2380	98	176	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	98	177	)	)	PUNCT
iajs-2380	99	1	(	(	PUNCT
iajs-2380	99	2	)	)	PUNCT
iajs-2380	99	3	(	(	PUNCT
iajs-2380	99	4	)	)	PUNCT
iajs-2380	99	5	(	(	PUNCT
iajs-2380	99	6	)	)	PUNCT
iajs-2380	99	7	(	(	PUNCT
iajs-2380	99	8	)	)	PUNCT
iajs-2380	99	9	(	(	PUNCT
iajs-2380	99	10	)	)	PUNCT
iajs-2380	99	11	(	(	PUNCT
iajs-2380	99	12	)	)	PUNCT
iajs-2380	99	13	(	(	PUNCT
iajs-2380	99	14	)	)	PUNCT
iajs-2380	99	15	‖	‖	PROPN
iajs-2380	99	16	⃗⃗⃗⃗	⃗⃗⃗⃗	NOUN
iajs-2380	100	1	‖	‖	PROPN
iajs-2380	100	2	‖	‖	PROPN
iajs-2380	100	3	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	101	1	‖	‖	PROPN
iajs-2380	101	2	(	(	PUNCT
iajs-2380	101	3	33	33	NUM
iajs-2380	101	4	)	)	PUNCT
iajs-2380	101	5	from	from	ADP
iajs-2380	101	6	(	(	PUNCT
iajs-2380	101	7	32)and	32)and	NUM
iajs-2380	101	8	(	(	PUNCT
iajs-2380	101	9	33	33	NUM
iajs-2380	101	10	)	)	PUNCT
iajs-2380	101	11	,	,	PUNCT
iajs-2380	101	12	once	once	ADV
iajs-2380	101	13	get	get	VERB
iajs-2380	101	14	(	(	PUNCT
iajs-2380	101	15	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	101	16	)	)	PUNCT
iajs-2380	101	17	(	(	PUNCT
iajs-2380	101	18	)	)	PUNCT
iajs-2380	101	19	(	(	PUNCT
iajs-2380	101	20	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	101	21	)	)	PUNCT
iajs-2380	102	1	‖	‖	PROPN
iajs-2380	102	2	⃗⃗⃗⃗	⃗⃗⃗⃗	NOUN
iajs-2380	103	1	‖	‖	PROPN
iajs-2380	103	2	‖	‖	PROPN
iajs-2380	103	3	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	104	1	‖	‖	PROPN
iajs-2380	104	2	(	(	PUNCT
iajs-2380	104	3	34	34	NUM
iajs-2380	104	4	)	)	PUNCT
iajs-2380	104	5	from	from	ADP
iajs-2380	104	6	lemma	lemma	PROPN
iajs-2380	104	7	(	(	PUNCT
iajs-2380	104	8	4.1	4.1	NUM
iajs-2380	104	9	)	)	PUNCT
iajs-2380	104	10	,	,	PUNCT
iajs-2380	104	11	once	once	ADV
iajs-2380	104	12	obtain	obtain	VERB
iajs-2380	104	13	‖	‖	PROPN
iajs-2380	104	14	⃗⃗⃗⃗	⃗⃗⃗⃗	NOUN
iajs-2380	105	1	‖	‖	PROPN
iajs-2380	105	2	‖	‖	PROPN
iajs-2380	105	3	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	106	1	‖	‖	PROPN
iajs-2380	106	2	(	(	PUNCT
iajs-2380	106	3	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	106	4	)	)	PUNCT
iajs-2380	107	1	⃗⃗⃗⃗	⃗⃗⃗⃗	PROPN
iajs-2380	107	2	(	(	PUNCT
iajs-2380	107	3	35	35	NUM
iajs-2380	107	4	)	)	PUNCT
iajs-2380	108	1	where	where	SCONJ
iajs-2380	108	2	(	(	PUNCT
iajs-2380	108	3	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	108	4	)	)	PUNCT
iajs-2380	108	5	(	(	PUNCT
iajs-2380	108	6	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	108	7	)	)	PUNCT
iajs-2380	108	8	(	(	PUNCT
iajs-2380	108	9	⃗⃗⃗⃗	⃗⃗⃗⃗	ADV
iajs-2380	108	10	)	)	PUNCT
iajs-2380	108	11	→	→	PUNCT
iajs-2380	108	12	as	as	ADP
iajs-2380	108	13	⃗⃗⃗⃗	⃗⃗⃗⃗	NOUN
iajs-2380	108	14	→	→	PUNCT
iajs-2380	108	15	then	then	ADV
iajs-2380	108	16	from	from	ADP
iajs-2380	108	17	the	the	DET
iajs-2380	108	18	definition	definition	NOUN
iajs-2380	108	19	of	of	ADP
iajs-2380	108	20	fd	fd	PROPN
iajs-2380	108	21	of	of	ADP
iajs-2380	108	22	,	,	PUNCT
iajs-2380	108	23	and	and	CCONJ
iajs-2380	108	24	(	(	PUNCT
iajs-2380	108	25	34	34	NUM
iajs-2380	108	26	-	-	SYM
iajs-2380	108	27	35	35	NUM
iajs-2380	108	28	)	)	PUNCT
iajs-2380	108	29	,	,	PUNCT
iajs-2380	108	30	once	once	ADV
iajs-2380	108	31	get	get	VERB
iajs-2380	108	32	(	(	PUNCT
iajs-2380	108	33	(	(	PUNCT
iajs-2380	108	34	)	)	PUNCT
iajs-2380	108	35	⃗⃗⃗⃗	⃗⃗⃗⃗	NUM
iajs-2380	108	36	)	)	PUNCT
iajs-2380	109	1	(	(	PUNCT
iajs-2380	109	2	⃗⃗⃗⃗	⃗⃗⃗⃗	ADV
iajs-2380	109	3	)	)	PUNCT
iajs-2380	109	4	theorem	theorem	VERB
iajs-2380	109	5	5.2	5.2	NUM
iajs-2380	109	6	:	:	PUNCT
iajs-2380	109	7	the	the	DET
iajs-2380	109	8	ccocv	ccocv	NOUN
iajs-2380	109	9	of	of	ADP
iajs-2380	109	10	(	(	PUNCT
iajs-2380	109	11	14	14	NUM
iajs-2380	109	12	)	)	PUNCT
iajs-2380	109	13	is	be	AUX
iajs-2380	109	14	:	:	PUNCT
iajs-2380	109	15	(	(	PUNCT
iajs-2380	109	16	)	)	PUNCT
iajs-2380	109	17	with	with	ADP
iajs-2380	109	18	⃗	⃗	PROPN
iajs-2380	109	19	and	and	CCONJ
iajs-2380	109	20	⃗	⃗	PROPN
iajs-2380	109	21	.	.	PUNCT
iajs-2380	110	1	proof	proof	NOUN
iajs-2380	110	2	:	:	PUNCT
iajs-2380	110	3	if	if	SCONJ
iajs-2380	110	4	is	be	AUX
iajs-2380	110	5	ccocv	ccocv	NOUN
iajs-2380	110	6	of	of	ADP
iajs-2380	110	7	(	(	PUNCT
iajs-2380	110	8	1	1	NUM
iajs-2380	110	9	-	-	SYM
iajs-2380	110	10	4	4	NUM
iajs-2380	110	11	)	)	PUNCT
iajs-2380	110	12	,	,	PUNCT
iajs-2380	110	13	then	then	ADV
iajs-2380	110	14	(	(	PUNCT
iajs-2380	110	15	)	)	PUNCT
iajs-2380	110	16	⃗⃗	⃗⃗	PROPN
iajs-2380	110	17	⃗⃗	⃗⃗	PROPN
iajs-2380	110	18	(	(	PUNCT
iajs-2380	110	19	⃗	⃗	PROPN
iajs-2380	110	20	)	)	PUNCT
iajs-2380	110	21	,	,	PUNCT
iajs-2380	110	22	⃗	⃗	PROPN
iajs-2380	110	23	(	(	PUNCT
iajs-2380	110	24	(	(	PUNCT
iajs-2380	110	25	)	)	PUNCT
iajs-2380	110	26	)	)	PUNCT
iajs-2380	110	27	,	,	PUNCT
iajs-2380	110	28	311	311	NUM
iajs-2380	110	29	ibn	ibn	PROPN
iajs-2380	110	30	al	al	PROPN
iajs-2380	110	31	-	-	PUNCT
iajs-2380	110	32	haitham	haitham	PROPN
iajs-2380	110	33	jour	jour	X
iajs-2380	110	34	.	.	PROPN
iajs-2380	111	1	for	for	ADP
iajs-2380	111	2	pure	pure	ADJ
iajs-2380	111	3	&	&	CCONJ
iajs-2380	111	4	appl	appl	PROPN
iajs-2380	111	5	.	.	PUNCT
iajs-2380	112	1	sci	sci	PROPN
iajs-2380	112	2	.	.	PROPN
iajs-2380	113	1	33	33	NUM
iajs-2380	113	2	(	(	PUNCT
iajs-2380	113	3	1	1	NUM
iajs-2380	113	4	)	)	PUNCT
iajs-2380	113	5	2020	2020	NUM
iajs-2380	114	1	i	i	PRON
iajs-2380	114	2	.e	.e	PROPN
iajs-2380	114	3	.	.	PUNCT
iajs-2380	114	4	,	,	PUNCT
iajs-2380	114	5	(	(	PUNCT
iajs-2380	114	6	)	)	PUNCT
iajs-2380	115	1	⃗	⃗	PROPN
iajs-2380	115	2	⃗⃗⃗⃗	⃗⃗⃗⃗	X
iajs-2380	116	1	⃗	⃗	NUM
iajs-2380	116	2	thus	thus	ADV
iajs-2380	116	3	nco	nco	NOUN
iajs-2380	116	4	is	be	AUX
iajs-2380	116	5	(	(	PUNCT
iajs-2380	116	6	)	)	PUNCT
iajs-2380	116	7	(	(	PUNCT
iajs-2380	116	8	⃗	⃗	PROPN
iajs-2380	116	9	)	)	PUNCT
iajs-2380	116	10	,	,	PUNCT
iajs-2380	116	11	⃗	⃗	PROPN
iajs-2380	116	12	(	(	PUNCT
iajs-2380	116	13	(	(	PUNCT
iajs-2380	116	14	)	)	PUNCT
iajs-2380	116	15	)	)	PUNCT
iajs-2380	116	16	.	.	PUNCT
iajs-2380	117	1	6	6	X
iajs-2380	117	2	.	.	X
iajs-2380	117	3	conclusion	conclusion	NOUN
iajs-2380	117	4	:	:	PUNCT
iajs-2380	117	5	the	the	DET
iajs-2380	117	6	existence	existence	NOUN
iajs-2380	117	7	and	and	CCONJ
iajs-2380	117	8	uniqueness	uniqueness	NOUN
iajs-2380	117	9	theorem	theorem	VERB
iajs-2380	117	10	for	for	ADP
iajs-2380	117	11	the	the	DET
iajs-2380	117	12	solution	solution	NOUN
iajs-2380	117	13	(	(	PUNCT
iajs-2380	117	14	csv	csv	NOUN
iajs-2380	117	15	)	)	PUNCT
iajs-2380	117	16	of	of	ADP
iajs-2380	117	17	the	the	DET
iajs-2380	117	18	tlepdeqs	tlepdeq	NOUN
iajs-2380	117	19	is	be	AUX
iajs-2380	117	20	stated	state	VERB
iajs-2380	117	21	and	and	CCONJ
iajs-2380	117	22	proved	prove	VERB
iajs-2380	117	23	successfully	successfully	ADV
iajs-2380	117	24	by	by	ADP
iajs-2380	117	25	using	use	VERB
iajs-2380	117	26	the	the	DET
iajs-2380	117	27	gm	gm	PROPN
iajs-2380	117	28	when	when	SCONJ
iajs-2380	117	29	the	the	DET
iajs-2380	117	30	cccv	cccv	NOUN
iajs-2380	117	31	is	be	AUX
iajs-2380	117	32	given	give	VERB
iajs-2380	117	33	.	.	PUNCT
iajs-2380	118	1	also	also	ADV
iajs-2380	118	2	,	,	PUNCT
iajs-2380	118	3	the	the	DET
iajs-2380	118	4	existence	existence	NOUN
iajs-2380	118	5	theorem	theorem	NOUN
iajs-2380	118	6	of	of	ADP
iajs-2380	118	7	a	a	DET
iajs-2380	118	8	ccocv	ccocv	NOUN
iajs-2380	118	9	governing	govern	VERB
iajs-2380	118	10	by	by	ADP
iajs-2380	118	11	the	the	DET
iajs-2380	118	12	tlepdeqs	tlepdeq	NOUN
iajs-2380	118	13	is	be	AUX
iajs-2380	118	14	proved	prove	VERB
iajs-2380	118	15	.	.	PUNCT
iajs-2380	119	1	the	the	DET
iajs-2380	119	2	existence	existence	NOUN
iajs-2380	119	3	and	and	CCONJ
iajs-2380	119	4	uniqueness	uniqueness	NOUN
iajs-2380	119	5	s	s	PART
iajs-2380	119	6	olution	olution	NOUN
iajs-2380	119	7	of	of	ADP
iajs-2380	119	8	the	the	DET
iajs-2380	119	9	taeqs	taeq	NOUN
iajs-2380	119	10	related	relate	VERB
iajs-2380	119	11	with	with	ADP
iajs-2380	119	12	the	the	DET
iajs-2380	119	13	triple	triple	NOUN
iajs-2380	119	14	of	of	ADP
iajs-2380	119	15	the	the	DET
iajs-2380	119	16	state	state	NOUN
iajs-2380	119	17	equations	equation	NOUN
iajs-2380	119	18	is	be	AUX
iajs-2380	119	19	sated	sate	VERB
iajs-2380	119	20	and	and	CCONJ
iajs-2380	119	21	studied.the	studied.the	DET
iajs-2380	119	22	derivation	derivation	NOUN
iajs-2380	119	23	of	of	ADP
iajs-2380	119	24	the	the	DET
iajs-2380	119	25	fd	fd	PROPN
iajs-2380	119	26	is	be	AUX
iajs-2380	119	27	given	give	VERB
iajs-2380	119	28	.	.	PUNCT
iajs-2380	120	1	finally	finally	ADV
iajs-2380	120	2	the	the	DET
iajs-2380	120	3	nco	nco	NOUN
iajs-2380	120	4	of	of	ADP
iajs-2380	120	5	this	this	DET
iajs-2380	120	6	problem	problem	NOUN
iajs-2380	120	7	is	be	AUX
iajs-2380	120	8	proved	prove	VERB
iajs-2380	120	9	.	.	PUNCT
iajs-2380	121	1	references	reference	NOUN
iajs-2380	121	2	1	1	NUM
iajs-2380	121	3	.	.	PUNCT
iajs-2380	122	1	nguyen	nguyen	PROPN
iajs-2380	122	2	,	,	PUNCT
iajs-2380	122	3	d.b	d.b	PROPN
iajs-2380	122	4	.	.	PROPN
iajs-2380	122	5	;	;	PUNCT
iajs-2380	122	6	scherpen	scherpen	VERB
iajs-2380	122	7	,	,	PUNCT
iajs-2380	122	8	j.m.a	j.m.a	NOUN
iajs-2380	122	9	.	.	PUNCT
iajs-2380	122	10	;	;	PUNCT
iajs-2380	123	1	bliek	bliek	PROPN
iajs-2380	123	2	,	,	PUNCT
iajs-2380	123	3	f.	f.	PROPN
iajs-2380	123	4	distributed	distribute	VERB
iajs-2380	123	5	optimal	optimal	ADJ
iajs-2380	123	6	control	control	NOUN
iajs-2380	123	7	of	of	ADP
iajs-2380	123	8	smart	smart	ADJ
iajs-2380	123	9	electricity	electricity	NOUN
iajs-2380	123	10	grids	grid	NOUN
iajs-2380	123	11	with	with	ADP
iajs-2380	123	12	congestion	congestion	NOUN
iajs-2380	123	13	management	management	NOUN
iajs-2380	123	14	.	.	PUNCT
iajs-2380	124	1	ieee	ieee	NOUN
iajs-2380	124	2	transactions	transaction	NOUN
iajs-2380	124	3	on	on	ADP
iajs-2380	124	4	automation	automation	NOUN
iajs-2380	124	5	science	science	NOUN
iajs-2380	124	6	and	and	CCONJ
iajs-2380	124	7	engineering.2017	engineering.2017	PROPN
iajs-2380	124	8	,	,	PUNCT
iajs-2380	124	9	14	14	NUM
iajs-2380	124	10	,	,	PUNCT
iajs-2380	124	11	2	2	NUM
iajs-2380	124	12	,	,	PUNCT
iajs-2380	124	13	494	494	NUM
iajs-2380	124	14	-	-	SYM
iajs-2380	124	15	504	504	NUM
iajs-2380	124	16	,	,	PUNCT
iajs-2380	124	17	doi	doi	NOUN
iajs-2380	124	18	:	:	PUNCT
iajs-2380	124	19	10.1109	10.1109	NUM
iajs-2380	124	20	/	/	SYM
iajs-2380	124	21	tase.2017.2664061	tase.2017.2664061	NOUN
iajs-2380	124	22	.	.	PUNCT
iajs-2380	125	1	2	2	NUM
iajs-2380	125	2	.	.	NOUN
iajs-2380	125	3	braun	braun	NOUN
iajs-2380	125	4	,	,	PUNCT
iajs-2380	125	5	d.j	d.j	PROPN
iajs-2380	125	6	.	.	PROPN
iajs-2380	125	7	;	;	PUNCT
iajs-2380	125	8	petit	petit	PROPN
iajs-2380	125	9	,	,	PUNCT
iajs-2380	125	10	f.	f.	PROPN
iajs-2380	125	11	;	;	PUNCT
iajs-2380	125	12	huber	huber	PROPN
iajs-2380	125	13	,	,	PUNCT
iajs-2380	125	14	f.	f.	PROPN
iajs-2380	125	15	;	;	PUNCT
iajs-2380	125	16	haddadin	haddadin	PROPN
iajs-2380	125	17	,	,	PUNCT
iajs-2380	125	18	s.	s.	PROPN
iajs-2380	125	19	;	;	PUNCT
iajs-2380	125	20	smaga	smaga	NOUN
iajs-2380	125	21	,	,	PUNCT
iajs-2380	125	22	v.d.p	v.d.p	PROPN
iajs-2380	125	23	.	.	PUNCT
iajs-2380	125	24	;	;	PUNCT
iajs-2380	125	25	albu	albu	PROPN
iajs-2380	125	26	-	-	PUNCT
iajs-2380	125	27	schaffer	schaffer	PROPN
iajs-2380	125	28	,	,	PUNCT
iajs-2380	125	29	a.	a.	NOUN
iajs-2380	125	30	;	;	PUNCT
iajs-2380	125	31	vijayakumar	vijayakumar	PROPN
iajs-2380	125	32	,	,	PUNCT
iajs-2380	125	33	s.	s.	PROPN
iajs-2380	125	34	robots	robots	PROPN
iajs-2380	125	35	driven	drive	VERB
iajs-2380	125	36	by	by	ADP
iajs-2380	125	37	compliant	compliant	ADJ
iajs-2380	125	38	actuators	actuator	NOUN
iajs-2380	125	39	:	:	PUNCT
iajs-2380	125	40	optimal	optimal	ADJ
iajs-2380	125	41	control	control	NOUN
iajs-2380	125	42	under	under	ADP
iajs-2380	125	43	actuation	actuation	NOUN
iajs-2380	125	44	constraints	constraint	NOUN
iajs-2380	125	45	.	.	PUNCT
iajs-2380	126	1	ieee	ieee	NOUN
iajs-2380	126	2	transactions	transaction	NOUN
iajs-2380	126	3	on	on	ADP
iajs-2380	126	4	robotics.2013	robotics.2013	SYM
iajs-2380	126	5	,	,	PUNCT
iajs-2380	126	6	29	29	NUM
iajs-2380	126	7	,	,	PUNCT
iajs-2380	126	8	5	5	NUM
iajs-2380	126	9	,	,	PUNCT
iajs-2380	126	10	1085	1085	NUM
iajs-2380	126	11	-	-	SYM
iajs-2380	126	12	1101	1101	NUM
iajs-2380	126	13	,	,	PUNCT
iajs-2380	126	14	doi	doi	NOUN
iajs-2380	126	15	:	:	PUNCT
iajs-2380	126	16	10.1109	10.1109	NUM
iajs-2380	126	17	/tro.2013.2271099	/tro.2013.2271099	PUNCT
iajs-2380	126	18	.	.	PUNCT
iajs-2380	127	1	3	3	X
iajs-2380	127	2	.	.	X
iajs-2380	127	3	chalak	chalak	PROPN
iajs-2380	127	4	,	,	PUNCT
iajs-2380	127	5	m.	m.	NOUN
iajs-2380	127	6	optimal	optimal	ADJ
iajs-2380	127	7	control	control	NOUN
iajs-2380	127	8	for	for	ADP
iajs-2380	127	9	a	a	DET
iajs-2380	127	10	dispersing	disperse	VERB
iajs-2380	127	11	biological	biological	ADJ
iajs-2380	127	12	agent	agent	NOUN
iajs-2380	127	13	.	.	PUNCT
iajs-2380	128	1	journal	journal	NOUN
iajs-2380	128	2	of	of	ADP
iajs-2380	128	3	agricultural	agricultural	ADJ
iajs-2380	128	4	and	and	CCONJ
iajs-2380	128	5	resource	resource	NOUN
iajs-2380	128	6	economics.2014	economics.2014	PROPN
iajs-2380	128	7	,	,	PUNCT
iajs-2380	128	8	39	39	NUM
iajs-2380	128	9	,	,	PUNCT
iajs-2380	128	10	2	2	NUM
iajs-2380	128	11	,	,	PUNCT
iajs-2380	128	12	271–289	271–289	NUM
iajs-2380	128	13	.	.	PUNCT
iajs-2380	129	1	4	4	NUM
iajs-2380	129	2	.	.	X
iajs-2380	129	3	grüne	grüne	PROPN
iajs-2380	129	4	,	,	PUNCT
iajs-2380	129	5	l.	l.	PROPN
iajs-2380	129	6	;	;	PUNCT
iajs-2380	129	7	semmler	semmler	PROPN
iajs-2380	129	8	,	,	PUNCT
iajs-2380	129	9	w.	w.	PROPN
iajs-2380	129	10	;	;	PUNCT
iajs-2380	129	11	stieler	stieler	NOUN
iajs-2380	129	12	,	,	PUNCT
iajs-2380	129	13	m.	m.	NOUN
iajs-2380	129	14	using	use	VERB
iajs-2380	129	15	nonlinear	nonlinear	ADJ
iajs-2380	129	16	model	model	NOUN
iajs-2380	129	17	predictive	predictive	PROPN
iajs-2380	129	18	control	control	NOUN
iajs-2380	129	19	for	for	ADP
iajs-2380	129	20	dynamic	dynamic	ADJ
iajs-2380	129	21	decision	decision	NOUN
iajs-2380	129	22	problems	problem	NOUN
iajs-2380	129	23	in	in	ADP
iajs-2380	129	24	economics	economic	NOUN
iajs-2380	129	25	.	.	PUNCT
iajs-2380	130	1	journal	journal	PROPN
iajs-2380	130	2	of	of	ADP
iajs-2380	130	3	economic	economic	ADJ
iajs-2380	130	4	dynamics	dynamic	NOUN
iajs-2380	130	5	and	and	CCONJ
iajs-2380	130	6	control.2015	control.2015	PROPN
iajs-2380	130	7	,	,	PUNCT
iajs-2380	130	8	60	60	NUM
iajs-2380	130	9	,	,	PUNCT
iajs-2380	130	10	112	112	NUM
iajs-2380	130	11	-	-	SYM
iajs-2380	130	12	133	133	NUM
iajs-2380	130	13	,	,	PUNCT
iajs-2380	130	14	https://hal.inria.fr/hal-01068831	https://hal.inria.fr/hal-01068831	NOUN
iajs-2380	130	15	.	.	NOUN
iajs-2380	130	16	5	5	NUM
iajs-2380	130	17	.	.	X
iajs-2380	131	1	tilahun	tilahun	PROPN
iajs-2380	131	2	,	,	PUNCT
iajs-2380	131	3	g.t	g.t	PROPN
iajs-2380	131	4	.	.	PROPN
iajs-2380	131	5	;	;	PUNCT
iajs-2380	131	6	makinde	makinde	PROPN
iajs-2380	131	7	,	,	PUNCT
iajs-2380	131	8	o.	o.	PROPN
iajs-2380	131	9	d.	d.	PROPN
iajs-2380	131	10	;	;	PUNCT
iajs-2380	131	11	malonza	malonza	PROPN
iajs-2380	131	12	,	,	PUNCT
iajs-2380	131	13	d.	d.	PROPN
iajs-2380	131	14	modelling	modelling	NOUN
iajs-2380	131	15	and	and	CCONJ
iajs-2380	131	16	optimal	optimal	ADJ
iajs-2380	131	17	control	control	NOUN
iajs-2380	131	18	of	of	ADP
iajs-2380	131	19	typhoid	typhoid	NOUN
iajs-2380	131	20	fever	fever	NOUN
iajs-2380	131	21	disease	disease	NOUN
iajs-2380	131	22	with	with	ADP
iajs-2380	131	23	cost	cost	NOUN
iajs-2380	131	24	-	-	PUNCT
iajs-2380	131	25	effective	effective	ADJ
iajs-2380	131	26	strategies	strategy	NOUN
iajs-2380	131	27	.	.	PUNCT
iajs-2380	132	1	computational	computational	ADJ
iajs-2380	132	2	and	and	CCONJ
iajs-2380	132	3	mathematical	mathematical	ADJ
iajs-2380	132	4	methods	method	NOUN
iajs-2380	132	5	in	in	ADP
iajs-2380	132	6	medicine	medicine	NOUN
iajs-2380	132	7	,	,	PUNCT
iajs-2380	132	8	2017	2017	NUM
iajs-2380	132	9	.	.	PUNCT
iajs-2380	133	1	6	6	NUM
iajs-2380	133	2	.	.	X
iajs-2380	133	3	yilmaz	yilmaz	PROPN
iajs-2380	133	4	,	,	PUNCT
iajs-2380	133	5	a.	a.	PROPN
iajs-2380	133	6	;	;	PUNCT
iajs-2380	133	7	mahariq	mahariq	NOUN
iajs-2380	133	8	,	,	PUNCT
iajs-2380	133	9	i.	i.	PROPN
iajs-2380	133	10	;	;	PUNCT
iajs-2380	133	11	yilmaz	yilmaz	PROPN
iajs-2380	133	12	,	,	PUNCT
iajs-2380	133	13	f.	f.	PROPN
iajs-2380	133	14	numerical	numerical	PROPN
iajs-2380	133	15	solutions	solution	NOUN
iajs-2380	133	16	of	of	ADP
iajs-2380	133	17	optimal	optimal	ADJ
iajs-2380	133	18	control	control	NOUN
iajs-2380	133	19	problems	problem	NOUN
iajs-2380	133	20	for	for	ADP
iajs-2380	133	21	microwave	microwave	NOUN
iajs-2380	133	22	heating.international	heating.international	PROPN
iajs-2380	133	23	journal	journal	NOUN
iajs-2380	133	24	of	of	ADP
iajs-2380	133	25	advances	advance	NOUN
iajs-2380	133	26	in	in	ADP
iajs-2380	133	27	science	science	NOUN
iajs-2380	133	28	engineering	engineering	NOUN
iajs-2380	133	29	and	and	CCONJ
iajs-2380	133	30	technology.2016	technology.2016	PROPN
iajs-2380	133	31	,	,	PUNCT
iajs-2380	133	32	4	4	NUM
iajs-2380	133	33	,	,	PUNCT
iajs-2380	133	34	3	3	NUM
iajs-2380	133	35	,	,	PUNCT
iajs-2380	133	36	64	64	NUM
iajs-2380	133	37	-	-	SYM
iajs-2380	133	38	66	66	NUM
iajs-2380	133	39	:	:	PUNCT
iajs-2380	133	40	issn	issn	PROPN
iajs-2380	133	41	:	:	PUNCT
iajs-2380	133	42	2321	2321	NUM
iajs-2380	133	43	-	-	SYM
iajs-2380	133	44	9009	9009	NUM
iajs-2380	133	45	.	.	PUNCT
iajs-2380	134	1	7	7	X
iajs-2380	134	2	.	.	X
iajs-2380	134	3	orpel	orpel	PROPN
iajs-2380	134	4	,	,	PUNCT
iajs-2380	134	5	a.	a.	NOUN
iajs-2380	134	6	optimal	optimal	ADJ
iajs-2380	134	7	control	control	NOUN
iajs-2380	134	8	problems	problem	NOUN
iajs-2380	134	9	with	with	ADP
iajs-2380	134	10	higher	high	ADJ
iajs-2380	134	11	order	order	NOUN
iajs-2380	134	12	constraints	constraint	NOUN
iajs-2380	134	13	.	.	PUNCT
iajs-2380	135	1	folia	folia	PROPN
iajs-2380	135	2	mathematica.2009	mathematica.2009	PROPN
iajs-2380	135	3	,	,	PUNCT
iajs-2380	135	4	16	16	NUM
iajs-2380	135	5	,	,	PUNCT
iajs-2380	135	6	1	1	NUM
iajs-2380	135	7	,	,	PUNCT
iajs-2380	135	8	31	31	NUM
iajs-2380	135	9	-	-	SYM
iajs-2380	135	10	44	44	NUM
iajs-2380	135	11	.	.	NOUN
iajs-2380	135	12	8	8	NUM
iajs-2380	135	13	.	.	PUNCT
iajs-2380	136	1	al	al	PROPN
iajs-2380	136	2	-	-	PUNCT
iajs-2380	136	3	hawasy	hawasy	PROPN
iajs-2380	136	4	,	,	PUNCT
iajs-2380	136	5	j.	j.	PROPN
iajs-2380	136	6	the	the	DET
iajs-2380	136	7	continuous	continuous	ADJ
iajs-2380	136	8	classical	classical	ADJ
iajs-2380	136	9	optimal	optimal	ADJ
iajs-2380	136	10	control	control	NOUN
iajs-2380	136	11	of	of	ADP
iajs-2380	136	12	a	a	DET
iajs-2380	136	13	nonlinear	nonlinear	ADJ
iajs-2380	136	14	hyperbolic	hyperbolic	ADJ
iajs-2380	136	15	equation	equation	NOUN
iajs-2380	136	16	(	(	PUNCT
iajs-2380	136	17	ccocp	ccocp	NOUN
iajs-2380	136	18	)	)	PUNCT
iajs-2380	136	19	.	.	PUNCT
iajs-2380	137	1	al	al	PROPN
iajs-2380	137	2	-	-	PUNCT
iajs-2380	137	3	mustansiriyah	mustansiriyah	PROPN
iajs-2380	137	4	journal	journal	NOUN
iajs-2380	137	5	of	of	ADP
iajs-2380	137	6	science.2008	science.2008	PROPN
iajs-2380	137	7	,	,	PUNCT
iajs-2380	137	8	19	19	NUM
iajs-2380	137	9	,	,	PUNCT
iajs-2380	137	10	8	8	NUM
iajs-2380	137	11	,	,	PUNCT
iajs-2380	137	12	96	96	NUM
iajs-2380	137	13	-	-	SYM
iajs-2380	137	14	110	110	NUM
iajs-2380	137	15	.	.	PUNCT
iajs-2380	138	1	9	9	NUM
iajs-2380	138	2	.	.	X
iajs-2380	138	3	chryssoverghi	chryssoverghi	PROPN
iajs-2380	138	4	,	,	PUNCT
iajs-2380	138	5	i.	i.	PROPN
iajs-2380	138	6	;	;	PUNCT
iajs-2380	138	7	al	al	PROPN
iajs-2380	138	8	-	-	PUNCT
iajs-2380	138	9	hawasy	hawasy	PROPN
iajs-2380	138	10	,	,	PUNCT
iajs-2380	138	11	j.	j.	PROPN
iajs-2380	138	12	the	the	DET
iajs-2380	138	13	continuous	continuous	ADJ
iajs-2380	138	14	classical	classical	ADJ
iajs-2380	138	15	optimal	optimal	ADJ
iajs-2380	138	16	control	control	NOUN
iajs-2380	138	17	problem	problem	NOUN
iajs-2380	138	18	of	of	ADP
iajs-2380	138	19	a	a	DET
iajs-2380	138	20	semi	semi	ADJ
iajs-2380	138	21	linear	linear	PROPN
iajs-2380	138	22	parabolic	parabolic	ADJ
iajs-2380	138	23	equations	equation	NOUN
iajs-2380	138	24	(	(	PUNCT
iajs-2380	138	25	ccocp	ccocp	NOUN
iajs-2380	138	26	)	)	PUNCT
iajs-2380	138	27	.	.	PUNCT
iajs-2380	139	1	journal	journal	PROPN
iajs-2380	139	2	of	of	ADP
iajs-2380	139	3	karbala	karbala	PROPN
iajs-2380	139	4	university.2010	university.2010	PROPN
iajs-2380	139	5	,	,	PUNCT
iajs-2380	139	6	8	8	NUM
iajs-2380	139	7	,	,	PUNCT
iajs-2380	139	8	3	3	NUM
iajs-2380	139	9	,	,	PUNCT
iajs-2380	139	10	57	57	NUM
iajs-2380	139	11	-	-	SYM
iajs-2380	139	12	70	70	NUM
iajs-2380	139	13	.	.	PUNCT
iajs-2380	139	14	10	10	NUM
iajs-2380	139	15	.	.	PUNCT
iajs-2380	140	1	bors	bor	NOUN
iajs-2380	140	2	,	,	PUNCT
iajs-2380	140	3	d.	d.	PROPN
iajs-2380	140	4	;	;	PUNCT
iajs-2380	140	5	walczak	walczak	PROPN
iajs-2380	140	6	,	,	PUNCT
iajs-2380	140	7	s.	s.	PROPN
iajs-2380	140	8	optimal	optimal	ADJ
iajs-2380	140	9	control	control	PROPN
iajs-2380	140	10	elliptic	elliptic	ADJ
iajs-2380	140	11	system	system	NOUN
iajs-2380	140	12	with	with	ADP
iajs-2380	140	13	distributed	distribute	VERB
iajs-2380	140	14	and	and	CCONJ
iajs-2380	140	15	boundary	boundary	ADJ
iajs-2380	140	16	controls	control	NOUN
iajs-2380	140	17	.	.	PUNCT
iajs-2380	141	1	nonlinear	nonlinear	PROPN
iajs-2380	141	2	analysis.2005	analysis.2005	PROPN
iajs-2380	141	3	,	,	PUNCT
iajs-2380	141	4	63	63	NUM
iajs-2380	141	5	,	,	PUNCT
iajs-2380	141	6	5	5	NUM
iajs-2380	141	7	-	-	SYM
iajs-2380	141	8	7	7	NUM
iajs-2380	141	9	,	,	PUNCT
iajs-2380	141	10	e1367	e1367	NOUN
iajs-2380	141	11	-	-	PUNCT
iajs-2380	141	12	e1376	e1376	PROPN
iajs-2380	141	13	.	.	PUNCT
iajs-2380	142	1	https://doi.org/10.1016/j.na.2005.02.009	https://doi.org/10.1016/j.na.2005.02.009	PROPN
iajs-2380	142	2	.	.	PUNCT
iajs-2380	143	1	11	11	NUM
iajs-2380	143	2	.	.	PUNCT
iajs-2380	144	1	al	al	PROPN
iajs-2380	144	2	-	-	PUNCT
iajs-2380	144	3	hawasy	hawasy	PROPN
iajs-2380	144	4	,	,	PUNCT
iajs-2380	144	5	j.	j.	PROPN
iajs-2380	144	6	the	the	DET
iajs-2380	144	7	continuous	continuous	ADJ
iajs-2380	144	8	classical	classical	ADJ
iajs-2380	144	9	optimal	optimal	ADJ
iajs-2380	144	10	control	control	NOUN
iajs-2380	144	11	of	of	ADP
iajs-2380	144	12	a	a	DET
iajs-2380	144	13	couple	couple	NOUN
iajs-2380	144	14	nonlinear	nonlinear	ADJ
iajs-2380	144	15	hyperbolic	hyperbolic	ADJ
iajs-2380	144	16	partial	partial	ADJ
iajs-2380	144	17	differential	differential	NOUN
iajs-2380	144	18	equations	equation	NOUN
iajs-2380	144	19	with	with	ADP
iajs-2380	144	20	equality	equality	NOUN
iajs-2380	144	21	and	and	CCONJ
iajs-2380	144	22	inequality	inequality	NOUN
iajs-2380	144	23	constraints	constraint	NOUN
iajs-2380	144	24	.	.	PUNCT
iajs-2380	145	1	iraqi	iraqi	ADJ
iajs-2380	145	2	journal	journal	NOUN
iajs-2380	145	3	of	of	ADP
iajs-2380	145	4	science.2016	science.2016	PROPN
iajs-2380	145	5	,	,	PUNCT
iajs-2380	145	6	57	57	NUM
iajs-2380	145	7	,	,	PUNCT
iajs-2380	145	8	2c	2c	NUM
iajs-2380	145	9	,	,	PUNCT
iajs-2380	145	10	1528	1528	NUM
iajs-2380	145	11	-	-	SYM
iajs-2380	145	12	1538	1538	NUM
iajs-2380	145	13	.	.	PUNCT
iajs-2380	146	1	https://doi.org/10.1109/tase.2017.2664061	https://doi.org/10.1109/tase.2017.2664061	PROPN
iajs-2380	146	2	https://hal.inria.fr/hal-01068831	https://hal.inria.fr/hal-01068831	ADP
iajs-2380	146	3	https://doi.org/10.1016/j.na.2005.02.009	https://doi.org/10.1016/j.na.2005.02.009	PROPN
iajs-2380	146	4	313	313	NUM
iajs-2380	146	5	ibn	ibn	PROPN
iajs-2380	146	6	al	al	PROPN
iajs-2380	146	7	-	-	PUNCT
iajs-2380	146	8	haitham	haitham	PROPN
iajs-2380	146	9	jour	jour	X
iajs-2380	146	10	.	.	PROPN
iajs-2380	147	1	for	for	ADP
iajs-2380	147	2	pure	pure	ADJ
iajs-2380	147	3	&	&	CCONJ
iajs-2380	147	4	appl	appl	PROPN
iajs-2380	147	5	.	.	PUNCT
iajs-2380	148	1	sci	sci	PROPN
iajs-2380	148	2	.	.	PROPN
iajs-2380	149	1	33	33	NUM
iajs-2380	149	2	(	(	PUNCT
iajs-2380	149	3	1	1	NUM
iajs-2380	149	4	)	)	PUNCT
iajs-2380	149	5	2020	2020	NUM
iajs-2380	149	6	12	12	NUM
iajs-2380	149	7	.	.	PUNCT
iajs-2380	150	1	al	al	PROPN
iajs-2380	150	2	-	-	PUNCT
iajs-2380	150	3	hawasy	hawasy	PROPN
iajs-2380	150	4	,	,	PUNCT
iajs-2380	150	5	j.	j.	PROPN
iajs-2380	150	6	;	;	PUNCT
iajs-2380	150	7	kadhem	kadhem	PROPN
iajs-2380	150	8	,	,	PUNCT
iajs-2380	150	9	g.m	g.m	PROPN
iajs-2380	150	10	.	.	PUNCT
iajs-2380	151	1	the	the	DET
iajs-2380	151	2	continuous	continuous	ADJ
iajs-2380	151	3	classical	classical	ADJ
iajs-2380	151	4	optimal	optimal	ADJ
iajs-2380	151	5	control	control	NOUN
iajs-2380	151	6	for	for	ADP
iajs-2380	151	7	a	a	DET
iajs-2380	151	8	coupled	couple	VERB
iajs-2380	151	9	nonlinear	nonlinear	ADJ
iajs-2380	151	10	parabolic	parabolic	ADJ
iajs-2380	151	11	partial	partial	ADJ
iajs-2380	151	12	differential	differential	NOUN
iajs-2380	151	13	equations	equation	NOUN
iajs-2380	151	14	with	with	ADP
iajs-2380	151	15	equality	equality	NOUN
iajs-2380	151	16	and	and	CCONJ
iajs-2380	151	17	inequality	inequality	NOUN
iajs-2380	151	18	constraints	constraint	NOUN
iajs-2380	151	19	,	,	PUNCT
iajs-2380	151	20	journal	journal	NOUN
iajs-2380	151	21	of	of	ADP
iajs-2380	151	22	al	al	PROPN
iajs-2380	151	23	-	-	PUNCT
iajs-2380	151	24	nahrain	nahrain	PROPN
iajs-2380	151	25	university	university	NOUN
iajs-2380	151	26	science.2016	science.2016	PROPN
iajs-2380	151	27	,	,	PUNCT
iajs-2380	151	28	19	19	NUM
iajs-2380	151	29	,	,	PUNCT
iajs-2380	151	30	1	1	NUM
iajs-2380	151	31	,	,	PUNCT
iajs-2380	151	32	173	173	NUM
iajs-2380	151	33	-	-	SYM
iajs-2380	151	34	186	186	NUM
iajs-2380	151	35	.	.	PUNCT
iajs-2380	151	36	13	13	NUM
iajs-2380	151	37	.	.	PUNCT
iajs-2380	152	1	al	al	PROPN
iajs-2380	152	2	-	-	PUNCT
iajs-2380	152	3	hawasy	hawasy	PROPN
iajs-2380	152	4	,	,	PUNCT
iajs-2380	152	5	j.	j.	PROPN
iajs-2380	152	6	;	;	PUNCT
iajs-2380	152	7	naeif	naeif	NOUN
iajs-2380	152	8	,	,	PUNCT
iajs-2380	152	9	a.a	a.a	PROPN
iajs-2380	152	10	.	.	PROPN
iajs-2380	152	11	the	the	DET
iajs-2380	152	12	continuous	continuous	ADJ
iajs-2380	152	13	classical	classical	ADJ
iajs-2380	152	14	boundary	boundary	ADJ
iajs-2380	152	15	optimal	optimal	ADJ
iajs-2380	152	16	control	control	NOUN
iajs-2380	152	17	of	of	ADP
iajs-2380	152	18	a	a	DET
iajs-2380	152	19	couple	couple	NOUN
iajs-2380	152	20	linear	linear	NOUN
iajs-2380	152	21	of	of	ADP
iajs-2380	152	22	parabolic	parabolic	ADJ
iajs-2380	152	23	partial	partial	ADJ
iajs-2380	152	24	differential	differential	NOUN
iajs-2380	152	25	equations	equation	NOUN
iajs-2380	152	26	.	.	PUNCT
iajs-2380	153	1	al	al	PROPN
iajs-2380	153	2	-	-	PUNCT
iajs-2380	153	3	mustansiriyah	mustansiriyah	PROPN
iajs-2380	153	4	journal	journal	NOUN
iajs-2380	153	5	of	of	ADP
iajs-2380	153	6	science.2018	science.2018	PROPN
iajs-2380	153	7	,	,	PUNCT
iajs-2380	153	8	29	29	NUM
iajs-2380	153	9	,	,	PUNCT
iajs-2380	153	10	1	1	NUM
iajs-2380	153	11	,	,	PUNCT
iajs-2380	153	12	118	118	NUM
iajs-2380	153	13	-	-	SYM
iajs-2380	153	14	126	126	NUM
iajs-2380	153	15	,	,	PUNCT
iajs-2380	153	16	doi	doi	NOUN
iajs-2380	153	17	:	:	PUNCT
iajs-2380	153	18	http://doi.org/10.23851/mjs.v29i1.159	http://doi.org/10.23851/mjs.v29i1.159	PROPN
iajs-2380	153	19	.	.	PROPN
iajs-2380	153	20	14	14	NUM
iajs-2380	153	21	.	.	PUNCT
iajs-2380	154	1	al	al	PROPN
iajs-2380	154	2	-	-	PUNCT
iajs-2380	154	3	rawdanee	rawdanee	NOUN
iajs-2380	154	4	,	,	PUNCT
iajs-2380	154	5	e.h.m	e.h.m	ADJ
iajs-2380	154	6	.	.	PUNCT
iajs-2380	155	1	the	the	DET
iajs-2380	155	2	continuous	continuous	ADJ
iajs-2380	155	3	classical	classical	ADJ
iajs-2380	155	4	optimal	optimal	ADJ
iajs-2380	155	5	control	control	NOUN
iajs-2380	155	6	problem	problem	NOUN
iajs-2380	155	7	of	of	ADP
iajs-2380	155	8	a	a	DET
iajs-2380	155	9	nonlinear	nonlinear	ADJ
iajs-2380	155	10	partial	partial	ADJ
iajs-2380	155	11	differential	differential	ADJ
iajs-2380	155	12	equations	equation	NOUN
iajs-2380	155	13	of	of	ADP
iajs-2380	155	14	elliptic	elliptic	ADJ
iajs-2380	155	15	type	type	NOUN
iajs-2380	155	16	.	.	PUNCT
iajs-2380	156	1	m.sc	m.sc	PROPN
iajs-2380	156	2	.	.	PUNCT
iajs-2380	157	1	thesis	thesis	NOUN
iajs-2380	157	2	,	,	PUNCT
iajs-2380	157	3	al	al	PROPN
iajs-2380	157	4	-	-	PUNCT
iajs-2380	157	5	mustansiriyah	mustansiriyah	PROPN
iajs-2380	157	6	university	university	NOUN
iajs-2380	157	7	,	,	PUNCT
iajs-2380	157	8	2015	2015	NUM
iajs-2380	157	9	.	.	PUNCT
iajs-2380	158	1	15	15	NUM
iajs-2380	158	2	.	.	PUNCT
iajs-2380	159	1	vexler	vexler	PROPN
iajs-2380	159	2	,	,	PUNCT
iajs-2380	159	3	b.	b.	PROPN
iajs-2380	159	4	finite	finite	PROPN
iajs-2380	159	5	element	element	PROPN
iajs-2380	159	6	approximation	approximation	NOUN
iajs-2380	159	7	of	of	ADP
iajs-2380	159	8	elliptic	elliptic	ADJ
iajs-2380	159	9	dirichlet	dirichlet	PROPN
iajs-2380	159	10	optimal	optimal	ADJ
iajs-2380	159	11	control	control	NOUN
iajs-2380	159	12	problems	problem	NOUN
iajs-2380	159	13	.	.	PUNCT
iajs-2380	160	1	numer	numer	PROPN
iajs-2380	160	2	.	.	PUNCT
iajs-2380	161	1	funct	funct	PROPN
iajs-2380	161	2	.	.	PUNCT
iajs-2380	162	1	anal	anal	PROPN
iajs-2380	162	2	.	.	PUNCT
iajs-2380	163	1	optim.2007	optim.2007	ADJ
iajs-2380	163	2	,	,	PUNCT
iajs-2380	163	3	28	28	NUM
iajs-2380	163	4	,	,	PUNCT
iajs-2380	163	5	7	7	NUM
iajs-2380	163	6	-	-	SYM
iajs-2380	163	7	8	8	NUM
iajs-2380	163	8	,	,	PUNCT
iajs-2380	163	9	957	957	NUM
iajs-2380	163	10	-	-	SYM
iajs-2380	163	11	973	973	NUM
iajs-2380	163	12	,	,	PUNCT
iajs-2380	163	13	doi	doi	NOUN
iajs-2380	163	14	:	:	PUNCT
iajs-2380	163	15	10.1080/01630560701493305	10.1080/01630560701493305	NUM
iajs-2380	163	16	.	.	PROPN
iajs-2380	164	1	16	16	NUM
iajs-2380	164	2	.	.	PUNCT
iajs-2380	165	1	al	al	PROPN
iajs-2380	165	2	-	-	PUNCT
iajs-2380	165	3	hawasy	hawasy	PROPN
iajs-2380	165	4	,	,	PUNCT
iajs-2380	165	5	j.a.a	j.a.a	PROPN
iajs-2380	165	6	.	.	PUNCT
iajs-2380	165	7	;	;	PUNCT
iajs-2380	166	1	al	al	PROPN
iajs-2380	166	2	-	-	PUNCT
iajs-2380	166	3	qaisi	qaisi	PROPN
iajs-2380	166	4	,	,	PUNCT
iajs-2380	166	5	s.j.m	s.j.m	NOUN
iajs-2380	166	6	.	.	PUNCT
iajs-2380	167	1	the	the	DET
iajs-2380	167	2	continuous	continuous	ADJ
iajs-2380	167	3	classical	classical	ADJ
iajs-2380	167	4	optimal	optimal	ADJ
iajs-2380	167	5	boundary	boundary	ADJ
iajs-2380	167	6	control	control	NOUN
iajs-2380	167	7	of	of	ADP
iajs-2380	167	8	a	a	DET
iajs-2380	167	9	couple	couple	NOUN
iajs-2380	167	10	linear	linear	NOUN
iajs-2380	167	11	elliptic	elliptic	ADJ
iajs-2380	167	12	partial	partial	ADJ
iajs-2380	167	13	differential	differential	NOUN
iajs-2380	167	14	equations	equation	NOUN
iajs-2380	167	15	.	.	PUNCT
iajs-2380	168	1	al	al	PROPN
iajs-2380	168	2	-	-	PUNCT
iajs-2380	168	3	nahrain	nahrain	PROPN
iajs-2380	168	4	journal	journal	NOUN
iajs-2380	168	5	of	of	ADP
iajs-2380	168	6	science.2018	science.2018	PROPN
iajs-2380	168	7	,	,	PUNCT
iajs-2380	168	8	1	1	NUM
iajs-2380	168	9	,	,	PUNCT
iajs-2380	168	10	137	137	NUM
iajs-2380	168	11	-	-	SYM
iajs-2380	168	12	142	142	NUM
iajs-2380	168	13	.	.	PUNCT
iajs-2380	169	1	17	17	NUM
iajs-2380	169	2	.	.	PUNCT
iajs-2380	170	1	bacopoulos	bacopoulo	NOUN
iajs-2380	170	2	,	,	PUNCT
iajs-2380	170	3	a.	a.	NOUN
iajs-2380	170	4	;	;	PUNCT
iajs-2380	170	5	chryssoverghi	chryssoverghi	PROPN
iajs-2380	170	6	,	,	PUNCT
iajs-2380	170	7	i.	i.	PROPN
iajs-2380	170	8	numerical	numerical	PROPN
iajs-2380	170	9	solutions	solution	NOUN
iajs-2380	170	10	of	of	ADP
iajs-2380	170	11	partial	partial	ADJ
iajs-2380	170	12	differential	differential	ADJ
iajs-2380	170	13	equations	equation	NOUN
iajs-2380	170	14	by	by	ADP
iajs-2380	170	15	finite	finite	ADJ
iajs-2380	170	16	elements	element	NOUN
iajs-2380	170	17	methods	method	NOUN
iajs-2380	170	18	.	.	PUNCT
iajs-2380	171	1	symeon	symeon	NOUN
iajs-2380	171	2	publishing	publishing	PROPN
iajs-2380	171	3	co	co	NOUN
iajs-2380	171	4	athens	athens	PROPN
iajs-2380	171	5	,	,	PUNCT
iajs-2380	171	6	2003	2003	NUM
iajs-2380	171	7	.	.	PUNCT