id	sid	tid	token	lemma	pos
cana-325	1	1	communications	communication	NOUN
cana-325	1	2	on	on	ADP
cana-325	1	3	applied	apply	VERB
cana-325	1	4	nonlinear	nonlinear	ADJ
cana-325	1	5	analysis	analysis	NOUN
cana-325	1	6	issn	issn	NOUN
cana-325	1	7	:	:	PUNCT
cana-325	1	8	1074	1074	NUM
cana-325	1	9	-	-	PUNCT
cana-325	1	10	133x	133x	NUM
cana-325	1	11	vol	vol	NOUN
cana-325	1	12	30	30	NUM
cana-325	1	13	no	no	NOUN
cana-325	1	14	.	.	NOUN
cana-325	1	15	4	4	NUM
cana-325	1	16	(	(	PUNCT
cana-325	1	17	2023	2023	NUM
cana-325	1	18	)	)	PUNCT
cana-325	2	1	166	166	NUM
cana-325	2	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	2	3	steady	steady	ADJ
cana-325	2	4	state	state	NOUN
cana-325	2	5	dispersion	dispersion	NOUN
cana-325	2	6	of	of	ADP
cana-325	2	7	non	non	ADJ
cana-325	2	8	-	-	ADJ
cana-325	2	9	buoyant	buoyant	ADJ
cana-325	2	10	air	air	NOUN
cana-325	2	11	pollutants	pollutant	NOUN
cana-325	2	12	with	with	ADP
cana-325	2	13	variable	variable	ADJ
cana-325	2	14	wind	wind	NOUN
cana-325	2	15	profile	profile	NOUN
cana-325	2	16	and	and	CCONJ
cana-325	2	17	removal	removal	NOUN
cana-325	2	18	mechanism	mechanism	NOUN
cana-325	2	19	prem	prem	PROPN
cana-325	2	20	sagar	sagar	PROPN
cana-325	2	21	bhandari1	bhandari1	PROPN
cana-325	2	22	,	,	PUNCT
cana-325	2	23	shweta	shweta	PROPN
cana-325	2	24	srivastava2	srivastava2	PROPN
cana-325	2	25	,	,	PUNCT
cana-325	2	26	manju	manju	PROPN
cana-325	2	27	agarwal3	agarwal3	PROPN
cana-325	2	28	,	,	PUNCT
cana-325	2	29	vijai	vijai	NOUN
cana-325	2	30	shanker	shanker	PROPN
cana-325	2	31	verma4	verma4	PROPN
cana-325	2	32	*	*	PROPN
cana-325	2	33	1	1	NUM
cana-325	2	34	department	department	NOUN
cana-325	2	35	of	of	ADP
cana-325	2	36	mathematics	mathematic	NOUN
cana-325	2	37	,	,	PUNCT
cana-325	2	38	birendra	birendra	PROPN
cana-325	2	39	multiple	multiple	ADJ
cana-325	2	40	campus	campus	PROPN
cana-325	2	41	,	,	PUNCT
cana-325	2	42	tribhuvan	tribhuvan	PROPN
cana-325	2	43	university	university	PROPN
cana-325	2	44	,	,	PUNCT
cana-325	2	45	nepal	nepal	NOUN
cana-325	2	46	2department	2department	NUM
cana-325	2	47	of	of	ADP
cana-325	2	48	mathematics	mathematic	NOUN
cana-325	2	49	,	,	PUNCT
cana-325	2	50	i	i	PRON
cana-325	2	51	t	t	PROPN
cana-325	2	52	college	college	PROPN
cana-325	2	53	lucknow	lucknow	PROPN
cana-325	2	54	,	,	PUNCT
cana-325	2	55	india	india	PROPN
cana-325	2	56	3department	3department	PROPN
cana-325	2	57	of	of	ADP
cana-325	2	58	mathematics	mathematic	NOUN
cana-325	2	59	and	and	CCONJ
cana-325	2	60	astronomy	astronomy	NOUN
cana-325	2	61	,	,	PUNCT
cana-325	2	62	lucknow	lucknow	PROPN
cana-325	2	63	university	university	PROPN
cana-325	2	64	,	,	PUNCT
cana-325	2	65	lucknow	lucknow	PROPN
cana-325	2	66	,	,	PUNCT
cana-325	2	67	india	india	PROPN
cana-325	2	68	4	4	NUM
cana-325	2	69	department	department	NOUN
cana-325	2	70	of	of	ADP
cana-325	2	71	mathematics	mathematic	NOUN
cana-325	2	72	and	and	CCONJ
cana-325	2	73	statistics	statistic	NOUN
cana-325	2	74	,	,	PUNCT
cana-325	2	75	deen	deen	PROPN
cana-325	2	76	dayal	dayal	PROPN
cana-325	2	77	upadhyaya	upadhyaya	PROPN
cana-325	2	78	gorakhpur	gorakhpur	PROPN
cana-325	2	79	university	university	PROPN
cana-325	2	80	,	,	PUNCT
cana-325	2	81	gorakhpur	gorakhpur	PROPN
cana-325	2	82	,	,	PUNCT
cana-325	2	83	india	india	PROPN
cana-325	2	84	1premsagar61075@gmail.com	1premsagar61075@gmail.com	PROPN
cana-325	2	85	,	,	PUNCT
cana-325	2	86	2	2	NUM
cana-325	2	87	shwetasrivastava791@gmail.com	shwetasrivastava791@gmail.com	NUM
cana-325	2	88	,	,	PUNCT
cana-325	2	89	3manjuak@yahoo.com	3manjuak@yahoo.com	X
cana-325	2	90	*	*	PUNCT
cana-325	2	91	correspondence	correspondence	NOUN
cana-325	2	92	author	author	NOUN
cana-325	2	93	:	:	PUNCT
cana-325	2	94	vijai	vijai	PROPN
cana-325	2	95	shanker	shanker	PROPN
cana-325	2	96	verma4	verma4	PROPN
cana-325	2	97	,	,	PUNCT
cana-325	2	98	email	email	NOUN
cana-325	2	99	:	:	PUNCT
cana-325	2	100	drvsverma01@gmail.com	drvsverma01@gmail.com	PROPN
cana-325	2	101	article	article	NOUN
cana-325	2	102	history	history	NOUN
cana-325	2	103	:	:	PUNCT
cana-325	2	104	received	receive	VERB
cana-325	2	105	:	:	PUNCT
cana-325	2	106	30	30	NUM
cana-325	2	107	-	-	SYM
cana-325	2	108	08	08	NUM
cana-325	2	109	-	-	PUNCT
cana-325	2	110	2023	2023	NUM
cana-325	2	111	revised	revise	VERB
cana-325	2	112	:	:	PUNCT
cana-325	2	113	20	20	NUM
cana-325	2	114	-	-	SYM
cana-325	2	115	10	10	NUM
cana-325	2	116	-	-	PUNCT
cana-325	2	117	2023	2023	NUM
cana-325	2	118	accepted	accept	VERB
cana-325	2	119	:	:	PUNCT
cana-325	2	120	05	05	NUM
cana-325	2	121	-	-	SYM
cana-325	2	122	11	11	NUM
cana-325	2	123	-	-	SYM
cana-325	2	124	2023	2023	NUM
cana-325	2	125	abstract	abstract	NOUN
cana-325	2	126	:	:	PUNCT
cana-325	2	127	in	in	ADP
cana-325	2	128	this	this	DET
cana-325	2	129	paper	paper	NOUN
cana-325	2	130	,	,	PUNCT
cana-325	2	131	a	a	DET
cana-325	2	132	mathematical	mathematical	ADJ
cana-325	2	133	model	model	NOUN
cana-325	2	134	is	be	AUX
cana-325	2	135	proposed	propose	VERB
cana-325	2	136	to	to	PART
cana-325	2	137	study	study	VERB
cana-325	2	138	the	the	DET
cana-325	2	139	steady	steady	ADJ
cana-325	2	140	state	state	NOUN
cana-325	2	141	dispersion	dispersion	NOUN
cana-325	2	142	of	of	ADP
cana-325	2	143	nonbuoyant	nonbuoyant	ADJ
cana-325	2	144	air	air	NOUN
cana-325	2	145	pollutants	pollutant	NOUN
cana-325	2	146	emitted	emit	VERB
cana-325	2	147	from	from	ADP
cana-325	2	148	a	a	DET
cana-325	2	149	continuous	continuous	ADJ
cana-325	2	150	point	point	NOUN
cana-325	2	151	source	source	NOUN
cana-325	2	152	.	.	PUNCT
cana-325	3	1	the	the	DET
cana-325	3	2	effect	effect	NOUN
cana-325	3	3	of	of	ADP
cana-325	3	4	wind	wind	NOUN
cana-325	3	5	velocity	velocity	NOUN
cana-325	3	6	is	be	AUX
cana-325	3	7	taken	take	VERB
cana-325	3	8	in	in	ADP
cana-325	3	9	the	the	DET
cana-325	3	10	form	form	NOUN
cana-325	3	11	of	of	ADP
cana-325	3	12	a	a	DET
cana-325	3	13	power	power	NOUN
cana-325	3	14	function	function	NOUN
cana-325	3	15	that	that	PRON
cana-325	3	16	changes	change	VERB
cana-325	3	17	with	with	ADP
cana-325	3	18	downwind	downwind	NOUN
cana-325	3	19	and	and	CCONJ
cana-325	3	20	crosswind	crosswind	NOUN
cana-325	3	21	distances	distance	NOUN
cana-325	3	22	.	.	PUNCT
cana-325	4	1	the	the	DET
cana-325	4	2	concept	concept	NOUN
cana-325	4	3	of	of	ADP
cana-325	4	4	removal	removal	NOUN
cana-325	4	5	mechanism	mechanism	NOUN
cana-325	4	6	is	be	AUX
cana-325	4	7	also	also	ADV
cana-325	4	8	incorporated	incorporate	VERB
cana-325	4	9	in	in	ADP
cana-325	4	10	the	the	DET
cana-325	4	11	model	model	NOUN
cana-325	4	12	.	.	PUNCT
cana-325	5	1	the	the	DET
cana-325	5	2	concentration	concentration	NOUN
cana-325	5	3	profile	profile	NOUN
cana-325	5	4	of	of	ADP
cana-325	5	5	non	non	ADJ
cana-325	5	6	-	-	ADJ
cana-325	5	7	buoyant	buoyant	ADJ
cana-325	5	8	air	air	NOUN
cana-325	5	9	pollutants	pollutant	NOUN
cana-325	5	10	is	be	AUX
cana-325	5	11	computed	compute	VERB
cana-325	5	12	and	and	CCONJ
cana-325	5	13	variations	variation	NOUN
cana-325	5	14	of	of	ADP
cana-325	5	15	the	the	DET
cana-325	5	16	downwind	downwind	NOUN
cana-325	5	17	and	and	CCONJ
cana-325	5	18	crosswind	crosswind	NOUN
cana-325	5	19	distances	distance	NOUN
cana-325	5	20	for	for	ADP
cana-325	5	21	a	a	DET
cana-325	5	22	range	range	NOUN
cana-325	5	23	of	of	ADP
cana-325	5	24	parametric	parametric	ADJ
cana-325	5	25	values	value	NOUN
cana-325	5	26	are	be	AUX
cana-325	5	27	analyzed	analyze	VERB
cana-325	5	28	.	.	PUNCT
cana-325	6	1	the	the	DET
cana-325	6	2	results	result	NOUN
cana-325	6	3	are	be	AUX
cana-325	6	4	explained	explain	VERB
cana-325	6	5	graphically	graphically	ADV
cana-325	6	6	.	.	PUNCT
cana-325	7	1	it	it	PRON
cana-325	7	2	is	be	AUX
cana-325	7	3	found	find	VERB
cana-325	7	4	that	that	SCONJ
cana-325	7	5	the	the	DET
cana-325	7	6	curves	curve	NOUN
cana-325	7	7	drawn	draw	VERB
cana-325	7	8	demonstrate	demonstrate	VERB
cana-325	7	9	the	the	DET
cana-325	7	10	consistent	consistent	ADJ
cana-325	7	11	behavior	behavior	NOUN
cana-325	7	12	with	with	ADP
cana-325	7	13	different	different	ADJ
cana-325	7	14	vertical	vertical	ADJ
cana-325	7	15	distances	distance	NOUN
cana-325	7	16	for	for	ADP
cana-325	7	17	0	0	NUM
cana-325	7	18	≤	≤	NUM
cana-325	8	1	𝑥	𝑥	PRON
cana-325	8	2	≤	≤	NUM
cana-325	8	3	1	1	NUM
cana-325	8	4	,	,	PUNCT
cana-325	8	5	while	while	SCONJ
cana-325	8	6	keeping	keep	VERB
cana-325	8	7	the	the	DET
cana-325	8	8	crosswind	crosswind	NOUN
cana-325	8	9	distance	distance	NOUN
cana-325	8	10	constant	constant	ADJ
cana-325	8	11	.	.	PUNCT
cana-325	9	1	also	also	ADV
cana-325	9	2	,	,	PUNCT
cana-325	9	3	the	the	DET
cana-325	9	4	downwind	downwind	ADJ
cana-325	9	5	distance	distance	NOUN
cana-325	9	6	is	be	AUX
cana-325	9	7	increased	increase	VERB
cana-325	9	8	with	with	ADP
cana-325	9	9	a	a	DET
cana-325	9	10	consistent	consistent	ADJ
cana-325	9	11	decrease	decrease	NOUN
cana-325	9	12	in	in	ADP
cana-325	9	13	the	the	DET
cana-325	9	14	concentration	concentration	NOUN
cana-325	9	15	profile	profile	NOUN
cana-325	9	16	.	.	PUNCT
cana-325	10	1	the	the	DET
cana-325	10	2	curves	curve	NOUN
cana-325	10	3	with	with	ADP
cana-325	10	4	different	different	ADJ
cana-325	10	5	crosswind	crosswind	NOUN
cana-325	10	6	distance	distance	NOUN
cana-325	10	7	values	value	NOUN
cana-325	10	8	and	and	CCONJ
cana-325	10	9	a	a	DET
cana-325	10	10	constant	constant	ADJ
cana-325	10	11	vertical	vertical	ADJ
cana-325	10	12	distance	distance	NOUN
cana-325	10	13	also	also	ADV
cana-325	10	14	show	show	VERB
cana-325	10	15	uniform	uniform	ADJ
cana-325	10	16	behavior	behavior	NOUN
cana-325	10	17	for	for	ADP
cana-325	10	18	0	0	NUM
cana-325	10	19	≤	≤	NUM
cana-325	10	20	𝑥	𝑥	DET
cana-325	10	21	≤	≤	NUM
cana-325	10	22	1	1	NUM
cana-325	10	23	.	.	PUNCT
cana-325	10	24	concentration	concentration	NOUN
cana-325	10	25	profiles	profile	NOUN
cana-325	10	26	have	have	AUX
cana-325	10	27	been	be	AUX
cana-325	10	28	found	find	VERB
cana-325	10	29	to	to	PART
cana-325	10	30	be	be	AUX
cana-325	10	31	symmetric	symmetric	ADJ
cana-325	10	32	for	for	ADP
cana-325	10	33	−1	−1	NOUN
cana-325	10	34	≤	≤	NOUN
cana-325	11	1	𝑦	𝑦	NOUN
cana-325	11	2	≤	≤	NOUN
cana-325	11	3	1	1	NUM
cana-325	11	4	with	with	ADP
cana-325	11	5	varying	vary	VERB
cana-325	11	6	downwind	downwind	ADJ
cana-325	11	7	distance	distance	NOUN
cana-325	11	8	values	value	NOUN
cana-325	11	9	while	while	SCONJ
cana-325	11	10	maintaining	maintain	VERB
cana-325	11	11	a	a	DET
cana-325	11	12	constant	constant	ADJ
cana-325	11	13	vertical	vertical	ADJ
cana-325	11	14	distance	distance	NOUN
cana-325	11	15	value	value	NOUN
cana-325	11	16	.	.	PUNCT
cana-325	12	1	keywords	keyword	NOUN
cana-325	12	2	:	:	PUNCT
cana-325	12	3	mathematical	mathematical	ADJ
cana-325	12	4	model	model	NOUN
cana-325	12	5	,	,	PUNCT
cana-325	12	6	air	air	NOUN
cana-325	12	7	pollutants	pollutant	NOUN
cana-325	12	8	,	,	PUNCT
cana-325	12	9	removal	removal	NOUN
cana-325	12	10	mechanism	mechanism	NOUN
cana-325	12	11	,	,	PUNCT
cana-325	12	12	variable	variable	ADJ
cana-325	12	13	wind	wind	NOUN
cana-325	12	14	profile	profile	NOUN
cana-325	12	15	.	.	PUNCT
cana-325	13	1	1	1	X
cana-325	13	2	.	.	X
cana-325	13	3	introduction	introduction	NOUN
cana-325	13	4	the	the	DET
cana-325	13	5	pollution	pollution	NOUN
cana-325	13	6	caused	cause	VERB
cana-325	13	7	by	by	ADP
cana-325	13	8	air	air	NOUN
cana-325	13	9	pollutants	pollutant	NOUN
cana-325	13	10	is	be	AUX
cana-325	13	11	known	know	VERB
cana-325	13	12	as	as	ADP
cana-325	13	13	air	air	NOUN
cana-325	13	14	-	-	PUNCT
cana-325	13	15	pollution	pollution	NOUN
cana-325	14	1	[	[	X
cana-325	14	2	20	20	NUM
cana-325	14	3	]	]	SYM
cana-325	14	4	.	.	PUNCT
cana-325	15	1	air	air	NOUN
cana-325	15	2	pollution	pollution	NOUN
cana-325	15	3	started	start	VERB
cana-325	15	4	from	from	ADP
cana-325	15	5	the	the	DET
cana-325	15	6	moment	moment	NOUN
cana-325	15	7	when	when	SCONJ
cana-325	15	8	primitive	primitive	ADJ
cana-325	15	9	man	man	NOUN
cana-325	15	10	knew	know	VERB
cana-325	15	11	to	to	PART
cana-325	15	12	make	make	VERB
cana-325	15	13	fire	fire	NOUN
cana-325	15	14	,	,	PUNCT
cana-325	15	15	since	since	SCONJ
cana-325	15	16	then	then	ADV
cana-325	15	17	,	,	PUNCT
cana-325	15	18	it	it	PRON
cana-325	15	19	has	have	AUX
cana-325	15	20	increased	increase	VERB
cana-325	15	21	and	and	CCONJ
cana-325	15	22	is	be	AUX
cana-325	15	23	still	still	ADV
cana-325	15	24	increasing	increase	VERB
cana-325	15	25	every	every	DET
cana-325	15	26	moment	moment	NOUN
cana-325	15	27	due	due	ADP
cana-325	15	28	to	to	ADP
cana-325	15	29	population	population	NOUN
cana-325	15	30	explosions	explosion	NOUN
cana-325	15	31	,	,	PUNCT
cana-325	15	32	rapid	rapid	ADJ
cana-325	15	33	industrialization	industrialization	NOUN
cana-325	15	34	,	,	PUNCT
cana-325	15	35	and	and	CCONJ
cana-325	15	36	urbanization	urbanization	NOUN
cana-325	15	37	.	.	PUNCT
cana-325	16	1	thus	thus	ADV
cana-325	16	2	,	,	PUNCT
cana-325	16	3	there	there	PRON
cana-325	16	4	is	be	VERB
cana-325	16	5	a	a	DET
cana-325	16	6	growing	grow	VERB
cana-325	16	7	concern	concern	NOUN
cana-325	16	8	about	about	ADP
cana-325	16	9	the	the	DET
cana-325	16	10	pollution	pollution	NOUN
cana-325	16	11	of	of	ADP
cana-325	16	12	the	the	DET
cana-325	16	13	atmospheric	atmospheric	ADJ
cana-325	16	14	air	air	NOUN
cana-325	16	15	by	by	ADP
cana-325	16	16	man	man	NOUN
cana-325	16	17	made	make	VERB
cana-325	16	18	activities	activity	NOUN
cana-325	16	19	.	.	PUNCT
cana-325	17	1	many	many	ADJ
cana-325	17	2	of	of	ADP
cana-325	17	3	the	the	DET
cana-325	17	4	gaseous	gaseous	ADJ
cana-325	17	5	pollutants	pollutant	NOUN
cana-325	17	6	emitted	emit	VERB
cana-325	17	7	by	by	ADP
cana-325	17	8	natural	natural	ADJ
cana-325	17	9	activities	activity	NOUN
cana-325	17	10	adversely	adversely	ADV
cana-325	17	11	affect	affect	VERB
cana-325	17	12	the	the	DET
cana-325	17	13	quality	quality	NOUN
cana-325	17	14	of	of	ADP
cana-325	17	15	the	the	DET
cana-325	17	16	air	air	NOUN
cana-325	17	17	,	,	PUNCT
cana-325	17	18	particularly	particularly	ADV
cana-325	17	19	near	near	ADP
cana-325	17	20	dense	dense	ADJ
cana-325	17	21	urban	urban	ADJ
cana-325	17	22	areas	area	NOUN
cana-325	17	23	and	and	CCONJ
cana-325	17	24	near	near	ADP
cana-325	17	25	large	large	ADJ
cana-325	17	26	emission	emission	NOUN
cana-325	17	27	sources	source	NOUN
cana-325	17	28	.	.	PUNCT
cana-325	18	1	the	the	DET
cana-325	18	2	gaseous	gaseous	ADJ
cana-325	18	3	air	air	NOUN
cana-325	18	4	pollutants	pollutant	NOUN
cana-325	18	5	include	include	VERB
cana-325	18	6	carbon	carbon	NOUN
cana-325	18	7	monoxide	monoxide	NOUN
cana-325	18	8	,	,	PUNCT
cana-325	18	9	chlorine	chlorine	NOUN
cana-325	18	10	,	,	PUNCT
cana-325	18	11	halogenated	halogenated	ADJ
cana-325	18	12	solvents	solvent	NOUN
cana-325	18	13	,	,	PUNCT
cana-325	18	14	hydrocarbons	hydrocarbon	NOUN
cana-325	18	15	,	,	PUNCT
cana-325	18	16	hydrogen	hydrogen	NOUN
cana-325	18	17	sulphide	sulphide	NOUN
cana-325	18	18	,	,	PUNCT
cana-325	18	19	nitrous	nitrous	ADJ
cana-325	18	20	oxide	oxide	NOUN
cana-325	18	21	and	and	CCONJ
cana-325	18	22	sulphur	sulphur	NOUN
cana-325	18	23	dioxide	dioxide	NOUN
cana-325	18	24	.	.	PUNCT
cana-325	19	1	air	air	NOUN
cana-325	19	2	pollution	pollution	NOUN
cana-325	19	3	is	be	AUX
cana-325	19	4	normally	normally	ADV
cana-325	19	5	supposed	suppose	VERB
cana-325	19	6	as	as	SCONJ
cana-325	19	7	the	the	DET
cana-325	19	8	dis	dis	PROPN
cana-325	19	9	-	-	PUNCT
cana-325	19	10	equilibrium	equilibrium	NOUN
cana-325	19	11	condition	condition	NOUN
cana-325	19	12	of	of	ADP
cana-325	19	13	air	air	NOUN
cana-325	19	14	caused	cause	VERB
cana-325	19	15	due	due	ADP
cana-325	19	16	to	to	ADP
cana-325	19	17	the	the	DET
cana-325	19	18	introduction	introduction	NOUN
cana-325	19	19	of	of	ADP
cana-325	19	20	foreign	foreign	ADJ
cana-325	19	21	elements	element	NOUN
cana-325	19	22	from	from	ADP
cana-325	19	23	natural	natural	ADJ
cana-325	19	24	and	and	CCONJ
cana-325	19	25	man	man	NOUN
cana-325	19	26	made	make	VERB
cana-325	19	27	sources	source	NOUN
cana-325	19	28	to	to	ADP
cana-325	19	29	the	the	DET
cana-325	19	30	air	air	NOUN
cana-325	19	31	so	so	SCONJ
cana-325	19	32	that	that	SCONJ
cana-325	19	33	it	it	PRON
cana-325	19	34	becomes	become	VERB
cana-325	19	35	injurious	injurious	ADJ
cana-325	19	36	to	to	ADP
cana-325	19	37	biological	biological	ADJ
cana-325	19	38	communities	community	NOUN
cana-325	19	39	.	.	PUNCT
cana-325	20	1	therefore	therefore	ADV
cana-325	20	2	,	,	PUNCT
cana-325	20	3	air	air	NOUN
cana-325	20	4	pollution	pollution	NOUN
cana-325	20	5	may	may	AUX
cana-325	20	6	be	be	AUX
cana-325	20	7	described	describe	VERB
cana-325	20	8	as	as	ADP
cana-325	20	9	the	the	DET
cana-325	20	10	imbalance	imbalance	NOUN
cana-325	20	11	in	in	ADP
cana-325	20	12	quality	quality	NOUN
cana-325	20	13	of	of	ADP
cana-325	20	14	air	air	NOUN
cana-325	20	15	so	so	SCONJ
cana-325	20	16	as	as	SCONJ
cana-325	20	17	to	to	PART
cana-325	20	18	cause	cause	VERB
cana-325	20	19	adverse	adverse	ADJ
cana-325	20	20	effects	effect	NOUN
cana-325	20	21	on	on	ADP
cana-325	20	22	the	the	DET
cana-325	20	23	living	live	VERB
cana-325	20	24	organisms	organism	NOUN
cana-325	20	25	existing	exist	VERB
cana-325	20	26	on	on	ADP
cana-325	20	27	the	the	DET
cana-325	20	28	earth	earth	NOUN
cana-325	20	29	.	.	PUNCT
cana-325	21	1	now	now	ADV
cana-325	21	2	-	-	PUNCT
cana-325	21	3	a	a	DET
cana-325	21	4	-	-	PUNCT
cana-325	21	5	days	days	NOUN
cana-325	21	6	air	air	NOUN
cana-325	21	7	pollution	pollution	NOUN
cana-325	21	8	is	be	AUX
cana-325	21	9	one	one	NUM
cana-325	21	10	of	of	ADP
cana-325	21	11	the	the	DET
cana-325	21	12	biggest	big	ADJ
cana-325	21	13	issues	issue	NOUN
cana-325	21	14	which	which	PRON
cana-325	21	15	affect	affect	VERB
cana-325	21	16	both	both	CCONJ
cana-325	21	17	public	public	ADJ
cana-325	21	18	and	and	CCONJ
cana-325	21	19	individual	individual	ADJ
cana-325	21	20	health	health	NOUN
cana-325	21	21	by	by	ADP
cana-325	21	22	increasing	increase	VERB
cana-325	21	23	morbidity	morbidity	NOUN
cana-325	21	24	and	and	CCONJ
cana-325	21	25	mortality	mortality	NOUN
cana-325	21	26	rates	rate	NOUN
cana-325	21	27	in	in	ADP
cana-325	21	28	addition	addition	NOUN
cana-325	21	29	to	to	ADP
cana-325	21	30	contributing	contribute	VERB
cana-325	21	31	to	to	ADP
cana-325	21	32	climate	climate	NOUN
cana-325	21	33	change	change	NOUN
cana-325	21	34	.	.	PUNCT
cana-325	22	1	human	human	ADJ
cana-325	22	2	health	health	NOUN
cana-325	22	3	is	be	AUX
cana-325	22	4	adversely	adversely	ADV
cana-325	22	5	affected	affect	VERB
cana-325	22	6	by	by	ADP
cana-325	22	7	a	a	DET
cana-325	22	8	wide	wide	ADJ
cana-325	22	9	range	range	NOUN
cana-325	22	10	of	of	ADP
cana-325	22	11	air	air	NOUN
cana-325	22	12	pollutants	pollutant	NOUN
cana-325	22	13	.	.	PUNCT
cana-325	23	1	air	air	NOUN
cana-325	23	2	pollutants	pollutant	NOUN
cana-325	23	3	are	be	AUX
cana-325	23	4	harmful	harmful	ADJ
cana-325	23	5	airborne	airborne	ADJ
cana-325	23	6	communications	communication	NOUN
cana-325	23	7	on	on	ADP
cana-325	23	8	applied	apply	VERB
cana-325	23	9	nonlinear	nonlinear	ADJ
cana-325	23	10	analysis	analysis	NOUN
cana-325	23	11	issn	issn	NOUN
cana-325	23	12	:	:	PUNCT
cana-325	23	13	1074	1074	NUM
cana-325	23	14	-	-	PUNCT
cana-325	23	15	133x	133x	NUM
cana-325	23	16	vol	vol	NOUN
cana-325	23	17	30	30	NUM
cana-325	23	18	no	no	NOUN
cana-325	23	19	.	.	NOUN
cana-325	23	20	4	4	NUM
cana-325	23	21	(	(	PUNCT
cana-325	23	22	2023	2023	NUM
cana-325	23	23	)	)	PUNCT
cana-325	23	24	167	167	NUM
cana-325	23	25	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-325	23	26	substances	substance	NOUN
cana-325	23	27	that	that	PRON
cana-325	23	28	threaten	threaten	VERB
cana-325	23	29	the	the	DET
cana-325	23	30	human	human	ADJ
cana-325	23	31	welfare	welfare	NOUN
cana-325	23	32	,	,	PUNCT
cana-325	23	33	and	and	CCONJ
cana-325	23	34	harm	harm	NOUN
cana-325	23	35	environment	environment	NOUN
cana-325	23	36	.	.	PUNCT
cana-325	24	1	particulate	particulate	NOUN
cana-325	24	2	matter	matter	NOUN
cana-325	24	3	(	(	PUNCT
cana-325	24	4	pm	pm	NOUN
cana-325	24	5	)	)	PUNCT
cana-325	24	6	is	be	AUX
cana-325	24	7	one	one	NUM
cana-325	24	8	of	of	ADP
cana-325	24	9	the	the	DET
cana-325	24	10	air	air	NOUN
cana-325	24	11	pollutants	pollutant	NOUN
cana-325	24	12	which	which	PRON
cana-325	24	13	are	be	AUX
cana-325	24	14	tiny	tiny	ADJ
cana-325	24	15	particles	particle	NOUN
cana-325	24	16	with	with	ADP
cana-325	24	17	a	a	DET
cana-325	24	18	range	range	NOUN
cana-325	24	19	of	of	ADP
cana-325	24	20	diameters	diameter	NOUN
cana-325	24	21	that	that	PRON
cana-325	24	22	are	be	AUX
cana-325	24	23	inhaled	inhale	VERB
cana-325	24	24	into	into	ADP
cana-325	24	25	the	the	DET
cana-325	24	26	human	human	ADJ
cana-325	24	27	respiratory	respiratory	ADJ
cana-325	24	28	system	system	NOUN
cana-325	24	29	and	and	CCONJ
cana-325	24	30	can	can	AUX
cana-325	24	31	cause	cause	VERB
cana-325	24	32	respiratory	respiratory	ADJ
cana-325	24	33	diseases	disease	NOUN
cana-325	24	34	,	,	PUNCT
cana-325	24	35	other	other	ADJ
cana-325	24	36	diseases	disease	NOUN
cana-325	24	37	such	such	ADJ
cana-325	24	38	as	as	ADP
cana-325	24	39	cancer	cancer	NOUN
cana-325	24	40	,	,	PUNCT
cana-325	24	41	and	and	CCONJ
cana-325	24	42	problems	problem	NOUN
cana-325	24	43	with	with	ADP
cana-325	24	44	the	the	DET
cana-325	24	45	reproductive	reproductive	ADJ
cana-325	24	46	,	,	PUNCT
cana-325	24	47	cardiovascular	cardiovascular	ADJ
cana-325	24	48	,	,	PUNCT
cana-325	24	49	and	and	CCONJ
cana-325	24	50	central	central	ADJ
cana-325	24	51	nervous	nervous	ADJ
cana-325	24	52	systems	system	NOUN
cana-325	24	53	are	be	AUX
cana-325	24	54	also	also	ADV
cana-325	24	55	taking	take	VERB
cana-325	24	56	their	their	PRON
cana-325	24	57	exposure	exposure	NOUN
cana-325	24	58	in	in	ADP
cana-325	24	59	human	human	ADJ
cana-325	24	60	life	life	NOUN
cana-325	24	61	.	.	PUNCT
cana-325	25	1	short	short	ADJ
cana-325	25	2	-	-	PUNCT
cana-325	25	3	term	term	NOUN
cana-325	25	4	exposure	exposure	NOUN
cana-325	25	5	to	to	ADP
cana-325	25	6	air	air	NOUN
cana-325	25	7	pollution	pollution	NOUN
cana-325	25	8	is	be	AUX
cana-325	25	9	strongly	strongly	ADV
cana-325	25	10	linked	link	VERB
cana-325	25	11	to	to	ADP
cana-325	25	12	the	the	DET
cana-325	25	13	conditions	condition	NOUN
cana-325	25	14	such	such	ADJ
cana-325	25	15	as	as	ADP
cana-325	25	16	asthma	asthma	NOUN
cana-325	25	17	,	,	PUNCT
cana-325	25	18	respiratory	respiratory	ADJ
cana-325	25	19	disorders	disorder	NOUN
cana-325	25	20	,	,	PUNCT
cana-325	25	21	wheezing	wheezing	NOUN
cana-325	25	22	,	,	PUNCT
cana-325	25	23	coughing	coughing	NOUN
cana-325	25	24	,	,	PUNCT
cana-325	25	25	and	and	CCONJ
cana-325	25	26	high	high	ADJ
cana-325	25	27	hospitalization	hospitalization	NOUN
cana-325	25	28	rates	rate	NOUN
cana-325	25	29	[	[	X
cana-325	25	30	11	11	NUM
cana-325	25	31	]	]	PUNCT
cana-325	25	32	.	.	PUNCT
cana-325	26	1	particulate	particulate	NOUN
cana-325	26	2	and	and	CCONJ
cana-325	26	3	gaseous	gaseous	ADJ
cana-325	26	4	pollutants	pollutant	NOUN
cana-325	26	5	are	be	AUX
cana-325	26	6	two	two	NUM
cana-325	26	7	categories	category	NOUN
cana-325	26	8	of	of	ADP
cana-325	26	9	environmental	environmental	ADJ
cana-325	26	10	pollutants	pollutant	NOUN
cana-325	26	11	.	.	PUNCT
cana-325	27	1	agricultural	agricultural	ADJ
cana-325	27	2	materials	material	NOUN
cana-325	27	3	,	,	PUNCT
cana-325	27	4	chemicals	chemical	NOUN
cana-325	27	5	,	,	PUNCT
cana-325	27	6	lead	lead	NOUN
cana-325	27	7	,	,	PUNCT
cana-325	27	8	spm	spm	PROPN
cana-325	27	9	,	,	PUNCT
cana-325	27	10	rspm	rspm	NOUN
cana-325	27	11	,	,	PUNCT
cana-325	27	12	and	and	CCONJ
cana-325	27	13	other	other	ADJ
cana-325	27	14	materials	material	NOUN
cana-325	27	15	are	be	AUX
cana-325	27	16	examples	example	NOUN
cana-325	27	17	of	of	ADP
cana-325	27	18	particulate	particulate	NOUN
cana-325	27	19	air	air	NOUN
cana-325	27	20	pollutants	pollutant	NOUN
cana-325	27	21	.	.	PUNCT
cana-325	28	1	the	the	DET
cana-325	28	2	six	six	NUM
cana-325	28	3	primary	primary	ADJ
cana-325	28	4	air	air	NOUN
cana-325	28	5	pollutants	pollutant	NOUN
cana-325	28	6	that	that	PRON
cana-325	28	7	the	the	DET
cana-325	28	8	world	world	PROPN
cana-325	28	9	health	health	NOUN
cana-325	28	10	organization	organization	NOUN
cana-325	28	11	(	(	PUNCT
cana-325	28	12	who	who	PRON
cana-325	28	13	)	)	PUNCT
cana-325	28	14	tracks	track	NOUN
cana-325	28	15	are	be	AUX
cana-325	28	16	lead	lead	NOUN
cana-325	28	17	,	,	PUNCT
cana-325	28	18	sulfur	sulfur	NOUN
cana-325	28	19	oxides	oxide	NOUN
cana-325	28	20	,	,	PUNCT
cana-325	28	21	nitrogen	nitrogen	NOUN
cana-325	28	22	oxides	oxide	NOUN
cana-325	28	23	,	,	PUNCT
cana-325	28	24	carbon	carbon	NOUN
cana-325	28	25	monoxide	monoxide	NOUN
cana-325	28	26	,	,	PUNCT
cana-325	28	27	particle	particle	NOUN
cana-325	28	28	pollution	pollution	NOUN
cana-325	28	29	,	,	PUNCT
cana-325	28	30	and	and	CCONJ
cana-325	28	31	ground	ground	NOUN
cana-325	28	32	-	-	PUNCT
cana-325	28	33	level	level	NOUN
cana-325	28	34	ozone	ozone	NOUN
cana-325	28	35	.	.	PUNCT
cana-325	29	1	the	the	DET
cana-325	29	2	effects	effect	NOUN
cana-325	29	3	of	of	ADP
cana-325	29	4	air	air	NOUN
cana-325	29	5	pollution	pollution	NOUN
cana-325	29	6	on	on	ADP
cana-325	29	7	the	the	DET
cana-325	29	8	groundwater	groundwater	NOUN
cana-325	29	9	,	,	PUNCT
cana-325	29	10	soil	soil	NOUN
cana-325	29	11	,	,	PUNCT
cana-325	29	12	and	and	CCONJ
cana-325	29	13	other	other	ADJ
cana-325	29	14	environmental	environmental	ADJ
cana-325	29	15	components	component	NOUN
cana-325	29	16	can	can	AUX
cana-325	29	17	be	be	AUX
cana-325	29	18	disastrous	disastrous	ADJ
cana-325	29	19	.	.	PUNCT
cana-325	30	1	it	it	PRON
cana-325	30	2	poses	pose	VERB
cana-325	30	3	a	a	DET
cana-325	30	4	serious	serious	ADJ
cana-325	30	5	risk	risk	NOUN
cana-325	30	6	to	to	ADP
cana-325	30	7	living	live	VERB
cana-325	30	8	things	thing	NOUN
cana-325	30	9	as	as	ADV
cana-325	30	10	well	well	ADV
cana-325	30	11	.	.	PUNCT
cana-325	31	1	acid	acid	ADJ
cana-325	31	2	rain	rain	NOUN
cana-325	31	3	,	,	PUNCT
cana-325	31	4	global	global	ADJ
cana-325	31	5	warming	warming	NOUN
cana-325	31	6	,	,	PUNCT
cana-325	31	7	greenhouse	greenhouse	NOUN
cana-325	31	8	effect	effect	NOUN
cana-325	31	9	,	,	PUNCT
cana-325	31	10	and	and	CCONJ
cana-325	31	11	climate	climate	NOUN
cana-325	31	12	change	change	NOUN
cana-325	31	13	are	be	AUX
cana-325	31	14	realized	realize	VERB
cana-325	31	15	due	due	ADJ
cana-325	31	16	to	to	ADP
cana-325	31	17	adverse	adverse	ADJ
cana-325	31	18	ecological	ecological	ADJ
cana-325	31	19	effects	effect	NOUN
cana-325	31	20	of	of	ADP
cana-325	31	21	air	air	NOUN
cana-325	31	22	pollution	pollution	NOUN
cana-325	31	23	[	[	X
cana-325	31	24	19	19	NUM
cana-325	31	25	]	]	PUNCT
cana-325	31	26	.	.	PUNCT
cana-325	32	1	a	a	DET
cana-325	32	2	lot	lot	NOUN
cana-325	32	3	of	of	ADP
cana-325	32	4	research	research	NOUN
cana-325	32	5	is	be	AUX
cana-325	32	6	done	do	VERB
cana-325	32	7	on	on	ADP
cana-325	32	8	the	the	DET
cana-325	32	9	intricate	intricate	ADJ
cana-325	32	10	connection	connection	NOUN
cana-325	32	11	between	between	ADP
cana-325	32	12	emission	emission	NOUN
cana-325	32	13	sources	source	NOUN
cana-325	32	14	and	and	CCONJ
cana-325	32	15	air	air	NOUN
cana-325	32	16	quality	quality	NOUN
cana-325	32	17	using	use	VERB
cana-325	32	18	air	air	NOUN
cana-325	32	19	dispersion	dispersion	NOUN
cana-325	32	20	models	model	NOUN
cana-325	32	21	.	.	PUNCT
cana-325	33	1	the	the	DET
cana-325	33	2	analytical	analytical	ADJ
cana-325	33	3	solutions	solution	NOUN
cana-325	33	4	have	have	VERB
cana-325	33	5	multiple	multiple	ADJ
cana-325	33	6	benefits	benefit	NOUN
cana-325	33	7	since	since	SCONJ
cana-325	33	8	each	each	PRON
cana-325	33	9	of	of	ADP
cana-325	33	10	the	the	DET
cana-325	33	11	influencing	influence	VERB
cana-325	33	12	parameters	parameter	NOUN
cana-325	33	13	is	be	AUX
cana-325	33	14	stated	state	VERB
cana-325	33	15	clearly	clearly	ADV
cana-325	33	16	in	in	ADP
cana-325	33	17	closed	closed	ADJ
cana-325	33	18	-	-	PUNCT
cana-325	33	19	form	form	NOUN
cana-325	33	20	mathematics	mathematic	NOUN
cana-325	33	21	.	.	PUNCT
cana-325	34	1	it	it	PRON
cana-325	34	2	is	be	AUX
cana-325	34	3	simple	simple	ADJ
cana-325	34	4	to	to	PART
cana-325	34	5	look	look	VERB
cana-325	34	6	into	into	ADP
cana-325	34	7	how	how	SCONJ
cana-325	34	8	each	each	DET
cana-325	34	9	parameter	parameter	NOUN
cana-325	34	10	affects	affect	VERB
cana-325	34	11	the	the	DET
cana-325	34	12	models	model	NOUN
cana-325	34	13	individually	individually	ADV
cana-325	34	14	.	.	PUNCT
cana-325	35	1	analytical	analytical	ADJ
cana-325	35	2	solutions	solution	NOUN
cana-325	35	3	are	be	AUX
cana-325	35	4	also	also	ADV
cana-325	35	5	helpful	helpful	ADJ
cana-325	35	6	in	in	ADP
cana-325	35	7	evaluating	evaluate	VERB
cana-325	35	8	performance	performance	NOUN
cana-325	35	9	and	and	CCONJ
cana-325	35	10	accuracy	accuracy	NOUN
cana-325	35	11	of	of	ADP
cana-325	35	12	the	the	DET
cana-325	35	13	numerical	numerical	ADJ
cana-325	35	14	models	model	NOUN
cana-325	35	15	[	[	X
cana-325	35	16	10	10	NUM
cana-325	35	17	]	]	PUNCT
cana-325	35	18	.	.	PUNCT
cana-325	36	1	analysis	analysis	NOUN
cana-325	36	2	of	of	ADP
cana-325	36	3	the	the	DET
cana-325	36	4	analytical	analytical	ADJ
cana-325	36	5	solutions	solution	NOUN
cana-325	36	6	enables	enable	VERB
cana-325	36	7	important	important	ADJ
cana-325	36	8	insights	insight	NOUN
cana-325	36	9	into	into	ADP
cana-325	36	10	how	how	SCONJ
cana-325	36	11	a	a	DET
cana-325	36	12	system	system	NOUN
cana-325	36	13	behaves	behave	VERB
cana-325	36	14	to	to	PART
cana-325	36	15	be	be	AUX
cana-325	36	16	obtained	obtain	VERB
cana-325	36	17	.	.	PUNCT
cana-325	37	1	when	when	SCONJ
cana-325	37	2	predicting	predict	VERB
cana-325	37	3	the	the	DET
cana-325	37	4	impact	impact	NOUN
cana-325	37	5	of	of	ADP
cana-325	37	6	a	a	DET
cana-325	37	7	specific	specific	ADJ
cana-325	37	8	source	source	NOUN
cana-325	37	9	(	(	PUNCT
cana-325	37	10	stack	stack	NOUN
cana-325	37	11	)	)	PUNCT
cana-325	37	12	emission	emission	NOUN
cana-325	37	13	on	on	ADP
cana-325	37	14	air	air	NOUN
cana-325	37	15	quality	quality	NOUN
cana-325	37	16	,	,	PUNCT
cana-325	37	17	dispersion	dispersion	NOUN
cana-325	37	18	modeling	modeling	NOUN
cana-325	37	19	is	be	AUX
cana-325	37	20	crucial	crucial	ADJ
cana-325	37	21	for	for	ADP
cana-325	37	22	investigators	investigator	NOUN
cana-325	37	23	.	.	PUNCT
cana-325	38	1	understanding	understand	VERB
cana-325	38	2	the	the	DET
cana-325	38	3	types	type	NOUN
cana-325	38	4	of	of	ADP
cana-325	38	5	air	air	NOUN
cana-325	38	6	pollutants	pollutant	NOUN
cana-325	38	7	is	be	AUX
cana-325	38	8	crucial	crucial	ADJ
cana-325	38	9	for	for	ADP
cana-325	38	10	creating	create	VERB
cana-325	38	11	an	an	DET
cana-325	38	12	accurate	accurate	ADJ
cana-325	38	13	air	air	NOUN
cana-325	38	14	pollution	pollution	NOUN
cana-325	38	15	model	model	NOUN
cana-325	38	16	.	.	PUNCT
cana-325	39	1	consequently	consequently	ADV
cana-325	39	2	,	,	PUNCT
cana-325	39	3	when	when	SCONJ
cana-325	39	4	presenting	present	VERB
cana-325	39	5	mathematical	mathematical	ADJ
cana-325	39	6	models	model	NOUN
cana-325	39	7	,	,	PUNCT
cana-325	39	8	consideration	consideration	NOUN
cana-325	39	9	should	should	AUX
cana-325	39	10	be	be	AUX
cana-325	39	11	given	give	VERB
cana-325	39	12	to	to	ADP
cana-325	39	13	both	both	CCONJ
cana-325	39	14	the	the	DET
cana-325	39	15	passive	passive	ADJ
cana-325	39	16	nature	nature	NOUN
cana-325	39	17	of	of	ADP
cana-325	39	18	the	the	DET
cana-325	39	19	boundaries	boundary	NOUN
cana-325	39	20	and	and	CCONJ
cana-325	39	21	the	the	DET
cana-325	39	22	structure	structure	NOUN
cana-325	39	23	and	and	CCONJ
cana-325	39	24	characteristics	characteristic	NOUN
cana-325	39	25	of	of	ADP
cana-325	39	26	the	the	DET
cana-325	39	27	pollutants	pollutant	NOUN
cana-325	39	28	.	.	PUNCT
cana-325	40	1	within	within	ADP
cana-325	40	2	the	the	DET
cana-325	40	3	scientific	scientific	ADJ
cana-325	40	4	community	community	NOUN
cana-325	40	5	,	,	PUNCT
cana-325	40	6	mathematical	mathematical	ADJ
cana-325	40	7	modelling	modelling	NOUN
cana-325	40	8	is	be	AUX
cana-325	40	9	widely	widely	ADV
cana-325	40	10	acknowledged	acknowledge	VERB
cana-325	40	11	for	for	ADP
cana-325	40	12	its	its	PRON
cana-325	40	13	significance	significance	NOUN
cana-325	40	14	and	and	CCONJ
cana-325	40	15	necessity	necessity	NOUN
cana-325	40	16	.	.	PUNCT
cana-325	41	1	in	in	ADP
cana-325	41	2	the	the	DET
cana-325	41	3	past	past	NOUN
cana-325	41	4	,	,	PUNCT
cana-325	41	5	a	a	DET
cana-325	41	6	variety	variety	NOUN
cana-325	41	7	of	of	ADP
cana-325	41	8	modeling	modeling	NOUN
cana-325	41	9	techniques	technique	NOUN
cana-325	41	10	have	have	AUX
cana-325	41	11	been	be	AUX
cana-325	41	12	successfully	successfully	ADV
cana-325	41	13	applied	apply	VERB
cana-325	41	14	to	to	PART
cana-325	41	15	address	address	VERB
cana-325	41	16	the	the	DET
cana-325	41	17	dispersion	dispersion	NOUN
cana-325	41	18	of	of	ADP
cana-325	41	19	air	air	NOUN
cana-325	41	20	pollution	pollution	NOUN
cana-325	41	21	.	.	PUNCT
cana-325	42	1	additionally	additionally	ADV
cana-325	42	2	,	,	PUNCT
cana-325	42	3	consistent	consistent	ADJ
cana-325	42	4	efforts	effort	NOUN
cana-325	42	5	are	be	AUX
cana-325	42	6	being	be	AUX
cana-325	42	7	made	make	VERB
cana-325	42	8	to	to	PART
cana-325	42	9	increase	increase	VERB
cana-325	42	10	prediction	prediction	NOUN
cana-325	42	11	accuracy	accuracy	NOUN
cana-325	42	12	by	by	ADP
cana-325	42	13	utilizing	utilize	VERB
cana-325	42	14	the	the	DET
cana-325	42	15	most	most	ADV
cana-325	42	16	recent	recent	ADJ
cana-325	42	17	developments	development	NOUN
cana-325	42	18	in	in	ADP
cana-325	42	19	computing	compute	VERB
cana-325	42	20	technology	technology	NOUN
cana-325	42	21	as	as	ADV
cana-325	42	22	well	well	ADV
cana-325	42	23	as	as	ADP
cana-325	42	24	enhancements	enhancement	NOUN
cana-325	42	25	to	to	ADP
cana-325	42	26	the	the	DET
cana-325	42	27	observational	observational	ADJ
cana-325	42	28	and	and	CCONJ
cana-325	42	29	modeling	model	VERB
cana-325	42	30	frameworks	framework	NOUN
cana-325	42	31	[	[	X
cana-325	42	32	12	12	NUM
cana-325	42	33	]	]	PUNCT
cana-325	42	34	.	.	PUNCT
cana-325	43	1	sharan	sharan	PROPN
cana-325	43	2	et	et	PROPN
cana-325	43	3	al	al	PROPN
cana-325	43	4	.	.	PUNCT
cana-325	44	1	[	[	X
cana-325	44	2	12	12	NUM
cana-325	44	3	,	,	PUNCT
cana-325	44	4	13	13	NUM
cana-325	44	5	]	]	PUNCT
cana-325	44	6	have	have	AUX
cana-325	44	7	attempted	attempt	VERB
cana-325	44	8	to	to	PART
cana-325	44	9	review	review	VERB
cana-325	44	10	the	the	DET
cana-325	44	11	significant	significant	ADJ
cana-325	44	12	research	research	NOUN
cana-325	44	13	on	on	ADP
cana-325	44	14	dispersion	dispersion	NOUN
cana-325	44	15	modelling	modelling	NOUN
cana-325	44	16	.	.	PUNCT
cana-325	45	1	in	in	ADP
cana-325	45	2	a	a	DET
cana-325	45	3	different	different	ADJ
cana-325	45	4	work	work	NOUN
cana-325	45	5	,	,	PUNCT
cana-325	45	6	sharan	sharan	PROPN
cana-325	45	7	et	et	PROPN
cana-325	45	8	al	al	PROPN
cana-325	45	9	.	.	PROPN
cana-325	45	10	developed	develop	VERB
cana-325	45	11	a	a	DET
cana-325	45	12	mathematical	mathematical	ADJ
cana-325	45	13	model	model	NOUN
cana-325	45	14	for	for	ADP
cana-325	45	15	low	low	ADJ
cana-325	45	16	wind	wind	NOUN
cana-325	45	17	conditions	condition	NOUN
cana-325	45	18	by	by	ADP
cana-325	45	19	accounting	account	VERB
cana-325	45	20	for	for	ADP
cana-325	45	21	diffusion	diffusion	NOUN
cana-325	45	22	downwind	downwind	NOUN
cana-325	45	23	.	.	PUNCT
cana-325	46	1	essa	essa	PROPN
cana-325	47	1	[	[	X
cana-325	47	2	7	7	X
cana-325	47	3	]	]	PUNCT
cana-325	47	4	and	and	CCONJ
cana-325	47	5	essa	essa	PROPN
cana-325	47	6	et	et	PROPN
cana-325	47	7	al	al	PROPN
cana-325	47	8	.	.	PUNCT
cana-325	48	1	[	[	X
cana-325	48	2	8	8	NUM
cana-325	48	3	]	]	PUNCT
cana-325	48	4	have	have	AUX
cana-325	48	5	studied	study	VERB
cana-325	48	6	the	the	DET
cana-325	48	7	effect	effect	NOUN
cana-325	48	8	of	of	ADP
cana-325	48	9	eddy	eddy	PROPN
cana-325	48	10	diffusivity	diffusivity	NOUN
cana-325	48	11	on	on	ADP
cana-325	48	12	the	the	DET
cana-325	48	13	solution	solution	NOUN
cana-325	48	14	of	of	ADP
cana-325	48	15	diffusion	diffusion	NOUN
cana-325	48	16	equation	equation	NOUN
cana-325	48	17	.	.	PUNCT
cana-325	49	1	in	in	ADP
cana-325	49	2	another	another	DET
cana-325	49	3	paper	paper	NOUN
cana-325	49	4	,	,	PUNCT
cana-325	49	5	essa	essa	PROPN
cana-325	49	6	et	et	PROPN
cana-325	49	7	al	al	PROPN
cana-325	49	8	.	.	PUNCT
cana-325	50	1	[	[	X
cana-325	50	2	9	9	NUM
cana-325	50	3	]	]	PUNCT
cana-325	50	4	have	have	AUX
cana-325	50	5	provided	provide	VERB
cana-325	50	6	an	an	DET
cana-325	50	7	analytical	analytical	ADJ
cana-325	50	8	solution	solution	NOUN
cana-325	50	9	to	to	ADP
cana-325	50	10	the	the	DET
cana-325	50	11	threedimensional	threedimensional	ADJ
cana-325	50	12	advection	advection	NOUN
cana-325	50	13	-	-	PUNCT
cana-325	50	14	diffusion	diffusion	NOUN
cana-325	50	15	equations	equation	NOUN
cana-325	50	16	,	,	PUNCT
cana-325	50	17	taking	take	VERB
cana-325	50	18	the	the	DET
cana-325	50	19	vertical	vertical	ADJ
cana-325	50	20	eddy	eddy	PROPN
cana-325	50	21	diffusivity	diffusivity	NOUN
cana-325	50	22	and	and	CCONJ
cana-325	50	23	the	the	DET
cana-325	50	24	wind	wind	NOUN
cana-325	50	25	speed	speed	NOUN
cana-325	50	26	as	as	ADP
cana-325	50	27	the	the	DET
cana-325	50	28	dependent	dependent	ADJ
cana-325	50	29	variables	variable	NOUN
cana-325	50	30	for	for	ADP
cana-325	50	31	the	the	DET
cana-325	50	32	vertical	vertical	ADJ
cana-325	50	33	height	height	NOUN
cana-325	50	34	z	z	PROPN
cana-325	50	35	,	,	PUNCT
cana-325	50	36	with	with	ADP
cana-325	50	37	the	the	DET
cana-325	50	38	assumption	assumption	NOUN
cana-325	50	39	that	that	SCONJ
cana-325	50	40	the	the	DET
cana-325	50	41	concentration	concentration	NOUN
cana-325	50	42	distribution	distribution	NOUN
cana-325	50	43	of	of	ADP
cana-325	50	44	pollutants	pollutant	NOUN
cana-325	50	45	in	in	ADP
cana-325	50	46	the	the	DET
cana-325	50	47	crosswind	crosswind	NOUN
cana-325	50	48	direction	direction	NOUN
cana-325	50	49	has	have	AUX
cana-325	50	50	a	a	DET
cana-325	50	51	gaussian	gaussian	ADJ
cana-325	50	52	shape	shape	NOUN
cana-325	50	53	.	.	PUNCT
cana-325	51	1	using	use	VERB
cana-325	51	2	a	a	DET
cana-325	51	3	power	power	NOUN
cana-325	51	4	law	law	NOUN
cana-325	51	5	profile	profile	NOUN
cana-325	51	6	,	,	PUNCT
cana-325	51	7	srivastava	srivastava	PROPN
cana-325	51	8	et	et	PROPN
cana-325	51	9	al	al	PROPN
cana-325	51	10	.	.	PUNCT
cana-325	52	1	[	[	X
cana-325	52	2	14	14	NUM
cana-325	52	3	]	]	PUNCT
cana-325	52	4	have	have	AUX
cana-325	52	5	presented	present	VERB
cana-325	52	6	a	a	DET
cana-325	52	7	three	three	NUM
cana-325	52	8	-	-	PUNCT
cana-325	52	9	dimensional	dimensional	ADJ
cana-325	52	10	atmospheric	atmospheric	ADJ
cana-325	52	11	diffusion	diffusion	NOUN
cana-325	52	12	model	model	NOUN
cana-325	52	13	with	with	ADP
cana-325	52	14	a	a	DET
cana-325	52	15	variable	variable	ADJ
cana-325	52	16	removal	removal	NOUN
cana-325	52	17	rate	rate	NOUN
cana-325	52	18	and	and	CCONJ
cana-325	52	19	variable	variable	ADJ
cana-325	52	20	wind	wind	NOUN
cana-325	52	21	velocity	velocity	NOUN
cana-325	52	22	.	.	PUNCT
cana-325	53	1	communications	communication	NOUN
cana-325	53	2	on	on	ADP
cana-325	53	3	applied	apply	VERB
cana-325	53	4	nonlinear	nonlinear	ADJ
cana-325	53	5	analysis	analysis	NOUN
cana-325	53	6	issn	issn	NOUN
cana-325	53	7	:	:	PUNCT
cana-325	53	8	1074	1074	NUM
cana-325	53	9	-	-	PUNCT
cana-325	53	10	133x	133x	NUM
cana-325	53	11	vol	vol	NOUN
cana-325	53	12	30	30	NUM
cana-325	53	13	no	no	NOUN
cana-325	53	14	.	.	NOUN
cana-325	53	15	4	4	NUM
cana-325	53	16	(	(	PUNCT
cana-325	53	17	2023	2023	NUM
cana-325	53	18	)	)	PUNCT
cana-325	53	19	168	168	NUM
cana-325	53	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	53	21	bhandari	bhandari	NOUN
cana-325	53	22	and	and	CCONJ
cana-325	53	23	verma	verma	PROPN
cana-325	54	1	[	[	X
cana-325	54	2	4	4	X
cana-325	54	3	]	]	PUNCT
cana-325	54	4	have	have	AUX
cana-325	54	5	presented	present	VERB
cana-325	54	6	an	an	DET
cana-325	54	7	analytical	analytical	ADJ
cana-325	54	8	model	model	NOUN
cana-325	54	9	for	for	ADP
cana-325	54	10	the	the	DET
cana-325	54	11	dispersion	dispersion	NOUN
cana-325	54	12	of	of	ADP
cana-325	54	13	air	air	NOUN
cana-325	54	14	pollutants	pollutant	NOUN
cana-325	54	15	in	in	ADP
cana-325	54	16	a	a	DET
cana-325	54	17	finite	finite	ADJ
cana-325	54	18	atmospheric	atmospheric	ADJ
cana-325	54	19	boundary	boundary	ADJ
cana-325	54	20	layer	layer	NOUN
cana-325	54	21	using	use	VERB
cana-325	54	22	variable	variable	ADJ
cana-325	54	23	separable	separable	ADJ
cana-325	54	24	method	method	NOUN
cana-325	54	25	.	.	PUNCT
cana-325	55	1	bhandari	bhandari	PROPN
cana-325	55	2	et	et	PROPN
cana-325	55	3	al	al	PROPN
cana-325	55	4	.	.	PUNCT
cana-325	56	1	[	[	X
cana-325	56	2	5	5	NUM
cana-325	56	3	]	]	PUNCT
cana-325	56	4	have	have	AUX
cana-325	56	5	presented	present	VERB
cana-325	56	6	a	a	DET
cana-325	56	7	mathematical	mathematical	ADJ
cana-325	56	8	study	study	NOUN
cana-325	56	9	on	on	ADP
cana-325	56	10	dispersion	dispersion	NOUN
cana-325	56	11	of	of	ADP
cana-325	56	12	non	non	ADJ
cana-325	56	13	-	-	ADJ
cana-325	56	14	buoyant	buoyant	ADJ
cana-325	56	15	air	air	NOUN
cana-325	56	16	pollutants	pollutant	NOUN
cana-325	56	17	emitted	emit	VERB
cana-325	56	18	from	from	ADP
cana-325	56	19	point	point	NOUN
cana-325	56	20	source	source	NOUN
cana-325	56	21	having	have	VERB
cana-325	56	22	variable	variable	ADJ
cana-325	56	23	wind	wind	NOUN
cana-325	56	24	velocity	velocity	NOUN
cana-325	56	25	.	.	PUNCT
cana-325	57	1	an	an	DET
cana-325	57	2	analytical	analytical	ADJ
cana-325	57	3	approach	approach	NOUN
cana-325	57	4	to	to	ADP
cana-325	57	5	a	a	DET
cana-325	57	6	problem	problem	NOUN
cana-325	57	7	on	on	ADP
cana-325	57	8	the	the	DET
cana-325	57	9	dispersion	dispersion	NOUN
cana-325	57	10	of	of	ADP
cana-325	57	11	air	air	NOUN
cana-325	57	12	pollutants	pollutant	NOUN
cana-325	57	13	is	be	AUX
cana-325	57	14	investigated	investigate	VERB
cana-325	57	15	by	by	ADP
cana-325	57	16	verma	verma	PROPN
cana-325	57	17	et	et	PROPN
cana-325	57	18	al	al	PROPN
cana-325	57	19	.	.	PUNCT
cana-325	58	1	[	[	X
cana-325	58	2	15	15	NUM
cana-325	58	3	]	]	PUNCT
cana-325	58	4	.	.	PUNCT
cana-325	59	1	verma	verma	PROPN
cana-325	60	1	[	[	X
cana-325	60	2	18	18	NUM
cana-325	60	3	]	]	PUNCT
cana-325	60	4	has	have	AUX
cana-325	60	5	also	also	ADV
cana-325	60	6	provided	provide	VERB
cana-325	60	7	an	an	DET
cana-325	60	8	analytical	analytical	ADJ
cana-325	60	9	approach	approach	NOUN
cana-325	60	10	to	to	ADP
cana-325	60	11	the	the	DET
cana-325	60	12	problem	problem	NOUN
cana-325	60	13	of	of	ADP
cana-325	60	14	dispersion	dispersion	NOUN
cana-325	60	15	of	of	ADP
cana-325	60	16	air	air	NOUN
cana-325	60	17	pollutant	pollutant	ADJ
cana-325	60	18	with	with	ADP
cana-325	60	19	constant	constant	ADJ
cana-325	60	20	wind	wind	NOUN
cana-325	60	21	velocity	velocity	NOUN
cana-325	60	22	and	and	CCONJ
cana-325	60	23	constant	constant	ADJ
cana-325	60	24	removal	removal	NOUN
cana-325	60	25	rate	rate	NOUN
cana-325	60	26	by	by	ADP
cana-325	60	27	taking	take	VERB
cana-325	60	28	constant	constant	ADJ
cana-325	60	29	eddy	eddy	NOUN
cana-325	60	30	diffusivities	diffusivitie	NOUN
cana-325	60	31	into	into	ADP
cana-325	60	32	consideration	consideration	NOUN
cana-325	60	33	.	.	PUNCT
cana-325	61	1	by	by	ADP
cana-325	61	2	assuming	assume	VERB
cana-325	61	3	that	that	SCONJ
cana-325	61	4	the	the	DET
cana-325	61	5	wind	wind	NOUN
cana-325	61	6	velocity	velocity	NOUN
cana-325	61	7	varies	vary	VERB
cana-325	61	8	with	with	ADP
cana-325	61	9	downwind	downwind	ADJ
cana-325	61	10	distance	distance	NOUN
cana-325	61	11	in	in	ADP
cana-325	61	12	the	the	DET
cana-325	61	13	form	form	NOUN
cana-325	61	14	of	of	ADP
cana-325	61	15	a	a	DET
cana-325	61	16	wave	wave	NOUN
cana-325	61	17	function	function	NOUN
cana-325	61	18	and	and	CCONJ
cana-325	61	19	the	the	DET
cana-325	61	20	removal	removal	NOUN
cana-325	61	21	rate	rate	NOUN
cana-325	61	22	as	as	ADP
cana-325	61	23	a	a	DET
cana-325	61	24	constant	constant	ADJ
cana-325	61	25	,	,	PUNCT
cana-325	61	26	agarwal	agarwal	PROPN
cana-325	61	27	et	et	PROPN
cana-325	61	28	al	al	PROPN
cana-325	61	29	.	.	PUNCT
cana-325	62	1	[	[	X
cana-325	62	2	1	1	X
cana-325	62	3	]	]	PUNCT
cana-325	62	4	have	have	AUX
cana-325	62	5	studied	study	VERB
cana-325	62	6	an	an	DET
cana-325	62	7	unsteady	unsteady	ADJ
cana-325	62	8	state	state	NOUN
cana-325	62	9	threedimensional	threedimensional	ADJ
cana-325	62	10	atmospheric	atmospheric	ADJ
cana-325	62	11	diffusion	diffusion	NOUN
cana-325	62	12	equation	equation	NOUN
cana-325	62	13	for	for	ADP
cana-325	62	14	air	air	NOUN
cana-325	62	15	pollutants	pollutant	NOUN
cana-325	62	16	emitting	emit	VERB
cana-325	62	17	from	from	ADP
cana-325	62	18	a	a	DET
cana-325	62	19	point	point	NOUN
cana-325	62	20	source	source	NOUN
cana-325	62	21	.	.	PUNCT
cana-325	63	1	various	various	ADJ
cana-325	63	2	results	result	NOUN
cana-325	63	3	have	have	AUX
cana-325	63	4	been	be	AUX
cana-325	63	5	found	find	VERB
cana-325	63	6	for	for	ADP
cana-325	63	7	the	the	DET
cana-325	63	8	advection	advection	NOUN
cana-325	63	9	-	-	PUNCT
cana-325	63	10	diffusion	diffusion	NOUN
cana-325	63	11	model	model	NOUN
cana-325	63	12	by	by	ADP
cana-325	63	13	taking	take	VERB
cana-325	63	14	various	various	ADJ
cana-325	63	15	conditions	condition	NOUN
cana-325	63	16	on	on	ADP
cana-325	63	17	wind	wind	NOUN
cana-325	63	18	velocity	velocity	NOUN
cana-325	63	19	and	and	CCONJ
cana-325	63	20	eddy	eddy	PROPN
cana-325	63	21	diffusivity	diffusivity	NOUN
cana-325	64	1	[	[	X
cana-325	64	2	16	16	NUM
cana-325	64	3	,	,	PUNCT
cana-325	64	4	17	17	NUM
cana-325	64	5	,	,	PUNCT
cana-325	64	6	18	18	NUM
cana-325	64	7	]	]	PUNCT
cana-325	64	8	.	.	PUNCT
cana-325	65	1	particulates	particulate	NOUN
cana-325	65	2	have	have	VERB
cana-325	65	3	a	a	DET
cana-325	65	4	property	property	NOUN
cana-325	65	5	to	to	PART
cana-325	65	6	settle	settle	VERB
cana-325	65	7	on	on	ADP
cana-325	65	8	the	the	DET
cana-325	65	9	atmosphere	atmosphere	NOUN
cana-325	65	10	's	's	PART
cana-325	65	11	surface	surface	NOUN
cana-325	65	12	,	,	PUNCT
cana-325	65	13	therefore	therefore	ADV
cana-325	65	14	,	,	PUNCT
cana-325	65	15	it	it	PRON
cana-325	65	16	is	be	AUX
cana-325	65	17	important	important	ADJ
cana-325	65	18	to	to	PART
cana-325	65	19	take	take	VERB
cana-325	65	20	into	into	ADP
cana-325	65	21	account	account	NOUN
cana-325	65	22	that	that	SCONJ
cana-325	65	23	they	they	PRON
cana-325	65	24	are	be	AUX
cana-325	65	25	nonbuoyant	nonbuoyant	ADJ
cana-325	66	1	[	[	X
cana-325	66	2	6	6	NUM
cana-325	66	3	,	,	PUNCT
cana-325	66	4	2	2	NUM
cana-325	66	5	]	]	PUNCT
cana-325	66	6	.	.	PUNCT
cana-325	67	1	alam	alam	PROPN
cana-325	67	2	and	and	CCONJ
cana-325	67	3	seinfeld	seinfeld	PROPN
cana-325	68	1	[	[	X
cana-325	68	2	3	3	X
cana-325	68	3	]	]	PUNCT
cana-325	68	4	have	have	AUX
cana-325	68	5	given	give	VERB
cana-325	68	6	a	a	DET
cana-325	68	7	solution	solution	NOUN
cana-325	68	8	of	of	ADP
cana-325	68	9	steady	steady	ADJ
cana-325	68	10	state	state	NOUN
cana-325	68	11	diffusion	diffusion	NOUN
cana-325	68	12	equation	equation	NOUN
cana-325	68	13	for	for	ADP
cana-325	68	14	sulphur	sulphur	NOUN
cana-325	68	15	dioxide	dioxide	NOUN
cana-325	68	16	and	and	CCONJ
cana-325	68	17	sulphate	sulphate	NOUN
cana-325	68	18	dispersion	dispersion	NOUN
cana-325	68	19	from	from	ADP
cana-325	68	20	point	point	NOUN
cana-325	68	21	source	source	NOUN
cana-325	68	22	.	.	PUNCT
cana-325	69	1	lin	lin	PROPN
cana-325	69	2	and	and	CCONJ
cana-325	69	3	hildemann	hildemann	VERB
cana-325	70	1	[	[	X
cana-325	70	2	10	10	NUM
cana-325	70	3	]	]	PUNCT
cana-325	70	4	have	have	AUX
cana-325	70	5	given	give	VERB
cana-325	70	6	analytical	analytical	ADJ
cana-325	70	7	solutions	solution	NOUN
cana-325	70	8	of	of	ADP
cana-325	70	9	the	the	DET
cana-325	70	10	atmospheric	atmospheric	ADJ
cana-325	70	11	diffusion	diffusion	NOUN
cana-325	70	12	equation	equation	NOUN
cana-325	70	13	with	with	ADP
cana-325	70	14	multiple	multiple	ADJ
cana-325	70	15	sources	source	NOUN
cana-325	70	16	.	.	PUNCT
cana-325	71	1	manisalidis	manisalidis	INTJ
cana-325	71	2	et	et	PROPN
cana-325	71	3	al	al	PROPN
cana-325	71	4	.	.	PUNCT
cana-325	72	1	[	[	X
cana-325	72	2	11	11	NUM
cana-325	72	3	]	]	PUNCT
cana-325	72	4	have	have	AUX
cana-325	72	5	reviewed	review	VERB
cana-325	72	6	environmental	environmental	ADJ
cana-325	72	7	and	and	CCONJ
cana-325	72	8	health	health	NOUN
cana-325	72	9	impacts	impact	NOUN
cana-325	72	10	of	of	ADP
cana-325	72	11	air	air	NOUN
cana-325	72	12	pollution	pollution	NOUN
cana-325	72	13	.	.	PUNCT
cana-325	73	1	in	in	ADP
cana-325	73	2	view	view	NOUN
cana-325	73	3	of	of	ADP
cana-325	73	4	the	the	DET
cana-325	73	5	above	above	ADJ
cana-325	73	6	mentioned	mention	VERB
cana-325	73	7	researches	research	NOUN
cana-325	73	8	done	do	VERB
cana-325	73	9	on	on	ADP
cana-325	73	10	how	how	SCONJ
cana-325	73	11	changing	change	VERB
cana-325	73	12	wind	wind	NOUN
cana-325	73	13	velocity	velocity	NOUN
cana-325	73	14	affects	affect	VERB
cana-325	73	15	the	the	DET
cana-325	73	16	dispersion	dispersion	NOUN
cana-325	73	17	of	of	ADP
cana-325	73	18	non	non	ADJ
cana-325	73	19	-	-	ADJ
cana-325	73	20	buoyant	buoyant	ADJ
cana-325	73	21	pollutants	pollutant	NOUN
cana-325	73	22	from	from	ADP
cana-325	73	23	a	a	DET
cana-325	73	24	point	point	NOUN
cana-325	73	25	source	source	NOUN
cana-325	73	26	that	that	PRON
cana-325	73	27	is	be	AUX
cana-325	73	28	located	locate	VERB
cana-325	73	29	at	at	ADP
cana-325	73	30	the	the	DET
cana-325	73	31	ground	ground	NOUN
cana-325	73	32	's	's	PART
cana-325	73	33	origin	origin	NOUN
cana-325	73	34	(	(	PUNCT
cana-325	73	35	z	z	NOUN
cana-325	73	36	=	=	NOUN
cana-325	73	37	hs	hs	X
cana-325	73	38	)	)	PUNCT
cana-325	73	39	,	,	PUNCT
cana-325	73	40	it	it	PRON
cana-325	73	41	is	be	AUX
cana-325	73	42	recommended	recommend	VERB
cana-325	73	43	to	to	PART
cana-325	73	44	use	use	VERB
cana-325	73	45	a	a	DET
cana-325	73	46	non	non	ADJ
cana-325	73	47	-	-	ADJ
cana-325	73	48	positive	positive	ADJ
cana-325	73	49	sink	sink	NOUN
cana-325	73	50	velocity	velocity	NOUN
cana-325	73	51	in	in	ADP
cana-325	73	52	the	the	DET
cana-325	73	53	vertical	vertical	ADJ
cana-325	73	54	direction	direction	NOUN
cana-325	73	55	to	to	PART
cana-325	73	56	take	take	VERB
cana-325	73	57	the	the	DET
cana-325	73	58	effects	effect	NOUN
cana-325	73	59	of	of	ADP
cana-325	73	60	buoyancy	buoyancy	NOUN
cana-325	73	61	on	on	ADP
cana-325	73	62	the	the	DET
cana-325	73	63	pollutant	pollutant	NOUN
cana-325	73	64	into	into	ADP
cana-325	73	65	consideration	consideration	NOUN
cana-325	73	66	.	.	PUNCT
cana-325	74	1	therefore	therefore	ADV
cana-325	74	2	,	,	PUNCT
cana-325	74	3	we	we	PRON
cana-325	74	4	have	have	AUX
cana-325	74	5	considered	consider	VERB
cana-325	74	6	the	the	DET
cana-325	74	7	dirichlet	dirichlet	NOUN
cana-325	74	8	-	-	PUNCT
cana-325	74	9	type	type	NOUN
cana-325	74	10	boundary	boundary	ADJ
cana-325	74	11	condition	condition	NOUN
cana-325	74	12	,	,	PUNCT
cana-325	74	13	which	which	PRON
cana-325	74	14	implies	imply	VERB
cana-325	74	15	that	that	SCONJ
cana-325	74	16	contaminants	contaminant	NOUN
cana-325	74	17	are	be	AUX
cana-325	74	18	removed	remove	VERB
cana-325	74	19	as	as	ADV
cana-325	74	20	soon	soon	ADV
cana-325	74	21	as	as	SCONJ
cana-325	74	22	they	they	PRON
cana-325	74	23	come	come	VERB
cana-325	74	24	into	into	ADP
cana-325	74	25	contact	contact	NOUN
cana-325	74	26	with	with	ADP
cana-325	74	27	the	the	DET
cana-325	74	28	boundaries	boundary	NOUN
cana-325	74	29	.	.	PUNCT
cana-325	75	1	2	2	X
cana-325	75	2	.	.	X
cana-325	75	3	mathematical	mathematical	ADJ
cana-325	75	4	model	model	NOUN
cana-325	75	5	consider	consider	VERB
cana-325	75	6	the	the	DET
cana-325	75	7	steady	steady	ADJ
cana-325	75	8	state	state	NOUN
cana-325	75	9	dispersion	dispersion	NOUN
cana-325	75	10	of	of	ADP
cana-325	75	11	non	non	ADJ
cana-325	75	12	-	-	ADJ
cana-325	75	13	buoyant	buoyant	ADJ
cana-325	75	14	air	air	NOUN
cana-325	75	15	pollutants	pollutant	NOUN
cana-325	75	16	emitted	emit	VERB
cana-325	75	17	from	from	ADP
cana-325	75	18	a	a	DET
cana-325	75	19	point	point	NOUN
cana-325	75	20	source	source	NOUN
cana-325	75	21	of	of	ADP
cana-325	75	22	strength	strength	NOUN
cana-325	75	23	𝑄	𝑄	PRON
cana-325	75	24	located	locate	VERB
cana-325	75	25	at	at	ADP
cana-325	75	26	height	height	NOUN
cana-325	75	27	hs	hs	INTJ
cana-325	75	28	from	from	ADP
cana-325	75	29	the	the	DET
cana-325	75	30	ground	ground	NOUN
cana-325	75	31	,	,	PUNCT
cana-325	75	32	where	where	SCONJ
cana-325	75	33	removal	removal	NOUN
cana-325	75	34	mechanism	mechanism	NOUN
cana-325	75	35	exists	exist	VERB
cana-325	75	36	.	.	PUNCT
cana-325	76	1	the	the	DET
cana-325	76	2	partial	partial	ADJ
cana-325	76	3	differential	differential	NOUN
cana-325	76	4	equation	equation	NOUN
cana-325	76	5	governing	govern	VERB
cana-325	76	6	the	the	DET
cana-325	76	7	concentration	concentration	NOUN
cana-325	76	8	c(x	c(x	NOUN
cana-325	76	9	,	,	PUNCT
cana-325	76	10	y	y	PROPN
cana-325	76	11	,	,	PUNCT
cana-325	76	12	z	z	NOUN
cana-325	76	13	)	)	PUNCT
cana-325	76	14	of	of	ADP
cana-325	76	15	the	the	DET
cana-325	76	16	non	non	ADJ
cana-325	76	17	-	-	ADJ
cana-325	76	18	buoyant	buoyant	ADJ
cana-325	76	19	air	air	NOUN
cana-325	76	20	pollutants	pollutant	NOUN
cana-325	76	21	with	with	ADP
cana-325	76	22	boundary	boundary	ADJ
cana-325	76	23	conditions	condition	NOUN
cana-325	76	24	can	can	AUX
cana-325	76	25	be	be	AUX
cana-325	76	26	written	write	VERB
cana-325	76	27	as	as	SCONJ
cana-325	76	28	follows	follow	VERB
cana-325	76	29	:	:	PUNCT
cana-325	76	30	𝑈(𝑧	𝑈(𝑧	X
cana-325	76	31	)	)	PUNCT
cana-325	76	32	𝜕𝐶	𝜕𝐶	NOUN
cana-325	76	33	𝜕𝑥	𝜕𝑥	X
cana-325	76	34	−	−	NOUN
cana-325	76	35	𝑤𝑠	𝑤𝑠	ADP
cana-325	76	36	𝜕𝐶	𝜕𝐶	NUM
cana-325	76	37	𝜕𝑧	𝜕𝑧	NOUN
cana-325	77	1	=	=	SYM
cana-325	78	1	𝐾𝑦	𝐾𝑦	PROPN
cana-325	78	2	𝜕2𝐶	𝜕2𝐶	NOUN
cana-325	78	3	𝜕𝑦2	𝜕𝑦2	NOUN
cana-325	79	1	+	+	CCONJ
cana-325	80	1	𝐾𝑧	𝐾𝑧	ADJ
cana-325	80	2	𝜕2𝐶	𝜕2𝐶	NOUN
cana-325	80	3	𝜕𝑧2	𝜕𝑧2	NOUN
cana-325	80	4	−	−	PROPN
cana-325	80	5	𝛼𝐶	𝛼𝐶	NOUN
cana-325	80	6	(	(	PUNCT
cana-325	80	7	1	1	X
cana-325	80	8	)	)	PUNCT
cana-325	80	9	where	where	SCONJ
cana-325	80	10	the	the	DET
cana-325	80	11	downwind	downwind	ADJ
cana-325	80	12	diffusion	diffusion	NOUN
cana-325	80	13	is	be	AUX
cana-325	80	14	negligible	negligible	ADJ
cana-325	80	15	in	in	ADP
cana-325	80	16	comparison	comparison	NOUN
cana-325	80	17	to	to	ADP
cana-325	80	18	advection	advection	NOUN
cana-325	80	19	.	.	PUNCT
cana-325	81	1	the	the	DET
cana-325	81	2	effect	effect	NOUN
cana-325	81	3	of	of	ADP
cana-325	81	4	buoyancy	buoyancy	NOUN
cana-325	81	5	on	on	ADP
cana-325	81	6	the	the	DET
cana-325	81	7	problem	problem	NOUN
cana-325	81	8	is	be	AUX
cana-325	81	9	modelled	model	VERB
cana-325	81	10	by	by	ADP
cana-325	81	11	prescribing	prescribe	VERB
cana-325	81	12	a	a	DET
cana-325	81	13	negative	negative	ADJ
cana-325	81	14	sink	sink	NOUN
cana-325	81	15	velocity	velocity	NOUN
cana-325	81	16	'	'	PUNCT
cana-325	81	17	−𝑤𝑠	−𝑤𝑠	NOUN
cana-325	81	18	'	'	PUNCT
cana-325	81	19	in	in	ADP
cana-325	81	20	the	the	DET
cana-325	81	21	zdirection	zdirection	NOUN
cana-325	81	22	where	where	SCONJ
cana-325	81	23	𝑤𝑠	𝑤𝑠	ADP
cana-325	81	24	=	=	PROPN
cana-325	81	25	|𝑤𝑠|	|𝑤𝑠|	PROPN
cana-325	81	26	,	,	PUNCT
cana-325	81	27	c	c	PROPN
cana-325	81	28	is	be	AUX
cana-325	81	29	the	the	DET
cana-325	81	30	concentration	concentration	NOUN
cana-325	81	31	of	of	ADP
cana-325	81	32	air	air	NOUN
cana-325	81	33	pollutants	pollutant	NOUN
cana-325	81	34	,	,	PUNCT
cana-325	81	35	u(z	u(z	NOUN
cana-325	81	36	)	)	PUNCT
cana-325	81	37	is	be	AUX
cana-325	81	38	the	the	DET
cana-325	81	39	variable	variable	ADJ
cana-325	81	40	wind	wind	NOUN
cana-325	81	41	velocity	velocity	NOUN
cana-325	81	42	and	and	CCONJ
cana-325	81	43	𝛼	𝛼	NOUN
cana-325	81	44	is	be	AUX
cana-325	81	45	the	the	DET
cana-325	81	46	constant	constant	ADJ
cana-325	81	47	removal	removal	NOUN
cana-325	81	48	rate	rate	NOUN
cana-325	81	49	,	,	PUNCT
cana-325	81	50	ky	ky	PROPN
cana-325	81	51	and	and	CCONJ
cana-325	81	52	kz	kz	PROPN
cana-325	81	53	are	be	AUX
cana-325	81	54	eddy	eddy	PROPN
cana-325	81	55	diffusivities	diffusivitie	NOUN
cana-325	81	56	in	in	ADP
cana-325	81	57	yand	yand	PROPN
cana-325	81	58	z	z	PROPN
cana-325	81	59	-	-	PUNCT
cana-325	81	60	directions	direction	NOUN
cana-325	81	61	respectively	respectively	ADV
cana-325	81	62	.	.	PUNCT
cana-325	82	1	the	the	DET
cana-325	82	2	initial	initial	ADJ
cana-325	82	3	and	and	CCONJ
cana-325	82	4	boundary	boundary	ADJ
cana-325	82	5	conditions	condition	NOUN
cana-325	82	6	for	for	ADP
cana-325	82	7	equation	equation	NOUN
cana-325	82	8	(	(	PUNCT
cana-325	82	9	1	1	X
cana-325	82	10	)	)	PUNCT
cana-325	82	11	are	be	AUX
cana-325	82	12	taken	take	VERB
cana-325	82	13	as	as	SCONJ
cana-325	82	14	follows	follow	VERB
cana-325	82	15	:	:	PUNCT
cana-325	82	16	communications	communication	NOUN
cana-325	82	17	on	on	ADP
cana-325	82	18	applied	apply	VERB
cana-325	82	19	nonlinear	nonlinear	ADJ
cana-325	82	20	analysis	analysis	NOUN
cana-325	82	21	issn	issn	NOUN
cana-325	82	22	:	:	PUNCT
cana-325	82	23	1074	1074	NUM
cana-325	82	24	-	-	PUNCT
cana-325	82	25	133x	133x	NUM
cana-325	82	26	vol	vol	NOUN
cana-325	82	27	30	30	NUM
cana-325	82	28	no	no	NOUN
cana-325	82	29	.	.	NOUN
cana-325	82	30	4	4	NUM
cana-325	82	31	(	(	PUNCT
cana-325	82	32	2023	2023	NUM
cana-325	82	33	)	)	PUNCT
cana-325	82	34	169	169	NUM
cana-325	82	35	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	82	36	𝐶(𝑥	𝐶(𝑥	SYM
cana-325	82	37	,	,	PUNCT
cana-325	82	38	𝑦	𝑦	NOUN
cana-325	82	39	,	,	PUNCT
cana-325	82	40	𝑧	𝑧	NOUN
cana-325	82	41	)	)	PUNCT
cana-325	82	42	=	=	SYM
cana-325	82	43	𝑄𝛿(𝑦)𝛿(𝑧−ℎ𝑠	𝑄𝛿(𝑦)𝛿(𝑧−ℎ𝑠	NOUN
cana-325	82	44	)	)	PUNCT
cana-325	82	45	𝑈(𝑧	𝑈(𝑧	ADP
cana-325	82	46	)	)	PUNCT
cana-325	82	47	,	,	PUNCT
cana-325	82	48	𝑥	𝑥	NOUN
cana-325	82	49	=	=	SYM
cana-325	82	50	0	0	NUM
cana-325	82	51	(	(	PUNCT
cana-325	82	52	2	2	NUM
cana-325	82	53	)	)	PUNCT
cana-325	82	54	𝐶(𝑥	𝐶(𝑥	PROPN
cana-325	82	55	,	,	PUNCT
cana-325	82	56	𝑦	𝑦	NOUN
cana-325	82	57	,	,	PUNCT
cana-325	82	58	𝑧	𝑧	NOUN
cana-325	82	59	)	)	PUNCT
cana-325	82	60	=	=	SYM
cana-325	82	61	0	0	NUM
cana-325	82	62	,	,	PUNCT
cana-325	82	63	𝑦	𝑦	NOUN
cana-325	82	64	→	→	SYM
cana-325	82	65	±∞	±∞	PROPN
cana-325	82	66	(	(	PUNCT
cana-325	82	67	3	3	NUM
cana-325	82	68	)	)	PUNCT
cana-325	82	69	𝐶(𝑥	𝐶(𝑥	PROPN
cana-325	82	70	,	,	PUNCT
cana-325	82	71	𝑦	𝑦	NOUN
cana-325	82	72	,	,	PUNCT
cana-325	82	73	𝑧	𝑧	NOUN
cana-325	82	74	)	)	PUNCT
cana-325	82	75	=	=	SYM
cana-325	82	76	0	0	NUM
cana-325	82	77	,	,	PUNCT
cana-325	82	78	z=0	z=0	PROPN
cana-325	82	79	(	(	PUNCT
cana-325	82	80	4a	4a	NUM
cana-325	82	81	)	)	PUNCT
cana-325	82	82	𝐶(𝑥	𝐶(𝑥	PROPN
cana-325	82	83	,	,	PUNCT
cana-325	82	84	𝑦	𝑦	NOUN
cana-325	82	85	,	,	PUNCT
cana-325	82	86	𝑧	𝑧	NOUN
cana-325	82	87	)	)	PUNCT
cana-325	82	88	=	=	SYM
cana-325	82	89	0	0	NUM
cana-325	82	90	,	,	PUNCT
cana-325	82	91	𝑧	𝑧	NOUN
cana-325	82	92	=	=	SYM
cana-325	82	93	𝐻	𝐻	PROPN
cana-325	82	94	(	(	PUNCT
cana-325	82	95	4b	4b	X
cana-325	82	96	)	)	PUNCT
cana-325	82	97	where	where	SCONJ
cana-325	82	98	𝛿	𝛿	PROPN
cana-325	82	99	is	be	AUX
cana-325	82	100	the	the	DET
cana-325	82	101	dirac	dirac	NOUN
cana-325	82	102	-	-	PUNCT
cana-325	82	103	delta	delta	NOUN
cana-325	82	104	function	function	NOUN
cana-325	82	105	.	.	PUNCT
cana-325	83	1	the	the	DET
cana-325	83	2	conditions	condition	NOUN
cana-325	83	3	(	(	PUNCT
cana-325	83	4	4a	4a	NUM
cana-325	83	5	)	)	PUNCT
cana-325	83	6	and	and	CCONJ
cana-325	83	7	(	(	PUNCT
cana-325	83	8	4b	4b	X
cana-325	83	9	)	)	PUNCT
cana-325	83	10	represent	represent	VERB
cana-325	83	11	the	the	DET
cana-325	83	12	dirichlet	dirichlet	PROPN
cana-325	83	13	type	type	NOUN
cana-325	83	14	boundary	boundary	ADJ
cana-325	83	15	conditions	condition	NOUN
cana-325	83	16	.	.	PUNCT
cana-325	84	1	it	it	PRON
cana-325	84	2	is	be	AUX
cana-325	84	3	also	also	ADV
cana-325	84	4	assumed	assume	VERB
cana-325	84	5	that	that	SCONJ
cana-325	84	6	the	the	DET
cana-325	84	7	wind	wind	NOUN
cana-325	84	8	velocity	velocity	NOUN
cana-325	84	9	u(z	u(z	NOUN
cana-325	84	10	)	)	PUNCT
cana-325	84	11	varies	vary	VERB
cana-325	84	12	with	with	ADP
cana-325	84	13	height	height	NOUN
cana-325	84	14	,	,	PUNCT
cana-325	84	15	which	which	PRON
cana-325	84	16	follows	follow	VERB
cana-325	84	17	the	the	DET
cana-325	84	18	power	power	NOUN
cana-325	84	19	law	law	NOUN
cana-325	84	20	and	and	CCONJ
cana-325	84	21	is	be	AUX
cana-325	84	22	taken	take	VERB
cana-325	84	23	in	in	ADP
cana-325	84	24	the	the	DET
cana-325	84	25	following	follow	VERB
cana-325	84	26	form	form	NOUN
cana-325	84	27	:	:	PUNCT
cana-325	84	28	𝑈(𝑧	𝑈(𝑧	X
cana-325	84	29	)	)	PUNCT
cana-325	84	30	=	=	SYM
cana-325	84	31	𝑈𝐻	𝑈𝐻	PROPN
cana-325	84	32	𝐻𝑃	𝐻𝑃	PROPN
cana-325	84	33	𝑧𝑃	𝑧𝑃	PROPN
cana-325	84	34	where	where	SCONJ
cana-325	84	35	uh	uh	INTJ
cana-325	84	36	is	be	AUX
cana-325	84	37	the	the	DET
cana-325	84	38	wind	wind	NOUN
cana-325	84	39	velocity	velocity	NOUN
cana-325	84	40	at	at	ADP
cana-325	84	41	reference	reference	NOUN
cana-325	84	42	height	height	NOUN
cana-325	84	43	h.	h.	PROPN
cana-325	84	44	hence	hence	ADV
cana-325	84	45	,	,	PUNCT
cana-325	84	46	equation	equation	NOUN
cana-325	84	47	(	(	PUNCT
cana-325	84	48	1	1	X
cana-325	84	49	)	)	PUNCT
cana-325	84	50	can	can	AUX
cana-325	84	51	be	be	AUX
cana-325	84	52	re	re	VERB
cana-325	84	53	-	-	VERB
cana-325	84	54	written	write	VERB
cana-325	84	55	as	as	ADP
cana-325	84	56	:	:	PUNCT
cana-325	84	57	𝑈𝐻	𝑈𝐻	PROPN
cana-325	84	58	𝐻𝑃	𝐻𝑃	PROPN
cana-325	84	59	𝑍𝑃	𝑍𝑃	PROPN
cana-325	84	60	𝜕𝐶	𝜕𝐶	PROPN
cana-325	84	61	𝜕𝑥	𝜕𝑥	X
cana-325	84	62	−	−	NOUN
cana-325	84	63	𝑤𝑠	𝑤𝑠	ADP
cana-325	84	64	𝜕𝐶	𝜕𝐶	NUM
cana-325	84	65	𝜕𝑧	𝜕𝑧	NOUN
cana-325	84	66	=	=	SYM
cana-325	85	1	𝐾𝑦	𝐾𝑦	PROPN
cana-325	85	2	𝜕2𝐶	𝜕2𝐶	NOUN
cana-325	85	3	𝜕𝑦2	𝜕𝑦2	NOUN
cana-325	86	1	+	+	CCONJ
cana-325	87	1	𝐾𝑧	𝐾𝑧	ADJ
cana-325	87	2	𝜕2𝐶	𝜕2𝐶	NOUN
cana-325	87	3	𝜕𝑧2	𝜕𝑧2	NOUN
cana-325	87	4	−	−	PROPN
cana-325	87	5	𝛼𝐶	𝛼𝐶	NOUN
cana-325	87	6	(	(	PUNCT
cana-325	87	7	5	5	X
cana-325	87	8	)	)	PUNCT
cana-325	87	9	using	use	VERB
cana-325	87	10	the	the	DET
cana-325	87	11	following	follow	VERB
cana-325	87	12	dimensionless	dimensionless	NOUN
cana-325	87	13	quantities	quantity	NOUN
cana-325	87	14	�	�	NOUN
cana-325	87	15	̅	̅	NOUN
cana-325	87	16	�	�	NOUN
cana-325	87	17	=	=	SYM
cana-325	87	18	𝐾𝑧𝑥	𝐾𝑧𝑥	PROPN
cana-325	87	19	𝑈𝐻𝐻2	𝑈𝐻𝐻2	NOUN
cana-325	87	20	,	,	PUNCT
cana-325	87	21	�	�	NOUN
cana-325	87	22	̅	̅	NOUN
cana-325	87	23	�	�	NOUN
cana-325	87	24	=	=	SYM
cana-325	87	25	𝑦	𝑦	SYM
cana-325	87	26	𝐻	𝐻	NOUN
cana-325	87	27	,	,	PUNCT
cana-325	87	28	𝑧̅	𝑧̅	PROPN
cana-325	87	29	=	=	PUNCT
cana-325	87	30	𝑧	𝑧	DET
cana-325	87	31	𝐻	𝐻	PROPN
cana-325	87	32	,	,	PUNCT
cana-325	87	33	ℎ𝑠	ℎ𝑠	ADP
cana-325	87	34	̅̅̅	̅̅̅	PROPN
cana-325	87	35	=	=	PUNCT
cana-325	87	36	ℎ𝑠	ℎ𝑠	PROPN
cana-325	87	37	𝐻	𝐻	PROPN
cana-325	87	38	,	,	PUNCT
cana-325	87	39	𝐶̅	𝐶̅	NOUN
cana-325	87	40	=	=	SYM
cana-325	87	41	𝑈𝐻𝐻2𝐶	𝑈𝐻𝐻2𝐶	NUM
cana-325	87	42	𝑄	𝑄	PROPN
cana-325	87	43	,	,	PUNCT
cana-325	87	44	𝛿(𝑧̅	𝛿(𝑧̅	PROPN
cana-325	87	45	−	−	PROPN
cana-325	87	46	ℎ𝑠	ℎ𝑠	PROPN
cana-325	87	47	)	)	PUNCT
cana-325	87	48	=	=	PUNCT
cana-325	87	49	𝐻𝛿(𝑧	𝐻𝛿(𝑧	PROPN
cana-325	87	50	−	−	PROPN
cana-325	87	51	ℎ𝑠	ℎ𝑠	PROPN
cana-325	87	52	)	)	PUNCT
cana-325	87	53	,	,	PUNCT
cana-325	87	54	𝛼	𝛼	NOUN
cana-325	87	55	=	=	SYM
cana-325	87	56	𝛼𝐻2	𝛼𝐻2	PROPN
cana-325	87	57	𝐾𝑧	𝐾𝑧	PROPN
cana-325	87	58	,	,	PUNCT
cana-325	87	59	𝑤	𝑤	ADP
cana-325	87	60	=	=	SYM
cana-325	87	61	𝑤𝑠𝐻	𝑤𝑠𝐻	PROPN
cana-325	87	62	𝐾𝑧	𝐾𝑧	PROPN
cana-325	87	63	,	,	PUNCT
cana-325	87	64	equation	equation	NOUN
cana-325	87	65	(	(	PUNCT
cana-325	87	66	5	5	NUM
cana-325	87	67	)	)	PUNCT
cana-325	87	68	(	(	PUNCT
cana-325	87	69	on	on	ADP
cana-325	87	70	dropping	drop	VERB
cana-325	87	71	the	the	DET
cana-325	87	72	bars	bar	NOUN
cana-325	87	73	for	for	ADP
cana-325	87	74	convenience	convenience	NOUN
cana-325	87	75	)	)	PUNCT
cana-325	87	76	becomes	become	VERB
cana-325	87	77	𝑍𝑃	𝑍𝑃	PROPN
cana-325	87	78	𝜕𝐶	𝜕𝐶	PROPN
cana-325	87	79	𝜕𝑥	𝜕𝑥	X
cana-325	87	80	−	−	NOUN
cana-325	87	81	𝑤	𝑤	ADP
cana-325	87	82	𝜕𝐶	𝜕𝐶	NOUN
cana-325	87	83	𝜕𝑧	𝜕𝑧	NOUN
cana-325	87	84	=	=	SYM
cana-325	87	85	𝛽	𝛽	NOUN
cana-325	87	86	𝜕2𝐶	𝜕2𝐶	NOUN
cana-325	87	87	𝜕𝑦2	𝜕𝑦2	NOUN
cana-325	87	88	+	+	CCONJ
cana-325	87	89	𝜕2𝐶	𝜕2𝐶	VERB
cana-325	87	90	𝜕𝑧2	𝜕𝑧2	NOUN
cana-325	88	1	−	−	PROPN
cana-325	88	2	𝛼𝐶	𝛼𝐶	NOUN
cana-325	88	3	,	,	PUNCT
cana-325	88	4	𝛽	𝛽	NOUN
cana-325	88	5	=	=	SYM
cana-325	88	6	𝐾𝑦	𝐾𝑦	PROPN
cana-325	88	7	𝐾𝑧	𝐾𝑧	PROPN
cana-325	88	8	(	(	PUNCT
cana-325	88	9	6	6	NUM
cana-325	88	10	)	)	PUNCT
cana-325	88	11	and	and	CCONJ
cana-325	88	12	the	the	DET
cana-325	88	13	given	give	VERB
cana-325	88	14	boundary	boundary	ADJ
cana-325	88	15	conditions	condition	NOUN
cana-325	88	16	reduce	reduce	VERB
cana-325	88	17	to	to	ADP
cana-325	88	18	𝐶(𝑥	𝐶(𝑥	NUM
cana-325	88	19	,	,	PUNCT
cana-325	88	20	𝑦	𝑦	NOUN
cana-325	88	21	,	,	PUNCT
cana-325	88	22	𝑧	𝑧	NOUN
cana-325	88	23	)	)	PUNCT
cana-325	88	24	=	=	SYM
cana-325	88	25	𝑄𝛿(𝑦)𝛿(𝑧−ℎ𝑠	𝑄𝛿(𝑦)𝛿(𝑧−ℎ𝑠	NOUN
cana-325	88	26	)	)	PUNCT
cana-325	88	27	𝑧𝑝	𝑧𝑝	NOUN
cana-325	88	28	,	,	PUNCT
cana-325	89	1	𝑥	𝑥	X
cana-325	89	2	=	=	SYM
cana-325	89	3	0	0	NUM
cana-325	89	4	(	(	PUNCT
cana-325	89	5	7	7	NUM
cana-325	89	6	)	)	PUNCT
cana-325	89	7	𝐶(𝑥	𝐶(𝑥	PROPN
cana-325	89	8	,	,	PUNCT
cana-325	89	9	𝑦	𝑦	NOUN
cana-325	89	10	,	,	PUNCT
cana-325	89	11	𝑧	𝑧	NOUN
cana-325	89	12	)	)	PUNCT
cana-325	89	13	=	=	SYM
cana-325	89	14	0	0	NUM
cana-325	89	15	,	,	PUNCT
cana-325	89	16	𝑦	𝑦	NOUN
cana-325	89	17	→	→	SYM
cana-325	89	18	±∞	±∞	PROPN
cana-325	89	19	(	(	PUNCT
cana-325	89	20	8)	8)	NUM
cana-325	89	21	𝐶(𝑥	𝐶(𝑥	SYM
cana-325	89	22	,	,	PUNCT
cana-325	89	23	𝑦	𝑦	NOUN
cana-325	89	24	,	,	PUNCT
cana-325	89	25	𝑧	𝑧	NOUN
cana-325	89	26	)	)	PUNCT
cana-325	89	27	=	=	SYM
cana-325	89	28	0	0	NUM
cana-325	89	29	,	,	PUNCT
cana-325	89	30	𝑧	𝑧	NOUN
cana-325	89	31	=	=	SYM
cana-325	89	32	0	0	NUM
cana-325	89	33	(	(	PUNCT
cana-325	89	34	9a	9a	NOUN
cana-325	89	35	)	)	PUNCT
cana-325	89	36	𝐶(𝑥	𝐶(𝑥	PROPN
cana-325	89	37	,	,	PUNCT
cana-325	89	38	𝑦	𝑦	NOUN
cana-325	89	39	,	,	PUNCT
cana-325	89	40	𝑧	𝑧	NOUN
cana-325	89	41	)	)	PUNCT
cana-325	89	42	=	=	SYM
cana-325	89	43	0	0	NUM
cana-325	89	44	,	,	PUNCT
cana-325	89	45	𝑧	𝑧	NOUN
cana-325	89	46	=	=	SYM
cana-325	89	47	1	1	NUM
cana-325	89	48	(	(	PUNCT
cana-325	89	49	9b	9b	NUM
cana-325	89	50	)	)	PUNCT
cana-325	89	51	3	3	NUM
cana-325	89	52	.	.	NOUN
cana-325	89	53	method	method	NOUN
cana-325	89	54	of	of	ADP
cana-325	89	55	solution	solution	NOUN
cana-325	89	56	for	for	ADP
cana-325	89	57	the	the	DET
cana-325	89	58	simplicity	simplicity	NOUN
cana-325	89	59	of	of	ADP
cana-325	89	60	problem	problem	NOUN
cana-325	89	61	,	,	PUNCT
cana-325	89	62	we	we	PRON
cana-325	89	63	consider	consider	VERB
cana-325	89	64	p=1/2	p=1/2	NOUN
cana-325	89	65	,	,	PUNCT
cana-325	89	66	and	and	CCONJ
cana-325	89	67	the	the	DET
cana-325	89	68	method	method	NOUN
cana-325	89	69	of	of	ADP
cana-325	89	70	separation	separation	NOUN
cana-325	89	71	of	of	ADP
cana-325	89	72	variables	variable	NOUN
cana-325	89	73	has	have	AUX
cana-325	89	74	been	be	AUX
cana-325	89	75	used	use	VERB
cana-325	89	76	to	to	PART
cana-325	89	77	solve	solve	VERB
cana-325	89	78	equation	equation	NOUN
cana-325	89	79	(	(	PUNCT
cana-325	89	80	6	6	NUM
cana-325	89	81	)	)	PUNCT
cana-325	89	82	.	.	PUNCT
cana-325	90	1	thus	thus	ADV
cana-325	90	2	,	,	PUNCT
cana-325	90	3	we	we	PRON
cana-325	90	4	take	take	VERB
cana-325	90	5	𝐶(𝑥	𝐶(𝑥	ADP
cana-325	90	6	,	,	PUNCT
cana-325	90	7	𝑦	𝑦	NOUN
cana-325	90	8	,	,	PUNCT
cana-325	90	9	𝑧	𝑧	NOUN
cana-325	90	10	)	)	PUNCT
cana-325	90	11	=	=	SYM
cana-325	90	12	𝐿(𝑥)𝑀(𝑦)𝑁(𝑧	𝐿(𝑥)𝑀(𝑦)𝑁(𝑧	NOUN
cana-325	90	13	)	)	PUNCT
cana-325	90	14	(	(	PUNCT
cana-325	90	15	10	10	NUM
cana-325	90	16	)	)	PUNCT
cana-325	90	17	as	as	ADP
cana-325	90	18	trial	trial	NOUN
cana-325	90	19	solution	solution	NOUN
cana-325	90	20	,	,	PUNCT
cana-325	90	21	where	where	SCONJ
cana-325	90	22	𝐿(𝑥	𝐿(𝑥	NOUN
cana-325	90	23	)	)	PUNCT
cana-325	90	24	,	,	PUNCT
cana-325	90	25	𝑀(𝑦	𝑀(𝑦	NUM
cana-325	90	26	)	)	PUNCT
cana-325	90	27	and	and	CCONJ
cana-325	90	28	𝑁(𝑧	𝑁(𝑧	NUM
cana-325	90	29	)	)	PUNCT
cana-325	90	30	are	be	AUX
cana-325	90	31	lonely	lonely	ADJ
cana-325	90	32	functions	function	NOUN
cana-325	90	33	of	of	ADP
cana-325	90	34	𝑥	𝑥	PROPN
cana-325	90	35	,	,	PUNCT
cana-325	90	36	𝑦	𝑦	NOUN
cana-325	90	37	and	and	CCONJ
cana-325	90	38	𝑧	𝑧	PRON
cana-325	90	39	respectively	respectively	ADV
cana-325	90	40	.	.	PUNCT
cana-325	91	1	then	then	ADV
cana-325	91	2	,	,	PUNCT
cana-325	91	3	equation	equation	NOUN
cana-325	91	4	(	(	PUNCT
cana-325	91	5	6	6	NUM
cana-325	91	6	)	)	PUNCT
cana-325	91	7	is	be	AUX
cana-325	91	8	reduced	reduce	VERB
cana-325	91	9	to	to	ADP
cana-325	91	10	communications	communication	NOUN
cana-325	91	11	on	on	ADP
cana-325	91	12	applied	apply	VERB
cana-325	91	13	nonlinear	nonlinear	ADJ
cana-325	91	14	analysis	analysis	NOUN
cana-325	91	15	issn	issn	NOUN
cana-325	91	16	:	:	PUNCT
cana-325	91	17	1074	1074	NUM
cana-325	91	18	-	-	PUNCT
cana-325	91	19	133x	133x	NUM
cana-325	91	20	vol	vol	NOUN
cana-325	91	21	30	30	NUM
cana-325	91	22	no	no	NOUN
cana-325	91	23	.	.	NOUN
cana-325	91	24	4	4	NUM
cana-325	91	25	(	(	PUNCT
cana-325	91	26	2023	2023	NUM
cana-325	91	27	)	)	PUNCT
cana-325	91	28	170	170	NUM
cana-325	91	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	91	30	1	1	NUM
cana-325	91	31	𝐿	𝐿	PROPN
cana-325	91	32	𝑑𝐿	𝑑𝐿	NOUN
cana-325	91	33	𝑑𝑥	𝑑𝑥	NOUN
cana-325	91	34	=	=	PUNCT
cana-325	91	35	(	(	PUNCT
cana-325	91	36	𝛽	𝛽	NOUN
cana-325	91	37	𝑀	𝑀	PROPN
cana-325	91	38	𝜕2𝑀	𝜕2𝑀	NOUN
cana-325	91	39	𝜕𝑦2	𝜕𝑦2	ADJ
cana-325	92	1	+	+	CCONJ
cana-325	92	2	1	1	NUM
cana-325	92	3	𝑁	𝑁	PROPN
cana-325	92	4	𝜕2𝑁	𝜕2𝑁	NOUN
cana-325	92	5	𝜕𝑧2	𝜕𝑧2	NOUN
cana-325	92	6	+	+	CCONJ
cana-325	92	7	𝑤	𝑤	ADP
cana-325	92	8	𝑁	𝑁	PROPN
cana-325	92	9	𝜕𝑀	𝜕𝑀	PROPN
cana-325	92	10	𝜕𝑧	𝜕𝑧	NOUN
cana-325	92	11	−	−	NOUN
cana-325	92	12	𝛼	𝛼	NOUN
cana-325	92	13	)	)	PUNCT
cana-325	92	14	𝑧−	𝑧−	NOUN
cana-325	92	15	1	1	NUM
cana-325	92	16	2	2	NUM
cana-325	92	17	=	=	SYM
cana-325	92	18	−𝜆2	−𝜆2	X
cana-325	92	19	(	(	PUNCT
cana-325	92	20	11	11	NUM
cana-325	92	21	)	)	PUNCT
cana-325	92	22	where	where	SCONJ
cana-325	92	23	𝜆2	𝜆2	NOUN
cana-325	92	24	is	be	AUX
cana-325	92	25	a	a	DET
cana-325	92	26	separation	separation	NOUN
cana-325	92	27	constant	constant	ADJ
cana-325	92	28	.	.	PUNCT
cana-325	93	1	to	to	PART
cana-325	93	2	solve	solve	VERB
cana-325	93	3	equation	equation	NOUN
cana-325	93	4	(	(	PUNCT
cana-325	93	5	11	11	NUM
cana-325	93	6	)	)	PUNCT
cana-325	93	7	,	,	PUNCT
cana-325	93	8	we	we	PRON
cana-325	93	9	write	write	VERB
cana-325	93	10	the	the	DET
cana-325	93	11	following	follow	VERB
cana-325	93	12	two	two	NUM
cana-325	93	13	differential	differential	ADJ
cana-325	93	14	equations	equation	NOUN
cana-325	93	15	:	:	PUNCT
cana-325	93	16	1	1	NUM
cana-325	93	17	𝐿	𝐿	PROPN
cana-325	93	18	𝑑𝐿	𝑑𝐿	NOUN
cana-325	93	19	𝑑𝑥	𝑑𝑥	NOUN
cana-325	93	20	=	=	SYM
cana-325	93	21	−𝜆2	−𝜆2	X
cana-325	93	22	(	(	PUNCT
cana-325	93	23	12	12	NUM
cana-325	93	24	)	)	PUNCT
cana-325	93	25	(	(	PUNCT
cana-325	93	26	𝛽	𝛽	NOUN
cana-325	93	27	𝑀	𝑀	PROPN
cana-325	93	28	𝜕2𝑀	𝜕2𝑀	NOUN
cana-325	93	29	𝜕𝑦2	𝜕𝑦2	ADJ
cana-325	93	30	+	+	CCONJ
cana-325	93	31	1	1	NUM
cana-325	93	32	𝑁	𝑁	PROPN
cana-325	93	33	𝜕2𝑁	𝜕2𝑁	NOUN
cana-325	93	34	𝜕𝑧2	𝜕𝑧2	NOUN
cana-325	93	35	+	+	CCONJ
cana-325	93	36	𝑤	𝑤	ADP
cana-325	93	37	𝑁	𝑁	PROPN
cana-325	93	38	𝜕𝑀	𝜕𝑀	PROPN
cana-325	93	39	𝜕𝑧	𝜕𝑧	NOUN
cana-325	93	40	−	−	NOUN
cana-325	93	41	𝛼	𝛼	NOUN
cana-325	93	42	)	)	PUNCT
cana-325	93	43	𝑧−	𝑧−	NOUN
cana-325	93	44	1	1	NUM
cana-325	93	45	2	2	NUM
cana-325	93	46	=	=	SYM
cana-325	93	47	−𝜆2	−𝜆2	X
cana-325	93	48	(	(	PUNCT
cana-325	93	49	13	13	NUM
cana-325	93	50	)	)	PUNCT
cana-325	93	51	the	the	DET
cana-325	93	52	solution	solution	NOUN
cana-325	93	53	of	of	ADP
cana-325	93	54	equation	equation	NOUN
cana-325	93	55	(	(	PUNCT
cana-325	93	56	12	12	NUM
cana-325	93	57	)	)	PUNCT
cana-325	93	58	is	be	AUX
cana-325	93	59	given	give	VERB
cana-325	93	60	by	by	ADP
cana-325	93	61	𝐿(𝑥	𝐿(𝑥	ADP
cana-325	93	62	)	)	PUNCT
cana-325	93	63	=	=	SYM
cana-325	94	1	𝐶1𝑒𝑥𝑝(−𝜆2𝑥	𝐶1𝑒𝑥𝑝(−𝜆2𝑥	X
cana-325	94	2	)	)	PUNCT
cana-325	94	3	(	(	PUNCT
cana-325	94	4	14	14	NUM
cana-325	94	5	)	)	PUNCT
cana-325	94	6	where	where	SCONJ
cana-325	94	7	c1	c1	PROPN
cana-325	94	8	is	be	AUX
cana-325	94	9	an	an	DET
cana-325	94	10	arbitrary	arbitrary	ADJ
cana-325	94	11	constant	constant	NOUN
cana-325	94	12	of	of	ADP
cana-325	94	13	integration	integration	NOUN
cana-325	94	14	.	.	PUNCT
cana-325	95	1	in	in	ADP
cana-325	95	2	order	order	NOUN
cana-325	95	3	to	to	PART
cana-325	95	4	find	find	VERB
cana-325	95	5	a	a	DET
cana-325	95	6	solution	solution	NOUN
cana-325	95	7	of	of	ADP
cana-325	95	8	equation	equation	NOUN
cana-325	95	9	(	(	PUNCT
cana-325	95	10	13	13	NUM
cana-325	95	11	)	)	PUNCT
cana-325	95	12	,	,	PUNCT
cana-325	95	13	the	the	DET
cana-325	95	14	method	method	NOUN
cana-325	95	15	of	of	ADP
cana-325	95	16	separation	separation	NOUN
cana-325	95	17	of	of	ADP
cana-325	95	18	variables	variable	NOUN
cana-325	95	19	is	be	AUX
cana-325	95	20	applied	apply	VERB
cana-325	95	21	once	once	ADV
cana-325	95	22	again	again	ADV
cana-325	95	23	,	,	PUNCT
cana-325	95	24	and	and	CCONJ
cana-325	95	25	it	it	PRON
cana-325	95	26	is	be	AUX
cana-325	95	27	reduced	reduce	VERB
cana-325	95	28	into	into	ADP
cana-325	95	29	two	two	NUM
cana-325	95	30	ordinary	ordinary	ADJ
cana-325	95	31	differential	differential	ADJ
cana-325	95	32	equations	equation	NOUN
cana-325	95	33	,	,	PUNCT
cana-325	95	34	which	which	PRON
cana-325	95	35	are	be	AUX
cana-325	95	36	given	give	VERB
cana-325	95	37	by	by	ADP
cana-325	95	38	𝑑2𝑀	𝑑2𝑀	NOUN
cana-325	95	39	𝑑𝑦2	𝑑𝑦2	AUX
cana-325	96	1	=	=	SYM
cana-325	96	2	(	(	PUNCT
cana-325	96	3	𝛼+𝜂2)𝑀	𝛼+𝜂2)𝑀	PROPN
cana-325	96	4	𝛽	𝛽	PROPN
cana-325	96	5	(	(	PUNCT
cana-325	96	6	15	15	NUM
cana-325	96	7	)	)	PUNCT
cana-325	96	8	𝑑2𝑁	𝑑2𝑁	NOUN
cana-325	96	9	𝑑𝑧2	𝑑𝑧2	NOUN
cana-325	96	10	+	+	CCONJ
cana-325	96	11	𝑤	𝑤	ADP
cana-325	96	12	𝑑𝑁	𝑑𝑁	ADJ
cana-325	96	13	𝑑𝑧	𝑑𝑧	NOUN
cana-325	96	14	+	+	CCONJ
cana-325	96	15	(	(	PUNCT
cana-325	96	16	𝜆2𝑧	𝜆2𝑧	PROPN
cana-325	96	17	1	1	NUM
cana-325	96	18	2	2	NUM
cana-325	96	19	+	+	NUM
cana-325	96	20	𝜂2	𝜂2	ADJ
cana-325	96	21	)	)	PUNCT
cana-325	97	1	𝑁	𝑁	PROPN
cana-325	97	2	=	=	SYM
cana-325	97	3	0	0	NUM
cana-325	97	4	(	(	PUNCT
cana-325	97	5	16	16	NUM
cana-325	97	6	)	)	PUNCT
cana-325	97	7	where	where	SCONJ
cana-325	97	8	𝜂2	𝜂2	NOUN
cana-325	97	9	is	be	AUX
cana-325	97	10	another	another	DET
cana-325	97	11	separation	separation	NOUN
cana-325	97	12	constant	constant	ADJ
cana-325	97	13	.	.	PUNCT
cana-325	98	1	the	the	DET
cana-325	98	2	solution	solution	NOUN
cana-325	98	3	of	of	ADP
cana-325	98	4	equation	equation	NOUN
cana-325	98	5	(	(	PUNCT
cana-325	98	6	15	15	NUM
cana-325	98	7	)	)	PUNCT
cana-325	98	8	is	be	AUX
cana-325	98	9	given	give	VERB
cana-325	98	10	by	by	ADP
cana-325	98	11	𝑀(𝑦	𝑀(𝑦	NOUN
cana-325	98	12	)	)	PUNCT
cana-325	98	13	=	=	SYM
cana-325	98	14	𝐶2𝑒	𝐶2𝑒	PROPN
cana-325	98	15	−√	−√	VERB
cana-325	99	1	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	99	2	𝛽	𝛽	PROPN
cana-325	99	3	𝑦	𝑦	PROPN
cana-325	99	4	+	+	PROPN
cana-325	99	5	𝐶3𝑒	𝐶3𝑒	PROPN
cana-325	99	6	√	√	PROPN
cana-325	99	7	𝛼+𝜂2	𝛼+𝜂2	PROPN
cana-325	99	8	𝛽	𝛽	PROPN
cana-325	99	9	𝑦	𝑦	PROPN
cana-325	99	10	(	(	PUNCT
cana-325	99	11	17	17	NUM
cana-325	99	12	)	)	PUNCT
cana-325	99	13	where	where	SCONJ
cana-325	99	14	c2	c2	PROPN
cana-325	99	15	and	and	CCONJ
cana-325	99	16	c3	c3	PROPN
cana-325	99	17	are	be	AUX
cana-325	99	18	arbitrary	arbitrary	ADJ
cana-325	99	19	constants	constant	NOUN
cana-325	99	20	of	of	ADP
cana-325	99	21	integration	integration	NOUN
cana-325	99	22	.	.	PUNCT
cana-325	100	1	to	to	PART
cana-325	100	2	find	find	VERB
cana-325	100	3	a	a	DET
cana-325	100	4	solution	solution	NOUN
cana-325	100	5	of	of	ADP
cana-325	100	6	equation	equation	NOUN
cana-325	100	7	(	(	PUNCT
cana-325	100	8	16	16	NUM
cana-325	100	9	)	)	PUNCT
cana-325	100	10	,	,	PUNCT
cana-325	100	11	we	we	PRON
cana-325	100	12	simplify	simplify	VERB
cana-325	100	13	the	the	DET
cana-325	100	14	equation	equation	NOUN
cana-325	100	15	by	by	ADP
cana-325	100	16	using	use	VERB
cana-325	100	17	𝑧	𝑧	X
cana-325	100	18	=	=	PUNCT
cana-325	100	19	𝑆2	𝑆2	PROPN
cana-325	100	20	4	4	NUM
cana-325	100	21	i.e.	i.e.	X
cana-325	100	22	,	,	PUNCT
cana-325	100	23	𝑠	𝑠	PROPN
cana-325	100	24	=	=	SYM
cana-325	100	25	2𝑧	2𝑧	NOUN
cana-325	100	26	1	1	NUM
cana-325	100	27	2	2	NUM
cana-325	100	28	so	so	SCONJ
cana-325	100	29	that	that	DET
cana-325	100	30	𝑑𝑁	𝑑𝑁	ADJ
cana-325	100	31	𝑑𝑧	𝑑𝑧	NOUN
cana-325	100	32	=	=	SYM
cana-325	100	33	2	2	NUM
cana-325	100	34	𝑠	𝑠	NUM
cana-325	100	35	𝑑𝑁	𝑑𝑁	PROPN
cana-325	100	36	𝑑𝑠	𝑑𝑠	NOUN
cana-325	100	37	,	,	PUNCT
cana-325	100	38	and	and	CCONJ
cana-325	100	39	𝑑2𝑁	𝑑2𝑁	VERB
cana-325	100	40	𝑑𝑧2	𝑑𝑧2	NOUN
cana-325	100	41	=	=	SYM
cana-325	100	42	4	4	NUM
cana-325	100	43	𝑠2	𝑠2	NOUN
cana-325	100	44	𝑑2𝑁	𝑑2𝑁	ADP
cana-325	100	45	𝑑𝑠2	𝑑𝑠2	NOUN
cana-325	100	46	−	−	PROPN
cana-325	100	47	4	4	NUM
cana-325	100	48	𝑠3	𝑠3	NOUN
cana-325	100	49	𝑑𝑁	𝑑𝑁	PROPN
cana-325	100	50	𝑑𝑠	𝑑𝑠	ADP
cana-325	100	51	putting	put	VERB
cana-325	100	52	these	these	DET
cana-325	100	53	values	value	NOUN
cana-325	100	54	of	of	ADP
cana-325	100	55	𝑑𝑁	𝑑𝑁	ADJ
cana-325	100	56	𝑑𝑧	𝑑𝑧	NOUN
cana-325	100	57	and	and	CCONJ
cana-325	100	58	𝑑2𝑁	𝑑2𝑁	VERB
cana-325	100	59	𝑑𝑧2	𝑑𝑧2	NOUN
cana-325	100	60	in	in	ADP
cana-325	100	61	equation	equation	NOUN
cana-325	100	62	(	(	PUNCT
cana-325	100	63	16	16	NUM
cana-325	100	64	)	)	PUNCT
cana-325	100	65	,	,	PUNCT
cana-325	100	66	we	we	PRON
cana-325	100	67	have	have	VERB
cana-325	100	68	4	4	NUM
cana-325	100	69	𝑠2	𝑠2	NOUN
cana-325	100	70	𝑑2𝑁	𝑑2𝑁	ADP
cana-325	100	71	𝑑𝑠2	𝑑𝑠2	NOUN
cana-325	100	72	−	−	PROPN
cana-325	100	73	4	4	NUM
cana-325	100	74	𝑠3	𝑠3	NOUN
cana-325	100	75	𝑑𝑁	𝑑𝑁	PROPN
cana-325	100	76	𝑑𝑠	𝑑𝑠	X
cana-325	100	77	+	+	PROPN
cana-325	100	78	2	2	NUM
cana-325	100	79	𝑤	𝑤	PART
cana-325	100	80	𝑠	𝑠	PROPN
cana-325	100	81	𝑑𝑁	𝑑𝑁	NOUN
cana-325	100	82	𝑑𝑠	𝑑𝑠	X
cana-325	100	83	+	+	CCONJ
cana-325	100	84	(	(	PUNCT
cana-325	100	85	𝜆2	𝜆2	NOUN
cana-325	100	86	𝑠	𝑠	PROPN
cana-325	100	87	2	2	NUM
cana-325	100	88	+	+	NUM
cana-325	100	89	𝜂2	𝜂2	ADJ
cana-325	100	90	)	)	PUNCT
cana-325	100	91	𝑁	𝑁	PROPN
cana-325	100	92	=	=	SYM
cana-325	100	93	0	0	NUM
cana-325	100	94	(	(	PUNCT
cana-325	100	95	18	18	NUM
cana-325	100	96	)	)	PUNCT
cana-325	100	97	for	for	ADP
cana-325	100	98	solving	solve	VERB
cana-325	100	99	equation	equation	NOUN
cana-325	100	100	(	(	PUNCT
cana-325	100	101	18	18	NUM
cana-325	100	102	)	)	PUNCT
cana-325	100	103	,	,	PUNCT
cana-325	100	104	we	we	PRON
cana-325	100	105	apply	apply	VERB
cana-325	100	106	frobenius	frobenius	ADJ
cana-325	100	107	series	series	NOUN
cana-325	100	108	method	method	NOUN
cana-325	100	109	,	,	PUNCT
cana-325	100	110	so	so	ADV
cana-325	100	111	let	let	VERB
cana-325	100	112	us	we	PRON
cana-325	100	113	take	take	VERB
cana-325	100	114	𝑁(𝑠	𝑁(𝑠	PRON
cana-325	100	115	)	)	PUNCT
cana-325	100	116	=	=	PUNCT
cana-325	100	117	∑	∑	PUNCT
cana-325	100	118	𝐶𝑛𝑠𝑘+𝑛∞	𝐶𝑛𝑠𝑘+𝑛∞	NUM
cana-325	100	119	𝑛=0	𝑛=0	PROPN
cana-325	100	120	,	,	PUNCT
cana-325	100	121	𝐶0	𝐶0	NOUN
cana-325	100	122	≠	≠	PROPN
cana-325	100	123	0	0	NUM
cana-325	100	124	i.e.	i.e.	X
cana-325	100	125	,	,	PUNCT
cana-325	100	126	𝑁(𝑠	𝑁(𝑠	X
cana-325	100	127	)	)	PUNCT
cana-325	100	128	=	=	PUNCT
cana-325	101	1	𝐶0𝑠𝑘	𝐶0𝑠𝑘	PROPN
cana-325	102	1	+	+	NUM
cana-325	102	2	𝐶1𝑠𝑘+1	𝐶1𝑠𝑘+1	NOUN
cana-325	102	3	+	+	NOUN
cana-325	102	4	𝐶2𝑠𝑘+2	𝐶2𝑠𝑘+2	PROPN
cana-325	102	5	+	+	CCONJ
cana-325	102	6	⋯	⋯	PROPN
cana-325	102	7	(	(	PUNCT
cana-325	102	8	19	19	NUM
cana-325	102	9	)	)	PUNCT
cana-325	102	10	putting	put	VERB
cana-325	102	11	the	the	DET
cana-325	102	12	values	value	NOUN
cana-325	102	13	of	of	ADP
cana-325	102	14	𝑁	𝑁	PROPN
cana-325	102	15	,	,	PUNCT
cana-325	102	16	𝑑𝑁	𝑑𝑁	PROPN
cana-325	102	17	𝑑𝑠	𝑑𝑠	NOUN
cana-325	102	18	,	,	PUNCT
cana-325	102	19	𝑑2𝑁	𝑑2𝑁	VERB
cana-325	102	20	𝑑𝑠2	𝑑𝑠2	NOUN
cana-325	102	21	in	in	ADP
cana-325	102	22	(	(	PUNCT
cana-325	102	23	18	18	NUM
cana-325	102	24	)	)	PUNCT
cana-325	102	25	,	,	PUNCT
cana-325	102	26	it	it	PRON
cana-325	102	27	is	be	AUX
cana-325	102	28	deduced	deduce	VERB
cana-325	102	29	that	that	SCONJ
cana-325	102	30	∑	∑	PUNCT
cana-325	102	31	𝐶𝑛	𝐶𝑛	PROPN
cana-325	102	32	[	[	X
cana-325	102	33	(	(	PUNCT
cana-325	102	34	𝑘	𝑘	X
cana-325	102	35	+	+	NOUN
cana-325	102	36	𝑛)(𝑘	𝑛)(𝑘	NOUN
cana-325	102	37	+	+	NUM
cana-325	102	38	𝑛	𝑛	PRON
cana-325	102	39	−	−	PROPN
cana-325	102	40	1)𝑠𝑘+𝑛−2	1)𝑠𝑘+𝑛−2	NUM
cana-325	102	41	−	−	PROPN
cana-325	102	42	(	(	PUNCT
cana-325	102	43	𝑘	𝑘	X
cana-325	102	44	+	+	NOUN
cana-325	102	45	𝑛)𝑠𝑘+𝑛−2	𝑛)𝑠𝑘+𝑛−2	X
cana-325	102	46	+	+	CCONJ
cana-325	102	47	𝑤	𝑤	SYM
cana-325	102	48	2	2	NUM
cana-325	102	49	(	(	PUNCT
cana-325	102	50	𝑘	𝑘	PROPN
cana-325	102	51	+	+	CCONJ
cana-325	102	52	𝑛)𝑠𝑘+𝑛	𝑛)𝑠𝑘+𝑛	PROPN
cana-325	102	53	+	+	NUM
cana-325	102	54	𝜆2	𝜆2	NOUN
cana-325	102	55	8	8	NUM
cana-325	102	56	𝑠𝑘+𝑛+3	𝑠𝑘+𝑛+3	NOUN
cana-325	102	57	+	+	CCONJ
cana-325	102	58	𝜂2	𝜂2	X
cana-325	102	59	4	4	NUM
cana-325	102	60	𝑠𝑘+𝑛+2	𝑠𝑘+𝑛+2	NOUN
cana-325	102	61	]	]	PUNCT
cana-325	102	62	=	=	SYM
cana-325	102	63	0	0	NUM
cana-325	102	64	∞	∞	NUM
cana-325	102	65	𝑛=0	𝑛=0	PROPN
cana-325	102	66	the	the	DET
cana-325	102	67	indicial	indicial	ADJ
cana-325	102	68	equation	equation	NOUN
cana-325	102	69	for	for	ADP
cana-325	102	70	this	this	PRON
cana-325	102	71	is	be	AUX
cana-325	102	72	given	give	VERB
cana-325	102	73	by	by	ADP
cana-325	102	74	communications	communication	NOUN
cana-325	102	75	on	on	ADP
cana-325	102	76	applied	apply	VERB
cana-325	102	77	nonlinear	nonlinear	ADJ
cana-325	102	78	analysis	analysis	NOUN
cana-325	102	79	issn	issn	NOUN
cana-325	102	80	:	:	PUNCT
cana-325	102	81	1074	1074	NUM
cana-325	102	82	-	-	PUNCT
cana-325	102	83	133x	133x	NUM
cana-325	102	84	vol	vol	NOUN
cana-325	102	85	30	30	NUM
cana-325	102	86	no	no	NOUN
cana-325	102	87	.	.	NOUN
cana-325	102	88	4	4	NUM
cana-325	102	89	(	(	PUNCT
cana-325	102	90	2023	2023	NUM
cana-325	102	91	)	)	PUNCT
cana-325	102	92	171	171	NUM
cana-325	103	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	103	2	𝑘(𝑘	𝑘(𝑘	PROPN
cana-325	103	3	−	−	NOUN
cana-325	104	1	2	2	NUM
cana-325	104	2	)	)	PUNCT
cana-325	104	3	=	=	SYM
cana-325	104	4	0	0	NUM
cana-325	104	5	⇒	⇒	NOUN
cana-325	104	6	𝑘	𝑘	X
cana-325	105	1	=	=	SYM
cana-325	105	2	0	0	NUM
cana-325	105	3	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-325	105	4	2	2	NUM
cana-325	105	5	which	which	PRON
cana-325	105	6	gives	give	VERB
cana-325	105	7	the	the	DET
cana-325	105	8	indicial	indicial	ADJ
cana-325	105	9	roots	root	NOUN
cana-325	105	10	as	as	ADP
cana-325	105	11	𝑘	𝑘	NOUN
cana-325	105	12	=	=	SYM
cana-325	105	13	0	0	NUM
cana-325	105	14	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-325	105	15	2	2	NUM
cana-325	105	16	.	.	PUNCT
cana-325	106	1	the	the	DET
cana-325	106	2	recurrence	recurrence	NOUN
cana-325	106	3	relation	relation	NOUN
cana-325	106	4	is	be	AUX
cana-325	106	5	given	give	VERB
cana-325	106	6	by	by	ADP
cana-325	106	7	𝐶𝑛	𝐶𝑛	PROPN
cana-325	106	8	=	=	SYM
cana-325	106	9	−𝜆2	−𝜆2	X
cana-325	106	10	8	8	NUM
cana-325	106	11	𝐶𝑛−5−	𝐶𝑛−5−	PUNCT
cana-325	106	12	𝜂2	𝜂2	VERB
cana-325	106	13	4	4	NUM
cana-325	106	14	𝐶𝑛−4−	𝐶𝑛−4−	NOUN
cana-325	106	15	𝑤	𝑤	ADP
cana-325	106	16	2	2	NUM
cana-325	106	17	𝐶𝑛−2(𝑘+𝑛−2	𝐶𝑛−2(𝑘+𝑛−2	NOUN
cana-325	106	18	)	)	PUNCT
cana-325	106	19	(	(	PUNCT
cana-325	106	20	𝑘+𝑛)(𝑘+𝑛−2	𝑘+𝑛)(𝑘+𝑛−2	PROPN
cana-325	106	21	)	)	PUNCT
cana-325	106	22	(	(	PUNCT
cana-325	106	23	20	20	X
cana-325	106	24	)	)	PUNCT
cana-325	106	25	values	value	NOUN
cana-325	106	26	of	of	ADP
cana-325	106	27	constants	constant	NOUN
cana-325	106	28	can	can	AUX
cana-325	106	29	be	be	AUX
cana-325	106	30	obtained	obtain	VERB
cana-325	106	31	by	by	ADP
cana-325	106	32	using	use	VERB
cana-325	106	33	equation	equation	NOUN
cana-325	106	34	(	(	PUNCT
cana-325	106	35	20	20	NUM
cana-325	106	36	)	)	PUNCT
cana-325	106	37	as	as	SCONJ
cana-325	106	38	follows	follow	VERB
cana-325	106	39	:	:	PUNCT
cana-325	106	40	for	for	ADP
cana-325	106	41	𝑛	𝑛	NOUN
cana-325	106	42	=	=	SYM
cana-325	106	43	1	1	NUM
cana-325	106	44	,	,	PUNCT
cana-325	106	45	we	we	PRON
cana-325	106	46	get	get	VERB
cana-325	106	47	𝐶1	𝐶1	NOUN
cana-325	106	48	=	=	SYM
cana-325	106	49	0	0	NUM
cana-325	106	50	for	for	ADP
cana-325	106	51	𝑛	𝑛	NOUN
cana-325	106	52	=	=	SYM
cana-325	106	53	2	2	NUM
cana-325	106	54	,	,	PUNCT
cana-325	106	55	we	we	PRON
cana-325	106	56	get	get	VERB
cana-325	106	57	𝐶2	𝐶2	ADJ
cana-325	106	58	=	=	PUNCT
cana-325	107	1	−	−	PROPN
cana-325	107	2	𝑤𝐶0	𝑤𝐶0	PROPN
cana-325	107	3	2(𝑘+2	2(𝑘+2	NUM
cana-325	107	4	)	)	PUNCT
cana-325	107	5	for	for	ADP
cana-325	107	6	𝑛	𝑛	NOUN
cana-325	107	7	=	=	SYM
cana-325	107	8	3	3	NUM
cana-325	107	9	,	,	PUNCT
cana-325	107	10	we	we	PRON
cana-325	107	11	get	get	VERB
cana-325	107	12	𝐶3	𝐶3	NOUN
cana-325	107	13	=	=	NOUN
cana-325	107	14	0	0	NUM
cana-325	107	15	for	for	ADP
cana-325	107	16	𝑛	𝑛	NOUN
cana-325	107	17	=	=	SYM
cana-325	107	18	4	4	NUM
cana-325	107	19	,	,	PUNCT
cana-325	107	20	we	we	PRON
cana-325	107	21	get	get	VERB
cana-325	107	22	𝐶4	𝐶4	NOUN
cana-325	107	23	=	=	PUNCT
cana-325	107	24	−	−	PROPN
cana-325	107	25	𝜂2	𝜂2	VERB
cana-325	107	26	4	4	NUM
cana-325	107	27	𝐶0	𝐶0	NOUN
cana-325	107	28	(	(	PUNCT
cana-325	107	29	𝑘+4)(𝑘+2	𝑘+4)(𝑘+2	NOUN
cana-325	107	30	)	)	PUNCT
cana-325	107	31	−	−	ADP
cana-325	107	32	𝑤	𝑤	ADP
cana-325	107	33	2	2	NUM
cana-325	107	34	𝐶2	𝐶2	X
cana-325	107	35	(	(	PUNCT
cana-325	107	36	𝑘+4	𝑘+4	NOUN
cana-325	107	37	)	)	PUNCT
cana-325	107	38	for	for	ADP
cana-325	107	39	𝑛	𝑛	NOUN
cana-325	107	40	=	=	SYM
cana-325	107	41	5	5	NUM
cana-325	107	42	,	,	PUNCT
cana-325	107	43	we	we	PRON
cana-325	107	44	get	get	VERB
cana-325	107	45	𝐶5	𝐶5	NOUN
cana-325	107	46	=	=	PUNCT
cana-325	108	1	−𝜆2	−𝜆2	PROPN
cana-325	108	2	8	8	NUM
cana-325	108	3	𝐶0	𝐶0	NOUN
cana-325	108	4	(	(	PUNCT
cana-325	108	5	𝑘+5)(𝑘+3	𝑘+5)(𝑘+3	NOUN
cana-325	108	6	)	)	PUNCT
cana-325	108	7	for	for	ADP
cana-325	108	8	𝑛	𝑛	NOUN
cana-325	108	9	=	=	SYM
cana-325	108	10	6	6	NUM
cana-325	108	11	,	,	PUNCT
cana-325	108	12	we	we	PRON
cana-325	108	13	get	get	VERB
cana-325	108	14	𝐶6	𝐶6	NOUN
cana-325	108	15	=	=	SYM
cana-325	108	16	−	−	PROPN
cana-325	108	17	𝜂2	𝜂2	NOUN
cana-325	108	18	4	4	NUM
cana-325	108	19	𝐶2	𝐶2	ADJ
cana-325	108	20	(	(	PUNCT
cana-325	108	21	𝑘+6)(𝑘+4	𝑘+6)(𝑘+4	NOUN
cana-325	108	22	)	)	PUNCT
cana-325	108	23	−	−	NOUN
cana-325	108	24	𝑤	𝑤	SYM
cana-325	108	25	2	2	NUM
cana-325	108	26	𝐶4	𝐶4	NOUN
cana-325	108	27	(	(	PUNCT
cana-325	108	28	𝑘+6	𝑘+6	NOUN
cana-325	108	29	)	)	PUNCT
cana-325	108	30	for	for	ADP
cana-325	108	31	𝑛	𝑛	NOUN
cana-325	108	32	=	=	SYM
cana-325	108	33	7	7	NUM
cana-325	108	34	,	,	PUNCT
cana-325	108	35	we	we	PRON
cana-325	108	36	get	get	VERB
cana-325	108	37	𝐶7	𝐶7	NOUN
cana-325	109	1	=	=	SYM
cana-325	109	2	−𝜆2	−𝜆2	X
cana-325	109	3	8	8	NUM
cana-325	109	4	𝐶2	𝐶2	X
cana-325	109	5	(	(	PUNCT
cana-325	109	6	𝑘+7)(𝑘+5	𝑘+7)(𝑘+5	PROPN
cana-325	109	7	)	)	PUNCT
cana-325	109	8	−	−	ADP
cana-325	109	9	𝑤	𝑤	ADP
cana-325	109	10	2	2	NUM
cana-325	109	11	𝐶5	𝐶5	NOUN
cana-325	109	12	(	(	PUNCT
cana-325	109	13	𝑘+7	𝑘+7	NOUN
cana-325	109	14	)	)	PUNCT
cana-325	109	15	,	,	PUNCT
cana-325	109	16	etc	etc	X
cana-325	109	17	.	.	X
cana-325	109	18	thus	thus	ADV
cana-325	109	19	,	,	PUNCT
cana-325	109	20	for	for	ADP
cana-325	109	21	k=0	k=0	PROPN
cana-325	109	22	,	,	PUNCT
cana-325	109	23	we	we	PRON
cana-325	109	24	have	have	VERB
cana-325	109	25	𝐶2	𝐶2	ADJ
cana-325	110	1	=	=	SYM
cana-325	110	2	−𝑤𝐶0	−𝑤𝐶0	NOUN
cana-325	110	3	2.2	2.2	NUM
cana-325	110	4	,	,	PUNCT
cana-325	110	5	𝐶4	𝐶4	NOUN
cana-325	110	6	=	=	SYM
cana-325	110	7	−	−	PROPN
cana-325	110	8	𝜂2	𝜂2	VERB
cana-325	110	9	4	4	NUM
cana-325	110	10	𝐶0	𝐶0	NOUN
cana-325	110	11	4.2	4.2	NUM
cana-325	110	12	−	−	NOUN
cana-325	110	13	𝑤	𝑤	SYM
cana-325	110	14	2	2	NUM
cana-325	110	15	𝐶2	𝐶2	NUM
cana-325	110	16	4	4	NUM
cana-325	110	17	,	,	PUNCT
cana-325	110	18	𝐶5	𝐶5	NOUN
cana-325	110	19	=	=	PUNCT
cana-325	110	20	−𝜆2	−𝜆2	PROPN
cana-325	110	21	8	8	NUM
cana-325	110	22	𝐶0	𝐶0	PROPN
cana-325	110	23	5.3	5.3	NUM
cana-325	110	24	,	,	PUNCT
cana-325	110	25	𝐶6	𝐶6	X
cana-325	110	26	=	=	SYM
cana-325	110	27	−	−	PROPN
cana-325	110	28	𝜂2	𝜂2	NOUN
cana-325	110	29	4	4	NUM
cana-325	110	30	𝐶2	𝐶2	NOUN
cana-325	110	31	6.4	6.4	NUM
cana-325	110	32	−	−	NOUN
cana-325	110	33	𝑤	𝑤	SYM
cana-325	110	34	2	2	NUM
cana-325	110	35	𝐶4	𝐶4	NOUN
cana-325	110	36	6	6	NUM
cana-325	110	37	,	,	PUNCT
cana-325	110	38	𝐶7	𝐶7	X
cana-325	111	1	=	=	SYM
cana-325	111	2	−𝜆2	−𝜆2	X
cana-325	111	3	8	8	NUM
cana-325	111	4	𝐶2	𝐶2	NUM
cana-325	111	5	7.5	7.5	NUM
cana-325	111	6	−	−	NOUN
cana-325	111	7	𝑤	𝑤	SYM
cana-325	111	8	2	2	NUM
cana-325	111	9	𝐶5	𝐶5	ADP
cana-325	111	10	7	7	NUM
cana-325	111	11	,	,	PUNCT
cana-325	111	12	etc	etc	X
cana-325	111	13	.	.	X
cana-325	111	14	and	and	CCONJ
cana-325	111	15	for	for	ADP
cana-325	111	16	k=2,we	k=2,we	PROPN
cana-325	111	17	have	have	VERB
cana-325	111	18	𝐶2	𝐶2	ADJ
cana-325	111	19	=	=	SYM
cana-325	111	20	−𝑤𝐶0	−𝑤𝐶0	NOUN
cana-325	111	21	2.4	2.4	NUM
cana-325	111	22	,	,	PUNCT
cana-325	111	23	𝐶4	𝐶4	NOUN
cana-325	111	24	=	=	SYM
cana-325	111	25	−	−	PROPN
cana-325	111	26	𝜂2	𝜂2	VERB
cana-325	111	27	4	4	NUM
cana-325	111	28	𝐶0	𝐶0	NOUN
cana-325	111	29	6.4	6.4	NUM
cana-325	111	30	−	−	NOUN
cana-325	111	31	𝑤	𝑤	SYM
cana-325	111	32	2	2	NUM
cana-325	111	33	𝐶2	𝐶2	NUM
cana-325	111	34	6	6	NUM
cana-325	111	35	,	,	PUNCT
cana-325	111	36	𝐶5	𝐶5	NOUN
cana-325	111	37	=	=	PUNCT
cana-325	111	38	−𝜆2	−𝜆2	PROPN
cana-325	111	39	8	8	NUM
cana-325	111	40	𝐶0	𝐶0	PROPN
cana-325	111	41	7.5	7.5	NUM
cana-325	111	42	,	,	PUNCT
cana-325	111	43	𝐶6	𝐶6	X
cana-325	111	44	=	=	SYM
cana-325	111	45	−	−	PROPN
cana-325	111	46	𝜂2	𝜂2	NOUN
cana-325	111	47	4	4	NUM
cana-325	111	48	𝐶2	𝐶2	NOUN
cana-325	111	49	8.6	8.6	NUM
cana-325	111	50	−	−	NOUN
cana-325	111	51	𝑤	𝑤	SYM
cana-325	111	52	2	2	NUM
cana-325	111	53	𝐶4	𝐶4	NOUN
cana-325	111	54	8	8	NUM
cana-325	111	55	,	,	PUNCT
cana-325	111	56	𝐶7	𝐶7	X
cana-325	112	1	=	=	SYM
cana-325	112	2	−𝜆2	−𝜆2	X
cana-325	112	3	8	8	NUM
cana-325	112	4	𝐶2	𝐶2	PROPN
cana-325	112	5	9.7	9.7	NUM
cana-325	112	6	−	−	NOUN
cana-325	112	7	𝑤	𝑤	SYM
cana-325	112	8	2	2	NUM
cana-325	112	9	𝐶5	𝐶5	ADP
cana-325	112	10	9	9	NUM
cana-325	112	11	,	,	PUNCT
cana-325	112	12	etc	etc	X
cana-325	112	13	.	.	X
cana-325	113	1	putting	put	VERB
cana-325	113	2	these	these	DET
cana-325	113	3	values	value	NOUN
cana-325	113	4	of	of	ADP
cana-325	113	5	constants	constant	NOUN
cana-325	113	6	in	in	ADP
cana-325	113	7	(	(	PUNCT
cana-325	113	8	19	19	NUM
cana-325	113	9	)	)	PUNCT
cana-325	113	10	,	,	PUNCT
cana-325	113	11	we	we	PRON
cana-325	113	12	can	can	AUX
cana-325	113	13	find	find	VERB
cana-325	113	14	the	the	DET
cana-325	113	15	solution	solution	NOUN
cana-325	113	16	of	of	ADP
cana-325	113	17	(	(	PUNCT
cana-325	113	18	16	16	NUM
cana-325	113	19	)	)	PUNCT
cana-325	113	20	in	in	ADP
cana-325	113	21	the	the	DET
cana-325	113	22	following	follow	VERB
cana-325	113	23	form	form	NOUN
cana-325	113	24	:	:	PUNCT
cana-325	113	25	𝑁(𝑧	𝑁(𝑧	NUM
cana-325	113	26	)	)	PUNCT
cana-325	114	1	=	=	SYM
cana-325	114	2	𝑘2	𝑘2	PROPN
cana-325	115	1	[	[	X
cana-325	115	2	4𝑧	4𝑧	NOUN
cana-325	115	3	−	−	X
cana-325	115	4	2𝑤𝑧2	2𝑤𝑧2	NUM
cana-325	115	5	−	−	ADP
cana-325	115	6	0.665𝑧3(−𝑤2	0.665𝑧3(−𝑤2	NUM
cana-325	115	7	+	+	CCONJ
cana-325	115	8	𝜂2	𝜂2	ADJ
cana-325	115	9	)	)	PUNCT
cana-325	115	10	−	−	PROPN
cana-325	115	11	0.45696𝑧	0.45696𝑧	NOUN
cana-325	115	12	7	7	NUM
cana-325	115	13	2𝜆2	2𝜆2	NUM
cana-325	115	14	−	−	NOUN
cana-325	115	15	0.16665𝑧4𝑤3	0.16665𝑧4𝑤3	PUNCT
cana-325	116	1	+	+	CCONJ
cana-325	117	1	0.333𝜂2𝑤𝑧4	0.333𝜂2𝑤𝑧4	NUM
cana-325	117	2	+	+	CCONJ
cana-325	117	3	0.228𝑧9/2𝜆2𝑤+	0.228𝑧9/2𝜆2𝑤+	PROPN
cana-325	117	4	.	.	PUNCT
cana-325	117	5	…	…	PUNCT
cana-325	117	6	…	…	PUNCT
cana-325	117	7	…	…	PUNCT
cana-325	117	8	…	…	PUNCT
cana-325	117	9	…	…	PUNCT
cana-325	117	10	…	…	PUNCT
cana-325	117	11	…	…	PUNCT
cana-325	117	12	]	]	X
cana-325	117	13	(	(	PUNCT
cana-325	117	14	21	21	NUM
cana-325	117	15	)	)	PUNCT
cana-325	117	16	the	the	DET
cana-325	117	17	above	above	ADV
cana-325	117	18	is	be	AUX
cana-325	117	19	obtained	obtain	VERB
cana-325	117	20	since	since	SCONJ
cana-325	117	21	𝑘1=0	𝑘1=0	PROPN
cana-325	117	22	after	after	ADP
cana-325	117	23	using	use	VERB
cana-325	117	24	boundary	boundary	ADJ
cana-325	117	25	condition	condition	NOUN
cana-325	117	26	9(a	9(a	NUM
cana-325	117	27	)	)	PUNCT
cana-325	117	28	.	.	PUNCT
cana-325	118	1	again	again	ADV
cana-325	118	2	from	from	ADP
cana-325	118	3	,	,	PUNCT
cana-325	118	4	the	the	DET
cana-325	118	5	boundary	boundary	ADJ
cana-325	118	6	condition	condition	NOUN
cana-325	118	7	9(b	9(b	NUM
cana-325	118	8	)	)	PUNCT
cana-325	118	9	,	,	PUNCT
cana-325	118	10	we	we	PRON
cana-325	118	11	get	get	VERB
cana-325	118	12	the	the	DET
cana-325	118	13	eigen	eigen	PROPN
cana-325	118	14	value	value	NOUN
cana-325	118	15	equation	equation	NOUN
cana-325	118	16	in	in	ADP
cana-325	118	17	the	the	DET
cana-325	118	18	following	follow	VERB
cana-325	118	19	form	form	NOUN
cana-325	118	20	:	:	PUNCT
cana-325	118	21	4	4	NUM
cana-325	118	22	−	−	NOUN
cana-325	118	23	2𝑤	2𝑤	NUM
cana-325	118	24	−	−	NOUN
cana-325	118	25	0.665(−𝑤2	0.665(−𝑤2	X
cana-325	119	1	+	+	CCONJ
cana-325	119	2	𝜂𝑚	𝜂𝑚	ADP
cana-325	119	3	2	2	NUM
cana-325	119	4	)	)	PUNCT
cana-325	119	5	−	−	NOUN
cana-325	119	6	0.45696𝜆𝑚	0.45696𝜆𝑚	NUM
cana-325	119	7	2	2	NUM
cana-325	119	8	−	−	NOUN
cana-325	119	9	0.16665𝑤3	0.16665𝑤3	NOUN
cana-325	120	1	+	+	CCONJ
cana-325	120	2	0.3333𝑤𝜂2	0.3333𝑤𝜂2	NOUN
cana-325	120	3	𝑚	𝑚	X
cana-325	120	4	+	+	NOUN
cana-325	120	5	0.228𝑤𝜆2	0.228𝑤𝜆2	NUM
cana-325	120	6	𝑚+	𝑚+	X
cana-325	120	7	.	.	PUNCT
cana-325	120	8	…	…	PUNCT
cana-325	120	9	…	…	PUNCT
cana-325	120	10	…	…	PUNCT
cana-325	120	11	…	…	PUNCT
cana-325	120	12	…	…	PUNCT
cana-325	120	13	…	…	PUNCT
cana-325	120	14	=	=	SYM
cana-325	120	15	0	0	NUM
cana-325	120	16	(	(	PUNCT
cana-325	120	17	22	22	NUM
cana-325	120	18	)	)	PUNCT
cana-325	120	19	since	since	SCONJ
cana-325	120	20	the	the	DET
cana-325	120	21	above	above	ADJ
cana-325	120	22	equation	equation	NOUN
cana-325	120	23	is	be	AUX
cana-325	120	24	uniformly	uniformly	ADV
cana-325	120	25	convergent	convergent	NOUN
cana-325	120	26	in	in	ADP
cana-325	120	27	[	[	X
cana-325	120	28	0	0	NUM
cana-325	120	29	,	,	PUNCT
cana-325	120	30	1	1	NUM
cana-325	120	31	]	]	PUNCT
cana-325	120	32	for	for	ADP
cana-325	120	33	𝜆2	𝜆2	NOUN
cana-325	120	34	𝑚	𝑚	NOUN
cana-325	120	35	≤	≤	NUM
cana-325	120	36	𝜂2	𝜂2	NOUN
cana-325	120	37	𝑚	𝑚	NOUN
cana-325	120	38	,	,	PUNCT
cana-325	120	39	therefore	therefore	ADV
cana-325	120	40	,	,	PUNCT
cana-325	120	41	we	we	PRON
cana-325	120	42	take	take	VERB
cana-325	120	43	the	the	DET
cana-325	120	44	value	value	NOUN
cana-325	120	45	of	of	ADP
cana-325	120	46	separation	separation	NOUN
cana-325	120	47	constants	constant	NOUN
cana-325	120	48	so	so	SCONJ
cana-325	120	49	as	as	SCONJ
cana-325	120	50	𝜆2	𝜆2	NOUN
cana-325	120	51	𝑚/𝜂2	𝑚/𝜂2	NOUN
cana-325	120	52	𝑚	𝑚	NOUN
cana-325	120	53	≤	≤	NUM
cana-325	120	54	1	1	NUM
cana-325	120	55	.	.	PUNCT
cana-325	121	1	now	now	ADV
cana-325	121	2	,	,	PUNCT
cana-325	121	3	applying	apply	VERB
cana-325	121	4	the	the	DET
cana-325	121	5	boundary	boundary	ADJ
cana-325	121	6	condition	condition	NOUN
cana-325	121	7	(	(	PUNCT
cana-325	121	8	8)	8)	NUM
cana-325	121	9	in	in	ADP
cana-325	121	10	(	(	PUNCT
cana-325	121	11	17	17	NUM
cana-325	121	12	)	)	PUNCT
cana-325	121	13	,	,	PUNCT
cana-325	121	14	the	the	DET
cana-325	121	15	solution	solution	NOUN
cana-325	121	16	m(y	m(y	NOUN
cana-325	121	17	)	)	PUNCT
cana-325	121	18	is	be	AUX
cana-325	121	19	obtained	obtain	VERB
cana-325	121	20	as	as	ADP
cana-325	121	21	𝑀(𝑦	𝑀(𝑦	NOUN
cana-325	121	22	)	)	PUNCT
cana-325	122	1	=	=	NOUN
cana-325	122	2	𝐶4	𝐶4	NOUN
cana-325	123	1	[	[	X
cana-325	123	2	𝐻(𝑦)𝑒	𝐻(𝑦)𝑒	ADP
cana-325	123	3	−√	−√	NOUN
cana-325	123	4	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	123	5	𝛽	𝛽	PROPN
cana-325	123	6	𝑦	𝑦	NOUN
cana-325	123	7	+	+	NUM
cana-325	123	8	𝐻(−𝑦)𝑒	𝐻(−𝑦)𝑒	NOUN
cana-325	123	9	√	√	ADP
cana-325	123	10	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	123	11	𝛽	𝛽	PROPN
cana-325	123	12	𝑦	𝑦	X
cana-325	123	13	]	]	X
cana-325	123	14	(	(	PUNCT
cana-325	123	15	23	23	NUM
cana-325	123	16	)	)	PUNCT
cana-325	123	17	communications	communication	NOUN
cana-325	123	18	on	on	ADP
cana-325	123	19	applied	apply	VERB
cana-325	123	20	nonlinear	nonlinear	ADJ
cana-325	123	21	analysis	analysis	NOUN
cana-325	123	22	issn	issn	NOUN
cana-325	123	23	:	:	PUNCT
cana-325	123	24	1074	1074	NUM
cana-325	123	25	-	-	PUNCT
cana-325	123	26	133x	133x	NUM
cana-325	123	27	vol	vol	NOUN
cana-325	123	28	30	30	NUM
cana-325	123	29	no	no	NOUN
cana-325	123	30	.	.	NOUN
cana-325	123	31	4	4	NUM
cana-325	123	32	(	(	PUNCT
cana-325	123	33	2023	2023	NUM
cana-325	123	34	)	)	PUNCT
cana-325	123	35	172	172	NUM
cana-325	123	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	123	37	where	where	SCONJ
cana-325	123	38	c4	c4	NOUN
cana-325	123	39	is	be	AUX
cana-325	123	40	an	an	DET
cana-325	123	41	arbitrary	arbitrary	ADJ
cana-325	123	42	constant	constant	ADJ
cana-325	123	43	and	and	CCONJ
cana-325	123	44	h(y	h(y	NOUN
cana-325	123	45	)	)	PUNCT
cana-325	123	46	is	be	AUX
cana-325	123	47	the	the	DET
cana-325	123	48	unit	unit	NOUN
cana-325	123	49	step	step	NOUN
cana-325	123	50	function	function	NOUN
cana-325	123	51	which	which	PRON
cana-325	123	52	is	be	AUX
cana-325	123	53	given	give	VERB
cana-325	123	54	by	by	ADP
cana-325	123	55	𝐻(𝑦	𝐻(𝑦	PRON
cana-325	123	56	)	)	PUNCT
cana-325	123	57	=	=	PRON
cana-325	123	58	{	{	PUNCT
cana-325	123	59	0	0	NUM
cana-325	123	60	,	,	PUNCT
cana-325	123	61	𝑦	𝑦	NOUN
cana-325	123	62	<	<	X
cana-325	123	63	0	0	NUM
cana-325	123	64	1	1	NUM
cana-325	123	65	,	,	PUNCT
cana-325	123	66	𝑦	𝑦	NOUN
cana-325	123	67	>	>	X
cana-325	123	68	0	0	PUNCT
cana-325	124	1	(	(	PUNCT
cana-325	124	2	24	24	NUM
cana-325	124	3	)	)	PUNCT
cana-325	124	4	substituting	substitute	VERB
cana-325	124	5	the	the	DET
cana-325	124	6	values	value	NOUN
cana-325	124	7	of	of	ADP
cana-325	124	8	l(x	l(x	PROPN
cana-325	124	9	)	)	PUNCT
cana-325	124	10	,	,	PUNCT
cana-325	124	11	m(y	m(y	NOUN
cana-325	124	12	)	)	PUNCT
cana-325	124	13	and	and	CCONJ
cana-325	124	14	n(z	n(z	NOUN
cana-325	124	15	)	)	PUNCT
cana-325	124	16	from	from	ADP
cana-325	124	17	equations	equation	NOUN
cana-325	124	18	(	(	PUNCT
cana-325	124	19	14),(23	14),(23	NOUN
cana-325	124	20	)	)	PUNCT
cana-325	124	21	and	and	CCONJ
cana-325	124	22	(	(	PUNCT
cana-325	124	23	21	21	NUM
cana-325	124	24	)	)	PUNCT
cana-325	124	25	in	in	ADP
cana-325	124	26	(	(	PUNCT
cana-325	124	27	10	10	NUM
cana-325	124	28	)	)	PUNCT
cana-325	124	29	,	,	PUNCT
cana-325	124	30	the	the	DET
cana-325	124	31	value	value	NOUN
cana-325	124	32	of	of	ADP
cana-325	124	33	concentration	concentration	NOUN
cana-325	124	34	c	c	NOUN
cana-325	124	35	(	(	PUNCT
cana-325	124	36	x	x	X
cana-325	124	37	,	,	PUNCT
cana-325	124	38	y	y	PROPN
cana-325	124	39	,	,	PUNCT
cana-325	124	40	z	z	NOUN
cana-325	124	41	)	)	PUNCT
cana-325	124	42	is	be	AUX
cana-325	124	43	given	give	VERB
cana-325	124	44	by	by	ADP
cana-325	124	45	𝐶(𝑥	𝐶(𝑥	ADP
cana-325	124	46	,	,	PUNCT
cana-325	124	47	𝑦	𝑦	NOUN
cana-325	124	48	,	,	PUNCT
cana-325	124	49	𝑧	𝑧	NOUN
cana-325	124	50	)	)	PUNCT
cana-325	124	51	=	=	PUNCT
cana-325	124	52	∑	∑	PUNCT
cana-325	125	1	[	[	X
cana-325	125	2	𝑘𝑚	𝑘𝑚	X
cana-325	125	3	exp(−𝜆2	exp(−𝜆2	INTJ
cana-325	125	4	𝑚𝑥	𝑚𝑥	PROPN
cana-325	125	5	)	)	PUNCT
cana-325	125	6	{	{	PUNCT
cana-325	125	7	𝐻(𝑦)𝑒	𝐻(𝑦)𝑒	NOUN
cana-325	125	8	−√	−√	NOUN
cana-325	125	9	𝛼+𝜂𝑚	𝛼+𝜂𝑚	VERB
cana-325	125	10	2	2	NUM
cana-325	125	11	𝛽	𝛽	NOUN
cana-325	125	12	𝑦	𝑦	NOUN
cana-325	125	13	+	+	CCONJ
cana-325	125	14	𝐻(−𝑦)𝑒	𝐻(−𝑦)𝑒	NOUN
cana-325	125	15	√	√	ADJ
cana-325	125	16	𝛼+𝜂𝑚	𝛼+𝜂𝑚	NOUN
cana-325	125	17	2	2	NUM
cana-325	125	18	𝛽	𝛽	NOUN
cana-325	125	19	𝑦	𝑦	NOUN
cana-325	125	20	}	}	PUNCT
cana-325	125	21	𝑓𝑚(𝑧)]∞	𝑓𝑚(𝑧)]∞	ADP
cana-325	125	22	𝑚=1	𝑚=1	X
cana-325	125	23	(	(	PUNCT
cana-325	125	24	25	25	NUM
cana-325	125	25	)	)	PUNCT
cana-325	125	26	where	where	SCONJ
cana-325	125	27	without	without	ADP
cana-325	125	28	loss	loss	NOUN
cana-325	125	29	of	of	ADP
cana-325	125	30	generality	generality	NOUN
cana-325	125	31	,	,	PUNCT
cana-325	125	32	it	it	PRON
cana-325	125	33	is	be	AUX
cana-325	125	34	assumed	assume	VERB
cana-325	125	35	that	that	SCONJ
cana-325	125	36	c1	c1	PROPN
cana-325	125	37	=	=	PROPN
cana-325	125	38	c4=	c4=	NOUN
cana-325	125	39	1	1	NUM
cana-325	125	40	and	and	CCONJ
cana-325	125	41	fm	fm	PROPN
cana-325	125	42	(	(	PUNCT
cana-325	125	43	z	z	NOUN
cana-325	125	44	)	)	PUNCT
cana-325	125	45	is	be	AUX
cana-325	125	46	given	give	VERB
cana-325	125	47	by	by	ADP
cana-325	125	48	(	(	PUNCT
cana-325	125	49	21	21	NUM
cana-325	125	50	)	)	PUNCT
cana-325	125	51	.	.	PUNCT
cana-325	126	1	now	now	ADV
cana-325	126	2	,	,	PUNCT
cana-325	126	3	applying	apply	VERB
cana-325	126	4	the	the	DET
cana-325	126	5	boundary	boundary	ADJ
cana-325	126	6	condition	condition	NOUN
cana-325	126	7	(	(	PUNCT
cana-325	126	8	7	7	NUM
cana-325	126	9	)	)	PUNCT
cana-325	126	10	in	in	ADP
cana-325	126	11	(	(	PUNCT
cana-325	126	12	25	25	NUM
cana-325	126	13	)	)	PUNCT
cana-325	126	14	,	,	PUNCT
cana-325	126	15	it	it	PRON
cana-325	126	16	is	be	AUX
cana-325	126	17	obtained	obtain	VERB
cana-325	126	18	that	that	DET
cana-325	126	19	𝑄𝛿(𝑦)𝛿(𝑧	𝑄𝛿(𝑦)𝛿(𝑧	PROPN
cana-325	126	20	−	−	ADP
cana-325	126	21	ℎ	ℎ	PROPN
cana-325	126	22	)	)	PUNCT
cana-325	126	23	=	=	SYM
cana-325	126	24	∑	∑	PUNCT
cana-325	126	25	𝑘𝑚{𝐻(𝑦)𝑒	𝑘𝑚{𝐻(𝑦)𝑒	NOUN
cana-325	126	26	−√	−√	PRON
cana-325	126	27	𝛼+𝜂𝑚	𝛼+𝜂𝑚	NOUN
cana-325	126	28	2	2	NUM
cana-325	126	29	𝛽	𝛽	NOUN
cana-325	126	30	𝑦	𝑦	NOUN
cana-325	126	31	+	+	CCONJ
cana-325	126	32	𝐻(−𝑦)𝑒	𝐻(−𝑦)𝑒	NOUN
cana-325	126	33	√	√	ADJ
cana-325	126	34	𝛼+𝜂𝑚	𝛼+𝜂𝑚	NOUN
cana-325	126	35	2	2	NUM
cana-325	126	36	𝛽	𝛽	NOUN
cana-325	126	37	𝑦	𝑦	NOUN
cana-325	126	38	}	}	PUNCT
cana-325	126	39	𝑓𝑚(𝑧)𝑧	𝑓𝑚(𝑧)𝑧	PROPN
cana-325	126	40	1	1	NUM
cana-325	126	41	2∞	2∞	NUM
cana-325	126	42	𝑚=1	𝑚=1	X
cana-325	126	43	(	(	PUNCT
cana-325	126	44	26	26	NUM
cana-325	126	45	)	)	PUNCT
cana-325	126	46	multiplying	multiplying	NOUN
cana-325	126	47	(	(	PUNCT
cana-325	126	48	26	26	NUM
cana-325	126	49	)	)	PUNCT
cana-325	126	50	by	by	ADP
cana-325	126	51	fn(z	fn(z	NOUN
cana-325	126	52	)	)	PUNCT
cana-325	126	53	and	and	CCONJ
cana-325	126	54	then	then	ADV
cana-325	126	55	integrating	integrate	VERB
cana-325	126	56	w.r.t	w.r.t	NOUN
cana-325	126	57	.	.	PUNCT
cana-325	127	1	z	z	PUNCT
cana-325	128	1	from	from	ADP
cana-325	128	2	0	0	NUM
cana-325	128	3	to	to	ADP
cana-325	128	4	1	1	NUM
cana-325	128	5	and	and	CCONJ
cana-325	128	6	w.r.t	w.r.t	NOUN
cana-325	128	7	.	.	PUNCT
cana-325	129	1	y	y	PROPN
cana-325	129	2	from	from	ADP
cana-325	129	3	-∞	-∞	PROPN
cana-325	129	4	to	to	ADP
cana-325	129	5	∞	∞	NUM
cana-325	129	6	,	,	PUNCT
cana-325	129	7	and	and	CCONJ
cana-325	129	8	using	use	VERB
cana-325	129	9	the	the	DET
cana-325	129	10	following	follow	VERB
cana-325	129	11	properties	property	NOUN
cana-325	129	12	of	of	ADP
cana-325	129	13	dirac	dirac	NOUN
cana-325	129	14	-	-	PUNCT
cana-325	129	15	delta	delta	NOUN
cana-325	129	16	function	function	NOUN
cana-325	129	17	∫	∫	PROPN
cana-325	129	18	𝛿(𝑧	𝛿(𝑧	PROPN
cana-325	129	19	−	−	PROPN
cana-325	129	20	ℎ𝑠)𝑓𝑚(𝑧)𝑑𝑧	ℎ𝑠)𝑓𝑚(𝑧)𝑑𝑧	NOUN
cana-325	129	21	=	=	SYM
cana-325	129	22	1	1	NUM
cana-325	129	23	0	0	NUM
cana-325	129	24	𝑓𝑚(ℎ𝑠	𝑓𝑚(ℎ𝑠	PROPN
cana-325	129	25	)	)	PUNCT
cana-325	129	26	,	,	PUNCT
cana-325	129	27	∫	∫	PROPN
cana-325	129	28	𝛿(𝑦)𝑑𝑦	𝛿(𝑦)𝑑𝑦	PROPN
cana-325	129	29	=	=	NOUN
cana-325	129	30	1	1	NUM
cana-325	129	31	∞	∞	NUM
cana-325	129	32	−∞	−∞	ADP
cana-325	129	33	as	as	ADV
cana-325	129	34	well	well	ADV
cana-325	129	35	as	as	ADP
cana-325	129	36	using	use	VERB
cana-325	129	37	the	the	DET
cana-325	129	38	orthogonality	orthogonality	NOUN
cana-325	129	39	condition	condition	NOUN
cana-325	129	40	of	of	ADP
cana-325	129	41	eigen	eigen	PROPN
cana-325	129	42	functions	function	NOUN
cana-325	129	43	,	,	PUNCT
cana-325	129	44	i.e.∫	i.e.∫	ADP
cana-325	129	45	𝑧	𝑧	PRON
cana-325	129	46	1	1	NUM
cana-325	129	47	2𝑓𝑚(𝑧)𝑓𝑛(𝑧)𝑑𝑧	2𝑓𝑚(𝑧)𝑓𝑛(𝑧)𝑑𝑧	NUM
cana-325	129	48	=	=	SYM
cana-325	129	49	0	0	NUM
cana-325	129	50	𝑖𝑓	𝑖𝑓	ADP
cana-325	129	51	𝑚	𝑚	ADP
cana-325	129	52	≠	≠	PROPN
cana-325	129	53	𝑛	𝑛	DET
cana-325	129	54	1	1	NUM
cana-325	129	55	0	0	NUM
cana-325	129	56	,	,	PUNCT
cana-325	129	57	the	the	DET
cana-325	129	58	constant	constant	ADJ
cana-325	129	59	𝑘𝑚	𝑘𝑚	NOUN
cana-325	129	60	is	be	AUX
cana-325	129	61	obtained	obtain	VERB
cana-325	129	62	as	as	ADP
cana-325	129	63	𝑘𝑚	𝑘𝑚	NOUN
cana-325	129	64	=	=	SYM
cana-325	129	65	√	√	PROPN
cana-325	129	66	𝜂𝑚	𝜂𝑚	ADP
cana-325	129	67	2+𝛼	2+𝛼	NUM
cana-325	129	68	𝛽	𝛽	NOUN
cana-325	129	69	𝑄𝑓𝑚(ℎ𝑠	𝑄𝑓𝑚(ℎ𝑠	PROPN
cana-325	129	70	)	)	PUNCT
cana-325	129	71	2	2	NUM
cana-325	129	72	∫	∫	NOUN
cana-325	129	73	𝑓𝑚	𝑓𝑚	VERB
cana-325	129	74	2(𝑧)𝑧	2(𝑧)𝑧	NUM
cana-325	129	75	1	1	NUM
cana-325	129	76	2⁄	2⁄	NUM
cana-325	129	77	𝑑𝑧	𝑑𝑧	NOUN
cana-325	129	78	1	1	NUM
cana-325	129	79	0	0	NUM
cana-325	129	80	(	(	PUNCT
cana-325	129	81	27	27	NUM
cana-325	129	82	)	)	PUNCT
cana-325	129	83	substituting	substitute	VERB
cana-325	129	84	the	the	DET
cana-325	129	85	value	value	NOUN
cana-325	129	86	of	of	ADP
cana-325	129	87	km	km	NOUN
cana-325	129	88	in	in	ADP
cana-325	129	89	equation	equation	NOUN
cana-325	129	90	(	(	PUNCT
cana-325	129	91	25	25	NUM
cana-325	129	92	)	)	PUNCT
cana-325	129	93	,	,	PUNCT
cana-325	129	94	we	we	PRON
cana-325	129	95	finally	finally	ADV
cana-325	129	96	get	get	VERB
cana-325	129	97	𝐶(𝑥	𝐶(𝑥	ADP
cana-325	129	98	,	,	PUNCT
cana-325	129	99	𝑦	𝑦	NOUN
cana-325	129	100	,	,	PUNCT
cana-325	129	101	𝑧	𝑧	NOUN
cana-325	129	102	)	)	PUNCT
cana-325	130	1	=	=	SYM
cana-325	130	2	∑	∑	PUNCT
cana-325	130	3	[	[	X
cana-325	130	4	𝑄𝑒𝑥𝑝(−𝜆2	𝑄𝑒𝑥𝑝(−𝜆2	X
cana-325	130	5	𝑚𝑥){𝐻(𝑦)𝑒	𝑚𝑥){𝐻(𝑦)𝑒	PRON
cana-325	130	6	−√	−√	VERB
cana-325	131	1	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	131	2	𝑚	𝑚	ADP
cana-325	131	3	𝛽	𝛽	PROPN
cana-325	131	4	𝑦	𝑦	NOUN
cana-325	131	5	+	+	NUM
cana-325	131	6	𝐻(−𝑦)𝑒	𝐻(−𝑦)𝑒	NOUN
cana-325	131	7	√	√	ADP
cana-325	131	8	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	131	9	𝑚	𝑚	ADP
cana-325	131	10	𝛽	𝛽	PROPN
cana-325	131	11	𝑦	𝑦	NOUN
cana-325	131	12	}	}	PUNCT
cana-325	131	13	√	√	PROPN
cana-325	131	14	𝛼+𝜂2	𝛼+𝜂2	NOUN
cana-325	131	15	𝑚	𝑚	PROPN
cana-325	131	16	𝛽	𝛽	PROPN
cana-325	131	17	𝑓𝑚(ℎ𝑠)𝑓𝑚(𝑧	𝑓𝑚(ℎ𝑠)𝑓𝑚(𝑧	PROPN
cana-325	131	18	)	)	PUNCT
cana-325	131	19	2	2	NUM
cana-325	131	20	∫	∫	NOUN
cana-325	131	21	𝑧	𝑧	PROPN
cana-325	131	22	1	1	NUM
cana-325	131	23	2⁄	2⁄	NUM
cana-325	131	24	𝑓𝑚	𝑓𝑚	NOUN
cana-325	131	25	2	2	NUM
cana-325	131	26	(	(	PUNCT
cana-325	131	27	𝑧)𝑑𝑧	𝑧)𝑑𝑧	PROPN
cana-325	131	28	1	1	NUM
cana-325	131	29	0	0	NUM
cana-325	131	30	∞	∞	NUM
cana-325	131	31	𝑚=1	𝑚=1	X
cana-325	131	32	(	(	PUNCT
cana-325	131	33	28	28	NUM
cana-325	131	34	)	)	PUNCT
cana-325	131	35	4	4	NUM
cana-325	131	36	.	.	NOUN
cana-325	132	1	results	result	NOUN
cana-325	132	2	and	and	CCONJ
cana-325	132	3	discussion	discussion	NOUN
cana-325	132	4	we	we	PRON
cana-325	132	5	study	study	VERB
cana-325	132	6	the	the	DET
cana-325	132	7	case	case	NOUN
cana-325	132	8	of	of	ADP
cana-325	132	9	dispersion	dispersion	NOUN
cana-325	132	10	of	of	ADP
cana-325	132	11	air	air	NOUN
cana-325	132	12	pollutants	pollutant	NOUN
cana-325	132	13	emitted	emit	VERB
cana-325	132	14	from	from	ADP
cana-325	132	15	a	a	DET
cana-325	132	16	source	source	NOUN
cana-325	132	17	at	at	ADP
cana-325	132	18	(	(	PUNCT
cana-325	132	19	0,0,hs	0,0,hs	NUM
cana-325	132	20	)	)	PUNCT
cana-325	132	21	,	,	PUNCT
cana-325	132	22	where	where	SCONJ
cana-325	132	23	the	the	DET
cana-325	132	24	wind	wind	NOUN
cana-325	132	25	velocity	velocity	NOUN
cana-325	132	26	is	be	AUX
cana-325	132	27	assumed	assume	VERB
cana-325	132	28	to	to	PART
cana-325	132	29	vary	vary	VERB
cana-325	132	30	with	with	ADP
cana-325	132	31	the	the	DET
cana-325	132	32	power	power	NOUN
cana-325	132	33	of	of	ADP
cana-325	132	34	vertical	vertical	ADJ
cana-325	132	35	height	height	NOUN
cana-325	132	36	z.	z.	PROPN
cana-325	133	1	the	the	DET
cana-325	133	2	dimensionless	dimensionless	NOUN
cana-325	133	3	concentration	concentration	NOUN
cana-325	133	4	is	be	AUX
cana-325	133	5	calculated	calculate	VERB
cana-325	133	6	by	by	ADP
cana-325	133	7	using	use	VERB
cana-325	133	8	(	(	PUNCT
cana-325	133	9	28	28	NUM
cana-325	133	10	)	)	PUNCT
cana-325	133	11	.	.	PUNCT
cana-325	134	1	the	the	DET
cana-325	134	2	dimensionless	dimensionless	ADJ
cana-325	134	3	parametric	parametric	ADJ
cana-325	134	4	values	value	NOUN
cana-325	134	5	used	use	VERB
cana-325	134	6	in	in	ADP
cana-325	134	7	the	the	DET
cana-325	134	8	analysis	analysis	NOUN
cana-325	134	9	are	be	AUX
cana-325	134	10	taken	take	VERB
cana-325	134	11	as	as	SCONJ
cana-325	134	12	follows	follow	VERB
cana-325	134	13	:	:	PUNCT
cana-325	134	14	parameters	parameter	NOUN
cana-325	134	15	α	α	PROPN
cana-325	134	16	𝛽	𝛽	PROPN
cana-325	134	17	hs	hs	PROPN
cana-325	134	18	𝜆	𝜆	PROPN
cana-325	134	19	h	h	NOUN
cana-325	135	1	q	q	PROPN
cana-325	135	2	values	value	VERB
cana-325	135	3	2.0	2.0	NUM
cana-325	135	4	10.0	10.0	NUM
cana-325	135	5	0.2	0.2	NUM
cana-325	135	6	10.0	10.0	NUM
cana-325	135	7	1.0	1.0	NUM
cana-325	135	8	1.0	1.0	NUM
cana-325	135	9	in	in	ADP
cana-325	135	10	order	order	NOUN
cana-325	135	11	to	to	PART
cana-325	135	12	illustrate	illustrate	VERB
cana-325	135	13	the	the	DET
cana-325	135	14	behavior	behavior	NOUN
cana-325	135	15	of	of	ADP
cana-325	135	16	the	the	DET
cana-325	135	17	concentration	concentration	NOUN
cana-325	135	18	profile	profile	NOUN
cana-325	135	19	of	of	ADP
cana-325	135	20	non	non	ADJ
cana-325	135	21	buoyant	buoyant	ADJ
cana-325	135	22	air	air	NOUN
cana-325	135	23	pollutants	pollutant	NOUN
cana-325	135	24	,	,	PUNCT
cana-325	135	25	we	we	PRON
cana-325	135	26	have	have	AUX
cana-325	135	27	displayed	display	VERB
cana-325	135	28	the	the	DET
cana-325	135	29	concentration	concentration	NOUN
cana-325	135	30	distribution	distribution	NOUN
cana-325	135	31	graphically	graphically	ADV
cana-325	135	32	for	for	ADP
cana-325	135	33	variety	variety	NOUN
cana-325	135	34	of	of	ADP
cana-325	135	35	conditions	condition	NOUN
cana-325	135	36	:	:	PUNCT
cana-325	135	37	communications	communication	NOUN
cana-325	135	38	on	on	ADP
cana-325	135	39	applied	apply	VERB
cana-325	135	40	nonlinear	nonlinear	ADJ
cana-325	135	41	analysis	analysis	NOUN
cana-325	135	42	issn	issn	NOUN
cana-325	135	43	:	:	PUNCT
cana-325	135	44	1074	1074	NUM
cana-325	135	45	-	-	PUNCT
cana-325	135	46	133x	133x	NUM
cana-325	135	47	vol	vol	NOUN
cana-325	135	48	30	30	NUM
cana-325	135	49	no	no	NOUN
cana-325	135	50	.	.	NOUN
cana-325	135	51	4	4	NUM
cana-325	135	52	(	(	PUNCT
cana-325	135	53	2023	2023	NUM
cana-325	135	54	)	)	PUNCT
cana-325	135	55	173	173	NUM
cana-325	135	56	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	135	57	in	in	ADP
cana-325	135	58	figure	figure	NOUN
cana-325	135	59	(	(	PUNCT
cana-325	135	60	1	1	NUM
cana-325	135	61	)	)	PUNCT
cana-325	135	62	,	,	PUNCT
cana-325	135	63	we	we	PRON
cana-325	135	64	have	have	AUX
cana-325	135	65	plotted	plot	VERB
cana-325	135	66	the	the	DET
cana-325	135	67	concentration	concentration	NOUN
cana-325	135	68	of	of	ADP
cana-325	135	69	nonbuoyant	nonbuoyant	ADJ
cana-325	135	70	air	air	NOUN
cana-325	135	71	pollutants	pollutant	NOUN
cana-325	135	72	against	against	ADP
cana-325	135	73	the	the	DET
cana-325	135	74	downwind	downwind	ADJ
cana-325	135	75	distance	distance	NOUN
cana-325	135	76	(	(	PUNCT
cana-325	135	77	0	0	NUM
cana-325	135	78	≤	≤	NUM
cana-325	135	79	x	x	SYM
cana-325	135	80	≤	≤	NUM
cana-325	135	81	1	1	NUM
cana-325	135	82	)	)	PUNCT
cana-325	135	83	for	for	ADP
cana-325	135	84	different	different	ADJ
cana-325	135	85	values	value	NOUN
cana-325	135	86	of	of	ADP
cana-325	135	87	vertical	vertical	ADJ
cana-325	135	88	distance	distance	NOUN
cana-325	135	89	(	(	PUNCT
cana-325	135	90	z	z	NOUN
cana-325	135	91	=	=	NUM
cana-325	135	92	0.8	0.8	NUM
cana-325	135	93	,	,	PUNCT
cana-325	135	94	0.5	0.5	NUM
cana-325	135	95	,	,	PUNCT
cana-325	135	96	0.2	0.2	NUM
cana-325	135	97	)	)	PUNCT
cana-325	135	98	keeping	keep	VERB
cana-325	135	99	the	the	DET
cana-325	135	100	crosswind	crosswind	NOUN
cana-325	135	101	distance	distance	NOUN
cana-325	135	102	fixed	fix	VERB
cana-325	135	103	at	at	ADP
cana-325	135	104	±1	±1	NOUN
cana-325	135	105	.	.	PUNCT
cana-325	136	1	the	the	DET
cana-325	136	2	concentration	concentration	NOUN
cana-325	136	3	profiles	profile	NOUN
cana-325	136	4	decrease	decrease	VERB
cana-325	136	5	regularly	regularly	ADV
cana-325	136	6	with	with	ADP
cana-325	136	7	increasing	increase	VERB
cana-325	136	8	downwind	downwind	ADJ
cana-325	136	9	distance	distance	NOUN
cana-325	136	10	.	.	PUNCT
cana-325	137	1	fig	fig	NOUN
cana-325	137	2	1	1	NUM
cana-325	137	3	:	:	PUNCT
cana-325	137	4	dimensionless	dimensionless	NOUN
cana-325	137	5	concentration	concentration	NOUN
cana-325	137	6	c	c	NOUN
cana-325	137	7	(	(	PUNCT
cana-325	137	8	𝑥	𝑥	NOUN
cana-325	137	9	,	,	PUNCT
cana-325	137	10	±0	±0	ADJ
cana-325	137	11	,	,	PUNCT
cana-325	137	12	𝑧	𝑧	PRON
cana-325	137	13	)	)	PUNCT
cana-325	137	14	plotted	plot	VERB
cana-325	137	15	against	against	ADP
cana-325	137	16	downwind	downwind	ADJ
cana-325	137	17	distance	distance	NOUN
cana-325	137	18	𝑥.	𝑥.	VERB
cana-325	137	19	in	in	ADP
cana-325	137	20	figure	figure	NOUN
cana-325	137	21	(	(	PUNCT
cana-325	137	22	2	2	NUM
cana-325	137	23	)	)	PUNCT
cana-325	137	24	,	,	PUNCT
cana-325	137	25	the	the	DET
cana-325	137	26	concentration	concentration	NOUN
cana-325	137	27	of	of	ADP
cana-325	137	28	non	non	ADJ
cana-325	137	29	-	-	ADJ
cana-325	137	30	buoyant	buoyant	ADJ
cana-325	137	31	air	air	NOUN
cana-325	137	32	pollutants	pollutant	NOUN
cana-325	137	33	is	be	AUX
cana-325	137	34	plotted	plot	VERB
cana-325	137	35	with	with	ADP
cana-325	137	36	respect	respect	NOUN
cana-325	137	37	to	to	ADP
cana-325	137	38	downwind	downwind	ADJ
cana-325	137	39	distance	distance	NOUN
cana-325	137	40	(	(	PUNCT
cana-325	137	41	0	0	NUM
cana-325	137	42	≤	≤	NUM
cana-325	137	43	x	x	SYM
cana-325	137	44	≤	≤	NUM
cana-325	137	45	1	1	NUM
cana-325	137	46	)	)	PUNCT
cana-325	137	47	.	.	PUNCT
cana-325	138	1	for	for	ADP
cana-325	138	2	different	different	ADJ
cana-325	138	3	values	value	NOUN
cana-325	138	4	of	of	ADP
cana-325	138	5	crosswind	crosswind	NOUN
cana-325	138	6	distance	distance	NOUN
cana-325	138	7	(	(	PUNCT
cana-325	138	8	y=	y=	PROPN
cana-325	138	9	0.5	0.5	NUM
cana-325	138	10	,	,	PUNCT
cana-325	138	11	0.3	0.3	NUM
cana-325	138	12	,	,	PUNCT
cana-325	138	13	0.1	0.1	NUM
cana-325	138	14	)	)	PUNCT
cana-325	138	15	,	,	PUNCT
cana-325	138	16	the	the	DET
cana-325	138	17	value	value	NOUN
cana-325	138	18	of	of	ADP
cana-325	138	19	vertical	vertical	ADJ
cana-325	138	20	distance	distance	NOUN
cana-325	138	21	is	be	AUX
cana-325	138	22	fixed	fix	VERB
cana-325	138	23	at	at	ADP
cana-325	138	24	(	(	PUNCT
cana-325	138	25	z=0.2	z=0.2	PROPN
cana-325	138	26	)	)	PUNCT
cana-325	138	27	.	.	PUNCT
cana-325	139	1	fig	fig	NOUN
cana-325	139	2	2	2	NUM
cana-325	139	3	:	:	PUNCT
cana-325	139	4	dimensionless	dimensionless	ADJ
cana-325	139	5	concentration	concentration	NOUN
cana-325	139	6	c(x	c(x	NOUN
cana-325	139	7	,	,	PUNCT
cana-325	139	8	y	y	PROPN
cana-325	139	9	,	,	PUNCT
cana-325	139	10	0	0	NUM
cana-325	139	11	)	)	PUNCT
cana-325	139	12	plotted	plot	VERB
cana-325	139	13	against	against	ADP
cana-325	139	14	downwind	downwind	ADJ
cana-325	139	15	distance	distance	NOUN
cana-325	139	16	x.	x.	NOUN
cana-325	139	17	in	in	ADP
cana-325	139	18	figure	figure	NOUN
cana-325	139	19	(	(	PUNCT
cana-325	139	20	3	3	NUM
cana-325	139	21	)	)	PUNCT
cana-325	139	22	,	,	PUNCT
cana-325	139	23	we	we	PRON
cana-325	139	24	have	have	AUX
cana-325	139	25	plotted	plot	VERB
cana-325	139	26	the	the	DET
cana-325	139	27	concentration	concentration	NOUN
cana-325	139	28	of	of	ADP
cana-325	139	29	non	non	ADJ
cana-325	139	30	-	-	ADJ
cana-325	139	31	buoyant	buoyant	ADJ
cana-325	139	32	air	air	NOUN
cana-325	139	33	pollutants	pollutant	NOUN
cana-325	139	34	against	against	ADP
cana-325	139	35	cross	cross	NOUN
cana-325	139	36	wind	wind	NOUN
cana-325	139	37	distance	distance	NOUN
cana-325	139	38	(	(	PUNCT
cana-325	139	39	−1	−1	NOUN
cana-325	139	40	≤	≤	NUM
cana-325	139	41	𝑦	𝑦	NOUN
cana-325	139	42	≤	≤	NUM
cana-325	139	43	1	1	NUM
cana-325	139	44	)	)	PUNCT
cana-325	139	45	for	for	ADP
cana-325	139	46	different	different	ADJ
cana-325	139	47	values	value	NOUN
cana-325	139	48	of	of	ADP
cana-325	139	49	downwind	downwind	ADJ
cana-325	139	50	distance	distance	NOUN
cana-325	139	51	(	(	PUNCT
cana-325	139	52	x=0.1	x=0.1	PROPN
cana-325	139	53	,	,	PUNCT
cana-325	139	54	0.5	0.5	NUM
cana-325	139	55	,	,	PUNCT
cana-325	139	56	0.9	0.9	NUM
cana-325	139	57	)	)	PUNCT
cana-325	139	58	keeping	keep	VERB
cana-325	139	59	the	the	DET
cana-325	139	60	value	value	NOUN
cana-325	139	61	of	of	ADP
cana-325	139	62	vertical	vertical	ADJ
cana-325	139	63	distance	distance	NOUN
cana-325	139	64	fixed	fix	VERB
cana-325	139	65	at	at	ADP
cana-325	139	66	(	(	PUNCT
cana-325	139	67	z	z	NOUN
cana-325	139	68	=	=	NOUN
cana-325	139	69	0.2	0.2	NUM
cana-325	139	70	)	)	PUNCT
cana-325	139	71	.	.	PUNCT
cana-325	140	1	it	it	PRON
cana-325	140	2	is	be	AUX
cana-325	140	3	seen	see	VERB
cana-325	140	4	that	that	SCONJ
cana-325	140	5	the	the	DET
cana-325	140	6	concentration	concentration	NOUN
cana-325	140	7	profiles	profile	NOUN
cana-325	140	8	are	be	AUX
cana-325	140	9	symmetric	symmetric	ADJ
cana-325	140	10	with	with	ADP
cana-325	140	11	peak	peak	NOUN
cana-325	140	12	concentrations	concentration	NOUN
cana-325	140	13	along	along	ADP
cana-325	140	14	the	the	DET
cana-325	140	15	centerline	centerline	NOUN
cana-325	140	16	of	of	ADP
cana-325	140	17	the	the	DET
cana-325	140	18	plume	plume	NOUN
cana-325	140	19	.	.	PUNCT
cana-325	141	1	communications	communication	NOUN
cana-325	141	2	on	on	ADP
cana-325	141	3	applied	apply	VERB
cana-325	141	4	nonlinear	nonlinear	ADJ
cana-325	141	5	analysis	analysis	NOUN
cana-325	141	6	issn	issn	NOUN
cana-325	141	7	:	:	PUNCT
cana-325	141	8	1074	1074	NUM
cana-325	141	9	-	-	PUNCT
cana-325	141	10	133x	133x	NUM
cana-325	141	11	vol	vol	NOUN
cana-325	141	12	30	30	NUM
cana-325	141	13	no	no	NOUN
cana-325	141	14	.	.	NOUN
cana-325	141	15	4	4	NUM
cana-325	141	16	(	(	PUNCT
cana-325	141	17	2023	2023	NUM
cana-325	141	18	)	)	PUNCT
cana-325	141	19	174	174	NUM
cana-325	141	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	141	21	fig	fig	NOUN
cana-325	141	22	3	3	NUM
cana-325	141	23	:	:	PUNCT
cana-325	141	24	dimensionless	dimensionless	ADJ
cana-325	141	25	concentration	concentration	NOUN
cana-325	141	26	c(x	c(x	NOUN
cana-325	141	27	,	,	PUNCT
cana-325	141	28	y	y	PROPN
cana-325	141	29	,	,	PUNCT
cana-325	141	30	0.2	0.2	NUM
cana-325	141	31	)	)	PUNCT
cana-325	141	32	plotted	plot	VERB
cana-325	141	33	against	against	ADP
cana-325	141	34	cross	cross	ADJ
cana-325	141	35	-	-	ADJ
cana-325	141	36	wind	wind	ADJ
cana-325	141	37	distance	distance	NOUN
cana-325	141	38	y.	y.	NOUN
cana-325	141	39	5	5	NUM
cana-325	141	40	.	.	PUNCT
cana-325	141	41	conclusion	conclusion	NOUN
cana-325	141	42	in	in	ADP
cana-325	141	43	this	this	DET
cana-325	141	44	study	study	NOUN
cana-325	141	45	,	,	PUNCT
cana-325	141	46	a	a	DET
cana-325	141	47	mathematical	mathematical	ADJ
cana-325	141	48	model	model	NOUN
cana-325	141	49	for	for	ADP
cana-325	141	50	the	the	DET
cana-325	141	51	steady	steady	ADJ
cana-325	141	52	state	state	NOUN
cana-325	141	53	dispersion	dispersion	NOUN
cana-325	141	54	of	of	ADP
cana-325	141	55	non	non	ADJ
cana-325	141	56	-	-	ADJ
cana-325	141	57	buoyant	buoyant	ADJ
cana-325	141	58	air	air	NOUN
cana-325	141	59	pollutants	pollutant	NOUN
cana-325	141	60	emitted	emit	VERB
cana-325	141	61	from	from	ADP
cana-325	141	62	a	a	DET
cana-325	141	63	continuous	continuous	ADJ
cana-325	141	64	point	point	NOUN
cana-325	141	65	source	source	NOUN
cana-325	141	66	has	have	AUX
cana-325	141	67	been	be	AUX
cana-325	141	68	constructed	construct	VERB
cana-325	141	69	and	and	CCONJ
cana-325	141	70	an	an	DET
cana-325	141	71	analytical	analytical	ADJ
cana-325	141	72	solution	solution	NOUN
cana-325	141	73	is	be	AUX
cana-325	141	74	obtained	obtain	VERB
cana-325	141	75	.	.	PUNCT
cana-325	142	1	we	we	PRON
cana-325	142	2	have	have	AUX
cana-325	142	3	shown	show	VERB
cana-325	142	4	how	how	SCONJ
cana-325	142	5	non	non	ADJ
cana-325	142	6	-	-	ADJ
cana-325	142	7	buoyant	buoyant	ADJ
cana-325	142	8	air	air	NOUN
cana-325	142	9	pollutants	pollutant	NOUN
cana-325	142	10	are	be	AUX
cana-325	142	11	dispersed	disperse	VERB
cana-325	142	12	by	by	ADP
cana-325	142	13	a	a	DET
cana-325	142	14	continuous	continuous	ADJ
cana-325	142	15	point	point	NOUN
cana-325	142	16	source	source	NOUN
cana-325	142	17	,	,	PUNCT
cana-325	142	18	with	with	ADP
cana-325	142	19	the	the	DET
cana-325	142	20	wind	wind	NOUN
cana-325	142	21	velocity	velocity	NOUN
cana-325	142	22	represented	represent	VERB
cana-325	142	23	by	by	ADP
cana-325	142	24	a	a	DET
cana-325	142	25	power	power	NOUN
cana-325	142	26	function	function	NOUN
cana-325	142	27	that	that	PRON
cana-325	142	28	varies	vary	VERB
cana-325	142	29	with	with	ADP
cana-325	142	30	cross	cross	ADJ
cana-325	142	31	-	-	ADJ
cana-325	142	32	wind	wind	ADJ
cana-325	142	33	and	and	CCONJ
cana-325	142	34	downwind	downwind	ADJ
cana-325	142	35	distances	distance	NOUN
cana-325	142	36	.	.	PUNCT
cana-325	143	1	for	for	ADP
cana-325	143	2	various	various	ADJ
cana-325	143	3	parametric	parametric	ADJ
cana-325	143	4	values	value	NOUN
cana-325	143	5	,	,	PUNCT
cana-325	143	6	the	the	DET
cana-325	143	7	concentration	concentration	NOUN
cana-325	143	8	profile	profile	NOUN
cana-325	143	9	of	of	ADP
cana-325	143	10	non	non	ADJ
cana-325	143	11	-	-	ADJ
cana-325	143	12	buoyant	buoyant	ADJ
cana-325	143	13	air	air	NOUN
cana-325	143	14	pollutants	pollutant	NOUN
cana-325	143	15	is	be	AUX
cana-325	143	16	examined	examine	VERB
cana-325	143	17	against	against	ADP
cana-325	143	18	the	the	DET
cana-325	143	19	cross	cross	ADJ
cana-325	143	20	-	-	ADJ
cana-325	143	21	wind	wind	ADJ
cana-325	143	22	and	and	CCONJ
cana-325	143	23	downwind	downwind	ADJ
cana-325	143	24	distances	distance	NOUN
cana-325	143	25	.	.	PUNCT
cana-325	144	1	the	the	DET
cana-325	144	2	three	three	NUM
cana-325	144	3	curves	curve	NOUN
cana-325	144	4	have	have	AUX
cana-325	144	5	illustrated	illustrate	VERB
cana-325	144	6	uniform	uniform	ADJ
cana-325	144	7	behavior	behavior	NOUN
cana-325	144	8	for	for	ADP
cana-325	144	9	0	0	NUM
cana-325	144	10	≤	≤	NUM
cana-325	144	11	𝑥	𝑥	PRON
cana-325	144	12	≤	≤	NUM
cana-325	144	13	1	1	NUM
cana-325	144	14	with	with	ADP
cana-325	144	15	various	various	ADJ
cana-325	144	16	vertical	vertical	ADJ
cana-325	144	17	distances	distance	NOUN
cana-325	144	18	while	while	SCONJ
cana-325	144	19	maintaining	maintain	VERB
cana-325	144	20	the	the	DET
cana-325	144	21	crosswind	crosswind	NOUN
cana-325	144	22	distance	distance	NOUN
cana-325	144	23	constant	constant	ADJ
cana-325	144	24	.	.	PUNCT
cana-325	145	1	the	the	DET
cana-325	145	2	concentration	concentration	NOUN
cana-325	145	3	profiles	profile	NOUN
cana-325	145	4	consistently	consistently	ADV
cana-325	145	5	get	get	VERB
cana-325	145	6	smaller	small	ADJ
cana-325	145	7	as	as	SCONJ
cana-325	145	8	the	the	DET
cana-325	145	9	downwind	downwind	ADJ
cana-325	145	10	distance	distance	NOUN
cana-325	145	11	grows	grow	VERB
cana-325	145	12	.	.	PUNCT
cana-325	146	1	again	again	ADV
cana-325	146	2	,	,	PUNCT
cana-325	146	3	three	three	NUM
cana-325	146	4	curves	curve	NOUN
cana-325	146	5	have	have	AUX
cana-325	146	6	demonstrated	demonstrate	VERB
cana-325	146	7	uniform	uniform	ADJ
cana-325	146	8	behavior	behavior	NOUN
cana-325	146	9	for	for	ADP
cana-325	146	10	0	0	NUM
cana-325	146	11	≤	≤	NUM
cana-325	146	12	𝑥	𝑥	PRON
cana-325	146	13	≤	≤	NUM
cana-325	146	14	1	1	NUM
cana-325	146	15	with	with	ADP
cana-325	146	16	varying	vary	VERB
cana-325	146	17	values	value	NOUN
cana-325	146	18	of	of	ADP
cana-325	146	19	the	the	DET
cana-325	146	20	crosswind	crosswind	NOUN
cana-325	146	21	distances	distance	NOUN
cana-325	146	22	while	while	SCONJ
cana-325	146	23	maintaining	maintain	VERB
cana-325	146	24	the	the	DET
cana-325	146	25	vertical	vertical	ADJ
cana-325	146	26	distance	distance	NOUN
cana-325	146	27	constant	constant	ADJ
cana-325	146	28	.	.	PUNCT
cana-325	147	1	peak	peak	NOUN
cana-325	147	2	concentrations	concentration	NOUN
cana-325	147	3	have	have	AUX
cana-325	147	4	found	find	VERB
cana-325	147	5	along	along	ADP
cana-325	147	6	the	the	DET
cana-325	147	7	plume	plume	NOUN
cana-325	147	8	's	's	PART
cana-325	147	9	centerline	centerline	NOUN
cana-325	147	10	,	,	PUNCT
cana-325	147	11	and	and	CCONJ
cana-325	147	12	concentration	concentration	NOUN
cana-325	147	13	profiles	profile	NOUN
cana-325	147	14	are	be	AUX
cana-325	147	15	symmetric	symmetric	ADJ
cana-325	147	16	for	for	ADP
cana-325	147	17	−1≤	−1≤	ADJ
cana-325	147	18	𝑦	𝑦	NOUN
cana-325	147	19	≤	≤	NOUN
cana-325	147	20	1	1	NUM
cana-325	147	21	with	with	ADP
cana-325	147	22	varying	vary	VERB
cana-325	147	23	downwind	downwind	ADJ
cana-325	147	24	distance	distance	NOUN
cana-325	147	25	values	value	NOUN
cana-325	147	26	while	while	SCONJ
cana-325	147	27	maintaining	maintain	VERB
cana-325	147	28	a	a	DET
cana-325	147	29	constant	constant	ADJ
cana-325	147	30	vertical	vertical	ADJ
cana-325	147	31	distance	distance	NOUN
cana-325	147	32	value	value	NOUN
cana-325	147	33	.	.	PUNCT
cana-325	148	1	also	also	ADV
cana-325	148	2	,	,	PUNCT
cana-325	148	3	it	it	PRON
cana-325	148	4	is	be	AUX
cana-325	148	5	shown	show	VERB
cana-325	148	6	that	that	SCONJ
cana-325	148	7	as	as	ADP
cana-325	148	8	the	the	DET
cana-325	148	9	downwind	downwind	ADJ
cana-325	148	10	distance	distance	NOUN
cana-325	148	11	increases	increase	NOUN
cana-325	148	12	,	,	PUNCT
cana-325	148	13	the	the	DET
cana-325	148	14	crosswind	crosswind	NOUN
cana-325	148	15	concentrations	concentration	NOUN
cana-325	148	16	converge	converge	VERB
cana-325	148	17	toward	toward	ADP
cana-325	148	18	a	a	DET
cana-325	148	19	uniform	uniform	ADJ
cana-325	148	20	distribution	distribution	NOUN
cana-325	148	21	.	.	PUNCT
cana-325	149	1	references	reference	NOUN
cana-325	149	2	[	[	X
cana-325	149	3	1	1	NUM
cana-325	149	4	]	]	PUNCT
cana-325	149	5	agarwal	agarwal	PROPN
cana-325	149	6	,	,	PUNCT
cana-325	149	7	m.	m.	NOUN
cana-325	149	8	,	,	PUNCT
cana-325	149	9	verma	verma	PROPN
cana-325	149	10	,	,	PUNCT
cana-325	149	11	v.	v.	PROPN
cana-325	149	12	s.	s.	PROPN
cana-325	149	13	,	,	PUNCT
cana-325	149	14	and	and	CCONJ
cana-325	149	15	srivastava	srivastava	PROPN
cana-325	149	16	,	,	PUNCT
cana-325	149	17	s.(2008	s.(2008	PROPN
cana-325	149	18	)	)	PUNCT
cana-325	149	19	.	.	PUNCT
cana-325	150	1	an	an	DET
cana-325	150	2	analytical	analytical	ADJ
cana-325	150	3	approach	approach	NOUN
cana-325	150	4	to	to	ADP
cana-325	150	5	the	the	DET
cana-325	150	6	problem	problem	NOUN
cana-325	150	7	of	of	ADP
cana-325	150	8	dispersion	dispersion	NOUN
cana-325	150	9	of	of	ADP
cana-325	150	10	an	an	DET
cana-325	150	11	air	air	NOUN
cana-325	150	12	pollutant	pollutant	NOUN
cana-325	150	13	with	with	ADP
cana-325	150	14	variable	variable	ADJ
cana-325	150	15	wind	wind	NOUN
cana-325	150	16	velocity	velocity	NOUN
cana-325	150	17	.	.	PUNCT
cana-325	151	1	j.	j.	PROPN
cana-325	151	2	nat	nat	PROPN
cana-325	151	3	.	.	PUNCT
cana-325	152	1	acad	acad	PROPN
cana-325	152	2	.	.	PUNCT
cana-325	153	1	math	math	NOUN
cana-325	153	2	.	.	PUNCT
cana-325	153	3	,	,	PUNCT
cana-325	153	4	22	22	NUM
cana-325	153	5	,	,	PUNCT
cana-325	153	6	51–62	51–62	NUM
cana-325	153	7	.	.	PUNCT
cana-325	154	1	[	[	X
cana-325	154	2	2	2	NUM
cana-325	154	3	]	]	PUNCT
cana-325	154	4	agarwal	agarwal	PROPN
cana-325	154	5	,	,	PUNCT
cana-325	154	6	m.	m.	NOUN
cana-325	154	7	,	,	PUNCT
cana-325	154	8	and	and	CCONJ
cana-325	154	9	shukla	shukla	NOUN
cana-325	154	10	,	,	PUNCT
cana-325	154	11	a.	a.	NOUN
cana-325	154	12	(	(	PUNCT
cana-325	154	13	2002	2002	NUM
cana-325	154	14	)	)	PUNCT
cana-325	154	15	.	.	PUNCT
cana-325	155	1	a	a	DET
cana-325	155	2	three	three	NUM
cana-325	155	3	-	-	PUNCT
cana-325	155	4	dimensional	dimensional	ADJ
cana-325	155	5	atmospheric	atmospheric	ADJ
cana-325	155	6	diffusion	diffusion	NOUN
cana-325	155	7	model	model	NOUN
cana-325	155	8	with	with	ADP
cana-325	155	9	sink	sink	NOUN
cana-325	155	10	mechanism	mechanism	NOUN
cana-325	155	11	and	and	CCONJ
cana-325	155	12	variable	variable	ADJ
cana-325	155	13	wind	wind	NOUN
cana-325	155	14	velocity	velocity	NOUN
cana-325	155	15	.	.	PUNCT
cana-325	156	1	fast	fast	PROPN
cana-325	156	2	east	east	PROPN
cana-325	156	3	j.	j.	PROPN
cana-325	156	4	appl	appl	PROPN
cana-325	156	5	.	.	PUNCT
cana-325	157	1	maths	maths	PROPN
cana-325	157	2	.	.	PUNCT
cana-325	158	1	7(1	7(1	NUM
cana-325	158	2	)	)	PUNCT
cana-325	158	3	,	,	PUNCT
cana-325	158	4	67–80	67–80	NOUN
cana-325	158	5	.	.	PUNCT
cana-325	159	1	[	[	X
cana-325	159	2	3	3	NUM
cana-325	159	3	]	]	X
cana-325	159	4	alam	alam	PROPN
cana-325	159	5	,	,	PUNCT
cana-325	159	6	m.k	m.k	PROPN
cana-325	159	7	.	.	PROPN
cana-325	159	8	,and	,and	PUNCT
cana-325	159	9	seinfeld	seinfeld	PROPN
cana-325	159	10	,	,	PUNCT
cana-325	159	11	j.h.(1981	j.h.(1981	PROPN
cana-325	159	12	)	)	PUNCT
cana-325	159	13	.	.	PUNCT
cana-325	160	1	solution	solution	NOUN
cana-325	160	2	of	of	ADP
cana-325	160	3	steady	steady	ADJ
cana-325	160	4	state	state	NOUN
cana-325	160	5	3dimensional	3dimensional	ADJ
cana-325	160	6	atmospheric	atmospheric	ADJ
cana-325	160	7	diffusion	diffusion	NOUN
cana-325	160	8	equation	equation	NOUN
cana-325	160	9	for	for	ADP
cana-325	160	10	sulphur	sulphur	NOUN
cana-325	160	11	dioxide	dioxide	NOUN
cana-325	160	12	and	and	CCONJ
cana-325	160	13	sulphate	sulphate	NOUN
cana-325	160	14	dispersion	dispersion	NOUN
cana-325	160	15	from	from	ADP
cana-325	160	16	point	point	NOUN
cana-325	160	17	source	source	NOUN
cana-325	160	18	.	.	PUNCT
cana-325	161	1	atmospheric	atmospheric	ADJ
cana-325	161	2	environment	environment	NOUN
cana-325	161	3	,	,	PUNCT
cana-325	161	4	15	15	NUM
cana-325	161	5	,	,	PUNCT
cana-325	161	6	1221	1221	NUM
cana-325	161	7	-	-	SYM
cana-325	161	8	1225	1225	NUM
cana-325	161	9	.	.	PUNCT
cana-325	162	1	[	[	X
cana-325	162	2	4	4	NUM
cana-325	162	3	]	]	X
cana-325	162	4	bhandari	bhandari	X
cana-325	162	5	,	,	PUNCT
cana-325	162	6	p.s	p.s	PROPN
cana-325	162	7	.	.	PROPN
cana-325	162	8	and	and	CCONJ
cana-325	162	9	verma	verma	PROPN
cana-325	162	10	,	,	PUNCT
cana-325	162	11	v.s.	v.s.	X
cana-325	162	12	(	(	PUNCT
cana-325	162	13	2020	2020	NUM
cana-325	162	14	)	)	PUNCT
cana-325	162	15	.	.	PUNCT
cana-325	163	1	an	an	DET
cana-325	163	2	analytical	analytical	ADJ
cana-325	163	3	model	model	NOUN
cana-325	163	4	for	for	ADP
cana-325	163	5	the	the	DET
cana-325	163	6	dispersion	dispersion	NOUN
cana-325	163	7	of	of	ADP
cana-325	163	8	air	air	NOUN
cana-325	163	9	pollutants	pollutant	NOUN
cana-325	163	10	in	in	ADP
cana-325	163	11	a	a	DET
cana-325	163	12	finite	finite	ADJ
cana-325	163	13	atmospheric	atmospheric	ADJ
cana-325	163	14	boundary	boundary	ADJ
cana-325	163	15	layer	layer	NOUN
cana-325	163	16	using	use	VERB
cana-325	163	17	variable	variable	ADJ
cana-325	163	18	separable	separable	ADJ
cana-325	163	19	method	method	NOUN
cana-325	163	20	.	.	PUNCT
cana-325	164	1	international	international	ADJ
cana-325	164	2	journal	journal	PROPN
cana-325	164	3	of	of	ADP
cana-325	164	4	mathematics	mathematics	PROPN
cana-325	164	5	and	and	CCONJ
cana-325	164	6	computer	computer	NOUN
cana-325	164	7	applications	application	NOUN
cana-325	164	8	research	research	NOUN
cana-325	164	9	,	,	PUNCT
cana-325	164	10	10(1	10(1	NUM
cana-325	164	11	)	)	PUNCT
cana-325	164	12	,	,	PUNCT
cana-325	164	13	59	59	NUM
cana-325	164	14	-	-	SYM
cana-325	164	15	68	68	NUM
cana-325	164	16	.	.	PUNCT
cana-325	165	1	[	[	X
cana-325	165	2	5	5	NUM
cana-325	165	3	]	]	PUNCT
cana-325	165	4	bhandari	bhandari	X
cana-325	165	5	,	,	PUNCT
cana-325	165	6	p.s	p.s	PROPN
cana-325	165	7	.	.	PROPN
cana-325	165	8	,	,	PUNCT
cana-325	165	9	srivastava	srivastava	PROPN
cana-325	165	10	,	,	PUNCT
cana-325	165	11	s.	s.	PROPN
cana-325	165	12	and	and	CCONJ
cana-325	165	13	verma	verma	PROPN
cana-325	165	14	,	,	PUNCT
cana-325	165	15	v.s.	v.s.	X
cana-325	165	16	(	(	PUNCT
cana-325	165	17	2022	2022	NUM
cana-325	165	18	)	)	PUNCT
cana-325	165	19	.	.	PUNCT
cana-325	166	1	a	a	DET
cana-325	166	2	mathematical	mathematical	ADJ
cana-325	166	3	study	study	NOUN
cana-325	166	4	on	on	ADP
cana-325	166	5	dispersion	dispersion	NOUN
cana-325	166	6	of	of	ADP
cana-325	166	7	nonbuoyant	nonbuoyant	ADJ
cana-325	166	8	air	air	NOUN
cana-325	166	9	pollutants	pollutant	NOUN
cana-325	166	10	emitted	emit	VERB
cana-325	166	11	from	from	ADP
cana-325	166	12	point	point	NOUN
cana-325	166	13	source	source	NOUN
cana-325	166	14	having	have	VERB
cana-325	166	15	variable	variable	ADJ
cana-325	166	16	wind	wind	NOUN
cana-325	166	17	velocity	velocity	NOUN
cana-325	166	18	.	.	PUNCT
cana-325	167	1	journal	journal	NOUN
cana-325	167	2	of	of	ADP
cana-325	167	3	chemical	chemical	ADJ
cana-325	167	4	health	health	NOUN
cana-325	167	5	risks	risk	NOUN
cana-325	167	6	,	,	PUNCT
cana-325	167	7	12(2	12(2	NUM
cana-325	167	8	)	)	PUNCT
cana-325	167	9	,	,	PUNCT
cana-325	167	10	335	335	NUM
cana-325	167	11	-	-	SYM
cana-325	167	12	340	340	NUM
cana-325	167	13	.	.	PUNCT
cana-325	168	1	communications	communication	NOUN
cana-325	168	2	on	on	ADP
cana-325	168	3	applied	apply	VERB
cana-325	168	4	nonlinear	nonlinear	ADJ
cana-325	168	5	analysis	analysis	NOUN
cana-325	168	6	issn	issn	NOUN
cana-325	168	7	:	:	PUNCT
cana-325	168	8	1074	1074	NUM
cana-325	168	9	-	-	PUNCT
cana-325	168	10	133x	133x	NUM
cana-325	168	11	vol	vol	NOUN
cana-325	168	12	30	30	NUM
cana-325	168	13	no	no	NOUN
cana-325	168	14	.	.	NOUN
cana-325	168	15	4	4	NUM
cana-325	168	16	(	(	PUNCT
cana-325	168	17	2023	2023	NUM
cana-325	168	18	)	)	PUNCT
cana-325	168	19	175	175	NUM
cana-325	168	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-325	169	1	[	[	X
cana-325	169	2	6	6	NUM
cana-325	169	3	]	]	X
cana-325	169	4	briggs	briggs	PROPN
cana-325	169	5	,	,	PUNCT
cana-325	169	6	d.g	d.g	PROPN
cana-325	169	7	.	.	PROPN
cana-325	169	8	(	(	PUNCT
cana-325	169	9	1975	1975	NUM
cana-325	169	10	)	)	PUNCT
cana-325	169	11	.	.	PUNCT
cana-325	170	1	a	a	DET
cana-325	170	2	finite	finite	ADJ
cana-325	170	3	difference	difference	NOUN
cana-325	170	4	scheme	scheme	NOUN
cana-325	170	5	for	for	ADP
cana-325	170	6	the	the	DET
cana-325	170	7	incompressible	incompressible	ADJ
cana-325	170	8	advection	advection	NOUN
cana-325	170	9	-	-	PUNCT
cana-325	170	10	diffusion	diffusion	NOUN
cana-325	170	11	equation	equation	NOUN
cana-325	170	12	.	.	PUNCT
cana-325	171	1	computer	computer	NOUN
cana-325	171	2	methods	method	NOUN
cana-325	171	3	in	in	ADP
cana-325	171	4	applied	applied	ADJ
cana-325	171	5	mechanics	mechanic	NOUN
cana-325	171	6	and	and	CCONJ
cana-325	171	7	engineering	engineering	NOUN
cana-325	171	8	,	,	PUNCT
cana-325	171	9	6	6	NUM
cana-325	171	10	,	,	PUNCT
cana-325	171	11	233	233	NUM
cana-325	171	12	-	-	SYM
cana-325	171	13	241	241	NUM
cana-325	171	14	.	.	PUNCT
cana-325	172	1	[	[	X
cana-325	172	2	7	7	X
cana-325	172	3	]	]	X
cana-325	172	4	essa	essa	PROPN
cana-325	172	5	khaled	khaled	PROPN
cana-325	172	6	,	,	PUNCT
cana-325	172	7	s.m	s.m	PROPN
cana-325	172	8	.	.	PROPN
cana-325	172	9	(	(	PUNCT
cana-325	172	10	2015	2015	NUM
cana-325	172	11	)	)	PUNCT
cana-325	172	12	.	.	PUNCT
cana-325	173	1	studying	study	VERB
cana-325	173	2	the	the	DET
cana-325	173	3	effect	effect	NOUN
cana-325	173	4	of	of	ADP
cana-325	173	5	the	the	DET
cana-325	173	6	vertical	vertical	ADJ
cana-325	173	7	eddy	eddy	PROPN
cana-325	173	8	diffusivity	diffusivity	NOUN
cana-325	173	9	on	on	ADP
cana-325	173	10	the	the	DET
cana-325	173	11	solution	solution	NOUN
cana-325	173	12	of	of	ADP
cana-325	173	13	the	the	DET
cana-325	173	14	diffusion	diffusion	NOUN
cana-325	173	15	equation	equation	NOUN
cana-325	173	16	.	.	PUNCT
cana-325	174	1	journal	journal	PROPN
cana-325	174	2	of	of	ADP
cana-325	174	3	ecology	ecology	NOUN
cana-325	174	4	of	of	ADP
cana-325	174	5	health	health	NOUN
cana-325	174	6	and	and	CCONJ
cana-325	174	7	environment	environment	NOUN
cana-325	174	8	,	,	PUNCT
cana-325	174	9	3(2	3(2	NUM
cana-325	174	10	)	)	PUNCT
cana-325	174	11	,	,	PUNCT
cana-325	174	12	43–48	43–48	NUM
cana-325	174	13	.	.	PUNCT
cana-325	175	1	[	[	X
cana-325	175	2	8	8	NUM
cana-325	175	3	]	]	X
cana-325	175	4	essa	essa	PROPN
cana-325	175	5	khaled	khaled	PROPN
cana-325	175	6	,	,	PUNCT
cana-325	175	7	s.m	s.m	PROPN
cana-325	175	8	.	.	PROPN
cana-325	175	9	,	,	PUNCT
cana-325	175	10	aziz	aziz	PROPN
cana-325	175	11	,	,	PUNCT
cana-325	175	12	s.	s.	PROPN
cana-325	175	13	,	,	PUNCT
cana-325	175	14	hamdy	hamdy	PROPN
cana-325	175	15	hany	hany	PROPN
cana-325	175	16	,	,	PUNCT
cana-325	175	17	n.m	n.m	PROPN
cana-325	175	18	.	.	PROPN
cana-325	175	19	,	,	PUNCT
cana-325	175	20	and	and	CCONJ
cana-325	175	21	khalifa	khalifa	PROPN
cana-325	175	22	,	,	PUNCT
cana-325	175	23	a.	a.	NOUN
cana-325	175	24	(	(	PUNCT
cana-325	175	25	2016	2016	NUM
cana-325	175	26	)	)	PUNCT
cana-325	175	27	.	.	PUNCT
cana-325	176	1	theoretical	theoretical	ADJ
cana-325	176	2	solution	solution	NOUN
cana-325	176	3	of	of	ADP
cana-325	176	4	the	the	DET
cana-325	176	5	diffusion	diffusion	NOUN
cana-325	176	6	equation	equation	NOUN
cana-325	176	7	in	in	ADP
cana-325	176	8	an	an	DET
cana-325	176	9	unstable	unstable	ADJ
cana-325	176	10	case	case	NOUN
cana-325	176	11	.	.	PUNCT
cana-325	177	1	journal	journal	NOUN
cana-325	177	2	of	of	ADP
cana-325	177	3	atmosphere	atmosphere	NOUN
cana-325	177	4	,	,	PUNCT
cana-325	177	5	2(1	2(1	NUM
cana-325	177	6	)	)	PUNCT
cana-325	177	7	,	,	PUNCT
cana-325	177	8	1–8	1–8	X
cana-325	177	9	.	.	PUNCT
cana-325	178	1	[	[	X
cana-325	178	2	9	9	NUM
cana-325	178	3	]	]	X
cana-325	178	4	essa	essa	PROPN
cana-325	178	5	khaled	khaled	PROPN
cana-325	178	6	,	,	PUNCT
cana-325	178	7	s.m	s.m	PROPN
cana-325	178	8	.	.	PROPN
cana-325	178	9	,	,	PUNCT
cana-325	178	10	etmansoad	etmansoad	NOUN
cana-325	178	11	,	,	PUNCT
cana-325	178	12	m.	m.	NOUN
cana-325	178	13	,	,	PUNCT
cana-325	178	14	and	and	CCONJ
cana-325	178	15	el	el	NOUN
cana-325	178	16	-	-	PUNCT
cana-325	178	17	otaify	otaify	PROPN
cana-325	178	18	,	,	PUNCT
cana-325	178	19	maha	maha	PROPN
cana-325	178	20	,	,	PUNCT
cana-325	178	21	s.(2016	s.(2016	PROPN
cana-325	178	22	)	)	PUNCT
cana-325	178	23	.	.	PUNCT
cana-325	179	1	studying	study	VERB
cana-325	179	2	the	the	DET
cana-325	179	3	effect	effect	NOUN
cana-325	179	4	of	of	ADP
cana-325	179	5	vertical	vertical	ADJ
cana-325	179	6	variation	variation	NOUN
cana-325	179	7	of	of	ADP
cana-325	179	8	wind	wind	NOUN
cana-325	179	9	speed	speed	NOUN
cana-325	179	10	and	and	CCONJ
cana-325	179	11	eddy	eddy	NOUN
cana-325	179	12	diffusivity	diffusivity	NOUN
cana-325	179	13	on	on	ADP
cana-325	179	14	the	the	DET
cana-325	179	15	advection	advection	NOUN
cana-325	179	16	-	-	PUNCT
cana-325	179	17	diffusion	diffusion	NOUN
cana-325	179	18	equation	equation	NOUN
cana-325	179	19	.	.	PUNCT
cana-325	180	1	applied	apply	VERB
cana-325	180	2	science	science	NOUN
cana-325	180	3	reports	report	NOUN
cana-325	180	4	14(3	14(3	NUM
cana-325	180	5	)	)	PUNCT
cana-325	180	6	,	,	PUNCT
cana-325	180	7	250–257	250–257	NUM
cana-325	180	8	.	.	PUNCT
cana-325	181	1	[	[	X
cana-325	181	2	10	10	NUM
cana-325	181	3	]	]	X
cana-325	181	4	lin	lin	PROPN
cana-325	181	5	,	,	PUNCT
cana-325	181	6	j.	j.	PROPN
cana-325	181	7	s.	s.	PROPN
cana-325	181	8	and	and	CCONJ
cana-325	181	9	hildemann	hildemann	PROPN
cana-325	181	10	,	,	PUNCT
cana-325	181	11	l.	l.	PROPN
cana-325	181	12	m.	m.	PROPN
cana-325	181	13	(	(	PUNCT
cana-325	181	14	1996	1996	NUM
cana-325	181	15	)	)	PUNCT
cana-325	181	16	.	.	PUNCT
cana-325	182	1	analytical	analytical	ADJ
cana-325	182	2	solutions	solution	NOUN
cana-325	182	3	of	of	ADP
cana-325	182	4	the	the	DET
cana-325	182	5	atmospheric	atmospheric	ADJ
cana-325	182	6	diffusion	diffusion	NOUN
cana-325	182	7	equation	equation	NOUN
cana-325	182	8	with	with	ADP
cana-325	182	9	multiple	multiple	ADJ
cana-325	182	10	sources	source	NOUN
cana-325	182	11	and	and	CCONJ
cana-325	182	12	height	height	NOUN
cana-325	182	13	-	-	PUNCT
cana-325	182	14	dependent	dependent	ADJ
cana-325	182	15	wind	wind	NOUN
cana-325	182	16	speed	speed	NOUN
cana-325	182	17	and	and	CCONJ
cana-325	182	18	eddy	eddy	PROPN
cana-325	182	19	diffusivities	diffusivitie	NOUN
cana-325	182	20	.	.	PUNCT
cana-325	183	1	atmospheric	atmospheric	ADJ
cana-325	183	2	environment	environment	NOUN
cana-325	183	3	,	,	PUNCT
cana-325	183	4	30(2	30(2	NUM
cana-325	183	5	)	)	PUNCT
cana-325	183	6	,	,	PUNCT
cana-325	183	7	239	239	NUM
cana-325	183	8	-	-	SYM
cana-325	183	9	254	254	NUM
cana-325	183	10	.	.	PUNCT
cana-325	184	1	[	[	X
cana-325	184	2	11	11	NUM
cana-325	184	3	]	]	X
cana-325	184	4	manisalidis	manisalidis	PROPN
cana-325	184	5	,	,	PUNCT
cana-325	184	6	i.	i.	PROPN
cana-325	184	7	,	,	PUNCT
cana-325	184	8	stavropoulou	stavropoulou	PROPN
cana-325	184	9	,	,	PUNCT
cana-325	184	10	e.	e.	PROPN
cana-325	184	11	,	,	PUNCT
cana-325	184	12	stavropoulos	stavropoulo	NOUN
cana-325	184	13	,	,	PUNCT
cana-325	184	14	a.	a.	NOUN
cana-325	184	15	,	,	PUNCT
cana-325	184	16	and	and	CCONJ
cana-325	184	17	bezirtzoglou	bezirtzoglou	ADJ
cana-325	184	18	,	,	PUNCT
cana-325	184	19	e.(2020	e.(2020	PROPN
cana-325	184	20	)	)	PUNCT
cana-325	184	21	.	.	PUNCT
cana-325	185	1	environmental	environmental	ADJ
cana-325	185	2	and	and	CCONJ
cana-325	185	3	health	health	NOUN
cana-325	185	4	impacts	impact	NOUN
cana-325	185	5	of	of	ADP
cana-325	185	6	air	air	NOUN
cana-325	185	7	pollution	pollution	NOUN
cana-325	185	8	:	:	PUNCT
cana-325	185	9	a	a	DET
cana-325	185	10	review	review	NOUN
cana-325	185	11	.	.	PUNCT
cana-325	186	1	front	front	NOUN
cana-325	186	2	.	.	PUNCT
cana-325	187	1	public	public	ADJ
cana-325	187	2	health	health	PROPN
cana-325	187	3	8:14	8:14	NUM
cana-325	187	4	,	,	PUNCT
cana-325	187	5	doi	doi	NOUN
cana-325	187	6	:	:	PUNCT
cana-325	187	7	10.3389	10.3389	NUM
cana-325	187	8	/	/	SYM
cana-325	187	9	fpubh.2020.00014	fpubh.2020.00014	NOUN
cana-325	187	10	.	.	PUNCT
cana-325	188	1	[	[	X
cana-325	188	2	12	12	NUM
cana-325	188	3	]	]	X
cana-325	188	4	sharan	sharan	NOUN
cana-325	188	5	,	,	PUNCT
cana-325	188	6	m.	m.	NOUN
cana-325	188	7	,	,	PUNCT
cana-325	188	8	modani	modani	NOUN
cana-325	188	9	,	,	PUNCT
cana-325	188	10	m.	m.	NOUN
cana-325	188	11	,	,	PUNCT
cana-325	188	12	and	and	CCONJ
cana-325	188	13	yadav	yadav	PROPN
cana-325	188	14	,	,	PUNCT
cana-325	188	15	a.	a.	PROPN
cana-325	188	16	k.(2003	k.(2003	PROPN
cana-325	188	17	)	)	PUNCT
cana-325	188	18	.	.	PUNCT
cana-325	189	1	atmospheric	atmospheric	ADJ
cana-325	189	2	dispersion	dispersion	NOUN
cana-325	189	3	:	:	PUNCT
cana-325	189	4	an	an	DET
cana-325	189	5	overview	overview	NOUN
cana-325	189	6	of	of	ADP
cana-325	189	7	mathematical	mathematical	ADJ
cana-325	189	8	modeling	modeling	NOUN
cana-325	189	9	frameworks	framework	NOUN
cana-325	189	10	.	.	PUNCT
cana-325	190	1	proc	proc	PROPN
cana-325	190	2	indian	indian	PROPN
cana-325	190	3	natn	natn	PROPN
cana-325	190	4	sci	sci	PROPN
cana-325	190	5	acad	acad	PROPN
cana-325	190	6	,	,	PUNCT
cana-325	190	7	69	69	NUM
cana-325	190	8	a	a	DET
cana-325	190	9	(	(	PUNCT
cana-325	190	10	6	6	NUM
cana-325	190	11	)	)	PUNCT
cana-325	190	12	,	,	PUNCT
cana-325	190	13	725	725	NUM
cana-325	190	14	-	-	SYM
cana-325	190	15	744	744	NUM
cana-325	190	16	.	.	PUNCT
cana-325	191	1	[	[	X
cana-325	191	2	13	13	NUM
cana-325	191	3	]	]	PUNCT
cana-325	191	4	sharan	sharan	NOUN
cana-325	191	5	,	,	PUNCT
cana-325	191	6	m.	m.	NOUN
cana-325	191	7	,	,	PUNCT
cana-325	191	8	singh	singh	PROPN
cana-325	191	9	,	,	PUNCT
cana-325	191	10	m.p	m.p	PROPN
cana-325	191	11	.	.	PROPN
cana-325	191	12	,	,	PUNCT
cana-325	191	13	and	and	CCONJ
cana-325	191	14	yadav	yadav	PROPN
cana-325	191	15	,	,	PUNCT
cana-325	191	16	a.	a.	NOUN
cana-325	191	17	k.(1996	k.(1996	PROPN
cana-325	191	18	)	)	PUNCT
cana-325	191	19	.	.	PUNCT
cana-325	192	1	a	a	DET
cana-325	192	2	mathematical	mathematical	ADJ
cana-325	192	3	model	model	NOUN
cana-325	192	4	for	for	ADP
cana-325	192	5	the	the	DET
cana-325	192	6	atmospheric	atmospheric	ADJ
cana-325	192	7	dispersion	dispersion	NOUN
cana-325	192	8	in	in	ADP
cana-325	192	9	low	low	ADJ
cana-325	192	10	winds	wind	NOUN
cana-325	192	11	with	with	ADP
cana-325	192	12	eddy	eddy	PROPN
cana-325	192	13	diffusivities	diffusivitie	NOUN
cana-325	192	14	as	as	ADP
cana-325	192	15	a	a	DET
cana-325	192	16	linear	linear	ADJ
cana-325	192	17	function	function	NOUN
cana-325	192	18	of	of	ADP
cana-325	192	19	downwind	downwind	ADJ
cana-325	192	20	distance	distance	NOUN
cana-325	192	21	.	.	PUNCT
cana-325	193	1	atmospheric	atmospheric	ADJ
cana-325	193	2	environment	environment	NOUN
cana-325	193	3	,	,	PUNCT
cana-325	193	4	30	30	NUM
cana-325	193	5	,	,	PUNCT
cana-325	193	6	1137–1145	1137–1145	NUM
cana-325	193	7	.	.	PUNCT
cana-325	194	1	[	[	X
cana-325	194	2	14	14	NUM
cana-325	194	3	]	]	X
cana-325	194	4	srivastava	srivastava	PROPN
cana-325	194	5	,	,	PUNCT
cana-325	194	6	s.	s.	PROPN
cana-325	194	7	,	,	PUNCT
cana-325	194	8	agarwal	agarwal	PROPN
cana-325	194	9	,	,	PUNCT
cana-325	194	10	m.	m.	NOUN
cana-325	194	11	,	,	PUNCT
cana-325	194	12	and	and	CCONJ
cana-325	194	13	verma	verma	PROPN
cana-325	194	14	,	,	PUNCT
cana-325	194	15	v.s.(2009	v.s.(2009	PROPN
cana-325	194	16	)	)	PUNCT
cana-325	194	17	.	.	PUNCT
cana-325	195	1	a	a	DET
cana-325	195	2	three	three	NUM
cana-325	195	3	-	-	PUNCT
cana-325	195	4	dimensional	dimensional	ADJ
cana-325	195	5	atmospheric	atmospheric	ADJ
cana-325	195	6	diffusion	diffusion	NOUN
cana-325	195	7	model	model	NOUN
cana-325	195	8	with	with	ADP
cana-325	195	9	variable	variable	ADJ
cana-325	195	10	removable	removable	ADJ
cana-325	195	11	rate	rate	NOUN
cana-325	195	12	and	and	CCONJ
cana-325	195	13	variable	variable	ADJ
cana-325	195	14	wind	wind	NOUN
cana-325	195	15	velocity	velocity	NOUN
cana-325	195	16	.	.	PUNCT
cana-325	196	1	j.nat.acad.math.spl	j.nat.acad.math.spl	X
cana-325	196	2	.	.	PROPN
cana-325	196	3	,	,	PUNCT
cana-325	197	1	189–197	189–197	NUM
cana-325	197	2	.	.	PUNCT
cana-325	198	1	[	[	X
cana-325	198	2	15	15	NUM
cana-325	198	3	]	]	X
cana-325	198	4	verma	verma	PROPN
cana-325	198	5	,	,	PUNCT
cana-325	198	6	v.s.	v.s.	X
cana-325	198	7	,	,	PUNCT
cana-325	198	8	srivastava	srivastava	PROPN
cana-325	198	9	,	,	PUNCT
cana-325	198	10	u.	u.	PROPN
cana-325	198	11	,	,	PUNCT
cana-325	198	12	and	and	CCONJ
cana-325	198	13	bhandari	bhandari	NOUN
cana-325	198	14	,	,	PUNCT
cana-325	198	15	p.s.(2016	p.s.(2016	PROPN
cana-325	198	16	)	)	PUNCT
cana-325	198	17	.	.	PUNCT
cana-325	199	1	an	an	DET
cana-325	199	2	analytical	analytical	ADJ
cana-325	199	3	approach	approach	NOUN
cana-325	199	4	to	to	ADP
cana-325	199	5	a	a	DET
cana-325	199	6	problem	problem	NOUN
cana-325	199	7	on	on	ADP
cana-325	199	8	the	the	DET
cana-325	199	9	dispersion	dispersion	NOUN
cana-325	199	10	of	of	ADP
cana-325	199	11	air	air	NOUN
cana-325	199	12	pollutants	pollutant	NOUN
cana-325	199	13	.	.	PUNCT
cana-325	200	1	international	international	ADJ
cana-325	200	2	journal	journal	NOUN
cana-325	200	3	of	of	ADP
cana-325	200	4	recent	recent	ADJ
cana-325	200	5	scientific	scientific	ADJ
cana-325	200	6	research	research	NOUN
cana-325	200	7	,	,	PUNCT
cana-325	200	8	7	7	NUM
cana-325	200	9	(	(	PUNCT
cana-325	200	10	10	10	NUM
cana-325	200	11	)	)	PUNCT
cana-325	200	12	,	,	PUNCT
cana-325	200	13	13850–13857	13850–13857	NUM
cana-325	200	14	.	.	PUNCT
cana-325	201	1	[	[	X
cana-325	201	2	16	16	NUM
cana-325	201	3	]	]	X
cana-325	201	4	verma	verma	PROPN
cana-325	201	5	,	,	PUNCT
cana-325	201	6	v.s.	v.s.	X
cana-325	201	7	,	,	PUNCT
cana-325	201	8	srivastava	srivastava	PROPN
cana-325	201	9	,	,	PUNCT
cana-325	201	10	u.	u.	PROPN
cana-325	201	11	and	and	CCONJ
cana-325	201	12	bhandari	bhandari	PROPN
cana-325	201	13	,	,	PUNCT
cana-325	201	14	p.s.(2015	p.s.(2015	PROPN
cana-325	201	15	)	)	PUNCT
cana-325	201	16	.	.	PUNCT
cana-325	202	1	a	a	DET
cana-325	202	2	mathematical	mathematical	ADJ
cana-325	202	3	model	model	NOUN
cana-325	202	4	on	on	ADP
cana-325	202	5	the	the	DET
cana-325	202	6	dispersion	dispersion	NOUN
cana-325	202	7	of	of	ADP
cana-325	202	8	air	air	NOUN
cana-325	202	9	pollutants	pollutant	NOUN
cana-325	202	10	.	.	PUNCT
cana-325	203	1	international	international	ADJ
cana-325	203	2	journal	journal	PROPN
cana-325	203	3	of	of	ADP
cana-325	203	4	science	science	NOUN
cana-325	203	5	and	and	CCONJ
cana-325	203	6	research	research	NOUN
cana-325	203	7	,	,	PUNCT
cana-325	203	8	4	4	NUM
cana-325	203	9	,	,	PUNCT
cana-325	203	10	1904–1907	1904–1907	NUM
cana-325	203	11	.	.	PUNCT
cana-325	204	1	[	[	X
cana-325	204	2	17	17	NUM
cana-325	204	3	]	]	X
cana-325	204	4	verma	verma	PROPN
cana-325	204	5	,	,	PUNCT
cana-325	204	6	v.s.	v.s.	X
cana-325	204	7	,	,	PUNCT
cana-325	204	8	srivastava	srivastava	PROPN
cana-325	204	9	,	,	PUNCT
cana-325	204	10	s.	s.	PROPN
cana-325	204	11	,	,	PUNCT
cana-325	204	12	and	and	CCONJ
cana-325	204	13	agarwal	agarwal	PROPN
cana-325	204	14	,	,	PUNCT
cana-325	204	15	m.	m.	NOUN
cana-325	204	16	(	(	PUNCT
cana-325	204	17	2011	2011	NUM
cana-325	204	18	)	)	PUNCT
cana-325	204	19	.	.	PUNCT
cana-325	205	1	an	an	DET
cana-325	205	2	analytical	analytical	ADJ
cana-325	205	3	approach	approach	NOUN
cana-325	205	4	to	to	ADP
cana-325	205	5	the	the	DET
cana-325	205	6	problem	problem	NOUN
cana-325	205	7	of	of	ADP
cana-325	205	8	dispersion	dispersion	NOUN
cana-325	205	9	of	of	ADP
cana-325	205	10	an	an	DET
cana-325	205	11	air	air	NOUN
cana-325	205	12	pollutant	pollutant	NOUN
cana-325	205	13	with	with	ADP
cana-325	205	14	variable	variable	ADJ
cana-325	205	15	and	and	CCONJ
cana-325	205	16	variable	variable	ADJ
cana-325	205	17	eddy	eddy	PROPN
cana-325	205	18	diffusivity	diffusivity	PROPN
cana-325	205	19	.	.	PUNCT
cana-325	206	1	south	south	PROPN
cana-325	206	2	east	east	PROPN
cana-325	206	3	asian	asian	PROPN
cana-325	206	4	j.math.and	j.math.and	PROPN
cana-325	206	5	math.sc	math.sc	PROPN
cana-325	206	6	.	.	PUNCT
cana-325	207	1	9(2	9(2	NUM
cana-325	207	2	)	)	PUNCT
cana-325	207	3	,	,	PUNCT
cana-325	207	4	43–48	43–48	NUM
cana-325	207	5	.	.	PUNCT
cana-325	208	1	[	[	X
cana-325	208	2	18	18	NUM
cana-325	208	3	]	]	PUNCT
cana-325	208	4	verma	verma	PROPN
cana-325	208	5	,	,	PUNCT
cana-325	208	6	v.s.(2011	v.s.(2011	NOUN
cana-325	208	7	)	)	PUNCT
cana-325	208	8	.	.	PUNCT
cana-325	209	1	an	an	DET
cana-325	209	2	analytical	analytical	ADJ
cana-325	209	3	approach	approach	NOUN
cana-325	209	4	to	to	ADP
cana-325	209	5	the	the	DET
cana-325	209	6	problem	problem	NOUN
cana-325	209	7	of	of	ADP
cana-325	209	8	dispersion	dispersion	NOUN
cana-325	209	9	of	of	ADP
cana-325	209	10	an	an	DET
cana-325	209	11	air	air	NOUN
cana-325	209	12	pollutant	pollutant	ADJ
cana-325	209	13	with	with	ADP
cana-325	209	14	constant	constant	ADJ
cana-325	209	15	wind	wind	NOUN
cana-325	209	16	velocity	velocity	NOUN
cana-325	209	17	and	and	CCONJ
cana-325	209	18	constant	constant	ADJ
cana-325	209	19	removal	removal	NOUN
cana-325	209	20	rate	rate	NOUN
cana-325	209	21	.	.	PUNCT
cana-325	210	1	journal	journal	NOUN
cana-325	210	2	of	of	ADP
cana-325	210	3	the	the	DET
cana-325	210	4	international	international	PROPN
cana-325	210	5	academy	academy	PROPN
cana-325	210	6	of	of	ADP
cana-325	210	7	physical	physical	PROPN
cana-325	210	8	sciences	science	NOUN
cana-325	210	9	,	,	PUNCT
cana-325	210	10	15	15	NUM
cana-325	210	11	,	,	PUNCT
cana-325	210	12	43–50	43–50	NUM
cana-325	210	13	.	.	PUNCT
cana-325	211	1	[	[	X
cana-325	211	2	19	19	NUM
cana-325	211	3	]	]	SYM
cana-325	211	4	wilson	wilson	PROPN
cana-325	211	5	,	,	PUNCT
cana-325	211	6	w.	w.	PROPN
cana-325	211	7	e.	e.	PROPN
cana-325	211	8	and	and	CCONJ
cana-325	211	9	suh	suh	PROPN
cana-325	211	10	,	,	PUNCT
cana-325	211	11	h.	h.	PROPN
cana-325	211	12	h.	h.	PROPN
cana-325	211	13	,(1997	,(1997	PROPN
cana-325	211	14	)	)	PUNCT
cana-325	211	15	.	.	PUNCT
cana-325	212	1	fine	fine	ADJ
cana-325	212	2	particles	particle	NOUN
cana-325	212	3	and	and	CCONJ
cana-325	212	4	coarse	coarse	ADJ
cana-325	212	5	particles	particle	NOUN
cana-325	212	6	:	:	PUNCT
cana-325	212	7	concentration	concentration	NOUN
cana-325	212	8	relationships	relationship	NOUN
cana-325	212	9	relevant	relevant	ADJ
cana-325	212	10	to	to	ADP
cana-325	212	11	epidemiologic	epidemiologic	ADJ
cana-325	212	12	studies	study	NOUN
cana-325	212	13	.	.	PUNCT
cana-325	213	1	j.	j.	PROPN
cana-325	213	2	air	air	PROPN
cana-325	213	3	waste	waste	PROPN
cana-325	213	4	manag	manag	PROPN
cana-325	213	5	assoc	assoc	PROPN
cana-325	213	6	.	.	PROPN
cana-325	213	7	,	,	PUNCT
cana-325	213	8	47:1238–49	47:1238–49	PROPN
cana-325	213	9	.	.	PUNCT
cana-325	214	1	doi	doi	NOUN
cana-325	214	2	:	:	PUNCT
cana-325	214	3	10.1080/10473289.1997.10464074	10.1080/10473289.1997.10464074	NUM
cana-325	214	4	.	.	PUNCT
cana-325	215	1	[	[	X
cana-325	215	2	20	20	NUM
cana-325	215	3	]	]	SYM
cana-325	215	4	wu	wu	PROPN
cana-325	215	5	,	,	PUNCT
cana-325	215	6	m	m	PROPN
cana-325	215	7	;	;	PUNCT
cana-325	215	8	zhang	zhang	PROPN
cana-325	215	9	,	,	PUNCT
cana-325	215	10	g	g	PROPN
cana-325	215	11	;	;	PUNCT
cana-325	215	12	wang	wang	PROPN
cana-325	215	13	,	,	PUNCT
cana-325	215	14	l	l	PROPN
cana-325	215	15	;	;	PUNCT
cana-325	215	16	liu	liu	PROPN
cana-325	215	17	,	,	PUNCT
cana-325	215	18	x	x	X
cana-325	215	19	;	;	PUNCT
cana-325	215	20	and	and	CCONJ
cana-325	215	21	wu	wu	PROPN
cana-325	215	22	,	,	PUNCT
cana-325	215	23	z.(2022	z.(2022	PROPN
cana-325	215	24	)	)	PUNCT
cana-325	215	25	.	.	PUNCT
cana-325	216	1	influencing	influence	VERB
cana-325	216	2	factors	factor	NOUN
cana-325	216	3	on	on	ADP
cana-325	216	4	airflow	airflow	NOUN
cana-325	216	5	and	and	CCONJ
cana-325	216	6	pollutant	pollutant	ADJ
cana-325	216	7	dispersion	dispersion	NOUN
cana-325	216	8	around	around	ADP
cana-325	216	9	buildings	building	NOUN
cana-325	216	10	under	under	ADP
cana-325	216	11	the	the	DET
cana-325	216	12	combined	combined	ADJ
cana-325	216	13	effect	effect	NOUN
cana-325	216	14	of	of	ADP
cana-325	216	15	wind	wind	NOUN
cana-325	216	16	and	and	CCONJ
cana-325	216	17	buoyancy	buoyancy	NOUN
cana-325	216	18	–	–	PUNCT
cana-325	216	19	a	a	DET
cana-325	216	20	review	review	NOUN
cana-325	216	21	.	.	PUNCT
cana-325	217	1	international	international	ADJ
cana-325	217	2	journal	journal	PROPN
cana-325	217	3	of	of	ADP
cana-325	217	4	environmental	environmental	ADJ
cana-325	217	5	research	research	NOUN
cana-325	217	6	and	and	CCONJ
cana-325	217	7	public	public	ADJ
cana-325	217	8	health	health	NOUN
cana-325	217	9	,	,	PUNCT
cana-325	217	10	19	19	NUM
cana-325	217	11	,	,	PUNCT
cana-325	217	12	12895	12895	NUM
cana-325	217	13	.	.	PUNCT
cana-325	218	1	https://doi.org/10.3390/ijerph191912895	https://doi.org/10.3390/ijerph191912895	PROPN
cana-325	218	2	.	.	PUNCT