id	sid	eid	entity	type
cana-1619	1	1	1074	CARDINAL
cana-1619	1	2	32	CARDINAL
cana-1619	1	3	1 (	CARDINAL
cana-1619	1	4	35	CARDINAL
cana-1619	1	5	srinivasan madhumitha1	PERSON
cana-1619	1	6	a. s3	PERSON
cana-1619	1	7	ganapathy	PERSON
cana-1619	1	8	m. suba6	PERSON
cana-1619	2	1	vel tech rangarajan dr	ORG
cana-1619	2	2	sagunthala r&d institute of science and technology	ORG
cana-1619	2	3	600062	DATE
cana-1619	2	4	tamil	NORP
cana-1619	2	5	india	GPE
cana-1619	3	1	2school	PERSON
cana-1619	3	2	indian institute of technology	ORG
cana-1619	3	3	iit	GPE
cana-1619	3	4	jodhpur 342030	GPE
cana-1619	3	5	india	GPE
cana-1619	4	1	3department	CARDINAL
cana-1619	4	2	tamil nadu	LOC
cana-1619	4	3	india	GPE
cana-1619	5	1	4department	PERSON
cana-1619	6	1	601 206	CARDINAL
cana-1619	6	2	india	GPE
cana-1619	7	1	5department	CARDINAL
cana-1619	7	2	601 206	DATE
cana-1619	7	3	india	GPE
cana-1619	9	1	6department	CARDINAL
cana-1619	9	2	mathematics s.a.	ORG
cana-1619	9	3	chennai	GPE
cana-1619	9	4	tamil nadu	LOC
cana-1619	9	5	india	GPE
cana-1619	10	1	06-07-2024	CARDINAL
cana-1619	10	2	21	CARDINAL
cana-1619	10	3	03-09-2024	CARDINAL
cana-1619	10	4	second	ORDINAL
cana-1619	16	1	msc	PERSON
cana-1619	16	2	2010	DATE
cana-1619	16	3	45j05	CARDINAL
cana-1619	16	4	34k30	CARDINAL
cana-1619	16	5	47g20	CARDINAL
cana-1619	16	6	34k20	CARDINAL
cana-1619	16	7	93b05	CARDINAL
cana-1619	16	8	1	CARDINAL
cana-1619	18	1	n. u. ahmed’s	PERSON
cana-1619	19	1	1	CARDINAL
cana-1619	20	1	ahmed	PERSON
cana-1619	20	2	mailto:tguna84@gmail.coma	PRODUCT
cana-1619	20	3	1074	CARDINAL
cana-1619	20	4	32	CARDINAL
cana-1619	20	5	1 (	CARDINAL
cana-1619	20	6	36	CARDINAL
cana-1619	21	1	2	CARDINAL
cana-1619	22	1	lungan	PERSON
cana-1619	23	1	5	CARDINAL
cana-1619	25	1	12,23,24	CARDINAL
cana-1619	26	1	second	ORDINAL
cana-1619	28	1	hazra et al	PERSON
cana-1619	29	1	21	CARDINAL
cana-1619	30	1	han	NORP
cana-1619	31	1	22	CARDINAL
cana-1619	33	1	second	ORDINAL
cana-1619	36	1	anguraj et al	PERSON
cana-1619	41	1	second	ORDINAL
cana-1619	46	1	0	CARDINAL
cana-1619	46	2	𝜑(0	ORG
cana-1619	46	3	1,2,3	CARDINAL
cana-1619	46	4	𝜙′	DATE
cana-1619	47	1	δ′𝜑(ℎ𝜉	DATE
cana-1619	48	1	1	CARDINAL
cana-1619	48	2	1074	CARDINAL
cana-1619	48	3	32	CARDINAL
cana-1619	48	4	1 (	CARDINAL
cana-1619	48	5	2025	DATE
cana-1619	48	6	37	CARDINAL
cana-1619	52	1	∈ 𝐽 𝜑(0	PRODUCT
cana-1619	52	2	𝜑′(0	ORG
cana-1619	52	3	δ′𝜑(ℎ𝜉	DATE
cana-1619	53	1	2	CARDINAL
cana-1619	53	2	∈	ORG
cana-1619	58	1	ω	ORG
cana-1619	58	2	2	CARDINAL
cana-1619	61	1	0 ≤	MONEY
cana-1619	61	2	𝜑(0	PRODUCT
cana-1619	61	3	𝜑′(0	ORG
cana-1619	61	4	3	CARDINAL
cana-1619	61	5	⊆	CARDINAL
cana-1619	62	1	0	CARDINAL
cana-1619	63	1	𝐽 × ω → 𝒮	ORG
cana-1619	67	1	0 ≤	MONEY
cana-1619	67	2	4	CARDINAL
cana-1619	67	3	1	CARDINAL
cana-1619	67	4	∈	ORG
cana-1619	67	5	1	CARDINAL
cana-1619	68	1	2	CARDINAL
cana-1619	69	1	k ∥ φh(⋅	PERSON
cana-1619	69	2	φ	ORG
cana-1619	70	1	𝒟-valued	GPE
cana-1619	70	2	φ	ORG
cana-1619	72	1	1074	CARDINAL
cana-1619	72	2	32	CARDINAL
cana-1619	72	3	1 (	CARDINAL
cana-1619	72	4	38	CARDINAL
cana-1619	72	5	2	CARDINAL
cana-1619	72	6	bounded linear	ORG
cana-1619	72	7	1	CARDINAL
cana-1619	74	1	2t1(ϖ)t1(h	CARDINAL
cana-1619	74	2	2	CARDINAL
cana-1619	76	1	3	CARDINAL
cana-1619	76	2	φ ∈	PERSON
cana-1619	78	1	t2(h)φ = ∫ h 0 t1(ϖ)φ	ORG
cana-1619	78	2	∈ 𝒟andh ∈	ORG
cana-1619	78	3	3	CARDINAL
cana-1619	78	4	one	CARDINAL
cana-1619	79	1	φ(h	ORG
cana-1619	79	2	y(h	PRODUCT
cana-1619	80	1	x0	PERSON
cana-1619	80	2	x(0	PERSON
cana-1619	80	3	limξ→∞xξ(ϱ	ORG
cana-1619	80	4	xξ(h	ORG
cana-1619	81	1	1	CARDINAL
cana-1619	81	2	z. within	PERSON
cana-1619	82	1	z.	PERSON
cana-1619	82	2	1	CARDINAL
cana-1619	83	1	2	CARDINAL
cana-1619	83	2	∈	ORG
cana-1619	83	3	∈	ORG
cana-1619	84	1	2	CARDINAL
cana-1619	84	2	𝒟 ⊂ 𝒮	ORG
cana-1619	84	3	0,1	CARDINAL
cana-1619	84	4	1074	CARDINAL
cana-1619	84	5	32	CARDINAL
cana-1619	84	6	1 (	CARDINAL
cana-1619	84	7	39	CARDINAL
cana-1619	86	1	0	CARDINAL
cana-1619	86	2	φ ∈ 𝒮	ORG
cana-1619	87	1	5	CARDINAL
cana-1619	87	2	φ	ORG
cana-1619	87	3	one	CARDINAL
cana-1619	87	4	φ(h	ORG
cana-1619	88	1	0	CARDINAL
cana-1619	89	1	4	CARDINAL
cana-1619	89	2	0	CARDINAL
cana-1619	90	1	gu = ∫	PERSON
cana-1619	92	1	0	CARDINAL
cana-1619	92	2	∈	PRODUCT
cana-1619	92	3	grammian	NORP
cana-1619	93	1	1	CARDINAL
cana-1619	93	2	3.6	CARDINAL
cana-1619	94	1	lim	PERSON
cana-1619	95	1	3	CARDINAL
cana-1619	95	2	1.1	CARDINAL
cana-1619	97	1	5	CARDINAL
cana-1619	97	2	0	CARDINAL
cana-1619	98	1	1.1	CARDINAL
cana-1619	105	1	− hξ)i′ξ(φ(hξ	PERSON
cana-1619	107	1	j × ω	ORG
cana-1619	107	2	1074	CARDINAL
cana-1619	107	3	32	CARDINAL
cana-1619	107	4	1 (	CARDINAL
cana-1619	107	5	40	CARDINAL
cana-1619	107	6	∈ ω	ORG
cana-1619	107	7	∈	ORG
cana-1619	109	1	𝒟 × ω → 𝒮	ORG
cana-1619	110	1	j → 𝒮	ORG
cana-1619	112	1	𝒟 × ω → 𝒮	ORG
cana-1619	113	1	j → 𝒮	ORG
cana-1619	114	1	g4)let	NORP
cana-1619	114	2	1,2,3	CARDINAL
cana-1619	115	1	ℵ)|| ≤ aξ(ℵ)||x	DATE
cana-1619	115	2	a′ξ(ℵ)||x	PERSON
cana-1619	115	3	j × j × 𝒟 × ω → 𝒮	ORG
cana-1619	116	1	− ρ(h	ORG
cana-1619	116	2	g6	ORG
cana-1619	118	1	+ ϑa ∫	ORG
cana-1619	121	1	0 ||	QUANTITY
cana-1619	123	1	3.1	CARDINAL
cana-1619	123	2	1.1	CARDINAL
cana-1619	124	1	γ(ℵ	WORK_OF_ART
cana-1619	125	1	ω ×	ORG
cana-1619	127	1	∈	ORG
cana-1619	127	2	∈	ORG
cana-1619	131	1	− ϖ)υ(ϖ	GPE
cana-1619	133	1	∈	ORG
cana-1619	133	2	6	CARDINAL
cana-1619	133	3	γ(ℵ	WORK_OF_ART
cana-1619	133	4	2.1	CARDINAL
cana-1619	134	1	1	CARDINAL
cana-1619	134	2	γ(ℵ	WORK_OF_ART
cana-1619	135	1	r(ℵ	GPE
cana-1619	135	2	∈	ORG
cana-1619	135	3	1074	CARDINAL
cana-1619	135	4	32	CARDINAL
cana-1619	135	5	1 (	CARDINAL
cana-1619	135	6	41	CARDINAL
cana-1619	135	7	∈	ORG
cana-1619	135	8	γ(ℵ))ζ ∥pc≤ r(ℵ	ORG
cana-1619	136	1	||𝑇1(ℎ)𝜙0(ℵ)|| + ||𝑇2(ℎ)[𝜙′0(ℵ	PRODUCT
cana-1619	138	1	0	CARDINAL
cana-1619	139	1	𝜛)υ(𝜛	DATE
cana-1619	141	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	143	1	0 ||𝜌(𝜛	PERSON
cana-1619	150	1	ℵ)|| + 𝜗𝑎ℎ𝑏0(ℵ	DATE
cana-1619	153	1	0 ||	QUANTITY
cana-1619	153	2	2	CARDINAL
cana-1619	153	3	γ(ℵ	WORK_OF_ART
cana-1619	154	1	∈	ORG
cana-1619	154	2	∈ 𝐽	ORG
cana-1619	154	3	1074	CARDINAL
cana-1619	154	4	32	CARDINAL
cana-1619	155	1	1 (	CARDINAL
cana-1619	155	2	42	CARDINAL
cana-1619	156	1	− 𝜌(𝜛	PERSON
cana-1619	156	2	𝜁2,𝜛	GPE
cana-1619	157	1	0	CARDINAL
cana-1619	157	2	− 𝜛)υ(𝜛, 𝜁1,𝜛	GPE
cana-1619	157	3	− υ(𝜛	PERSON
cana-1619	157	4	𝜁2,𝜛	DATE
cana-1619	160	1	− 𝐼𝜉(𝜁2(ℎ𝜉	PERSON
cana-1619	160	2	− ℎ𝜉)[𝐼′𝜉(𝜁1(ℎ𝜉	PERSON
cana-1619	161	1	𝐼′𝜉(𝜁2(ℎ𝜉	GPE
cana-1619	161	2	0 ||𝜌(𝜛	PERSON
cana-1619	161	3	− 𝜌(𝜛	PERSON
cana-1619	161	4	𝜁2,𝜛	GPE
cana-1619	162	1	0 ||υ(𝜛	GPE
cana-1619	162	2	− υ(𝜛	PERSON
cana-1619	162	3	𝜁2,𝜛	DATE
cana-1619	163	1	||𝐼𝜉(𝜁1(ℎ𝜉	ORG
cana-1619	166	1	𝐼′𝜉(𝜁2(ℎ𝜉	GPE
cana-1619	170	1	0	CARDINAL
cana-1619	172	1	0	CARDINAL
cana-1619	172	2	∈	ORG
cana-1619	172	3	0	CARDINAL
cana-1619	173	1	∈	ORG
cana-1619	173	2	||((γ(ℵ))𝜁1)(ℎ	ORG
cana-1619	174	1	0	CARDINAL
cana-1619	175	1	γ(ℵ	WORK_OF_ART
cana-1619	176	1	3	CARDINAL
cana-1619	178	1	1074	CARDINAL
cana-1619	178	2	32	CARDINAL
cana-1619	179	1	1 (	CARDINAL
cana-1619	179	2	43	CARDINAL
cana-1619	185	1	0	CARDINAL
cana-1619	185	2	𝜛)υ(𝜛	DATE
cana-1619	186	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	187	1	∈	ORG
cana-1619	191	1	1074	CARDINAL
cana-1619	191	2	32	CARDINAL
cana-1619	191	3	1 (	CARDINAL
cana-1619	191	4	2025	DATE
cana-1619	191	5	44	DATE
cana-1619	199	1	+||∫ ℎ1−𝜖	QUANTITY
cana-1619	201	1	+||∫ ℎ1 ℎ1−𝜖 𝑇1(ℎ2	QUANTITY
cana-1619	203	1	+||∫ ℎ1 ℎ1−𝜖	QUANTITY
cana-1619	210	1	0	CARDINAL
cana-1619	214	1	ℎ1−𝜖	CARDINAL
cana-1619	216	1	ℎ1−𝜖	CARDINAL
cana-1619	222	1	𝑏0(ℵ)]𝑑𝜛	GPE
cana-1619	222	2	zero	CARDINAL
cana-1619	223	1	zero	CARDINAL
cana-1619	223	2	∈	ORG
cana-1619	226	1	∈	ORG
cana-1619	226	2	1074	CARDINAL
cana-1619	226	3	32	CARDINAL
cana-1619	226	4	1 (	CARDINAL
cana-1619	226	5	45	CARDINAL
cana-1619	226	6	𝑇1(ℎ)𝜙0(ℵ	ORG
cana-1619	232	1	𝜛)υ(𝜛	DATE
cana-1619	233	1	∈	ORG
cana-1619	233	2	ℎ−𝜖	GPE
cana-1619	235	1	ℎ−𝜖	GPE
cana-1619	235	2	ℎ−𝜖	GPE
cana-1619	236	1	ℎ−𝜖	GPE
cana-1619	237	1	𝑏0(ℵ)]𝑑𝜛	GPE
cana-1619	237	2	γ1(ℵ))𝜁	ORG
cana-1619	237	3	∈	ORG
cana-1619	238	1	γ1(ℵ))𝜁	ORG
cana-1619	238	2	∈	ORG
cana-1619	239	1	γ1(ℵ))(𝐵𝑟(𝛿	ORG
cana-1619	239	2	γ1(ℵ))(𝐵𝑟(𝛿	ORG
cana-1619	240	1	2.1	CARDINAL
cana-1619	242	1	0	CARDINAL
cana-1619	242	2	∈	ORG
cana-1619	242	3	0	CARDINAL
cana-1619	242	4	1	CARDINAL
cana-1619	242	5	∈ ℬ𝑟	WORK_OF_ART
cana-1619	242	6	− ℎ𝑗)𝐼𝑗(ℬ𝑟∗(0	PERSON
cana-1619	242	7	∈	ORG
cana-1619	243	1	𝑇(ℎ𝜉+1 − ℎ𝑗)𝐼𝑗(ℬ𝑟∗(0	PERSON
cana-1619	243	2	𝑇(ℎ𝜉 − ℎ𝑗)𝐼𝑗(ℬ𝑟∗(0	PERSON
cana-1619	244	1	7	CARDINAL
cana-1619	245	1	1,2	CARDINAL
cana-1619	245	2	2.2	CARDINAL
cana-1619	246	1	4	CARDINAL
cana-1619	247	1	∈	ORG
cana-1619	248	1	∈	ORG
cana-1619	248	2	0	CARDINAL
cana-1619	248	3	1074	CARDINAL
cana-1619	248	4	32	CARDINAL
cana-1619	248	5	1 (	CARDINAL
cana-1619	248	6	2025	DATE
cana-1619	248	7	46	DATE
cana-1619	252	1	0	CARDINAL
cana-1619	252	2	𝜛)υ(𝜛	DATE
cana-1619	254	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	255	1	∈	ORG
cana-1619	255	2	0	CARDINAL
cana-1619	255	3	||𝑇1(ℎ)𝜙0(ℵ)|| + ||𝑇2(ℎ)[𝜙′0(ℵ	PRODUCT
cana-1619	259	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	260	1	1	CARDINAL
cana-1619	260	2	𝑅(ℵ	PERSON
cana-1619	261	1	∈ 𝑃𝐶([𝛿	ORG
cana-1619	262	1	1-3	CARDINAL
cana-1619	262	2	3.1	CARDINAL
cana-1619	263	1	∈	ORG
cana-1619	264	1	2.1	CARDINAL
cana-1619	264	2	𝜁∗(ℎ	NORP
cana-1619	268	1	0	CARDINAL
cana-1619	269	1	0	CARDINAL
cana-1619	273	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	274	1	𝜁∗(ℎ	NORP
cana-1619	274	2	1.1	CARDINAL
cana-1619	275	1	4	CARDINAL
cana-1619	275	2	6	CARDINAL
cana-1619	275	3	1.2	CARDINAL
cana-1619	275	4	0	CARDINAL
cana-1619	275	5	y(h	PRODUCT
cana-1619	275	6	1.2	CARDINAL
cana-1619	276	1	1.2	CARDINAL
cana-1619	277	1	first	ORDINAL
cana-1619	278	1	1.1	CARDINAL
cana-1619	279	1	7	CARDINAL
cana-1619	279	2	1.2	CARDINAL
cana-1619	280	1	1074	CARDINAL
cana-1619	280	2	32	CARDINAL
cana-1619	280	3	1 (	CARDINAL
cana-1619	280	4	47	CARDINAL
cana-1619	285	1	− ϖ)[υ(ϖ	PERSON
cana-1619	289	1	ky = ∫	ORG
cana-1619	289	2	k−1	GPE
cana-1619	289	3	g8	ORG
cana-1619	292	1	0	CARDINAL
cana-1619	293	1	α0 +	DATE
cana-1619	293	2	hξ<ϱ a′ξ(ℵ)||ζ(hξ	GPE
cana-1619	293	3	4.1	CARDINAL
cana-1619	293	4	𝐺1	CARDINAL
cana-1619	293	5	𝐺8	ORG
cana-1619	293	6	1.2	CARDINAL
cana-1619	293	7	𝑦(ℎ	PERSON
cana-1619	296	1	0	CARDINAL
cana-1619	298	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	298	2	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	300	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	302	1	1074	CARDINAL
cana-1619	302	2	32	CARDINAL
cana-1619	302	3	1 (	CARDINAL
cana-1619	302	4	48	DATE
cana-1619	306	1	− 𝜛)[𝜌(𝜛	PERSON
cana-1619	307	1	0	CARDINAL
cana-1619	308	1	0	CARDINAL
cana-1619	308	2	𝜛)𝐵𝑘	MONEY
cana-1619	310	1	0	CARDINAL
cana-1619	311	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	313	1	0<ℎ𝜉<𝜚	TIME
cana-1619	314	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	315	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	315	2	ℵ))]𝑑𝜛 + ∑ 0<ℎ𝜉<ℎ	FAC
cana-1619	316	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	318	1	∈	ORG
cana-1619	322	1	0	CARDINAL
cana-1619	323	1	0	CARDINAL
cana-1619	323	2	𝜛)υ(𝜛	DATE
cana-1619	325	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	327	1	0	CARDINAL
cana-1619	328	1	0	CARDINAL
cana-1619	329	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	329	2	0	CARDINAL
cana-1619	329	3	ℵ)𝑑𝜂 −∑0<ℎ𝜉<𝜚	PERSON
cana-1619	330	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	332	1	ℵ))]𝑑𝜛	GPE
cana-1619	332	2	four	CARDINAL
cana-1619	334	1	1	CARDINAL
cana-1619	335	1	𝑞(ℵ	GPE
cana-1619	335	2	∈	PRODUCT
cana-1619	335	3	∈	ORG
cana-1619	335	4	𝑞(ℵ	GPE
cana-1619	336	1	1074	CARDINAL
cana-1619	336	2	32	CARDINAL
cana-1619	336	3	1 (	CARDINAL
cana-1619	336	4	2025	DATE
cana-1619	336	5	49	CARDINAL
cana-1619	339	1	0	CARDINAL
cana-1619	340	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	340	2	0	CARDINAL
cana-1619	340	3	ℵ)𝑑𝜂 −∑0<ℎ𝜉<𝜚	PERSON
cana-1619	341	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	347	1	0	CARDINAL
cana-1619	349	1	0	CARDINAL
cana-1619	351	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	353	1	ℵ))||]𝑑𝜛	GPE
cana-1619	353	2	0	CARDINAL
cana-1619	356	1	0	CARDINAL
cana-1619	358	1	0	CARDINAL
cana-1619	359	1	𝑎𝜉(ℵ)||𝜁(ℎ𝜉	CARDINAL
cana-1619	359	2	𝛼𝜉]𝑑𝜛	ORG
cana-1619	359	3	9	CARDINAL
cana-1619	359	4	2	CARDINAL
cana-1619	360	1	∈	ORG
cana-1619	360	2	∈ 𝐽.	ORG
cana-1619	361	1	0	CARDINAL
cana-1619	362	1	0	CARDINAL
cana-1619	362	2	0	CARDINAL
cana-1619	362	3	− υ(𝜂	PERSON
cana-1619	362	4	0<ℎ𝜉<𝜚	TIME
cana-1619	365	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	365	2	− ℎ𝜉)[𝐼′𝜉(𝜁1(ℎ𝜉	PERSON
cana-1619	366	1	𝐼′𝜉(𝜁2(ℎ𝜉	GPE
cana-1619	366	2	ℵ))]||]𝑑𝜛	DATE
cana-1619	366	3	0	CARDINAL
cana-1619	366	4	0	CARDINAL
cana-1619	366	5	+∫	GPE
cana-1619	366	6	0	CARDINAL
cana-1619	367	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	367	2	𝛼𝜉]𝑑𝜛	ORG
cana-1619	367	3	∈	ORG
cana-1619	367	4	0	CARDINAL
cana-1619	368	1	∈	ORG
cana-1619	369	1	0	CARDINAL
cana-1619	371	1	γ(ℵ	WORK_OF_ART
cana-1619	372	1	1074	CARDINAL
cana-1619	372	2	32	CARDINAL
cana-1619	372	3	1 (	CARDINAL
cana-1619	372	4	50	CARDINAL
cana-1619	372	5	3	CARDINAL
cana-1619	372	6	γ(ℵ))′2	PERSON
cana-1619	373	1	γ𝑎(ℵ))′2 +	MONEY
cana-1619	374	1	γ𝑎(ℵ))′2	CARDINAL
cana-1619	376	1	0	CARDINAL
cana-1619	376	2	0	CARDINAL
cana-1619	377	1	γ𝑏(ℵ))′2	NORP
cana-1619	377	2	−1	DATE
cana-1619	377	3	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	378	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	379	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	379	2	ℵ))]𝑑𝜛	GPE
cana-1619	379	3	first	ORDINAL
cana-1619	379	4	γ(ℵ))2,𝑎(ℬ𝑟(𝛿	GPE
cana-1619	386	1	0	CARDINAL
cana-1619	387	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	387	2	0	CARDINAL
cana-1619	387	3	0	CARDINAL
cana-1619	390	1	0	CARDINAL
cana-1619	391	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	391	2	0	CARDINAL
cana-1619	393	1	0	CARDINAL
cana-1619	394	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	394	2	0	CARDINAL
cana-1619	398	1	0	CARDINAL
cana-1619	399	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	399	2	0	CARDINAL
cana-1619	402	1	0	CARDINAL
cana-1619	403	1	0	CARDINAL
cana-1619	407	1	+ ∫	GPE
cana-1619	407	2	0	CARDINAL
cana-1619	414	1	+ ∫	GPE
cana-1619	414	2	0	CARDINAL
cana-1619	419	1	0	CARDINAL
cana-1619	420	1	zero	CARDINAL
cana-1619	421	1	zero	CARDINAL
cana-1619	421	2	∈	ORG
cana-1619	422	1	0	CARDINAL
cana-1619	423	1	1074	CARDINAL
cana-1619	423	2	32	CARDINAL
cana-1619	423	3	1 (	CARDINAL
cana-1619	423	4	51	CARDINAL
cana-1619	424	1	γ𝑎(ℵ))′2(ℬ𝑟(𝛿))(ℎ	PERSON
cana-1619	425	1	∈	ORG
cana-1619	425	2	∫ ℎ−𝜖	ORG
cana-1619	425	3	0	CARDINAL
cana-1619	428	1	0	CARDINAL
cana-1619	428	2	0	CARDINAL
cana-1619	428	3	γ(ℵ))′2,𝑎,𝜖𝜁)(ℎ	PERSON
cana-1619	428	4	∈	ORG
cana-1619	428	5	∈	ORG
cana-1619	428	6	∈	ORG
cana-1619	428	7	||((γ𝑎(ℵ))2𝜁)(ℎ	PERSON
cana-1619	429	1	ℎ−𝜖	GPE
cana-1619	430	1	0	CARDINAL
cana-1619	431	1	0	CARDINAL
cana-1619	431	2	ℵ)||𝑑𝜂]𝑑𝜛	GPE
cana-1619	431	3	ℎ−𝜖	GPE
cana-1619	432	1	0	CARDINAL
cana-1619	434	1	0	CARDINAL
cana-1619	435	1	𝑏0(ℵ)]𝑑𝜂]𝑑𝜛	GPE
cana-1619	435	2	∈	ORG
cana-1619	436	1	∈	ORG
cana-1619	437	1	γ𝑎(ℵ))′2	CARDINAL
cana-1619	437	2	γ𝑏(ℵ))′2	NORP
cana-1619	438	1	3	CARDINAL
cana-1619	438	2	3.1(above	CARDINAL
cana-1619	438	3	γ𝑏(ℵ))′2	NORP
cana-1619	439	1	4	CARDINAL
cana-1619	439	2	𝜁 ∉ 𝜆(γ(ℵ))′(𝜁	ORG
cana-1619	439	3	∈	ORG
cana-1619	439	4	∈	ORG
cana-1619	439	5	∈	ORG
cana-1619	439	6	∈	ORG
cana-1619	439	7	1	CARDINAL
cana-1619	439	8	∈	ORG
cana-1619	439	9	0	CARDINAL
cana-1619	439	10	1074	CARDINAL
cana-1619	439	11	32	CARDINAL
cana-1619	439	12	1 (	CARDINAL
cana-1619	440	1	52	CARDINAL
cana-1619	441	1	0	CARDINAL
cana-1619	444	1	0	CARDINAL
cana-1619	444	2	𝜛)υ(𝜛	DATE
cana-1619	445	1	0	CARDINAL
cana-1619	446	1	𝜛)𝐵𝑘	MONEY
cana-1619	448	1	0	CARDINAL
cana-1619	448	2	0	CARDINAL
cana-1619	450	1	0<ℎ𝜉<𝜚	TIME
cana-1619	450	2	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	452	1	0<ℎ𝜉<𝜚	CARDINAL
cana-1619	453	1	ℵ))]𝑑𝜛	GPE
cana-1619	455	1	ℎ𝜉)𝐼𝜉(𝜁(ℎ𝜉	MONEY
cana-1619	456	1	1	CARDINAL
cana-1619	456	2	3.1	CARDINAL
cana-1619	456	3	3.2	DATE
cana-1619	456	4	𝑅(ℵ	PERSON
cana-1619	457	1	∈ 𝑃𝐶([𝛿	ORG
cana-1619	460	1	1-3	CARDINAL
cana-1619	460	2	3.2	CARDINAL
cana-1619	461	1	∈	ORG
cana-1619	461	2	∈	ORG
cana-1619	462	1	lemma 2.1	ORG
cana-1619	462	2	𝜁∗(ℎ	NORP
cana-1619	467	1	0	CARDINAL
cana-1619	467	2	𝜛)υ(𝜛	DATE
cana-1619	468	1	0	CARDINAL
cana-1619	470	1	0	CARDINAL
cana-1619	470	2	∗	CARDINAL
cana-1619	471	1	ℵ)𝑑𝜂 − ∫	ORG
cana-1619	471	2	0	CARDINAL
cana-1619	471	3	∗	CARDINAL
cana-1619	472	1	−∑0<ℎ𝜉<𝜚	ORG
cana-1619	473	1	ℵ))]𝑑𝜛	GPE
cana-1619	476	1	𝜁∗(ℎ	NORP
cana-1619	476	2	𝜁∗(ℎ	NORP
cana-1619	476	3	1.2	CARDINAL
cana-1619	477	1	5	CARDINAL
cana-1619	478	1	first	ORDINAL
cana-1619	479	1	𝜋	PERSON
cana-1619	479	2	𝜑 ∈ 𝒮	ORG
cana-1619	479	3	𝜑(0	ORG
cana-1619	479	4	⊆	CARDINAL
cana-1619	480	1	𝐴	ORG
cana-1619	480	2	∈	ORG
cana-1619	480	3	2	CARDINAL
cana-1619	480	4	1/2	DATE
cana-1619	481	1	1074	CARDINAL
cana-1619	481	2	32	CARDINAL
cana-1619	481	3	1 (	CARDINAL
cana-1619	482	1	53	CARDINAL
cana-1619	482	2	𝑧(ℎ	GPE
cana-1619	482	3	𝑧(cosℎ	GPE
cana-1619	483	1	𝜕𝑥2 𝑧(ℎ	ORG
cana-1619	484	1	∈	ORG
cana-1619	484	2	11	CARDINAL
cana-1619	484	3	δ′𝑧(ℎ𝜉	GPE
cana-1619	484	4	1	CARDINAL
cana-1619	484	5	12	CARDINAL
cana-1619	484	6	0	DATE
cana-1619	484	7	𝑧(ℎ	DATE
cana-1619	484	8	𝜋	ORG
cana-1619	484	9	0	CARDINAL
cana-1619	484	10	𝑧(0	DATE
cana-1619	484	11	𝑧ℎ(0	CARDINAL
cana-1619	485	1	0,1	CARDINAL
cana-1619	485	2	0 ≤	QUANTITY
cana-1619	485	3	13	CARDINAL
cana-1619	485	4	𝑧(0	DATE
cana-1619	485	5	𝑧ℎ(0	CARDINAL
cana-1619	485	6	0 ≤	MONEY
cana-1619	486	1	14	CARDINAL
cana-1619	486	2	1	CARDINAL
cana-1619	487	1	0	CARDINAL
cana-1619	487	2	0	CARDINAL
cana-1619	487	3	1,1	CARDINAL
cana-1619	487	4	∫	ORG
cana-1619	488	1	2	CARDINAL
cana-1619	488	2	1 2	CARDINAL
cana-1619	488	3	∫	ORG
cana-1619	488	4	2	CARDINAL
cana-1619	488	5	1 2	CARDINAL
cana-1619	488	6	1,2	CARDINAL
cana-1619	488	7	ℵ)(𝑥	GPE
cana-1619	489	1	𝑧(cosℎ	GPE
cana-1619	489	2	ℵ)(𝑥	GPE
cana-1619	489	3	ℵ)(𝑥	GPE
cana-1619	489	4	1,2	CARDINAL
cana-1619	490	1	𝑚 𝐼′𝜉(𝑧	PERSON
cana-1619	490	2	ℵ)(𝑥	GPE
cana-1619	491	1	1,2	CARDINAL
cana-1619	493	1	5.13-5.16	CARDINAL
cana-1619	493	2	1.1	CARDINAL
cana-1619	494	1	3.1	CARDINAL
cana-1619	495	1	3.1	CARDINAL
cana-1619	495	2	5.13-5.16	CARDINAL
cana-1619	495	3	𝐽. 6	FAC
cana-1619	495	4	second	ORDINAL
cana-1619	497	1	1074	CARDINAL
cana-1619	497	2	32	CARDINAL
cana-1619	497	3	1 (	CARDINAL
cana-1619	497	4	2025	CARDINAL
cana-1619	497	5	54	CARDINAL
cana-1619	501	1	1	CARDINAL
cana-1619	501	2	1991	DATE
cana-1619	503	1	new york	GPE
cana-1619	503	2	wiley	PERSON
cana-1619	504	1	2	CARDINAL
cana-1619	504	2	s., & benchohra	ORG
cana-1619	504	3	m. (	PERSON
cana-1619	504	4	2008	DATE
cana-1619	506	1	9, 395406	DATE
cana-1619	507	1	3	CARDINAL
cana-1619	507	2	b. c.	PERSON
cana-1619	507	3	s. k.	PERSON
cana-1619	507	4	2010	DATE
cana-1619	508	1	first	ORDINAL
cana-1619	509	1	30	DATE
cana-1619	509	2	411	CARDINAL
cana-1619	510	1	4	CARDINAL
cana-1619	510	2	b. c.	PERSON
cana-1619	510	3	2009	DATE
cana-1619	512	1	panamer	PERSON
cana-1619	513	1	j.	PERSON
cana-1619	513	2	19	DATE
cana-1619	513	3	97	CARDINAL
cana-1619	514	1	5	CARDINAL
cana-1619	514	2	c.	PERSON
cana-1619	514	3	2013	DATE
cana-1619	516	1	33	DATE
cana-1619	516	2	323?335	DATE
cana-1619	517	1	6	CARDINAL
cana-1619	517	2	a.	PERSON
cana-1619	517	3	1983	DATE
cana-1619	518	1	linear operators	ORG
cana-1619	519	1	new york	GPE
cana-1619	520	1	7	CARDINAL
cana-1619	520	2	& padgett	PERSON
cana-1619	520	3	w. j. (	PERSON
cana-1619	520	4	1974	DATE
cana-1619	522	1	new york	GPE
cana-1619	524	1	8	CARDINAL
cana-1619	524	2	reddy cs	PERSON
cana-1619	524	3	kumar eb	PERSON
cana-1619	525	1	runge-kutta	PERSON
cana-1619	526	1	algebraic statistics	ORG
cana-1619	527	1	2022	CARDINAL
cana-1619	528	1	9	CARDINAL
cana-1619	528	2	m. b.	PERSON
cana-1619	528	3	k. d.	PERSON
cana-1619	528	4	2012	DATE
cana-1619	529	1	second	ORDINAL
cana-1619	530	1	malaya journal of mathematics	ORG
cana-1619	530	2	1(1	CARDINAL
cana-1619	531	1	10	CARDINAL
cana-1619	531	2	h. l.	PERSON
cana-1619	531	3	m. b.	PERSON
cana-1619	531	4	2010	DATE
cana-1619	531	5	second	ORDINAL
cana-1619	532	1	de mathematica	PERSON
cana-1619	533	1	73?81	DATE
cana-1619	534	1	11	CARDINAL
cana-1619	534	2	m., & taddei	ORG
cana-1619	534	3	2022	CARDINAL
cana-1619	535	1	second	ORDINAL
cana-1619	535	2	10	CARDINAL
cana-1619	535	3	672	CARDINAL
cana-1619	536	1	12	CARDINAL
cana-1619	536	2	m. l.	PERSON
cana-1619	536	3	gunasekar	ORG
cana-1619	536	4	t., & samuel	ORG
cana-1619	536	5	f. p.	PERSON
cana-1619	536	6	2017	CARDINAL
cana-1619	538	1	116(23	DATE
cana-1619	538	2	337	CARDINAL
cana-1619	539	1	13	CARDINAL
cana-1619	539	2	m. b.	PERSON
cana-1619	539	3	k. d.	PERSON
cana-1619	539	4	2012	DATE
cana-1619	541	1	demonstratio mathematica	PERSON
cana-1619	541	2	45(1	CARDINAL
cana-1619	541	3	117	CARDINAL
cana-1619	542	1	14	CARDINAL
cana-1619	542	2	t. l.	PERSON
cana-1619	544	1	today	DATE
cana-1619	544	2	47	CARDINAL
cana-1619	544	3	2021	CARDINAL
cana-1619	544	4	6101-6104	DATE
cana-1619	545	1	15	CARDINAL
cana-1619	545	2	hino	PERSON
cana-1619	545	3	s., & naito	ORG
cana-1619	545	4	t.	GPE
cana-1619	545	5	1991	DATE
cana-1619	547	1	berlin	GPE
cana-1619	548	1	16	CARDINAL
cana-1619	548	2	g. f. (	PERSON
cana-1619	548	3	1978	DATE
cana-1619	550	1	houston journal of mathematics,	ORG
cana-1619	550	2	3	CARDINAL
cana-1619	550	3	555	CARDINAL
cana-1619	551	1	17	CARDINAL
cana-1619	551	2	b. g.	PERSON
cana-1619	551	3	2006	DATE
cana-1619	553	1	north-	NORP
cana-1619	554	1	b.v.	GPE
cana-1619	554	2	amsterdam	GPE
cana-1619	555	1	18	CARDINAL
cana-1619	555	2	s., & yamamoto	ORG
cana-1619	555	3	r.	PERSON
cana-1619	555	4	1989	DATE
cana-1619	557	1	49(5	CARDINAL
cana-1619	557	2	1489?1504	CARDINAL
cana-1619	558	1	19	CARDINAL
cana-1619	558	2	k.	PERSON
cana-1619	558	3	s. marshal anthoni	PERSON
cana-1619	559	1	second	ORDINAL
cana-1619	560	1	41.10-11	MONEY
cana-1619	560	2	2001	DATE
cana-1619	560	3	1223-1235	CARDINAL
cana-1619	561	1	20	CARDINAL
cana-1619	563	1	arxiv preprint communications	ORG
cana-1619	563	2	1074	CARDINAL
cana-1619	563	3	32	CARDINAL
cana-1619	563	4	1 (	CARDINAL
cana-1619	563	5	55	CARDINAL
cana-1619	563	6	2024	CARDINAL
cana-1619	564	1	21	CARDINAL
cana-1619	564	2	r.	NORP
cana-1619	564	3	singh	GPE
cana-1619	564	4	m., goyal	PERSON
cana-1619	564	5	adhikari	PERSON
cana-1619	564	6	b., & mukherjee	ORG
cana-1619	564	7	a.	PERSON
cana-1619	564	8	2023	CARDINAL
cana-1619	565	1	4(4	CARDINAL
cana-1619	565	2	045001	DATE
cana-1619	566	1	22	CARDINAL
cana-1619	566	2	han	NORP
cana-1619	567	1	4.2	CARDINAL
cana-1619	567	2	2023): 025006	DATE
cana-1619	568	1	23	CARDINAL
cana-1619	568	2	g. v.	PERSON
cana-1619	568	3	s. manimaran	PERSON
cana-1619	568	4	t. gunasekar	ORG
cana-1619	568	5	m. suba	PERSON
cana-1619	569	1	second	ORDINAL
cana-1619	570	1	18	CARDINAL
cana-1619	570	2	1	CARDINAL
cana-1619	570	3	2015	CARDINAL
cana-1619	570	4	1-30	CARDINAL
cana-1619	571	1	24	CARDINAL
cana-1619	571	2	s.	PERSON
cana-1619	571	3	t. gunasekar	PERSON
cana-1619	571	4	g. v. subramaniyan	PERSON
cana-1619	571	5	m. suba	PERSON
cana-1619	573	1	10	CARDINAL
cana-1619	573	2	6	CARDINAL
cana-1619	573	3	2014	DATE
cana-1619	573	4	817	CARDINAL