id	sid	eid	entity	type
ejpam-6541	1	1	european journal	ORG
ejpam-6541	1	2	2025	DATE
ejpam-6541	1	3	18	CARDINAL
ejpam-6541	1	4	4	CARDINAL
ejpam-6541	1	5	6541	CARDINAL
ejpam-6541	1	6	new york	GPE
ejpam-6541	1	7	linear	ORG
ejpam-6541	1	8	krishnamoorthy kavitha1	PERSON
ejpam-6541	1	9	1	CARDINAL
ejpam-6541	1	10	muthurangam government arts college	ORG
ejpam-6541	1	11	vellore	PERSON
ejpam-6541	1	12	vellore-632002	DATE
ejpam-6541	1	13	tamil	NORP
ejpam-6541	1	14	india	GPE
ejpam-6541	1	15	2	CARDINAL
ejpam-6541	1	16	muthurangam government arts college	ORG
ejpam-6541	1	17	vellore	PERSON
ejpam-6541	1	18	vellore-632002	DATE
ejpam-6541	1	19	tamil	NORP
ejpam-6541	1	20	india	GPE
ejpam-6541	4	1	2020	DATE
ejpam-6541	4	2	00a05	CARDINAL
ejpam-6541	4	3	00a22	CARDINAL
ejpam-6541	4	4	normed linear	ORG
ejpam-6541	4	5	1	CARDINAL
ejpam-6541	4	6	1965	DATE
ejpam-6541	4	7	zadeh	CARDINAL
ejpam-6541	5	1	1	CARDINAL
ejpam-6541	6	1	zadeh	ORG
ejpam-6541	7	1	2],[3	CARDINAL
ejpam-6541	7	2	two	CARDINAL
ejpam-6541	7	3	one	CARDINAL
ejpam-6541	9	1	hahn	PERSON
ejpam-6541	9	2	4	CARDINAL
ejpam-6541	11	1	k. kavitha	PERSON
ejpam-6541	13	1	1	CARDINAL
ejpam-6541	13	2	2025	CARDINAL
ejpam-6541	14	1	k. kavitha	PERSON
ejpam-6541	15	1	j. pure	PERSON
ejpam-6541	15	2	18	CARDINAL
ejpam-6541	15	3	4	CARDINAL
ejpam-6541	15	4	2025	CARDINAL
ejpam-6541	15	5	6541 2	DATE
ejpam-6541	15	6	14	DATE
ejpam-6541	16	1	5	CARDINAL
ejpam-6541	18	1	6	CARDINAL
ejpam-6541	19	1	two	CARDINAL
ejpam-6541	22	1	atanassov	ORG
ejpam-6541	22	2	8	CARDINAL
ejpam-6541	24	1	9	CARDINAL
ejpam-6541	26	1	9	CARDINAL
ejpam-6541	27	1	linear	ORG
ejpam-6541	28	1	t.k. mandal	PERSON
ejpam-6541	28	2	samanta	ORG
ejpam-6541	28	3	10],[11].[12	CARDINAL
ejpam-6541	28	4	n. thillaigovindan et	PERSON
ejpam-6541	30	1	vijayabalaji et al	PERSON
ejpam-6541	31	1	13	CARDINAL
ejpam-6541	33	1	10	CARDINAL
ejpam-6541	33	2	samanta	GPE
ejpam-6541	34	1	14	CARDINAL
ejpam-6541	37	1	0	CARDINAL
ejpam-6541	37	2	1	CARDINAL
ejpam-6541	37	3	∗	CARDINAL
ejpam-6541	37	4	max	PERSON
ejpam-6541	39	1	m(x1	DATE
ejpam-6541	40	1	+ m(x1	DATE
ejpam-6541	42	1	section 2	LAW
ejpam-6541	43	1	section 3 and section 4	LAW
ejpam-6541	44	1	2	CARDINAL
ejpam-6541	45	1	1	CARDINAL
ejpam-6541	46	1	15	CARDINAL
ejpam-6541	47	1	0	CARDINAL
ejpam-6541	47	2	1	CARDINAL
ejpam-6541	47	3	0	CARDINAL
ejpam-6541	47	4	1	CARDINAL
ejpam-6541	47	5	0	CARDINAL
ejpam-6541	47	6	1	CARDINAL
ejpam-6541	48	1	k. kavitha	PERSON
ejpam-6541	49	1	j. pure	PERSON
ejpam-6541	49	2	18	CARDINAL
ejpam-6541	49	3	4	CARDINAL
ejpam-6541	49	4	2025	CARDINAL
ejpam-6541	49	5	6541 3	DATE
ejpam-6541	52	1	0	CARDINAL
ejpam-6541	52	2	1	CARDINAL
ejpam-6541	53	1	a11∗b11 ≤ c11∗d11	PERSON
ejpam-6541	53	2	d11	ORG
ejpam-6541	53	3	d11 ∈	ORG
ejpam-6541	54	1	0	CARDINAL
ejpam-6541	54	2	1	CARDINAL
ejpam-6541	56	1	2	CARDINAL
ejpam-6541	57	1	15	CARDINAL
ejpam-6541	58	1	0	CARDINAL
ejpam-6541	58	2	1]×	CARDINAL
ejpam-6541	59	1	0	CARDINAL
ejpam-6541	59	2	1	CARDINAL
ejpam-6541	59	3	0	CARDINAL
ejpam-6541	59	4	1	CARDINAL
ejpam-6541	61	1	1	CARDINAL
ejpam-6541	62	1	0	CARDINAL
ejpam-6541	62	2	1	CARDINAL
ejpam-6541	63	1	a11⋄b11	ORG
ejpam-6541	63	2	c11⋄d11	ORG
ejpam-6541	63	3	d11	ORG
ejpam-6541	63	4	d11 ∈	ORG
ejpam-6541	64	1	0	CARDINAL
ejpam-6541	64	2	1	CARDINAL
ejpam-6541	66	1	3	CARDINAL
ejpam-6541	67	1	16	CARDINAL
ejpam-6541	67	2	algebraic operations +	PERSON
ejpam-6541	68	1	+ k1b1	PERSON
ejpam-6541	68	2	1.a1	CARDINAL
ejpam-6541	68	3	∈	ORG
ejpam-6541	69	1	4	CARDINAL
ejpam-6541	70	1	17	CARDINAL
ejpam-6541	71	1	0,∞	DATE
ejpam-6541	71	2	0	CARDINAL
ejpam-6541	71	3	∈	ORG
ejpam-6541	71	4	1	CARDINAL
ejpam-6541	71	5	0	CARDINAL
ejpam-6541	72	1	0	CARDINAL
ejpam-6541	74	1	∈	ORG
ejpam-6541	74	2	x,∀	GPE
ejpam-6541	75	1	0	CARDINAL
ejpam-6541	75	2	∈	ORG
ejpam-6541	75	3	x,∀	GPE
ejpam-6541	76	1	0	CARDINAL
ejpam-6541	78	1	1	CARDINAL
ejpam-6541	79	1	5	CARDINAL
ejpam-6541	80	1	16	CARDINAL
ejpam-6541	82	1	0	CARDINAL
ejpam-6541	82	2	1	CARDINAL
ejpam-6541	82	3	0	CARDINAL
ejpam-6541	82	4	0	DATE
ejpam-6541	83	1	∈	ORG
ejpam-6541	84	1	0	CARDINAL
ejpam-6541	85	1	k. kavitha	PERSON
ejpam-6541	86	1	j. pure	PERSON
ejpam-6541	86	2	18	CARDINAL
ejpam-6541	86	3	4	CARDINAL
ejpam-6541	86	4	2025	CARDINAL
ejpam-6541	86	5	6541 4	DATE
ejpam-6541	87	1	∈	PRODUCT
ejpam-6541	87	2	∀x	GPE
ejpam-6541	87	3	∀ t1	PERSON
ejpam-6541	87	4	0	CARDINAL
ejpam-6541	89	1	6	CARDINAL
ejpam-6541	90	1	16	CARDINAL
ejpam-6541	90	2	h(vn	CARDINAL
ejpam-6541	91	1	∀ n ≥ n.	ORG
ejpam-6541	93	1	7	CARDINAL
ejpam-6541	94	1	16	CARDINAL
ejpam-6541	94	2	⊂	GPE
ejpam-6541	94	3	0	CARDINAL
ejpam-6541	95	1	h(vm − vn	ORG
ejpam-6541	96	1	3	CARDINAL
ejpam-6541	98	1	8	DATE
ejpam-6541	101	1	9	DATE
ejpam-6541	102	1	w	NORP
ejpam-6541	102	2	w	GPE
ejpam-6541	102	3	w ⊆	CARDINAL
ejpam-6541	103	1	1	CARDINAL
ejpam-6541	104	1	w converges	GPE
ejpam-6541	104	2	w.	PERSON
ejpam-6541	104	3	10	DATE
ejpam-6541	105	1	11	DATE
ejpam-6541	107	1	12	CARDINAL
ejpam-6541	108	1	∈	ORG
ejpam-6541	109	1	0	CARDINAL
ejpam-6541	109	2	1	CARDINAL
ejpam-6541	110	1	0	CARDINAL
ejpam-6541	110	2	1	CARDINAL
ejpam-6541	111	1	two	CARDINAL
ejpam-6541	112	1	∅∗	PERSON
ejpam-6541	112	2	3	CARDINAL
ejpam-6541	112	3	⊂	GPE
ejpam-6541	113	1	⊆	CARDINAL
ejpam-6541	113	2	3 ∗	CARDINAL
ejpam-6541	121	1	∅∗ ⊆	ORG
ejpam-6541	121	2	⊆	CARDINAL
ejpam-6541	121	3	k. kavitha	PERSON
ejpam-6541	122	1	j. pure	PERSON
ejpam-6541	122	2	18	CARDINAL
ejpam-6541	122	3	4	CARDINAL
ejpam-6541	122	4	2025	CARDINAL
ejpam-6541	122	5	6541 5	DATE
ejpam-6541	122	6	14	DATE
ejpam-6541	123	1	1 ≤	QUANTITY
ejpam-6541	124	1	1 ≤	QUANTITY
ejpam-6541	131	1	h(vm	ORG
ejpam-6541	131	2	1	CARDINAL
ejpam-6541	132	1	0	CARDINAL
ejpam-6541	134	1	2	CARDINAL
ejpam-6541	136	1	w	ORG
ejpam-6541	138	1	w.	PERSON
ejpam-6541	138	2	dim w = n	PERSON
ejpam-6541	140	1	w.	PERSON
ejpam-6541	143	1	1	CARDINAL
ejpam-6541	144	1	3	CARDINAL
ejpam-6541	144	2	⊂	GPE
ejpam-6541	144	3	3	CARDINAL
ejpam-6541	147	1	⊆	CARDINAL
ejpam-6541	147	2	3	CARDINAL
ejpam-6541	148	1	5	CARDINAL
ejpam-6541	151	1	1 ≤ j ≤ n.	QUANTITY
ejpam-6541	151	2	∈	ORG
ejpam-6541	153	1	∩	PERSON
ejpam-6541	154	1	∩	PERSON
ejpam-6541	154	2	∩	PERSON
ejpam-6541	156	1	wj	GPE
ejpam-6541	157	1	3j)for	CARDINAL
ejpam-6541	157	2	3j	CARDINAL
ejpam-6541	158	1	⊂	GPE
ejpam-6541	158	2	j = 1	PERSON
ejpam-6541	158	3	2	DATE
ejpam-6541	159	1	∩	PERSON
ejpam-6541	159	2	u∗\s∗32)∩	NORP
ejpam-6541	160	1	∩	PERSON
ejpam-6541	161	1	3	CARDINAL
ejpam-6541	161	2	normed	ORG
ejpam-6541	162	1	4	CARDINAL
ejpam-6541	164	1	13	CARDINAL
ejpam-6541	165	1	18	CARDINAL
ejpam-6541	165	2	∗	CARDINAL
ejpam-6541	165	3	k. kavitha	PERSON
ejpam-6541	166	1	j. pure	PERSON
ejpam-6541	166	2	18	CARDINAL
ejpam-6541	166	3	4	CARDINAL
ejpam-6541	166	4	2025	CARDINAL
ejpam-6541	166	5	6541 6	DATE
ejpam-6541	166	6	14	CARDINAL
ejpam-6541	168	1	0	CARDINAL
ejpam-6541	169	1	1	CARDINAL
ejpam-6541	169	2	0	CARDINAL
ejpam-6541	169	3	t11 |c|	PERSON
ejpam-6541	169	4	∈	ORG
ejpam-6541	170	1	vi	PERSON
ejpam-6541	171	1	1	CARDINAL
ejpam-6541	171	2	0	CARDINAL
ejpam-6541	173	1	0	CARDINAL
ejpam-6541	174	1	t11 |c|	PERSON
ejpam-6541	174	2	∈	ORG
ejpam-6541	176	1	0	CARDINAL
ejpam-6541	177	1	5−tuple	CARDINAL
ejpam-6541	177	2	mi	PERSON
ejpam-6541	177	3	ni	PERSON
ejpam-6541	178	1	14	DATE
ejpam-6541	180	1	19	CARDINAL
ejpam-6541	180	2	0	CARDINAL
ejpam-6541	180	3	1	CARDINAL
ejpam-6541	180	4	h(x	PERSON
ejpam-6541	182	1	∈	ORG
ejpam-6541	183	1	0	CARDINAL
ejpam-6541	183	2	1	CARDINAL
ejpam-6541	185	1	max(h(x))+min(h ′	PRODUCT
ejpam-6541	189	1	15	CARDINAL
ejpam-6541	191	1	19	CARDINAL
ejpam-6541	192	1	∗	CARDINAL
ejpam-6541	193	1	⊆	CARDINAL
ejpam-6541	196	1	k. kavitha	PERSON
ejpam-6541	197	1	j. pure	PERSON
ejpam-6541	197	2	18	CARDINAL
ejpam-6541	197	3	4	CARDINAL
ejpam-6541	197	4	2025	CARDINAL
ejpam-6541	197	5	6541 7	DATE
ejpam-6541	197	6	t11 |c|	PERSON
ejpam-6541	198	1	∈	ORG
ejpam-6541	198	2	∗ ni(y11	ORG
ejpam-6541	198	3	⊆	CARDINAL
ejpam-6541	199	1	vi	PERSON
ejpam-6541	200	1	0	CARDINAL
ejpam-6541	201	1	t11 |c|	PERSON
ejpam-6541	202	1	∈	ORG
ejpam-6541	203	1	16	CARDINAL
ejpam-6541	205	1	19	CARDINAL
ejpam-6541	205	2	hihf	PERSON
ejpam-6541	207	1	19	CARDINAL
ejpam-6541	207	2	∀x	GPE
ejpam-6541	207	3	∈	ORG
ejpam-6541	207	4	r.	NORP
ejpam-6541	207	5	all s∗1	DATE
ejpam-6541	207	6	2	CARDINAL
ejpam-6541	207	7	1],s∗1 ∗	CARDINAL
ejpam-6541	208	1	ni(x1	DATE
ejpam-6541	211	1	0	CARDINAL
ejpam-6541	211	2	∈	ORG
ejpam-6541	211	3	1	CARDINAL
ejpam-6541	211	4	1	CARDINAL
ejpam-6541	212	1	mi(x1	EVENT
ejpam-6541	215	1	∅∗	PERSON
ejpam-6541	215	2	0	CARDINAL
ejpam-6541	215	3	∈	ORG
ejpam-6541	215	4	1	CARDINAL
ejpam-6541	215	5	1	CARDINAL
ejpam-6541	216	1	17	CARDINAL
ejpam-6541	219	1	18	CARDINAL
ejpam-6541	220	1	19	CARDINAL
ejpam-6541	220	2	1	CARDINAL
ejpam-6541	220	3	0	CARDINAL
ejpam-6541	221	1	1 ⊂	PERCENT
ejpam-6541	221	2	n0 ∈	ORG
ejpam-6541	222	1	nihf	PERSON
ejpam-6541	223	1	1	CARDINAL
ejpam-6541	224	1	1	CARDINAL
ejpam-6541	224	2	n0	GPE
ejpam-6541	224	3	4	CARDINAL
ejpam-6541	225	1	19	CARDINAL
ejpam-6541	225	2	hihf	PERSON
ejpam-6541	226	1	5	CARDINAL
ejpam-6541	227	1	19	CARDINAL
ejpam-6541	227	2	hihf	PERSON
ejpam-6541	228	1	k. kavitha	PERSON
ejpam-6541	229	1	j. pure	PERSON
ejpam-6541	229	2	18	CARDINAL
ejpam-6541	229	3	4	CARDINAL
ejpam-6541	229	4	2025	CARDINAL
ejpam-6541	229	5	6541 8	DATE
ejpam-6541	229	6	14	CARDINAL
ejpam-6541	229	7	2	CARDINAL
ejpam-6541	229	8	hihf	PERSON
ejpam-6541	231	1	0	CARDINAL
ejpam-6541	231	2	0	DATE
ejpam-6541	231	3	1	CARDINAL
ejpam-6541	231	4	1	CARDINAL
ejpam-6541	233	1	1	CARDINAL
ejpam-6541	233	2	2	CARDINAL
ejpam-6541	233	3	1	CARDINAL
ejpam-6541	234	1	nihf	PERSON
ejpam-6541	235	1	n∑ k=1	PERSON
ejpam-6541	238	1	1	CARDINAL
ejpam-6541	238	2	1	CARDINAL
ejpam-6541	239	1	n∑ k=1	PERSON
ejpam-6541	240	1	2	CARDINAL
ejpam-6541	240	2	2	CARDINAL
ejpam-6541	243	1	0	CARDINAL
ejpam-6541	243	2	0	CARDINAL
ejpam-6541	243	3	∀k	DATE
ejpam-6541	243	4	1	CARDINAL
ejpam-6541	243	5	2	DATE
ejpam-6541	245	1	u∗\s∗1	ORG
ejpam-6541	245	2	∈	ORG
ejpam-6541	245	3	1	CARDINAL
ejpam-6541	246	1	0	CARDINAL
ejpam-6541	247	1	1	CARDINAL
ejpam-6541	248	1	1	CARDINAL
ejpam-6541	248	2	3	CARDINAL
ejpam-6541	249	1	1	CARDINAL
ejpam-6541	249	2	∈	ORG
ejpam-6541	249	3	1	CARDINAL
ejpam-6541	250	1	3	CARDINAL
ejpam-6541	251	1	0	CARDINAL
ejpam-6541	251	2	1	CARDINAL
ejpam-6541	251	3	1	CARDINAL
ejpam-6541	252	1	∑n k=1	PERSON
ejpam-6541	252	2	1	CARDINAL
ejpam-6541	252	3	nihf	PERSON
ejpam-6541	253	1	1	CARDINAL
ejpam-6541	253	2	1	CARDINAL
ejpam-6541	253	3	2	DATE
ejpam-6541	255	1	1	CARDINAL
ejpam-6541	255	2	2	CARDINAL
ejpam-6541	260	1	1	CARDINAL
ejpam-6541	260	2	1	CARDINAL
ejpam-6541	261	1	1 x1 +	QUANTITY
ejpam-6541	263	1	∑n k=1 |ωm	PERSON
ejpam-6541	265	1	1	CARDINAL
ejpam-6541	265	2	0 ≤ |ωm	QUANTITY
ejpam-6541	267	1	1	CARDINAL
ejpam-6541	267	2	2	DATE
ejpam-6541	268	1	n. consequently	PERSON
ejpam-6541	268	2	1	CARDINAL
ejpam-6541	269	1	2	CARDINAL
ejpam-6541	271	1	∑n k=1 η	PERSON
ejpam-6541	271	2	k xk	PERSON
ejpam-6541	271	3	∑n k=1 |ηmk	PERSON
ejpam-6541	271	4	1	CARDINAL
ejpam-6541	272	1	limm→∞nihf	PERSON
ejpam-6541	272	2	− y	PERSON
ejpam-6541	272	3	0	CARDINAL
ejpam-6541	273	1	nihf	PERSON
ejpam-6541	273	2	− y	PERSON
ejpam-6541	273	3	nihf	PERSON
ejpam-6541	273	4	∑n k=1(η m k − ωk)xk	PERSON
ejpam-6541	273	5	nihf	PERSON
ejpam-6541	273	6	x1	ORG
ejpam-6541	273	7	t n|ηm1	GPE
ejpam-6541	273	8	∗	CARDINAL
ejpam-6541	273	9	∗ nihf	PERSON
ejpam-6541	273	10	limm→∞nihf	PERSON
ejpam-6541	273	11	m−y	PERSON
ejpam-6541	273	12	limm→∞nihf	PERSON
ejpam-6541	273	13	x1	ORG
ejpam-6541	273	14	∗limm→∞nihf	PERSON
ejpam-6541	273	15	limm→∞nihf	PERSON
ejpam-6541	273	16	m−y	PERSON
ejpam-6541	273	17	1,1	CARDINAL
ejpam-6541	274	1	nihf	PERSON
ejpam-6541	274	2	yn	ORG
ejpam-6541	274	3	− y	PERSON
ejpam-6541	275	1	0	CARDINAL
ejpam-6541	276	1	4	CARDINAL
ejpam-6541	276	2	1 m	QUANTITY
ejpam-6541	276	3	0	CARDINAL
ejpam-6541	277	1	limm→∞nihf	PERSON
ejpam-6541	278	1	limm→∞nihf	PERSON
ejpam-6541	278	2	yn	ORG
ejpam-6541	278	3	1	CARDINAL
ejpam-6541	278	4	limm→∞nihf	PERSON
ejpam-6541	278	5	yn	ORG
ejpam-6541	278	6	1 m)∗ limm→∞nihf	QUANTITY
ejpam-6541	278	7	0	CARDINAL
ejpam-6541	278	8	1	CARDINAL
ejpam-6541	278	9	∗	CARDINAL
ejpam-6541	278	10	1	CARDINAL
ejpam-6541	278	11	limm→∞nihf	PERSON
ejpam-6541	278	12	yn	ORG
ejpam-6541	278	13	nihf	PERSON
ejpam-6541	278	14	yn	ORG
ejpam-6541	279	1	5	CARDINAL
ejpam-6541	279	2	k. kavitha	PERSON
ejpam-6541	280	1	j. pure	PERSON
ejpam-6541	280	2	18	CARDINAL
ejpam-6541	280	3	4	CARDINAL
ejpam-6541	280	4	2025	CARDINAL
ejpam-6541	280	5	6541 9 of 14	DATE
ejpam-6541	280	6	limm→∞nihf	PERSON
ejpam-6541	280	7	2l	CARDINAL
ejpam-6541	281	1	limm→∞nihf	PERSON
ejpam-6541	281	2	y − yn	PERSON
ejpam-6541	281	3	+ yn	PERSON
ejpam-6541	281	4	limm→∞nihf	PERSON
ejpam-6541	281	5	y − yn	PERSON
ejpam-6541	281	6	yn	ORG
ejpam-6541	282	1	limm→∞nihf	PERSON
ejpam-6541	282	2	2l	CARDINAL
ejpam-6541	282	3	1,1	CARDINAL
ejpam-6541	283	1	limm→∞nihf	PERSON
ejpam-6541	283	2	2l	CARDINAL
ejpam-6541	285	1	4	CARDINAL
ejpam-6541	285	2	5	CARDINAL
ejpam-6541	287	1	∑n k=1 |ωm	PERSON
ejpam-6541	296	1	∑n k=1 |δk|} ⊃	PERSON
ejpam-6541	296	2	2	CARDINAL
ejpam-6541	297	1	0	CARDINAL
ejpam-6541	297	2	1	CARDINAL
ejpam-6541	297	3	2	DATE
ejpam-6541	299	1	∑n k=1 |δk|} ⊃	PERSON
ejpam-6541	299	2	2	CARDINAL
ejpam-6541	299	3	0	CARDINAL
ejpam-6541	299	4	∈	ORG
ejpam-6541	299	5	1	CARDINAL
ejpam-6541	300	1	0	CARDINAL
ejpam-6541	300	2	2	CARDINAL
ejpam-6541	301	1	2	CARDINAL
ejpam-6541	301	2	6	CARDINAL
ejpam-6541	301	3	∑n k=1 |ωk|	PERSON
ejpam-6541	301	4	1	CARDINAL
ejpam-6541	301	5	0	CARDINAL
ejpam-6541	301	6	2	CARDINAL
ejpam-6541	301	7	1	CARDINAL
ejpam-6541	302	1	6	CARDINAL
ejpam-6541	303	1	0	CARDINAL
ejpam-6541	303	2	∈	ORG
ejpam-6541	303	3	1	CARDINAL
ejpam-6541	304	1	ωn}along	PERSON
ejpam-6541	304	2	∑n k=1	PERSON
ejpam-6541	304	3	1	CARDINAL
ejpam-6541	305	1	⊆	CARDINAL
ejpam-6541	305	2	1	CARDINAL
ejpam-6541	305	3	1	CARDINAL
ejpam-6541	305	4	2	DATE
ejpam-6541	310	1	∑n k=1 |ηmk	PERSON
ejpam-6541	311	1	zm	ORG
ejpam-6541	311	2	1	CARDINAL
ejpam-6541	312	1	⊆	CARDINAL
ejpam-6541	312	2	1	CARDINAL
ejpam-6541	315	1	ηnx m n	PERSON
ejpam-6541	316	1	∑n k=1 |ηmk	PERSON
ejpam-6541	316	2	1	CARDINAL
ejpam-6541	316	3	0 ≤ |ηmk | ≤ 1	QUANTITY
ejpam-6541	316	4	1	CARDINAL
ejpam-6541	316	5	2	DATE
ejpam-6541	319	1	k xk	PERSON
ejpam-6541	319	2	∑n k=1 |ξmk |	PERSON
ejpam-6541	319	3	1	CARDINAL
ejpam-6541	319	4	∑n k=1	PERSON
ejpam-6541	319	5	1	CARDINAL
ejpam-6541	320	1	lim	PERSON
ejpam-6541	320	2	− z	ORG
ejpam-6541	321	1	0	CARDINAL
ejpam-6541	322	1	7	CARDINAL
ejpam-6541	322	2	0	CARDINAL
ejpam-6541	322	3	1 m	QUANTITY
ejpam-6541	322	4	zn	ORG
ejpam-6541	323	1	zn	ORG
ejpam-6541	323	2	+ 0	DATE
ejpam-6541	323	3	1	CARDINAL
ejpam-6541	323	4	⊆	CARDINAL
ejpam-6541	323	5	zn	ORG
ejpam-6541	323	6	1	CARDINAL
ejpam-6541	323	7	0	CARDINAL
ejpam-6541	323	8	⊆	CARDINAL
ejpam-6541	324	1	zn	ORG
ejpam-6541	324	2	⊆	CARDINAL
ejpam-6541	325	1	2l	CARDINAL
ejpam-6541	325	2	+ zn	PERSON
ejpam-6541	325	3	⊆	CARDINAL
ejpam-6541	325	4	zn	ORG
ejpam-6541	326	1	2l	CARDINAL
ejpam-6541	326	2	⊆	CARDINAL
ejpam-6541	326	3	∅∗ ⋄	ORG
ejpam-6541	328	1	2l	CARDINAL
ejpam-6541	328	2	7	CARDINAL
ejpam-6541	329	1	0	CARDINAL
ejpam-6541	330	1	∑n k=1 |ξmk	PERSON
ejpam-6541	331	1	1	CARDINAL
ejpam-6541	334	1	̸= 0.consequently	PRODUCT
ejpam-6541	335	1	k. kavitha	PERSON
ejpam-6541	336	1	j. pure	PERSON
ejpam-6541	336	2	18	CARDINAL
ejpam-6541	336	3	4	CARDINAL
ejpam-6541	336	4	2025	CARDINAL
ejpam-6541	336	5	6541 10	DATE
ejpam-6541	336	6	14	CARDINAL
ejpam-6541	337	1	1	CARDINAL
ejpam-6541	337	2	1	CARDINAL
ejpam-6541	337	3	0	CARDINAL
ejpam-6541	339	1	hihf	PERSON
ejpam-6541	342	1	2 e2+	DATE
ejpam-6541	343	1	ωn k ek	PERSON
ejpam-6541	344	1	2	CARDINAL
ejpam-6541	345	1	ω n k	PERSON
ejpam-6541	346	1	lim m	PERSON
ejpam-6541	346	2	n→∞ nihf	GPE
ejpam-6541	346	3	xm − xn	ORG
ejpam-6541	346	4	0	CARDINAL
ejpam-6541	347	1	9	CARDINAL
ejpam-6541	347	2	lim m	PERSON
ejpam-6541	347	3	n→∞ nihf	GPE
ejpam-6541	347	4	xm −	ORG
ejpam-6541	349	1	0	CARDINAL
ejpam-6541	349	2	10	CARDINAL
ejpam-6541	349	3	2	CARDINAL
ejpam-6541	349	4	0	CARDINAL
ejpam-6541	349	5	2	CARDINAL
ejpam-6541	349	6	1	CARDINAL
ejpam-6541	349	7	nihf	ORG
ejpam-6541	351	1	1	CARDINAL
ejpam-6541	351	2	11	CARDINAL
ejpam-6541	351	3	i=1	PERSON
ejpam-6541	353	1	2	CARDINAL
ejpam-6541	353	2	12	CARDINAL
ejpam-6541	353	3	9	CARDINAL
ejpam-6541	353	4	n0	NORP
ejpam-6541	353	5	nihf	PERSON
ejpam-6541	354	1	1	CARDINAL
ejpam-6541	354	2	n ≥	GPE
ejpam-6541	354	3	n0	GPE
ejpam-6541	355	1	13	CARDINAL
ejpam-6541	355	2	2	CARDINAL
ejpam-6541	355	3	10	CARDINAL
ejpam-6541	357	1	⊂	GPE
ejpam-6541	357	2	2	CARDINAL
ejpam-6541	358	1	14	CARDINAL
ejpam-6541	358	2	11	CARDINAL
ejpam-6541	358	3	13	CARDINAL
ejpam-6541	358	4	nihf	PERSON
ejpam-6541	359	1	1	CARDINAL
ejpam-6541	359	2	nihf	PERSON
ejpam-6541	363	1	n ≥	GPE
ejpam-6541	363	2	n0	GPE
ejpam-6541	368	1	n ≥	GPE
ejpam-6541	368	2	n0	GPE
ejpam-6541	371	1	n ≥	GPE
ejpam-6541	371	2	n0	GPE
ejpam-6541	374	1	n ≥ n0	ORG
ejpam-6541	374	2	1	CARDINAL
ejpam-6541	374	3	2	DATE
ejpam-6541	375	1	k.	PERSON
ejpam-6541	376	1	0	CARDINAL
ejpam-6541	376	2	n→∞	CARDINAL
ejpam-6541	379	1	1	CARDINAL
ejpam-6541	379	2	2	CARDINAL
ejpam-6541	381	1	1	CARDINAL
ejpam-6541	381	2	2	CARDINAL
ejpam-6541	384	1	1	CARDINAL
ejpam-6541	384	2	2	CARDINAL
ejpam-6541	386	1	k.	PERSON
ejpam-6541	386	2	i=1	GPE
ejpam-6541	386	3	ωiei	GPE
ejpam-6541	387	1	0	CARDINAL
ejpam-6541	387	2	nihf	PERSON
ejpam-6541	387	3	xn−x	GPE
ejpam-6541	387	4	nihf	PERSON
ejpam-6541	387	5	i=1 ω	ORG
ejpam-6541	389	1	i=1 ωiei	GPE
ejpam-6541	389	2	nihf	PERSON
ejpam-6541	389	3	nihf	PERSON
ejpam-6541	389	4	nihf	PERSON
ejpam-6541	389	5	e1	ORG
ejpam-6541	389	6	1	CARDINAL
ejpam-6541	390	1	∗ nihf	PERSON
ejpam-6541	391	1	15	CARDINAL
ejpam-6541	391	2	k. kavitha	PERSON
ejpam-6541	392	1	j. pure	PERSON
ejpam-6541	392	2	18	CARDINAL
ejpam-6541	392	3	4	CARDINAL
ejpam-6541	392	4	2025	CARDINAL
ejpam-6541	392	5	6541 11	DATE
ejpam-6541	392	6	14	DATE
ejpam-6541	393	1	−ωi|	GPE
ejpam-6541	397	1	1	CARDINAL
ejpam-6541	397	2	2	CARDINAL
ejpam-6541	398	1	k.	PERSON
ejpam-6541	398	2	0	CARDINAL
ejpam-6541	399	1	1,1	CARDINAL
ejpam-6541	399	2	15	CARDINAL
ejpam-6541	400	1	∗	CARDINAL
ejpam-6541	400	2	0	CARDINAL
ejpam-6541	401	1	0	CARDINAL
ejpam-6541	402	1	16	CARDINAL
ejpam-6541	402	2	12	CARDINAL
ejpam-6541	402	3	14	CARDINAL
ejpam-6541	403	1	⊂	GPE
ejpam-6541	403	2	2 ⊂	PERCENT
ejpam-6541	406	1	n ≥	GPE
ejpam-6541	406	2	n0	GPE
ejpam-6541	408	1	n ≥	GPE
ejpam-6541	408	2	n0	GPE
ejpam-6541	414	1	1	CARDINAL
ejpam-6541	414	2	2	DATE
ejpam-6541	415	1	k.	PERSON
ejpam-6541	416	1	0	CARDINAL
ejpam-6541	416	2	n→∞	CARDINAL
ejpam-6541	419	1	1	CARDINAL
ejpam-6541	419	2	2	CARDINAL
ejpam-6541	420	1	k.	PERSON
ejpam-6541	420	2	1	CARDINAL
ejpam-6541	420	3	2	CARDINAL
ejpam-6541	421	1	k.	PERSON
ejpam-6541	423	1	1	CARDINAL
ejpam-6541	423	2	2	CARDINAL
ejpam-6541	425	1	k.	PERSON
ejpam-6541	426	1	i=1 ωiei	GPE
ejpam-6541	427	1	∈	ORG
ejpam-6541	427	2	0	CARDINAL
ejpam-6541	430	1	i=1 ωiei	GPE
ejpam-6541	431	1	1	CARDINAL
ejpam-6541	433	1	17	CARDINAL
ejpam-6541	434	1	−ωi|	GPE
ejpam-6541	438	1	1	CARDINAL
ejpam-6541	438	2	2	CARDINAL
ejpam-6541	439	1	k.	PERSON
ejpam-6541	439	2	0	CARDINAL
ejpam-6541	440	1	17	CARDINAL
ejpam-6541	441	1	limn→∞mihf	DATE
ejpam-6541	442	1	⋄ ∅∗	PERSON
ejpam-6541	442	2	0	CARDINAL
ejpam-6541	443	1	0	CARDINAL
ejpam-6541	444	1	18	CARDINAL
ejpam-6541	445	1	16	CARDINAL
ejpam-6541	445	2	18	CARDINAL
ejpam-6541	446	1	hihf	PERSON
ejpam-6541	447	1	19	CARDINAL
ejpam-6541	448	1	∅∗ ⊂	ORG
ejpam-6541	448	2	⊂	GPE
ejpam-6541	448	3	∃t1	ORG
ejpam-6541	448	4	0	CARDINAL
ejpam-6541	450	1	∀x	ORG
ejpam-6541	450	2	x. theorem	DATE
ejpam-6541	450	3	7	CARDINAL
ejpam-6541	450	4	hihf	PERSON
ejpam-6541	450	5	1,1	CARDINAL
ejpam-6541	455	1	x.	DATE
ejpam-6541	455	2	x.	GPE
ejpam-6541	458	1	∅∗ ⊂	PERSON
ejpam-6541	459	1	nihf	PERSON
ejpam-6541	459	2	xn	ORG
ejpam-6541	459	3	⊆	CARDINAL
ejpam-6541	459	4	0	CARDINAL
ejpam-6541	460	1	k. kavitha	PERSON
ejpam-6541	461	1	j. pure	PERSON
ejpam-6541	461	2	18	CARDINAL
ejpam-6541	461	3	4	CARDINAL
ejpam-6541	461	4	2025	CARDINAL
ejpam-6541	461	5	6541 12	DATE
ejpam-6541	461	6	14	CARDINAL
ejpam-6541	461	7	xn	ORG
ejpam-6541	461	8	0	CARDINAL
ejpam-6541	462	1	one	CARDINAL
ejpam-6541	462	2	nihf	PERSON
ejpam-6541	462	3	⊆	CARDINAL
ejpam-6541	462	4	0	CARDINAL
ejpam-6541	462	5	19	CARDINAL
ejpam-6541	462	6	0	CARDINAL
ejpam-6541	462	7	20	CARDINAL
ejpam-6541	463	1	nihf	PERSON
ejpam-6541	463	2	⊆	CARDINAL
ejpam-6541	463	3	0	CARDINAL
ejpam-6541	464	1	0	CARDINAL
ejpam-6541	464	2	0	CARDINAL
ejpam-6541	464	3	nihf	PERSON
ejpam-6541	464	4	nihf	PERSON
ejpam-6541	464	5	nk −	PERSON
ejpam-6541	464	6	t +	DATE
ejpam-6541	464	7	0	CARDINAL
ejpam-6541	465	1	0	CARDINAL
ejpam-6541	465	2	nihf	PERSON
ejpam-6541	465	3	nihf	PERSON
ejpam-6541	465	4	∗	CARDINAL
ejpam-6541	465	5	nk −	PERSON
ejpam-6541	466	1	0	CARDINAL
ejpam-6541	466	2	nk −	PERSON
ejpam-6541	467	1	0	CARDINAL
ejpam-6541	467	2	1,1	CARDINAL
ejpam-6541	468	1	0	CARDINAL
ejpam-6541	473	1	1	CARDINAL
ejpam-6541	474	1	+ω	PERSON
ejpam-6541	476	1	lemma	ORG
ejpam-6541	476	2	1	CARDINAL
ejpam-6541	477	1	1	CARDINAL
ejpam-6541	477	2	2	CARDINAL
ejpam-6541	477	3	1	CARDINAL
ejpam-6541	477	4	nihf	ORG
ejpam-6541	477	5	n∑	NORP
ejpam-6541	480	1	1	CARDINAL
ejpam-6541	480	2	i=1 ω	FAC
ejpam-6541	483	1	2	CARDINAL
ejpam-6541	483	2	22	CARDINAL
ejpam-6541	483	3	1	CARDINAL
ejpam-6541	483	4	∈	ORG
ejpam-6541	483	5	1],∃	CARDINAL
ejpam-6541	483	6	0	CARDINAL
ejpam-6541	483	7	nihf	PERSON
ejpam-6541	484	1	1	CARDINAL
ejpam-6541	484	2	0	CARDINAL
ejpam-6541	484	3	1	CARDINAL
ejpam-6541	486	1	nihf	PERSON
ejpam-6541	486	2	n∑	NORP
ejpam-6541	487	1	1	CARDINAL
ejpam-6541	487	2	23	CARDINAL
ejpam-6541	487	3	i=1 ω	FAC
ejpam-6541	488	1	2	CARDINAL
ejpam-6541	488	2	24	CARDINAL
ejpam-6541	488	3	21	CARDINAL
ejpam-6541	488	4	23	CARDINAL
ejpam-6541	488	5	nihf	PERSON
ejpam-6541	488	6	∑n i=1 ω (k	ORG
ejpam-6541	490	1	1 ⊂	PERCENT
ejpam-6541	490	2	∑n i=1 ω (k	ORG
ejpam-6541	491	1	nihf	PERSON
ejpam-6541	491	2	∑n i=1 ω (k	ORG
ejpam-6541	492	1	∑n i=1 ω (k	ORG
ejpam-6541	493	1	nihf	PERSON
ejpam-6541	495	1	1	CARDINAL
ejpam-6541	495	2	2	CARDINAL
ejpam-6541	496	1	n.	PERSON
ejpam-6541	496	2	1	CARDINAL
ejpam-6541	496	3	2	CARDINAL
ejpam-6541	497	1	ω(k	PERSON
ejpam-6541	497	2	1	CARDINAL
ejpam-6541	497	3	2	DATE
ejpam-6541	499	1	ω(k	PERSON
ejpam-6541	499	2	ω(kl	CARDINAL
ejpam-6541	500	1	1	CARDINAL
ejpam-6541	500	2	2	DATE
ejpam-6541	501	1	n.	PERSON
ejpam-6541	501	2	k. kavitha	PERSON
ejpam-6541	502	1	j. pure	PERSON
ejpam-6541	502	2	18	CARDINAL
ejpam-6541	502	3	4	CARDINAL
ejpam-6541	502	4	2025	CARDINAL
ejpam-6541	502	5	6541 13	DATE
ejpam-6541	502	6	14	DATE
ejpam-6541	503	1	+ ω	PERSON
ejpam-6541	503	2	ω(kl	CARDINAL
ejpam-6541	503	3	1	CARDINAL
ejpam-6541	503	4	ω(kl	CARDINAL
ejpam-6541	503	5	2	CARDINAL
ejpam-6541	504	1	ω(kl	CARDINAL
ejpam-6541	506	1	1	CARDINAL
ejpam-6541	506	2	2	CARDINAL
ejpam-6541	507	1	n.	PERSON
ejpam-6541	508	1	+ ω2e21	MONEY
ejpam-6541	509	1	+ ωnen	PERSON
ejpam-6541	510	1	0	CARDINAL
ejpam-6541	510	2	− x	PERSON
ejpam-6541	510	3	nihf	PERSON
ejpam-6541	511	1	nihf	PERSON
ejpam-6541	511	2	t |ω(kl	GPE
ejpam-6541	511	3	1	CARDINAL
ejpam-6541	511	4	∗	CARDINAL
ejpam-6541	511	5	∗ nihf	PERSON
ejpam-6541	511	6	t |ω(kl	GPE
ejpam-6541	512	1	liml→∞nihf	PERSON
ejpam-6541	512	2	1	CARDINAL
ejpam-6541	512	3	1	CARDINAL
ejpam-6541	513	1	lim l→∞	PERSON
ejpam-6541	513	2	nihf	PERSON
ejpam-6541	513	3	xkl − x	PERSON
ejpam-6541	514	1	25	CARDINAL
ejpam-6541	514	2	0	CARDINAL
ejpam-6541	514	3	− x	PERSON
ejpam-6541	516	1	⊆	CARDINAL
ejpam-6541	516	2	t |ω(kl	GPE
ejpam-6541	516	3	1	CARDINAL
ejpam-6541	516	4	t |ω(kl	GPE
ejpam-6541	518	1	lim l→∞	PERSON
ejpam-6541	518	2	nihf	PERSON
ejpam-6541	518	3	xkl − x	PERSON
ejpam-6541	519	1	26	CARDINAL
ejpam-6541	519	2	25	CARDINAL
ejpam-6541	519	3	26	CARDINAL
ejpam-6541	519	4	x(kl	ORG
ejpam-6541	519	5	x.	PERSON
ejpam-6541	519	6	∈	ORG
ejpam-6541	521	1	5	CARDINAL
ejpam-6541	521	2	samanta et al.	ORG
ejpam-6541	524	1	m. padmini	PERSON
ejpam-6541	525	1	1	CARDINAL
ejpam-6541	525	2	l. zadeh	PERSON
ejpam-6541	527	1	8(3):338–353	CARDINAL
ejpam-6541	527	2	1965	DATE
ejpam-6541	528	1	k. kavitha	PERSON
ejpam-6541	529	1	j. pure	PERSON
ejpam-6541	529	2	18	CARDINAL
ejpam-6541	529	3	4	CARDINAL
ejpam-6541	529	4	2025	CARDINAL
ejpam-6541	529	5	6541 14	DATE
ejpam-6541	529	6	2	CARDINAL
ejpam-6541	529	7	s. k. samanta	PERSON
ejpam-6541	531	1	151:513–547, 2005	DATE
ejpam-6541	532	1	3	CARDINAL
ejpam-6541	532	2	s. c. cheng	PERSON
ejpam-6541	532	3	j. n. mordeson	PERSON
ejpam-6541	533	1	linear	ORG
ejpam-6541	534	1	korean	NORP
ejpam-6541	534	2	86:429–436	CARDINAL
ejpam-6541	534	3	2007	DATE
ejpam-6541	535	1	4	CARDINAL
ejpam-6541	535	2	s. k. samanta	PERSON
ejpam-6541	536	1	linear	ORG
ejpam-6541	537	1	information sciences	ORG
ejpam-6541	537	2	176:2910–2931, 2006	DATE
ejpam-6541	538	1	5	CARDINAL
ejpam-6541	540	1	48:239–248, 1992	DATE
ejpam-6541	541	1	6	CARDINAL
ejpam-6541	541	2	s. seikkala	PERSON
ejpam-6541	543	1	12:215	CARDINAL
ejpam-6541	543	2	229	CARDINAL
ejpam-6541	543	3	1984	DATE
ejpam-6541	544	1	7	CARDINAL
ejpam-6541	544	2	a. k. katsaras	PERSON
ejpam-6541	546	1	12:143–154	CARDINAL
ejpam-6541	546	2	1984	DATE
ejpam-6541	547	1	8	CARDINAL
ejpam-6541	549	1	20:87–96	CARDINAL
ejpam-6541	549	2	1986	DATE
ejpam-6541	550	1	9	CARDINAL
ejpam-6541	550	2	j. h. park	PERSON
ejpam-6541	552	1	1046, 2004	DATE
ejpam-6541	553	1	10	CARDINAL
ejpam-6541	553	2	kumar mondal	PERSON
ejpam-6541	553	3	s. k. samanta	PERSON
ejpam-6541	555	1	119:483–494, 2001	DATE
ejpam-6541	556	1	11	CARDINAL
ejpam-6541	556	2	kumar mondal	PERSON
ejpam-6541	556	3	s. k. samanta	PERSON
ejpam-6541	558	1	131:323–336, 2002	DATE
ejpam-6541	559	1	12	CARDINAL
ejpam-6541	559	2	n. thillaigovindan	PERSON
ejpam-6541	559	3	s. anita shanthi	PERSON
ejpam-6541	559	4	y. b. jun.	PERSON
ejpam-6541	560	1	n-normed linear spaces	ORG
ejpam-6541	561	1	1(2):119–131, 2011	DATE
ejpam-6541	562	1	13	CARDINAL
ejpam-6541	562	2	s. vijayabalaji	PERSON
ejpam-6541	562	3	n. thillaigovindan	PERSON
ejpam-6541	562	4	bae	ORG
ejpam-6541	563	1	korean	NORP
ejpam-6541	563	2	44(2):291–308	CARDINAL
ejpam-6541	563	3	2007	DATE
ejpam-6541	564	1	14	CARDINAL
ejpam-6541	564	2	t. k. samanta	PERSON
ejpam-6541	564	3	iqbal h. jebril	PERSON
ejpam-6541	566	1	2(4	CARDINAL
ejpam-6541	566	2	2009	DATE
ejpam-6541	567	1	15	CARDINAL
ejpam-6541	567	2	george j.	PERSON
ejpam-6541	569	1	prentice-hall of india private limited	ORG
ejpam-6541	569	2	new delhi	GPE
ejpam-6541	569	3	1997	DATE
ejpam-6541	570	1	16	CARDINAL
ejpam-6541	570	2	krishnamoorthy kavitha	PERSON
ejpam-6541	572	1	25(3):373	CARDINAL
ejpam-6541	572	2	384	CARDINAL
ejpam-6541	572	3	2025	DATE
ejpam-6541	573	1	17	CARDINAL
ejpam-6541	573	2	s. k. samanta	PERSON
ejpam-6541	575	1	11(3):687–705, 2003	DATE
ejpam-6541	576	1	18	CARDINAL
ejpam-6541	576	2	r.	NORP
ejpam-6541	576	3	j. h. park	PERSON
ejpam-6541	578	1	27:331–344	CARDINAL
ejpam-6541	578	2	2006	DATE
ejpam-6541	579	1	19	CARDINAL
ejpam-6541	579	2	krishnamoorthy kavitha	PERSON
ejpam-6541	581	1	first	ORDINAL
ejpam-6541	581	2	2025	DATE