id	sid	eid	entity	type
ejpam-6598	1	1	european journal	ORG
ejpam-6598	1	2	2025	DATE
ejpam-6598	1	3	18	CARDINAL
ejpam-6598	1	4	3	CARDINAL
ejpam-6598	1	5	6598	CARDINAL
ejpam-6598	1	6	1307-5543	CARDINAL
ejpam-6598	1	7	new york	GPE
ejpam-6598	1	8	n. preethi1	PERSON
ejpam-6598	1	9	g. k.	PERSON
ejpam-6598	2	1	1	CARDINAL
ejpam-6598	2	2	vellore institute of technology chennai	ORG
ejpam-6598	2	3	tamilnadu	NORP
ejpam-6598	2	4	india	GPE
ejpam-6598	3	1	pythagorean	ORG
ejpam-6598	3	2	generalized pythagorean	ORG
ejpam-6598	5	1	pythagorean	ORG
ejpam-6598	7	1	2020	DATE
ejpam-6598	7	2	54a40	CARDINAL
ejpam-6598	7	3	03e72	CARDINAL
ejpam-6598	7	4	1	CARDINAL
ejpam-6598	9	1	lotfi zadeh	ORG
ejpam-6598	10	1	1	CARDINAL
ejpam-6598	10	2	1965	DATE
ejpam-6598	11	1	1	CARDINAL
ejpam-6598	11	2	0	CARDINAL
ejpam-6598	11	3	2	CARDINAL
ejpam-6598	12	1	krassimir atanassov	PERSON
ejpam-6598	13	1	3	CARDINAL
ejpam-6598	13	2	1986	DATE
ejpam-6598	16	1	1	CARDINAL
ejpam-6598	17	1	2025	CARDINAL
ejpam-6598	18	1	g. k. revathi	PERSON
ejpam-6598	19	1	j. pure	PERSON
ejpam-6598	19	2	18	CARDINAL
ejpam-6598	19	3	3	CARDINAL
ejpam-6598	19	4	2025	CARDINAL
ejpam-6598	19	5	6598 2	DATE
ejpam-6598	19	6	17	CARDINAL
ejpam-6598	20	1	pythagorean	ORG
ejpam-6598	23	1	yager r. r.	PERSON
ejpam-6598	24	1	4	CARDINAL
ejpam-6598	26	1	5	CARDINAL
ejpam-6598	27	1	6	CARDINAL
ejpam-6598	33	1	7	CARDINAL
ejpam-6598	34	1	anjalmose s.	PERSON
ejpam-6598	34	2	thangaraj g.	PERSON
ejpam-6598	35	1	8	CARDINAL
ejpam-6598	36	1	9	CARDINAL
ejpam-6598	37	1	r.u.	PERSON
ejpam-6598	38	1	10	CARDINAL
ejpam-6598	39	1	abdulgawad	PERSON
ejpam-6598	39	2	a. al-qubati	PERSON
ejpam-6598	39	3	mohamed el sayed	PERSON
ejpam-6598	40	1	11	CARDINAL
ejpam-6598	41	1	harish	NORP
ejpam-6598	42	1	12	CARDINAL
ejpam-6598	47	1	pythagorean	ORG
ejpam-6598	48	1	•	CARDINAL
ejpam-6598	49	1	•	CARDINAL
ejpam-6598	49	2	pythagorean	ORG
ejpam-6598	50	1	•	CARDINAL
ejpam-6598	50	2	n. preethi	PERSON
ejpam-6598	50	3	g. k. revathi	PERSON
ejpam-6598	51	1	j. pure	PERSON
ejpam-6598	51	2	18	CARDINAL
ejpam-6598	51	3	3	CARDINAL
ejpam-6598	51	4	2025	CARDINAL
ejpam-6598	51	5	6598 3	DATE
ejpam-6598	51	6	17	CARDINAL
ejpam-6598	51	7	pythagorean	ORG
ejpam-6598	52	1	•	CARDINAL
ejpam-6598	53	1	pythagorean	ORG
ejpam-6598	54	1	pythagorean	ORG
ejpam-6598	55	1	•	CARDINAL
ejpam-6598	56	1	•	CARDINAL
ejpam-6598	56	2	•	CARDINAL
ejpam-6598	56	3	•	CARDINAL
ejpam-6598	56	4	•	CARDINAL
ejpam-6598	57	1	1	CARDINAL
ejpam-6598	57	2	1	CARDINAL
ejpam-6598	57	3	section 2	LAW
ejpam-6598	58	1	pythagorean	ORG
ejpam-6598	58	2	n. preethi	PERSON
ejpam-6598	58	3	g. k. revathi	PERSON
ejpam-6598	59	1	j. pure	PERSON
ejpam-6598	59	2	18	CARDINAL
ejpam-6598	59	3	3	CARDINAL
ejpam-6598	59	4	2025	CARDINAL
ejpam-6598	59	5	6598 4	DATE
ejpam-6598	59	6	17	CARDINAL
ejpam-6598	59	7	section 3	DATE
ejpam-6598	60	1	pythagorean	ORG
ejpam-6598	60	2	section 4	DATE
ejpam-6598	61	1	pythagorean	ORG
ejpam-6598	61	2	section 5	LAW
ejpam-6598	62	1	section 6	DATE
ejpam-6598	63	1	section 7	LAW
ejpam-6598	64	1	2	CARDINAL
ejpam-6598	65	1	1	CARDINAL
ejpam-6598	66	1	1	CARDINAL
ejpam-6598	66	2	fts	ORG
ejpam-6598	66	3	pfs pythagorean	PERSON
ejpam-6598	66	4	pft pythagorean	PERSON
ejpam-6598	66	5	digital	ORG
ejpam-6598	66	6	ω∼	CARDINAL
ejpam-6598	66	7	pfdfs pythagorean	ORG
ejpam-6598	66	8	pfdfts	PERSON
ejpam-6598	67	1	−os	ORG
ejpam-6598	67	2	n. preethi	PERSON
ejpam-6598	67	3	g. k. revathi	PERSON
ejpam-6598	68	1	j. pure	PERSON
ejpam-6598	68	2	18	CARDINAL
ejpam-6598	68	3	3	CARDINAL
ejpam-6598	68	4	2025	CARDINAL
ejpam-6598	68	5	6598 5	DATE
ejpam-6598	68	6	17	CARDINAL
ejpam-6598	68	7	1	CARDINAL
ejpam-6598	70	1	ω	CARDINAL
ejpam-6598	72	1	0	CARDINAL
ejpam-6598	72	2	1	CARDINAL
ejpam-6598	73	1	0	CARDINAL
ejpam-6598	73	2	1	CARDINAL
ejpam-6598	73	3	0 ≤	MONEY
ejpam-6598	75	1	2	CARDINAL
ejpam-6598	76	1	ω	ORG
ejpam-6598	76	2	two	CARDINAL
ejpam-6598	77	1	•	CARDINAL
ejpam-6598	77	2	ω	CARDINAL
ejpam-6598	77	3	•	CARDINAL
ejpam-6598	77	4	max	PERSON
ejpam-6598	77	5	ω	ORG
ejpam-6598	77	6	• ω	MONEY
ejpam-6598	77	7	max	PERSON
ejpam-6598	77	8	ω	GPE
ejpam-6598	77	9	ω	ORG
ejpam-6598	77	10	ς(ω ⊆ ς	ORG
ejpam-6598	77	11	ω(ς	GPE
ejpam-6598	78	1	3	CARDINAL
ejpam-6598	79	1	7	CARDINAL
ejpam-6598	79	2	1∼	CARDINAL
ejpam-6598	79	3	∈	ORG
ejpam-6598	80	1	∈	ORG
ejpam-6598	85	1	4	CARDINAL
ejpam-6598	86	1	ω	ORG
ejpam-6598	86	2	two	CARDINAL
ejpam-6598	87	1	pfs η	PERSON
ejpam-6598	87	2	ω ⊆ η ⊆	ORG
ejpam-6598	87	3	ω	CARDINAL
ejpam-6598	88	1	5	CARDINAL
ejpam-6598	89	1	6	CARDINAL
ejpam-6598	92	1	4 -adjacent	DATE
ejpam-6598	92	2	8 -adjacent	DATE
ejpam-6598	93	1	6	CARDINAL
ejpam-6598	94	1	6	CARDINAL
ejpam-6598	94	2	13	CARDINAL
ejpam-6598	95	1	7	CARDINAL
ejpam-6598	96	1	14	CARDINAL
ejpam-6598	96	2	plane σ	PERSON
ejpam-6598	96	3	σ	ORG
ejpam-6598	97	1	ω	CARDINAL
ejpam-6598	97	2	∈	ORG
ejpam-6598	97	3	max	PERSON
ejpam-6598	97	4	µω(s	PERSON
ejpam-6598	98	1	max	PERSON
ejpam-6598	100	1	8	CARDINAL
ejpam-6598	101	1	8	CARDINAL
ejpam-6598	101	2	fts	ORG
ejpam-6598	101	3	ω	ORG
ejpam-6598	101	4	c(ω	PERSON
ejpam-6598	101	5	1∼.	CARDINAL
ejpam-6598	101	6	η	ORG
ejpam-6598	101	7	ω	ORG
ejpam-6598	101	8	n. preethi	PERSON
ejpam-6598	101	9	g. k. revathi	PERSON
ejpam-6598	102	1	j. pure	PERSON
ejpam-6598	102	2	18	CARDINAL
ejpam-6598	102	3	3	CARDINAL
ejpam-6598	102	4	2025	CARDINAL
ejpam-6598	102	5	6598 6	CARDINAL
ejpam-6598	102	6	17	CARDINAL
ejpam-6598	102	7	9	CARDINAL
ejpam-6598	103	1	8	CARDINAL
ejpam-6598	103	2	c(ω	PERSON
ejpam-6598	104	1	ω	ORG
ejpam-6598	104	2	fts	ORG
ejpam-6598	105	1	10	CARDINAL
ejpam-6598	106	1	8	CARDINAL
ejpam-6598	106	2	fts	ORG
ejpam-6598	107	1	first	ORDINAL
ejpam-6598	107	2	ω	ORG
ejpam-6598	107	3	ω = ∨∞	ORG
ejpam-6598	108	1	first	ORDINAL
ejpam-6598	108	2	second	ORDINAL
ejpam-6598	109	1	11	CARDINAL
ejpam-6598	110	1	8	CARDINAL
ejpam-6598	110	2	first	ORDINAL
ejpam-6598	110	3	fts	ORG
ejpam-6598	110	4	1	CARDINAL
ejpam-6598	111	1	second	ORDINAL
ejpam-6598	111	2	first	ORDINAL
ejpam-6598	112	1	12	CARDINAL
ejpam-6598	113	1	8	CARDINAL
ejpam-6598	113	2	fts	ORG
ejpam-6598	116	1	13	CARDINAL
ejpam-6598	117	1	8	CARDINAL
ejpam-6598	117	2	first	ORDINAL
ejpam-6598	117	3	fts	ORG
ejpam-6598	118	1	14	DATE
ejpam-6598	119	1	8	CARDINAL
ejpam-6598	119	2	i(ω	PERSON
ejpam-6598	119	3	ω	ORG
ejpam-6598	119	4	fts	ORG
ejpam-6598	120	1	15	CARDINAL
ejpam-6598	121	1	8	CARDINAL
ejpam-6598	121	2	fts	ORG
ejpam-6598	121	3	ω ̸=	ORG
ejpam-6598	121	4	η	ORG
ejpam-6598	121	5	ω ≤ η	FAC
ejpam-6598	121	6	η ∧	FAC
ejpam-6598	121	7	0∼.	CARDINAL
ejpam-6598	121	8	16	DATE
ejpam-6598	122	1	8	CARDINAL
ejpam-6598	122	2	fts	ORG
ejpam-6598	123	1	17	CARDINAL
ejpam-6598	124	1	9	CARDINAL
ejpam-6598	124	2	10	CARDINAL
ejpam-6598	124	3	ω	CARDINAL
ejpam-6598	125	1	18	CARDINAL
ejpam-6598	126	1	11	CARDINAL
ejpam-6598	126	2	ω	CARDINAL
ejpam-6598	126	3	ifb-cs	ORG
ejpam-6598	126	4	19	DATE
ejpam-6598	127	1	15	CARDINAL
ejpam-6598	128	1	∈	ORG
ejpam-6598	132	1	20	CARDINAL
ejpam-6598	133	1	12	CARDINAL
ejpam-6598	133	2	two	CARDINAL
ejpam-6598	133	3	pythagorean	ORG
ejpam-6598	133	4	j1	ORG
ejpam-6598	133	5	j2, j3, .	ORG
ejpam-6598	135	1	〈√ 1−	PERSON
ejpam-6598	135	2	i=1	GPE
ejpam-6598	135	3	1−	ORDINAL
ejpam-6598	135	4	wi	ORG
ejpam-6598	135	5	∏n	DATE
ejpam-6598	135	6	i=1 ϑi wi	PERSON
ejpam-6598	135	7	j1	ORG
ejpam-6598	135	8	j2, j3, .	ORG
ejpam-6598	137	1	∏n	DATE
ejpam-6598	137	2	i=1 µ	GPE
ejpam-6598	137	3	i=1	GPE
ejpam-6598	137	4	1−	LANGUAGE
ejpam-6598	137	5	wi	ORG
ejpam-6598	139	1	1	CARDINAL
ejpam-6598	139	2	2	DATE
ejpam-6598	139	3	3	DATE
ejpam-6598	141	1	0	CARDINAL
ejpam-6598	141	2	1	CARDINAL
ejpam-6598	141	3	1	CARDINAL
ejpam-6598	141	4	n. preethi	PERSON
ejpam-6598	141	5	g. k. revathi	PERSON
ejpam-6598	142	1	j. pure	PERSON
ejpam-6598	142	2	18	CARDINAL
ejpam-6598	142	3	3	CARDINAL
ejpam-6598	142	4	2025	CARDINAL
ejpam-6598	142	5	6598 7	DATE
ejpam-6598	143	1	pythagorean	ORG
ejpam-6598	144	1	21	DATE
ejpam-6598	146	1	∈	ORG
ejpam-6598	148	1	1∼	DATE
ejpam-6598	149	1	⋃	PRODUCT
ejpam-6598	152	1	22	DATE
ejpam-6598	153	1	pfdfs ω	ORG
ejpam-6598	153	2	−os	ORG
ejpam-6598	153	3	ω	ORG
ejpam-6598	154	1	•	CARDINAL
ejpam-6598	154	2	23	CARDINAL
ejpam-6598	155	1	pfdfts	PERSON
ejpam-6598	155	2	ω	ORG
ejpam-6598	157	1	ω ⊆	ORG
ejpam-6598	157	2	− i(ω	PERSON
ejpam-6598	158	1	⊆	CARDINAL
ejpam-6598	158	2	pfdb≈f −os	ORG
ejpam-6598	158	3	24	DATE
ejpam-6598	161	1	1	CARDINAL
ejpam-6598	161	2	1∼	CARDINAL
ejpam-6598	161	3	1	CARDINAL
ejpam-6598	161	4	1	CARDINAL
ejpam-6598	161	5	1∼	CARDINAL
ejpam-6598	161	6	1	CARDINAL
ejpam-6598	161	7	0	CARDINAL
ejpam-6598	161	8	1	CARDINAL
ejpam-6598	161	9	ω	CARDINAL
ejpam-6598	162	1	m/0.1	PERSON
ejpam-6598	162	2	m/0.9	PERSON
ejpam-6598	163	1	1∼	DATE
ejpam-6598	164	1	i(ω	PERSON
ejpam-6598	166	1	c(ω	PERSON
ejpam-6598	171	1	ω	ORG
ejpam-6598	171	2	− cs	ORG
ejpam-6598	171	3	ω	ORG
ejpam-6598	171	4	−os	ORG
ejpam-6598	173	1	25	DATE
ejpam-6598	175	1	⊆	CARDINAL
ejpam-6598	175	2	ω	ORG
ejpam-6598	177	1	c(ω	PERSON
ejpam-6598	178	1	0∼.	CARDINAL
ejpam-6598	178	2	26	DATE
ejpam-6598	179	1	ω	ORG
ejpam-6598	181	1	0∼.	CARDINAL
ejpam-6598	181	2	2	CARDINAL
ejpam-6598	182	1	1∼,x	CARDINAL
ejpam-6598	183	1	1	CARDINAL
ejpam-6598	183	2	1	CARDINAL
ejpam-6598	183	3	1	CARDINAL
ejpam-6598	183	4	1∼	CARDINAL
ejpam-6598	183	5	1	CARDINAL
ejpam-6598	183	6	0	CARDINAL
ejpam-6598	183	7	1	CARDINAL
ejpam-6598	183	8	0	CARDINAL
ejpam-6598	183	9	1	CARDINAL
ejpam-6598	183	10	ω	CARDINAL
ejpam-6598	183	11	n. preethi	PERSON
ejpam-6598	183	12	g. k. revathi	PERSON
ejpam-6598	184	1	j. pure	PERSON
ejpam-6598	184	2	18	CARDINAL
ejpam-6598	184	3	3	CARDINAL
ejpam-6598	184	4	2025	CARDINAL
ejpam-6598	184	5	6598 8	DATE
ejpam-6598	184	6	17 x	QUANTITY
ejpam-6598	186	1	m/0.4,n/0.5	CARDINAL
ejpam-6598	187	1	ω	ORDINAL
ejpam-6598	187	2	1∼	CARDINAL
ejpam-6598	187	3	g1	ORG
ejpam-6598	188	1	− i(c(ωc	GPE
ejpam-6598	190	1	− i(c(g2	ORG
ejpam-6598	191	1	− i(c(g1	PERSON
ejpam-6598	192	1	1∼	CARDINAL
ejpam-6598	193	1	1∼.	CARDINAL
ejpam-6598	193	2	ω	ORG
ejpam-6598	193	3	g1	ORG
ejpam-6598	196	1	∪g2	GPE
ejpam-6598	197	1	0∼.	CARDINAL
ejpam-6598	198	1	27	DATE
ejpam-6598	199	1	pfdb≈f	GPE
ejpam-6598	199	2	−os	ORG
ejpam-6598	199	3	28	CARDINAL
ejpam-6598	200	1	ω	ORG
ejpam-6598	200	2	ωn	CARDINAL
ejpam-6598	201	1	ω	ORG
ejpam-6598	202	1	29	CARDINAL
ejpam-6598	203	1	apfdfts	PERSON
ejpam-6598	203	2	1∼.	CARDINAL
ejpam-6598	203	3	ωn	CARDINAL
ejpam-6598	203	4	pfdfts	PERSON
ejpam-6598	203	5	pfdfts	PERSON
ejpam-6598	203	6	second	ORDINAL
ejpam-6598	204	1	1	CARDINAL
ejpam-6598	207	1	ω ⊆ 1∼.	ORG
ejpam-6598	207	2	ω	ORG
ejpam-6598	207	3	ω	ORG
ejpam-6598	209	1	ω	CARDINAL
ejpam-6598	209	2	1∼	CARDINAL
ejpam-6598	209	3	ω	ORG
ejpam-6598	210	1	pfdb≈f	GPE
ejpam-6598	211	1	−os	ORG
ejpam-6598	211	2	1∼	CARDINAL
ejpam-6598	212	1	2	CARDINAL
ejpam-6598	213	1	− i(ω	PERSON
ejpam-6598	214	1	ω	ORG
ejpam-6598	216	1	ω	ORG
ejpam-6598	216	2	− i(ω	PERSON
ejpam-6598	217	1	− c(ω	PERSON
ejpam-6598	220	1	c(ω	PERSON
ejpam-6598	221	1	− i(ω	PERSON
ejpam-6598	223	1	ω	ORG
ejpam-6598	225	1	3	CARDINAL
ejpam-6598	229	1	⊂	GPE
ejpam-6598	230	1	ω ⊂	PERCENT
ejpam-6598	230	2	ω	ORG
ejpam-6598	234	1	n. preethi	PERSON
ejpam-6598	234	2	g. k. revathi	PERSON
ejpam-6598	235	1	j. pure	PERSON
ejpam-6598	235	2	18	CARDINAL
ejpam-6598	235	3	3	CARDINAL
ejpam-6598	235	4	2025	CARDINAL
ejpam-6598	235	5	6598 9	DATE
ejpam-6598	235	6	17	CARDINAL
ejpam-6598	235	7	30	DATE
ejpam-6598	236	1	fts	PRODUCT
ejpam-6598	236	2	ω	ORG
ejpam-6598	238	1	4	CARDINAL
ejpam-6598	241	1	ω	ORG
ejpam-6598	241	2	first	ORDINAL
ejpam-6598	242	1	ω	CARDINAL
ejpam-6598	243	1	ω	EVENT
ejpam-6598	245	1	≈	CARDINAL
ejpam-6598	246	1	≈	CARDINAL
ejpam-6598	247	1	− i(ω	PERSON
ejpam-6598	248	1	0∼.	CARDINAL
ejpam-6598	250	1	ωn	CARDINAL
ejpam-6598	252	1	5	CARDINAL
ejpam-6598	257	1	1∼.	CARDINAL
ejpam-6598	257	2	ωn	CARDINAL
ejpam-6598	259	1	1∼	CARDINAL
ejpam-6598	260	1	1∼.	CARDINAL
ejpam-6598	261	1	31	DATE
ejpam-6598	262	1	two	CARDINAL
ejpam-6598	262	2	pfdb≈f	GPE
ejpam-6598	263	1	1	CARDINAL
ejpam-6598	263	2	k = x(p	PERSON
ejpam-6598	263	3	{k	PERSON
ejpam-6598	263	4	−os	ORG
ejpam-6598	264	1	2	CARDINAL
ejpam-6598	265	1	two	CARDINAL
ejpam-6598	266	1	−os	ORG
ejpam-6598	267	1	6	CARDINAL
ejpam-6598	268	1	only one	CARDINAL
ejpam-6598	270	1	two	CARDINAL
ejpam-6598	270	2	k = x1(p	PERSON
ejpam-6598	272	1	pfdb≈f	GPE
ejpam-6598	272	2	two	CARDINAL
ejpam-6598	272	3	−os	ORG
ejpam-6598	272	4	k ∈ f	ORG
ejpam-6598	272	5	l ∈	PERSON
ejpam-6598	272	6	0∼.	CARDINAL
ejpam-6598	272	7	ω	CARDINAL
ejpam-6598	272	8	f\k)∪l	ORG
ejpam-6598	272	9	−os	ORG
ejpam-6598	273	1	lemma 1	ORG
ejpam-6598	273	2	lemma 2	ORG
ejpam-6598	275	1	pfdb≈f −os	ORG
ejpam-6598	275	2	−os	ORG
ejpam-6598	276	1	second	ORDINAL
ejpam-6598	276	2	∩	WORK_OF_ART
ejpam-6598	279	1	at least one	CARDINAL
ejpam-6598	279	2	two	CARDINAL
ejpam-6598	280	1	32	DATE
ejpam-6598	281	1	apfdfts	PERSON
ejpam-6598	281	2	−os	ORG
ejpam-6598	284	1	n. preethi	PERSON
ejpam-6598	284	2	g. k. revathi	PERSON
ejpam-6598	285	1	j. pure	PERSON
ejpam-6598	285	2	18	CARDINAL
ejpam-6598	285	3	3	CARDINAL
ejpam-6598	285	4	2025	CARDINAL
ejpam-6598	285	5	6598 10	DATE
ejpam-6598	285	6	17	CARDINAL
ejpam-6598	286	1	−cs	ORG
ejpam-6598	286	2	−os	ORG
ejpam-6598	287	1	−os	ORG
ejpam-6598	287	2	−cs	ORG
ejpam-6598	294	1	pfd b≈f −os	ORG
ejpam-6598	294	2	−cs	ORG
ejpam-6598	298	1	− c(i(k	ORG
ejpam-6598	299	1	∩	PERSON
ejpam-6598	301	1	− c(i(k	ORG
ejpam-6598	301	2	∩	PERSON
ejpam-6598	302	1	− i({k	PERSON
ejpam-6598	305	1	33	DATE
ejpam-6598	307	1	9	CARDINAL
ejpam-6598	308	1	proof	PERSON
ejpam-6598	309	1	ω	ORG
ejpam-6598	310	1	ω	ORG
ejpam-6598	310	2	pfdb≈f -submaximal	GPE
ejpam-6598	310	3	ω	ORG
ejpam-6598	310	4	ω	ORG
ejpam-6598	312	1	ω	ORG
ejpam-6598	312	2	ω	ORG
ejpam-6598	312	3	−os	ORG
ejpam-6598	313	1	34	DATE
ejpam-6598	314	1	≈	CARDINAL
ejpam-6598	314	2	−os	ORG
ejpam-6598	315	1	4	CARDINAL
ejpam-6598	315	2	pythagorean	ORG
ejpam-6598	316	1	35	DATE
ejpam-6598	317	1	η	PERSON
ejpam-6598	318	1	σ	ORG
ejpam-6598	318	2	ω ⊆	ORG
ejpam-6598	318	3	1∼	MONEY
ejpam-6598	320	1	σ(ω	PERSON
ejpam-6598	320	2	pfdb≈f −os	ORG
ejpam-6598	320	3	η	PERSON
ejpam-6598	321	1	10	CARDINAL
ejpam-6598	323	1	n. preethi	PERSON
ejpam-6598	323	2	g. k. revathi	PERSON
ejpam-6598	324	1	j. pure	PERSON
ejpam-6598	324	2	18	CARDINAL
ejpam-6598	324	3	3	CARDINAL
ejpam-6598	324	4	2025	CARDINAL
ejpam-6598	324	5	6598 11	DATE
ejpam-6598	324	6	17	CARDINAL
ejpam-6598	325	1	η	PERSON
ejpam-6598	325	2	pfdb≈f	GPE
ejpam-6598	325	3	η	PERSON
ejpam-6598	326	1	ω	ORG
ejpam-6598	326	2	η	PERSON
ejpam-6598	326	3	ω ⊆	ORG
ejpam-6598	326	4	σ−1(ω	ORG
ejpam-6598	326	5	⊆	CARDINAL
ejpam-6598	327	1	σ−1(ω	ORG
ejpam-6598	327	2	σ	ORG
ejpam-6598	327	3	σ−1(ω	ORG
ejpam-6598	329	1	ω	ORG
ejpam-6598	331	1	−cs	ORG
ejpam-6598	331	2	η	PERSON
ejpam-6598	332	1	η	PERSON
ejpam-6598	333	1	11	CARDINAL
ejpam-6598	336	1	η	PERSON
ejpam-6598	336	2	pfdb≈f	GPE
ejpam-6598	336	3	η	PERSON
ejpam-6598	337	1	η	PERSON
ejpam-6598	338	1	−os	ORG
ejpam-6598	338	2	−cs	ORG
ejpam-6598	338	3	η	PERSON
ejpam-6598	339	1	ω	ORG
ejpam-6598	339	2	−os	ORG
ejpam-6598	339	3	−cs	ORG
ejpam-6598	340	1	ω	ORG
ejpam-6598	340	2	−os	ORG
ejpam-6598	340	3	σ(ω	PERSON
ejpam-6598	340	4	⊆	CARDINAL
ejpam-6598	341	1	⊆	CARDINAL
ejpam-6598	341	2	σ−1(ς	PERSON
ejpam-6598	342	1	σ(ω	PERSON
ejpam-6598	342	2	σ−1(ς	PERSON
ejpam-6598	343	1	∩	PERSON
ejpam-6598	343	2	1∼	CARDINAL
ejpam-6598	344	1	η	PERSON
ejpam-6598	345	1	ω	ORG
ejpam-6598	346	1	1∼\σ−1(ζ	DATE
ejpam-6598	347	1	σ−1(1∼\ζ	DATE
ejpam-6598	349	1	η	PERSON
ejpam-6598	350	1	η	PERSON
ejpam-6598	351	1	η	PERSON
ejpam-6598	352	1	1	CARDINAL
ejpam-6598	356	1	5	CARDINAL
ejpam-6598	357	1	first	ORDINAL
ejpam-6598	364	1	n. preethi	PERSON
ejpam-6598	364	2	g. k. revathi	PERSON
ejpam-6598	365	1	j. pure	PERSON
ejpam-6598	365	2	18	CARDINAL
ejpam-6598	365	3	3	CARDINAL
ejpam-6598	365	4	2025	CARDINAL
ejpam-6598	365	5	6598 12	DATE
ejpam-6598	365	6	17	CARDINAL
ejpam-6598	373	1	5.1	CARDINAL
ejpam-6598	373	2	1∼	DATE
ejpam-6598	374	1	1∼	DATE
ejpam-6598	375	1	⋃	PRODUCT
ejpam-6598	378	1	w	PERSON
ejpam-6598	381	1	1	CARDINAL
ejpam-6598	381	2	2	DATE
ejpam-6598	381	3	3	DATE
ejpam-6598	383	1	0	CARDINAL
ejpam-6598	383	2	1	CARDINAL
ejpam-6598	384	1	1	CARDINAL
ejpam-6598	384	2	six	CARDINAL
ejpam-6598	387	1	〈√ 1−	PERSON
ejpam-6598	387	2	i=1	GPE
ejpam-6598	387	3	1−	ORDINAL
ejpam-6598	387	4	wi	ORG
ejpam-6598	387	5	∏n	DATE
ejpam-6598	387	6	i1	ORG
ejpam-6598	387	7	j2, j3, .	ORG
ejpam-6598	390	1	∏n	DATE
ejpam-6598	390	2	i=1 µ	GPE
ejpam-6598	390	3	i=1	GPE
ejpam-6598	390	4	1−	LANGUAGE
ejpam-6598	390	5	wi	ORG
ejpam-6598	391	1	5.2	CARDINAL
ejpam-6598	391	2	three	CARDINAL
ejpam-6598	391	3	six	CARDINAL
ejpam-6598	392	1	n. preethi	PERSON
ejpam-6598	392	2	g. k. revathi	PERSON
ejpam-6598	393	1	j. pure	PERSON
ejpam-6598	393	2	18	CARDINAL
ejpam-6598	393	3	3	CARDINAL
ejpam-6598	393	4	2025	CARDINAL
ejpam-6598	393	5	6598 13	DATE
ejpam-6598	393	6	17	CARDINAL
ejpam-6598	402	1	six	CARDINAL
ejpam-6598	409	1	20	CARDINAL
ejpam-6598	410	1	1	CARDINAL
ejpam-6598	410	2	1∼	DATE
ejpam-6598	410	3	0	CARDINAL
ejpam-6598	410	4	1	CARDINAL
ejpam-6598	410	5	1∼	CARDINAL
ejpam-6598	410	6	1	CARDINAL
ejpam-6598	410	7	ω	CARDINAL
ejpam-6598	410	8	0.21	CARDINAL
ejpam-6598	410	9	0.97	CARDINAL
ejpam-6598	410	10	ω	ORG
ejpam-6598	411	1	2	CARDINAL
ejpam-6598	411	2	τ(ω	PERSON
ejpam-6598	412	1	∩ ω ̸= 0∼	ORG
ejpam-6598	412	2	ω ∈ τ ω ̸=	ORG
ejpam-6598	413	1	considerg1	PERSON
ejpam-6598	414	1	0.34	CARDINAL
ejpam-6598	414	2	0.38	CARDINAL
ejpam-6598	414	3	0.46	CARDINAL
ejpam-6598	414	4	0.77	CARDINAL
ejpam-6598	414	5	0.71	CARDINAL
ejpam-6598	414	6	0.42	CARDINAL
ejpam-6598	414	7	0.91	CARDINAL
ejpam-6598	414	8	0.26)},g6	CARDINAL
ejpam-6598	414	9	0.28	CARDINAL
ejpam-6598	414	10	0.44	CARDINAL
ejpam-6598	414	11	0.61	CARDINAL
ejpam-6598	414	12	0.66	CARDINAL
ejpam-6598	414	13	g9	GPE
ejpam-6598	414	14	0.75	CARDINAL
ejpam-6598	414	15	0.54	CARDINAL
ejpam-6598	414	16	0.49	CARDINAL
ejpam-6598	414	17	0.58	CARDINAL
ejpam-6598	414	18	0.61	CARDINAL
ejpam-6598	414	19	0.67	CARDINAL
ejpam-6598	414	20	0.62	CARDINAL
ejpam-6598	414	21	0.73	CARDINAL
ejpam-6598	414	22	0.56	CARDINAL
ejpam-6598	416	1	0.34	CARDINAL
ejpam-6598	416	2	0.84	CARDINAL
ejpam-6598	416	3	0.38,0.72	CARDINAL
ejpam-6598	416	4	0.91,0.26	CARDINAL
ejpam-6598	416	5	0.28,0.83	CARDINAL
ejpam-6598	416	6	0.44,0.85	CARDINAL
ejpam-6598	416	7	0.75,0.72	CARDINAL
ejpam-6598	416	8	0.49,0.63	ORG
ejpam-6598	416	9	0.58	CARDINAL
ejpam-6598	416	10	0.61	CARDINAL
ejpam-6598	416	11	0.67	CARDINAL
ejpam-6598	416	12	0.51	CARDINAL
ejpam-6598	416	13	0.62	CARDINAL
ejpam-6598	416	14	0.75	CARDINAL
ejpam-6598	416	15	0.73	CARDINAL
ejpam-6598	416	16	0.56	CARDINAL
ejpam-6598	416	17	∩ ω ̸= 0∼. n. preethi	LAW
ejpam-6598	416	18	g. k. revathi	PERSON
ejpam-6598	417	1	j. pure	PERSON
ejpam-6598	417	2	18	CARDINAL
ejpam-6598	417	3	3	CARDINAL
ejpam-6598	417	4	2025	CARDINAL
ejpam-6598	417	5	6598 14	DATE
ejpam-6598	417	6	17 •	CARDINAL
ejpam-6598	417	7	1∼,gα	CARDINAL
ejpam-6598	418	1	3	CARDINAL
ejpam-6598	418	2	nms	ORG
ejpam-6598	422	1	0.44	CARDINAL
ejpam-6598	424	1	2	CARDINAL
ejpam-6598	424	2	2	CARDINAL
ejpam-6598	424	3	c2 c3 c4 c5 c6 h1	PERSON
ejpam-6598	424	4	0.91,0.26	CARDINAL
ejpam-6598	424	5	0.38,0.72	CARDINAL
ejpam-6598	424	6	0.21,0.97	CARDINAL
ejpam-6598	424	7	0.44,0.85	CARDINAL
ejpam-6598	424	8	0.28,0.83	CARDINAL
ejpam-6598	424	9	1	CARDINAL
ejpam-6598	424	10	0	DATE
ejpam-6598	424	11	0.75,0.72	CARDINAL
ejpam-6598	424	12	0.49,0.63	ORG
ejpam-6598	424	13	0.73,0.56	TIME
ejpam-6598	424	14	0.62,0.75	CARDINAL
ejpam-6598	424	15	0	CARDINAL
ejpam-6598	424	16	1	CARDINAL
ejpam-6598	424	17	4	CARDINAL
ejpam-6598	424	18	six	CARDINAL
ejpam-6598	425	1	0.17	CARDINAL
ejpam-6598	425	2	0.24	CARDINAL
ejpam-6598	425	3	0.3	CARDINAL
ejpam-6598	425	4	0.04	CARDINAL
ejpam-6598	425	5	0.15	CARDINAL
ejpam-6598	425	6	wi ∈	ORG
ejpam-6598	426	1	0	CARDINAL
ejpam-6598	426	2	1	CARDINAL
ejpam-6598	427	1	1	CARDINAL
ejpam-6598	427	2	5	CARDINAL
ejpam-6598	427	3	2.20	CARDINAL
ejpam-6598	428	1	j2, j3,...	ORG
ejpam-6598	429	1	〈√ 1−	PERSON
ejpam-6598	429	2	i=1	GPE
ejpam-6598	429	3	1−	ORDINAL
ejpam-6598	429	4	wi	ORG
ejpam-6598	429	5	∏n	DATE
ejpam-6598	429	6	i=1 ϑi wi	PERSON
ejpam-6598	431	1	1.000	CARDINAL
ejpam-6598	431	2	0.009	CARDINAL
ejpam-6598	432	1	sc	GPE
ejpam-6598	434	1	pfwg(i1	NORP
ejpam-6598	436	1	∏n	DATE
ejpam-6598	436	2	i=1 µ	GPE
ejpam-6598	436	3	i=1	GPE
ejpam-6598	436	4	1−	LANGUAGE
ejpam-6598	436	5	wi	ORG
ejpam-6598	437	1	−0.627	TIME
ejpam-6598	437	2	sc	ORG
ejpam-6598	437	3	sc	GPE
ejpam-6598	439	1	sc	GPE
ejpam-6598	442	1	n. preethi	PERSON
ejpam-6598	442	2	g. k. revathi	PERSON
ejpam-6598	443	1	j. pure	PERSON
ejpam-6598	443	2	18	CARDINAL
ejpam-6598	443	3	3	CARDINAL
ejpam-6598	443	4	2025	CARDINAL
ejpam-6598	443	5	6598 15	DATE
ejpam-6598	443	6	17	CARDINAL
ejpam-6598	450	1	6	CARDINAL
ejpam-6598	450	2	16	CARDINAL
ejpam-6598	454	1	first	ORDINAL
ejpam-6598	459	1	7	CARDINAL
ejpam-6598	460	1	pfdb≈f	GPE
ejpam-6598	466	1	n. preethi	PERSON
ejpam-6598	466	2	g. k. revathi	PERSON
ejpam-6598	467	1	j. pure	PERSON
ejpam-6598	467	2	18	CARDINAL
ejpam-6598	467	3	3	CARDINAL
ejpam-6598	467	4	2025	CARDINAL
ejpam-6598	467	5	6598 16	DATE
ejpam-6598	467	6	17	CARDINAL
ejpam-6598	474	1	topological	ORG
ejpam-6598	476	1	1	CARDINAL
ejpam-6598	476	2	l. a. zadeh	PERSON
ejpam-6598	478	1	8(3):338–353	CARDINAL
ejpam-6598	478	2	1965	DATE
ejpam-6598	479	1	2	CARDINAL
ejpam-6598	479	2	k. m. ordenshiya	PERSON
ejpam-6598	479	3	g. k. revathi	PERSON
ejpam-6598	481	1	1–43	CARDINAL
ejpam-6598	481	2	2025	DATE
ejpam-6598	482	1	3	CARDINAL
ejpam-6598	482	2	harish	NORP
ejpam-6598	483	1	pythagorean	ORG
ejpam-6598	484	1	23(4):546–571	DATE
ejpam-6598	484	2	2017	DATE
ejpam-6598	485	1	4	CARDINAL
ejpam-6598	485	2	r. r. yager	PERSON
ejpam-6598	487	1	ifsa world congress	ORG
ejpam-6598	487	2	annual	DATE
ejpam-6598	487	3	2013	DATE
ejpam-6598	488	1	5	CARDINAL
ejpam-6598	488	2	a. rosenfeld	PERSON
ejpam-6598	490	1	1979	DATE
ejpam-6598	491	1	6	CARDINAL
ejpam-6598	491	2	richa singh	GPE
ejpam-6598	491	3	shruti ugran	PERSON
ejpam-6598	492	1	menstrual cup versus sanitary cup	ORG
ejpam-6598	492	2	two	CARDINAL
ejpam-6598	493	1	15(12):1536–1542	CARDINAL
ejpam-6598	493	2	2023	CARDINAL
ejpam-6598	494	1	7	CARDINAL
ejpam-6598	494	2	r. usha	PERSON
ejpam-6598	496	1	5:202–218	CARDINAL
ejpam-6598	496	2	2014	DATE
ejpam-6598	497	1	8	CARDINAL
ejpam-6598	497	2	s. anjalmose	PERSON
ejpam-6598	497	3	g. thangaraj	PERSON
ejpam-6598	499	1	international journal of mathematics	ORG
ejpam-6598	499	2	4(4):129–136	ORG
ejpam-6598	499	3	2016	DATE
ejpam-6598	500	1	9	CARDINAL
ejpam-6598	501	1	205):59–64, 1996	DATE
ejpam-6598	502	1	10	CARDINAL
ejpam-6598	503	1	g. k. revathi	PERSON
ejpam-6598	505	1	83:20050–20056	CARDINAL
ejpam-6598	505	2	2020	DATE
ejpam-6598	506	1	11	CARDINAL
ejpam-6598	506	2	abdul gawad a. q. al-qubati	PERSON
ejpam-6598	506	3	mohamed el sayed	PERSON
ejpam-6598	507	1	g. k. revathi	PERSON
ejpam-6598	508	1	j. pure	PERSON
ejpam-6598	508	2	18	CARDINAL
ejpam-6598	508	3	3	CARDINAL
ejpam-6598	508	4	2025	CARDINAL
ejpam-6598	508	5	6598 17	DATE
ejpam-6598	508	6	17	CARDINAL
ejpam-6598	509	1	22(3):296–302	ORG
ejpam-6598	509	2	2022	CARDINAL
ejpam-6598	510	1	12	CARDINAL
ejpam-6598	510	2	mehmet unver	PERSON
ejpam-6598	510	3	seyhmus yardımcı	GPE
ejpam-6598	511	1	pythagorean	ORG
ejpam-6598	512	1	5(2):177–183	CARDINAL
ejpam-6598	512	2	2019	DATE
ejpam-6598	513	1	13	CARDINAL
ejpam-6598	513	2	t. yung kong	GPE
ejpam-6598	513	3	a. rosenfeld	PERSON
ejpam-6598	514	1	digital	ORG
ejpam-6598	515	1	48(3):357–393, 1989	DATE
ejpam-6598	516	1	14	CARDINAL
ejpam-6598	516	2	a. rosenfeld	PERSON
ejpam-6598	517	1	digital	ORG
ejpam-6598	518	1	american	NORP
ejpam-6598	518	2	monthly	DATE
ejpam-6598	518	3	86(8):621–630	CARDINAL
ejpam-6598	518	4	1979	DATE
ejpam-6598	519	1	15	CARDINAL
ejpam-6598	519	2	l. vidyarani	PERSON
ejpam-6598	519	3	a. g.	PERSON
ejpam-6598	521	1	22:2243–2254	CARDINAL
ejpam-6598	521	2	2023	CARDINAL
ejpam-6598	522	1	16	CARDINAL
ejpam-6598	522	2	k. t. atanassov	PERSON
ejpam-6598	524	1	1986	DATE