id	sid	eid	entity	type
ejpam-6261	1	1	european journal	ORG
ejpam-6261	1	2	2025	DATE
ejpam-6261	1	3	18	CARDINAL
ejpam-6261	1	4	4	CARDINAL
ejpam-6261	1	5	6261	CARDINAL
ejpam-6261	2	1	new york	GPE
ejpam-6261	2	2	muhammad haris mateen1	PERSON
ejpam-6261	2	3	sarka hoskova-mayerova2,∗	PERSON
ejpam-6261	2	4	alnefaie3	PERSON
ejpam-6261	2	5	minhaj university	ORG
ejpam-6261	2	6	lahore	GPE
ejpam-6261	2	7	pakistan 2	ORG
ejpam-6261	2	8	66210	CARDINAL
ejpam-6261	2	9	brno	GPE
ejpam-6261	2	10	czech republic 3 department	ORG
ejpam-6261	2	11	42353	DATE
ejpam-6261	2	12	saudi arabia	GPE
ejpam-6261	2	13	4	CARDINAL
ejpam-6261	2	14	university of new mexico	ORG
ejpam-6261	2	15	705	CARDINAL
ejpam-6261	2	16	gurley ave.	PERSON
ejpam-6261	2	17	gallup	ORG
ejpam-6261	2	18	87301	DATE
ejpam-6261	3	1	three	CARDINAL
ejpam-6261	6	1	two	CARDINAL
ejpam-6261	7	1	two	CARDINAL
ejpam-6261	10	1	two	CARDINAL
ejpam-6261	12	1	2020	DATE
ejpam-6261	12	2	13e15	CARDINAL
ejpam-6261	12	3	08a72	CARDINAL
ejpam-6261	12	4	03e72	CARDINAL
ejpam-6261	12	5	1	CARDINAL
ejpam-6261	12	6	fermat	ORG
ejpam-6261	12	7	the 1880s	DATE
ejpam-6261	12	8	1	CARDINAL
ejpam-6261	13	1	the 1920s	DATE
ejpam-6261	13	2	krull	PERSON
ejpam-6261	13	3	2	CARDINAL
ejpam-6261	14	1	m. h. mateen	PERSON
ejpam-6261	14	2	s. hoskova-mayerova	PERSON
ejpam-6261	14	3	knefaie@taibahu.edu.sa	ORG
ejpam-6261	14	4	k. alnefaie	PERSON
ejpam-6261	14	5	f. smarandache	PERSON
ejpam-6261	15	1	1	CARDINAL
ejpam-6261	15	2	2025	CARDINAL
ejpam-6261	16	1	m. h. mateen et al	PERSON
ejpam-6261	17	1	j. pure	PERSON
ejpam-6261	17	2	18	CARDINAL
ejpam-6261	17	3	4	CARDINAL
ejpam-6261	17	4	2025	CARDINAL
ejpam-6261	17	5	6261 2	DATE
ejpam-6261	17	6	23	CARDINAL
ejpam-6261	19	1	zadeh	ORG
ejpam-6261	20	1	3	CARDINAL
ejpam-6261	22	1	01	CARDINAL
ejpam-6261	23	1	atanassov	ORG
ejpam-6261	24	1	4	CARDINAL
ejpam-6261	24	2	µ(y	PERSON
ejpam-6261	24	3	µ(y	PERSON
ejpam-6261	25	1	µ(y	PERSON
ejpam-6261	25	2	µ(y	PERSON
ejpam-6261	26	1	0 1	CARDINAL
ejpam-6261	26	2	0 ≤ µ(y	QUANTITY
ejpam-6261	26	3	+ µ(y	PERSON
ejpam-6261	28	1	alolaiyan	PERSON
ejpam-6261	29	1	5	CARDINAL
ejpam-6261	30	1	rosenfeld	PERSON
ejpam-6261	31	1	6	CARDINAL
ejpam-6261	31	2	1971	DATE
ejpam-6261	32	1	biswas	ORG
ejpam-6261	34	1	8	CARDINAL
ejpam-6261	34	2	first	ORDINAL
ejpam-6261	36	1	agboola et al	PERSON
ejpam-6261	37	1	9	CARDINAL
ejpam-6261	38	1	cetkin	ORG
ejpam-6261	38	2	aygun	PERSON
ejpam-6261	38	3	10	CARDINAL
ejpam-6261	40	1	song et al	PERSON
ejpam-6261	41	1	11	CARDINAL
ejpam-6261	41	2	bck-algebras	ORG
ejpam-6261	43	1	chalapathi	PERSON
ejpam-6261	43	2	kumar	PERSON
ejpam-6261	44	1	12	CARDINAL
ejpam-6261	45	1	13	CARDINAL
ejpam-6261	47	1	14	CARDINAL
ejpam-6261	48	1	bck-algebras	ORG
ejpam-6261	49	1	jun et al	PERSON
ejpam-6261	50	1	15	CARDINAL
ejpam-6261	53	1	jun et al	PERSON
ejpam-6261	54	1	16	CARDINAL
ejpam-6261	56	1	17	CARDINAL
ejpam-6261	57	1	gulzar et al	PERSON
ejpam-6261	58	1	18	CARDINAL
ejpam-6261	59	1	alghazzawi et al	PERSON
ejpam-6261	60	1	19	CARDINAL
ejpam-6261	61	1	alolaiyan et al	PERSON
ejpam-6261	62	1	20	CARDINAL
ejpam-6261	62	2	m. h. mateen et al	PERSON
ejpam-6261	63	1	j. pure	PERSON
ejpam-6261	63	2	18	CARDINAL
ejpam-6261	63	3	4	CARDINAL
ejpam-6261	63	4	2025	CARDINAL
ejpam-6261	63	5	6261 3	DATE
ejpam-6261	63	6	23	CARDINAL
ejpam-6261	65	1	altassan et al	PERSON
ejpam-6261	66	1	21	CARDINAL
ejpam-6261	68	1	dilshad et al	PERSON
ejpam-6261	69	1	22	CARDINAL
ejpam-6261	71	1	mateen et al	PERSON
ejpam-6261	73	1	bal et al	PERSON
ejpam-6261	74	1	23	CARDINAL
ejpam-6261	74	2	neutrosophic kernel	ORG
ejpam-6261	76	1	24	CARDINAL
ejpam-6261	78	1	ali et al	PERSON
ejpam-6261	79	1	abobala et al	PERSON
ejpam-6261	80	1	25	CARDINAL
ejpam-6261	82	1	kandasamy et al	PERSON
ejpam-6261	83	1	26	CARDINAL
ejpam-6261	84	1	three	CARDINAL
ejpam-6261	84	2	abelian	NORP
ejpam-6261	85	1	ma et al	PERSON
ejpam-6261	86	1	27	CARDINAL
ejpam-6261	88	1	muhiuddin et al	PERSON
ejpam-6261	89	1	28	CARDINAL
ejpam-6261	90	1	kandasamy et al	PERSON
ejpam-6261	91	1	26	CARDINAL
ejpam-6261	92	1	bashir et al	PERSON
ejpam-6261	93	1	29	CARDINAL
ejpam-6261	93	2	generalized bi-ideals	PERSON
ejpam-6261	94	1	bashir et al	PERSON
ejpam-6261	95	1	30	CARDINAL
ejpam-6261	95	2	three	CARDINAL
ejpam-6261	97	1	31	CARDINAL
ejpam-6261	97	2	32	DATE
ejpam-6261	100	1	m. h. mateen et al	PERSON
ejpam-6261	101	1	j. pure	PERSON
ejpam-6261	101	2	18	CARDINAL
ejpam-6261	101	3	4	CARDINAL
ejpam-6261	101	4	2025	CARDINAL
ejpam-6261	101	5	6261 4	DATE
ejpam-6261	101	6	23	CARDINAL
ejpam-6261	101	7	two	CARDINAL
ejpam-6261	102	1	cif	ORG
ejpam-6261	102	2	33	CARDINAL
ejpam-6261	102	3	34	CARDINAL
ejpam-6261	106	1	cif	ORG
ejpam-6261	106	2	cif	ORG
ejpam-6261	106	3	gulzar et al	PERSON
ejpam-6261	107	1	35	CARDINAL
ejpam-6261	108	1	cartesian	NORP
ejpam-6261	108	2	two	CARDINAL
ejpam-6261	108	3	cif	ORG
ejpam-6261	108	4	cif	ORG
ejpam-6261	110	1	36	CARDINAL
ejpam-6261	110	2	two	CARDINAL
ejpam-6261	110	3	cif	ORG
ejpam-6261	110	4	cif	ORG
ejpam-6261	111	1	hameed et al	PERSON
ejpam-6261	112	1	37	CARDINAL
ejpam-6261	113	1	abdalla	PERSON
ejpam-6261	114	1	38	CARDINAL
ejpam-6261	115	1	ali	PERSON
ejpam-6261	117	1	gulistana et al	PERSON
ejpam-6261	118	1	39	CARDINAL
ejpam-6261	119	1	cartesian	NORP
ejpam-6261	120	1	rahoumah et al	PERSON
ejpam-6261	121	1	40	CARDINAL
ejpam-6261	122	1	vi	PERSON
ejpam-6261	124	1	1	CARDINAL
ejpam-6261	126	1	section 2	LAW
ejpam-6261	128	1	section 3	LAW
ejpam-6261	129	1	two	CARDINAL
ejpam-6261	130	1	neutrosophic(cn	ORG
ejpam-6261	131	1	4th	ORDINAL
ejpam-6261	133	1	m. h. mateen et al	PERSON
ejpam-6261	134	1	j. pure	PERSON
ejpam-6261	134	2	18	CARDINAL
ejpam-6261	134	3	4	CARDINAL
ejpam-6261	134	4	2025	CARDINAL
ejpam-6261	134	5	6261 5	DATE
ejpam-6261	134	6	23	CARDINAL
ejpam-6261	134	7	1	CARDINAL
ejpam-6261	134	8	2	CARDINAL
ejpam-6261	135	1	1	CARDINAL
ejpam-6261	136	1	8	CARDINAL
ejpam-6261	136	2	ns w	GPE
ejpam-6261	138	1	0 ≤	QUANTITY
ejpam-6261	138	2	∈	ORG
ejpam-6261	139	1	2	CARDINAL
ejpam-6261	140	1	38	CARDINAL
ejpam-6261	141	1	m−	NORP
ejpam-6261	143	1	md	GPE
ejpam-6261	144	1	m−	PERSON
ejpam-6261	144	2	m. h. mateen et al	PERSON
ejpam-6261	145	1	j. pure	PERSON
ejpam-6261	145	2	18	CARDINAL
ejpam-6261	145	3	4	CARDINAL
ejpam-6261	145	4	2025	CARDINAL
ejpam-6261	145	5	6261 6	DATE
ejpam-6261	145	6	23	CARDINAL
ejpam-6261	145	7	1	CARDINAL
ejpam-6261	145	8	x × × × × ×	ORG
ejpam-6261	150	1	1	CARDINAL
ejpam-6261	150	2	0	CARDINAL
ejpam-6261	150	3	1	DATE
ejpam-6261	150	4	2	DATE
ejpam-6261	150	5	3	DATE
ejpam-6261	150	6	4	DATE
ejpam-6261	150	7	5	CARDINAL
ejpam-6261	150	8	6	CARDINAL
ejpam-6261	151	1	0.88	CARDINAL
ejpam-6261	151	2	2	CARDINAL
ejpam-6261	151	3	4	DATE
ejpam-6261	151	4	0	DATE
ejpam-6261	153	1	0.11	CARDINAL
ejpam-6261	153	2	2	CARDINAL
ejpam-6261	153	3	4	DATE
ejpam-6261	153	4	0.33	CARDINAL
ejpam-6261	155	1	0.11	CARDINAL
ejpam-6261	155	2	2	CARDINAL
ejpam-6261	155	3	4	DATE
ejpam-6261	155	4	0.77	CARDINAL
ejpam-6261	156	1	r. theorem 1	WORK_OF_ART
ejpam-6261	157	1	38	CARDINAL
ejpam-6261	157	2	two	CARDINAL
ejpam-6261	157	3	3	CARDINAL
ejpam-6261	158	1	31	CARDINAL
ejpam-6261	158	2	32	CARDINAL
ejpam-6261	162	1	−1	DATE
ejpam-6261	163	1	0	CARDINAL
ejpam-6261	163	2	1	CARDINAL
ejpam-6261	164	1	0	CARDINAL
ejpam-6261	164	2	2π	CARDINAL
ejpam-6261	164	3	0− ≤	CARDINAL
ejpam-6261	166	1	0 ≤	MONEY
ejpam-6261	168	1	pw(f)eiθw(f	TIME
ejpam-6261	171	1	x. m. h. mateen et al	PERSON
ejpam-6261	172	1	j. pure	PERSON
ejpam-6261	172	2	18	CARDINAL
ejpam-6261	172	3	4	CARDINAL
ejpam-6261	172	4	2025	CARDINAL
ejpam-6261	172	5	6261 7	DATE
ejpam-6261	172	6	23	CARDINAL
ejpam-6261	172	7	4	CARDINAL
ejpam-6261	173	1	41	CARDINAL
ejpam-6261	173	2	w	ORG
ejpam-6261	173	3	two	CARDINAL
ejpam-6261	173	4	iw∩x(p),fw∩x(p	PERSON
ejpam-6261	174	1	iw∩x(p	PERSON
ejpam-6261	174	2	fw∩x(p	GPE
ejpam-6261	175	1	5	CARDINAL
ejpam-6261	176	1	41	CARDINAL
ejpam-6261	176	2	two	CARDINAL
ejpam-6261	178	1	iw∩x(p),fw∩x(p	PERSON
ejpam-6261	179	1	max{pw(p	DATE
ejpam-6261	179	2	iw∩x(p	PERSON
ejpam-6261	179	3	fw∩x(p	GPE
ejpam-6261	181	1	3	CARDINAL
ejpam-6261	182	1	two	CARDINAL
ejpam-6261	182	2	two	CARDINAL
ejpam-6261	184	1	6	CARDINAL
ejpam-6261	186	1	θwπ(f	ORG
ejpam-6261	186	2	φwπ(f	GPE
ejpam-6261	186	3	ωwπ(f	CARDINAL
ejpam-6261	187	1	2πθw	CARDINAL
ejpam-6261	187	2	φwπ(f	GPE
ejpam-6261	188	1	2πφw	CARDINAL
ejpam-6261	188	2	ωwπ(f	CARDINAL
ejpam-6261	189	1	2πωw	CARDINAL
ejpam-6261	190	1	0 ≤ θwπ(f	QUANTITY
ejpam-6261	191	1	+ φwπ(f	PERCENT
ejpam-6261	192	1	7	CARDINAL
ejpam-6261	194	1	θwπ(u	CARDINAL
ejpam-6261	194	2	θwπ(u	CARDINAL
ejpam-6261	197	1	8	DATE
ejpam-6261	198	1	two	CARDINAL
ejpam-6261	198	2	k.	PERSON
ejpam-6261	198	3	m. h. mateen et al	PERSON
ejpam-6261	199	1	j. pure	PERSON
ejpam-6261	199	2	18	CARDINAL
ejpam-6261	199	3	4	CARDINAL
ejpam-6261	199	4	2025	CARDINAL
ejpam-6261	199	5	6261 8	DATE
ejpam-6261	199	6	cns w	ORG
ejpam-6261	199	7	∈	ORG
ejpam-6261	204	1	cns w	ORG
ejpam-6261	206	1	9	CARDINAL
ejpam-6261	207	1	tw	PERSON
ejpam-6261	207	2	∀ p	ORG
ejpam-6261	211	1	u)eiφw	ORG
ejpam-6261	213	1	pu)eiωw	PERSON
ejpam-6261	213	2	two	CARDINAL
ejpam-6261	214	1	2	CARDINAL
ejpam-6261	216	1	w	GPE
ejpam-6261	218	1	k ∈ k	PERSON
ejpam-6261	219	1	0	CARDINAL
ejpam-6261	219	2	1	CARDINAL
ejpam-6261	219	3	0 ≤	QUANTITY
ejpam-6261	219	4	k)+ ≤ 3	DATE
ejpam-6261	219	5	m. h. mateen et al	PERSON
ejpam-6261	220	1	j. pure	PERSON
ejpam-6261	220	2	18	CARDINAL
ejpam-6261	220	3	4	CARDINAL
ejpam-6261	220	4	2025	CARDINAL
ejpam-6261	220	5	6261 9	DATE
ejpam-6261	221	1	k ∈	PERSON
ejpam-6261	223	1	0	CARDINAL
ejpam-6261	223	2	2π	CARDINAL
ejpam-6261	225	1	w	ORG
ejpam-6261	225	2	k,	ORG
ejpam-6261	228	1	k),tw	ORG
ejpam-6261	229	1	w	GPE
ejpam-6261	231	1	pw (kl)eiωw (kl	PERSON
ejpam-6261	231	2	k),tw	ORG
ejpam-6261	232	1	w	GPE
ejpam-6261	233	1	w	ORG
ejpam-6261	233	2	k, l ∈ h.	ORG
ejpam-6261	234	1	k)eiφw	ORG
ejpam-6261	235	1	w	GPE
ejpam-6261	237	1	kl)eiφw	ORG
ejpam-6261	237	2	k)eiφw	ORG
ejpam-6261	238	1	w	GPE
ejpam-6261	239	1	k − l)eiωw	ORG
ejpam-6261	240	1	k − l	PERSON
ejpam-6261	242	1	k),fw	ORG
ejpam-6261	243	1	l)eiωw	ORG
ejpam-6261	243	2	l)}eimax{ωw (k),ωw (l	ORG
ejpam-6261	244	1	m. h. mateen et al	PERSON
ejpam-6261	245	1	j. pure	PERSON
ejpam-6261	245	2	18	CARDINAL
ejpam-6261	245	3	4	CARDINAL
ejpam-6261	245	4	2025	CARDINAL
ejpam-6261	245	5	6261 10	DATE
ejpam-6261	245	6	w	GPE
ejpam-6261	248	1	k),fw	ORG
ejpam-6261	248	2	l)eiωw	ORG
ejpam-6261	248	3	l)}eimax{ωw (k),ωw (l	ORG
ejpam-6261	249	1	w	GPE
ejpam-6261	250	1	w	GPE
ejpam-6261	250	2	nsr	ORG
ejpam-6261	250	3	w	GPE
ejpam-6261	250	4	π-nsr	ORG
ejpam-6261	251	1	w	ORG
ejpam-6261	251	2	w	GPE
ejpam-6261	251	3	nsr	ORG
ejpam-6261	251	4	π-nsr	ORG
ejpam-6261	252	1	tw	ORG
ejpam-6261	252	2	k − l	PERSON
ejpam-6261	254	1	tw	PERSON
ejpam-6261	255	1	k),tw	ORG
ejpam-6261	256	1	tw	PERSON
ejpam-6261	257	1	k),tw	ORG
ejpam-6261	259	1	k)eiφw	ORG
ejpam-6261	260	1	kl)eiφw	ORG
ejpam-6261	260	2	k)eiφw	ORG
ejpam-6261	262	1	m. h. mateen et al	PERSON
ejpam-6261	263	1	j. pure	PERSON
ejpam-6261	263	2	18	CARDINAL
ejpam-6261	263	3	4	CARDINAL
ejpam-6261	263	4	2025	CARDINAL
ejpam-6261	263	5	6261 11	DATE
ejpam-6261	263	6	23	CARDINAL
ejpam-6261	264	1	k − l)eiωw	ORG
ejpam-6261	265	1	l)}eimax{ωw (k),ωw (l	ORG
ejpam-6261	265	2	l)eiωw	ORG
ejpam-6261	265	3	k),fw	ORG
ejpam-6261	266	1	l)}eimax{ωw (k),ωw (l	ORG
ejpam-6261	266	2	l)eiωw	ORG
ejpam-6261	266	3	k),fw	ORG
ejpam-6261	267	1	w	GPE
ejpam-6261	268	1	two	CARDINAL
ejpam-6261	269	1	3	CARDINAL
ejpam-6261	269	2	two	CARDINAL
ejpam-6261	272	1	1	CARDINAL
ejpam-6261	273	1	two	CARDINAL
ejpam-6261	273	2	two	CARDINAL
ejpam-6261	275	1	2	CARDINAL
ejpam-6261	275	2	0,±1,±2,±3	CARDINAL
ejpam-6261	276	1	w	ORG
ejpam-6261	276	2	two	CARDINAL
ejpam-6261	277	1	0.3e	CARDINAL
ejpam-6261	277	2	3z	CARDINAL
ejpam-6261	280	1	0.4e	CARDINAL
ejpam-6261	280	2	3	CARDINAL
ejpam-6261	280	3	3z	CARDINAL
ejpam-6261	282	1	0.2e	CARDINAL
ejpam-6261	282	2	0.6e	CARDINAL
ejpam-6261	282	3	4	CARDINAL
ejpam-6261	284	1	0.2e	CARDINAL
ejpam-6261	284	2	∈	ORG
ejpam-6261	285	1	8	CARDINAL
ejpam-6261	288	1	0.1e	CARDINAL
ejpam-6261	288	2	4	CARDINAL
ejpam-6261	288	3	∈	ORG
ejpam-6261	289	1	8	CARDINAL
ejpam-6261	291	1	0.4e	CARDINAL
ejpam-6261	291	2	∈	ORG
ejpam-6261	291	3	9	CARDINAL
ejpam-6261	292	1	m. h. mateen et al	PERSON
ejpam-6261	293	1	j. pure	PERSON
ejpam-6261	293	2	18	CARDINAL
ejpam-6261	293	3	4	CARDINAL
ejpam-6261	293	4	2025	CARDINAL
ejpam-6261	293	5	6261 12	DATE
ejpam-6261	293	6	23	CARDINAL
ejpam-6261	293	7	w	ORG
ejpam-6261	293	8	two	CARDINAL
ejpam-6261	293	9	5 w	MONEY
ejpam-6261	293	10	iw∪x	GPE
ejpam-6261	295	1	0.3e	CARDINAL
ejpam-6261	295	2	∈	ORG
ejpam-6261	295	3	0.2e	CARDINAL
ejpam-6261	295	4	3	CARDINAL
ejpam-6261	295	5	∈	ORG
ejpam-6261	295	6	3z	CARDINAL
ejpam-6261	295	7	8	CARDINAL
ejpam-6261	298	1	0.4e	CARDINAL
ejpam-6261	299	1	3	CARDINAL
ejpam-6261	299	2	∈	ORG
ejpam-6261	299	3	4	CARDINAL
ejpam-6261	299	4	∈	ORG
ejpam-6261	299	5	3z	CARDINAL
ejpam-6261	299	6	4	CARDINAL
ejpam-6261	301	1	0.2e	CARDINAL
ejpam-6261	301	2	∈	ORG
ejpam-6261	301	3	0.4e	CARDINAL
ejpam-6261	302	1	9	CARDINAL
ejpam-6261	302	2	∈	ORG
ejpam-6261	302	3	3z 0.2e	CARDINAL
ejpam-6261	302	4	9	CARDINAL
ejpam-6261	303	1	15	CARDINAL
ejpam-6261	303	2	10	CARDINAL
ejpam-6261	304	1	0.3e	CARDINAL
ejpam-6261	305	1	0.2e	CARDINAL
ejpam-6261	305	2	3	DATE
ejpam-6261	306	1	8	DATE
ejpam-6261	306	2	0.2e	CARDINAL
ejpam-6261	306	3	3	CARDINAL
ejpam-6261	306	4	0.2e	CARDINAL
ejpam-6261	307	1	10	CARDINAL
ejpam-6261	309	1	r.	NORP
ejpam-6261	310	1	10	CARDINAL
ejpam-6261	311	1	j ∈	PERSON
ejpam-6261	311	2	ν	NORP
ejpam-6261	311	3	η	GPE
ejpam-6261	312	1	0	CARDINAL
ejpam-6261	312	2	1	CARDINAL
ejpam-6261	312	3	ν̂	LOC
ejpam-6261	312	4	ρ̂	GPE
ejpam-6261	313	1	0	CARDINAL
ejpam-6261	313	2	2π	CARDINAL
ejpam-6261	314	1	η	GPE
ejpam-6261	314	2	ν̂	LOC
ejpam-6261	314	3	ρ̂	GPE
ejpam-6261	315	1	j ∈	PERSON
ejpam-6261	315	2	ν̂	LOC
ejpam-6261	315	3	η	GPE
ejpam-6261	315	4	φw(j	GPE
ejpam-6261	315	5	ρ̂	MONEY
ejpam-6261	316	1	ρ̂	MONEY
ejpam-6261	316	2	j ∈	PERSON
ejpam-6261	316	3	ρ̂	GPE
ejpam-6261	317	1	j ∈	PERSON
ejpam-6261	317	2	η	GPE
ejpam-6261	317	3	φw(j	GPE
ejpam-6261	318	1	ν̂ = η̂	PERSON
ejpam-6261	318	2	ρ̂	GPE
ejpam-6261	318	3	j ∈	PERSON
ejpam-6261	318	4	ρ̂	MONEY
ejpam-6261	319	1	4	CARDINAL
ejpam-6261	320	1	η	GPE
ejpam-6261	320	2	ν̂	LOC
ejpam-6261	320	3	ρ̂	GPE
ejpam-6261	320	4	ν	NORP
ejpam-6261	320	5	η	GPE
ejpam-6261	321	1	0	CARDINAL
ejpam-6261	321	2	1	CARDINAL
ejpam-6261	321	3	ν̂	LOC
ejpam-6261	321	4	ρ̂	GPE
ejpam-6261	322	1	0	CARDINAL
ejpam-6261	322	2	2π	CARDINAL
ejpam-6261	322	3	ν̂	LOC
ejpam-6261	322	4	η	GPE
ejpam-6261	322	5	φw(j	GPE
ejpam-6261	323	1	η	GPE
ejpam-6261	323	2	ν̂	LOC
ejpam-6261	323	3	ρ̂	GPE
ejpam-6261	323	4	ν	NORP
ejpam-6261	323	5	η	GPE
ejpam-6261	323	6	ν̂	LOC
ejpam-6261	323	7	ρ̂	GPE
ejpam-6261	324	1	ν	NORP
ejpam-6261	324	2	η	GPE
ejpam-6261	324	3	ν̂	LOC
ejpam-6261	324	4	ρ̂	GPE
ejpam-6261	324	5	two	CARDINAL
ejpam-6261	325	1	ν̂	LOC
ejpam-6261	325	2	η	GPE
ejpam-6261	325	3	φw(j	GPE
ejpam-6261	327	1	m. h. mateen et al	PERSON
ejpam-6261	328	1	j. pure	PERSON
ejpam-6261	328	2	18	CARDINAL
ejpam-6261	328	3	4	CARDINAL
ejpam-6261	328	4	2025	CARDINAL
ejpam-6261	328	5	6261 13	DATE
ejpam-6261	328	6	23	CARDINAL
ejpam-6261	329	1	w	GPE
ejpam-6261	330	1	w	GPE
ejpam-6261	330	2	≥	PERSON
ejpam-6261	331	1	iw(g	ORG
ejpam-6261	331	2	qw(g)eiφw(g	PERSON
ejpam-6261	332	1	w	GPE
ejpam-6261	332	2	≥ min{qw(j	PERSON
ejpam-6261	332	3	iw(g	ORG
ejpam-6261	332	4	qw(g)eiφw(g	PERSON
ejpam-6261	333	1	w	GPE
ejpam-6261	333	2	≥ min{qw(j	PERSON
ejpam-6261	335	1	ρ̂	GPE
ejpam-6261	335	2	m. h. mateen et al	PERSON
ejpam-6261	336	1	j. pure	PERSON
ejpam-6261	336	2	18	CARDINAL
ejpam-6261	336	3	4	CARDINAL
ejpam-6261	336	4	2025	CARDINAL
ejpam-6261	336	5	6261 14	DATE
ejpam-6261	338	1	ωw(jg	CARDINAL
ejpam-6261	338	2	ρ̂	GPE
ejpam-6261	338	3	mn ∈	ORG
ejpam-6261	338	4	η	GPE
ejpam-6261	338	5	ν̂	LOC
ejpam-6261	338	6	ρ̂	GPE
ejpam-6261	339	1	η	GPE
ejpam-6261	339	2	ν̂	LOC
ejpam-6261	339	3	ρ̂	GPE
ejpam-6261	340	1	5	CARDINAL
ejpam-6261	341	1	w(α	GPE
ejpam-6261	341	2	w	GPE
ejpam-6261	341	3	α̂, qw(j	DATE
ejpam-6261	341	4	γ ∈	ORG
ejpam-6261	342	1	0	CARDINAL
ejpam-6261	342	2	1	CARDINAL
ejpam-6261	342	3	α̂	CARDINAL
ejpam-6261	343	1	0	CARDINAL
ejpam-6261	343	2	2π	CARDINAL
ejpam-6261	345	1	max{ωw(j	GPE
ejpam-6261	346	1	f ∈ w(α	ORG
ejpam-6261	346	2	n ∈ w(α	ORG
ejpam-6261	347	1	w(α	GPE
ejpam-6261	348	1	≥ min{qw(j	PERSON
ejpam-6261	349	1	pw(jg	ORG
ejpam-6261	349	2	≥	PERSON
ejpam-6261	349	3	≥ min{qw(j	PERSON
ejpam-6261	349	4	ωw(jg	CARDINAL
ejpam-6261	352	1	m. h. mateen et al	PERSON
ejpam-6261	353	1	j. pure	PERSON
ejpam-6261	353	2	18	CARDINAL
ejpam-6261	353	3	4	CARDINAL
ejpam-6261	353	4	2025	CARDINAL
ejpam-6261	353	5	6261 15	DATE
ejpam-6261	353	6	23 tw(j−	QUANTITY
ejpam-6261	354	1	iw(j− g	PERSON
ejpam-6261	354	2	qw(g)eiφw(g	PERSON
ejpam-6261	354	3	iw(g	ORG
ejpam-6261	357	1	min{pw(j	GPE
ejpam-6261	359	1	≥ min{qw(j	PERSON
ejpam-6261	359	2	qw(g)eiφw(g	PERSON
ejpam-6261	359	3	iw(g	ORG
ejpam-6261	363	1	α̂, qw(j	DATE
ejpam-6261	364	1	j ∈ w	ORG
ejpam-6261	365	1	4	CARDINAL
ejpam-6261	367	1	11	DATE
ejpam-6261	368	1	w	ORG
ejpam-6261	368	2	two	CARDINAL
ejpam-6261	369	1	cartesian	NORP
ejpam-6261	369	2	π-ns w	ORG
ejpam-6261	370	1	twπ×xπ(f	GPE
ejpam-6261	370	2	iwπ×xπ(f	GPE
ejpam-6261	370	3	g),fwπ×xπ(f	PRODUCT
ejpam-6261	370	4	∈	ORG
ejpam-6261	370	5	2	CARDINAL
ejpam-6261	371	1	two	CARDINAL
ejpam-6261	373	1	3	CARDINAL
ejpam-6261	375	1	k1 ×k2 m. h. mateen et al	ORG
ejpam-6261	376	1	j. pure	PERSON
ejpam-6261	376	2	18	CARDINAL
ejpam-6261	376	3	4	CARDINAL
ejpam-6261	376	4	2025	CARDINAL
ejpam-6261	376	5	6261 16	DATE
ejpam-6261	376	6	23	CARDINAL
ejpam-6261	376	7	12	DATE
ejpam-6261	377	1	two	CARDINAL
ejpam-6261	378	1	cartesian	NORP
ejpam-6261	378	2	cnsss w	PERSON
ejpam-6261	379	1	iw×x(ϑ	GPE
ejpam-6261	379	2	),fw×x(ϑ	PRODUCT
ejpam-6261	379	3	px()}eimin{θw(ϑ),θx(	ORG
ejpam-6261	379	4	iw×x(ϑ	GPE
ejpam-6261	379	5	fw×x(ϑ	GPE
ejpam-6261	382	1	iw×x(ϑ	GPE
ejpam-6261	382	2	fw×x(ϑ	GPE
ejpam-6261	383	1	cartesian	NORP
ejpam-6261	383	2	two	CARDINAL
ejpam-6261	384	1	6	CARDINAL
ejpam-6261	385	1	two	CARDINAL
ejpam-6261	388	1	k ∈ r1	PERSON
ejpam-6261	389	1	k, l	ORG
ejpam-6261	394	1	min{min{tw(ϑ),tw(k	GPE
ejpam-6261	394	2	),tw×x(k	ORG
ejpam-6261	395	1	),tw×x(k	ORG
ejpam-6261	396	1	tw×x((ϑ	PERSON
ejpam-6261	396	2	)(k	GPE
ejpam-6261	397	1	)(ϑ	GPE
ejpam-6261	397	2	))tw×x((ϑ	GPE
ejpam-6261	397	3	)(k	GPE
ejpam-6261	400	1	px(l	ORG
ejpam-6261	401	1	min{min{tw(ϑ),tw(k	GPE
ejpam-6261	401	2	),tw×x(k	ORG
ejpam-6261	401	3	tw×x((ϑ,	ORG
ejpam-6261	401	4	)(k	GPE
ejpam-6261	402	1	),tw×x(k	ORG
ejpam-6261	404	1	)(ϑ	GPE
ejpam-6261	404	2	))iw×x((ϑ	PERSON
ejpam-6261	406	1	iw×x(ϑ− k	PERSON
ejpam-6261	407	1	qw×x(ϑ− k	PERSON
ejpam-6261	407	2	m. h. mateen et al	PERSON
ejpam-6261	408	1	j. pure	PERSON
ejpam-6261	408	2	18	CARDINAL
ejpam-6261	408	3	4	CARDINAL
ejpam-6261	408	4	2025	CARDINAL
ejpam-6261	408	5	6261 17	DATE
ejpam-6261	408	6	23	CARDINAL
ejpam-6261	408	7	min{qw(ϑ−	CARDINAL
ejpam-6261	408	8	min{iw(k	PERSON
ejpam-6261	408	9	min{iw×x(ϑ	GPE
ejpam-6261	408	10	iw×x(k	GPE
ejpam-6261	408	11	min{iw×x(ϑ	GPE
ejpam-6261	408	12	iw×x(k	GPE
ejpam-6261	409	1	iw×x	PERSON
ejpam-6261	412	1	φx(l	PERSON
ejpam-6261	412	2	ix(l	LANGUAGE
ejpam-6261	412	3	min{iw(ϑ	EVENT
ejpam-6261	412	4	iw×x(ϑ	GPE
ejpam-6261	412	5	iw×x(k	GPE
ejpam-6261	415	1	fw×x(ϑ− k	PRODUCT
ejpam-6261	416	1	max{rw(ϑ− k	PERSON
ejpam-6261	417	1	max{rw(ϑ− k)eiωw(ϑ−k	WORK_OF_ART
ejpam-6261	418	1	max{fw(ϑ− k),fx(− l	WORK_OF_ART
ejpam-6261	419	1	max{fw(k),fx(l	GPE
ejpam-6261	419	2	),fw×x(k	ORG
ejpam-6261	420	1	),fw×x(k	ORG
ejpam-6261	421	1	)(k	GPE
ejpam-6261	425	1	rx(l	PERSON
ejpam-6261	425	2	max{fw(k),fx(l	GPE
ejpam-6261	425	3	),fw×x(k	ORG
ejpam-6261	425	4	)(k	GPE
ejpam-6261	426	1	),fw×x(k	ORG
ejpam-6261	428	1	m. h. mateen et al	PERSON
ejpam-6261	429	1	j. pure	PERSON
ejpam-6261	429	2	18	CARDINAL
ejpam-6261	429	3	4	CARDINAL
ejpam-6261	429	4	2025	CARDINAL
ejpam-6261	429	5	6261 18	DATE
ejpam-6261	429	6	23	CARDINAL
ejpam-6261	433	1	kn	PERSON
ejpam-6261	434	1	w1 ×w2×	PERSON
ejpam-6261	436	1	k1 ×k2 ×	ORG
ejpam-6261	438	1	4	CARDINAL
ejpam-6261	439	1	two	CARDINAL
ejpam-6261	441	1	5	CARDINAL
ejpam-6261	443	1	pw×x(0	GPE
ejpam-6261	443	2	0 ′	DATE
ejpam-6261	443	3	θw×x(0	PERSON
ejpam-6261	443	4	0 ′	DATE
ejpam-6261	443	5	qw×x(0	GPE
ejpam-6261	443	6	0 ′	DATE
ejpam-6261	443	7	φw×x(0	ORG
ejpam-6261	443	8	0 ′	DATE
ejpam-6261	443	9	rw×x(0	GPE
ejpam-6261	443	10	0 ′	DATE
ejpam-6261	444	1	ωw×x(0	CARDINAL
ejpam-6261	444	2	ωw×x(f	PERSON
ejpam-6261	445	1	∈	ORG
ejpam-6261	446	1	0	CARDINAL
ejpam-6261	446	2	0 ′	DATE
ejpam-6261	447	1	7	CARDINAL
ejpam-6261	448	1	two	CARDINAL
ejpam-6261	450	1	θx(g	ORG
ejpam-6261	450	2	qw(0	GPE
ejpam-6261	450	3	∈	ORG
ejpam-6261	452	1	θx(0 ′	DATE
ejpam-6261	452	2	qx(0 ′	DATE
ejpam-6261	452	3	ωx(0 ′	DATE
ejpam-6261	453	1	0	CARDINAL
ejpam-6261	453	2	0 ′	DATE
ejpam-6261	456	1	1	CARDINAL
ejpam-6261	456	2	2	CARDINAL
ejpam-6261	457	1	f ∈ k1	PRODUCT
ejpam-6261	457	2	∈	ORG
ejpam-6261	457	3	∈	ORG
ejpam-6261	459	1	θx(0 ′	DATE
ejpam-6261	459	2	qx(0 ′	DATE
ejpam-6261	459	3	ωx(0 ′	DATE
ejpam-6261	460	1	= min{pw(f	PERSON
ejpam-6261	461	1	px(0 ′	ORG
ejpam-6261	461	2	tw×x(0	ORG
ejpam-6261	461	3	0 ′	DATE
ejpam-6261	462	1	iw×x(f	ORG
ejpam-6261	462	2	qx(0 ′	DATE
ejpam-6261	462	3	eimin{φw(0),φx(0 ′	ORG
ejpam-6261	462	4	0 ′	DATE
ejpam-6261	462	5	fw×x(f	PERSON
ejpam-6261	463	1	f),ωx(g	NORP
ejpam-6261	463	2	eimax{ωw(0),ωx(0 ′	ORG
ejpam-6261	463	3	0 ′	DATE
ejpam-6261	465	1	at least one	CARDINAL
ejpam-6261	466	1	θx(g	ORG
ejpam-6261	466	2	qw(0	GPE
ejpam-6261	466	3	∈	ORG
ejpam-6261	468	1	θx(0 ′	DATE
ejpam-6261	468	2	qx(0 ′	DATE
ejpam-6261	468	3	ωx(0 ′	DATE
ejpam-6261	469	1	8	CARDINAL
ejpam-6261	470	1	θx(0 ′	DATE
ejpam-6261	470	2	qx(0 ′	DATE
ejpam-6261	471	1	ωx(0 ′	DATE
ejpam-6261	471	2	0 ′	DATE
ejpam-6261	472	1	w	GPE
ejpam-6261	473	1	m. h. mateen et al	PERSON
ejpam-6261	474	1	j. pure	PERSON
ejpam-6261	474	2	18	CARDINAL
ejpam-6261	474	3	4	CARDINAL
ejpam-6261	474	4	2025	CARDINAL
ejpam-6261	474	5	6261 19	DATE
ejpam-6261	474	6	23	CARDINAL
ejpam-6261	475	1	0 ′	DATE
ejpam-6261	475	2	0 ′	DATE
ejpam-6261	476	1	px(0 ′	PRODUCT
ejpam-6261	476	2	θx(0 ′	DATE
ejpam-6261	476	3	0	CARDINAL
ejpam-6261	476	4	∈	ORG
ejpam-6261	484	1	0 ′	DATE
ejpam-6261	484	2	0 ′	DATE
ejpam-6261	486	1	0 ′	DATE
ejpam-6261	486	2	pw×x(ϑ	ORG
ejpam-6261	486	3	0 ′	DATE
ejpam-6261	486	4	px(0 ′	ORG
ejpam-6261	486	5	min{pw(a	ORG
ejpam-6261	486	6	px(0 ′	ORG
ejpam-6261	486	7	∗ eimin{min{θx(0 ′	DATE
ejpam-6261	486	8	min{θ	NORP
ejpam-6261	489	1	px(0	ORG
ejpam-6261	493	1	0 ′	DATE
ejpam-6261	493	2	0 ′	DATE
ejpam-6261	495	1	0 ′	DATE
ejpam-6261	495	2	pw×x(ϑ	ORG
ejpam-6261	495	3	0 ′	DATE
ejpam-6261	495	4	px(0 ′	ORG
ejpam-6261	495	5	min{pw(a	ORG
ejpam-6261	495	6	px(0 ′	ORG
ejpam-6261	495	7	∗ eimin{min{θx(0 ′	DATE
ejpam-6261	495	8	min{θ	NORP
ejpam-6261	500	1	qx(0 ′	DATE
ejpam-6261	503	1	-6	DATE
ejpam-6261	503	2	0 ′	DATE
ejpam-6261	503	3	0 ′	DATE
ejpam-6261	504	1	min{qw×x(ϑ	PRODUCT
ejpam-6261	504	2	0 ′	DATE
ejpam-6261	504	3	qw×x(ϑ	ORG
ejpam-6261	504	4	0 ′	DATE
ejpam-6261	505	1	qx(0 ′	DATE
ejpam-6261	505	2	min{qw(a	ORG
ejpam-6261	505	3	px(0 ′	ORG
ejpam-6261	505	4	∗ eimin{min{θx(0 ′	DATE
ejpam-6261	505	5	min{θ	NORP
ejpam-6261	505	6	min{iw(ϑ	DATE
ejpam-6261	506	1	min{iw(ϑ	EVENT
ejpam-6261	507	1	qx(0 ′ 0 ′	DATE
ejpam-6261	511	1	0 ′	DATE
ejpam-6261	511	2	0 ′	DATE
ejpam-6261	513	1	min{qw×x(ϑ	PRODUCT
ejpam-6261	513	2	0 ′	DATE
ejpam-6261	513	3	qw×x(ϑ	ORG
ejpam-6261	513	4	0 ′	DATE
ejpam-6261	513	5	qx(0 ′	DATE
ejpam-6261	513	6	min{qw(a	ORG
ejpam-6261	513	7	px(0 ′	ORG
ejpam-6261	513	8	∗ eimin{min{θx(0 ′	DATE
ejpam-6261	513	9	min{θ	NORP
ejpam-6261	513	10	m. h. mateen et al	PERSON
ejpam-6261	514	1	j. pure	PERSON
ejpam-6261	514	2	18	CARDINAL
ejpam-6261	514	3	4	CARDINAL
ejpam-6261	514	4	2025	CARDINAL
ejpam-6261	514	5	6261 20	DATE
ejpam-6261	514	6	23	CARDINAL
ejpam-6261	515	1	min{iw(ϑ	EVENT
ejpam-6261	520	1	0 ′	DATE
ejpam-6261	520	2	0 ′	DATE
ejpam-6261	520	3	0 ′	DATE
ejpam-6261	520	4	rw×x(a	PERSON
ejpam-6261	520	5	0 ′	DATE
ejpam-6261	522	1	max{rw(a	ORG
ejpam-6261	522	2	∗ eimax{max{ωx(0 ′	DATE
ejpam-6261	527	1	0 ′	DATE
ejpam-6261	528	1	0 ′	DATE
ejpam-6261	528	2	0 ′	DATE
ejpam-6261	528	3	rw×x(a	PERSON
ejpam-6261	528	4	0 ′	DATE
ejpam-6261	530	1	max{rw(a	ORG
ejpam-6261	530	2	∗ eimax{max{ωx(0 ′	DATE
ejpam-6261	533	1	9	CARDINAL
ejpam-6261	534	1	two	CARDINAL
ejpam-6261	534	2	qw(0	GPE
ejpam-6261	535	1	w×x	PERSON
ejpam-6261	537	1	4.6	CARDINAL
ejpam-6261	538	1	2	CARDINAL
ejpam-6261	539	1	two	CARDINAL
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ejpam-6261	553	1	2	CARDINAL
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ejpam-6261	575	2	1–6	CARDINAL
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ejpam-6261	576	1	10	CARDINAL
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ejpam-6261	581	1	12	CARDINAL
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