id	sid	eid	entity	type
ejpam-6590	1	1	european journal	ORG
ejpam-6590	1	2	2025	DATE
ejpam-6590	1	3	18	CARDINAL
ejpam-6590	1	4	3	CARDINAL
ejpam-6590	1	5	6590	CARDINAL
ejpam-6590	1	6	1307-5543	DATE
ejpam-6590	1	7	new york	GPE
ejpam-6590	1	8	mona sakkijha1	PERSON
ejpam-6590	1	9	maryam	GPE
ejpam-6590	1	10	alholi3 1	PERSON
ejpam-6590	1	11	the university of jordan	ORG
ejpam-6590	1	12	11942	DATE
ejpam-6590	1	13	jordan 2	ORG
ejpam-6590	1	14	ajloun college	ORG
ejpam-6590	1	15	al-balqa applied university	ORG
ejpam-6590	1	16	26816	DATE
ejpam-6590	1	17	jordan 3	ORG
ejpam-6590	1	18	al ula	PERSON
ejpam-6590	1	19	saudi arabia	GPE
ejpam-6590	2	1	2	CARDINAL
ejpam-6590	3	1	2020	DATE
ejpam-6590	3	2	15a45	CARDINAL
ejpam-6590	3	3	47b44	CARDINAL
ejpam-6590	3	4	47a30	CARDINAL
ejpam-6590	3	5	47a63	CARDINAL
ejpam-6590	3	6	cartesian	NORP
ejpam-6590	3	7	1	CARDINAL
ejpam-6590	3	8	the last few decades	DATE
ejpam-6590	9	1	bhatia	PERSON
ejpam-6590	9	2	2007	DATE
ejpam-6590	10	1	1	CARDINAL
ejpam-6590	11	1	2005	DATE
ejpam-6590	12	1	2	CARDINAL
ejpam-6590	13	1	2015	DATE
ejpam-6590	13	2	abu-omar	PERSON
ejpam-6590	13	3	two	CARDINAL
ejpam-6590	13	4	two	CARDINAL
ejpam-6590	13	5	4	CARDINAL
ejpam-6590	14	1	2025	DATE
ejpam-6590	14	2	hasan	PERSON
ejpam-6590	14	3	5	CARDINAL
ejpam-6590	16	1	m.sakkijha@ju.edu.jo	PERSON
ejpam-6590	16	2	m. sakkijha	PERSON
ejpam-6590	16	3	s. hasan	PERSON
ejpam-6590	16	4	mholi@taibahu.edu.sa	ORG
ejpam-6590	16	5	m. alholi	PERSON
ejpam-6590	17	1	1	CARDINAL
ejpam-6590	17	2	2025	CARDINAL
ejpam-6590	18	1	m. sakkijha	PERSON
ejpam-6590	18	2	s. hasan	PERSON
ejpam-6590	18	3	m. alholi	PERSON
ejpam-6590	19	1	j. pure	PERSON
ejpam-6590	19	2	18	CARDINAL
ejpam-6590	19	3	3	CARDINAL
ejpam-6590	19	4	2025	CARDINAL
ejpam-6590	19	5	6590 2	DATE
ejpam-6590	19	6	9	CARDINAL
ejpam-6590	19	7	r(x	PERSON
ejpam-6590	19	8	r(x	WORK_OF_ART
ejpam-6590	22	1	1	CARDINAL
ejpam-6590	22	2	r(x	PERSON
ejpam-6590	22	3	2	CARDINAL
ejpam-6590	22	4	r(x	WORK_OF_ART
ejpam-6590	23	1	3	CARDINAL
ejpam-6590	24	1	4	CARDINAL
ejpam-6590	25	1	5	CARDINAL
ejpam-6590	26	1	6	CARDINAL
ejpam-6590	26	2	two	CARDINAL
ejpam-6590	27	1	r(x	WORK_OF_ART
ejpam-6590	27	2	7	CARDINAL
ejpam-6590	27	3	r(x	WORK_OF_ART
ejpam-6590	27	4	r(xυ	ORG
ejpam-6590	28	1	9	CARDINAL
ejpam-6590	29	1	∈	PRODUCT
ejpam-6590	30	1	ν	NORP
ejpam-6590	32	1	acc-dis	ORG
ejpam-6590	32	2	cartesian	NORP
ejpam-6590	34	1	2	CARDINAL
ejpam-6590	35	1	2i	CARDINAL
ejpam-6590	37	1	6	CARDINAL
ejpam-6590	38	1	george	PERSON
ejpam-6590	38	2	2005)[7	CARDINAL
ejpam-6590	38	3	hasan	PERSON
ejpam-6590	39	1	m. sakkijha	PERSON
ejpam-6590	39	2	s. hasan	PERSON
ejpam-6590	39	3	m. alholi	PERSON
ejpam-6590	40	1	j. pure	PERSON
ejpam-6590	40	2	18	CARDINAL
ejpam-6590	40	3	3	CARDINAL
ejpam-6590	40	4	2025	CARDINAL
ejpam-6590	40	5	6590 3	DATE
ejpam-6590	42	1	1	CARDINAL
ejpam-6590	43	1	9	CARDINAL
ejpam-6590	43	2	∥ψ1	LOC
ejpam-6590	43	3	iψ2∥	GPE
ejpam-6590	43	4	2	CARDINAL
ejpam-6590	44	1	10	CARDINAL
ejpam-6590	45	1	∥ψ2∥	ORG
ejpam-6590	46	1	1	CARDINAL
ejpam-6590	47	1	3	CARDINAL
ejpam-6590	48	1	11	CARDINAL
ejpam-6590	48	2	1 2	CARDINAL
ejpam-6590	48	3	4	CARDINAL
ejpam-6590	49	1	12	CARDINAL
ejpam-6590	50	1	∥ψ2∥ ∥ψ3∥ ∥ψ4∥	PERSON
ejpam-6590	51	1	5	CARDINAL
ejpam-6590	52	1	13	CARDINAL
ejpam-6590	52	2	∥ψ2∥	ORG
ejpam-6590	53	1	6	CARDINAL
ejpam-6590	54	1	14	CARDINAL
ejpam-6590	54	2	1	CARDINAL
ejpam-6590	54	3	1/2	CARDINAL
ejpam-6590	55	1	7	CARDINAL
ejpam-6590	56	1	10	CARDINAL
ejpam-6590	56	2	ψ2∥	DATE
ejpam-6590	56	3	∥ψ2∥	ORG
ejpam-6590	57	1	3	CARDINAL
ejpam-6590	57	2	2×2	CARDINAL
ejpam-6590	58	1	1	CARDINAL
ejpam-6590	59	1	φ ∈	PERSON
ejpam-6590	59	2	acc-dis	ORG
ejpam-6590	60	1	+ iϕ2	DATE
ejpam-6590	61	1	0	CARDINAL
ejpam-6590	61	2	√ max	PERSON
ejpam-6590	61	3	r2(ψ1	NORP
ejpam-6590	62	1	+ 2r(ψ1)r(ψ2	PERSON
ejpam-6590	62	2	m. sakkijha	PERSON
ejpam-6590	62	3	s. hasan	PERSON
ejpam-6590	62	4	m. alholi	PERSON
ejpam-6590	63	1	j. pure	PERSON
ejpam-6590	63	2	18	CARDINAL
ejpam-6590	63	3	3	CARDINAL
ejpam-6590	63	4	2025	CARDINAL
ejpam-6590	63	5	6590 4	DATE
ejpam-6590	63	6	9	CARDINAL
ejpam-6590	64	1	r2	PERSON
ejpam-6590	64	2	0	CARDINAL
ejpam-6590	65	1	0	CARDINAL
ejpam-6590	65	2	2	CARDINAL
ejpam-6590	66	1	0	CARDINAL
ejpam-6590	67	1	0	CARDINAL
ejpam-6590	67	2	0	CARDINAL
ejpam-6590	68	1	0	CARDINAL
ejpam-6590	68	2	0	CARDINAL
ejpam-6590	69	1	0	CARDINAL
ejpam-6590	69	2	lemma 4	ORG
ejpam-6590	69	3	1	CARDINAL
ejpam-6590	69	4	2 ) +	DATE
ejpam-6590	69	5	1	CARDINAL
ejpam-6590	69	6	2 ) +	DATE
ejpam-6590	69	7	1	CARDINAL
ejpam-6590	69	8	2	CARDINAL
ejpam-6590	69	9	1	CARDINAL
ejpam-6590	69	10	2	CARDINAL
ejpam-6590	69	11	∥ψ2ψ1∥ ⩽ max	PERSON
ejpam-6590	69	12	1	CARDINAL
ejpam-6590	69	13	2	CARDINAL
ejpam-6590	69	14	∥ψ2ψ1∥	TIME
ejpam-6590	69	15	lemma 7	ORG
ejpam-6590	69	16	max	PERSON
ejpam-6590	69	17	r2(ψ1	NORP
ejpam-6590	69	18	2(ψ2	TIME
ejpam-6590	70	1	6	CARDINAL
ejpam-6590	70	2	9	CARDINAL
ejpam-6590	72	1	2	CARDINAL
ejpam-6590	73	1	φ	PERSON
ejpam-6590	73	2	acc-dis	ORG
ejpam-6590	73	3	+ iϕ2	DATE
ejpam-6590	74	1	0	CARDINAL
ejpam-6590	74	2	√ max	PERSON
ejpam-6590	74	3	r2(ψ1	NORP
ejpam-6590	75	1	r2(ϕ1	ORG
ejpam-6590	78	1	0	CARDINAL
ejpam-6590	79	1	0	CARDINAL
ejpam-6590	79	2	3	CARDINAL
ejpam-6590	79	3	m. sakkijha	PERSON
ejpam-6590	79	4	s. hasan	PERSON
ejpam-6590	79	5	m. alholi	PERSON
ejpam-6590	80	1	j. pure	PERSON
ejpam-6590	80	2	18	CARDINAL
ejpam-6590	80	3	3	CARDINAL
ejpam-6590	80	4	2025	CARDINAL
ejpam-6590	80	5	6590 5	DATE
ejpam-6590	80	6	9	CARDINAL
ejpam-6590	80	7	ψ∗	GPE
ejpam-6590	81	1	0	CARDINAL
ejpam-6590	82	1	4	CARDINAL
ejpam-6590	84	1	1	CARDINAL
ejpam-6590	85	1	2	CARDINAL
ejpam-6590	87	1	1 +	CARDINAL
ejpam-6590	87	2	2	CARDINAL
ejpam-6590	88	1	1/2	CARDINAL
ejpam-6590	88	2	⩽(max(∥ψ2 1∥	ORG
ejpam-6590	88	3	2∥	CARDINAL
ejpam-6590	88	4	1 2	CARDINAL
ejpam-6590	88	5	lemma 2	ORG
ejpam-6590	88	6	3	CARDINAL
ejpam-6590	88	7	2∥	CARDINAL
ejpam-6590	90	1	1 2	CARDINAL
ejpam-6590	90	2	r2(ψ1	NORP
ejpam-6590	91	1	r2(ϕ1	ORG
ejpam-6590	92	1	1	CARDINAL
ejpam-6590	92	2	2	CARDINAL
ejpam-6590	92	3	0	CARDINAL
ejpam-6590	94	1	1	CARDINAL
ejpam-6590	95	1	φ ∈	PERSON
ejpam-6590	95	2	acc-dis	ORG
ejpam-6590	96	1	+ iϕ2	DATE
ejpam-6590	101	1	0	CARDINAL
ejpam-6590	102	1	0	CARDINAL
ejpam-6590	103	1	2	CARDINAL
ejpam-6590	104	1	φ	PERSON
ejpam-6590	104	2	acc-dis	ORG
ejpam-6590	105	1	φ = ϕ1+iϕ2.	PERSON
ejpam-6590	106	1	0	CARDINAL
ejpam-6590	108	1	m. sakkijha	PERSON
ejpam-6590	108	2	s. hasan	PERSON
ejpam-6590	108	3	m. alholi	PERSON
ejpam-6590	109	1	j. pure	PERSON
ejpam-6590	109	2	18	CARDINAL
ejpam-6590	109	3	3	CARDINAL
ejpam-6590	109	4	2025	CARDINAL
ejpam-6590	109	5	6590 6	DATE
ejpam-6590	110	1	0	CARDINAL
ejpam-6590	111	1	0	CARDINAL
ejpam-6590	112	1	0	CARDINAL
ejpam-6590	113	1	3	CARDINAL
ejpam-6590	114	1	φ	ORG
ejpam-6590	114	2	acc-dis	ORG
ejpam-6590	119	1	7	CARDINAL
ejpam-6590	119	2	1	CARDINAL
ejpam-6590	119	3	∥∥∥(ψ∗)2	ORG
ejpam-6590	123	1	3	CARDINAL
ejpam-6590	124	1	φ	PERSON
ejpam-6590	124	2	acc-dis	ORG
ejpam-6590	124	3	+ iϕ2	DATE
ejpam-6590	125	1	φ φ	PERSON
ejpam-6590	127	1	φ φ	PERSON
ejpam-6590	128	1	φ φ	PERSON
ejpam-6590	129	1	m. sakkijha	PERSON
ejpam-6590	129	2	s. hasan	PERSON
ejpam-6590	129	3	m. alholi	PERSON
ejpam-6590	130	1	j. pure	PERSON
ejpam-6590	130	2	18	CARDINAL
ejpam-6590	130	3	3	CARDINAL
ejpam-6590	130	4	2025	CARDINAL
ejpam-6590	130	5	6590 7 of 9	DATE
ejpam-6590	130	6	φ φ	PERSON
ejpam-6590	130	7	1 2	CARDINAL
ejpam-6590	132	1	φ φ	PERSON
ejpam-6590	133	1	1 2	CARDINAL
ejpam-6590	133	2	0	CARDINAL
ejpam-6590	133	3	0 2(ψ− φ	LAW
ejpam-6590	134	1	ψ+φ	GPE
ejpam-6590	134	2	5	CARDINAL
ejpam-6590	134	3	ψ+φ	GPE
ejpam-6590	134	4	3	CARDINAL
ejpam-6590	136	1	max	PERSON
ejpam-6590	138	1	5	CARDINAL
ejpam-6590	142	1	4	CARDINAL
ejpam-6590	143	1	acc-dis	ORG
ejpam-6590	149	1	m. sakkijha	PERSON
ejpam-6590	149	2	s. hasan	PERSON
ejpam-6590	149	3	m. alholi	PERSON
ejpam-6590	150	1	j. pure	PERSON
ejpam-6590	150	2	18	CARDINAL
ejpam-6590	150	3	3	CARDINAL
ejpam-6590	150	4	2025	CARDINAL
ejpam-6590	150	5	6590 8	DATE
ejpam-6590	150	6	1 2	CARDINAL
ejpam-6590	152	1	1 2	CARDINAL
ejpam-6590	153	1	2r	CARDINAL
ejpam-6590	153	2	2	CARDINAL
ejpam-6590	154	1	2∥ψ∥	CARDINAL
ejpam-6590	155	1	2∥ψ1	CARDINAL
ejpam-6590	155	2	iψ2∥	GPE
ejpam-6590	155	3	2∥ψ1 + ψ2∥	PERCENT
ejpam-6590	155	4	1	CARDINAL
ejpam-6590	156	1	3	CARDINAL
ejpam-6590	157	1	4	CARDINAL
ejpam-6590	158	1	1	CARDINAL
ejpam-6590	161	1	1 1 1 1	QUANTITY
ejpam-6590	162	1	1	CARDINAL
ejpam-6590	162	2	1 + i	DATE
ejpam-6590	165	1	1 2	CARDINAL
ejpam-6590	167	1	2∥ψ∥	CARDINAL
ejpam-6590	167	2	2r(ψ	CARDINAL
ejpam-6590	168	1	r(ψ	ORG
ejpam-6590	168	2	det(λi	PERSON
ejpam-6590	170	1	λ−	DATE
ejpam-6590	172	1	λ−	ORG
ejpam-6590	172	2	1 +	CARDINAL
ejpam-6590	172	3	1	CARDINAL
ejpam-6590	172	4	0	CARDINAL
ejpam-6590	173	1	1 +	CARDINAL
ejpam-6590	173	2	1 ⇒	CARDINAL
ejpam-6590	173	3	2 +	DATE
ejpam-6590	174	1	r(ψ	ORG
ejpam-6590	175	1	max	PERSON
ejpam-6590	177	1	√ 5	DATE
ejpam-6590	178	1	2	CARDINAL
ejpam-6590	178	2	1	CARDINAL
ejpam-6590	178	3	3	CARDINAL
ejpam-6590	178	4	r(ψ1 +	GPE
ejpam-6590	178	5	3	CARDINAL
ejpam-6590	178	6	2	CARDINAL
ejpam-6590	178	7	2r(ψ	CARDINAL
ejpam-6590	179	1	6	CARDINAL
ejpam-6590	179	2	4	CARDINAL
ejpam-6590	179	3	4	CARDINAL
ejpam-6590	179	4	2	CARDINAL
ejpam-6590	180	1	m. sakkijha	PERSON
ejpam-6590	180	2	s. hasan	PERSON
ejpam-6590	180	3	m. alholi	PERSON
ejpam-6590	181	1	j. pure	PERSON
ejpam-6590	181	2	18	CARDINAL
ejpam-6590	181	3	3	CARDINAL
ejpam-6590	181	4	2025	CARDINAL
ejpam-6590	181	5	6590 9	DATE
ejpam-6590	182	1	1	CARDINAL
ejpam-6590	182	2	r. bhatia	PERSON
ejpam-6590	184	1	princeton university press	ORG
ejpam-6590	184	2	princeton	GPE
ejpam-6590	184	3	oxford	GPE
ejpam-6590	184	4	2007	DATE
ejpam-6590	185	1	2	CARDINAL
ejpam-6590	185	2	f. kittaneh	PERSON
ejpam-6590	187	1	american	NORP
ejpam-6590	187	2	385–390, 2006	DATE
ejpam-6590	188	1	3	CARDINAL
ejpam-6590	188	2	m. el-haddad	PERSON
ejpam-6590	188	3	f. kittaneh	PERSON
ejpam-6590	191	1	studia mathematica	PERSON
ejpam-6590	191	2	182:133–140,	DATE
ejpam-6590	191	3	2007	DATE
ejpam-6590	192	1	4	CARDINAL
ejpam-6590	192	2	a. abu-omar	PERSON
ejpam-6590	192	3	f. kittaneh	PERSON
ejpam-6590	194	1	studia mathematica	PERSON
ejpam-6590	194	2	227:97–109,	PERCENT
ejpam-6590	194	3	2015	DATE
ejpam-6590	195	1	5	CARDINAL
ejpam-6590	195	2	m. sakkijha	PERSON
ejpam-6590	195	3	s. hasan	PERSON
ejpam-6590	197	1	neutrosophic science	ORG
ejpam-6590	197	2	ijns	NORP
ejpam-6590	197	3	25(3	CARDINAL
ejpam-6590	197	4	2025	DATE
ejpam-6590	198	1	6	CARDINAL
ejpam-6590	198	2	m. d. gunzburger	PERSON
ejpam-6590	198	3	r. j. plemmons	PERSON
ejpam-6590	200	1	33(145):1–10, 1979	DATE
ejpam-6590	201	1	7	CARDINAL
ejpam-6590	201	2	a. george	PERSON
ejpam-6590	201	3	k. d. ikramov	PERSON
ejpam-6590	203	1	77:767–776, 2005	DATE
ejpam-6590	204	1	8	CARDINAL
ejpam-6590	204	2	m. sakkijha	PERSON
ejpam-6590	204	3	s. hasan	PERSON
ejpam-6590	206	1	19(1):111–116	CARDINAL
ejpam-6590	206	2	2024	DATE
ejpam-6590	207	1	9	CARDINAL
ejpam-6590	207	2	r. bhatia	PERSON
ejpam-6590	207	3	f. kittaneh	PERSON
ejpam-6590	208	1	linear	ORG
ejpam-6590	208	2	431(9):1502–1508, 2009	DATE
ejpam-6590	209	1	10	CARDINAL
ejpam-6590	209	2	f. kittaneh	PERSON
ejpam-6590	211	1	383:85–91, 2004	DATE
ejpam-6590	212	1	11	CARDINAL
ejpam-6590	212	2	f. kittaneh	PERSON
ejpam-6590	214	1	250(1):132–143, 2007	DATE
ejpam-6590	215	1	12	CARDINAL
ejpam-6590	215	2	j. c. hou	PERSON
ejpam-6590	215	3	h. k. du	PERSON
ejpam-6590	217	1	22:281–294, 1995	DATE
ejpam-6590	218	1	13	CARDINAL
ejpam-6590	218	2	r. a. horn	PERSON
ejpam-6590	218	3	c. r. johnson	PERSON
ejpam-6590	220	1	cambridge university press	ORG
ejpam-6590	220	2	1994	DATE
ejpam-6590	221	1	14	CARDINAL
ejpam-6590	223	1	1(1	CARDINAL
ejpam-6590	223	2	1989	DATE