id	sid	eid	entity	type
ejpam-5689	1	1	european journal	ORG
ejpam-5689	1	2	2025	DATE
ejpam-5689	1	3	18	CARDINAL
ejpam-5689	1	4	1	CARDINAL
ejpam-5689	1	5	5689	DATE
ejpam-5689	1	6	1307-5543	DATE
ejpam-5689	1	7	new york	GPE
ejpam-5689	1	8	ahmad al-natoor1,∗	PERSON
ejpam-5689	2	1	isra university	ORG
ejpam-5689	2	2	amman	GPE
ejpam-5689	2	3	jordan 2	ORG
ejpam-5689	2	4	al-ahliyya amman university	ORG
ejpam-5689	2	5	amman	GPE
ejpam-5689	2	6	jordan	GPE
ejpam-5689	5	1	2020	DATE
ejpam-5689	5	2	15a42	DATE
ejpam-5689	5	3	47a30	CARDINAL
ejpam-5689	5	4	93c05	CARDINAL
ejpam-5689	5	5	1	CARDINAL
ejpam-5689	6	1	n × n	ORG
ejpam-5689	10	1	sn	ORG
ejpam-5689	10	2	j = 1	PERSON
ejpam-5689	10	3	2	DATE
ejpam-5689	10	4	⊕	PERSON
ejpam-5689	12	1	max	PERSON
ejpam-5689	13	1	14	CARDINAL
ejpam-5689	15	1	⊕	GPE
ejpam-5689	15	2	1	CARDINAL
ejpam-5689	15	3	1	CARDINAL
ejpam-5689	15	4	8	CARDINAL
ejpam-5689	15	5	⊕ y	PERSON
ejpam-5689	16	1	2	CARDINAL
ejpam-5689	17	1	one	CARDINAL
ejpam-5689	20	1	ahmad.alnatoor@iu.edu.jo	PERSON
ejpam-5689	20	2	a. al-natoor	PERSON
ejpam-5689	20	3	f. alrimawi	PERSON
ejpam-5689	21	1	1	CARDINAL
ejpam-5689	21	2	2025	CARDINAL
ejpam-5689	22	1	a. al-natoor	PERSON
ejpam-5689	22	2	f. alrimawi	PERSON
ejpam-5689	23	1	j. pure	PERSON
ejpam-5689	23	2	18	CARDINAL
ejpam-5689	23	3	1	CARDINAL
ejpam-5689	23	4	2025	CARDINAL
ejpam-5689	23	5	5689 2	DATE
ejpam-5689	23	6	11	CARDINAL
ejpam-5689	23	7	1 ≤	QUANTITY
ejpam-5689	25	1	+ 1 2	QUANTITY
ejpam-5689	27	1	3	CARDINAL
ejpam-5689	27	2	1	CARDINAL
ejpam-5689	27	3	2	CARDINAL
ejpam-5689	27	4	12	CARDINAL
ejpam-5689	30	1	2	CARDINAL
ejpam-5689	30	2	3	CARDINAL
ejpam-5689	31	1	4	CARDINAL
ejpam-5689	31	2	3	CARDINAL
ejpam-5689	31	3	5	CARDINAL
ejpam-5689	31	4	10	CARDINAL
ejpam-5689	31	5	11	CARDINAL
ejpam-5689	32	1	2	CARDINAL
ejpam-5689	33	1	first	ORDINAL
ejpam-5689	33	2	13	CARDINAL
ejpam-5689	33	3	5	CARDINAL
ejpam-5689	33	4	second	ORDINAL
ejpam-5689	33	5	third	ORDINAL
ejpam-5689	33	6	13	CARDINAL
ejpam-5689	33	7	75	CARDINAL
ejpam-5689	34	1	1	CARDINAL
ejpam-5689	38	1	2	CARDINAL
ejpam-5689	40	1	+ 1 2 ∥x + y ∥	TIME
ejpam-5689	41	1	3	CARDINAL
ejpam-5689	45	1	1	CARDINAL
ejpam-5689	49	1	1 2	CARDINAL
ejpam-5689	49	2	4	CARDINAL
ejpam-5689	49	3	f(0	PERSON
ejpam-5689	49	4	a. al-natoor	PERSON
ejpam-5689	49	5	f. alrimawi	PERSON
ejpam-5689	50	1	j. pure	PERSON
ejpam-5689	50	2	18	CARDINAL
ejpam-5689	50	3	1	CARDINAL
ejpam-5689	50	4	2025	CARDINAL
ejpam-5689	50	5	5689 3	DATE
ejpam-5689	52	1	2	CARDINAL
ejpam-5689	53	1	5	CARDINAL
ejpam-5689	56	1	lemma 1	ORG
ejpam-5689	56	2	xay ⊕	GPE
ejpam-5689	56	3	y bx	PERSON
ejpam-5689	57	1	+ 1 2	DATE
ejpam-5689	57	2	6	CARDINAL
ejpam-5689	57	3	lemma 2	ORG
ejpam-5689	57	4	xay ⊕	GPE
ejpam-5689	57	5	y bx)∗	PERSON
ejpam-5689	58	1	1 2	DATE
ejpam-5689	58	2	f(0	PERSON
ejpam-5689	58	3	xay ⊕	GPE
ejpam-5689	58	4	y bx)∗	PERSON
ejpam-5689	59	1	1 2	CARDINAL
ejpam-5689	61	1	0	CARDINAL
ejpam-5689	62	1	1 2	CARDINAL
ejpam-5689	62	2	0	CARDINAL
ejpam-5689	64	1	1 2	CARDINAL
ejpam-5689	64	2	3	CARDINAL
ejpam-5689	66	1	1 2	CARDINAL
ejpam-5689	68	1	1 2	CARDINAL
ejpam-5689	68	2	f(∥x∥)f(∥y	DATE
ejpam-5689	68	3	∥)sj(f	PERSON
ejpam-5689	69	1	1 2	CARDINAL
ejpam-5689	70	1	6	CARDINAL
ejpam-5689	71	1	a. al-natoor	PERSON
ejpam-5689	71	2	f. alrimawi	PERSON
ejpam-5689	72	1	j. pure	PERSON
ejpam-5689	72	2	18	CARDINAL
ejpam-5689	72	3	1	CARDINAL
ejpam-5689	72	4	2025	CARDINAL
ejpam-5689	72	5	5689 4	DATE
ejpam-5689	72	6	xay ⊕	GPE
ejpam-5689	72	7	y bx	PERSON
ejpam-5689	73	1	+ 1 2	DATE
ejpam-5689	73	2	2sj	ORDINAL
ejpam-5689	73	3	xay ⊕	GPE
ejpam-5689	73	4	y bx)∗	PERSON
ejpam-5689	74	1	1 2	CARDINAL
ejpam-5689	74	2	2sj	ORDINAL
ejpam-5689	74	3	xay ⊕	GPE
ejpam-5689	74	4	y bx)∗	PERSON
ejpam-5689	75	1	1 2	CARDINAL
ejpam-5689	75	2	2sj	ORDINAL
ejpam-5689	75	3	0	CARDINAL
ejpam-5689	76	1	2	CARDINAL
ejpam-5689	76	2	0	CARDINAL
ejpam-5689	77	1	3	CARDINAL
ejpam-5689	77	2	1 2	CARDINAL
ejpam-5689	77	3	2 ∥x∥ ∥y ∥ sj	CARDINAL
ejpam-5689	78	1	2	CARDINAL
ejpam-5689	79	1	2	CARDINAL
ejpam-5689	82	1	0,∞	DATE
ejpam-5689	82	2	4	CARDINAL
ejpam-5689	82	3	5	CARDINAL
ejpam-5689	84	1	+ 1 2	DATE
ejpam-5689	89	1	9	CARDINAL
ejpam-5689	89	2	9	CARDINAL
ejpam-5689	90	1	+ 1 2	DATE
ejpam-5689	91	1	10	CARDINAL
ejpam-5689	91	2	2	CARDINAL
ejpam-5689	91	3	10	CARDINAL
ejpam-5689	91	4	2 ∥z∥	PERCENT
ejpam-5689	91	5	⊕ y	PERSON
ejpam-5689	92	1	+ 1 2	DATE
ejpam-5689	92	2	a. al-natoor	PERSON
ejpam-5689	92	3	f. alrimawi	PERSON
ejpam-5689	93	1	j. pure	PERSON
ejpam-5689	93	2	18	CARDINAL
ejpam-5689	93	3	1	CARDINAL
ejpam-5689	93	4	2025	CARDINAL
ejpam-5689	93	5	5689 5	DATE
ejpam-5689	93	6	11	CARDINAL
ejpam-5689	93	7	2	CARDINAL
ejpam-5689	94	1	8)	CARDINAL
ejpam-5689	94	2	3	CARDINAL
ejpam-5689	97	1	11	CARDINAL
ejpam-5689	97	2	3	CARDINAL
ejpam-5689	99	1	11	CARDINAL
ejpam-5689	102	1	+ 1 2	QUANTITY
ejpam-5689	103	1	3	CARDINAL
ejpam-5689	104	1	6	CARDINAL
ejpam-5689	104	2	second	ORDINAL
ejpam-5689	105	1	4	CARDINAL
ejpam-5689	108	1	2	CARDINAL
ejpam-5689	110	1	1 2	CARDINAL
ejpam-5689	111	1	+ |y	PERSON
ejpam-5689	111	2	⊕	GPE
ejpam-5689	111	3	∥y ∥2	EVENT
ejpam-5689	113	1	1 2	CARDINAL
ejpam-5689	113	2	12	CARDINAL
ejpam-5689	113	3	f(0	PERSON
ejpam-5689	114	1	0	CARDINAL
ejpam-5689	116	1	+ |y	PERSON
ejpam-5689	116	2	⊕	GPE
ejpam-5689	116	3	∥y ∥2	EVENT
ejpam-5689	118	1	13	CARDINAL
ejpam-5689	119	1	a. al-natoor	PERSON
ejpam-5689	119	2	f. alrimawi	PERSON
ejpam-5689	120	1	j. pure	PERSON
ejpam-5689	120	2	18	CARDINAL
ejpam-5689	120	3	1	CARDINAL
ejpam-5689	120	4	2025	CARDINAL
ejpam-5689	120	5	5689 6	DATE
ejpam-5689	120	6	11	CARDINAL
ejpam-5689	121	1	7	CARDINAL
ejpam-5689	123	1	0	CARDINAL
ejpam-5689	124	1	1 2	CARDINAL
ejpam-5689	125	1	1 2	QUANTITY
ejpam-5689	125	2	y y	PERSON
ejpam-5689	125	3	∗	CARDINAL
ejpam-5689	128	1	1 2	CARDINAL
ejpam-5689	128	2	lemma 4	ORG
ejpam-5689	129	1	1 2	CARDINAL
ejpam-5689	129	2	+ |y	PERSON
ejpam-5689	129	3	⊕	GPE
ejpam-5689	130	1	1 2	CARDINAL
ejpam-5689	131	1	1 2	CARDINAL
ejpam-5689	131	2	+ |y	PERSON
ejpam-5689	131	3	⊕	GPE
ejpam-5689	133	1	1 2	CARDINAL
ejpam-5689	134	1	1 2	CARDINAL
ejpam-5689	135	1	+ |y	PERSON
ejpam-5689	135	2	⊕	GPE
ejpam-5689	135	3	∥y ∥2	EVENT
ejpam-5689	137	1	1 2	CARDINAL
ejpam-5689	138	1	6	CARDINAL
ejpam-5689	139	1	xay ⊕	GPE
ejpam-5689	139	2	y bx	PERSON
ejpam-5689	139	3	+ 1 2	DATE
ejpam-5689	140	1	xay ⊕	GPE
ejpam-5689	140	2	y bx)∗	PERSON
ejpam-5689	141	1	+ 1 2	DATE
ejpam-5689	141	2	a. al-natoor	PERSON
ejpam-5689	141	3	f. alrimawi	PERSON
ejpam-5689	142	1	j. pure	PERSON
ejpam-5689	142	2	18	CARDINAL
ejpam-5689	142	3	1	CARDINAL
ejpam-5689	142	4	2025	CARDINAL
ejpam-5689	142	5	5689 7	DATE
ejpam-5689	142	6	2sj	ORDINAL
ejpam-5689	144	1	0	CARDINAL
ejpam-5689	145	1	y y	PERSON
ejpam-5689	145	2	∗	CARDINAL
ejpam-5689	146	1		PRODUCT
ejpam-5689	147	1	lemma 4	ORG
ejpam-5689	147	2	1 2	CARDINAL
ejpam-5689	147	3	+ |y	PERSON
ejpam-5689	147	4	⊕	GPE
ejpam-5689	148	1	+ |y	PERSON
ejpam-5689	148	2	⊕	GPE
ejpam-5689	150	1	1 2	CARDINAL
ejpam-5689	150	2	+ |y	PERSON
ejpam-5689	150	3	⊕	GPE
ejpam-5689	150	4	∥y ∥2	EVENT
ejpam-5689	154	1	0,∞	DATE
ejpam-5689	154	2	12	CARDINAL
ejpam-5689	154	3	13	CARDINAL
ejpam-5689	155	1	≤ 1 2	CARDINAL
ejpam-5689	155	2	+ |y	PERSON
ejpam-5689	155	3	⊕	GPE
ejpam-5689	155	4	+ 1 2	DATE
ejpam-5689	157	1	9	CARDINAL
ejpam-5689	158	1	5	CARDINAL
ejpam-5689	161	1	a. al-natoor	PERSON
ejpam-5689	161	2	f. alrimawi	PERSON
ejpam-5689	162	1	j. pure	PERSON
ejpam-5689	162	2	18	CARDINAL
ejpam-5689	162	3	1	CARDINAL
ejpam-5689	162	4	2025	CARDINAL
ejpam-5689	162	5	5689 8	DATE
ejpam-5689	162	6	11	CARDINAL
ejpam-5689	162	7	3	CARDINAL
ejpam-5689	165	1	1 2	CARDINAL
ejpam-5689	165	2	max	PERSON
ejpam-5689	166	1	1 2	CARDINAL
ejpam-5689	166	2	14	CARDINAL
ejpam-5689	166	3	f(0	PERSON
ejpam-5689	167	1	0	CARDINAL
ejpam-5689	169	1	max	PERSON
ejpam-5689	171	1	15	CARDINAL
ejpam-5689	173	1	7	CARDINAL
ejpam-5689	176	1	0	CARDINAL
ejpam-5689	177	1	1 2	CARDINAL
ejpam-5689	181	1	0	CARDINAL
ejpam-5689	182	1	1 2	CARDINAL
ejpam-5689	182	2	5	CARDINAL
ejpam-5689	184	1	1 2	CARDINAL
ejpam-5689	187	1	a. al-natoor	PERSON
ejpam-5689	187	2	f. alrimawi	PERSON
ejpam-5689	188	1	j. pure	PERSON
ejpam-5689	188	2	18	CARDINAL
ejpam-5689	188	3	1	CARDINAL
ejpam-5689	188	4	2025	CARDINAL
ejpam-5689	188	5	5689 9	DATE
ejpam-5689	189	1	1 2	CARDINAL
ejpam-5689	190	1	1 2	CARDINAL
ejpam-5689	190	2	f(b	GPE
ejpam-5689	192	1	1 2	CARDINAL
ejpam-5689	193	1	1 2	CARDINAL
ejpam-5689	193	2	max	PERSON
ejpam-5689	195	1	1 2	CARDINAL
ejpam-5689	196	1	6	CARDINAL
ejpam-5689	197	1	xay ⊕	GPE
ejpam-5689	197	2	y bx	PERSON
ejpam-5689	197	3	+ 1 2	DATE
ejpam-5689	198	1	xay ⊕	GPE
ejpam-5689	198	2	y bx)∗	PERSON
ejpam-5689	199	1	+ 1 2	DATE
ejpam-5689	199	2	2sj	ORDINAL
ejpam-5689	201	1	0	CARDINAL
ejpam-5689	202	1	0	CARDINAL
ejpam-5689	204	1	0	CARDINAL
ejpam-5689	205	1	+ 1 2	QUANTITY
ejpam-5689	205	2	5	CARDINAL
ejpam-5689	208	1	1 2	CARDINAL
ejpam-5689	208	2	0	CARDINAL
ejpam-5689	208	3	f(b	GPE
ejpam-5689	209	1	1 2 max	QUANTITY
ejpam-5689	210	1	a. al-natoor	PERSON
ejpam-5689	210	2	f. alrimawi	PERSON
ejpam-5689	211	1	j. pure	PERSON
ejpam-5689	211	2	18	CARDINAL
ejpam-5689	211	3	1	CARDINAL
ejpam-5689	211	4	2025	CARDINAL
ejpam-5689	211	5	5689 10	DATE
ejpam-5689	211	6	11	CARDINAL
ejpam-5689	213	1	0,∞	DATE
ejpam-5689	213	2	14	CARDINAL
ejpam-5689	213	3	15	CARDINAL
ejpam-5689	213	4	max	PERSON
ejpam-5689	215	1	+ 1 2	DATE
ejpam-5689	216	1	16	CARDINAL
ejpam-5689	216	2	1	CARDINAL
ejpam-5689	218	1	max	PERSON
ejpam-5689	218	2	y ⊕ y	PERSON
ejpam-5689	223	1	16	CARDINAL
ejpam-5689	223	2	1 2 max	QUANTITY
ejpam-5689	226	1	1 2 max	QUANTITY
ejpam-5689	230	1	1 2 max	QUANTITY
ejpam-5689	230	2	1 +	CARDINAL
ejpam-5689	233	1	1 2 max	QUANTITY
ejpam-5689	233	2	1 +	CARDINAL
ejpam-5689	233	3	y ∗ ⊕	PERSON
ejpam-5689	235	1	1 2 max	QUANTITY
ejpam-5689	235	2	1 + s2j	DATE
ejpam-5689	235	3	y ⊕ y	PERSON
ejpam-5689	238	1	0	CARDINAL
ejpam-5689	239	1	max	PERSON
ejpam-5689	239	2	y ⊕ y	PERSON
ejpam-5689	245	1	a. al-natoor	PERSON
ejpam-5689	245	2	f. alrimawi	PERSON
ejpam-5689	246	1	j. pure	PERSON
ejpam-5689	246	2	18	CARDINAL
ejpam-5689	246	3	1	CARDINAL
ejpam-5689	246	4	2025	CARDINAL
ejpam-5689	246	5	5689 11	DATE
ejpam-5689	246	6	11	CARDINAL
ejpam-5689	246	7	1	CARDINAL
ejpam-5689	246	8	o. adwan	PERSON
ejpam-5689	246	9	m. a. al shariah	PERSON
ejpam-5689	246	10	m. qatawneh	PERSON
ejpam-5689	248	1	cybernetics	ORG
ejpam-5689	248	2	22:36–49	CARDINAL
ejpam-5689	248	3	2022	CARDINAL
ejpam-5689	249	1	2	CARDINAL
ejpam-5689	249	2	m. abualhaj	PERSON
ejpam-5689	249	3	a. a. abu-shareha	PERSON
ejpam-5689	249	4	m. o. hiari	PERSON
ejpam-5689	249	5	m. al-zyoud	PERSON
ejpam-5689	249	6	m. a. alsharaiah	PERSON
ejpam-5689	251	1	13:192–200	CARDINAL
ejpam-5689	251	2	2024	DATE
ejpam-5689	252	1	3	CARDINAL
ejpam-5689	252	2	a. al-natoor	PERSON
ejpam-5689	254	1	10	CARDINAL
ejpam-5689	254	2	9	CARDINAL
ejpam-5689	255	1	4	CARDINAL
ejpam-5689	255	2	a. al-natoor	PERSON
ejpam-5689	257	1	acta sci.	PERSON
ejpam-5689	258	1	szeged	ORG
ejpam-5689	258	2	2024	DATE
ejpam-5689	259	1	5	CARDINAL
ejpam-5689	259	2	a. al-natoor	PERSON
ejpam-5689	259	3	f. alrimawi	PERSON
ejpam-5689	260	1	2	CARDINAL
ejpam-5689	262	1	j. pure	PERSON
ejpam-5689	264	1	6	CARDINAL
ejpam-5689	264	2	a. al-natoor	PERSON
ejpam-5689	264	3	o. hirzallah	PERSON
ejpam-5689	264	4	f. kittaneh	PERSON
ejpam-5689	266	1	funct	PERSON
ejpam-5689	267	1	14	CARDINAL
ejpam-5689	268	1	7:14	TIME
ejpam-5689	268	2	2023	CARDINAL
ejpam-5689	269	1	7	CARDINAL
ejpam-5689	269	2	a. al-natoor	PERSON
ejpam-5689	269	3	o. hirzallah	PERSON
ejpam-5689	269	4	f. kittaneh	PERSON
ejpam-5689	272	1	oper	PERSON
ejpam-5689	272	2	21	CARDINAL
ejpam-5689	272	3	2024	DATE
ejpam-5689	273	1	8	CARDINAL
ejpam-5689	273	2	a. al-natoor	PERSON
ejpam-5689	273	3	f. kittaneh	PERSON
ejpam-5689	275	1	linear multilinear	ORG
ejpam-5689	275	2	70:4498–4507	CARDINAL
ejpam-5689	275	3	2022	CARDINAL
ejpam-5689	276	1	9	CARDINAL
ejpam-5689	276	2	h. albadawi	PERSON
ejpam-5689	278	1	funct	PERSON
ejpam-5689	279	1	3:10–18	CARDINAL
ejpam-5689	279	2	2024	DATE
ejpam-5689	280	1	10	CARDINAL
ejpam-5689	280	2	f. alrimawi	PERSON
ejpam-5689	280	3	o. hirzallah	PERSON
ejpam-5689	280	4	f. kittaneh	PERSON
ejpam-5689	282	1	funct	PERSON
ejpam-5689	283	1	11:1257–1273	DATE
ejpam-5689	283	2	2020	DATE
ejpam-5689	284	1	11	CARDINAL
ejpam-5689	284	2	f. alrimawi	PERSON
ejpam-5689	284	3	h. kawariq	PERSON
ejpam-5689	287	1	j. math	PERSON
ejpam-5689	289	1	sci.	ORG
ejpam-5689	289	2	15:845–855	CARDINAL
ejpam-5689	289	3	2020	DATE
ejpam-5689	290	1	12	CARDINAL
ejpam-5689	290	2	l.h. baniata, o. adwan	PERSON
ejpam-5689	290	3	o. abualghanam	PERSON
ejpam-5689	290	4	a. a. abu-shareha	PERSON
ejpam-5689	290	5	l. alzboon	PERSON
ejpam-5689	290	6	n. mustafa	PERSON
ejpam-5689	290	7	m. baniata	PERSON
ejpam-5689	293	1	j. interact	PERSON
ejpam-5689	295	1	technol	PERSON
ejpam-5689	295	2	16:32–51	CARDINAL
ejpam-5689	295	3	2022	CARDINAL
ejpam-5689	296	1	13	CARDINAL
ejpam-5689	296	2	r. bhatia	PERSON
ejpam-5689	298	1	new york	GPE
ejpam-5689	298	2	1997	DATE
ejpam-5689	299	1	14	CARDINAL
ejpam-5689	299	2	f. kittaneh	PERSON
ejpam-5689	301	1	linear	ORG
ejpam-5689	301	2	424:71–82	CARDINAL
ejpam-5689	301	3	2007	DATE