id	sid	eid	entity	type
ejpam-5693	1	1	european journal	ORG
ejpam-5693	1	2	2025	DATE
ejpam-5693	1	3	18	CARDINAL
ejpam-5693	1	4	1	CARDINAL
ejpam-5693	1	5	5693	CARDINAL
ejpam-5693	1	6	1307-5543	CARDINAL
ejpam-5693	1	7	new york	GPE
ejpam-5693	1	8	ola ramadan1	PERSON
ejpam-5693	1	9	aliaa burqan1,∗	PERSON
ejpam-5693	1	10	1	CARDINAL
ejpam-5693	1	11	zarqa university	ORG
ejpam-5693	1	12	13110	DATE
ejpam-5693	1	13	jordan	PERSON
ejpam-5693	4	1	khandaqji	ORG
ejpam-5693	4	2	4	CARDINAL
ejpam-5693	5	1	2020	DATE
ejpam-5693	5	2	47a63	CARDINAL
ejpam-5693	5	3	15a60	DATE
ejpam-5693	7	1	1	CARDINAL
ejpam-5693	7	2	n × n	LOC
ejpam-5693	9	1	∥t∥2	PERSON
ejpam-5693	9	2	∑n	ORG
ejpam-5693	9	3	2	CARDINAL
ejpam-5693	9	4	1 2	CARDINAL
ejpam-5693	10	1	∑n j=1	ORG
ejpam-5693	11	1	1 2	CARDINAL
ejpam-5693	12	1	0	CARDINAL
ejpam-5693	12	2	0 ≤ µ	MONEY
ejpam-5693	12	3	1− µ)b	TIME
ejpam-5693	12	4	1.1	CARDINAL
ejpam-5693	12	5	b. kittaneh	PERSON
ejpam-5693	13	1	5	CARDINAL
ejpam-5693	13	2	1.1	CARDINAL
ejpam-5693	13	3	1− µ)b	TIME
ejpam-5693	13	4	1.2	CARDINAL
ejpam-5693	13	5	1−	CARDINAL
ejpam-5693	14	1	kittaneh	PERSON
ejpam-5693	15	1	6	CARDINAL
ejpam-5693	15	2	1.2	CARDINAL
ejpam-5693	15	3	1− µ)b ≤	CARDINAL
ejpam-5693	15	4	1.3	CARDINAL
ejpam-5693	17	1	ola	PERSON
ejpam-5693	17	2	a. burqan	PERSON
ejpam-5693	17	3	1	CARDINAL
ejpam-5693	17	4	2025	CARDINAL
ejpam-5693	18	1	a. burqan	PERSON
ejpam-5693	19	1	j. pure	PERSON
ejpam-5693	19	2	18	CARDINAL
ejpam-5693	19	3	1	CARDINAL
ejpam-5693	19	4	2025	CARDINAL
ejpam-5693	19	5	5693 2	DATE
ejpam-5693	19	6	8	CARDINAL
ejpam-5693	19	7	1−	CARDINAL
ejpam-5693	20	1	kai	PERSON
ejpam-5693	21	1	9	CARDINAL
ejpam-5693	21	2	1.1	CARDINAL
ejpam-5693	21	3	0 ≤	MONEY
ejpam-5693	21	4	2 +	DATE
ejpam-5693	22	1	1− µ)2b2	PRODUCT
ejpam-5693	23	1	1.4	CARDINAL
ejpam-5693	23	2	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	23	3	2 +	DATE
ejpam-5693	23	4	1− µ)2(a− b)2 ≤ µ2a2 +	MONEY
ejpam-5693	23	5	1− µ)2b2	PRODUCT
ejpam-5693	24	1	1.5	CARDINAL
ejpam-5693	24	2	1.4	CARDINAL
ejpam-5693	24	3	1.5	CARDINAL
ejpam-5693	24	4	khandaqji	ORG
ejpam-5693	24	5	4	CARDINAL
ejpam-5693	24	6	0 ≤	MONEY
ejpam-5693	25	1	1− µ)2b2 ≤	PRODUCT
ejpam-5693	26	1	2	CARDINAL
ejpam-5693	26	2	1.6	CARDINAL
ejpam-5693	26	3	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	26	4	1− µ)2b2 ≤	PRODUCT
ejpam-5693	27	1	2	CARDINAL
ejpam-5693	28	1	1.7	CARDINAL
ejpam-5693	28	2	shokoori	ORG
ejpam-5693	28	3	8	CARDINAL
ejpam-5693	28	4	kai	ORG
ejpam-5693	28	5	0 ≤	MONEY
ejpam-5693	28	6	b)2	ORG
ejpam-5693	28	7	2 ≤	QUANTITY
ejpam-5693	28	8	1− µ)2b2	PRODUCT
ejpam-5693	28	9	1.8	CARDINAL
ejpam-5693	28	10	1− 2µ	CARDINAL
ejpam-5693	29	1	1 2 ≤ µ ≤ 1	QUANTITY
ejpam-5693	29	2	a2µ[(1− µ)b]2−2µ +	LOC
ejpam-5693	29	3	1− µ)2(a− b)2 +	DATE
ejpam-5693	29	4	1− µ)b )	TIME
ejpam-5693	29	5	2 ≤	QUANTITY
ejpam-5693	29	6	1− µ)2b2	PRODUCT
ejpam-5693	29	7	1.9	CARDINAL
ejpam-5693	29	8	min{2µ− 1, 2− 2µ	DATE
ejpam-5693	30	1	1.1	CARDINAL
ejpam-5693	30	2	1	CARDINAL
ejpam-5693	30	3	∈	ORG
ejpam-5693	31	1	1− µ)b∥	DATE
ejpam-5693	31	2	0 ≤ µ ≤ 1	MONEY
ejpam-5693	32	1	1.10	CARDINAL
ejpam-5693	33	1	7	CARDINAL
ejpam-5693	33	2	bhatia	PERSON
ejpam-5693	33	3	parthasarathy	PERSON
ejpam-5693	33	4	3	CARDINAL
ejpam-5693	34	1	1− µ)xb∥22	PERSON
ejpam-5693	34	2	0 ≤ µ ≤ 1	MONEY
ejpam-5693	35	1	1.11	CARDINAL
ejpam-5693	35	2	1.4	CARDINAL
ejpam-5693	35	3	1.5	CARDINAL
ejpam-5693	35	4	kai	PERSON
ejpam-5693	36	1	9	CARDINAL
ejpam-5693	36	2	−xb∥22	ORG
ejpam-5693	36	3	1− µ)xb∥22	PERSON
ejpam-5693	36	4	1.12	CARDINAL
ejpam-5693	36	5	a. burqan	PERSON
ejpam-5693	37	1	j. pure	PERSON
ejpam-5693	37	2	18	CARDINAL
ejpam-5693	37	3	1	CARDINAL
ejpam-5693	37	4	2025	CARDINAL
ejpam-5693	37	5	5693 3	DATE
ejpam-5693	37	6	0 ≤ µ	MONEY
ejpam-5693	39	1	1− µ)xb∥22	PERSON
ejpam-5693	39	2	1.13	CARDINAL
ejpam-5693	39	3	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	40	1	khandaqji	ORG
ejpam-5693	40	2	4	CARDINAL
ejpam-5693	40	3	1.6	CARDINAL
ejpam-5693	40	4	1.7	CARDINAL
ejpam-5693	41	1	0 ≤	MONEY
ejpam-5693	42	1	+ 2µ(1−	DATE
ejpam-5693	42	2	1− µ)2(1−µ)∥aµxb1−µ∥22	TIME
ejpam-5693	43	1	1.14	CARDINAL
ejpam-5693	43	2	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	43	3	+ 2µ(1−	DATE
ejpam-5693	44	1	1.15	CARDINAL
ejpam-5693	44	2	1.8	CARDINAL
ejpam-5693	44	3	1.9	CARDINAL
ejpam-5693	44	4	1.6	CARDINAL
ejpam-5693	44	5	1.7	CARDINAL
ejpam-5693	46	1	2	CARDINAL
ejpam-5693	46	2	two	CARDINAL
ejpam-5693	46	3	first	ORDINAL
ejpam-5693	47	1	2.1	CARDINAL
ejpam-5693	47	2	1	CARDINAL
ejpam-5693	48	1	0	CARDINAL
ejpam-5693	49	1	0 ≤	MONEY
ejpam-5693	49	2	1− µ)2b2 ≤	PRODUCT
ejpam-5693	49	3	b)2	ORG
ejpam-5693	49	4	2	CARDINAL
ejpam-5693	49	5	2.1	CARDINAL
ejpam-5693	49	6	1− 2µ	CARDINAL
ejpam-5693	50	1	1 2 ≤ µ ≤ 1	QUANTITY
ejpam-5693	50	2	1− µ)2(a− b)2 +	DATE
ejpam-5693	50	3	1− µ)b )	TIME
ejpam-5693	50	4	2	CARDINAL
ejpam-5693	50	5	2.2	CARDINAL
ejpam-5693	50	6	max{2µ− 1, 2− 2µ	DATE
ejpam-5693	51	1	o. ramadan	PERSON
ejpam-5693	51	2	a. burqan	PERSON
ejpam-5693	52	1	j. pure	PERSON
ejpam-5693	52	2	18	CARDINAL
ejpam-5693	52	3	1	CARDINAL
ejpam-5693	52	4	2025	CARDINAL
ejpam-5693	52	5	5693 4	DATE
ejpam-5693	53	1	0 ≤	MONEY
ejpam-5693	53	2	1.3	CARDINAL
ejpam-5693	55	1	1− µ)2b2	TIME
ejpam-5693	55	2	b)2	ORG
ejpam-5693	55	3	2µb2	CARDINAL
ejpam-5693	55	4	2µ)b+ 2µ(µa	CARDINAL
ejpam-5693	56	1	2	CARDINAL
ejpam-5693	56	2	2	CARDINAL
ejpam-5693	56	3	1− µ)2b2 ≤	PRODUCT
ejpam-5693	56	4	b)2	ORG
ejpam-5693	56	5	2	CARDINAL
ejpam-5693	57	1	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	57	2	1.3	CARDINAL
ejpam-5693	58	1	1− µ)2b2 −	WORK_OF_ART
ejpam-5693	58	2	+ 2ab+ 2µ2ab+ 2µa2	QUANTITY
ejpam-5693	59	1	4µab	CARDINAL
ejpam-5693	59	2	1)a+	PRODUCT
ejpam-5693	60	1	1− µ)b )	TIME
ejpam-5693	60	2	2	CARDINAL
ejpam-5693	60	3	1− µ)b )	TIME
ejpam-5693	60	4	2	CARDINAL
ejpam-5693	60	5	1− µ)2(a− b)2 +	DATE
ejpam-5693	60	6	1− µ)b )	TIME
ejpam-5693	60	7	2	CARDINAL
ejpam-5693	62	1	2.2	CARDINAL
ejpam-5693	62	2	2.1	CARDINAL
ejpam-5693	62	3	2.2	CARDINAL
ejpam-5693	63	1	2	CARDINAL
ejpam-5693	65	1	0 ≤	MONEY
ejpam-5693	65	2	1	CARDINAL
ejpam-5693	65	3	1	CARDINAL
ejpam-5693	65	4	3 4	DATE
ejpam-5693	66	1	+ 2µ(1−	CARDINAL
ejpam-5693	66	2	2.3	CARDINAL
ejpam-5693	66	3	1− 2µ	CARDINAL
ejpam-5693	67	1	1 2 ≤ µ ≤ 1	QUANTITY
ejpam-5693	67	2	1−	CARDINAL
ejpam-5693	67	3	− 2 √	PERSON
ejpam-5693	67	4	1−	CARDINAL
ejpam-5693	67	5	3	CARDINAL
ejpam-5693	67	6	1 4	DATE
ejpam-5693	68	1	+ 2µ(1−	CARDINAL
ejpam-5693	68	2	2.4	CARDINAL
ejpam-5693	68	3	a. burqan	PERSON
ejpam-5693	69	1	j. pure	PERSON
ejpam-5693	69	2	18	CARDINAL
ejpam-5693	69	3	1	CARDINAL
ejpam-5693	69	4	2025	CARDINAL
ejpam-5693	69	5	5693 5	DATE
ejpam-5693	69	6	max{2µ− 1, 2− 2µ	DATE
ejpam-5693	71	1	∈	ORG
ejpam-5693	71	2	1	CARDINAL
ejpam-5693	72	1	1−	TIME
ejpam-5693	72	2	∗	CARDINAL
ejpam-5693	72	3	∗	CARDINAL
ejpam-5693	72	4	1	CARDINAL
ejpam-5693	72	5	2xb	ORDINAL
ejpam-5693	72	6	∗	CARDINAL
ejpam-5693	72	7	1−µ	DATE
ejpam-5693	72	8	0 ≤	MONEY
ejpam-5693	72	9	2.1	CARDINAL
ejpam-5693	73	1	1−	LANGUAGE
ejpam-5693	73	2	2 |yij	DATE
ejpam-5693	73	3	2 |yij |2 +	DATE
ejpam-5693	73	4	1−µ	DATE
ejpam-5693	75	1	j |yij	PERSON
ejpam-5693	76	1	1	CARDINAL
ejpam-5693	76	2	1	CARDINAL
ejpam-5693	76	3	3 4	DATE
ejpam-5693	77	1	1	CARDINAL
ejpam-5693	77	2	1	CARDINAL
ejpam-5693	77	3	3 4	DATE
ejpam-5693	78	1	+ 2µ(1−	CARDINAL
ejpam-5693	78	2	2.3	CARDINAL
ejpam-5693	79	1	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	79	2	2.2	CARDINAL
ejpam-5693	79	3	a. burqan	PERSON
ejpam-5693	80	1	j. pure	PERSON
ejpam-5693	80	2	18	CARDINAL
ejpam-5693	80	3	1	CARDINAL
ejpam-5693	80	4	2025	CARDINAL
ejpam-5693	80	5	5693 6	DATE
ejpam-5693	80	6	8	CARDINAL
ejpam-5693	80	7	2.4	CARDINAL
ejpam-5693	83	1	2	CARDINAL
ejpam-5693	84	1	1	CARDINAL
ejpam-5693	88	1	2	CARDINAL
ejpam-5693	89	1	1	CARDINAL
ejpam-5693	90	1	1 2	CARDINAL
ejpam-5693	90	2	1 2	CARDINAL
ejpam-5693	91	1	3	CARDINAL
ejpam-5693	93	1	0 ≤	MONEY
ejpam-5693	93	2	1− µ)2b2	TIME
ejpam-5693	94	1	2∥ab∥1	CARDINAL
ejpam-5693	95	1	1	CARDINAL
ejpam-5693	96	1	2.5	CARDINAL
ejpam-5693	96	2	1− 2µ	CARDINAL
ejpam-5693	97	1	1 2 ≤ µ ≤ 1	QUANTITY
ejpam-5693	97	2	1− µ)2b2	TIME
ejpam-5693	97	3	1− µ)2µ∥aµ∥2∥b1−µ∥2 +	DATE
ejpam-5693	97	4	1− µ)2	WORK_OF_ART
ejpam-5693	98	1	2∥ab∥1	CARDINAL
ejpam-5693	99	1	1−	ORDINAL
ejpam-5693	99	2	2	CARDINAL
ejpam-5693	99	3	3	CARDINAL
ejpam-5693	100	1	2.6	CARDINAL
ejpam-5693	100	2	max{2µ− 1, 2− 2µ	DATE
ejpam-5693	102	1	0 ≤	MONEY
ejpam-5693	102	2	1− µ)2b2	TIME
ejpam-5693	102	3	1−	CARDINAL
ejpam-5693	103	1	2.1	CARDINAL
ejpam-5693	104	1	1− µ)2b2	TIME
ejpam-5693	104	2	2µ)sj(b 2(1−µ	CARDINAL
ejpam-5693	106	1	2	CARDINAL
ejpam-5693	108	1	2 √	DATE
ejpam-5693	108	2	1 2	CARDINAL
ejpam-5693	108	3	3 2	CARDINAL
ejpam-5693	109	1	o. ramadan	PERSON
ejpam-5693	109	2	a. burqan	PERSON
ejpam-5693	110	1	j. pure	PERSON
ejpam-5693	110	2	18	CARDINAL
ejpam-5693	110	3	1	CARDINAL
ejpam-5693	110	4	2025	CARDINAL
ejpam-5693	110	5	5693 7	DATE
ejpam-5693	110	6	8	CARDINAL
ejpam-5693	110	7	1	CARDINAL
ejpam-5693	110	8	lemma 2	ORG
ejpam-5693	110	9	1− µ)2b2	TIME
ejpam-5693	111	1	2µ	CARDINAL
ejpam-5693	111	2	1 2	CARDINAL
ejpam-5693	111	3	2(1−µ	CARDINAL
ejpam-5693	111	4	1 2 + µ2	QUANTITY
ejpam-5693	111	5	2	CARDINAL
ejpam-5693	112	1	1 2	CARDINAL
ejpam-5693	112	2	1 2	CARDINAL
ejpam-5693	112	3	1 2b	CARDINAL
ejpam-5693	114	1	1− µ)2b2	TIME
ejpam-5693	115	1	2∥ab∥1	CARDINAL
ejpam-5693	116	1	1	CARDINAL
ejpam-5693	117	1	2.5	CARDINAL
ejpam-5693	118	1	1 2 ≤ µ ≤ 1	MONEY
ejpam-5693	118	2	2.2	CARDINAL
ejpam-5693	118	3	2.6	CARDINAL
ejpam-5693	121	1	zarqa universityjordan	ORG
ejpam-5693	122	1	1	CARDINAL
ejpam-5693	124	1	33	CARDINAL
ejpam-5693	124	2	birkhäuser basel	PERSON
ejpam-5693	124	3	1995	DATE
ejpam-5693	125	1	2	CARDINAL
ejpam-5693	127	1	28-56	CARDINAL
ejpam-5693	128	1	new york	GPE
ejpam-5693	128	2	1997	DATE
ejpam-5693	129	1	3	CARDINAL
ejpam-5693	129	2	k parthasarathy	PERSON
ejpam-5693	131	1	london	GPE
ejpam-5693	131	2	32(2):214–228	CARDINAL
ejpam-5693	131	3	2000	DATE
ejpam-5693	132	1	4	CARDINAL
ejpam-5693	132	2	khandaqji	PERSON
ejpam-5693	134	1	9(1):113–120	CARDINAL
ejpam-5693	134	2	2015	DATE
ejpam-5693	135	1	5	CARDINAL
ejpam-5693	135	2	y manasrah	PERSON
ejpam-5693	137	1	361(1):262–269	PRODUCT
ejpam-5693	137	2	2010	DATE
ejpam-5693	138	1	6	CARDINAL
ejpam-5693	138	2	y manasrah	PERSON
ejpam-5693	140	1	linear	ORG
ejpam-5693	140	2	59(9):1031–1037, 2011	DATE
ejpam-5693	141	1	o. ramadan	PERSON
ejpam-5693	141	2	a. burqan	PERSON
ejpam-5693	142	1	j. pure	PERSON
ejpam-5693	142	2	18	CARDINAL
ejpam-5693	142	3	1	CARDINAL
ejpam-5693	142	4	2025	CARDINAL
ejpam-5693	142	5	5693 8	DATE
ejpam-5693	142	6	7	CARDINAL
ejpam-5693	144	1	156(2):429–451, 1998	DATE
ejpam-5693	145	1	8	CARDINAL
ejpam-5693	145	2	w liao	PERSON
ejpam-5693	147	1	8(1):261–267	DATE
ejpam-5693	147	2	2017	DATE
ejpam-5693	148	1	9	CARDINAL
ejpam-5693	148	2	xing-kai	PERSON
ejpam-5693	150	1	journal of	ORG
ejpam-5693	150	2	east china normal university	ORG
ejpam-5693	150	3	4, 2012	DATE