id	sid	eid	entity	type
ejpam-5586	1	1	european journal	ORG
ejpam-5586	1	2	2025	DATE
ejpam-5586	1	3	18	CARDINAL
ejpam-5586	1	4	1	CARDINAL
ejpam-5586	1	5	5586	CARDINAL
ejpam-5586	1	6	new york	GPE
ejpam-5586	1	7	m.h.m	NORP
ejpam-5586	1	8	wael mahmoud mohammad salameh2	PERSON
ejpam-5586	1	9	1	CARDINAL
ejpam-5586	1	10	mutah university	ORG
ejpam-5586	1	11	al-karak	ORG
ejpam-5586	1	12	jordan 2	PERSON
ejpam-5586	1	13	abu dhabi university	ORG
ejpam-5586	1	14	abu dhabi	ORG
ejpam-5586	1	15	59911	CARDINAL
ejpam-5586	1	16	united arab	GPE
ejpam-5586	1	17	emirates	GPE
ejpam-5586	2	1	0	CARDINAL
ejpam-5586	2	2	1	CARDINAL
ejpam-5586	8	1	2020	DATE
ejpam-5586	8	2	26d07	CARDINAL
ejpam-5586	8	3	26d15	CARDINAL
ejpam-5586	8	4	47a63	CARDINAL
ejpam-5586	8	5	1	CARDINAL
ejpam-5586	10	1	mn(c	GPE
ejpam-5586	11	1	mn(c	GPE
ejpam-5586	11	2	0	CARDINAL
ejpam-5586	11	3	0	CARDINAL
ejpam-5586	13	1	two	CARDINAL
ejpam-5586	15	1	∗corresponding	PERSON
ejpam-5586	16	1	malik	PERSON
ejpam-5586	16	2	1	CARDINAL
ejpam-5586	17	1	2025	CARDINAL
ejpam-5586	20	1	j. pure	PERSON
ejpam-5586	20	2	18	CARDINAL
ejpam-5586	20	3	1	CARDINAL
ejpam-5586	20	4	2025	CARDINAL
ejpam-5586	20	5	5586 2	CARDINAL
ejpam-5586	20	6	21	CARDINAL
ejpam-5586	21	1	n × n	ORG
ejpam-5586	21	2	|||uav	PERSON
ejpam-5586	23	1	∥t∥2	PERSON
ejpam-5586	23	2	t )	DATE
ejpam-5586	25	1	1	CARDINAL
ejpam-5586	25	2	≥ sn(t	PERSON
ejpam-5586	25	3	0	CARDINAL
ejpam-5586	29	1	0	CARDINAL
ejpam-5586	29	2	0 ≤	MONEY
ejpam-5586	29	3	ρκσ1−κ ≤ κρ+	DATE
ejpam-5586	29	4	1−	WORK_OF_ART
ejpam-5586	29	5	2	CARDINAL
ejpam-5586	31	1	1 2	CARDINAL
ejpam-5586	31	2	σ 2 .	ORG
ejpam-5586	32	1	3	CARDINAL
ejpam-5586	32	2	kittaneh	PERSON
ejpam-5586	32	3	10	CARDINAL
ejpam-5586	33	1	2	CARDINAL
ejpam-5586	33	2	2	CARDINAL
ejpam-5586	33	3	2 ≤	MONEY
ejpam-5586	33	4	4	CARDINAL
ejpam-5586	33	5	∈	ORG
ejpam-5586	33	6	1−	LANGUAGE
ejpam-5586	34	1	2	CARDINAL
ejpam-5586	35	1	2	CARDINAL
ejpam-5586	35	2	1	CARDINAL
ejpam-5586	35	3	2	CARDINAL
ejpam-5586	36	1	1	CARDINAL
ejpam-5586	36	2	2	DATE
ejpam-5586	36	3	1	CARDINAL
ejpam-5586	36	4	2	CARDINAL
ejpam-5586	36	5	1,∞	CARDINAL
ejpam-5586	36	6	0	CARDINAL
ejpam-5586	36	7	1	CARDINAL
ejpam-5586	37	1	11	CARDINAL
ejpam-5586	37	2	15	DATE
ejpam-5586	37	3	17	DATE
ejpam-5586	37	4	22	CARDINAL
ejpam-5586	38	1	2)rρ♯κσ ≤ ρ∇κσ	MONEY
ejpam-5586	38	2	2)rρ♯κσ	DATE
ejpam-5586	38	3	5	CARDINAL
ejpam-5586	38	4	0	CARDINAL
ejpam-5586	38	5	1	CARDINAL
ejpam-5586	38	6	1−	TIME
ejpam-5586	38	7	1−	TIME
ejpam-5586	38	8	σ ρ	ORG
ejpam-5586	39	1	second	ORDINAL
ejpam-5586	39	2	5	CARDINAL
ejpam-5586	39	3	liao et al	PERSON
ejpam-5586	40	1	12	CARDINAL
ejpam-5586	40	2	first	ORDINAL
ejpam-5586	41	1	11	CARDINAL
ejpam-5586	42	1	19	CARDINAL
ejpam-5586	44	1	2)r ′	TIME
ejpam-5586	44	2	ρ♯κσ ≤ ρ∇κσ	LAW
ejpam-5586	44	3	6	CARDINAL
ejpam-5586	46	1	j. pure	PERSON
ejpam-5586	46	2	18	CARDINAL
ejpam-5586	46	3	1	CARDINAL
ejpam-5586	46	4	2025	CARDINAL
ejpam-5586	46	5	5586 3 of 21	DATE
ejpam-5586	48	1	2)−r′ρ♯κσ	CARDINAL
ejpam-5586	49	1	7	CARDINAL
ejpam-5586	49	2	σ ρ	PERSON
ejpam-5586	49	3	1	CARDINAL
ejpam-5586	49	4	1	CARDINAL
ejpam-5586	49	5	1	CARDINAL
ejpam-5586	49	6	2r	CARDINAL
ejpam-5586	50	1	12	CARDINAL
ejpam-5586	52	1	2)r ′	TIME
ejpam-5586	52	2	ρ♯κσ	EVENT
ejpam-5586	52	3	1− 2r	QUANTITY
ejpam-5586	53	1	0	CARDINAL
ejpam-5586	53	2	1	CARDINAL
ejpam-5586	53	3	two	CARDINAL
ejpam-5586	53	4	σ	ORG
ejpam-5586	54	1	ρ♯κσ	DATE
ejpam-5586	54	2	+ ρ♯1−κσ 2	MONEY
ejpam-5586	54	3	9	CARDINAL
ejpam-5586	55	1	ρ♯κσ	ORDINAL
ejpam-5586	56	1	0	CARDINAL
ejpam-5586	56	2	1	CARDINAL
ejpam-5586	57	1	1 2	CARDINAL
ejpam-5586	58	1	1	CARDINAL
ejpam-5586	58	2	σ 2 .	ORG
ejpam-5586	59	1	10	CARDINAL
ejpam-5586	59	2	σ	ORG
ejpam-5586	59	3	1 2	DATE
ejpam-5586	62	1	1− ϑ) √	TIME
ejpam-5586	62	2	2	CARDINAL
ejpam-5586	63	1	0	CARDINAL
ejpam-5586	63	2	1	CARDINAL
ejpam-5586	63	3	σ ∈	PERSON
ejpam-5586	64	1	11	CARDINAL
ejpam-5586	64	2	0	CARDINAL
ejpam-5586	64	3	1	CARDINAL
ejpam-5586	67	1	bhatia	ORG
ejpam-5586	67	2	2	CARDINAL
ejpam-5586	67	3	ϑ(κ	ORG
ejpam-5586	68	1	2κ	CARDINAL
ejpam-5586	68	2	0	CARDINAL
ejpam-5586	68	3	1	CARDINAL
ejpam-5586	68	4	σ	ORG
ejpam-5586	69	1	12	CARDINAL
ejpam-5586	70	1	0	CARDINAL
ejpam-5586	70	2	1	CARDINAL
ejpam-5586	72	1	section three	LAW
ejpam-5586	73	1	section 4	LAW
ejpam-5586	74	1	section 5	LAW
ejpam-5586	75	1	m.h.m rashid	ORG
ejpam-5586	77	1	j. pure	PERSON
ejpam-5586	77	2	18	CARDINAL
ejpam-5586	77	3	1	CARDINAL
ejpam-5586	77	4	2025	CARDINAL
ejpam-5586	77	5	5586 4	DATE
ejpam-5586	77	6	2	CARDINAL
ejpam-5586	77	7	r. bhatia	PERSON
ejpam-5586	78	1	0	CARDINAL
ejpam-5586	78	2	1/2	CARDINAL
ejpam-5586	79	1	one	CARDINAL
ejpam-5586	79	2	11	CARDINAL
ejpam-5586	79	3	∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t 1/2xs1/2 +	DATE
ejpam-5586	79	4	2	CARDINAL
ejpam-5586	79	5	13	CARDINAL
ejpam-5586	80	1	9	CARDINAL
ejpam-5586	80	2	12	CARDINAL
ejpam-5586	81	1	2	CARDINAL
ejpam-5586	81	2	5	CARDINAL
ejpam-5586	81	3	6	CARDINAL
ejpam-5586	81	4	4	CARDINAL
ejpam-5586	81	5	8	CARDINAL
ejpam-5586	82	1	0	CARDINAL
ejpam-5586	82	2	1/2	CARDINAL
ejpam-5586	82	3	ψ(ϑ	PRODUCT
ejpam-5586	82	4	ψ(ϑ	PRODUCT
ejpam-5586	83	1	ψ(ϑ	PRODUCT
ejpam-5586	83	2	1/2,∞	CARDINAL
ejpam-5586	84	1	11	CARDINAL
ejpam-5586	86	1	12	CARDINAL
ejpam-5586	86	2	1 2	CARDINAL
ejpam-5586	86	3	1−µxsµ	CARDINAL
ejpam-5586	86	4	2	CARDINAL
ejpam-5586	86	5	14	CARDINAL
ejpam-5586	87	1	1/4	CARDINAL
ejpam-5586	87	2	3/4	CARDINAL
ejpam-5586	87	3	∈	ORG
ejpam-5586	88	1	0	CARDINAL
ejpam-5586	88	2	1	CARDINAL
ejpam-5586	88	3	∈	ORG
ejpam-5586	89	1	1/2,∞	CARDINAL
ejpam-5586	91	1	0	CARDINAL
ejpam-5586	91	2	1	CARDINAL
ejpam-5586	93	1	1	CARDINAL
ejpam-5586	94	1	6	CARDINAL
ejpam-5586	95	1	max	PERSON
ejpam-5586	95	2	tii|||s|||	ORDINAL
ejpam-5586	95	3	1	CARDINAL
ejpam-5586	95	4	2	DATE
ejpam-5586	96	1	1	CARDINAL
ejpam-5586	97	1	21	CARDINAL
ejpam-5586	97	2	∈	ORG
ejpam-5586	98	1	−1	CARDINAL
ejpam-5586	98	2	1	CARDINAL
ejpam-5586	98	3	−2	ORG
ejpam-5586	98	4	2	CARDINAL
ejpam-5586	99	1	κri +	ORG
ejpam-5586	100	1	m.h.m rashid	PERSON
ejpam-5586	102	1	j. pure	PERSON
ejpam-5586	102	2	18	CARDINAL
ejpam-5586	102	3	1	CARDINAL
ejpam-5586	102	4	2025	CARDINAL
ejpam-5586	102	5	5586 5	DATE
ejpam-5586	102	6	21	CARDINAL
ejpam-5586	102	7	2	CARDINAL
ejpam-5586	103	1	∈	ORG
ejpam-5586	104	1	0	CARDINAL
ejpam-5586	104	2	1	CARDINAL
ejpam-5586	104	3	ψ(ϑ	PRODUCT
ejpam-5586	104	4	∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t	DATE
ejpam-5586	104	5	2	CARDINAL
ejpam-5586	104	6	1 2 ≤	QUANTITY
ejpam-5586	104	7	ψ(ϑ	PRODUCT
ejpam-5586	104	8	0	CARDINAL
ejpam-5586	104	9	12	CARDINAL
ejpam-5586	106	1	first	ORDINAL
ejpam-5586	106	2	is,∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t κxs1−κ	ORG
ejpam-5586	106	3	2	CARDINAL
ejpam-5586	106	4	2 z(ϑ	FAC
ejpam-5586	106	5	1−κ	CARDINAL
ejpam-5586	106	6	2	CARDINAL
ejpam-5586	107	1	0	CARDINAL
ejpam-5586	108	1	q(ϑ)t	ORG
ejpam-5586	108	2	1−κ	CARDINAL
ejpam-5586	109	1	q(ϑ)ηκi η 1−κ	PERSON
ejpam-5586	111	1	q(ϑ)ηκi η 1−κ	PERSON
ejpam-5586	112	1	q(ϱ)ηκi η 1−κ	PERSON
ejpam-5586	114	1	q(ϱ)t	NORP
ejpam-5586	114	2	1−κ	CARDINAL
ejpam-5586	116	1	q(ϱ)t	NORP
ejpam-5586	116	2	1−κ	CARDINAL
ejpam-5586	116	3	q(ϑ)ηκi η 1−κ	PERSON
ejpam-5586	117	1	q(ϱ)ηκi η 1−κ	PERSON
ejpam-5586	117	2	j +ηi+ηj	LAW
ejpam-5586	118	1	j q(ϱ)ηκi η 1−κ	PERSON
ejpam-5586	119	1	1)i	ORDINAL
ejpam-5586	119	2	j +	PERSON
ejpam-5586	119	3	q(ϱ)ηκi η 1−κ	PERSON
ejpam-5586	120	1	q(ϱ)ηκi η 1−κ	PERSON
ejpam-5586	123	1	lemma 1	ORG
ejpam-5586	123	2	q(ϱ	GPE
ejpam-5586	123	3	q(ϱ	PERSON
ejpam-5586	124	1	−2	ORG
ejpam-5586	124	2	2	CARDINAL
ejpam-5586	125	1	2	CARDINAL
ejpam-5586	125	2	half	CARDINAL
ejpam-5586	125	3	12	CARDINAL
ejpam-5586	125	4	2	CARDINAL
ejpam-5586	125	5	q(ϱ	GPE
ejpam-5586	125	6	1	CARDINAL
ejpam-5586	127	1	∈	ORG
ejpam-5586	127	2	0	CARDINAL
ejpam-5586	127	3	1/2	CARDINAL
ejpam-5586	127	4	2 ≤ q(ϑ	QUANTITY
ejpam-5586	128	1	1 2	CARDINAL
ejpam-5586	128	2	2	CARDINAL
ejpam-5586	128	3	1 2	DATE
ejpam-5586	128	4	1	CARDINAL
ejpam-5586	129	1	1	CARDINAL
ejpam-5586	129	2	η 1−κ	GPE
ejpam-5586	129	3	1−κ	CARDINAL
ejpam-5586	131	1	1 ηκi η	QUANTITY
ejpam-5586	131	2	1−κ	CARDINAL
ejpam-5586	133	1	j m.h.m rashid	PERSON
ejpam-5586	135	1	j. pure	PERSON
ejpam-5586	135	2	18	CARDINAL
ejpam-5586	135	3	1	CARDINAL
ejpam-5586	135	4	2025	CARDINAL
ejpam-5586	135	5	5586 6	CARDINAL
ejpam-5586	136	1	1 2z	CARDINAL
ejpam-5586	136	2	1 2	CARDINAL
ejpam-5586	137	1	ψ(ϑ	PRODUCT
ejpam-5586	137	2	0	CARDINAL
ejpam-5586	137	3	1/2	CARDINAL
ejpam-5586	138	1	0	CARDINAL
ejpam-5586	139	1	1	CARDINAL
ejpam-5586	140	1	half	CARDINAL
ejpam-5586	140	2	1 2	CARDINAL
ejpam-5586	140	3	2	CARDINAL
ejpam-5586	140	4	2.3	CARDINAL
ejpam-5586	140	5	8	CARDINAL
ejpam-5586	142	1	2	CARDINAL
ejpam-5586	142	2	1	CARDINAL
ejpam-5586	144	1	0,∞	DATE
ejpam-5586	144	2	ψ∗(x	ORG
ejpam-5586	144	3	x(ψ(x))−1	GPE
ejpam-5586	144	4	1 2	CARDINAL
ejpam-5586	144	5	∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t κxs1−κ	ORG
ejpam-5586	144	6	2	CARDINAL
ejpam-5586	144	7	∣∣∣∣∣∣∣∣∣∣∣∣.	GPE
ejpam-5586	144	8	2	CARDINAL
ejpam-5586	146	1	1 4 ≤	MONEY
ejpam-5586	146	2	∈	ORG
ejpam-5586	147	1	0	CARDINAL
ejpam-5586	147	2	1	CARDINAL
ejpam-5586	147	3	∈	ORG
ejpam-5586	147	4	1/2,∞	CARDINAL
ejpam-5586	147	5	1 2	CARDINAL
ejpam-5586	147	6	1−µxsµ	CARDINAL
ejpam-5586	147	7	2	CARDINAL
ejpam-5586	147	8	∣∣∣∣∣∣∣∣∣∣∣∣.	GPE
ejpam-5586	150	1	1	CARDINAL
ejpam-5586	151	1	2	CARDINAL
ejpam-5586	151	2	3	CARDINAL
ejpam-5586	152	1	η = min{sp(t	PERSON
ejpam-5586	153	1	1/4	CARDINAL
ejpam-5586	153	2	3/4	CARDINAL
ejpam-5586	153	3	∈	ORG
ejpam-5586	154	1	0	CARDINAL
ejpam-5586	154	2	1	CARDINAL
ejpam-5586	155	1	0,∞	DATE
ejpam-5586	155	2	2	CARDINAL
ejpam-5586	156	1	2	CARDINAL
ejpam-5586	156	2	∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t κxs1−κ	ORG
ejpam-5586	156	3	2	CARDINAL
ejpam-5586	157	1	1/2,∞	CARDINAL
ejpam-5586	159	1	3	CARDINAL
ejpam-5586	160	1	η = min{sp(t	PERSON
ejpam-5586	161	1	1/4	CARDINAL
ejpam-5586	161	2	3/4	CARDINAL
ejpam-5586	161	3	∈	ORG
ejpam-5586	162	1	0	CARDINAL
ejpam-5586	162	2	1	CARDINAL
ejpam-5586	163	1	η 2	PERSON
ejpam-5586	163	2	+ η	PERSON
ejpam-5586	163	3	2	CARDINAL
ejpam-5586	166	1	2	CARDINAL
ejpam-5586	166	2	∣∣∣∣∣∣∣∣∣∣∣∣(1− ϑ)t κxs1−κ	ORG
ejpam-5586	166	3	2	CARDINAL
ejpam-5586	167	1	1/2,∞	CARDINAL
ejpam-5586	168	1	m.h.m rashid	ORG
ejpam-5586	170	1	j. pure	PERSON
ejpam-5586	170	2	18	CARDINAL
ejpam-5586	170	3	1	CARDINAL
ejpam-5586	170	4	2025	CARDINAL
ejpam-5586	170	5	5586 7	DATE
ejpam-5586	170	6	21	CARDINAL
ejpam-5586	170	7	3	CARDINAL
ejpam-5586	170	8	∈	ORG
ejpam-5586	171	1	0	CARDINAL
ejpam-5586	171	2	1	CARDINAL
ejpam-5586	172	1	2	CARDINAL
ejpam-5586	173	1	2	CARDINAL
ejpam-5586	173	2	1 2 ≤	QUANTITY
ejpam-5586	173	3	≤	CARDINAL
ejpam-5586	173	4	0	CARDINAL
ejpam-5586	173	5	12	CARDINAL
ejpam-5586	175	1	2	CARDINAL
ejpam-5586	175	2	0	CARDINAL
ejpam-5586	176	1	2	CARDINAL
ejpam-5586	177	1	2	CARDINAL
ejpam-5586	177	2	2 z(ϑ	FAC
ejpam-5586	179	1	tx	ORG
ejpam-5586	179	2	w1(ϑ	GPE
ejpam-5586	179	3	2	CARDINAL
ejpam-5586	180	1	w1(ϑ	PERSON
ejpam-5586	182	1	tx	ORG
ejpam-5586	184	1	w1(ϑ	PERSON
ejpam-5586	184	2	η	GPE
ejpam-5586	184	3	1−µ	DATE
ejpam-5586	184	4	j + η1−µ	PERSON
ejpam-5586	189	1	asw1(ϑ	PERSON
ejpam-5586	189	2	η	GPE
ejpam-5586	189	3	1−µ	DATE
ejpam-5586	191	1	η	GPE
ejpam-5586	191	2	1−µ	DATE
ejpam-5586	193	1	+ ηj 	DATE
ejpam-5586	193	2	1 +	CARDINAL
ejpam-5586	193	3	1)ηκi η	PERSON
ejpam-5586	194	1	1)i	ORDINAL
ejpam-5586	194	2	j +	PERSON
ejpam-5586	194	3	1)ηκi η	PERSON
ejpam-5586	195	1	1	CARDINAL
ejpam-5586	195	2	2	CARDINAL
ejpam-5586	195	3	1	CARDINAL
ejpam-5586	196	1	w	PERSON
ejpam-5586	196	2	1	CARDINAL
ejpam-5586	196	3	2ϑ−1	CARDINAL
ejpam-5586	196	4	2	CARDINAL
ejpam-5586	196	5	half	CARDINAL
ejpam-5586	196	6	2	CARDINAL
ejpam-5586	196	7	2	CARDINAL
ejpam-5586	196	8	1/2,∞	CARDINAL
ejpam-5586	197	1	2	CARDINAL
ejpam-5586	198	1	w1(ϑ	PERSON
ejpam-5586	198	2	1	CARDINAL
ejpam-5586	199	1	∈	ORG
ejpam-5586	200	1	1/2,∞	CARDINAL
ejpam-5586	201	1	∈	ORG
ejpam-5586	201	2	0	CARDINAL
ejpam-5586	201	3	1/2	CARDINAL
ejpam-5586	201	4	3	CARDINAL
ejpam-5586	201	5	w1(ϑ	PERSON
ejpam-5586	201	6	lemma	ORG
ejpam-5586	201	7	1	CARDINAL
ejpam-5586	201	8	1/2	CARDINAL
ejpam-5586	202	1	w1(ϱ)−1)ηκi η	PERSON
ejpam-5586	203	1	1	CARDINAL
ejpam-5586	204	1	≤ 1 2z	CARDINAL
ejpam-5586	204	2	1 2	CARDINAL
ejpam-5586	205	1	ϕ(ϑ	PERSON
ejpam-5586	206	1	0	CARDINAL
ejpam-5586	206	2	1/2	CARDINAL
ejpam-5586	207	1	0	CARDINAL
ejpam-5586	208	1	m.h.m rashid	ORG
ejpam-5586	210	1	j. pure	PERSON
ejpam-5586	210	2	18	CARDINAL
ejpam-5586	210	3	1	CARDINAL
ejpam-5586	210	4	2025	CARDINAL
ejpam-5586	210	5	5586 8 of 21	DATE
ejpam-5586	210	6	theorems 2,	ORG
ejpam-5586	210	7	3	DATE
ejpam-5586	210	8	2	CARDINAL
ejpam-5586	210	9	5	CARDINAL
ejpam-5586	211	1	∈	ORG
ejpam-5586	212	1	0	CARDINAL
ejpam-5586	212	2	1	CARDINAL
ejpam-5586	212	3	2	CARDINAL
ejpam-5586	212	4	3	CARDINAL
ejpam-5586	213	1	ψ(0	PERSON
ejpam-5586	213	2	15	CARDINAL
ejpam-5586	213	3	∈	ORG
ejpam-5586	213	4	1/2,∞	CARDINAL
ejpam-5586	213	5	2	CARDINAL
ejpam-5586	213	6	κxs1−κ + t 1−κxsκ	LAW
ejpam-5586	213	7	2	CARDINAL
ejpam-5586	213	8	κxs1−κ	PERSON
ejpam-5586	213	9	∣∣∣∣∣∣.	GPE
ejpam-5586	213	10	2	CARDINAL
ejpam-5586	214	1	1	CARDINAL
ejpam-5586	214	2	one	CARDINAL
ejpam-5586	214	3	kaur	PERSON
ejpam-5586	214	4	singh	GPE
ejpam-5586	214	5	8	CARDINAL
ejpam-5586	214	6	2.4	CARDINAL
ejpam-5586	215	1	one-third	CARDINAL
ejpam-5586	215	2	1 3	DATE
ejpam-5586	215	3	2.10	CARDINAL
ejpam-5586	215	4	8	CARDINAL
ejpam-5586	217	1	3	CARDINAL
ejpam-5586	218	1	2	CARDINAL
ejpam-5586	219	1	0	CARDINAL
ejpam-5586	219	2	0 ≤ ν	MONEY
ejpam-5586	221	1	2)r	CARDINAL
ejpam-5586	221	2	1−	MONEY
ejpam-5586	221	3	ν	NORP
ejpam-5586	221	4	ρ♯κσ	ORDINAL
ejpam-5586	221	5	16	CARDINAL
ejpam-5586	221	6	ν	NORP
ejpam-5586	221	7	1− ν	MONEY
ejpam-5586	221	8	ρ σ	PERSON
ejpam-5586	221	9	1− 2r	CARDINAL
ejpam-5586	223	1	1−	MONEY
ejpam-5586	223	2	ρ♯κσ	ORDINAL
ejpam-5586	224	1	1− ν)σ − ν	MONEY
ejpam-5586	224	2	1−	WORK_OF_ART
ejpam-5586	225	1	ν	NORP
ejpam-5586	226	1	17	CARDINAL
ejpam-5586	226	2	6	CARDINAL
ejpam-5586	226	3	17	CARDINAL
ejpam-5586	228	1	2)r	CARDINAL
ejpam-5586	228	2	ν	NORP
ejpam-5586	229	1	16	CARDINAL
ejpam-5586	230	1	m.h.m rashid	ORG
ejpam-5586	232	1	j. pure	PERSON
ejpam-5586	232	2	18	CARDINAL
ejpam-5586	232	3	1	CARDINAL
ejpam-5586	232	4	2025	CARDINAL
ejpam-5586	232	5	5586 9	DATE
ejpam-5586	232	6	21	CARDINAL
ejpam-5586	232	7	3	CARDINAL
ejpam-5586	233	1	0	CARDINAL
ejpam-5586	233	2	0 ≤ ν	MONEY
ejpam-5586	234	1	1−	MONEY
ejpam-5586	234	2	ν	NORP
ejpam-5586	236	1	18	CARDINAL
ejpam-5586	236	2	max	PERSON
ejpam-5586	236	3	ν	NORP
ejpam-5586	236	4	1− ν	MONEY
ejpam-5586	236	5	ρ σ	PERSON
ejpam-5586	236	6	1− 2r	CARDINAL
ejpam-5586	238	1	7	CARDINAL
ejpam-5586	238	2	17	CARDINAL
ejpam-5586	238	3	1−	MONEY
ejpam-5586	238	4	ν	NORP
ejpam-5586	241	1	18	CARDINAL
ejpam-5586	242	1	two	CARDINAL
ejpam-5586	242	2	σ	ORG
ejpam-5586	242	3	0 ≤	MONEY
ejpam-5586	243	1	2	CARDINAL
ejpam-5586	244	1	19	CARDINAL
ejpam-5586	245	1	2	CARDINAL
ejpam-5586	245	2	1 2	CARDINAL
ejpam-5586	247	1	σ	ORG
ejpam-5586	247	2	1 2	CARDINAL
ejpam-5586	248	1	1	CARDINAL
ejpam-5586	249	1	σ	ORG
ejpam-5586	249	2	σ	ORG
ejpam-5586	249	3	0 ≤ µ ≤ 1	MONEY
ejpam-5586	250	1	σ 2	PERSON
ejpam-5586	250	2	0 ≤ µ ≤ 1	MONEY
ejpam-5586	251	1	20	CARDINAL
ejpam-5586	251	2	4	CARDINAL
ejpam-5586	252	1	0	CARDINAL
ejpam-5586	252	2	0 ≤ ν	MONEY
ejpam-5586	253	1	2	CARDINAL
ejpam-5586	254	1	2	CARDINAL
ejpam-5586	254	2	ν	NORP
ejpam-5586	255	1	σ)−hκ(ρ	GPE
ejpam-5586	255	2	21	CARDINAL
ejpam-5586	255	3	ν	NORP
ejpam-5586	255	4	1− ν	MONEY
ejpam-5586	255	5	ρ σ	PERSON
ejpam-5586	255	6	1− 2r	CARDINAL
ejpam-5586	257	1	σ	ORG
ejpam-5586	257	2	σ	ORG
ejpam-5586	257	3	16	CARDINAL
ejpam-5586	258	1	+k	PERSON
ejpam-5586	258	2	2)r	DATE
ejpam-5586	258	3	ν	NORP
ejpam-5586	259	1	22	CARDINAL
ejpam-5586	259	2	16	CARDINAL
ejpam-5586	259	3	22	CARDINAL
ejpam-5586	260	1	2 ]r′	QUANTITY
ejpam-5586	260	2	2hν(ρ	CARDINAL
ejpam-5586	260	3	ν	NORP
ejpam-5586	261	1	2h0(ρ	CARDINAL
ejpam-5586	261	2	2hκ(ρ	TIME
ejpam-5586	261	3	2	CARDINAL
ejpam-5586	262	1	2	CARDINAL
ejpam-5586	262	2	ν	NORP
ejpam-5586	263	1	σ)−hκ(ρ	GPE
ejpam-5586	263	2	σ	ORG
ejpam-5586	264	1	4	CARDINAL
ejpam-5586	265	1	m.h.m rashid	ORG
ejpam-5586	267	1	j. pure	PERSON
ejpam-5586	267	2	18	CARDINAL
ejpam-5586	267	3	1	CARDINAL
ejpam-5586	267	4	2025	CARDINAL
ejpam-5586	267	5	5586 10	DATE
ejpam-5586	267	6	21	CARDINAL
ejpam-5586	267	7	5	CARDINAL
ejpam-5586	268	1	0	CARDINAL
ejpam-5586	268	2	0 ≤ ν	MONEY
ejpam-5586	269	1	ν	NORP
ejpam-5586	270	1	σ)−hκ(ρ	GPE
ejpam-5586	272	1	2	CARDINAL
ejpam-5586	272	2	σ	ORG
ejpam-5586	273	1	2	CARDINAL
ejpam-5586	273	2	23	CARDINAL
ejpam-5586	273	3	ν	NORP
ejpam-5586	273	4	1− ν	MONEY
ejpam-5586	273	5	ρ σ	PERSON
ejpam-5586	273	6	1− 2r	CARDINAL
ejpam-5586	274	1	4	CARDINAL
ejpam-5586	274	2	c∗-algebra	ORG
ejpam-5586	274	3	0	CARDINAL
ejpam-5586	275	1	two	CARDINAL
ejpam-5586	275	2	b(h	GPE
ejpam-5586	275	3	0	CARDINAL
ejpam-5586	275	4	1	CARDINAL
ejpam-5586	276	1	1−	ORDINAL
ejpam-5586	277	1	1 2	CARDINAL
ejpam-5586	277	2	1	CARDINAL
ejpam-5586	277	3	1 2	CARDINAL
ejpam-5586	278	1	1 2	CARDINAL
ejpam-5586	279	1	∈	ORG
ejpam-5586	280	1	0	CARDINAL
ejpam-5586	280	2	1	CARDINAL
ejpam-5586	283	1	∈	ORG
ejpam-5586	284	1	0	CARDINAL
ejpam-5586	284	2	1	CARDINAL
ejpam-5586	286	1	4	CARDINAL
ejpam-5586	287	1	7	CARDINAL
ejpam-5586	288	1	g(t	NORP
ejpam-5586	288	2	∈	ORG
ejpam-5586	288	3	g(t	NORP
ejpam-5586	289	1	21	CARDINAL
ejpam-5586	290	1	lemma 4	ORG
ejpam-5586	291	1	m.h.m rashid	ORG
ejpam-5586	293	1	j. pure	PERSON
ejpam-5586	293	2	18	CARDINAL
ejpam-5586	293	3	1	CARDINAL
ejpam-5586	293	4	2025	CARDINAL
ejpam-5586	293	5	5586 11	DATE
ejpam-5586	293	6	21	CARDINAL
ejpam-5586	293	7	6	DATE
ejpam-5586	294	1	0 ≤ ν	MONEY
ejpam-5586	295	1	m′ andm	PERSON
ejpam-5586	295	2	0	CARDINAL
ejpam-5586	297	1	2	CARDINAL
ejpam-5586	299	1	2	CARDINAL
ejpam-5586	299	2	ν	NORP
ejpam-5586	300	1	24	CARDINAL
ejpam-5586	301	1	ν	NORP
ejpam-5586	301	2	1− ν	MONEY
ejpam-5586	302	1	1− 2r	CARDINAL
ejpam-5586	304	1	0 ≤ ν	MONEY
ejpam-5586	304	2	21	CARDINAL
ejpam-5586	306	1	1	CARDINAL
ejpam-5586	307	1	2	CARDINAL
ejpam-5586	307	2	ν	NORP
ejpam-5586	308	1	x)−hκ(1	ORG
ejpam-5586	308	2	first	ORDINAL
ejpam-5586	310	1	m′ i.	PERSON
ejpam-5586	310	2	σ(x	ORG
ejpam-5586	310	3	⊆	CARDINAL
ejpam-5586	310	4	h′	ORG
ejpam-5586	310	5	⊆	CARDINAL
ejpam-5586	310	6	1,∞	CARDINAL
ejpam-5586	311	1	4	CARDINAL
ejpam-5586	314	1	2	CARDINAL
ejpam-5586	315	1	ν	NORP
ejpam-5586	316	1	2	CARDINAL
ejpam-5586	317	1	1+t)2	CARDINAL
ejpam-5586	317	2	4	CARDINAL
ejpam-5586	320	1	2	CARDINAL
ejpam-5586	322	1	ν	NORP
ejpam-5586	322	2	−1/2st−1/2)−hκ(i	ORG
ejpam-5586	322	3	t	GPE
ejpam-5586	322	4	25	CARDINAL
ejpam-5586	322	5	second	ORDINAL
ejpam-5586	323	1	i.	PERSON
ejpam-5586	323	2	4	CARDINAL
ejpam-5586	326	1	1	CARDINAL
ejpam-5586	326	2	2	CARDINAL
ejpam-5586	327	1	ν	NORP
ejpam-5586	328	1	2	CARDINAL
ejpam-5586	328	2	1+t)2	CARDINAL
ejpam-5586	328	3	4	CARDINAL
ejpam-5586	330	1	1	CARDINAL
ejpam-5586	331	1	2	CARDINAL
ejpam-5586	334	1	j. pure	PERSON
ejpam-5586	334	2	18	CARDINAL
ejpam-5586	334	3	1	CARDINAL
ejpam-5586	334	4	2025	CARDINAL
ejpam-5586	334	5	5586 12	CARDINAL
ejpam-5586	334	6	21	CARDINAL
ejpam-5586	334	7	ν	NORP
ejpam-5586	334	8	−1/2st−1/2)−hκ(i	ORG
ejpam-5586	334	9	t	GPE
ejpam-5586	334	10	25	CARDINAL
ejpam-5586	334	11	26	CARDINAL
ejpam-5586	334	12	1/2	CARDINAL
ejpam-5586	334	13	24	CARDINAL
ejpam-5586	335	1	7	CARDINAL
ejpam-5586	337	1	0 ≤ ν	MONEY
ejpam-5586	338	1	0	CARDINAL
ejpam-5586	338	2	ν	NORP
ejpam-5586	340	1	2	CARDINAL
ejpam-5586	341	1	2	CARDINAL
ejpam-5586	341	2	26	CARDINAL
ejpam-5586	342	1	ν	NORP
ejpam-5586	342	2	1− ν	MONEY
ejpam-5586	342	3	1− 2r	CARDINAL
ejpam-5586	344	1	6	CARDINAL
ejpam-5586	345	1	3	CARDINAL
ejpam-5586	346	1	6	CARDINAL
ejpam-5586	346	2	7	CARDINAL
ejpam-5586	346	3	13	CARDINAL
ejpam-5586	346	4	14	CARDINAL
ejpam-5586	346	5	18	CARDINAL
ejpam-5586	346	6	20	CARDINAL
ejpam-5586	346	7	23	CARDINAL
ejpam-5586	347	1	5	CARDINAL
ejpam-5586	348	1	1	CARDINAL
ejpam-5586	349	1	1	CARDINAL
ejpam-5586	351	1	27	CARDINAL
ejpam-5586	351	2	n lemma 5	ORG
ejpam-5586	352	1	0	CARDINAL
ejpam-5586	352	2	1	CARDINAL
ejpam-5586	352	3	1	CARDINAL
ejpam-5586	353	1	1	CARDINAL
ejpam-5586	353	2	2	CARDINAL
ejpam-5586	353	3	2	CARDINAL
ejpam-5586	353	4	2 ≤	MONEY
ejpam-5586	354	1	1 (	CARDINAL
ejpam-5586	354	2	1	CARDINAL
ejpam-5586	355	1	m.h.m rashid	ORG
ejpam-5586	357	1	j. pure	PERSON
ejpam-5586	357	2	18	CARDINAL
ejpam-5586	357	3	1	CARDINAL
ejpam-5586	357	4	2025	CARDINAL
ejpam-5586	357	5	5586 13	DATE
ejpam-5586	357	6	21	CARDINAL
ejpam-5586	357	7	6	CARDINAL
ejpam-5586	359	1	1	CARDINAL
ejpam-5586	363	1	8	CARDINAL
ejpam-5586	364	1	1	CARDINAL
ejpam-5586	365	1	1	CARDINAL
ejpam-5586	365	2	1	CARDINAL
ejpam-5586	365	3	1	CARDINAL
ejpam-5586	366	1	+ tr(sr	DATE
ejpam-5586	367	1	2	CARDINAL
ejpam-5586	368	1	2	CARDINAL
ejpam-5586	368	2	2	DATE
ejpam-5586	368	3	29	CARDINAL
ejpam-5586	368	4	1	CARDINAL
ejpam-5586	370	1	29	CARDINAL
ejpam-5586	374	1	smj	GPE
ejpam-5586	374	2	smj	PERSON
ejpam-5586	376	1	2	CARDINAL
ejpam-5586	376	2	smj	ORG
ejpam-5586	376	3	smj	PERSON
ejpam-5586	377	1	smj	ORG
ejpam-5586	378	1	2s	CARDINAL
ejpam-5586	378	2	2 j	PERSON
ejpam-5586	378	3	n.	PERSON
ejpam-5586	378	4	6	CARDINAL
ejpam-5586	382	1	smj	PERSON
ejpam-5586	382	2		GPE
ejpam-5586	382	3	smj	PERSON
ejpam-5586	383	1	2	CARDINAL
ejpam-5586	383	2	2 j	PERSON
ejpam-5586	384	1		GPE
ejpam-5586	384	2	smj	PERSON
ejpam-5586	385	1	2	CARDINAL
ejpam-5586	385	2	2 j	PERSON
ejpam-5586	385	3	∣∣∣)m	CARDINAL
ejpam-5586	388	1	j. pure	PERSON
ejpam-5586	388	2	18	CARDINAL
ejpam-5586	388	3	1	CARDINAL
ejpam-5586	388	4	2025	CARDINAL
ejpam-5586	388	5	5586 14	DATE
ejpam-5586	388	6	21	CARDINAL
ejpam-5586	388	7	2	CARDINAL
ejpam-5586	388	8		GPE
ejpam-5586	388	9	2	CARDINAL
ejpam-5586	389	1		GPE
ejpam-5586	389	2	2 	CARDINAL
ejpam-5586	389	3	∣∣∣)m	CARDINAL
ejpam-5586	390	1	2	CARDINAL
ejpam-5586	391	1	2	CARDINAL
ejpam-5586	391	2	2	CARDINAL
ejpam-5586	391	3	4	CARDINAL
ejpam-5586	391	4	ando	ORG
ejpam-5586	391	5	27	CARDINAL
ejpam-5586	391	6	1−	LANGUAGE
ejpam-5586	392	1	30	CARDINAL
ejpam-5586	392	2	8	CARDINAL
ejpam-5586	394	1	2 1	DATE
ejpam-5586	394	2	2 ≤	MONEY
ejpam-5586	394	3	1	CARDINAL
ejpam-5586	394	4	9	CARDINAL
ejpam-5586	395	1	1	CARDINAL
ejpam-5586	395	2	1	CARDINAL
ejpam-5586	395	3	1	CARDINAL
ejpam-5586	395	4	1	CARDINAL
ejpam-5586	398	1	2s	CARDINAL
ejpam-5586	398	2	2	CARDINAL
ejpam-5586	398	3	1	CARDINAL
ejpam-5586	398	4	1 2	CARDINAL
ejpam-5586	398	5	2	CARDINAL
ejpam-5586	398	6	2	CARDINAL
ejpam-5586	398	7	32	CARDINAL
ejpam-5586	398	8	1	CARDINAL
ejpam-5586	400	1	28	CARDINAL
ejpam-5586	401	1	2	CARDINAL
ejpam-5586	401	2	2	CARDINAL
ejpam-5586	401	3	1	CARDINAL
ejpam-5586	401	4	1 2	CARDINAL
ejpam-5586	402	1	1	CARDINAL
ejpam-5586	402	2	1	CARDINAL
ejpam-5586	402	3	n. det	PERSON
ejpam-5586	402	4	1	CARDINAL
ejpam-5586	402	5	2ts−	CARDINAL
ejpam-5586	402	6	2	CARDINAL
ejpam-5586	402	7	1	CARDINAL
ejpam-5586	402	8	2	CARDINAL
ejpam-5586	402	9	2 + 1	QUANTITY
ejpam-5586	403	1	1	CARDINAL
ejpam-5586	403	2	1 2	CARDINAL
ejpam-5586	404	1	1	CARDINAL
ejpam-5586	404	2	1	CARDINAL
ejpam-5586	404	3	2	CARDINAL
ejpam-5586	404	4	1	CARDINAL
ejpam-5586	404	5	1	CARDINAL
ejpam-5586	404	6	1 2	CARDINAL
ejpam-5586	405	1	0	CARDINAL
ejpam-5586	405	2	1	CARDINAL
ejpam-5586	405	3	2	CARDINAL
ejpam-5586	405	4	1	CARDINAL
ejpam-5586	405	5	1 2	CARDINAL
ejpam-5586	406	1	1	CARDINAL
ejpam-5586	406	2	1 2	CARDINAL
ejpam-5586	406	3	2	CARDINAL
ejpam-5586	406	4	2	CARDINAL
ejpam-5586	407	1	m.h.m rashid	ORG
ejpam-5586	409	1	j. pure	PERSON
ejpam-5586	409	2	18	CARDINAL
ejpam-5586	409	3	1	CARDINAL
ejpam-5586	409	4	2025	CARDINAL
ejpam-5586	409	5	5586 15	CARDINAL
ejpam-5586	411	1	2s	CARDINAL
ejpam-5586	411	2	2	CARDINAL
ejpam-5586	411	3	1	CARDINAL
ejpam-5586	411	4	1 2	CARDINAL
ejpam-5586	411	5	2	CARDINAL
ejpam-5586	411	6	2	CARDINAL
ejpam-5586	412	1	10	CARDINAL
ejpam-5586	413	1	1	CARDINAL
ejpam-5586	413	2	1	CARDINAL
ejpam-5586	414	1	1	CARDINAL
ejpam-5586	414	2	1	CARDINAL
ejpam-5586	414	3	1 pxs 1 q	QUANTITY
ejpam-5586	414	4	2	CARDINAL
ejpam-5586	414	5	2	CARDINAL
ejpam-5586	414	6	2 ≤	MONEY
ejpam-5586	414	7	1	CARDINAL
ejpam-5586	414	8	33	CARDINAL
ejpam-5586	414	9	1	CARDINAL
ejpam-5586	415	1	10	CARDINAL
ejpam-5586	416	1	7	CARDINAL
ejpam-5586	416	2	9	CARDINAL
ejpam-5586	417	1	0 ≤	QUANTITY
ejpam-5586	419	1	34	CARDINAL
ejpam-5586	419	2	∣∣∣t	GPE
ejpam-5586	419	3	∣∣∣ ≤	MONEY
ejpam-5586	420	1	35	CARDINAL
ejpam-5586	421	1	10	CARDINAL
ejpam-5586	421	2	1	CARDINAL
ejpam-5586	421	3	2	CARDINAL
ejpam-5586	421	4	2	CARDINAL
ejpam-5586	421	5	2 ≤	QUANTITY
ejpam-5586	421	6	1	CARDINAL
ejpam-5586	421	7	1	CARDINAL
ejpam-5586	421	8	2	CARDINAL
ejpam-5586	421	9	2	CARDINAL
ejpam-5586	421	10	2	CARDINAL
ejpam-5586	421	11	lemma 7	ORG
ejpam-5586	421	12	1	CARDINAL
ejpam-5586	421	13	28	CARDINAL
ejpam-5586	422	1	8	CARDINAL
ejpam-5586	422	2	3	CARDINAL
ejpam-5586	423	1	ωn	CARDINAL
ejpam-5586	423	2	i=1 ϑi =	PERSON
ejpam-5586	423	3	1	CARDINAL
ejpam-5586	424	1	k=1 ωϑk	PERSON
ejpam-5586	426	1	k=1 ωk	PERSON
ejpam-5586	427	1	36	CARDINAL
ejpam-5586	427	2	{ϑk	PERSON
ejpam-5586	427	3	1	CARDINAL
ejpam-5586	428	1	m.h.m rashid	ORG
ejpam-5586	430	1	j. pure	PERSON
ejpam-5586	430	2	18	CARDINAL
ejpam-5586	430	3	1	CARDINAL
ejpam-5586	430	4	2025	CARDINAL
ejpam-5586	430	5	5586 16	CARDINAL
ejpam-5586	430	6	21	CARDINAL
ejpam-5586	430	7	11	DATE
ejpam-5586	432	1	1	CARDINAL
ejpam-5586	433	1	0 ≤ ϑi ≤ 1	QUANTITY
ejpam-5586	433	2	1	CARDINAL
ejpam-5586	433	3	i=1 ϑi = 1	PERSON
ejpam-5586	433	4	n∑ k=1	PERSON
ejpam-5586	434	1	k=1 t	PERSON
ejpam-5586	436	1	n∑ k=1	PERSON
ejpam-5586	437	1	k=1 tr(tk	PERSON
ejpam-5586	438	1	37	CARDINAL
ejpam-5586	438	2	{ϑk	PERSON
ejpam-5586	438	3	1	CARDINAL
ejpam-5586	440	1	36	CARDINAL
ejpam-5586	440	2	n∑ k=1 ϑksj(tk	PERSON
ejpam-5586	441	1	k=1 sj(tk	PERSON
ejpam-5586	443	1	n∑ k=1 sj(tk)− n	PERSON
ejpam-5586	443	2	k=1 sj(tk	PERSON
ejpam-5586	444	1	n.	PERSON
ejpam-5586	444	2	6	CARDINAL
ejpam-5586	444	3	n∑ k=1 ϑktk	PERSON
ejpam-5586	445	1	n∑ k=1 ϑktr(tk	PERSON
ejpam-5586	446	1	n∑ k=1	PERSON
ejpam-5586	450	1	n∑ k=1 ϑksj(tk	PERSON
ejpam-5586	451	1	1	CARDINAL
ejpam-5586	451	2	ϑn k	PERSON
ejpam-5586	452	1	 n∑	ORG
ejpam-5586	453	1	n∑ k=1	PERSON
ejpam-5586	454	1	k=1 sj(tn	PERSON
ejpam-5586	455	1	1	CARDINAL
ejpam-5586	455	2	t ϑn n	FAC
ejpam-5586	456	1	 n∑	ORG
ejpam-5586	457	1	n∑ k=1	PERSON
ejpam-5586	458	1	k=1 n∑	PERSON
ejpam-5586	461	1	1	CARDINAL
ejpam-5586	461	2	n∑ k=1	PERSON
ejpam-5586	461	3	k=1 tr(tk	PERSON
ejpam-5586	462	1	{ϑk	PERSON
ejpam-5586	462	2	1	CARDINAL
ejpam-5586	463	1	11	CARDINAL
ejpam-5586	465	1	k=1 ϑktk	PERSON
ejpam-5586	465	2	1	CARDINAL
ejpam-5586	467	1	k=1 t ϑk	PERSON
ejpam-5586	470	1	1 − n n	QUANTITY
ejpam-5586	472	1	38	CARDINAL
ejpam-5586	472	2	{ϑk	PERSON
ejpam-5586	472	3	1	CARDINAL
ejpam-5586	473	1	m.h.m rashid	ORG
ejpam-5586	475	1	j. pure	PERSON
ejpam-5586	475	2	18	CARDINAL
ejpam-5586	475	3	1	CARDINAL
ejpam-5586	475	4	2025	CARDINAL
ejpam-5586	475	5	5586 17	DATE
ejpam-5586	475	6	21	CARDINAL
ejpam-5586	475	7	12	CARDINAL
ejpam-5586	477	1	1	CARDINAL
ejpam-5586	478	1	0 ≤ ϑi ≤ 1	QUANTITY
ejpam-5586	478	2	1	CARDINAL
ejpam-5586	478	3	i=1 ϑi = 1	PERSON
ejpam-5586	478	4	n∑ k=1 ϑktk	PERSON
ejpam-5586	478	5	k=1 det	PERSON
ejpam-5586	479	1	n∑ k=1 tk	PERSON
ejpam-5586	479	2	k=1 det(tk	PERSON
ejpam-5586	480	1	39	CARDINAL
ejpam-5586	480	2	{ϑk	PERSON
ejpam-5586	480	3	1	CARDINAL
ejpam-5586	481	1	12	CARDINAL
ejpam-5586	482	1	9	CARDINAL
ejpam-5586	482	2	5	CARDINAL
ejpam-5586	484	1	1	CARDINAL
ejpam-5586	484	2	1	CARDINAL
ejpam-5586	485	1	40	CARDINAL
ejpam-5586	486	1	12	CARDINAL
ejpam-5586	486	2	det	PERSON
ejpam-5586	486	3	n∑ k=1 ϑktk	PERSON
ejpam-5586	486	4	det	PERSON
ejpam-5586	486	5	n∑ k=1 ϑktk	PERSON
ejpam-5586	486	6	1 n n ≥	DATE
ejpam-5586	486	7	n∑ k=1 det	PERSON
ejpam-5586	486	8	ϑktk	PERSON
ejpam-5586	486	9	1 n ]n	QUANTITY
ejpam-5586	486	10	9	CARDINAL
ejpam-5586	487	1	n∑ k=1 ϑk det	PERSON
ejpam-5586	487	2	1 n ]n	QUANTITY
ejpam-5586	487	3	k=1	PERSON
ejpam-5586	487	4	1 n	QUANTITY
ejpam-5586	487	5	1 n − n	QUANTITY
ejpam-5586	490	1	k=1 det	PERSON
ejpam-5586	491	1		GPE
ejpam-5586	491	2	1 n − n	QUANTITY
ejpam-5586	491	3	k=1 tk	PERSON
ejpam-5586	492	1	10	CARDINAL
ejpam-5586	492	2	16	CARDINAL
ejpam-5586	493	1	j∑ k=1	PERSON
ejpam-5586	495	1	1	CARDINAL
ejpam-5586	495	2	n∑ k=1	PERSON
ejpam-5586	496	1	1	CARDINAL
ejpam-5586	496	2	n∑ k=1	PERSON
ejpam-5586	496	3	2	CARDINAL
ejpam-5586	496	4	k=1	PERSON
ejpam-5586	497	1	1	CARDINAL
ejpam-5586	497	2	41	CARDINAL
ejpam-5586	498	1	m.h.m rashid	ORG
ejpam-5586	500	1	j. pure	PERSON
ejpam-5586	500	2	18	CARDINAL
ejpam-5586	500	3	1	CARDINAL
ejpam-5586	500	4	2025	CARDINAL
ejpam-5586	500	5	5586 18	DATE
ejpam-5586	500	6	21	CARDINAL
ejpam-5586	500	7	13	CARDINAL
ejpam-5586	502	1	1	CARDINAL
ejpam-5586	504	1	1	CARDINAL
ejpam-5586	504	2	n∑ k=1 tr(tk	PERSON
ejpam-5586	504	3	2	CARDINAL
ejpam-5586	505	1	2 k	QUANTITY
ejpam-5586	506	1	1	CARDINAL
ejpam-5586	507	1	42	CARDINAL
ejpam-5586	508	1	41	CARDINAL
ejpam-5586	508	2	1	CARDINAL
ejpam-5586	508	3	n∑ k=1	PERSON
ejpam-5586	509	1	1	CARDINAL
ejpam-5586	509	2	n∑ k=1 γksj(tk	PERSON
ejpam-5586	509	3	2	CARDINAL
ejpam-5586	509	4	k=1	PERSON
ejpam-5586	510	1	1	CARDINAL
ejpam-5586	510	2	1	CARDINAL
ejpam-5586	511	1	n∑ k=1	PERSON
ejpam-5586	513	1	+ √√√√√1 +  1	DATE
ejpam-5586	513	2	n∑ k=1	PERSON
ejpam-5586	516	1	tk) γk	ORG
ejpam-5586	516	2	1	CARDINAL
ejpam-5586	516	3	1	CARDINAL
ejpam-5586	516	4	n∑ k=1 γktk	PERSON
ejpam-5586	517	1	1	CARDINAL
ejpam-5586	517	2	n∑ k=1 γktr(tk	PERSON
ejpam-5586	517	3	2	CARDINAL
ejpam-5586	517	4	1	CARDINAL
ejpam-5586	517	5	n∑ k=1 γktr(tk	PERSON
ejpam-5586	517	6	1	CARDINAL
ejpam-5586	517	7	n∑ k=1 γktr(tk	PERSON
ejpam-5586	517	8	2	CARDINAL
ejpam-5586	517	9	k=1 tr(tk	PERSON
ejpam-5586	517	10	2 k	QUANTITY
ejpam-5586	517	11	1	CARDINAL
ejpam-5586	517	12	6	CARDINAL
ejpam-5586	518	1	0	CARDINAL
ejpam-5586	518	2	1	CARDINAL
ejpam-5586	520	1	m.h.m rashid	ORG
ejpam-5586	522	1	j. pure	PERSON
ejpam-5586	522	2	18	CARDINAL
ejpam-5586	522	3	1	CARDINAL
ejpam-5586	522	4	2025	CARDINAL
ejpam-5586	522	5	5586 19	DATE
ejpam-5586	528	1	firstly	ORDINAL
ejpam-5586	532	1	•	CARDINAL
ejpam-5586	532	2	•	CARDINAL
ejpam-5586	534	1	1	CARDINAL
ejpam-5586	535	1	75:33–38, 1995	DATE
ejpam-5586	536	1	2	CARDINAL
ejpam-5586	536	2	rajendra bhatia	PERSON
ejpam-5586	538	1	2006	DATE
ejpam-5586	539	1	11th	ORDINAL
ejpam-5586	539	2	2004	DATE
ejpam-5586	540	1	3	CARDINAL
ejpam-5586	542	1	5	CARDINAL
ejpam-5586	542	2	01 2010	DATE
ejpam-5586	543	1	m.h.m rashid	ORG
ejpam-5586	545	1	j. pure	PERSON
ejpam-5586	545	2	18	CARDINAL
ejpam-5586	545	3	1	CARDINAL
ejpam-5586	545	4	2025	CARDINAL
ejpam-5586	545	5	5586 20	CARDINAL
ejpam-5586	545	6	4	CARDINAL
ejpam-5586	545	7	hideki kosaki	PERSON
ejpam-5586	547	1	indiana university mathematics journal	ORG
ejpam-5586	547	2	48:899–936	CARDINAL
ejpam-5586	547	3	1999	DATE
ejpam-5586	548	1	5	CARDINAL
ejpam-5586	548	2	horn	GPE
ejpam-5586	548	3	c.r johnson	PERSON
ejpam-5586	549	1	cambridge univ.	ORG
ejpam-5586	550	1	new york	GPE
ejpam-5586	550	2	1985	DATE
ejpam-5586	551	1	6	CARDINAL
ejpam-5586	551	2	horn	GPE
ejpam-5586	551	3	c.r johnson	PERSON
ejpam-5586	553	1	cambridge	GPE
ejpam-5586	554	1	new york	GPE
ejpam-5586	554	2	1990	DATE
ejpam-5586	555	1	7	CARDINAL
ejpam-5586	555	2	j. míscísc hot j.pemcarísc	PERSON
ejpam-5586	557	1	2005	DATE
ejpam-5586	558	1	8	CARDINAL
ejpam-5586	558	2	rupinderjit kaur	PERSON
ejpam-5586	558	3	mandeep singh	PERSON
ejpam-5586	560	1	16	CARDINAL
ejpam-5586	560	2	12 2011	DATE
ejpam-5586	561	1	9	CARDINAL
ejpam-5586	561	2	fuad kittaneh	PERSON
ejpam-5586	563	1	27:279–285, 1993	DATE
ejpam-5586	564	1	10	CARDINAL
ejpam-5586	564	2	fuad kittaneh	PERSON
ejpam-5586	564	3	yousef manasrah	PERSON
ejpam-5586	566	1	361(1):262–269	PRODUCT
ejpam-5586	566	2	2010	DATE
ejpam-5586	567	1	11	CARDINAL
ejpam-5586	567	2	guanghua shi	PERSON
ejpam-5586	567	3	fujii	GPE
ejpam-5586	569	1	551–556, 2011	DATE
ejpam-5586	570	1	12	CARDINAL
ejpam-5586	570	2	wenshi liao	PERSON
ejpam-5586	570	3	junliang wu	PERSON
ejpam-5586	570	4	jianguo zhao	PERSON
ejpam-5586	572	1	taiwanese	NORP
ejpam-5586	572	2	19(2):467	CARDINAL
ejpam-5586	572	3	479	CARDINAL
ejpam-5586	572	4	2015	DATE
ejpam-5586	573	1	13	CARDINAL
ejpam-5586	573	2	m.h.m.rashid	PERSON
ejpam-5586	574	1	matematicki vesnik	PERSON
ejpam-5586	574	2	74(3):163–173	CARDINAL
ejpam-5586	574	3	2022	CARDINAL
ejpam-5586	575	1	14	CARDINAL
ejpam-5586	575	2	m.h.m.rashid	PERSON
ejpam-5586	577	1	hacettepe journal of mathematics & statistics	ORG
ejpam-5586	577	2	51(5):1371–1378	CARDINAL
ejpam-5586	577	3	2022	CARDINAL
ejpam-5586	578	1	15	CARDINAL
ejpam-5586	578	2	mahmood shakoori	PERSON
ejpam-5586	580	1	12:201–205	CARDINAL
ejpam-5586	580	2	03 2016	DATE
ejpam-5586	581	1	16	CARDINAL
ejpam-5586	581	2	zlatko pavić.	PERSON
ejpam-5586	582	1	01 2015	DATE
ejpam-5586	583	1	17	CARDINAL
ejpam-5586	583	2	mohammad h. m. rashid	PERSON
ejpam-5586	583	3	feras bani-ahmad	PERSON
ejpam-5586	585	1	11(1):20220180	DATE
ejpam-5586	585	2	2023	CARDINAL
ejpam-5586	586	1	18	CARDINAL
ejpam-5586	586	2	a. salemi	PERSON
ejpam-5586	586	3	a. sheikh hosseini	PERSON
ejpam-5586	588	1	76, 2014	DATE
ejpam-5586	589	1	19	CARDINAL
ejpam-5586	589	2	j. wu	PERSON
ejpam-5586	589	3	j. zhao	PERSON
ejpam-5586	591	1	linear	ORG
ejpam-5586	591	2	multilinear	CARDINAL
ejpam-5586	591	3	62(7):884–894	CARDINAL
ejpam-5586	591	4	2014	DATE
ejpam-5586	592	1	20	CARDINAL
ejpam-5586	592	2	changsen yang	PERSON
ejpam-5586	592	3	yu li	PERSON
ejpam-5586	593	1	401–419	CARDINAL
ejpam-5586	593	2	01 2020	DATE
ejpam-5586	594	1	21	CARDINAL
ejpam-5586	594	2	x. zhan	PERSON
ejpam-5586	594	3	1790	DATE
ejpam-5586	595	1	new york	GPE
ejpam-5586	595	2	2002	DATE
ejpam-5586	596	1	22	CARDINAL
ejpam-5586	596	2	jie zhang	PERSON
ejpam-5586	596	3	junliang wu	PERSON
ejpam-5586	598	1	2017	DATE
ejpam-5586	598	2	04 2017	CARDINAL
ejpam-5586	599	1	23	CARDINAL
ejpam-5586	599	2	jianguo zhao	PERSON
ejpam-5586	599	3	junliang wu	PERSON
ejpam-5586	602	1	j. pure	PERSON
ejpam-5586	602	2	18	CARDINAL
ejpam-5586	602	3	1	CARDINAL
ejpam-5586	602	4	2025	CARDINAL
ejpam-5586	602	5	5586 21 of 21	DATE
ejpam-5586	603	1	2015	DATE