id	sid	eid	entity	type
ejpam-7033	1	1	european journal	ORG
ejpam-7033	1	2	2025	DATE
ejpam-7033	1	3	18	CARDINAL
ejpam-7033	1	4	4	CARDINAL
ejpam-7033	1	5	1307-5543	DATE
ejpam-7033	1	6	new york	GPE
ejpam-7033	1	7	muhammad nazam2	PERSON
ejpam-7033	1	8	hijaz	PERSON
ejpam-7033	1	9	ibrahim alraddadi3,∗	PERSON
ejpam-7033	1	10	xu6	GPE
ejpam-7033	1	11	waleed mohammed	PERSON
ejpam-7033	1	12	1	CARDINAL
ejpam-7033	1	13	lahore	GPE
ejpam-7033	1	14	pakistan 2	ORG
ejpam-7033	1	15	allama iqbal	PERSON
ejpam-7033	1	16	islamabad	GPE
ejpam-7033	1	17	pakistan 3	ORG
ejpam-7033	1	18	islamic university	ORG
ejpam-7033	1	19	madinah	PERSON
ejpam-7033	1	20	saudi arabia	GPE
ejpam-7033	1	21	4	CARDINAL
ejpam-7033	1	22	east university	ORG
ejpam-7033	1	23	mersin 10	GPE
ejpam-7033	1	24	nicosia	GPE
ejpam-7033	1	25	99138	DATE
ejpam-7033	1	26	5	CARDINAL
ejpam-7033	1	27	korea university	ORG
ejpam-7033	1	28	145	CARDINAL
ejpam-7033	1	29	02841	DATE
ejpam-7033	1	30	south korea	GPE
ejpam-7033	1	31	6	CARDINAL
ejpam-7033	1	32	guizhou key laboratory of economics system simulation	ORG
ejpam-7033	1	33	guizhou university of finance	ORG
ejpam-7033	1	34	guiyang	GPE
ejpam-7033	1	35	china 7 college of engineering	ORG
ejpam-7033	1	36	university of business and technology	ORG
ejpam-7033	1	37	jeddah 23435	GPE
ejpam-7033	1	38	saudi arabia	GPE
ejpam-7033	1	39	8	CARDINAL
ejpam-7033	1	40	zagazig university	ORG
ejpam-7033	1	41	44519	DATE
ejpam-7033	1	42	egypt	GPE
ejpam-7033	1	43	9	CARDINAL
ejpam-7033	1	44	jadara university research center	ORG
ejpam-7033	1	45	jadara university	ORG
ejpam-7033	1	46	jordan	PERSON
ejpam-7033	4	1	2	CARDINAL
ejpam-7033	6	1	3	CARDINAL
ejpam-7033	8	1	2020	DATE
ejpam-7033	8	2	47h09	CARDINAL
ejpam-7033	8	3	47h10	CARDINAL
ejpam-7033	8	4	54h25	CARDINAL
ejpam-7033	10	1	a. arif	PERSON
ejpam-7033	10	2	m. nazam	PERSON
ejpam-7033	10	3	hijazahmad@korea.ac.kr	CARDINAL
ejpam-7033	10	4	h. ahmad	PERSON
ejpam-7033	10	5	ialraddadi@iu.edu.sa	PERSON
ejpam-7033	10	6	i. alraddadi	PERSON
ejpam-7033	10	7	c. xu	PERSON
ejpam-7033	10	8	w. m. abdelfattah	PERSON
ejpam-7033	11	1	1	CARDINAL
ejpam-7033	11	2	2025	CARDINAL
ejpam-7033	12	1	a. arif et al	PERSON
ejpam-7033	13	1	j. pure	PERSON
ejpam-7033	13	2	18	CARDINAL
ejpam-7033	13	3	4	CARDINAL
ejpam-7033	13	4	2025	CARDINAL
ejpam-7033	13	5	7033 2	DATE
ejpam-7033	13	6	29 1	DATE
ejpam-7033	14	1	4	CARDINAL
ejpam-7033	15	1	5	CARDINAL
ejpam-7033	16	1	6	CARDINAL
ejpam-7033	18	1	1	CARDINAL
ejpam-7033	20	1	8	CARDINAL
ejpam-7033	21	1	10	CARDINAL
ejpam-7033	21	2	11	CARDINAL
ejpam-7033	22	1	12	CARDINAL
ejpam-7033	23	1	altun	PERSON
ejpam-7033	23	2	4	CARDINAL
ejpam-7033	23	3	14	CARDINAL
ejpam-7033	25	1	15	CARDINAL
ejpam-7033	25	2	nadler	ORG
ejpam-7033	26	1	16	CARDINAL
ejpam-7033	27	1	al	ORG
ejpam-7033	28	1	17	CARDINAL
ejpam-7033	29	1	hammad	PERSON
ejpam-7033	29	2	al	GPE
ejpam-7033	30	1	18	CARDINAL
ejpam-7033	30	2	19	CARDINAL
ejpam-7033	31	1	huang	PERSON
ejpam-7033	32	1	21	CARDINAL
ejpam-7033	32	2	kannan	GPE
ejpam-7033	33	1	21	CARDINAL
ejpam-7033	34	1	22	CARDINAL
ejpam-7033	35	1	23	CARDINAL
ejpam-7033	35	2	hussain	PERSON
ejpam-7033	36	1	24	CARDINAL
ejpam-7033	37	1	huang	PERSON
ejpam-7033	37	2	xu	PERSON
ejpam-7033	38	1	25	CARDINAL
ejpam-7033	39	1	26	CARDINAL
ejpam-7033	40	1	23	CARDINAL
ejpam-7033	41	1	george	PERSON
ejpam-7033	42	1	2	CARDINAL
ejpam-7033	42	2	36	CARDINAL
ejpam-7033	43	1	•	CARDINAL
ejpam-7033	46	1	vim	ORG
ejpam-7033	48	1	a. arif et al	PERSON
ejpam-7033	49	1	j. pure	PERSON
ejpam-7033	49	2	18	CARDINAL
ejpam-7033	49	3	4	CARDINAL
ejpam-7033	49	4	2025	CARDINAL
ejpam-7033	49	5	7033 3	DATE
ejpam-7033	49	6	29	CARDINAL
ejpam-7033	49	7	37	CARDINAL
ejpam-7033	49	8	38	CARDINAL
ejpam-7033	51	1	8	CARDINAL
ejpam-7033	52	1	10	CARDINAL
ejpam-7033	52	2	11	CARDINAL
ejpam-7033	53	1	12	CARDINAL
ejpam-7033	55	1	aslo	PERSON
ejpam-7033	56	1	ercan	PERSON
ejpam-7033	56	2	3	CARDINAL
ejpam-7033	57	1	ercan	PERSON
ejpam-7033	57	2	linear	ORG
ejpam-7033	59	1	eight	CARDINAL
ejpam-7033	60	1	section 1	LAW
ejpam-7033	61	1	section 2	LAW
ejpam-7033	62	1	section 3	LAW
ejpam-7033	63	1	section 4	LAW
ejpam-7033	64	1	section 5	LAW
ejpam-7033	64	2	section 4	DATE
ejpam-7033	65	1	section 6	LAW
ejpam-7033	66	1	section 7	LAW
ejpam-7033	67	1	section 8	LAW
ejpam-7033	68	1	2	CARDINAL
ejpam-7033	70	1	1	CARDINAL
ejpam-7033	71	1	21	CARDINAL
ejpam-7033	71	2	⊆	CARDINAL
ejpam-7033	71	3	1	CARDINAL
ejpam-7033	72	1	2	CARDINAL
ejpam-7033	72	2	∈	ORG
ejpam-7033	72	3	0	CARDINAL
ejpam-7033	72	4	3	CARDINAL
ejpam-7033	72	5	0	CARDINAL
ejpam-7033	73	1	y ⇔	PERSON
ejpam-7033	77	1	⊆	CARDINAL
ejpam-7033	77	2	0	CARDINAL
ejpam-7033	77	3	0 ⪯ x ⪯	QUANTITY
ejpam-7033	77	4	y ⇒ ∥x∥	PERSON
ejpam-7033	77	5	⊆	CARDINAL
ejpam-7033	78	1	⊆	CARDINAL
ejpam-7033	79	1	a. arif et al	PERSON
ejpam-7033	80	1	j. pure	PERSON
ejpam-7033	80	2	18	CARDINAL
ejpam-7033	80	3	4	CARDINAL
ejpam-7033	80	4	2025	CARDINAL
ejpam-7033	80	5	7033 4	DATE
ejpam-7033	80	6	29	CARDINAL
ejpam-7033	80	7	2	CARDINAL
ejpam-7033	81	1	21	CARDINAL
ejpam-7033	81	2	7→	CARDINAL
ejpam-7033	81	3	0	CARDINAL
ejpam-7033	81	4	∀ ℓ	ORG
ejpam-7033	81	5	∈	ORG
ejpam-7033	82	1	∀ ℓ	ORG
ejpam-7033	82	2	dc	GPE
ejpam-7033	82	3	dc	GPE
ejpam-7033	83	1	1	CARDINAL
ejpam-7033	84	1	36	CARDINAL
ejpam-7033	87	1	dc	GPE
ejpam-7033	87	2	dc	GPE
ejpam-7033	88	1	3	CARDINAL
ejpam-7033	89	1	36	CARDINAL
ejpam-7033	89	2	dc	GPE
ejpam-7033	90	1	∈	ORG
ejpam-7033	90	2	1	CARDINAL
ejpam-7033	91	1	0	CARDINAL
ejpam-7033	91	2	1	CARDINAL
ejpam-7033	92	1	0	CARDINAL
ejpam-7033	93	1	2	CARDINAL
ejpam-7033	93	2	0 ⪯ x≪ ℓ	QUANTITY
ejpam-7033	93	3	0	CARDINAL
ejpam-7033	94	1	3	CARDINAL
ejpam-7033	94	2	4	CARDINAL
ejpam-7033	95	1	34	CARDINAL
ejpam-7033	95	2	7→	CARDINAL
ejpam-7033	95	3	0	CARDINAL
ejpam-7033	97	1	db3	ORG
ejpam-7033	97	2	1	CARDINAL
ejpam-7033	97	3	∀ p	ORG
ejpam-7033	100	1	2	CARDINAL
ejpam-7033	101	1	36	CARDINAL
ejpam-7033	101	2	1	CARDINAL
ejpam-7033	101	3	2	DATE
ejpam-7033	101	4	3	DATE
ejpam-7033	101	5	4	CARDINAL
ejpam-7033	104	1	6 5	DATE
ejpam-7033	104	2	2	CARDINAL
ejpam-7033	105	1	4	CARDINAL
ejpam-7033	105	2	2	CARDINAL
ejpam-7033	106	1	5	CARDINAL
ejpam-7033	107	1	34	CARDINAL
ejpam-7033	107	2	x×x 7→ e	LAW
ejpam-7033	107	3	∀ f1	PERSON
ejpam-7033	107	4	f2	ORG
ejpam-7033	107	5	0	CARDINAL
ejpam-7033	108	1	f2	ORG
ejpam-7033	108	2	0	CARDINAL
ejpam-7033	109	1	f1	PERSON
ejpam-7033	109	2	a. arif et al	PERSON
ejpam-7033	110	1	j. pure	PERSON
ejpam-7033	110	2	18	CARDINAL
ejpam-7033	110	3	4	CARDINAL
ejpam-7033	110	4	2025	CARDINAL
ejpam-7033	110	5	7033 5	DATE
ejpam-7033	110	6	29	CARDINAL
ejpam-7033	110	7	f4	CARDINAL
ejpam-7033	110	8	f1	PERSON
ejpam-7033	111	1	dr	PERSON
ejpam-7033	111	2	dr	PERSON
ejpam-7033	112	1	6	CARDINAL
ejpam-7033	114	1	7	CARDINAL
ejpam-7033	115	1	34	CARDINAL
ejpam-7033	115	2	7→	CARDINAL
ejpam-7033	115	3	∀ ℓ	ORG
ejpam-7033	115	4	drb1	ORG
ejpam-7033	115	5	0	CARDINAL
ejpam-7033	116	1	r(ℓ	GPE
ejpam-7033	116	2	drb2) r(ℓ	ORG
ejpam-7033	117	1	drb3) r(ℓ	ORG
ejpam-7033	117	2	x)+r(x	GPE
ejpam-7033	117	3	1	CARDINAL
ejpam-7033	120	1	3	CARDINAL
ejpam-7033	121	1	36	CARDINAL
ejpam-7033	122	1	0	CARDINAL
ejpam-7033	122	2	2	CARDINAL
ejpam-7033	124	1	yv	ORG
ejpam-7033	124	2	∥y∥	ORG
ejpam-7033	125	1	1	CARDINAL
ejpam-7033	125	2	1	CARDINAL
ejpam-7033	125	3	zero	CARDINAL
ejpam-7033	125	4	0	CARDINAL
ejpam-7033	125	5	0	DATE
ejpam-7033	127	1	ℓ(x	PERSON
ejpam-7033	128	1	r(ℓ	GPE
ejpam-7033	128	2	y)(x	PERSON
ejpam-7033	129	1	0	CARDINAL
ejpam-7033	129	2	0	DATE
ejpam-7033	129	3	dx2	GPE
ejpam-7033	130	1	0	CARDINAL
ejpam-7033	130	2	12	DATE
ejpam-7033	131	1	1	CARDINAL
ejpam-7033	131	2	n(n	NORP
ejpam-7033	131	3	2	CARDINAL
ejpam-7033	132	1	0	CARDINAL
ejpam-7033	132	2	12	DATE
ejpam-7033	132	3	1	CARDINAL
ejpam-7033	132	4	2	CARDINAL
ejpam-7033	132	5	y|2(a+ bx	PERSON
ejpam-7033	132	6	dx2	GPE
ejpam-7033	134	1	0	CARDINAL
ejpam-7033	134	2	12	CARDINAL
ejpam-7033	135	1	2	CARDINAL
ejpam-7033	136	1	8	CARDINAL
ejpam-7033	138	1	9	CARDINAL
ejpam-7033	139	1	36	CARDINAL
ejpam-7033	139	2	0	CARDINAL
ejpam-7033	139	3	ϵ(arbitrary	DATE
ejpam-7033	140	1	1	CARDINAL
ejpam-7033	140	2	k ∈ n	PERSON
ejpam-7033	141	1	2	CARDINAL
ejpam-7033	141	2	3	CARDINAL
ejpam-7033	141	3	x. a. arif et al	ORG
ejpam-7033	142	1	j. pure	PERSON
ejpam-7033	142	2	18	CARDINAL
ejpam-7033	142	3	4	CARDINAL
ejpam-7033	142	4	2025	CARDINAL
ejpam-7033	142	5	7033 6	DATE
ejpam-7033	142	6	29	CARDINAL
ejpam-7033	142	7	13	CARDINAL
ejpam-7033	142	8	10	CARDINAL
ejpam-7033	143	1	13	CARDINAL
ejpam-7033	143	2	t (d(lx	ORG
ejpam-7033	143	3	d(x	ORG
ejpam-7033	143	4	d(x	ORG
ejpam-7033	143	5	d(x	ORG
ejpam-7033	143	6	1	CARDINAL
ejpam-7033	147	1	1	CARDINAL
ejpam-7033	148	1	f2	ORG
ejpam-7033	148	2	f4	CARDINAL
ejpam-7033	148	3	max	PERSON
ejpam-7033	148	4	f2	ORG
ejpam-7033	148	5	f4	CARDINAL
ejpam-7033	148	6	1 2	CARDINAL
ejpam-7033	148	7	14	CARDINAL
ejpam-7033	149	1	f2	ORG
ejpam-7033	149	2	f4	CARDINAL
ejpam-7033	149	3	− kf2	PERSON
ejpam-7033	149	4	k ∈	PERSON
ejpam-7033	150	1	0	CARDINAL
ejpam-7033	150	2	1	CARDINAL
ejpam-7033	150	3	1	CARDINAL
ejpam-7033	150	4	4	CARDINAL
ejpam-7033	153	1	b(e	ORG
ejpam-7033	154	1	3	CARDINAL
ejpam-7033	154	2	8–11	CARDINAL
ejpam-7033	154	3	39	DATE
ejpam-7033	154	4	40	CARDINAL
ejpam-7033	154	5	11	CARDINAL
ejpam-7033	155	1	b(e	ORG
ejpam-7033	155	2	linear	ORG
ejpam-7033	156	1	1	CARDINAL
ejpam-7033	157	1	e6	ORG
ejpam-7033	157	2	r3	ORG
ejpam-7033	158	1	r3	ORG
ejpam-7033	159	1	j2	ORG
ejpam-7033	159	2	r2	GPE
ejpam-7033	159	3	0e	CARDINAL
ejpam-7033	159	4	0e	CARDINAL
ejpam-7033	159	5	∃ t ∈ b(e	ORG
ejpam-7033	159	6	r1 ⪯ 1	PRODUCT
ejpam-7033	159	7	r3 ⪯ 1	CARDINAL
ejpam-7033	159	8	∀ r1	ORG
ejpam-7033	159	9	r2 ∈	PERSON
ejpam-7033	159	10	1	CARDINAL
ejpam-7033	160	1	0e	CARDINAL
ejpam-7033	160	2	0e	CARDINAL
ejpam-7033	160	3	0	CARDINAL
ejpam-7033	160	4	1	CARDINAL
ejpam-7033	162	1	a. arif et al	PERSON
ejpam-7033	163	1	j. pure	PERSON
ejpam-7033	163	2	18	CARDINAL
ejpam-7033	163	3	4	CARDINAL
ejpam-7033	163	4	2025	CARDINAL
ejpam-7033	163	5	7	CARDINAL
ejpam-7033	163	6	29	CARDINAL
ejpam-7033	163	7	4	CARDINAL
ejpam-7033	163	8	1 to 6	CARDINAL
ejpam-7033	163	9	r3	ORG
ejpam-7033	164	1	j ∈	PERSON
ejpam-7033	166	1	r3	ORG
ejpam-7033	166	2	r2	GPE
ejpam-7033	166	3	r3	ORG
ejpam-7033	166	4	r3	ORG
ejpam-7033	166	5	r2	GPE
ejpam-7033	166	6	r3	ORG
ejpam-7033	168	1	α{γ1 +	DATE
ejpam-7033	169	1	r2	GPE
ejpam-7033	169	2	r3	ORG
ejpam-7033	169	3	r3	ORG
ejpam-7033	170	1	j2	ORG
ejpam-7033	172	1	0e	CARDINAL
ejpam-7033	172	2	0e	CARDINAL
ejpam-7033	172	3	0e ⪯ r3	MONEY
ejpam-7033	173	1	j	PERSON
ejpam-7033	173	2	s[r1 + r2 + r3	ORG
ejpam-7033	173	3	0e	CARDINAL
ejpam-7033	173	4	−s[r1	GPE
ejpam-7033	177	1	two	CARDINAL
ejpam-7033	177	2	∈	ORG
ejpam-7033	177	3	2	CARDINAL
ejpam-7033	177	4	1−	ORDINAL
ejpam-7033	177	5	3	CARDINAL
ejpam-7033	177	6	2	CARDINAL
ejpam-7033	177	7	0e	CARDINAL
ejpam-7033	178	1	1	CARDINAL
ejpam-7033	179	1	0e	CARDINAL
ejpam-7033	179	2	2	CARDINAL
ejpam-7033	179	3	r1 ⪯ α	PERSON
ejpam-7033	179	4	s−α−1)r2	NORP
ejpam-7033	180	1	∃	GPE
ejpam-7033	181	1	r1 ⪯ t (r2	ORG
ejpam-7033	181	2	1	CARDINAL
ejpam-7033	182	1	3	CARDINAL
ejpam-7033	182	2	0e	CARDINAL
ejpam-7033	184	1	r3	ORG
ejpam-7033	188	1	1	CARDINAL
ejpam-7033	189	1	0	CARDINAL
ejpam-7033	190	1	0e ⪯ j	MONEY
ejpam-7033	190	2	0e	CARDINAL
ejpam-7033	190	3	sr,0e	GPE
ejpam-7033	190	4	0	CARDINAL
ejpam-7033	190	5	5	CARDINAL
ejpam-7033	191	1	j ∗ 1	PERSON
ejpam-7033	191	2	r3	ORG
ejpam-7033	192	1	1 2	CARDINAL
ejpam-7033	193	1	j ∗ 2	PERSON
ejpam-7033	193	2	r3	ORG
ejpam-7033	194	1	1−	ORDINAL
ejpam-7033	194	2	14	CARDINAL
ejpam-7033	196	1	j ∗ 3	PERSON
ejpam-7033	196	2	r3	ORG
ejpam-7033	197	1	1	CARDINAL
ejpam-7033	198	1	j ∗ 4	PERSON
ejpam-7033	198	2	r3	ORG
ejpam-7033	199	1	3 2	CARDINAL
ejpam-7033	200	1	j ∗	PERSON
ejpam-7033	201	1	1	CARDINAL
ejpam-7033	201	2	2	DATE
ejpam-7033	201	3	3	DATE
ejpam-7033	201	4	4	DATE
ejpam-7033	202	1	t ∈ b(e	ORG
ejpam-7033	203	1	a. arif et al	PERSON
ejpam-7033	204	1	j. pure	PERSON
ejpam-7033	204	2	18	CARDINAL
ejpam-7033	204	3	4	CARDINAL
ejpam-7033	204	4	2025	CARDINAL
ejpam-7033	204	5	7033 8	DATE
ejpam-7033	204	6	29	CARDINAL
ejpam-7033	204	7	j ∈	PERSON
ejpam-7033	204	8	4	CARDINAL
ejpam-7033	204	9	1	CARDINAL
ejpam-7033	207	1	r(r,𭟋(r	LOC
ejpam-7033	207	2	x),r(r	GPE
ejpam-7033	207	3	𭟋(r)),r(x	GPE
ejpam-7033	207	4	𭟋(x)),r(r	GPE
ejpam-7033	207	5	𭟋(x)),r(x	PERSON
ejpam-7033	207	6	𭟋(r	PERSON
ejpam-7033	208	1	0e	CARDINAL
ejpam-7033	209	1	4	CARDINAL
ejpam-7033	209	2	12	CARDINAL
ejpam-7033	210	1	h ∈ b(e	ORG
ejpam-7033	211	1	+ hn +	PERSON
ejpam-7033	211	2	∥h∥1	DATE
ejpam-7033	211	3	1	CARDINAL
ejpam-7033	212	1	1	CARDINAL
ejpam-7033	212	2	1	CARDINAL
ejpam-7033	212	3	1	CARDINAL
ejpam-7033	212	4	4	CARDINAL
ejpam-7033	214	1	4	CARDINAL
ejpam-7033	215	1	hussain	GPE
ejpam-7033	216	1	24	CARDINAL
ejpam-7033	216	2	huang	PERSON
ejpam-7033	216	3	xu	PERSON
ejpam-7033	217	1	25	CARDINAL
ejpam-7033	218	1	azam et al	PERSON
ejpam-7033	219	1	34	CARDINAL
ejpam-7033	219	2	anam et al.[26	ORG
ejpam-7033	220	1	34	CARDINAL
ejpam-7033	220	2	36	CARDINAL
ejpam-7033	221	1	2	CARDINAL
ejpam-7033	222	1	2	CARDINAL
ejpam-7033	223	1	13	CARDINAL
ejpam-7033	225	1	t ∈ b(e	ORG
ejpam-7033	226	1	j ∈	PERSON
ejpam-7033	227	1	ℏ(f	PERSON
ejpam-7033	228	1	ℏ(f)),r(x	ORG
ejpam-7033	229	1	0e	CARDINAL
ejpam-7033	229	2	5	CARDINAL
ejpam-7033	229	3	1	CARDINAL
ejpam-7033	229	4	f0 ∈w	ORG
ejpam-7033	229	5	2	CARDINAL
ejpam-7033	229	6	3	CARDINAL
ejpam-7033	229	7	fnℜfn+1	EVENT
ejpam-7033	229	8	ℏ(z∗	EVENT
ejpam-7033	229	9	ℏ2(z∗	DATE
ejpam-7033	231	1	a. arif et al	PERSON
ejpam-7033	232	1	j. pure	PERSON
ejpam-7033	232	2	18	CARDINAL
ejpam-7033	232	3	4	CARDINAL
ejpam-7033	232	4	2025	CARDINAL
ejpam-7033	232	5	7033 9	DATE
ejpam-7033	232	6	29	CARDINAL
ejpam-7033	233	1	1	CARDINAL
ejpam-7033	233	2	ℏ(fn−1	ORG
ejpam-7033	234	1	f0ℜf1	CARDINAL
ejpam-7033	235	1	2	CARDINAL
ejpam-7033	236	1	5	CARDINAL
ejpam-7033	238	1	ℏ(f0	DATE
ejpam-7033	240	1	f1	PERSON
ejpam-7033	240	2	f1	PERSON
ejpam-7033	240	3	j ( r(ℏ(f0	ORG
ejpam-7033	240	4	ℏ(f0)),r(f1	ORG
ejpam-7033	241	1	0e	CARDINAL
ejpam-7033	241	2	f2),r(f0	PERSON
ejpam-7033	241	3	f1),r(f0	ORG
ejpam-7033	241	4	f1),r(f1	GPE
ejpam-7033	241	5	f2),r(f0	ORG
ejpam-7033	241	6	f3),r(f1	ORG
ejpam-7033	242	1	0e	CARDINAL
ejpam-7033	243	1	6	CARDINAL
ejpam-7033	243	2	f1	PERSON
ejpam-7033	244	1	f2	ORG
ejpam-7033	245	1	6	CARDINAL
ejpam-7033	245	2	f2),r(f0	PERSON
ejpam-7033	245	3	f1),r(f0	ORG
ejpam-7033	245	4	f1),r(f1	GPE
ejpam-7033	245	5	f1	PERSON
ejpam-7033	246	1	f2	ORG
ejpam-7033	246	2	f3)],r(f1	ORG
ejpam-7033	246	3	f2	ORG
ejpam-7033	246	4	0e	CARDINAL
ejpam-7033	247	1	j2	ORG
ejpam-7033	247	2	t ∈ b(e	ORG
ejpam-7033	247	3	1	CARDINAL
ejpam-7033	247	4	f1	PERSON
ejpam-7033	247	5	f1	PERSON
ejpam-7033	247	6	r(f2	ORG
ejpam-7033	247	7	f2	ORG
ejpam-7033	247	8	f2	ORG
ejpam-7033	248	1	5	CARDINAL
ejpam-7033	252	1	f2	ORG
ejpam-7033	252	2	f2	ORG
ejpam-7033	252	3	j (r(ℏ(f1	PERSON
ejpam-7033	252	4	ℏ(f2)),r(f1	ORG
ejpam-7033	252	5	f2),r(f1	ORG
ejpam-7033	252	6	ℏ(f2)),r(f1	ORG
ejpam-7033	252	7	ℏ(f3)),r(f2	ORG
ejpam-7033	252	8	ℏ(f2	ORG
ejpam-7033	253	1	0e	CARDINAL
ejpam-7033	253	2	f3),r(f1, f2),r(f1	ORG
ejpam-7033	253	3	0e	CARDINAL
ejpam-7033	254	1	drb3	ORG
ejpam-7033	255	1	r(f2	ORG
ejpam-7033	255	2	f3),r(f1, f2),r(f1	ORG
ejpam-7033	255	3	s[r(f1	PERSON
ejpam-7033	256	1	f4)],r(f2	ORG
ejpam-7033	257	1	0e	CARDINAL
ejpam-7033	258	1	r(f3	ORG
ejpam-7033	258	2	f4) ⪯ 1	MONEY
ejpam-7033	258	3	r(f2	ORG
ejpam-7033	258	4	1	CARDINAL
ejpam-7033	259	1	1	CARDINAL
ejpam-7033	259	2	f1	PERSON
ejpam-7033	259	3	t 3(r(f0	DATE
ejpam-7033	259	4	f1	PERSON
ejpam-7033	260	1	ℏ(fn	ORG
ejpam-7033	261	1	r(fn−1	ORG
ejpam-7033	261	2	ℏ(fn−1	ORG
ejpam-7033	263	1	r(fn−1	ORG
ejpam-7033	263	2	a. arif et al	PERSON
ejpam-7033	264	1	j. pure	PERSON
ejpam-7033	264	2	18	CARDINAL
ejpam-7033	264	3	4	CARDINAL
ejpam-7033	264	4	2025	CARDINAL
ejpam-7033	264	5	7033 10	DATE
ejpam-7033	264	6	29	CARDINAL
ejpam-7033	264	7	fn+1) ⪯	MONEY
ejpam-7033	264	8	r(fn−1	ORG
ejpam-7033	264	9	1	CARDINAL
ejpam-7033	264	10	2(r(fn−2	CARDINAL
ejpam-7033	265	1	sn	ORG
ejpam-7033	266	1	two	CARDINAL
ejpam-7033	266	2	fn+p	PERSON
ejpam-7033	266	3	2	CARDINAL
ejpam-7033	266	4	+ 1	DATE
ejpam-7033	266	5	fn+2m+1	ORG
ejpam-7033	267	1	fn+2m+1	ORG
ejpam-7033	268	1	+ r(fn+3	GPE
ejpam-7033	268	2	fn+2m+1	ORG
ejpam-7033	269	1	fn+2m+1	ORG
ejpam-7033	271	1	4 + ·	DATE
ejpam-7033	273	1	0	CARDINAL
ejpam-7033	274	1	st n(i −	PERSON
ejpam-7033	274	2	2)−1r∗	CARDINAL
ejpam-7033	275	1	n+1(i	GPE
ejpam-7033	275	2	2)−1r∗	CARDINAL
ejpam-7033	275	3	st n(i −	PERSON
ejpam-7033	277	1	12	CARDINAL
ejpam-7033	277	2	2	CARDINAL
ejpam-7033	277	3	r∗ n = r(fn	PERSON
ejpam-7033	279	1	+ r(fn+3	GPE
ejpam-7033	279	2	fn+2m+1	ORG
ejpam-7033	281	1	2m−3	CARDINAL
ejpam-7033	283	1	+ sm−1	NORP
ejpam-7033	283	2	4 + ·	DATE
ejpam-7033	283	3	0	CARDINAL
ejpam-7033	285	1	2)−1r∗	CARDINAL
ejpam-7033	287	1	0	CARDINAL
ejpam-7033	288	1	1 s	CARDINAL
ejpam-7033	288	2	2)−1r∗	CARDINAL
ejpam-7033	289	1	0	DATE
ejpam-7033	291	1	fn+p	PERSON
ejpam-7033	291	2	0e	CARDINAL
ejpam-7033	291	3	w	GPE
ejpam-7033	294	1	ℏ(fn	ORG
ejpam-7033	298	1	1	CARDINAL
ejpam-7033	299	1	5	CARDINAL
ejpam-7033	299	2	drb3	ORG
ejpam-7033	299	3	ℏ(fn	ORG
ejpam-7033	301	1	ℏ(fn	ORG
ejpam-7033	305	1	a. arif et al	PERSON
ejpam-7033	306	1	j. pure	PERSON
ejpam-7033	306	2	18	CARDINAL
ejpam-7033	306	3	4	CARDINAL
ejpam-7033	306	4	2025	CARDINAL
ejpam-7033	306	5	7033 11	DATE
ejpam-7033	307	1	ℏ(fn	ORG
ejpam-7033	308	1	ℏ(fn	ORG
ejpam-7033	310	1	2r(fn	TIME
ejpam-7033	310	2	ℏ(fn	ORG
ejpam-7033	311	1	ℏ(fn	ORG
ejpam-7033	312	1	ℏ(fn	ORG
ejpam-7033	313	1	2)r(fn	CARDINAL
ejpam-7033	313	2	ℏ(fn	ORG
ejpam-7033	314	1	4(r(fn	ORDINAL
ejpam-7033	314	2	ℏ(fn	ORG
ejpam-7033	315	1	0e	CARDINAL
ejpam-7033	317	1	ℏ(fn	ORG
ejpam-7033	318	1	5	CARDINAL
ejpam-7033	318	2	ℏ(z∗)),r(fn	ORG
ejpam-7033	318	3	z∗),r(fn	ORG
ejpam-7033	318	4	ℏ(z∗	EVENT
ejpam-7033	318	5	r(fn−1	ORG
ejpam-7033	318	6	ℏ(fn	ORG
ejpam-7033	318	7	0e	CARDINAL
ejpam-7033	319	1	7	CARDINAL
ejpam-7033	319	2	0	CARDINAL
ejpam-7033	319	3	0	CARDINAL
ejpam-7033	319	4	ℏ(z∗	EVENT
ejpam-7033	321	1	ℏ(z∗	EVENT
ejpam-7033	321	2	ℏ(z∗	EVENT
ejpam-7033	321	3	ℏ(z∗	EVENT
ejpam-7033	321	4	r(fn−1	ORG
ejpam-7033	321	5	ℏ2(z∗	DATE
ejpam-7033	322	1	ℏ2(z∗	DATE
ejpam-7033	323	1	ℏ2(z∗	DATE
ejpam-7033	323	2	3	CARDINAL
ejpam-7033	323	3	7	CARDINAL
ejpam-7033	323	4	0e	CARDINAL
ejpam-7033	323	5	r(z∗	ORG
ejpam-7033	323	6	ℏ(z∗	EVENT
ejpam-7033	323	7	0e	CARDINAL
ejpam-7033	324	1	3	CARDINAL
ejpam-7033	324	2	0e	CARDINAL
ejpam-7033	324	3	r(z∗	ORG
ejpam-7033	324	4	ℏ(z∗	EVENT
ejpam-7033	324	5	0e	CARDINAL
ejpam-7033	326	1	0	CARDINAL
ejpam-7033	327	1	ℏ(z∗	EVENT
ejpam-7033	328	1	0e	CARDINAL
ejpam-7033	328	2	drb1	ORG
ejpam-7033	330	1	14	DATE
ejpam-7033	332	1	t ∈ b(e	ORG
ejpam-7033	333	1	j ∈	PERSON
ejpam-7033	333	2	1	CARDINAL
ejpam-7033	334	1	ℏ(f	PERSON
ejpam-7033	335	1	ℏ(f)),r(x	ORG
ejpam-7033	336	1	0e	CARDINAL
ejpam-7033	336	2	a. arif et	PERSON
ejpam-7033	338	1	j. pure	PERSON
ejpam-7033	338	2	18	CARDINAL
ejpam-7033	338	3	4	CARDINAL
ejpam-7033	338	4	2025	CARDINAL
ejpam-7033	338	5	7033 12	DATE
ejpam-7033	338	6	29	CARDINAL
ejpam-7033	338	7	1	CARDINAL
ejpam-7033	338	8	f0 ∈w	ORG
ejpam-7033	338	9	2	CARDINAL
ejpam-7033	338	10	3	CARDINAL
ejpam-7033	338	11	ℏ(z∗	EVENT
ejpam-7033	338	12	ℏ2(z∗	DATE
ejpam-7033	339	1	ℏ	ORG
ejpam-7033	341	1	1	CARDINAL
ejpam-7033	342	1	ℏ(fn−1	ORG
ejpam-7033	344	1	2	CARDINAL
ejpam-7033	344	2	2	CARDINAL
ejpam-7033	348	1	j ( r(ℏ(f1	PERSON
ejpam-7033	348	2	ℏ(f0)),r(f1	ORG
ejpam-7033	348	3	f0),r(f1	ORG
ejpam-7033	348	4	ℏ(f1)),r(f0,	GPE
ejpam-7033	348	5	ℏ(f0)),r(f1	ORG
ejpam-7033	348	6	ℏ2(f1	PRODUCT
ejpam-7033	349	1	0e	CARDINAL
ejpam-7033	349	2	f2),r(f0	PERSON
ejpam-7033	349	3	f1),r(f1	GPE
ejpam-7033	349	4	f2),r(f0	ORG
ejpam-7033	349	5	f1),r(f1	GPE
ejpam-7033	349	6	f2),r(f0	ORG
ejpam-7033	349	7	0e	CARDINAL
ejpam-7033	350	1	f1	PERSON
ejpam-7033	351	1	f2	ORG
ejpam-7033	351	2	j	PERSON
ejpam-7033	351	3	f2),r(f0	PERSON
ejpam-7033	351	4	f1),r(f1	GPE
ejpam-7033	351	5	f2),r(f0	ORG
ejpam-7033	351	6	f1),r(f1	GPE
ejpam-7033	351	7	0e	CARDINAL
ejpam-7033	352	1	j2	ORG
ejpam-7033	352	2	t ∈ b(e	ORG
ejpam-7033	352	3	f1	PERSON
ejpam-7033	352	4	f1	PERSON
ejpam-7033	352	5	r(f2	ORG
ejpam-7033	352	6	f2	ORG
ejpam-7033	353	1	f2	ORG
ejpam-7033	354	1	2	CARDINAL
ejpam-7033	357	1	f2	ORG
ejpam-7033	357	2	f2	ORG
ejpam-7033	357	3	j ( r(ℏ(f1	PERSON
ejpam-7033	357	4	ℏ(f2)),r(f1	ORG
ejpam-7033	357	5	f2),r(f1	ORG
ejpam-7033	357	6	ℏ(f2)),r(f1	ORG
ejpam-7033	357	7	ℏ2(f1	PRODUCT
ejpam-7033	358	1	0e	CARDINAL
ejpam-7033	358	2	r(f2	ORG
ejpam-7033	358	3	f3),r(f1, f2),r(f1	ORG
ejpam-7033	359	1	0e	CARDINAL
ejpam-7033	360	1	j2	ORG
ejpam-7033	360	2	f4) ⪯ 1	MONEY
ejpam-7033	360	3	r(f2	ORG
ejpam-7033	360	4	1	CARDINAL
ejpam-7033	360	5	2(r(f1	ORDINAL
ejpam-7033	360	6	f2	ORG
ejpam-7033	361	1	1	CARDINAL
ejpam-7033	361	2	f1	PERSON
ejpam-7033	361	3	t 3(r(f0	DATE
ejpam-7033	361	4	f1	PERSON
ejpam-7033	362	1	fn+1) ⪯	MONEY
ejpam-7033	362	2	r(fn−1	ORG
ejpam-7033	362	3	1	CARDINAL
ejpam-7033	362	4	2(r(fn−2	CARDINAL
ejpam-7033	363	1	sn	ORG
ejpam-7033	364	1	13	CARDINAL
ejpam-7033	365	1	13	CARDINAL
ejpam-7033	365	2	14	CARDINAL
ejpam-7033	365	3	a. arif et al	PERSON
ejpam-7033	366	1	j. pure	PERSON
ejpam-7033	366	2	18	CARDINAL
ejpam-7033	366	3	4	CARDINAL
ejpam-7033	366	4	2025	CARDINAL
ejpam-7033	366	5	7033 13	DATE
ejpam-7033	366	6	29	CARDINAL
ejpam-7033	366	7	15	CARDINAL
ejpam-7033	367	1	⊂	GPE
ejpam-7033	367	2	w →w	ORG
ejpam-7033	368	1	t ∈ b(e	ORG
ejpam-7033	368	2	j ∈	PERSON
ejpam-7033	369	1	ℏ(f	PERSON
ejpam-7033	370	1	ℏ(f)),r(x	ORG
ejpam-7033	370	2	ℏ2(f	ORG
ejpam-7033	371	1	0e	CARDINAL
ejpam-7033	371	2	9	CARDINAL
ejpam-7033	371	3	1	CARDINAL
ejpam-7033	371	4	2	CARDINAL
ejpam-7033	371	5	ℏ(z∗	EVENT
ejpam-7033	371	6	ℏ2(z∗	DATE
ejpam-7033	372	1	ℏ	ORG
ejpam-7033	374	1	ℏ(fn−1	ORG
ejpam-7033	375	1	1	CARDINAL
ejpam-7033	378	1	9	CARDINAL
ejpam-7033	379	1	ℏ(f0	DATE
ejpam-7033	381	1	f1	PERSON
ejpam-7033	381	2	f1	PERSON
ejpam-7033	381	3	j ( r(ℏ(f0	ORG
ejpam-7033	381	4	f1),r(f0	ORG
ejpam-7033	381	5	ℏ(f0	DATE
ejpam-7033	381	6	ℏ(f2)),r(f1	ORG
ejpam-7033	382	1	0e	CARDINAL
ejpam-7033	382	2	f2),r(f0	PERSON
ejpam-7033	382	3	f1),r(f0	ORG
ejpam-7033	382	4	f1),r(f1	GPE
ejpam-7033	382	5	f3),r(f1	ORG
ejpam-7033	383	1	0e	CARDINAL
ejpam-7033	384	1	10	CARDINAL
ejpam-7033	384	2	j (r(f1	PERSON
ejpam-7033	384	3	f2),r(f0	PERSON
ejpam-7033	384	4	f1),r(f0	ORG
ejpam-7033	384	5	f1),r(f1	GPE
ejpam-7033	384	6	0e	CARDINAL
ejpam-7033	385	1	j2	ORG
ejpam-7033	385	2	∃ t ∈ b(e	ORG
ejpam-7033	386	1	f1	PERSON
ejpam-7033	386	2	f1	PERSON
ejpam-7033	386	3	f2	ORG
ejpam-7033	387	1	f2	ORG
ejpam-7033	388	1	2	CARDINAL
ejpam-7033	388	2	9	CARDINAL
ejpam-7033	391	1	f1	PERSON
ejpam-7033	393	1	f1	PERSON
ejpam-7033	393	2	ℏ(f2)),r(f1	ORG
ejpam-7033	393	3	r(f2, ℏ2(f1)),r(f1	ORG
ejpam-7033	394	1	0e	CARDINAL
ejpam-7033	395	1	a. arif et al	PERSON
ejpam-7033	396	1	j. pure	PERSON
ejpam-7033	396	2	18	CARDINAL
ejpam-7033	396	3	4	CARDINAL
ejpam-7033	396	4	2025	CARDINAL
ejpam-7033	396	5	14	CARDINAL
ejpam-7033	396	6	29	CARDINAL
ejpam-7033	396	7	j2	ORG
ejpam-7033	396	8	f4) ⪯ 1	MONEY
ejpam-7033	396	9	r(f2	ORG
ejpam-7033	396	10	1	CARDINAL
ejpam-7033	396	11	2(r(f1	ORDINAL
ejpam-7033	396	12	f2	ORG
ejpam-7033	397	1	1	CARDINAL
ejpam-7033	397	2	f1	PERSON
ejpam-7033	397	3	t 3(r(f0	DATE
ejpam-7033	397	4	f1	PERSON
ejpam-7033	398	1	fn+1) ⪯	MONEY
ejpam-7033	398	2	r(fn−1	ORG
ejpam-7033	399	1	1	CARDINAL
ejpam-7033	399	2	2(r(fn−2	CARDINAL
ejpam-7033	400	1	sn	ORG
ejpam-7033	401	1	13	CARDINAL
ejpam-7033	402	1	16	CARDINAL
ejpam-7033	404	1	15	CARDINAL
ejpam-7033	404	2	8–11	CARDINAL
ejpam-7033	404	3	37	DATE
ejpam-7033	404	4	38	CARDINAL
ejpam-7033	405	1	17	CARDINAL
ejpam-7033	406	1	ω ∈w	GPE
ejpam-7033	406	2	15	CARDINAL
ejpam-7033	406	3	5	CARDINAL
ejpam-7033	406	4	6	CARDINAL
ejpam-7033	407	1	r3	ORG
ejpam-7033	408	1	∥ϑ∥	GPE
ejpam-7033	408	2	max	PERSON
ejpam-7033	409	1	0	CARDINAL
ejpam-7033	409	2	0	DATE
ejpam-7033	409	3	0	DATE
ejpam-7033	409	4	1 4	DATE
ejpam-7033	409	5	0	DATE
ejpam-7033	409	6	0	DATE
ejpam-7033	409	7	1 4	DATE
ejpam-7033	409	8	0	DATE
ejpam-7033	409	9	1 4	DATE
ejpam-7033	410	1	0	CARDINAL
ejpam-7033	410	2	0	DATE
ejpam-7033	410	3	1 4	DATE
ejpam-7033	410	4	0	DATE
ejpam-7033	410	5	0	CARDINAL
ejpam-7033	410	6	0	DATE
ejpam-7033	410	7	0	DATE
ejpam-7033	410	8	1 4	DATE
ejpam-7033	411	1	1 4	DATE
ejpam-7033	411	2	0	DATE
ejpam-7033	411	3	0	DATE
ejpam-7033	411	4	1 4	DATE
ejpam-7033	411	5	1 4	DATE
ejpam-7033	411	6	0	DATE
ejpam-7033	412	1		ORG
ejpam-7033	412	2	0	CARDINAL
ejpam-7033	412	3	0	DATE
ejpam-7033	412	4	0	DATE
ejpam-7033	412	5	3 4	DATE
ejpam-7033	412	6	0	CARDINAL
ejpam-7033	412	7	0	DATE
ejpam-7033	412	8	0	DATE
ejpam-7033	412	9	1 4	DATE
ejpam-7033	412	10	0	DATE
ejpam-7033	412	11	1 4	DATE
ejpam-7033	412	12	1 4	DATE
ejpam-7033	412	13	1 4	DATE
ejpam-7033	412	14	0	DATE
ejpam-7033	412	15	0	CARDINAL
ejpam-7033	412	16	14	DATE
ejpam-7033	412	17	1 4	CARDINAL
ejpam-7033	414	1	2	CARDINAL
ejpam-7033	415	1	3 4	DATE
ejpam-7033	416	1	0	CARDINAL
ejpam-7033	416	2	0	DATE
ejpam-7033	416	3	0	DATE
ejpam-7033	416	4	1 4	DATE
ejpam-7033	416	5	0	DATE
ejpam-7033	417	1	0	CARDINAL
ejpam-7033	417	2	0	DATE
ejpam-7033	417	3	0	DATE
ejpam-7033	417	4	1 4	DATE
ejpam-7033	417	5	0	DATE
ejpam-7033	417	6	0	DATE
ejpam-7033	418	1	0	DATE
ejpam-7033	418	2	0	DATE
ejpam-7033	418	3	1 4	DATE
ejpam-7033	419	1	1 4	DATE
ejpam-7033	419	2	0	DATE
ejpam-7033	420	1	0	CARDINAL
ejpam-7033	420	2	0	CARDINAL
ejpam-7033	420	3	1 4	DATE
ejpam-7033	420	4	a. arif et al	PERSON
ejpam-7033	421	1	j. pure	PERSON
ejpam-7033	421	2	18	CARDINAL
ejpam-7033	421	3	4	CARDINAL
ejpam-7033	421	4	2025	CARDINAL
ejpam-7033	421	5	7033 15	DATE
ejpam-7033	421	6	29	CARDINAL
ejpam-7033	421	7	1 4	DATE
ejpam-7033	422	1	3	CARDINAL
ejpam-7033	422	2	0	CARDINAL
ejpam-7033	422	3	0	DATE
ejpam-7033	422	4	0	DATE
ejpam-7033	422	5	ω	CARDINAL
ejpam-7033	422	6	1 4	DATE
ejpam-7033	422	7	0	DATE
ejpam-7033	422	8	0	DATE
ejpam-7033	423	1	ℏ(ϑ	GPE
ejpam-7033	423	2	0	CARDINAL
ejpam-7033	423	3	0	DATE
ejpam-7033	424	1	ℏ(ϑ	GPE
ejpam-7033	426	1	0	CARDINAL
ejpam-7033	426	2	0	DATE
ejpam-7033	426	3	0	DATE
ejpam-7033	426	4	0	CARDINAL
ejpam-7033	428	1	ℏ(ϑ	GPE
ejpam-7033	429	1	0	CARDINAL
ejpam-7033	429	2	0	DATE
ejpam-7033	430	1	1 4	DATE
ejpam-7033	430	2	0	DATE
ejpam-7033	430	3	0	DATE
ejpam-7033	430	4	ω	CARDINAL
ejpam-7033	430	5	1 4	DATE
ejpam-7033	430	6	0	DATE
ejpam-7033	431	1	ℏ(ϑ	GPE
ejpam-7033	431	2	0	CARDINAL
ejpam-7033	431	3	0	DATE
ejpam-7033	433	1	1 4	DATE
ejpam-7033	433	2	0	DATE
ejpam-7033	433	3	0	DATE
ejpam-7033	434	1	ℏ(ϑ	GPE
ejpam-7033	436	1	0	CARDINAL
ejpam-7033	437	1	ℏ(ϑ	GPE
ejpam-7033	438	1	0	CARDINAL
ejpam-7033	438	2	3 32	DATE
ejpam-7033	438	3	3 32	DATE
ejpam-7033	439	1	1 4	DATE
ejpam-7033	439	2	0	DATE
ejpam-7033	439	3	ω	CARDINAL
ejpam-7033	439	4	1 4	DATE
ejpam-7033	440	1	ℏ(ϑ	GPE
ejpam-7033	440	2	14	CARDINAL
ejpam-7033	440	3	0	DATE
ejpam-7033	442	1	1 4	DATE
ejpam-7033	442	2	0	DATE
ejpam-7033	444	1	ℏ(ϑ	GPE
ejpam-7033	446	1	0	CARDINAL
ejpam-7033	446	2	1 4	DATE
ejpam-7033	448	1	ℏ(ϑ	GPE
ejpam-7033	449	1	0	CARDINAL
ejpam-7033	449	2	3 32	DATE
ejpam-7033	449	3	3 32	DATE
ejpam-7033	450	1	0	CARDINAL
ejpam-7033	450	2	0	DATE
ejpam-7033	450	3	0	DATE
ejpam-7033	450	4	ω	CARDINAL
ejpam-7033	450	5	1 4	DATE
ejpam-7033	450	6	0	DATE
ejpam-7033	451	1	ℏ(ϑ	GPE
ejpam-7033	451	2	0	CARDINAL
ejpam-7033	451	3	0	DATE
ejpam-7033	453	1	1 4	DATE
ejpam-7033	453	2	0	DATE
ejpam-7033	453	3	0	DATE
ejpam-7033	455	1	0	CARDINAL
ejpam-7033	456	1	0	CARDINAL
ejpam-7033	456	2	0	DATE
ejpam-7033	456	3	0	DATE
ejpam-7033	458	1	ℏ(ϑ	GPE
ejpam-7033	459	1	0	CARDINAL
ejpam-7033	459	2	0	DATE
ejpam-7033	460	1	0	CARDINAL
ejpam-7033	460	2	0	DATE
ejpam-7033	460	3	0	DATE
ejpam-7033	460	4	ω	CARDINAL
ejpam-7033	460	5	1 4	DATE
ejpam-7033	461	1	ℏ(ϑ	GPE
ejpam-7033	461	2	0	CARDINAL
ejpam-7033	461	3	0	DATE
ejpam-7033	463	1	1 4	DATE
ejpam-7033	463	2	0	DATE
ejpam-7033	465	1	0	CARDINAL
ejpam-7033	466	1	0	CARDINAL
ejpam-7033	466	2	0	DATE
ejpam-7033	466	3	0	DATE
ejpam-7033	468	1	ℏ(ϑ	GPE
ejpam-7033	469	1	0	CARDINAL
ejpam-7033	469	2	0	DATE
ejpam-7033	470	1	1 4	DATE
ejpam-7033	470	2	0	DATE
ejpam-7033	470	3	0	DATE
ejpam-7033	470	4	ω	CARDINAL
ejpam-7033	470	5	1 4	DATE
ejpam-7033	471	1	ℏ(ϑ	GPE
ejpam-7033	471	2	0	CARDINAL
ejpam-7033	471	3	0	DATE
ejpam-7033	473	1	1 4	DATE
ejpam-7033	473	2	0	DATE
ejpam-7033	475	1	3 4	DATE
ejpam-7033	476	1	0	CARDINAL
ejpam-7033	476	2	0	DATE
ejpam-7033	476	3	0	DATE
ejpam-7033	476	4	a. arif et al	PERSON
ejpam-7033	477	1	j. pure	PERSON
ejpam-7033	477	2	18	CARDINAL
ejpam-7033	477	3	4	CARDINAL
ejpam-7033	477	4	2025	CARDINAL
ejpam-7033	477	5	7033 16	DATE
ejpam-7033	477	6	29	CARDINAL
ejpam-7033	479	1	ℏ(ϑ	GPE
ejpam-7033	480	1	0	CARDINAL
ejpam-7033	480	2	3 32	DATE
ejpam-7033	480	3	3 32	DATE
ejpam-7033	482	1	1,∞	CARDINAL
ejpam-7033	482	2	j ∈	PERSON
ejpam-7033	483	1	ℏ(ω)),r(ϑ	WORK_OF_ART
ejpam-7033	483	2	ℏ(ϑ	ORG
ejpam-7033	489	1	ℏ(ϑ	GPE
ejpam-7033	490	1	ω	GPE
ejpam-7033	490	2	ℏ(ω)),r(ϑ	WORK_OF_ART
ejpam-7033	490	3	ℏ(ϑ)),r(ω	ORG
ejpam-7033	492	1	15	CARDINAL
ejpam-7033	492	2	0	DATE
ejpam-7033	493	1	0	CARDINAL
ejpam-7033	493	2	0	DATE
ejpam-7033	493	3	0	CARDINAL
ejpam-7033	495	1	7	CARDINAL
ejpam-7033	496	1	∈	ORG
ejpam-7033	496	2	1	CARDINAL
ejpam-7033	496	3	2	DATE
ejpam-7033	496	4	3	DATE
ejpam-7033	496	5	4	CARDINAL
ejpam-7033	497	1	2	CARDINAL
ejpam-7033	498	1		ORG
ejpam-7033	499	1	1	CARDINAL
ejpam-7033	499	2	2	CARDINAL
ejpam-7033	499	3	2	CARDINAL
ejpam-7033	499	4	3	CARDINAL
ejpam-7033	499	5	4	CARDINAL
ejpam-7033	500	1	4	DATE
ejpam-7033	500	2	r(2	NORP
ejpam-7033	500	3	1	CARDINAL
ejpam-7033	500	4	3	CARDINAL
ejpam-7033	501	1	4	CARDINAL
ejpam-7033	502	1	5et 6	DATE
ejpam-7033	503	1	6 5	DATE
ejpam-7033	504	1	3	CARDINAL
ejpam-7033	504	2	1	CARDINAL
ejpam-7033	504	3	ω	CARDINAL
ejpam-7033	504	4	2	CARDINAL
ejpam-7033	505	1	ω	GPE
ejpam-7033	506	1	3	CARDINAL
ejpam-7033	506	2	ℏ(ϑ	GPE
ejpam-7033	508	1	2	CARDINAL
ejpam-7033	508	2	ω	CARDINAL
ejpam-7033	508	3	3	CARDINAL
ejpam-7033	508	4	r(ϑ	GPE
ejpam-7033	509	1	ℏ(ϑ	GPE
ejpam-7033	512	1	3	CARDINAL
ejpam-7033	513	1	ℏ(ϑ	GPE
ejpam-7033	515	1	2)r(ϑ	PRODUCT
ejpam-7033	515	2	ℏ(ϑ	ORG
ejpam-7033	516	1	2)r(ϑ	PRODUCT
ejpam-7033	516	2	ℏ(ϑ	ORG
ejpam-7033	517	1	17et 81	DATE
ejpam-7033	518	1	a. arif et al	PERSON
ejpam-7033	519	1	j. pure	PERSON
ejpam-7033	519	2	18	CARDINAL
ejpam-7033	519	3	4	CARDINAL
ejpam-7033	519	4	2025	CARDINAL
ejpam-7033	519	5	7033 17	DATE
ejpam-7033	519	6	29	CARDINAL
ejpam-7033	519	7	3	CARDINAL
ejpam-7033	519	8	4	CARDINAL
ejpam-7033	520	1	ℏ(ϑ	GPE
ejpam-7033	521	1	3	CARDINAL
ejpam-7033	521	2	2	CARDINAL
ejpam-7033	524	1	2)r(ϑ	PRODUCT
ejpam-7033	524	2	ℏ(ϑ	ORG
ejpam-7033	525	1	17et 81	DATE
ejpam-7033	526	1	j ∈	PERSON
ejpam-7033	526	2	ℏ(ω)),r(ϑ	WORK_OF_ART
ejpam-7033	526	3	ℏ(ϑ	ORG
ejpam-7033	528	1	ℏ(ϑ	GPE
ejpam-7033	529	1	+ r(ω	GPE
ejpam-7033	532	1	ℏ(ϑ	GPE
ejpam-7033	533	1	ω	GPE
ejpam-7033	533	2	ℏ(ω)),r(ϑ	WORK_OF_ART
ejpam-7033	533	3	ℏ(ϑ)),r(ω	ORG
ejpam-7033	536	1	1	CARDINAL
ejpam-7033	536	2	5.1	CARDINAL
ejpam-7033	538	1	18	CARDINAL
ejpam-7033	539	1	1	CARDINAL
ejpam-7033	540	1	j ∈	PERSON
ejpam-7033	541	1	ℏ(ϑ	GPE
ejpam-7033	541	2	sr(ϑ	PERSON
ejpam-7033	541	3	ω	GPE
ejpam-7033	542	1	ω	GPE
ejpam-7033	542	2	11	CARDINAL
ejpam-7033	542	3	1	CARDINAL
ejpam-7033	542	4	∈	ORG
ejpam-7033	542	5	ℏ(ϑ0)ℜϑ0	PERSON
ejpam-7033	542	6	2	CARDINAL
ejpam-7033	542	7	3	CARDINAL
ejpam-7033	542	8	n ∈ n	PRODUCT
ejpam-7033	542	9	ℏ(z∗	EVENT
ejpam-7033	542	10	ℏ2(z∗	DATE
ejpam-7033	545	1	5	CARDINAL
ejpam-7033	547	1	∈	ORG
ejpam-7033	547	2	0 ≤	MONEY
ejpam-7033	547	3	1	CARDINAL
ejpam-7033	547	4	∥t ∥1 < 1	PERSON
ejpam-7033	547	5	t ∈ b(e	ORG
ejpam-7033	547	6	15	CARDINAL
ejpam-7033	547	7	a. arif et al	PERSON
ejpam-7033	548	1	j. pure	PERSON
ejpam-7033	548	2	18	CARDINAL
ejpam-7033	548	3	4	CARDINAL
ejpam-7033	548	4	2025	CARDINAL
ejpam-7033	548	5	7033 18	DATE
ejpam-7033	548	6	29	CARDINAL
ejpam-7033	549	1	1	CARDINAL
ejpam-7033	550	1	j ∈	PERSON
ejpam-7033	552	1	ℏ(ϑ	GPE
ejpam-7033	552	2	sr(ϑ	PERSON
ejpam-7033	552	3	ω	GPE
ejpam-7033	553	1	t s (r(ϑ, ω	ORG
ejpam-7033	554	1	1	CARDINAL
ejpam-7033	554	2	∈	ORG
ejpam-7033	554	3	ℏ(ϑ0)ℜϑ0	PERSON
ejpam-7033	554	4	2	CARDINAL
ejpam-7033	554	5	3	CARDINAL
ejpam-7033	554	6	ℏ(z∗	EVENT
ejpam-7033	554	7	ℏ2(z∗	DATE
ejpam-7033	558	1	∈	ORG
ejpam-7033	559	1	18	CARDINAL
ejpam-7033	559	2	8	CARDINAL
ejpam-7033	561	1	∈	ORG
ejpam-7033	562	1	0	CARDINAL
ejpam-7033	562	2	1	DATE
ejpam-7033	562	3	2	DATE
ejpam-7033	562	4	3	CARDINAL
ejpam-7033	562	5	w →w	ORG
ejpam-7033	562	6	0, ℏ(1	DATE
ejpam-7033	562	7	2	CARDINAL
ejpam-7033	562	8	1	CARDINAL
ejpam-7033	564	1	3	CARDINAL
ejpam-7033	564	2	1	CARDINAL
ejpam-7033	564	3	2	CARDINAL
ejpam-7033	564	4	10	CARDINAL
ejpam-7033	564	5	0	CARDINAL
ejpam-7033	564	6	1	CARDINAL
ejpam-7033	564	7	22	CARDINAL
ejpam-7033	564	8	2	CARDINAL
ejpam-7033	564	9	3	CARDINAL
ejpam-7033	564	10	0.5	CARDINAL
ejpam-7033	565	1	22	CARDINAL
ejpam-7033	565	2	2	CARDINAL
ejpam-7033	565	3	3	DATE
ejpam-7033	565	4	2	CARDINAL
ejpam-7033	566	1	0	CARDINAL
ejpam-7033	566	2	1	CARDINAL
ejpam-7033	566	3	1	CARDINAL
ejpam-7033	566	4	3	CARDINAL
ejpam-7033	566	5	0.5 + 10 + 0.5	DATE
ejpam-7033	566	6	11	CARDINAL
ejpam-7033	567	1	2	CARDINAL
ejpam-7033	568	1	2	CARDINAL
ejpam-7033	569	1	0	CARDINAL
ejpam-7033	569	2	ω	CARDINAL
ejpam-7033	569	3	1	CARDINAL
ejpam-7033	569	4	r(ϑ	GPE
ejpam-7033	569	5	10	CARDINAL
ejpam-7033	569	6	0.5	CARDINAL
ejpam-7033	569	7	ℏ(ϑ	GPE
ejpam-7033	571	1	10 2	CARDINAL
ejpam-7033	571	2	5	CARDINAL
ejpam-7033	572	1	1	CARDINAL
ejpam-7033	572	2	ω	CARDINAL
ejpam-7033	572	3	2	CARDINAL
ejpam-7033	572	4	r(ϑ	GPE
ejpam-7033	572	5	ℏ(ϑ	GPE
ejpam-7033	572	6	3	CARDINAL
ejpam-7033	573	1	1.125	CARDINAL
ejpam-7033	573	2	a. arif et al	PERSON
ejpam-7033	574	1	j. pure	PERSON
ejpam-7033	574	2	18	CARDINAL
ejpam-7033	574	3	4	CARDINAL
ejpam-7033	574	4	2025	CARDINAL
ejpam-7033	574	5	7033 19	DATE
ejpam-7033	574	6	29	CARDINAL
ejpam-7033	574	7	3 2	CARDINAL
ejpam-7033	574	8	1.5	CARDINAL
ejpam-7033	576	1	ℏ(ϑ	GPE
ejpam-7033	577	1	0.25	CARDINAL
ejpam-7033	578	1	2	CARDINAL
ejpam-7033	578	2	ω	CARDINAL
ejpam-7033	578	3	3	CARDINAL
ejpam-7033	578	4	r(ϑ	GPE
ejpam-7033	578	5	22	CARDINAL
ejpam-7033	578	6	10	CARDINAL
ejpam-7033	578	7	ℏ(ϑ	GPE
ejpam-7033	578	8	0.5	CARDINAL
ejpam-7033	578	9	0.5 2	CARDINAL
ejpam-7033	578	10	0.25	CARDINAL
ejpam-7033	579	1	ℏ(ϑ	GPE
ejpam-7033	580	1	0.1875	CARDINAL
ejpam-7033	581	1	ω ∈w	GPE
ejpam-7033	583	1	ℏ(ϑ	GPE
ejpam-7033	584	1	sr(ϑ	PERSON
ejpam-7033	584	2	ω	GPE
ejpam-7033	585	1	ω	GPE
ejpam-7033	586	1	18	CARDINAL
ejpam-7033	586	2	0	CARDINAL
ejpam-7033	588	1	c1 r[1	PERSON
ejpam-7033	588	2	2	CARDINAL
ejpam-7033	588	3	∥ϑ∥	GPE
ejpam-7033	589	1	0	CARDINAL
ejpam-7033	590	1	1	CARDINAL
ejpam-7033	590	2	2	CARDINAL
ejpam-7033	591	1	ω	CARDINAL
ejpam-7033	592	1	∥ϑ∥	GPE
ejpam-7033	592	2	2	CARDINAL
ejpam-7033	592	3	2k	CARDINAL
ejpam-7033	592	4	q∥ϑ∥ ≤ ∥ω∥.	ORG
ejpam-7033	594	1	1 2	CARDINAL
ejpam-7033	594	2	∫	ORG
ejpam-7033	595	1	1 2	CARDINAL
ejpam-7033	595	2	∫	ORG
ejpam-7033	595	3	1 2	CARDINAL
ejpam-7033	595	4	∫	ORG
ejpam-7033	595	5	∫	ORG
ejpam-7033	595	6	0	CARDINAL
ejpam-7033	596	1	∥ϑ∥	GPE
ejpam-7033	596	2	1 2∞	CARDINAL
ejpam-7033	596	3	2n	CARDINAL
ejpam-7033	597	1	1 2	CARDINAL
ejpam-7033	598	1	1	CARDINAL
ejpam-7033	598	2	2	CARDINAL
ejpam-7033	598	3	n ≥ 1	DATE
ejpam-7033	598	4	1 2	DATE
ejpam-7033	600	1	1	CARDINAL
ejpam-7033	601	1	1 4	DATE
ejpam-7033	602	1	1 2 + 1√	DATE
ejpam-7033	602	2	1	CARDINAL
ejpam-7033	603	1	1 4	DATE
ejpam-7033	606	1	3	CARDINAL
ejpam-7033	606	2	2	CARDINAL
ejpam-7033	606	3	3	CARDINAL
ejpam-7033	606	4	2et	ORDINAL
ejpam-7033	606	5	2	CARDINAL
ejpam-7033	609	1	10et	ORDINAL
ejpam-7033	610	1	3	CARDINAL
ejpam-7033	611	1	2e	CARDINAL
ejpam-7033	611	2	6et	ORDINAL
ejpam-7033	611	3	et2	ORG
ejpam-7033	611	4	2et	CARDINAL
ejpam-7033	611	5	3et	ORDINAL
ejpam-7033	612	1	a. arif et al	PERSON
ejpam-7033	613	1	j. pure	PERSON
ejpam-7033	613	2	18	CARDINAL
ejpam-7033	613	3	4	CARDINAL
ejpam-7033	613	4	2025	CARDINAL
ejpam-7033	613	5	7033 20	DATE
ejpam-7033	614	1	3	CARDINAL
ejpam-7033	614	2	3	CARDINAL
ejpam-7033	614	3	2	CARDINAL
ejpam-7033	615	1	2	CARDINAL
ejpam-7033	615	2	2et	CARDINAL
ejpam-7033	616	1	2et	ORDINAL
ejpam-7033	617	1	3et	ORDINAL
ejpam-7033	618	1	29et 6	DATE
ejpam-7033	619	1	db3	ORG
ejpam-7033	619	2	3	CARDINAL
ejpam-7033	620	1	3	CARDINAL
ejpam-7033	620	2	ω	CARDINAL
ejpam-7033	620	3	2	CARDINAL
ejpam-7033	620	4	r(ϑ	GPE
ejpam-7033	620	5	ℏ(ϑ	GPE
ejpam-7033	620	6	0	CARDINAL
ejpam-7033	620	7	r(ϑ	GPE
ejpam-7033	621	1	3et 2	DATE
ejpam-7033	623	1	ℏ(ϑ	GPE
ejpam-7033	624	1	0	CARDINAL
ejpam-7033	625	1	2	CARDINAL
ejpam-7033	625	2	ω	CARDINAL
ejpam-7033	625	3	r(ϑ	GPE
ejpam-7033	625	4	6et	ORDINAL
ejpam-7033	626	1	ℏ(ϑ	GPE
ejpam-7033	627	1	3et 2	DATE
ejpam-7033	627	2	ω)(t	ORG
ejpam-7033	630	1	ℏ(ϑ	GPE
ejpam-7033	632	1	15et 4	DATE
ejpam-7033	633	1	ω	CARDINAL
ejpam-7033	633	2	2et	ORDINAL
ejpam-7033	633	3	r(ϑ	GPE
ejpam-7033	633	4	6et	ORDINAL
ejpam-7033	634	1	3et 2	DATE
ejpam-7033	634	2	ℏ(ϑ	GPE
ejpam-7033	635	1	ω)(t	ORG
ejpam-7033	638	1	ℏ(ϑ	GPE
ejpam-7033	640	1	3et 8	DATE
ejpam-7033	641	1	1	CARDINAL
ejpam-7033	641	2	2	CARDINAL
ejpam-7033	641	3	3	CARDINAL
ejpam-7033	643	1	ℏ(ϑ	GPE
ejpam-7033	644	1	sr(ϑ	PERSON
ejpam-7033	644	2	ω	GPE
ejpam-7033	644	3	ω	GPE
ejpam-7033	645	1	19	CARDINAL
ejpam-7033	646	1	3	CARDINAL
ejpam-7033	647	1	6	CARDINAL
ejpam-7033	647	2	19	CARDINAL
ejpam-7033	648	1	20	CARDINAL
ejpam-7033	652	1	x.	GPE
ejpam-7033	652	2	t ∈ b(e	ORG
ejpam-7033	654	1	0	CARDINAL
ejpam-7033	654	2	1	CARDINAL
ejpam-7033	654	3	19	CARDINAL
ejpam-7033	654	4	first	ORDINAL
ejpam-7033	654	5	1	CARDINAL
ejpam-7033	654	6	∈	ORG
ejpam-7033	654	7	2	CARDINAL
ejpam-7033	654	8	g(ϑ	ORG
ejpam-7033	654	9	σ))∥	CARDINAL
ejpam-7033	654	10	∈	ORG
ejpam-7033	654	11	σ	CARDINAL
ejpam-7033	655	1	0	CARDINAL
ejpam-7033	655	2	1	CARDINAL
ejpam-7033	655	3	a. arif et al	PERSON
ejpam-7033	656	1	j. pure	PERSON
ejpam-7033	656	2	18	CARDINAL
ejpam-7033	656	3	4	CARDINAL
ejpam-7033	656	4	2025	CARDINAL
ejpam-7033	656	5	7033 21	DATE
ejpam-7033	656	6	29	CARDINAL
ejpam-7033	656	7	3	CARDINAL
ejpam-7033	656	8	∈	ORG
ejpam-7033	656	9	∥r(ϑ	PERSON
ejpam-7033	656	10	1	CARDINAL
ejpam-7033	658	1	0	CARDINAL
ejpam-7033	658	2	1	CARDINAL
ejpam-7033	658	3	∈	ORG
ejpam-7033	659	1	p ⪯ h ⇔ ∥p∥ ≤ ∥h∥	ORG
ejpam-7033	659	2	∀ p	ORG
ejpam-7033	661	1	ω	GPE
ejpam-7033	662	1	sr(ϑ	PERSON
ejpam-7033	662	2	ω	GPE
ejpam-7033	663	1	19	CARDINAL
ejpam-7033	663	2	g(ω, ℘	ORG
ejpam-7033	663	3	ω	GPE
ejpam-7033	664	1	firstly	ORDINAL
ejpam-7033	664	2	0	CARDINAL
ejpam-7033	664	3	1	CARDINAL
ejpam-7033	665	1	⊆	CARDINAL
ejpam-7033	666	1	0	CARDINAL
ejpam-7033	666	2	1	CARDINAL
ejpam-7033	667	1	n ∈ n	PRODUCT
ejpam-7033	668	1	g(ϑ	ORG
ejpam-7033	670	1	r(ϑn	ORG
ejpam-7033	670	2	g(ϑm	GPE
ejpam-7033	670	3	℘m	ORG
ejpam-7033	672	1	r(ϑn	ORG
ejpam-7033	672	2	℘m	ORG
ejpam-7033	672	3	g(ϑm	GPE
ejpam-7033	672	4	℘m	ORG
ejpam-7033	673	1	r(ϑn	ORG
ejpam-7033	673	2	℘m	ORG
ejpam-7033	674	1	℘m	ORG
ejpam-7033	676	1	|℘n − ℘m|+m	PERSON
ejpam-7033	677	1	r(ϑn	ORG
ejpam-7033	682	1	0	CARDINAL
ejpam-7033	682	2	1	CARDINAL
ejpam-7033	682	3	lim n	PERSON
ejpam-7033	682	4	m→∞	CARDINAL
ejpam-7033	682	5	0e	CARDINAL
ejpam-7033	683	1	x.	GPE
ejpam-7033	683	2	∈	ORG
ejpam-7033	687	1	|℘n − ℘|+ ∥∥∥∥1st	PERSON
ejpam-7033	687	2	r(ϑn	ORG
ejpam-7033	688	1	a. arif et al	PERSON
ejpam-7033	689	1	j. pure	PERSON
ejpam-7033	689	2	18	CARDINAL
ejpam-7033	689	3	4	CARDINAL
ejpam-7033	689	4	2025	CARDINAL
ejpam-7033	689	5	7033 22	DATE
ejpam-7033	689	6	29	CARDINAL
ejpam-7033	690	1	0e	CARDINAL
ejpam-7033	691	1	0	CARDINAL
ejpam-7033	691	2	1	CARDINAL
ejpam-7033	692	1	0	CARDINAL
ejpam-7033	692	2	1	CARDINAL
ejpam-7033	694	1	⊆	CARDINAL
ejpam-7033	695	1	∈	ORG
ejpam-7033	696	1	0	CARDINAL
ejpam-7033	697	1	0	CARDINAL
ejpam-7033	698	1	1−∥t	CARDINAL
ejpam-7033	699	1	℘ ∈	PERSON
ejpam-7033	699	2	∈	PERSON
ejpam-7033	700	1	∈	ORG
ejpam-7033	700	2	∈	ORG
ejpam-7033	700	3	ϑ2)∥	ORG
ejpam-7033	701	1	g(ϑ	ORG
ejpam-7033	703	1	ϑ2)∥	ORG
ejpam-7033	704	1	− ℘1|+ ∥t (r(ϑ2	ORG
ejpam-7033	704	2	ϑ))∥ ≤	QUANTITY
ejpam-7033	704	3	℘	PERSON
ejpam-7033	704	4	19	CARDINAL
ejpam-7033	705	1	0	CARDINAL
ejpam-7033	705	2	1	CARDINAL
ejpam-7033	707	1	0	CARDINAL
ejpam-7033	707	2	1	CARDINAL
ejpam-7033	708	1	1	CARDINAL
ejpam-7033	708	2	6.1	CARDINAL
ejpam-7033	709	1	homotopy	ORG
ejpam-7033	712	1	one year old	DATE
ejpam-7033	713	1	0	CARDINAL
ejpam-7033	713	2	1	CARDINAL
ejpam-7033	713	3	= ℏ(α	PERSON
ejpam-7033	714	1	n years old	DATE
ejpam-7033	715	1	1	CARDINAL
ejpam-7033	715	2	= ℏ(α	PERSON
ejpam-7033	723	1	0	CARDINAL
ejpam-7033	726	1	0	CARDINAL
ejpam-7033	726	2	homotopy	ORG
ejpam-7033	729	1	∈	ORG
ejpam-7033	729	2	∈	ORG
ejpam-7033	731	1	= ℏ(α	PERSON
ejpam-7033	732	1	a. arif et al	PERSON
ejpam-7033	733	1	j. pure	PERSON
ejpam-7033	733	2	18	CARDINAL
ejpam-7033	733	3	4	CARDINAL
ejpam-7033	733	4	2025	CARDINAL
ejpam-7033	733	5	7033 23	DATE
ejpam-7033	733	6	29	CARDINAL
ejpam-7033	733	7	21	CARDINAL
ejpam-7033	735	1	η(0	ORG
ejpam-7033	739	1	7	CARDINAL
ejpam-7033	739	2	13	CARDINAL
ejpam-7033	740	1	ir k1(℘	PERSON
ejpam-7033	740	2	s,ϖ(s))ds	ORG
ejpam-7033	741	1	12	CARDINAL
ejpam-7033	743	1	uie	PERSON
ejpam-7033	743	2	uie	PERSON
ejpam-7033	744	1	uie	PERSON
ejpam-7033	744	2	41–43	CARDINAL
ejpam-7033	745	1	uie	PERSON
ejpam-7033	748	1	j 2 ir	PERSON
ejpam-7033	748	2	0,∞	DATE
ejpam-7033	748	3	∥ϖ∥2	DATE
ejpam-7033	748	4	∈	ORG
ejpam-7033	750	1	∈	ORG
ejpam-7033	750	2	1	CARDINAL
ejpam-7033	751	1	j 2 ir	PERSON
ejpam-7033	753	1	∈	ORG
ejpam-7033	756	1	r∥22,y	DATE
ejpam-7033	756	2	∈	ORG
ejpam-7033	756	3	∀a	ORG
ejpam-7033	756	4	∈	ORG
ejpam-7033	758	1	ir× ir×	PERSON
ejpam-7033	759	1	|k1(c	GPE
ejpam-7033	760	1	w	GPE
ejpam-7033	760	2	∈	ORG
ejpam-7033	760	3	2(ir×	LAW
ejpam-7033	760	4	e(℘	PERSON
ejpam-7033	760	5	1,∞	CARDINAL
ejpam-7033	760	6	a. arif et al	PERSON
ejpam-7033	761	1	j. pure	PERSON
ejpam-7033	761	2	18	CARDINAL
ejpam-7033	761	3	4	CARDINAL
ejpam-7033	761	4	2025	CARDINAL
ejpam-7033	761	5	24	CARDINAL
ejpam-7033	761	6	29	CARDINAL
ejpam-7033	763	1	∫ ir |k1(℘	PERSON
ejpam-7033	763	2	ds ≤ c.	PERSON
ejpam-7033	763	3	∈	ORG
ejpam-7033	763	4	∃	GPE
ejpam-7033	767	1	ir× ir	PERSON
ejpam-7033	768	1	1	CARDINAL
ejpam-7033	768	2	s,ϖ(s))−k1(℘	GPE
ejpam-7033	768	3	q(℘	GPE
ejpam-7033	768	4	s)|ϖ(s)− r(s)|	PERSON
ejpam-7033	768	5	ϖ ⪯ r. theorem 22	PERSON
ejpam-7033	772	1	ir k1(℘	PERSON
ejpam-7033	772	2	s,ϖ(s))ds	ORG
ejpam-7033	775	1	ir k1(℘	PERSON
ejpam-7033	775	2	s,ϖ(s))ds ≥ 1	ORG
ejpam-7033	777	1	41	CARDINAL
ejpam-7033	777	2	3	CARDINAL
ejpam-7033	778	1	d4	ORG
ejpam-7033	778	2	∀ n ≥ 0.	ORG
ejpam-7033	779	1	13	CARDINAL
ejpam-7033	780	1	ir k1(℘	PERSON
ejpam-7033	781	1	ir k1(℘	PERSON
ejpam-7033	781	2	a. arif et al	PERSON
ejpam-7033	782	1	j. pure	PERSON
ejpam-7033	782	2	18	CARDINAL
ejpam-7033	782	3	4	CARDINAL
ejpam-7033	782	4	2025	CARDINAL
ejpam-7033	782	5	7033 25	DATE
ejpam-7033	782	6	29	CARDINAL
ejpam-7033	782	7	s,ϖ(s))−k1(℘	GPE
ejpam-7033	782	8	r(s))| ds 2 ⪯ ϖ	PERSON
ejpam-7033	782	9	q(℘	GPE
ejpam-7033	782	10	s)|ϖ(s)− r(s)| ds 2 ⪯	PERSON
ejpam-7033	783	1	∫ ir	PERSON
ejpam-7033	785	1	ir α(℘)∫ ir	PERSON
ejpam-7033	785	2	d℘ =	PERSON
ejpam-7033	786	1	∫ ir α(℘)ey ∫ir α(s)ds	PERSON
ejpam-7033	786	2	∫ ir	PERSON
ejpam-7033	786	3	d℘ ⪯	PERSON
ejpam-7033	789	1	d℘ ⪯ ϖ	PERSON
ejpam-7033	789	2	1	CARDINAL
ejpam-7033	790	1	d℘ ⪯ ϖ	PERSON
ejpam-7033	791	1	1	CARDINAL
ejpam-7033	792	1	1	CARDINAL
ejpam-7033	793	1	y cy(ϖ	PERSON
ejpam-7033	793	2	j (p1	PERSON
ejpam-7033	794	1	kp1 −	PERSON
ejpam-7033	794	2	1	CARDINAL
ejpam-7033	794	3	a. arif et al	PERSON
ejpam-7033	795	1	j. pure	PERSON
ejpam-7033	795	2	18	CARDINAL
ejpam-7033	795	3	4	CARDINAL
ejpam-7033	795	4	2025	CARDINAL
ejpam-7033	795	5	26	CARDINAL
ejpam-7033	795	6	29	CARDINAL
ejpam-7033	795	7	c(ϖ	GPE
ejpam-7033	795	8	c(r	ORG
ejpam-7033	795	9	c(r	ORG
ejpam-7033	795	10	0e	CARDINAL
ejpam-7033	796	1	13	CARDINAL
ejpam-7033	796	2	uie	PERSON
ejpam-7033	796	3	12	CARDINAL
ejpam-7033	797	1	8	CARDINAL
ejpam-7033	798	1	1	CARDINAL
ejpam-7033	798	2	4	DATE
ejpam-7033	798	3	34	CARDINAL
ejpam-7033	801	1	44	CARDINAL
ejpam-7033	803	1	taif university	ORG
ejpam-7033	803	2	saudi arabia	GPE
ejpam-7033	803	3	9	CARDINAL
ejpam-7033	806	1	10	CARDINAL
ejpam-7033	808	1	1	CARDINAL
ejpam-7033	810	1	studii şi cercetări ştiinţifice	PERSON
ejpam-7033	811	1	7:127–134, 1997	DATE
ejpam-7033	812	1	2	CARDINAL
ejpam-7033	812	2	r. george	PERSON
ejpam-7033	812	3	h. a. nabwey	PERSON
ejpam-7033	812	4	r. rajagopalan	PERSON
ejpam-7033	812	5	s. radenović	PERSON
ejpam-7033	812	6	k. p. reshma	PERSON
ejpam-7033	814	1	14, 2017	DATE
ejpam-7033	815	1	a. arif et al	PERSON
ejpam-7033	816	1	j. pure	PERSON
ejpam-7033	816	2	18	CARDINAL
ejpam-7033	816	3	4	CARDINAL
ejpam-7033	816	4	2025	CARDINAL
ejpam-7033	816	5	7033 27	DATE
ejpam-7033	816	6	29	CARDINAL
ejpam-7033	817	1	3	CARDINAL
ejpam-7033	817	2	z. ercan	PERSON
ejpam-7033	819	1	166:10–14,	DATE
ejpam-7033	819	2	2014	DATE
ejpam-7033	820	1	4	CARDINAL
ejpam-7033	820	2	a. c. m.	PERSON
ejpam-7033	820	3	m. c. b.	PERSON
ejpam-7033	822	1	american	NORP
ejpam-7033	822	2	132:1435–1443, 2004	DATE
ejpam-7033	823	1	5	CARDINAL
ejpam-7033	824	1	sur les opérations dans les	ORG
ejpam-7033	824	2	aux équations	ORG
ejpam-7033	825	1	fundamenta mathematicae	ORG
ejpam-7033	825	2	3:133–181	CARDINAL
ejpam-7033	825	3	1922	DATE
ejpam-7033	826	1	6	CARDINAL
ejpam-7033	826	2	j. j. nieto	PERSON
ejpam-7033	826	3	r. rodŕıguez-lópez	PERSON
ejpam-7033	828	1	acta mathematica sinica	PERSON
ejpam-7033	828	2	23:2205–2212	CARDINAL
ejpam-7033	828	3	2007	DATE
ejpam-7033	829	1	7	CARDINAL
ejpam-7033	829	2	d. o’regan	PERSON
ejpam-7033	829	3	a. petruşel	PERSON
ejpam-7033	831	1	341:1241	CARDINAL
ejpam-7033	831	2	1252, 2008	DATE
ejpam-7033	832	1	8	CARDINAL
ejpam-7033	832	2	a. r. butt	PERSON
ejpam-7033	834	1	71:3699–3704	GPE
ejpam-7033	834	2	2009	DATE
ejpam-7033	835	1	9	CARDINAL
ejpam-7033	835	2	a. r. butt	PERSON
ejpam-7033	837	1	carpathian journal of mathematics	ORG
ejpam-7033	837	2	25:1–12	CARDINAL
ejpam-7033	837	3	2009	DATE
ejpam-7033	838	1	10	CARDINAL
ejpam-7033	840	1	carpathian	NORP
ejpam-7033	840	2	27:13–23, 2011	DATE
ejpam-7033	841	1	11	CARDINAL
ejpam-7033	841	2	f. vetro	PERSON
ejpam-7033	843	1	105, 2012	DATE
ejpam-7033	844	1	12	CARDINAL
ejpam-7033	844	2	i. altun	PERSON
ejpam-7033	846	1	2:189–196, 2008	DATE
ejpam-7033	847	1	13	CARDINAL
ejpam-7033	847	2	i. altun	PERSON
ejpam-7033	847	3	h. simsek	PERSON
ejpam-7033	849	1	621469, 2010	DATE
ejpam-7033	850	1	14	CARDINAL
ejpam-7033	850	2	m. a. el-gebeily	PERSON
ejpam-7033	850	3	d. o’regan	PERSON
ejpam-7033	852	1	87:1–8, 2008	DATE
ejpam-7033	853	1	15	CARDINAL
ejpam-7033	853	2	j. jachymski	PERSON
ejpam-7033	855	1	american	NORP
ejpam-7033	855	2	136:1359–1373, 2008	DATE
ejpam-7033	856	1	16	CARDINAL
ejpam-7033	856	2	s. b. nadler	PERSON
ejpam-7033	857	1	pacific journal of mathematics	ORG
ejpam-7033	857	2	30:475–488	CARDINAL
ejpam-7033	857	3	1969	DATE
ejpam-7033	858	1	17	CARDINAL
ejpam-7033	858	2	l. s. abbasi	PERSON
ejpam-7033	858	3	s. jain	PERSON
ejpam-7033	860	1	30:833–844	CARDINAL
ejpam-7033	860	2	2022	CARDINAL
ejpam-7033	861	1	18	CARDINAL
ejpam-7033	861	2	h. a. hammad	PERSON
ejpam-7033	861	3	p. agarwal	PERSON
ejpam-7033	861	4	juan l. g. guirao	PERSON
ejpam-7033	863	1	2021	DATE
ejpam-7033	864	1	19	CARDINAL
ejpam-7033	864	2	c. vetro	PERSON
ejpam-7033	866	1	75:2154–2165	CARDINAL
ejpam-7033	866	2	2012	DATE
ejpam-7033	867	1	20	CARDINAL
ejpam-7033	867	2	e. karapinar	PERSON
ejpam-7033	867	3	a. fulga	PERSON
ejpam-7033	867	4	r. p. agarwal	PERSON
ejpam-7033	868	1	a. arif et al	PERSON
ejpam-7033	869	1	j. pure	PERSON
ejpam-7033	869	2	18	CARDINAL
ejpam-7033	869	3	4	CARDINAL
ejpam-7033	869	4	2025	CARDINAL
ejpam-7033	869	5	7033 28	DATE
ejpam-7033	869	6	29	CARDINAL
ejpam-7033	870	1	22:69, 2020	DATE
ejpam-7033	871	1	21	CARDINAL
ejpam-7033	871	2	l. g. huang	PERSON
ejpam-7033	871	3	x. zhang	PERSON
ejpam-7033	873	1	332(2):1468–1476, 2007	DATE
ejpam-7033	874	1	22	CARDINAL
ejpam-7033	874	2	s. rezapour	PERSON
ejpam-7033	874	3	r. hamlbarani	PERSON
ejpam-7033	876	1	345:719–724, 2008	DATE
ejpam-7033	877	1	23	CARDINAL
ejpam-7033	877	2	s. czerwik	PERSON
ejpam-7033	879	1	del seminario matematico e fisico dell’università di modena	PERSON
ejpam-7033	879	2	46:263–276	CARDINAL
ejpam-7033	879	3	1998	DATE
ejpam-7033	880	1	24	CARDINAL
ejpam-7033	880	2	n. hussian	PERSON
ejpam-7033	880	3	m. h. shah	PERSON
ejpam-7033	881	1	kkm	PERSON
ejpam-7033	882	1	62:1677–1684, 2011	DATE
ejpam-7033	883	1	25	CARDINAL
ejpam-7033	883	2	h. huang	PERSON
ejpam-7033	883	3	s. xu	PERSON
ejpam-7033	885	1	112, 2013	DATE
ejpam-7033	886	1	26	CARDINAL
ejpam-7033	886	2	a. arif	PERSON
ejpam-7033	886	3	m. nazam	PERSON
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