id	sid	eid	entity	type
ejpam-6538	1	1	european journal	ORG
ejpam-6538	1	2	2025	DATE
ejpam-6538	1	3	18	CARDINAL
ejpam-6538	1	4	3	CARDINAL
ejpam-6538	1	5	6538	CARDINAL
ejpam-6538	1	6	1307-5543	DATE
ejpam-6538	1	7	new york	GPE
ejpam-6538	1	8	two	CARDINAL
ejpam-6538	1	9	charoenpol1	PERSON
ejpam-6538	1	10	1	CARDINAL
ejpam-6538	1	11	rajamangala university of technology	ORG
ejpam-6538	1	12	kaen 40000	PERSON
ejpam-6538	1	13	thailand	GPE
ejpam-6538	2	1	2	CARDINAL
ejpam-6538	2	2	kaen university	ORG
ejpam-6538	2	3	kaen 40002	PERSON
ejpam-6538	2	4	thailand	GPE
ejpam-6538	4	1	ofa	PRODUCT
ejpam-6538	6	1	two	CARDINAL
ejpam-6538	7	1	2020	DATE
ejpam-6538	7	2	06c05, 08a60	PERCENT
ejpam-6538	7	3	1	CARDINAL
ejpam-6538	7	4	one	CARDINAL
ejpam-6538	8	1	1	CARDINAL
ejpam-6538	8	2	2	CARDINAL
ejpam-6538	10	1	3	CARDINAL
ejpam-6538	14	1	∈	ORG
ejpam-6538	14	2	∈	ORG
ejpam-6538	15	1	max	PERSON
ejpam-6538	16	1	∈	ORG
ejpam-6538	18	1	a. charoenpol	PERSON
ejpam-6538	19	1	1	CARDINAL
ejpam-6538	19	2	2025	CARDINAL
ejpam-6538	20	1	a. charoenpol	PERSON
ejpam-6538	20	2	u. chotwattakawanit	ORG
ejpam-6538	21	1	j. pure	PERSON
ejpam-6538	21	2	18	CARDINAL
ejpam-6538	21	3	3	CARDINAL
ejpam-6538	21	4	2025	CARDINAL
ejpam-6538	21	5	6538 2	DATE
ejpam-6538	21	6	13	CARDINAL
ejpam-6538	21	7	ht(a	ORG
ejpam-6538	22	1	4	CARDINAL
ejpam-6538	23	1	a.	PERSON
ejpam-6538	23	2	5–9	CARDINAL
ejpam-6538	24	1	λ(f	PERSON
ejpam-6538	28	1	10	CARDINAL
ejpam-6538	28	2	11	CARDINAL
ejpam-6538	28	3	ℓ(l	PRODUCT
ejpam-6538	28	4	1	CARDINAL
ejpam-6538	31	1	two	CARDINAL
ejpam-6538	31	2	10	CARDINAL
ejpam-6538	31	3	gn	ORG
ejpam-6538	31	4	1	CARDINAL
ejpam-6538	31	5	2	CARDINAL
ejpam-6538	31	6	3	CARDINAL
ejpam-6538	33	1	pppp ppp ppp	ORG
ejpam-6538	34	1	a1,1 a1,0 a2,n	ORG
ejpam-6538	34	2	a2,5 a2,4	ORG
ejpam-6538	34	3	2	CARDINAL
ejpam-6538	34	4	2	CARDINAL
ejpam-6538	34	5	2	CARDINAL
ejpam-6538	34	6	2	CARDINAL
ejpam-6538	34	7	1	CARDINAL
ejpam-6538	35	1	2	CARDINAL
ejpam-6538	35	2	1a	CARDINAL
ejpam-6538	35	3	0a	CARDINAL
ejpam-6538	35	4	1	CARDINAL
ejpam-6538	35	5	0	CARDINAL
ejpam-6538	36	1	a. charoenpol	PERSON
ejpam-6538	36	2	u. chotwattakawanit	ORG
ejpam-6538	37	1	j. pure	PERSON
ejpam-6538	37	2	18	CARDINAL
ejpam-6538	37	3	3	CARDINAL
ejpam-6538	37	4	2025	CARDINAL
ejpam-6538	37	5	6538 3	DATE
ejpam-6538	37	6	13	CARDINAL
ejpam-6538	38	1	pppp ppp ppp	ORG
ejpam-6538	39	1	a1,1 a1,0 a2,n	ORG
ejpam-6538	40	1	a3,n	GPE
ejpam-6538	40	2	a3,n−1	GPE
ejpam-6538	40	3	2	CARDINAL
ejpam-6538	40	4	2	CARDINAL
ejpam-6538	40	5	2	CARDINAL
ejpam-6538	40	6	2	CARDINAL
ejpam-6538	40	7	2	DATE
ejpam-6538	40	8	2	CARDINAL
ejpam-6538	40	9	2	CARDINAL
ejpam-6538	41	1	f(a ∨	ORG
ejpam-6538	41	2	f(b	GPE
ejpam-6538	41	3	f(b	GPE
ejpam-6538	41	4	11	CARDINAL
ejpam-6538	41	5	6	CARDINAL
ejpam-6538	41	6	1	CARDINAL
ejpam-6538	42	1	11	CARDINAL
ejpam-6538	43	1	0	CARDINAL
ejpam-6538	45	1	f(1	PERSON
ejpam-6538	45	2	1 (1	CARDINAL
ejpam-6538	45	3	f(0	PERSON
ejpam-6538	47	1	1	CARDINAL
ejpam-6538	47	2	2	CARDINAL
ejpam-6538	47	3	1	CARDINAL
ejpam-6538	48	1	1	CARDINAL
ejpam-6538	48	2	f(0	PERSON
ejpam-6538	48	3	0	CARDINAL
ejpam-6538	49	1	n ∈ n	ORG
ejpam-6538	49	2	0	CARDINAL
ejpam-6538	50	1	2	CARDINAL
ejpam-6538	50	2	1	CARDINAL
ejpam-6538	51	1	n ∈ n	ORG
ejpam-6538	51	2	0	CARDINAL
ejpam-6538	51	3	1	CARDINAL
ejpam-6538	52	1	1̄ ≺ 2̄ ≺	DATE
ejpam-6538	53	1	1	CARDINAL
ejpam-6538	53	2	m. a. charoenpol	PERSON
ejpam-6538	53	3	u. chotwattakawanit	ORG
ejpam-6538	54	1	j. pure	PERSON
ejpam-6538	54	2	18	CARDINAL
ejpam-6538	54	3	3	CARDINAL
ejpam-6538	54	4	2025	CARDINAL
ejpam-6538	54	5	6538 4	DATE
ejpam-6538	54	6	13	CARDINAL
ejpam-6538	56	1	b2,2 b2,3 b2,n	PERSON
ejpam-6538	56	2	3	CARDINAL
ejpam-6538	56	3	gn	ORG
ejpam-6538	56	4	n ≥ 2	DATE
ejpam-6538	56	5	2	CARDINAL
ejpam-6538	57	1	10	CARDINAL
ejpam-6538	57	2	∈	ORG
ejpam-6538	57	3	φm×2	ORG
ejpam-6538	57	4	2	CARDINAL
ejpam-6538	57	5	1	CARDINAL
ejpam-6538	57	6	1	CARDINAL
ejpam-6538	57	7	1	CARDINAL
ejpam-6538	57	8	1	CARDINAL
ejpam-6538	58	1	1	CARDINAL
ejpam-6538	58	2	10	CARDINAL
ejpam-6538	58	3	mpp endomorphisms	ORG
ejpam-6538	59	1	3	CARDINAL
ejpam-6538	59	2	∈	ORG
ejpam-6538	60	1	2	CARDINAL
ejpam-6538	61	1	2	CARDINAL
ejpam-6538	61	2	ζ(m	ORG
ejpam-6538	61	3	m−1)(i	GPE
ejpam-6538	61	4	j, i− 1	ORG
ejpam-6538	63	1	mpp endomorphisms	ORG
ejpam-6538	63	2	c2 m	ORG
ejpam-6538	64	1	1	CARDINAL
ejpam-6538	65	1	10	CARDINAL
ejpam-6538	65	2	n ≥ 3	DATE
ejpam-6538	65	3	m− k	PERSON
ejpam-6538	65	4	m− k	PERSON
ejpam-6538	65	5	0 ≤ k ≤ min	QUANTITY
ejpam-6538	65	6	1	CARDINAL
ejpam-6538	65	7	2	CARDINAL
ejpam-6538	65	8	m− k	PERSON
ejpam-6538	65	9	m−	PERSON
ejpam-6538	65	10	n− k	PERSON
ejpam-6538	65	11	0 ≤ k ≤ min	QUANTITY
ejpam-6538	65	12	2	CARDINAL
ejpam-6538	65	13	1	CARDINAL
ejpam-6538	66	1	4	CARDINAL
ejpam-6538	67	1	10	CARDINAL
ejpam-6538	68	1	n| ≤ 1	DATE
ejpam-6538	68	2	a. charoenpol	PERSON
ejpam-6538	68	3	u. chotwattakawanit	ORG
ejpam-6538	69	1	j. pure	PERSON
ejpam-6538	69	2	18	CARDINAL
ejpam-6538	69	3	3	CARDINAL
ejpam-6538	69	4	2025	CARDINAL
ejpam-6538	69	5	6538 5	DATE
ejpam-6538	70	1	mpp endomorphisms	ORG
ejpam-6538	70	2	two	CARDINAL
ejpam-6538	70	3	end(a	GPE
ejpam-6538	70	4	φ	PERSON
ejpam-6538	70	5	φ(f	GPE
ejpam-6538	73	1	φ	ORG
ejpam-6538	75	1	f ∈ end(a	ORG
ejpam-6538	87	1	λ(g	PRODUCT
ejpam-6538	88	1	λ(g	PRODUCT
ejpam-6538	89	1	λ(g	EVENT
ejpam-6538	92	1	1	CARDINAL
ejpam-6538	93	1	ϕ(i	ORG
ejpam-6538	94	1	m−	NORP
ejpam-6538	94	2	j + 1	LAW
ejpam-6538	95	1	ψ(x	ORG
ejpam-6538	96	1	a. charoenpol	PERSON
ejpam-6538	96	2	u. chotwattakawanit	ORG
ejpam-6538	97	1	j. pure	PERSON
ejpam-6538	97	2	18	CARDINAL
ejpam-6538	97	3	3	CARDINAL
ejpam-6538	97	4	2025	CARDINAL
ejpam-6538	97	5	6538 6	DATE
ejpam-6538	97	6	13	DATE
ejpam-6538	97	7	∈	ORG
ejpam-6538	101	1	4	CARDINAL
ejpam-6538	101	2	mpp endomorphisms	ORG
ejpam-6538	101	3	1	CARDINAL
ejpam-6538	102	1	2	CARDINAL
ejpam-6538	104	1	2̄	CARDINAL
ejpam-6538	104	2	1	CARDINAL
ejpam-6538	104	3	2̄	CARDINAL
ejpam-6538	104	4	2̄	CARDINAL
ejpam-6538	104	5	m−	PERSON
ejpam-6538	104	6	1	CARDINAL
ejpam-6538	104	7	3	CARDINAL
ejpam-6538	104	8	1	CARDINAL
ejpam-6538	104	9	f(i	GPE
ejpam-6538	104	10	2̄	CARDINAL
ejpam-6538	104	11	f(t	ORG
ejpam-6538	104	12	2̄	CARDINAL
ejpam-6538	104	13	1	CARDINAL
ejpam-6538	104	14	2̄	CARDINAL
ejpam-6538	105	1	2̄	CARDINAL
ejpam-6538	106	1	m−	PERSON
ejpam-6538	106	2	1	CARDINAL
ejpam-6538	107	1	2̄	CARDINAL
ejpam-6538	107	2	2̄	CARDINAL
ejpam-6538	107	3	2̄	CARDINAL
ejpam-6538	108	1	some 1 ≤ k ≤ m.	QUANTITY
ejpam-6538	109	1	2̄	CARDINAL
ejpam-6538	109	2	1	CARDINAL
ejpam-6538	109	3	1	CARDINAL
ejpam-6538	110	1	2̄	CARDINAL
ejpam-6538	111	1	2̄	CARDINAL
ejpam-6538	111	2	1	CARDINAL
ejpam-6538	111	3	m−	PERSON
ejpam-6538	111	4	1	CARDINAL
ejpam-6538	112	1	1	CARDINAL
ejpam-6538	112	2	2̄	CARDINAL
ejpam-6538	112	3	1	CARDINAL
ejpam-6538	112	4	2̄	CARDINAL
ejpam-6538	113	1	1	CARDINAL
ejpam-6538	113	2	2̄	CARDINAL
ejpam-6538	113	3	m−	PERSON
ejpam-6538	113	4	1	CARDINAL
ejpam-6538	114	1	1	CARDINAL
ejpam-6538	114	2	1	CARDINAL
ejpam-6538	115	1	m−	PERSON
ejpam-6538	115	2	2	CARDINAL
ejpam-6538	116	1	2	CARDINAL
ejpam-6538	116	2	2̄	CARDINAL
ejpam-6538	116	3	2̄	CARDINAL
ejpam-6538	117	1	m−	PERSON
ejpam-6538	117	2	1	CARDINAL
ejpam-6538	117	3	2	CARDINAL
ejpam-6538	117	4	2̄	CARDINAL
ejpam-6538	118	1	some 1 ≤ k ≤ m− 1	QUANTITY
ejpam-6538	119	1	1	CARDINAL
ejpam-6538	119	2	1, 2̄	CARDINAL
ejpam-6538	119	3	1	CARDINAL
ejpam-6538	119	4	2	DATE
ejpam-6538	119	5	2̄	CARDINAL
ejpam-6538	119	6	m−	PERSON
ejpam-6538	119	7	2	CARDINAL
ejpam-6538	119	8	k = m−	PERSON
ejpam-6538	119	9	1	CARDINAL
ejpam-6538	120	1	2	CARDINAL
ejpam-6538	120	2	1	CARDINAL
ejpam-6538	120	3	2	CARDINAL
ejpam-6538	120	4	2̄	CARDINAL
ejpam-6538	121	1	m−	PERSON
ejpam-6538	121	2	2	CARDINAL
ejpam-6538	121	3	1	CARDINAL
ejpam-6538	121	4	m−	PERSON
ejpam-6538	121	5	2	CARDINAL
ejpam-6538	121	6	1	CARDINAL
ejpam-6538	121	7	2	CARDINAL
ejpam-6538	121	8	1	CARDINAL
ejpam-6538	121	9	3	CARDINAL
ejpam-6538	121	10	1	CARDINAL
ejpam-6538	121	11	f(i	GPE
ejpam-6538	122	1	2̄	CARDINAL
ejpam-6538	122	2	f(t	ORG
ejpam-6538	122	3	2̄	CARDINAL
ejpam-6538	123	1	2̄	CARDINAL
ejpam-6538	123	2	2̄	CARDINAL
ejpam-6538	123	3	2̄	CARDINAL
ejpam-6538	124	1	a. charoenpol	PERSON
ejpam-6538	124	2	u. chotwattakawanit	ORG
ejpam-6538	125	1	j. pure	PERSON
ejpam-6538	125	2	18	CARDINAL
ejpam-6538	125	3	3	CARDINAL
ejpam-6538	125	4	2025	CARDINAL
ejpam-6538	125	5	6538 7	DATE
ejpam-6538	125	6	13	DATE
ejpam-6538	126	1	f(j	ORG
ejpam-6538	127	1	2̄	CARDINAL
ejpam-6538	127	2	f(t+ 1	DATE
ejpam-6538	128	1	f(t+ 2	DATE
ejpam-6538	128	2	f(t+ 1, 2̄	DATE
ejpam-6538	128	3	1	CARDINAL
ejpam-6538	128	4	2̄	CARDINAL
ejpam-6538	128	5	2̄	CARDINAL
ejpam-6538	128	6	t, 2̄	DATE
ejpam-6538	129	1	2̄	CARDINAL
ejpam-6538	129	2	f(t+ 1	DATE
ejpam-6538	129	3	2̄	CARDINAL
ejpam-6538	130	1	1	CARDINAL
ejpam-6538	130	2	1	CARDINAL
ejpam-6538	130	3	5	CARDINAL
ejpam-6538	131	1	2	CARDINAL
ejpam-6538	133	1	φm×2	ORG
ejpam-6538	134	1	3	CARDINAL
ejpam-6538	134	2	φm×2	ORG
ejpam-6538	135	1	3	CARDINAL
ejpam-6538	136	1	3	CARDINAL
ejpam-6538	137	1	cm×cm−1	ORG
ejpam-6538	137	2	cm × cm−1	ORG
ejpam-6538	139	1	c2 × c2	ORG
ejpam-6538	140	1	f(2̄	ORG
ejpam-6538	140	2	2̄	CARDINAL
ejpam-6538	140	3	2̄	CARDINAL
ejpam-6538	140	4	f(2̄	ORG
ejpam-6538	140	5	2̄	CARDINAL
ejpam-6538	140	6	2̄	CARDINAL
ejpam-6538	141	1	f(2̄	ORG
ejpam-6538	141	2	2̄	CARDINAL
ejpam-6538	141	3	2̄	CARDINAL
ejpam-6538	142	1	f(2̄	ORG
ejpam-6538	143	1	2̄	CARDINAL
ejpam-6538	143	2	2̄	CARDINAL
ejpam-6538	143	3	2̄	CARDINAL
ejpam-6538	143	4	2̄	CARDINAL
ejpam-6538	143	5	2̄	CARDINAL
ejpam-6538	143	6	2̄	CARDINAL
ejpam-6538	144	1	f(2̄	ORG
ejpam-6538	144	2	2̄	CARDINAL
ejpam-6538	144	3	2̄	CARDINAL
ejpam-6538	146	1	2	CARDINAL
ejpam-6538	147	1	c3 ×	ORG
ejpam-6538	148	1	lemma 2 (	ORG
ejpam-6538	148	2	f(3	ORG
ejpam-6538	148	3	2̄	CARDINAL
ejpam-6538	148	4	2	CARDINAL
ejpam-6538	148	5	2̄	CARDINAL
ejpam-6538	148	6	f(3	ORG
ejpam-6538	148	7	2	CARDINAL
ejpam-6538	148	8	2̄	CARDINAL
ejpam-6538	151	1	ζ(2,1	PERSON
ejpam-6538	152	1	f(2̄	ORG
ejpam-6538	152	2	2̄	CARDINAL
ejpam-6538	152	3	2̄	CARDINAL
ejpam-6538	153	1	2̄	CARDINAL
ejpam-6538	153	2	2̄	CARDINAL
ejpam-6538	153	3	2̄	CARDINAL
ejpam-6538	153	4	2̄	CARDINAL
ejpam-6538	153	5	f(3	ORG
ejpam-6538	153	6	2̄	CARDINAL
ejpam-6538	153	7	2̄	CARDINAL
ejpam-6538	153	8	∨ f(3	PERSON
ejpam-6538	153	9	2̄	CARDINAL
ejpam-6538	153	10	∨ f(3	PERSON
ejpam-6538	153	11	f(3	ORG
ejpam-6538	153	12	2̄	CARDINAL
ejpam-6538	157	1	f(2̄	ORG
ejpam-6538	157	2	2̄	CARDINAL
ejpam-6538	157	3	2̄	CARDINAL
ejpam-6538	157	4	f(2̄	ORG
ejpam-6538	157	5	2̄	CARDINAL
ejpam-6538	158	1	2̄	CARDINAL
ejpam-6538	158	2	2̄	CARDINAL
ejpam-6538	158	3	2̄	CARDINAL
ejpam-6538	158	4	2̄	CARDINAL
ejpam-6538	158	5	2̄	CARDINAL
ejpam-6538	158	6	f(3	ORG
ejpam-6538	158	7	2̄	CARDINAL
ejpam-6538	158	8	2̄	CARDINAL
ejpam-6538	158	9	∨ f(3	PERSON
ejpam-6538	158	10	2̄	CARDINAL
ejpam-6538	158	11	∨ f(3	PERSON
ejpam-6538	158	12	a. charoenpol	PERSON
ejpam-6538	158	13	u. chotwattakawanit	ORG
ejpam-6538	159	1	j. pure	PERSON
ejpam-6538	159	2	18	CARDINAL
ejpam-6538	159	3	3	CARDINAL
ejpam-6538	159	4	2025	CARDINAL
ejpam-6538	159	5	6538 8	DATE
ejpam-6538	159	6	13	CARDINAL
ejpam-6538	159	7	f(3	ORG
ejpam-6538	159	8	2̄	CARDINAL
ejpam-6538	159	9	2̄	CARDINAL
ejpam-6538	161	1	lemma 2 (ii	ORG
ejpam-6538	163	1	2	CARDINAL
ejpam-6538	165	1	lemma 1	ORG
ejpam-6538	165	2	f2k(m	PRODUCT
ejpam-6538	166	1	m− k	PERSON
ejpam-6538	166	2	m− k	PERSON
ejpam-6538	166	3	m− k	PERSON
ejpam-6538	166	4	m−	PERSON
ejpam-6538	166	5	0 ≤ k ≤ m− 2	QUANTITY
ejpam-6538	166	6	0 ≤ k ≤ m− 2	QUANTITY
ejpam-6538	166	7	m− k	PERSON
ejpam-6538	166	8	m− k	PERSON
ejpam-6538	166	9	m−	PERSON
ejpam-6538	168	1	m− k	PERSON
ejpam-6538	168	2	m− k	PERSON
ejpam-6538	168	3	m−	PERSON
ejpam-6538	168	4	m− k	PERSON
ejpam-6538	168	5	f(i	PERSON
ejpam-6538	168	6	m− k	PERSON
ejpam-6538	168	7	m− k	PERSON
ejpam-6538	168	8	3	CARDINAL
ejpam-6538	168	9	f(i	PERSON
ejpam-6538	168	10	m−	PERSON
ejpam-6538	171	1	f(i	PERSON
ejpam-6538	171	2	m− k	PERSON
ejpam-6538	171	3	m−	PERSON
ejpam-6538	172	1	m− k	PERSON
ejpam-6538	172	2	m−	PERSON
ejpam-6538	174	1	m− k	PERSON
ejpam-6538	174	2	m−	PERSON
ejpam-6538	175	1	4	CARDINAL
ejpam-6538	175	2	m− k	PERSON
ejpam-6538	175	3	m−	PERSON
ejpam-6538	177	1	m− k	PERSON
ejpam-6538	179	1	m− k	PERSON
ejpam-6538	179	2	m−	PERSON
ejpam-6538	179	3	j,m− (	WORK_OF_ART
ejpam-6538	179	4	m− k.	PERSON
ejpam-6538	180	1	5	CARDINAL
ejpam-6538	180	2	3	CARDINAL
ejpam-6538	180	3	5	CARDINAL
ejpam-6538	180	4	1	CARDINAL
ejpam-6538	180	5	cm−1 × cm−1	ORG
ejpam-6538	181	1	cm−1×cm−1	ORG
ejpam-6538	182	1	cm−1×cm−1=	PERSON
ejpam-6538	182	2	f(r	PERSON
ejpam-6538	182	3	1	CARDINAL
ejpam-6538	182	4	1	CARDINAL
ejpam-6538	183	1	1 ≤	QUANTITY
ejpam-6538	183	2	1	CARDINAL
ejpam-6538	183	3	1	CARDINAL
ejpam-6538	183	4	f(i	PERSON
ejpam-6538	183	5	1	CARDINAL
ejpam-6538	183	6	f(i	PERSON
ejpam-6538	183	7	f(i	PERSON
ejpam-6538	183	8	m−	NORP
ejpam-6538	183	9	2	CARDINAL
ejpam-6538	183	10	3	CARDINAL
ejpam-6538	183	11	f(i	GPE
ejpam-6538	184	1	1 ≤	QUANTITY
ejpam-6538	185	1	1	CARDINAL
ejpam-6538	185	2	a. charoenpol	PERSON
ejpam-6538	185	3	u. chotwattakawanit	ORG
ejpam-6538	186	1	j. pure	PERSON
ejpam-6538	186	2	18	CARDINAL
ejpam-6538	186	3	3	CARDINAL
ejpam-6538	186	4	2025	CARDINAL
ejpam-6538	186	5	6538 9	DATE
ejpam-6538	186	6	2	CARDINAL
ejpam-6538	188	1	m−	NORP
ejpam-6538	188	2	2	CARDINAL
ejpam-6538	188	3	5	CARDINAL
ejpam-6538	189	1	1	CARDINAL
ejpam-6538	190	1	m−1	PERSON
ejpam-6538	191	1	3	CARDINAL
ejpam-6538	191	2	cm × cm−1	ORG
ejpam-6538	192	1	1	CARDINAL
ejpam-6538	192	2	2	CARDINAL
ejpam-6538	193	1	lemma 1	ORG
ejpam-6538	193	2	1	CARDINAL
ejpam-6538	193	3	3	CARDINAL
ejpam-6538	193	4	2	CARDINAL
ejpam-6538	193	5	f2(m−3)+1(m	GPE
ejpam-6538	193	6	1	CARDINAL
ejpam-6538	193	7	3	CARDINAL
ejpam-6538	193	8	1	CARDINAL
ejpam-6538	194	1	1	CARDINAL
ejpam-6538	194	2	1	CARDINAL
ejpam-6538	195	1	2	CARDINAL
ejpam-6538	195	2	1	CARDINAL
ejpam-6538	195	3	f2(m−3)+1(m	GPE
ejpam-6538	195	4	1	CARDINAL
ejpam-6538	195	5	1	CARDINAL
ejpam-6538	195	6	1	CARDINAL
ejpam-6538	196	1	3	CARDINAL
ejpam-6538	196	2	f(3	ORG
ejpam-6538	196	3	2	CARDINAL
ejpam-6538	196	4	f(3	ORG
ejpam-6538	196	5	1	CARDINAL
ejpam-6538	196	6	∨ f(2	PERSON
ejpam-6538	196	7	2	CARDINAL
ejpam-6538	196	8	2	CARDINAL
ejpam-6538	196	9	1	CARDINAL
ejpam-6538	196	10	∨ f(2	PERSON
ejpam-6538	196	11	2	CARDINAL
ejpam-6538	196	12	f(2	PERSON
ejpam-6538	196	13	2	CARDINAL
ejpam-6538	196	14	3	CARDINAL
ejpam-6538	196	15	1	CARDINAL
ejpam-6538	197	1	1	CARDINAL
ejpam-6538	197	2	1	CARDINAL
ejpam-6538	197	3	1	CARDINAL
ejpam-6538	197	4	f(3	ORG
ejpam-6538	197	5	1	CARDINAL
ejpam-6538	197	6	2	CARDINAL
ejpam-6538	197	7	2	CARDINAL
ejpam-6538	197	8	1	CARDINAL
ejpam-6538	197	9	3	CARDINAL
ejpam-6538	197	10	2	CARDINAL
ejpam-6538	197	11	1	CARDINAL
ejpam-6538	197	12	2	CARDINAL
ejpam-6538	197	13	1	CARDINAL
ejpam-6538	198	1	1	CARDINAL
ejpam-6538	198	2	1	CARDINAL
ejpam-6538	199	1	m−	NORP
ejpam-6538	200	1	lemma 1	ORG
ejpam-6538	200	2	f2k(m	GPE
ejpam-6538	200	3	1	CARDINAL
ejpam-6538	201	1	m− k	PERSON
ejpam-6538	201	2	1− k	PERSON
ejpam-6538	201	3	1	CARDINAL
ejpam-6538	201	4	m−	PERSON
ejpam-6538	201	5	1− k	PRODUCT
ejpam-6538	201	6	0 ≤ k ≤ m−2	QUANTITY
ejpam-6538	203	1	cm×cm−1	ORG
ejpam-6538	204	1	1	CARDINAL
ejpam-6538	205	1	mpp endomorphisms	ORG
ejpam-6538	205	2	c3×c3	ORG
ejpam-6538	205	3	c4 ×c3	PERSON
ejpam-6538	205	4	4	CARDINAL
ejpam-6538	205	5	5	DATE
ejpam-6538	205	6	6	DATE
ejpam-6538	205	7	7	DATE
ejpam-6538	206	1	4	CARDINAL
ejpam-6538	209	1	5	CARDINAL
ejpam-6538	209	2	c3	ORG
ejpam-6538	210	1	2	CARDINAL
ejpam-6538	211	1	2	CARDINAL
ejpam-6538	213	1	φm×2	ORG
ejpam-6538	213	2	ζ(m	ORG
ejpam-6538	214	1	m×2	PERSON
ejpam-6538	215	1	3	CARDINAL
ejpam-6538	215	2	φm×2	ORG
ejpam-6538	215	3	m×2	PERSON
ejpam-6538	216	1	3	CARDINAL
ejpam-6538	216	2	m−1	PERSON
ejpam-6538	217	1	a. charoenpol	PERSON
ejpam-6538	217	2	u. chotwattakawanit	ORG
ejpam-6538	218	1	j. pure	PERSON
ejpam-6538	218	2	18	CARDINAL
ejpam-6538	218	3	3	CARDINAL
ejpam-6538	218	4	2025	CARDINAL
ejpam-6538	218	5	6538 10	DATE
ejpam-6538	218	6	13	CARDINAL
ejpam-6538	221	1	6	CARDINAL
ejpam-6538	221	2	c3 ×c3	ORG
ejpam-6538	225	1	7	CARDINAL
ejpam-6538	225	2	c4 ×c3	PERSON
ejpam-6538	226	1	3	CARDINAL
ejpam-6538	227	1	cm×cm−1	ORG
ejpam-6538	228	1	cm×cm−1	ORG
ejpam-6538	229	1	n ∈ n	ORG
ejpam-6538	229	2	gn	ORG
ejpam-6538	229	3	ac	ORG
ejpam-6538	230	1	2c−	CARDINAL
ejpam-6538	230	2	bc	ORG
ejpam-6538	231	1	1	CARDINAL
ejpam-6538	231	2	2	CARDINAL
ejpam-6538	231	3	1	CARDINAL
ejpam-6538	232	1	ac	ORG
ejpam-6538	232	2	h−1	PRODUCT
ejpam-6538	232	3	2c−	CARDINAL
ejpam-6538	232	4	2c− 2	DATE
ejpam-6538	232	5	a1,0	ORG
ejpam-6538	232	6	1	CARDINAL
ejpam-6538	232	7	0	CARDINAL
ejpam-6538	232	8	gn(bc	GPE
ejpam-6538	233	1	bc	ORG
ejpam-6538	233	2	h−1	ORG
ejpam-6538	233	3	1	CARDINAL
ejpam-6538	233	4	bc−1,h−1	ORG
ejpam-6538	233	5	2	CARDINAL
ejpam-6538	233	6	1	CARDINAL
ejpam-6538	233	7	a. charoenpol	PERSON
ejpam-6538	233	8	u. chotwattakawanit	ORG
ejpam-6538	234	1	j. pure	PERSON
ejpam-6538	234	2	18	CARDINAL
ejpam-6538	234	3	3	CARDINAL
ejpam-6538	234	4	2025	CARDINAL
ejpam-6538	234	5	6538 11	DATE
ejpam-6538	234	6	13	CARDINAL
ejpam-6538	234	7	ac	ORG
ejpam-6538	235	1		CARDINAL
ejpam-6538	235	2	ac	ORG
ejpam-6538	235	3	2c− 1	DATE
ejpam-6538	235	4	ac	ORG
ejpam-6538	235	5	2c− 1	DATE
ejpam-6538	235	6	a1,0	ORG
ejpam-6538	235	7	0	CARDINAL
ejpam-6538	235	8	ac	ORG
ejpam-6538	235	9	bc	ORG
ejpam-6538	236	1	2	CARDINAL
ejpam-6538	236	2	b1,1	ORG
ejpam-6538	236	3	2	CARDINAL
ejpam-6538	236	4	1	CARDINAL
ejpam-6538	236	5	bc	ORG
ejpam-6538	236	6	1	CARDINAL
ejpam-6538	236	7	bc	ORG
ejpam-6538	237	1	n ∈ n	ORG
ejpam-6538	237	2	2	CARDINAL
ejpam-6538	238	1	2m− 1	DATE
ejpam-6538	238	2	6	CARDINAL
ejpam-6538	239	1	two	CARDINAL
ejpam-6538	239	2	gn	ORG
ejpam-6538	240	1	4	CARDINAL
ejpam-6538	240	2	5	DATE
ejpam-6538	240	3	1	CARDINAL
ejpam-6538	240	4	2	CARDINAL
ejpam-6538	240	5	2	CARDINAL
ejpam-6538	240	6	gn	ORG
ejpam-6538	240	7	firstly	ORDINAL
ejpam-6538	240	8	2	CARDINAL
ejpam-6538	240	9	2	CARDINAL
ejpam-6538	241	1	+ 2−	CARDINAL
ejpam-6538	241	2	+ 1	DATE
ejpam-6538	241	3	2	CARDINAL
ejpam-6538	241	4	2	CARDINAL
ejpam-6538	241	5	∈	ORG
ejpam-6538	242	1	ac	ORG
ejpam-6538	243	1	1	CARDINAL
ejpam-6538	245	1	ac	ORG
ejpam-6538	246	1	1	CARDINAL
ejpam-6538	246	2	1	CARDINAL
ejpam-6538	247	1	2c−	CARDINAL
ejpam-6538	247	2	2 + 2−	QUANTITY
ejpam-6538	247	3	1	CARDINAL
ejpam-6538	248	1	h−1	WORK_OF_ART
ejpam-6538	248	2	2 2	DATE
ejpam-6538	248	3	2 2	CARDINAL
ejpam-6538	249	1	2 + 2−	QUANTITY
ejpam-6538	249	2	2 + 1	CARDINAL
ejpam-6538	250	1	2c−	CARDINAL
ejpam-6538	250	2	2	CARDINAL
ejpam-6538	251	1	2 2	DATE
ejpam-6538	251	2	2 2	CARDINAL
ejpam-6538	251	3	1	CARDINAL
ejpam-6538	251	4	1	CARDINAL
ejpam-6538	252	1	2 + 2−	QUANTITY
ejpam-6538	252	2	2 + 1	CARDINAL
ejpam-6538	253	1	a. charoenpol	PERSON
ejpam-6538	253	2	u. chotwattakawanit	ORG
ejpam-6538	254	1	j. pure	PERSON
ejpam-6538	254	2	18	CARDINAL
ejpam-6538	254	3	3	CARDINAL
ejpam-6538	254	4	2025	CARDINAL
ejpam-6538	254	5	6538 12	DATE
ejpam-6538	254	6	13	CARDINAL
ejpam-6538	254	7	2	CARDINAL
ejpam-6538	255	1	2c−	CARDINAL
ejpam-6538	256	1	2	CARDINAL
ejpam-6538	256	2	1 2	CARDINAL
ejpam-6538	256	3	1	CARDINAL
ejpam-6538	257	1	h−1	WORK_OF_ART
ejpam-6538	257	2	3 2	CARDINAL
ejpam-6538	257	3	3 2	CARDINAL
ejpam-6538	258	1	2	CARDINAL
ejpam-6538	258	2	1	CARDINAL
ejpam-6538	258	3	1	CARDINAL
ejpam-6538	258	4	2	CARDINAL
ejpam-6538	259	1	bc	ORG
ejpam-6538	260	1	1	CARDINAL
ejpam-6538	260	2	1	CARDINAL
ejpam-6538	260	3	1	CARDINAL
ejpam-6538	260	4	2	CARDINAL
ejpam-6538	261	1	1	CARDINAL
ejpam-6538	261	2	1	CARDINAL
ejpam-6538	261	3	2	CARDINAL
ejpam-6538	262	1	ψn(b1,h−1	ORG
ejpam-6538	263	1	1	CARDINAL
ejpam-6538	263	2	2	CARDINAL
ejpam-6538	263	3	2	CARDINAL
ejpam-6538	264	1	ψn(b1,h−1	ORG
ejpam-6538	265	1	1	CARDINAL
ejpam-6538	265	2	2	CARDINAL
ejpam-6538	265	3	1	CARDINAL
ejpam-6538	266	1	kaen university	ORG
ejpam-6538	266	2	fiscal year	DATE
ejpam-6538	266	3	2023(raapf	CARDINAL
ejpam-6538	268	1	1	CARDINAL
ejpam-6538	268	2	miroslav ciric	PERSON
ejpam-6538	270	1	6	CARDINAL
ejpam-6538	270	2	1999	DATE
ejpam-6538	271	1	2	CARDINAL
ejpam-6538	271	2	shelly	PERSON
ejpam-6538	273	1	hall/crc,	ORG
ejpam-6538	273	2	2018	DATE
ejpam-6538	274	1	3	CARDINAL
ejpam-6538	274	2	250	CARDINAL
ejpam-6538	274	3	2006	DATE
ejpam-6538	275	1	4	CARDINAL
ejpam-6538	275	2	david zupnik	PERSON
ejpam-6538	276	1	3	CARDINAL
ejpam-6538	276	2	349–358	CARDINAL
ejpam-6538	276	3	1971	DATE
ejpam-6538	277	1	5	CARDINAL
ejpam-6538	277	2	zhong-ju sun	PERSON
ejpam-6538	278	1	70(4):393–401	ORG
ejpam-6538	278	2	2013	DATE
ejpam-6538	279	1	6	CARDINAL
ejpam-6538	279	2	miroslav ploščica	ORG
ejpam-6538	281	1	255	CARDINAL
ejpam-6538	281	2	2016	DATE
ejpam-6538	282	1	7	CARDINAL
ejpam-6538	283	1	mathematica bohemica	PERSON
ejpam-6538	283	2	2020	DATE
ejpam-6538	284	1	a. charoenpol	PERSON
ejpam-6538	284	2	u. chotwattakawanit	ORG
ejpam-6538	285	1	j. pure	PERSON
ejpam-6538	285	2	18	CARDINAL
ejpam-6538	285	3	3	CARDINAL
ejpam-6538	285	4	2025	CARDINAL
ejpam-6538	285	5	6538 13	DATE
ejpam-6538	285	6	13	CARDINAL
ejpam-6538	286	1	8	CARDINAL
ejpam-6538	286	2	ov kovaleva	ORG
ejpam-6538	288	1	73	CARDINAL
ejpam-6538	288	2	444–456	CARDINAL
ejpam-6538	288	3	2006	DATE
ejpam-6538	289	1	9	CARDINAL
ejpam-6538	289	2	joerg koppitz	PERSON
ejpam-6538	291	1	asianeuropean journal of mathematics	ORG
ejpam-6538	291	2	10(03):1750058	DATE
ejpam-6538	291	3	2017	DATE
ejpam-6538	292	1	10	CARDINAL
ejpam-6538	292	2	aveya charoenpol	PERSON
ejpam-6538	292	3	udom chotwattakawanit	PERSON
ejpam-6538	294	1	asian-european journal of mathematics	ORG
ejpam-6538	294	2	16(09):2350155	DATE
ejpam-6538	294	3	2023	CARDINAL
ejpam-6538	295	1	11	CARDINAL
ejpam-6538	295	2	aveya charoenpol	PERSON
ejpam-6538	295	3	udom chotwattakawanit	PERSON
ejpam-6538	297	1	algebra & applications	ORG
ejpam-6538	297	2	43(2):223–231	DATE
ejpam-6538	297	3	2023	CARDINAL
