id	sid	eid	entity	type
ejpam-5742	1	1	european journal	ORG
ejpam-5742	1	2	2025	DATE
ejpam-5742	1	3	18	CARDINAL
ejpam-5742	1	4	2	CARDINAL
ejpam-5742	1	5	5742	CARDINAL
ejpam-5742	1	6	1307-5543	DATE
ejpam-5742	1	7	new york	GPE
ejpam-5742	1	8	gaketem2,∗	GPE
ejpam-5742	1	9	kumar bandaru3	PERSON
ejpam-5742	1	10	1	CARDINAL
ejpam-5742	1	11	andhra pradesh	ORG
ejpam-5742	1	12	india 2 department	ORG
ejpam-5742	1	13	university of phayao	ORG
ejpam-5742	1	14	56000	CARDINAL
ejpam-5742	1	15	thailand 3	ORG
ejpam-5742	1	16	vit-ap university	ORG
ejpam-5742	1	17	andhra pradesh	ORG
ejpam-5742	1	18	india	GPE
ejpam-5742	5	1	two	CARDINAL
ejpam-5742	6	1	2020	DATE
ejpam-5742	6	2	06d15	CARDINAL
ejpam-5742	6	3	adl	PERSON
ejpam-5742	7	1	rao	ORG
ejpam-5742	8	1	1	CARDINAL
ejpam-5742	11	1	adls	LANGUAGE
ejpam-5742	12	1	2	CARDINAL
ejpam-5742	12	2	rao	PERSON
ejpam-5742	12	3	g.c. rao	PERSON
ejpam-5742	12	4	3	CARDINAL
ejpam-5742	13	1	4	CARDINAL
ejpam-5742	14	1	5	CARDINAL
ejpam-5742	16	1	n. rafi	PERSON
ejpam-5742	16	2	thiti.ga@up.ac.th	DATE
ejpam-5742	16	3	t. gaketem	PERSON
ejpam-5742	16	4	r. bandaru	PERSON
ejpam-5742	17	1	1	CARDINAL
ejpam-5742	17	2	2025	CARDINAL
ejpam-5742	18	1	n. rafi	PERSON
ejpam-5742	18	2	t. gaketem	PERSON
ejpam-5742	18	3	r. k. bandaru	PERSON
ejpam-5742	19	1	j. pure	PERSON
ejpam-5742	19	2	18	CARDINAL
ejpam-5742	19	3	2	CARDINAL
ejpam-5742	19	4	2025	CARDINAL
ejpam-5742	19	5	5742 2	CARDINAL
ejpam-5742	19	6	14	DATE
ejpam-5742	21	1	adl	PERSON
ejpam-5742	26	1	adl	PERSON
ejpam-5742	27	1	adl	PERSON
ejpam-5742	28	1	two	CARDINAL
ejpam-5742	29	1	2	CARDINAL
ejpam-5742	29	2	1	CARDINAL
ejpam-5742	29	3	6	CARDINAL
ejpam-5742	30	1	1	CARDINAL
ejpam-5742	31	1	1	CARDINAL
ejpam-5742	31	2	0	DATE
ejpam-5742	31	3	zero	CARDINAL
ejpam-5742	31	4	1	CARDINAL
ejpam-5742	31	5	θ ∧ σ	ORG
ejpam-5742	31	6	2	CARDINAL
ejpam-5742	31	7	θ ∧	ORG
ejpam-5742	31	8	θ ∧	ORG
ejpam-5742	31	9	θ ∧ σ	ORG
ejpam-5742	31	10	3	CARDINAL
ejpam-5742	31	11	4	CARDINAL
ejpam-5742	31	12	5	CARDINAL
ejpam-5742	31	13	θ ∨	ORG
ejpam-5742	31	14	θ ∧	ORG
ejpam-5742	31	15	6	CARDINAL
ejpam-5742	31	16	0	CARDINAL
ejpam-5742	32	1	0	CARDINAL
ejpam-5742	32	2	σ ∈ r.	PERSON
ejpam-5742	32	3	θ = θ∧ϑ	ORG
ejpam-5742	32	4	∈	ORG
ejpam-5742	32	5	0	DATE
ejpam-5742	33	1	∈	ORG
ejpam-5742	33	2	r.	NORP
ejpam-5742	33	3	8	CARDINAL
ejpam-5742	33	4	∨	ORG
ejpam-5742	34	1	∈	ORG
ejpam-5742	34	2	θ ∧ µ ∈	ORG
ejpam-5742	34	3	θ ∧	ORG
ejpam-5742	34	4	∈	ORG
ejpam-5742	34	5	r.	NORP
ejpam-5742	34	6	i=1 θi)∧	GPE
ejpam-5742	34	7	∈	ORG
ejpam-5742	34	8	∈	ORG
ejpam-5742	34	9	n ∈ n	PRODUCT
ejpam-5742	35	1	n. rafi	PERSON
ejpam-5742	35	2	t. gaketem	PERSON
ejpam-5742	35	3	r. k. bandaru	PERSON
ejpam-5742	36	1	j. pure	PERSON
ejpam-5742	36	2	18	CARDINAL
ejpam-5742	36	3	2	CARDINAL
ejpam-5742	36	4	2025	CARDINAL
ejpam-5742	36	5	5742 3	DATE
ejpam-5742	36	6	14	CARDINAL
ejpam-5742	36	7	⊆	CARDINAL
ejpam-5742	36	8	µ ∨	ORG
ejpam-5742	37	1	∈	ORG
ejpam-5742	37	2	∈	ORG
ejpam-5742	37	3	n ∈ n	PRODUCT
ejpam-5742	38	1	r.	NORP
ejpam-5742	38	2	θ ∨	ORG
ejpam-5742	38	3	θ ∧	ORG
ejpam-5742	38	4	∈	ORG
ejpam-5742	38	5	r.	NORP
ejpam-5742	38	6	r.	NORP
ejpam-5742	38	7	∈	ORG
ejpam-5742	39	1	r.	NORP
ejpam-5742	39	2	∈	ORG
ejpam-5742	42	1	two	CARDINAL
ejpam-5742	42	2	zero	CARDINAL
ejpam-5742	42	3	0	CARDINAL
ejpam-5742	42	4	0′	CARDINAL
ejpam-5742	43	1	3	CARDINAL
ejpam-5742	44	1	adls	ORG
ejpam-5742	46	1	2	CARDINAL
ejpam-5742	48	1	∈	ORG
ejpam-5742	48	2	∨ ξ(ϑ	PERSON
ejpam-5742	49	1	0′	CARDINAL
ejpam-5742	50	1	− ker	PERSON
ejpam-5742	51	1	∈	ORG
ejpam-5742	51	2	ξ(θ	ORG
ejpam-5742	52	1	r.	NORP
ejpam-5742	53	1	1	CARDINAL
ejpam-5742	54	1	∈	PRODUCT
ejpam-5742	55	1	r. (ii	EVENT
ejpam-5742	56	1	r′. n. rafi	PERSON
ejpam-5742	56	2	t. gaketem	PERSON
ejpam-5742	56	3	r. k. bandaru	PERSON
ejpam-5742	57	1	j. pure	PERSON
ejpam-5742	57	2	18	CARDINAL
ejpam-5742	57	3	2	CARDINAL
ejpam-5742	57	4	2025	CARDINAL
ejpam-5742	57	5	5742 4	DATE
ejpam-5742	61	1	ξ(ρ	ORG
ejpam-5742	61	2	ξ(σ	PERSON
ejpam-5742	62	1	∈	ORG
ejpam-5742	64	1	ρ ∨	ORG
ejpam-5742	65	1	ω ∈ r.	ORG
ejpam-5742	65	2	ξ(ρ	ORG
ejpam-5742	66	1	ξ(ρ ∧ ω	ORG
ejpam-5742	66	2	ξ(ρ	ORG
ejpam-5742	66	3	∈	ORG
ejpam-5742	67	1	∈	ORG
ejpam-5742	67	2	ρ ∧ ω ∈	ORG
ejpam-5742	69	1	r.	NORP
ejpam-5742	69	2	ξ(g	GPE
ejpam-5742	70	1	τ ∈ ξ(g	PERSON
ejpam-5742	71	1	ξ(σ	PERSON
ejpam-5742	71	2	σ ∈	PERSON
ejpam-5742	71	3	ξ(σ	PERSON
ejpam-5742	71	4	ρ ∨	ORG
ejpam-5742	71	5	∈	PRODUCT
ejpam-5742	72	1	∈	ORG
ejpam-5742	72	2	η ∈	ORG
ejpam-5742	72	3	ξ(η	GPE
ejpam-5742	73	1	δ ∧	ORG
ejpam-5742	73	2	ρ ∧ η ∈	ORG
ejpam-5742	73	3	δ ∧	ORG
ejpam-5742	74	1	ξ(g	PERSON
ejpam-5742	74	2	3	CARDINAL
ejpam-5742	74	3	9	CARDINAL
ejpam-5742	74	4	10	CARDINAL
ejpam-5742	75	1	m(f	PERSON
ejpam-5742	76	1	∈	ORG
ejpam-5742	78	1	2	CARDINAL
ejpam-5742	79	1	∈	PRODUCT
ejpam-5742	80	1	⊆	CARDINAL
ejpam-5742	82	1	∈	PRODUCT
ejpam-5742	82	2	r.	NORP
ejpam-5742	82	3	∈	ORG
ejpam-5742	83	1	m(f	GPE
ejpam-5742	83	2	ξ(ρ	ORG
ejpam-5742	84	1	m(f	GPE
ejpam-5742	84	2	ρ ∨	ORG
ejpam-5742	85	1	ξ(ρ	ORG
ejpam-5742	86	1	η ∈	PERSON
ejpam-5742	88	1	ξ(ρ	ORG
ejpam-5742	88	2	∨ ξ(σ	PERSON
ejpam-5742	89	1	η = η	PERSON
ejpam-5742	89	2	∈	ORG
ejpam-5742	90	1	⊆	CARDINAL
ejpam-5742	91	1	r.	NORP
ejpam-5742	93	1	1	CARDINAL
ejpam-5742	93	2	0	CARDINAL
ejpam-5742	94	1	two	CARDINAL
ejpam-5742	94	2	σ	ORG
ejpam-5742	94	3	0	DATE
ejpam-5742	94	4	0	CARDINAL
ejpam-5742	98	1	0	CARDINAL
ejpam-5742	100	1	0	CARDINAL
ejpam-5742	100	2	adl r.	PERSON
ejpam-5742	100	3	m(f	GPE
ejpam-5742	103	1	ξ(f	ORG
ejpam-5742	104	1	0	CARDINAL
ejpam-5742	111	1	n. rafi	PERSON
ejpam-5742	111	2	t. gaketem	PERSON
ejpam-5742	111	3	r. k. bandaru	PERSON
ejpam-5742	112	1	j. pure	PERSON
ejpam-5742	112	2	18	CARDINAL
ejpam-5742	112	3	2	CARDINAL
ejpam-5742	112	4	2025	CARDINAL
ejpam-5742	112	5	5742 5	DATE
ejpam-5742	112	6	14	DATE
ejpam-5742	112	7	4	CARDINAL
ejpam-5742	113	1	homr(r′	ORG
ejpam-5742	115	1	2	CARDINAL
ejpam-5742	116	1	0	CARDINAL
ejpam-5742	117	1	two	CARDINAL
ejpam-5742	117	2	σ	ORG
ejpam-5742	117	3	0	CARDINAL
ejpam-5742	119	1	0	DATE
ejpam-5742	119	2	0	CARDINAL
ejpam-5742	120	1	r.	NORP
ejpam-5742	120	2	r.	NORP
ejpam-5742	120	3	0	CARDINAL
ejpam-5742	120	4	r.	NORP
ejpam-5742	120	5	m(f	PERSON
ejpam-5742	121	1	⋃	PERSON
ejpam-5742	121	2	µ)+	CARDINAL
ejpam-5742	124	1	ξ(f	ORG
ejpam-5742	125	1	0	CARDINAL
ejpam-5742	130	1	1	CARDINAL
ejpam-5742	131	1	∈	PRODUCT
ejpam-5742	131	2	− ker	PERSON
ejpam-5742	135	1	⊆	CARDINAL
ejpam-5742	136	1	∈	ORG
ejpam-5742	137	1	∨ ρ ∈ mmax.elt(r′	ORG
ejpam-5742	138	1	ξ(σ	PERSON
ejpam-5742	140	1	∈	ORG
ejpam-5742	140	2	η ∈	PERSON
ejpam-5742	140	3	ξ(η	GPE
ejpam-5742	141	1	∨ ρ ∈ mmax.elt(r′	ORG
ejpam-5742	141	2	ξ(η	GPE
ejpam-5742	142	1	ξ(η∨σ	DATE
ejpam-5742	142	2	η∨σ ∈ mmax.elt(r	PERSON
ejpam-5742	143	1	η ∈ m(f	PERSON
ejpam-5742	145	1	⊆	CARDINAL
ejpam-5742	148	1	2	CARDINAL
ejpam-5742	149	1	∈	PRODUCT
ejpam-5742	149	2	− ker	PERSON
ejpam-5742	151	1	m(f	GPE
ejpam-5742	151	2	= m(g	PERSON
ejpam-5742	152	1	two	CARDINAL
ejpam-5742	152	2	g of r. proof	PERSON
ejpam-5742	153	1	1	CARDINAL
ejpam-5742	154	1	m(f	PERSON
ejpam-5742	163	1	m(f	GPE
ejpam-5742	167	1	η ∈	PERSON
ejpam-5742	169	1	m(f	PERSON
ejpam-5742	169	2	⊆	CARDINAL
ejpam-5742	170	1	m(g	PERSON
ejpam-5742	170	2	⊆	CARDINAL
ejpam-5742	170	3	m(f	PERSON
ejpam-5742	171	1	m(f	PERSON
ejpam-5742	171	2	= m(g	PERSON
ejpam-5742	172	1	5	CARDINAL
ejpam-5742	173	1	9	CARDINAL
ejpam-5742	173	2	m(f	PERSON
ejpam-5742	174	1	∈	ORG
ejpam-5742	174	2	r.	NORP
ejpam-5742	174	3	3	CARDINAL
ejpam-5742	174	4	∈	PRODUCT
ejpam-5742	174	5	r′. n. rafi	PERSON
ejpam-5742	174	6	t. gaketem	PERSON
ejpam-5742	174	7	r. k. bandaru	PERSON
ejpam-5742	175	1	j. pure	PERSON
ejpam-5742	175	2	18	CARDINAL
ejpam-5742	175	3	2	CARDINAL
ejpam-5742	175	4	2025	CARDINAL
ejpam-5742	175	5	5742 6	CARDINAL
ejpam-5742	175	6	14	CARDINAL
ejpam-5742	176	1	r.	NORP
ejpam-5742	176	2	m(f	PERSON
ejpam-5742	177	1	1	CARDINAL
ejpam-5742	177	2	ξ(f	ORG
ejpam-5742	179	1	6	DATE
ejpam-5742	180	1	∈	PRODUCT
ejpam-5742	181	1	3	CARDINAL
ejpam-5742	182	1	0	CARDINAL
ejpam-5742	182	2	1	DATE
ejpam-5742	182	3	2	DATE
ejpam-5742	182	4	3	CARDINAL
ejpam-5742	182	5	0 1 2 3	QUANTITY
ejpam-5742	182	6	0	DATE
ejpam-5742	183	1	0̆	CARDINAL
ejpam-5742	183	2	2̄	CARDINAL
ejpam-5742	183	3	two	CARDINAL
ejpam-5742	184	1	r′,∨,∧	ORG
ejpam-5742	184	2	0̃	DATE
ejpam-5742	184	3	0̃	CARDINAL
ejpam-5742	184	4	0̆	CARDINAL
ejpam-5742	185	1	f(0	PERSON
ejpam-5742	185	2	0̃	CARDINAL
ejpam-5742	185	3	1̆	CARDINAL
ejpam-5742	186	1	1̆,	DATE
ejpam-5742	186	2	2̄	CARDINAL
ejpam-5742	186	3	f(3	ORG
ejpam-5742	187	1	1̆	CARDINAL
ejpam-5742	187	2	1̆	CARDINAL
ejpam-5742	187	3	2̄	CARDINAL
ejpam-5742	187	4	0̆	CARDINAL
ejpam-5742	187	5	0̆	CARDINAL
ejpam-5742	187	6	0̆,	DATE
ejpam-5742	187	7	2̄	CARDINAL
ejpam-5742	187	8	m(t	PERSON
ejpam-5742	188	1	= s. hence s	PERSON
ejpam-5742	188	2	1	CARDINAL
ejpam-5742	188	3	2	DATE
ejpam-5742	188	4	3	CARDINAL
ejpam-5742	188	5	3	CARDINAL
ejpam-5742	188	6	3)+	CARDINAL
ejpam-5742	188	7	1	CARDINAL
ejpam-5742	188	8	2	CARDINAL
ejpam-5742	190	1	4	CARDINAL
ejpam-5742	191	1	∈	PRODUCT
ejpam-5742	192	1	r.	NORP
ejpam-5742	193	1	m(f	PERSON
ejpam-5742	193	2	r.	NORP
ejpam-5742	193	3	ξ−1[m(f	PERSON
ejpam-5742	198	1	m(f	PERSON
ejpam-5742	199	1	ξ(τ	PERSON
ejpam-5742	202	1	⊆	CARDINAL
ejpam-5742	204	1	m(f	PERSON
ejpam-5742	205	1	∨ ω ∈ mmax.elt(r′	ORG
ejpam-5742	206	1	ω	ORG
ejpam-5742	206	2	∈	ORG
ejpam-5742	206	3	ξ(ν	ORG
ejpam-5742	208	1	ξ(κ ∨ ν	NORP
ejpam-5742	209	1	− ker	PERSON
ejpam-5742	211	1	∈	ORG
ejpam-5742	212	1	ξ−1[m(f	PERSON
ejpam-5742	213	1	⊆	CARDINAL
ejpam-5742	214	1	ξ−1[m(f	PERSON
ejpam-5742	216	1	5	CARDINAL
ejpam-5742	217	1	∈	PRODUCT
ejpam-5742	217	2	r.	NORP
ejpam-5742	217	3	r. n. rafi	PERSON
ejpam-5742	217	4	t. gaketem	PERSON
ejpam-5742	217	5	r. k. bandaru	PERSON
ejpam-5742	218	1	j. pure	PERSON
ejpam-5742	218	2	18	CARDINAL
ejpam-5742	218	3	2	CARDINAL
ejpam-5742	218	4	2025	CARDINAL
ejpam-5742	218	5	5742 7	DATE
ejpam-5742	219	1	e′	DATE
ejpam-5742	221	1	co− ker	PERSON
ejpam-5742	221	2	r.	NORP
ejpam-5742	221	3	7	DATE
ejpam-5742	222	1	h(s	PERSON
ejpam-5742	223	1	∈	ORG
ejpam-5742	224	1	3	CARDINAL
ejpam-5742	225	1	h(s	PERSON
ejpam-5742	225	2	s. lemma 4	PERSON
ejpam-5742	230	1	∈	ORG
ejpam-5742	230	2	⊆	CARDINAL
ejpam-5742	231	1	⊆	CARDINAL
ejpam-5742	234	1	6	CARDINAL
ejpam-5742	235	1	r.	NORP
ejpam-5742	236	1	r.	NORP
ejpam-5742	236	2	r.	NORP
ejpam-5742	236	3	∈	ORG
ejpam-5742	237	1	r.	NORP
ejpam-5742	239	1	r. theorem 7	ORG
ejpam-5742	240	1	two	CARDINAL
ejpam-5742	240	2	adl r.	PERSON
ejpam-5742	240	3	m(f∨g	DATE
ejpam-5742	240	4	m(f	PERSON
ejpam-5742	240	5	m(g	PERSON
ejpam-5742	242	1	m(f	PERSON
ejpam-5742	243	1	⊆	CARDINAL
ejpam-5742	243	2	m(f	PERSON
ejpam-5742	243	3	m(g	PERSON
ejpam-5742	243	4	m(f	PERSON
ejpam-5742	243	5	m(f	PERSON
ejpam-5742	243	6	⊆	CARDINAL
ejpam-5742	243	7	m(g	PERSON
ejpam-5742	243	8	r.	NORP
ejpam-5742	244	1	∈	ORG
ejpam-5742	244	2	θ ∨	ORG
ejpam-5742	245	1	θ ∨	ORG
ejpam-5742	245	2	⊆	CARDINAL
ejpam-5742	246	1	θ ∨	ORG
ejpam-5742	247	1	µ∨ π ∈	ORG
ejpam-5742	248	1	m(f ∨	PERSON
ejpam-5742	248	2	m(f	GPE
ejpam-5742	248	3	m(g	PERSON
ejpam-5742	249	1	1	CARDINAL
ejpam-5742	251	1	α∈△ m(fα	WORK_OF_ART
ejpam-5742	252	1	fm(r	CARDINAL
ejpam-5742	252	2	8	CARDINAL
ejpam-5742	253	1	fm(r	CARDINAL
ejpam-5742	254	1	r. n. rafi	PERSON
ejpam-5742	254	2	t. gaketem	PERSON
ejpam-5742	254	3	r. k. bandaru	PERSON
ejpam-5742	255	1	j. pure	PERSON
ejpam-5742	255	2	18	CARDINAL
ejpam-5742	255	3	2	CARDINAL
ejpam-5742	255	4	2025	CARDINAL
ejpam-5742	255	5	5742 8	DATE
ejpam-5742	256	1	r.	NORP
ejpam-5742	256	2	r.	NORP
ejpam-5742	256	3	⊆	CARDINAL
ejpam-5742	256	4	⊆	CARDINAL
ejpam-5742	257	1	∈	ORG
ejpam-5742	259	1	∈	ORG
ejpam-5742	260	1	∨	PERSON
ejpam-5742	260	2	∨	PERSON
ejpam-5742	261	1	r.	NORP
ejpam-5742	261	2	θ ∈	ORG
ejpam-5742	263	1	∈	ORG
ejpam-5742	263	2	1	CARDINAL
ejpam-5742	263	3	2	DATE
ejpam-5742	265	1	θ∨(υ1∧υ2∧	NORP
ejpam-5742	265	2	t1 ∨ t2 ∨	ORG
ejpam-5742	266	1	∨ tn ⊆	ORG
ejpam-5742	267	1	⊆	CARDINAL
ejpam-5742	268	1	r.	NORP
ejpam-5742	268	2	9	CARDINAL
ejpam-5742	269	1	fm(r	CARDINAL
ejpam-5742	272	1	r.	NORP
ejpam-5742	273	1	⊆	CARDINAL
ejpam-5742	274	1	since mmax.elt(r	TIME
ejpam-5742	274	2	⊆	CARDINAL
ejpam-5742	274	3	zorn	ORG
ejpam-5742	277	1	⊆	CARDINAL
ejpam-5742	278	1	∈ m. therefore n = n	PERSON
ejpam-5742	279	1	8	DATE
ejpam-5742	282	1	4	CARDINAL
ejpam-5742	283	1	0	CARDINAL
ejpam-5742	283	2	1	DATE
ejpam-5742	283	3	2	DATE
ejpam-5742	283	4	3	DATE
ejpam-5742	283	5	4	DATE
ejpam-5742	283	6	5	DATE
ejpam-5742	283	7	6	DATE
ejpam-5742	283	8	7	CARDINAL
ejpam-5742	283	9	0 1 2 3 4 5 6 7	QUANTITY
ejpam-5742	283	10	0	CARDINAL
ejpam-5742	283	11	2	CARDINAL
ejpam-5742	283	12	3	CARDINAL
ejpam-5742	283	13	3	CARDINAL
ejpam-5742	283	14	4	CARDINAL
ejpam-5742	283	15	6	CARDINAL
ejpam-5742	283	16	7	CARDINAL
ejpam-5742	283	17	7	CARDINAL
ejpam-5742	283	18	0	CARDINAL
ejpam-5742	283	19	2 5 6 6 1 2 6 1 2 6 6 7 7 1 2 6 4 5 6 7	TIME
ejpam-5742	284	1	1	CARDINAL
ejpam-5742	284	2	2	DATE
ejpam-5742	284	3	4	DATE
ejpam-5742	284	4	5	DATE
ejpam-5742	284	5	6	DATE
ejpam-5742	284	6	7	CARDINAL
ejpam-5742	284	7	r. lemma 5	PERSON
ejpam-5742	285	1	adl	PERSON
ejpam-5742	287	1	r.	NORP
ejpam-5742	287	2	∈	ORG
ejpam-5742	288	1	⊆	CARDINAL
ejpam-5742	288	2	s++ ⊆	PERSON
ejpam-5742	288	3	κ)+	CARDINAL
ejpam-5742	289	1	⊆	CARDINAL
ejpam-5742	289	2	⊆	CARDINAL
ejpam-5742	290	1	κ)+	CARDINAL
ejpam-5742	291	1	τ ∨	ORG
ejpam-5742	291	2	τ ∨	PERSON
ejpam-5742	291	3	∈	ORG
ejpam-5742	291	4	∈	ORG
ejpam-5742	291	5	τ ∈ s.	PERSON
ejpam-5742	291	6	∈	ORG
ejpam-5742	291	7	n. rafi	PERSON
ejpam-5742	291	8	t. gaketem	PERSON
ejpam-5742	291	9	r. k. bandaru	PERSON
ejpam-5742	292	1	j. pure	PERSON
ejpam-5742	292	2	18	CARDINAL
ejpam-5742	292	3	2	CARDINAL
ejpam-5742	292	4	2025	CARDINAL
ejpam-5742	292	5	5742 9 of 14	DATE
ejpam-5742	292	6	⊆	CARDINAL
ejpam-5742	294	1	∈	ORG
ejpam-5742	295	1	κ)+	CARDINAL
ejpam-5742	295	2	⊆	CARDINAL
ejpam-5742	297	1	r.	NORP
ejpam-5742	297	2	adl	PERSON
ejpam-5742	297	3	9	DATE
ejpam-5742	298	1	adl	PERSON
ejpam-5742	298	2	adl	PERSON
ejpam-5742	298	3	∈	ORG
ejpam-5742	298	4	η ∈	PERSON
ejpam-5742	298	5	η ∈	PERSON
ejpam-5742	299	1	5	CARDINAL
ejpam-5742	300	1	two	CARDINAL
ejpam-5742	300	2	0	CARDINAL
ejpam-5742	300	3	0	CARDINAL
ejpam-5742	301	1	0	CARDINAL
ejpam-5742	301	2	0	DATE
ejpam-5742	301	3	0	CARDINAL
ejpam-5742	301	4	r.	NORP
ejpam-5742	301	5	∨	ORG
ejpam-5742	301	6	0	CARDINAL
ejpam-5742	301	7	0	DATE
ejpam-5742	301	8	0	CARDINAL
ejpam-5742	301	9	0	CARDINAL
ejpam-5742	301	10	0	DATE
ejpam-5742	301	11	0	CARDINAL
ejpam-5742	301	12	0	DATE
ejpam-5742	301	13	0	CARDINAL
ejpam-5742	301	14	0	CARDINAL
ejpam-5742	301	15	0	CARDINAL
ejpam-5742	301	16	0	CARDINAL
ejpam-5742	301	17	0	CARDINAL
ejpam-5742	301	18	0	CARDINAL
ejpam-5742	301	19	0	DATE
ejpam-5742	301	20	0	CARDINAL
ejpam-5742	301	21	0	CARDINAL
ejpam-5742	301	22	0	DATE
ejpam-5742	301	23	0	CARDINAL
ejpam-5742	301	24	0	DATE
ejpam-5742	301	25	0	CARDINAL
ejpam-5742	301	26	0	DATE
ejpam-5742	301	27	0	CARDINAL
ejpam-5742	301	28	0	DATE
ejpam-5742	301	29	0	CARDINAL
ejpam-5742	301	30	0	DATE
ejpam-5742	301	31	0	CARDINAL
ejpam-5742	301	32	0	DATE
ejpam-5742	301	33	0	CARDINAL
ejpam-5742	301	34	0	DATE
ejpam-5742	301	35	0	CARDINAL
ejpam-5742	301	36	0	CARDINAL
ejpam-5742	301	37	0	DATE
ejpam-5742	301	38	0	CARDINAL
ejpam-5742	301	39	0	CARDINAL
ejpam-5742	301	40	0	DATE
ejpam-5742	301	41	0	CARDINAL
ejpam-5742	301	42	0	CARDINAL
ejpam-5742	301	43	0	DATE
ejpam-5742	301	44	0	CARDINAL
ejpam-5742	301	45	0	CARDINAL
ejpam-5742	301	46	0	DATE
ejpam-5742	301	47	0	CARDINAL
ejpam-5742	301	48	0	CARDINAL
ejpam-5742	301	49	0	DATE
ejpam-5742	301	50	0	CARDINAL
ejpam-5742	301	51	0	DATE
ejpam-5742	301	52	0	CARDINAL
ejpam-5742	301	53	0	DATE
ejpam-5742	301	54	0	CARDINAL
ejpam-5742	301	55	0	DATE
ejpam-5742	301	56	0	CARDINAL
ejpam-5742	301	57	0	CARDINAL
ejpam-5742	301	58	0	DATE
ejpam-5742	301	59	0	CARDINAL
ejpam-5742	301	60	0′	GPE
ejpam-5742	301	61	0′	CARDINAL
ejpam-5742	303	1	0	CARDINAL
ejpam-5742	304	1	0	CARDINAL
ejpam-5742	304	2	ν2)}+	DATE
ejpam-5742	304	3	0	CARDINAL
ejpam-5742	305	1	ν2)}+	DATE
ejpam-5742	305	2	0	CARDINAL
ejpam-5742	305	3	0)+	CARDINAL
ejpam-5742	305	4	ν2)}+	DATE
ejpam-5742	305	5	0	CARDINAL
ejpam-5742	305	6	0)+	CARDINAL
ejpam-5742	305	7	0	CARDINAL
ejpam-5742	305	8	ν2)}+	DATE
ejpam-5742	305	9	0	CARDINAL
ejpam-5742	306	1	0	CARDINAL
ejpam-5742	306	2	0)+	CARDINAL
ejpam-5742	307	1	0	CARDINAL
ejpam-5742	307	2	0)+	CARDINAL
ejpam-5742	307	3	0′	GPE
ejpam-5742	307	4	adl	PERSON
ejpam-5742	307	5	n. rafi	PERSON
ejpam-5742	307	6	t. gaketem	PERSON
ejpam-5742	307	7	r. k. bandaru	PERSON
ejpam-5742	308	1	j. pure	PERSON
ejpam-5742	308	2	18	CARDINAL
ejpam-5742	308	3	2	CARDINAL
ejpam-5742	308	4	2025	CARDINAL
ejpam-5742	308	5	5742 10	DATE
ejpam-5742	308	6	14	CARDINAL
ejpam-5742	308	7	6	CARDINAL
ejpam-5742	309	1	adl r	PERSON
ejpam-5742	313	1	⊆	CARDINAL
ejpam-5742	314	1	∈	ORG
ejpam-5742	315	1	η ∈	ORG
ejpam-5742	315	2	η ∈	PERSON
ejpam-5742	315	3	η ∈ mmax.elt(r	PERSON
ejpam-5742	316	1	η /∈	PERSON
ejpam-5742	317	1	η ∈ mmax.elt(r	PERSON
ejpam-5742	317	2	η /∈ x	PERSON
ejpam-5742	319	1	⊆	CARDINAL
ejpam-5742	321	1	r.	NORP
ejpam-5742	321	2	10	CARDINAL
ejpam-5742	325	1	m(f	PERSON
ejpam-5742	325	2	r.	NORP
ejpam-5742	325	3	r.	NORP
ejpam-5742	325	4	η ∈	ORG
ejpam-5742	325	5	s.	PERSON
ejpam-5742	325	6	η /∈ s.	PERSON
ejpam-5742	325	7	η /∈	PERSON
ejpam-5742	328	1	⊆	CARDINAL
ejpam-5742	328	2	m(f	PERSON
ejpam-5742	329	1	m(f	PERSON
ejpam-5742	331	1	ω ∈	ORG
ejpam-5742	331	2	⊆	CARDINAL
ejpam-5742	331	3	⊆	CARDINAL
ejpam-5742	331	4	m(f	PERSON
ejpam-5742	332	1	ω ∈	ORG
ejpam-5742	332	2	m(f	PERSON
ejpam-5742	332	3	f ∩ m(f	PERSON
ejpam-5742	332	4	m(f	PERSON
ejpam-5742	334	1	κ∨η	PERSON
ejpam-5742	335	1	m(f	PERSON
ejpam-5742	335	2	κ∨η	PERSON
ejpam-5742	337	1	∈	ORG
ejpam-5742	337	2	η ∈ s.	PERSON
ejpam-5742	338	1	11	CARDINAL
ejpam-5742	339	1	adl r	PERSON
ejpam-5742	341	1	r.	NORP
ejpam-5742	341	2	m(f	PERSON
ejpam-5742	342	1	∈	ORG
ejpam-5742	342	2	η ∈	PERSON
ejpam-5742	342	3	η ∈	ORG
ejpam-5742	344	1	η ∈	PERSON
ejpam-5742	344	2	η ∈ m(f	PERSON
ejpam-5742	345	1	m(f	PERSON
ejpam-5742	349	1	10	CARDINAL
ejpam-5742	352	1	6	CARDINAL
ejpam-5742	353	1	4	CARDINAL
ejpam-5742	353	2	1	CARDINAL
ejpam-5742	353	3	2	DATE
ejpam-5742	353	4	3	DATE
ejpam-5742	353	5	6	CARDINAL
ejpam-5742	355	1	12	CARDINAL
ejpam-5742	356	1	adl r	PERSON
ejpam-5742	356	2	∈	ORG
ejpam-5742	356	3	∈	ORG
ejpam-5742	357	1	n. rafi	PERSON
ejpam-5742	357	2	t. gaketem	PERSON
ejpam-5742	357	3	r. k. bandaru	PERSON
ejpam-5742	358	1	j. pure	PERSON
ejpam-5742	358	2	18	CARDINAL
ejpam-5742	358	3	2	CARDINAL
ejpam-5742	358	4	2025	CARDINAL
ejpam-5742	358	5	5742 11	DATE
ejpam-5742	358	6	14	CARDINAL
ejpam-5742	359	1	1	CARDINAL
ejpam-5742	359	2	2 ⇒ 3	CARDINAL
ejpam-5742	359	3	2	CARDINAL
ejpam-5742	359	4	r.	NORP
ejpam-5742	359	5	r.	NORP
ejpam-5742	359	6	2	CARDINAL
ejpam-5742	360	1	adl	PERSON
ejpam-5742	361	1	η ∈	PERSON
ejpam-5742	363	1	⊆	CARDINAL
ejpam-5742	363	2	⊆	CARDINAL
ejpam-5742	365	1	τ ∨	ORG
ejpam-5742	366	1	η)++	NORP
ejpam-5742	366	2	∈	ORG
ejpam-5742	367	1	κ)+ ⊆	CARDINAL
ejpam-5742	367	2	η)++	NORP
ejpam-5742	368	1	3	CARDINAL
ejpam-5742	368	2	3	CARDINAL
ejpam-5742	369	1	r.	NORP
ejpam-5742	369	2	∈	ORG
ejpam-5742	369	3	m−	NORP
ejpam-5742	369	4	∈	ORG
ejpam-5742	371	1	zorn	ORG
ejpam-5742	371	2	∈	ORG
ejpam-5742	372	1	4 ⇒ 5	CARDINAL
ejpam-5742	372	2	4	CARDINAL
ejpam-5742	373	1	r.	NORP
ejpam-5742	373	2	r.	NORP
ejpam-5742	373	3	4	DATE
ejpam-5742	373	4	∈	ORG
ejpam-5742	373	5	r.	NORP
ejpam-5742	373	6	∈	ORG
ejpam-5742	374	1	∈	ORG
ejpam-5742	375	1	η ∈	PERSON
ejpam-5742	375	2	η ∈	PERSON
ejpam-5742	378	1	η ∈ mmax.elt(r	PERSON
ejpam-5742	378	2	η /∈ x	PERSON
ejpam-5742	381	1	5	CARDINAL
ejpam-5742	381	2	5	CARDINAL
ejpam-5742	382	1	r.	NORP
ejpam-5742	382	2	m(f	PERSON
ejpam-5742	382	3	r.	NORP
ejpam-5742	383	1	⊆	CARDINAL
ejpam-5742	384	1	∈	ORG
ejpam-5742	385	1	⊆	CARDINAL
ejpam-5742	385	2	∈	ORG
ejpam-5742	386	1	adl	PERSON
ejpam-5742	386	2	η ∈	ORG
ejpam-5742	386	3	η ∈	PERSON
ejpam-5742	387	1	η /∈	PERSON
ejpam-5742	389	1	r.	NORP
ejpam-5742	390	1	⊆	CARDINAL
ejpam-5742	390	2	⊆	CARDINAL
ejpam-5742	390	3	s++ = mmax.elt(r	PERSON
ejpam-5742	391	1	⊆	CARDINAL
ejpam-5742	392	1	∈	ORG
ejpam-5742	392	2	∩ e.	PERSON
ejpam-5742	392	3	σ ∈	ORG
ejpam-5742	392	4	µ)+ = mmax.elt(r	QUANTITY
ejpam-5742	393	1	δ)+	CARDINAL
ejpam-5742	393	2	σ)+	CARDINAL
ejpam-5742	393	3	δ ∧	ORG
ejpam-5742	395	1	µ)+	CARDINAL
ejpam-5742	396	1	m(f	PERSON
ejpam-5742	396	2	τ ∈ mmax.elt(r	PERSON
ejpam-5742	397	1	∈	ORG
ejpam-5742	397	2	σ ∈	ORG
ejpam-5742	397	3	ν	NORP
ejpam-5742	398	1	∈	ORG
ejpam-5742	398	2	σ)+	CARDINAL
ejpam-5742	399	1	δ)+	CARDINAL
ejpam-5742	399	2	σ)+	CARDINAL
ejpam-5742	399	3	σ)+	CARDINAL
ejpam-5742	399	4	⊆	CARDINAL
ejpam-5742	399	5	m(f	GPE
ejpam-5742	400	1	ν ∈ s	ORG
ejpam-5742	401	1	r.	NORP
ejpam-5742	401	2	m(f	PERSON
ejpam-5742	401	3	∩ m(g	PERSON
ejpam-5742	402	1	m(f ∩	PERSON
ejpam-5742	402	2	m(f	PERSON
ejpam-5742	402	3	m(g	PERSON
ejpam-5742	402	4	m(f	PERSON
ejpam-5742	402	5	r.	NORP
ejpam-5742	402	6	two	CARDINAL
ejpam-5742	402	7	r.	NORP
ejpam-5742	402	8	11	DATE
ejpam-5742	403	1	two	CARDINAL
ejpam-5742	403	2	two m−filters	DATE
ejpam-5742	405	1	two	CARDINAL
ejpam-5742	406	1	n. rafi	PERSON
ejpam-5742	406	2	t. gaketem	PERSON
ejpam-5742	406	3	r. k. bandaru	PERSON
ejpam-5742	407	1	j. pure	PERSON
ejpam-5742	407	2	18	CARDINAL
ejpam-5742	407	3	2	CARDINAL
ejpam-5742	407	4	2025	CARDINAL
ejpam-5742	407	5	5742 12	DATE
ejpam-5742	407	6	14	DATE
ejpam-5742	410	1	7	CARDINAL
ejpam-5742	411	1	0	CARDINAL
ejpam-5742	411	2	σ	ORG
ejpam-5742	411	3	1	CARDINAL
ejpam-5742	417	1	σ	ORG
ejpam-5742	417	2	ϑ,	CARDINAL
ejpam-5742	417	3	1	CARDINAL
ejpam-5742	417	4	σ	CARDINAL
ejpam-5742	417	5	1	CARDINAL
ejpam-5742	418	1	0	CARDINAL
ejpam-5742	418	2	0	CARDINAL
ejpam-5742	418	3	r.	NORP
ejpam-5742	418	4	m(f	GPE
ejpam-5742	418	5	m(g	PERSON
ejpam-5742	419	1	s. consequently	PERSON
ejpam-5742	419	2	two	CARDINAL
ejpam-5742	419	3	r.	NORP
ejpam-5742	422	1	σ	ORG
ejpam-5742	422	2	1	CARDINAL
ejpam-5742	422	3	r. lemma 7	PERSON
ejpam-5742	424	1	η ∈	ORG
ejpam-5742	427	1	m((κ	DATE
ejpam-5742	427	2	∨ η	PERSON
ejpam-5742	429	1	13	CARDINAL
ejpam-5742	430	1	two	CARDINAL
ejpam-5742	432	1	two	CARDINAL
ejpam-5742	432	2	r.	NORP
ejpam-5742	433	1	σ ∈	PERSON
ejpam-5742	433	2	τ ∨	ORG
ejpam-5742	433	3	σ ∨ η ∈ mmax.elt(r	ORG
ejpam-5742	433	4	η /∈ y.	PERSON
ejpam-5742	433	5	σ ∨	PERSON
ejpam-5742	433	6	η ∨	PERSON
ejpam-5742	435	1	⊆	CARDINAL
ejpam-5742	435	2	η ∨ τ)+	ORG
ejpam-5742	435	3	⊆	CARDINAL
ejpam-5742	436	1	τ ∨	ORG
ejpam-5742	437	1	12	CARDINAL
ejpam-5742	438	1	∈	ORG
ejpam-5742	438	2	τ ∈ s	PERSON
ejpam-5742	438	3	τ ∨	ORG
ejpam-5742	438	4	8	CARDINAL
ejpam-5742	439	1	∈	ORG
ejpam-5742	441	1	n. rafi	PERSON
ejpam-5742	441	2	t. gaketem	PERSON
ejpam-5742	441	3	r. k. bandaru	PERSON
ejpam-5742	442	1	j. pure	PERSON
ejpam-5742	442	2	18	CARDINAL
ejpam-5742	442	3	2	CARDINAL
ejpam-5742	442	4	2025	CARDINAL
ejpam-5742	442	5	5742 13	DATE
ejpam-5742	442	6	14	CARDINAL
ejpam-5742	443	1	1	CARDINAL
ejpam-5742	443	2	∈	ORG
ejpam-5742	444	1	∈	ORG
ejpam-5742	446	1	θ ∈	ORG
ejpam-5742	449	1	σ ∨	ORG
ejpam-5742	450	1	σ ∨	ORG
ejpam-5742	451	1	2	CARDINAL
ejpam-5742	452	1	r.	NORP
ejpam-5742	452	2	m(f	PERSON
ejpam-5742	454	1	m(f	PERSON
ejpam-5742	455	1	m(f ∩	PERSON
ejpam-5742	457	1	14	DATE
ejpam-5742	459	1	η ∈	ORG
ejpam-5742	459	2	∨ η ∈ mmax.elt(r	PERSON
ejpam-5742	461	1	η ∈	ORG
ejpam-5742	462	1	κ)+⊔(η)+ = r. now	PERSON
ejpam-5742	473	1	two	CARDINAL
ejpam-5742	477	1	1	CARDINAL
ejpam-5742	477	2	u.m.	GPE
ejpam-5742	477	3	g.c. rao	PERSON
ejpam-5742	479	1	j. aust	PERSON
ejpam-5742	482	1	1981	DATE
ejpam-5742	483	1	n. rafi	PERSON
ejpam-5742	483	2	t. gaketem	PERSON
ejpam-5742	483	3	r. k. bandaru	PERSON
ejpam-5742	484	1	j. pure	PERSON
ejpam-5742	484	2	18	CARDINAL
ejpam-5742	484	3	2	CARDINAL
ejpam-5742	484	4	2025	CARDINAL
ejpam-5742	484	5	5742 14 of 14	DATE
ejpam-5742	484	6	2	CARDINAL
ejpam-5742	484	7	n. rafi	PERSON
ejpam-5742	484	8	ravi kumar bandaru	PERSON
ejpam-5742	486	1	j. math.	ORG
ejpam-5742	486	2	10:53–65	DATE
ejpam-5742	486	3	2018	DATE
ejpam-5742	487	1	3	CARDINAL
ejpam-5742	487	2	m. sambasiva rao	PERSON
ejpam-5742	487	3	g.c. rao	PERSON
ejpam-5742	489	1	chamchuri journal of mathematics	ORG
ejpam-5742	489	2	4:13	TIME
ejpam-5742	489	3	21, 2012	DATE
ejpam-5742	490	1	4	CARDINAL
ejpam-5742	490	2	m. sambasiva rao	PERSON
ejpam-5742	492	1	southeast asian	NORP
ejpam-5742	492	2	121	CARDINAL
ejpam-5742	492	3	2015	DATE
ejpam-5742	493	1	5	CARDINAL
ejpam-5742	493	2	ravi kumar bandaru n. rafi	PERSON
ejpam-5742	493	3	g.c. rao	PERSON
ejpam-5742	495	1	southeast asian	NORP
ejpam-5742	495	2	39:841–850	CARDINAL
ejpam-5742	495	3	2015	DATE
ejpam-5742	496	1	6	CARDINAL
ejpam-5742	496	2	rao	PERSON
ejpam-5742	498	1	andhra university	ORG
ejpam-5742	498	2	visakhapatnam	GPE
ejpam-5742	498	3	1980	DATE
ejpam-5742	499	1	7	CARDINAL
ejpam-5742	501	1	amer	PERSON
ejpam-5742	503	1	collequium pub, 1967	ORG
ejpam-5742	504	1	8	CARDINAL
ejpam-5742	506	1	new york	GPE
ejpam-5742	506	2	sanfransisco	GPE
ejpam-5742	506	3	1978	DATE
ejpam-5742	507	1	9	CARDINAL
ejpam-5742	507	2	n. rafi	PERSON
ejpam-5742	509	1	3(12):17–23	CARDINAL
ejpam-5742	509	2	2015	DATE
ejpam-5742	510	1	10	CARDINAL
ejpam-5742	510	2	n. rafi	PERSON
ejpam-5742	512	1	2016	DATE
ejpam-5742	512	2	4521	DATE
ejpam-5742	512	3	2016	DATE