id	sid	eid	entity	type
ejpam-6834	1	1	european journal	ORG
ejpam-6834	1	2	2025	DATE
ejpam-6834	1	3	18	CARDINAL
ejpam-6834	1	4	4	CARDINAL
ejpam-6834	1	5	6834	CARDINAL
ejpam-6834	1	6	1307-5543	DATE
ejpam-6834	1	7	new york	GPE
ejpam-6834	1	8	smarandache2 1	FAC
ejpam-6834	1	9	shinjuku	GPE
ejpam-6834	1	10	shinjuku-ku	PERSON
ejpam-6834	1	11	tokyo	GPE
ejpam-6834	1	12	japan	GPE
ejpam-6834	1	13	2	CARDINAL
ejpam-6834	1	14	university of new mexico	ORG
ejpam-6834	1	15	gallup	ORG
ejpam-6834	1	16	87301	DATE
ejpam-6834	1	17	usa.	GPE
ejpam-6834	4	1	1	CARDINAL
ejpam-6834	4	2	2	CARDINAL
ejpam-6834	7	1	two	CARDINAL
ejpam-6834	7	2	the (h, k)-ary (	ORG
ejpam-6834	8	1	1	CARDINAL
ejpam-6834	8	2	2	CARDINAL
ejpam-6834	11	1	2020	DATE
ejpam-6834	11	2	03e72	CARDINAL
ejpam-6834	11	3	1	CARDINAL
ejpam-6834	15	1	f. smarandache	PERSON
ejpam-6834	16	1	1	CARDINAL
ejpam-6834	16	2	2025	CARDINAL
ejpam-6834	17	1	t. fujita	PERSON
ejpam-6834	18	1	j. pure	PERSON
ejpam-6834	18	2	18	CARDINAL
ejpam-6834	18	3	4	CARDINAL
ejpam-6834	18	4	2025	CARDINAL
ejpam-6834	18	5	6834 2	DATE
ejpam-6834	18	6	69	CARDINAL
ejpam-6834	18	7	4	CARDINAL
ejpam-6834	19	1	5	CARDINAL
ejpam-6834	19	2	6	CARDINAL
ejpam-6834	19	3	8	CARDINAL
ejpam-6834	19	4	9	CARDINAL
ejpam-6834	19	5	10	CARDINAL
ejpam-6834	19	6	12	CARDINAL
ejpam-6834	19	7	14	CARDINAL
ejpam-6834	19	8	15	CARDINAL
ejpam-6834	20	1	1	CARDINAL
ejpam-6834	20	2	1	CARDINAL
ejpam-6834	22	1	0	CARDINAL
ejpam-6834	22	2	1	CARDINAL
ejpam-6834	23	1	5	CARDINAL
ejpam-6834	24	1	16	CARDINAL
ejpam-6834	24	2	17	CARDINAL
ejpam-6834	25	1	two degrees	QUANTITY
ejpam-6834	26	1	7	CARDINAL
ejpam-6834	26	2	18	CARDINAL
ejpam-6834	27	1	8	CARDINAL
ejpam-6834	28	1	9	CARDINAL
ejpam-6834	28	2	19	CARDINAL
ejpam-6834	28	3	20	CARDINAL
ejpam-6834	29	1	neutrosophic	ORG
ejpam-6834	29	2	0 ≤	MONEY
ejpam-6834	30	1	10	CARDINAL
ejpam-6834	30	2	21	CARDINAL
ejpam-6834	30	3	22	CARDINAL
ejpam-6834	32	1	15	CARDINAL
ejpam-6834	35	1	two	CARDINAL
ejpam-6834	36	1	first	ORDINAL
ejpam-6834	36	2	26	CARDINAL
ejpam-6834	36	3	27	CARDINAL
ejpam-6834	37	1	second	ORDINAL
ejpam-6834	37	2	28	CARDINAL
ejpam-6834	37	3	29	CARDINAL
ejpam-6834	38	1	30	CARDINAL
ejpam-6834	38	2	32	CARDINAL
ejpam-6834	38	3	33	DATE
ejpam-6834	39	1	superhyperalgebra[34	ORG
ejpam-6834	39	2	35	CARDINAL
ejpam-6834	39	3	37	DATE
ejpam-6834	41	1	2	CARDINAL
ejpam-6834	44	1	t. fujita	PERSON
ejpam-6834	45	1	j. pure	PERSON
ejpam-6834	45	2	18	CARDINAL
ejpam-6834	45	3	4	CARDINAL
ejpam-6834	45	4	2025	CARDINAL
ejpam-6834	45	5	6834 3	DATE
ejpam-6834	45	6	69	CARDINAL
ejpam-6834	45	7	2	CARDINAL
ejpam-6834	50	1	30	CARDINAL
ejpam-6834	51	1	hyperstructure p(s	PERSON
ejpam-6834	54	1	hypergroups	GPE
ejpam-6834	55	1	26	CARDINAL
ejpam-6834	55	2	27	DATE
ejpam-6834	59	1	32	CARDINAL
ejpam-6834	59	2	33	DATE
ejpam-6834	59	3	34	CARDINAL
ejpam-6834	59	4	35	CARDINAL
ejpam-6834	59	5	36	CARDINAL
ejpam-6834	62	1	38	CARDINAL
ejpam-6834	62	2	39	CARDINAL
ejpam-6834	62	3	40	CARDINAL
ejpam-6834	62	4	42	DATE
ejpam-6834	63	1	43	CARDINAL
ejpam-6834	63	2	44	DATE
ejpam-6834	63	3	45	CARDINAL
ejpam-6834	63	4	46	CARDINAL
ejpam-6834	64	1	1	CARDINAL
ejpam-6834	64	2	2	CARDINAL
ejpam-6834	65	1	47	CARDINAL
ejpam-6834	65	2	1	CARDINAL
ejpam-6834	66	1	3	CARDINAL
ejpam-6834	69	1	48	CARDINAL
ejpam-6834	74	1	t. fujita	PERSON
ejpam-6834	75	1	j. pure	PERSON
ejpam-6834	75	2	18	CARDINAL
ejpam-6834	75	3	4	CARDINAL
ejpam-6834	75	4	2025	CARDINAL
ejpam-6834	75	5	6834 4	DATE
ejpam-6834	75	6	69	CARDINAL
ejpam-6834	75	7	3	CARDINAL
ejpam-6834	79	1	5	CARDINAL
ejpam-6834	79	2	8	CARDINAL
ejpam-6834	79	3	9	CARDINAL
ejpam-6834	79	4	10	CARDINAL
ejpam-6834	79	5	15	CARDINAL
ejpam-6834	82	1	38	CARDINAL
ejpam-6834	82	2	39	CARDINAL
ejpam-6834	83	1	40	CARDINAL
ejpam-6834	83	2	42	DATE
ejpam-6834	83	3	43	CARDINAL
ejpam-6834	83	4	45	CARDINAL
ejpam-6834	83	5	46	CARDINAL
ejpam-6834	85	1	superhyperfuzzy	PERSON
ejpam-6834	86	1	1	CARDINAL
ejpam-6834	90	1	4	CARDINAL
ejpam-6834	90	2	k)–ary	GPE
ejpam-6834	91	1	4	CARDINAL
ejpam-6834	91	2	k)–ary	GPE
ejpam-6834	93	1	d(n	PERSON
ejpam-6834	94	1	n=0	PERSON
ejpam-6834	96	1	d(n	PERSON
ejpam-6834	97	1	k)–ary	GPE
ejpam-6834	98	1	d(n))k	ORG
ejpam-6834	98	2	k=1	PERSON
ejpam-6834	100	1	d(n	PERSON
ejpam-6834	100	2	1	CARDINAL
ejpam-6834	100	3	1	CARDINAL
ejpam-6834	100	4	3	CARDINAL
ejpam-6834	102	1	t. fujita	PERSON
ejpam-6834	103	1	j. pure	PERSON
ejpam-6834	103	2	18	CARDINAL
ejpam-6834	103	3	4	CARDINAL
ejpam-6834	103	4	2025	CARDINAL
ejpam-6834	103	5	6834 5	DATE
ejpam-6834	103	6	69	CARDINAL
ejpam-6834	105	1	5	CARDINAL
ejpam-6834	105	2	5	CARDINAL
ejpam-6834	106	1	2	CARDINAL
ejpam-6834	107	1	3	CARDINAL
ejpam-6834	109	1	4	CARDINAL
ejpam-6834	109	2	k)-ary	DATE
ejpam-6834	109	3	n)–superhypersoft	LOC
ejpam-6834	110	1	5	CARDINAL
ejpam-6834	111	1	2	CARDINAL
ejpam-6834	113	1	2.1	CARDINAL
ejpam-6834	115	1	29	CARDINAL
ejpam-6834	116	1	28	CARDINAL
ejpam-6834	116	2	29	CARDINAL
ejpam-6834	117	1	first	ORDINAL
ejpam-6834	118	1	28	CARDINAL
ejpam-6834	118	2	29	CARDINAL
ejpam-6834	119	1	t. fujita	PERSON
ejpam-6834	120	1	j. pure	PERSON
ejpam-6834	120	2	18	CARDINAL
ejpam-6834	120	3	4	CARDINAL
ejpam-6834	120	4	2025	CARDINAL
ejpam-6834	120	5	6834 6	DATE
ejpam-6834	120	6	1	CARDINAL
ejpam-6834	123	1	2	CARDINAL
ejpam-6834	127	1	3	CARDINAL
ejpam-6834	128	1	29	CARDINAL
ejpam-6834	128	2	1	CARDINAL
ejpam-6834	128	3	p1(h	PERSON
ejpam-6834	128	4	pn+1(h	PERSON
ejpam-6834	131	1	1	CARDINAL
ejpam-6834	131	2	p∗(h	TIME
ejpam-6834	134	1	1	CARDINAL
ejpam-6834	136	1	p1(h	PERSON
ejpam-6834	138	1	second	ORDINAL
ejpam-6834	139	1	p1(h	PERSON
ejpam-6834	139	2	p1(h	PERSON
ejpam-6834	140	1	p1(h	PERSON
ejpam-6834	140	2	four	CARDINAL
ejpam-6834	140	3	24	CARDINAL
ejpam-6834	140	4	16	CARDINAL
ejpam-6834	140	5	0	CARDINAL
ejpam-6834	140	6	1	CARDINAL
ejpam-6834	140	7	2	CARDINAL
ejpam-6834	140	8	3	CARDINAL
ejpam-6834	140	9	4	CARDINAL
ejpam-6834	141	1	four	CARDINAL
ejpam-6834	143	1	t. fujita	PERSON
ejpam-6834	144	1	j. pure	PERSON
ejpam-6834	144	2	18	CARDINAL
ejpam-6834	144	3	4	CARDINAL
ejpam-6834	144	4	2025	CARDINAL
ejpam-6834	144	5	6834 7 of 69	DATE
ejpam-6834	145	1	4	CARDINAL
ejpam-6834	146	1	49	DATE
ejpam-6834	146	2	one	CARDINAL
ejpam-6834	147	1	1	CARDINAL
ejpam-6834	147	2	cartesian	NORP
ejpam-6834	148	1	5	CARDINAL
ejpam-6834	149	1	51	CARDINAL
ejpam-6834	149	2	two	CARDINAL
ejpam-6834	150	1	s.	PERSON
ejpam-6834	150	2	6	CARDINAL
ejpam-6834	151	1	28	CARDINAL
ejpam-6834	151	2	52	DATE
ejpam-6834	154	1	2	CARDINAL
ejpam-6834	156	1	σ(milk	ORG
ejpam-6834	156	2	σ(x	ORG
ejpam-6834	157	1	⊙	LAW
ejpam-6834	158	1	⋃	DATE
ejpam-6834	160	1	⊙	ORG
ejpam-6834	161	1	t. fujita	PERSON
ejpam-6834	162	1	j. pure	PERSON
ejpam-6834	162	2	18	CARDINAL
ejpam-6834	162	3	4	CARDINAL
ejpam-6834	162	4	2025	CARDINAL
ejpam-6834	162	5	6834 8	DATE
ejpam-6834	163	1	p(h	PERSON
ejpam-6834	163	2	h. the n-th	FAC
ejpam-6834	164	1	0	CARDINAL
ejpam-6834	166	1	∗	CARDINAL
ejpam-6834	166	2	pn ∗ (h	ORG
ejpam-6834	166	3	•	CARDINAL
ejpam-6834	166	4	pn ∗ (h	ORG
ejpam-6834	169	1	8	CARDINAL
ejpam-6834	170	1	29	CARDINAL
ejpam-6834	170	2	49	DATE
ejpam-6834	170	3	53	DATE
ejpam-6834	173	1	3	CARDINAL
ejpam-6834	173	2	2	CARDINAL
ejpam-6834	175	1	featureb	ORG
ejpam-6834	178	1	merge(c1	GPE
ejpam-6834	179	1	g1	ORG
ejpam-6834	180	1	t. fujita	PERSON
ejpam-6834	181	1	j. pure	PERSON
ejpam-6834	181	2	18	CARDINAL
ejpam-6834	181	3	4	CARDINAL
ejpam-6834	181	4	2025	CARDINAL
ejpam-6834	181	5	6834 9 of 69	DATE
ejpam-6834	181	6	2	CARDINAL
ejpam-6834	181	7	two	CARDINAL
ejpam-6834	181	8	one	CARDINAL
ejpam-6834	183	1	9	DATE
ejpam-6834	185	1	1	CARDINAL
ejpam-6834	185	2	2	DATE
ejpam-6834	186	1	⊆	CARDINAL
ejpam-6834	186	2	0	CARDINAL
ejpam-6834	187	1	1	CARDINAL
ejpam-6834	187	2	2	DATE
ejpam-6834	189	1	⊆	CARDINAL
ejpam-6834	189	2	0	CARDINAL
ejpam-6834	195	1	α(x1	ORG
ejpam-6834	201	1	∈	ORG
ejpam-6834	202	1	4	CARDINAL
ejpam-6834	202	2	2	CARDINAL
ejpam-6834	202	3	2)-ary	CARDINAL
ejpam-6834	204	1	masahiro	PERSON
ejpam-6834	204	2	shinya	PERSON
ejpam-6834	207	1	t. fujita	PERSON
ejpam-6834	208	1	j. pure	PERSON
ejpam-6834	208	2	18	CARDINAL
ejpam-6834	208	3	4	CARDINAL
ejpam-6834	208	4	2025	CARDINAL
ejpam-6834	208	5	6834 10	DATE
ejpam-6834	208	6	2	CARDINAL
ejpam-6834	208	7	1	CARDINAL
ejpam-6834	208	8	1	CARDINAL
ejpam-6834	211	1	•	CARDINAL
ejpam-6834	211	2	2	CARDINAL
ejpam-6834	211	3	1	CARDINAL
ejpam-6834	211	4	1	CARDINAL
ejpam-6834	218	1	∃	ORG
ejpam-6834	219	1	masahiro	PERSON
ejpam-6834	219	2	{shinya	PERSON
ejpam-6834	219	3	dan}	PERSON
ejpam-6834	221	1	2	CARDINAL
ejpam-6834	221	2	2)-ary	CARDINAL
ejpam-6834	222	1	5	CARDINAL
ejpam-6834	222	2	2	CARDINAL
ejpam-6834	222	3	2)-ary	CARDINAL
ejpam-6834	224	1	doorsensor	PERSON
ejpam-6834	225	1	t. fujita	PERSON
ejpam-6834	226	1	j. pure	PERSON
ejpam-6834	226	2	18	CARDINAL
ejpam-6834	226	3	4	CARDINAL
ejpam-6834	226	4	2025	CARDINAL
ejpam-6834	226	5	6834 11	DATE
ejpam-6834	226	6	69	CARDINAL
ejpam-6834	226	7	two	CARDINAL
ejpam-6834	226	8	doorsensor	PERSON
ejpam-6834	226	9	1	CARDINAL
ejpam-6834	226	10	ownerapp	ORG
ejpam-6834	226	11	1	CARDINAL
ejpam-6834	227	1	two	CARDINAL
ejpam-6834	227	2	1	CARDINAL
ejpam-6834	227	3	ownerapp	ORG
ejpam-6834	227	4	1	CARDINAL
ejpam-6834	231	1	∈	ORG
ejpam-6834	231	2	∈	ORG
ejpam-6834	235	1	2	CARDINAL
ejpam-6834	235	2	2)-ary	CARDINAL
ejpam-6834	236	1	t. fujita	PERSON
ejpam-6834	237	1	j. pure	PERSON
ejpam-6834	237	2	18	CARDINAL
ejpam-6834	237	3	4	CARDINAL
ejpam-6834	237	4	2025	CARDINAL
ejpam-6834	237	5	6834 12	DATE
ejpam-6834	237	6	69 2.2	CARDINAL
ejpam-6834	238	1	54	DATE
ejpam-6834	238	2	55	CARDINAL
ejpam-6834	239	1	sets[56	PERSON
ejpam-6834	241	1	10	CARDINAL
ejpam-6834	242	1	5	CARDINAL
ejpam-6834	243	1	0	CARDINAL
ejpam-6834	243	2	1	CARDINAL
ejpam-6834	245	1	δ(y	PERSON
ejpam-6834	245	2	11	CARDINAL
ejpam-6834	246	1	2	CARDINAL
ejpam-6834	247	1	1	CARDINAL
ejpam-6834	248	1	1	CARDINAL
ejpam-6834	248	2	0	CARDINAL
ejpam-6834	248	3	1	CARDINAL
ejpam-6834	249	1	µ̃(x	PERSON
ejpam-6834	249	2	0	CARDINAL
ejpam-6834	249	3	1	CARDINAL
ejpam-6834	251	1	6	CARDINAL
ejpam-6834	253	1	1	CARDINAL
ejpam-6834	255	1	0.7	CARDINAL
ejpam-6834	255	2	0.9	CARDINAL
ejpam-6834	255	3	0.5	CARDINAL
ejpam-6834	255	4	0.6	CARDINAL
ejpam-6834	255	5	0.7	CARDINAL
ejpam-6834	255	6	µ̃(r3	ORG
ejpam-6834	256	1	0.2	CARDINAL
ejpam-6834	256	2	0.4	CARDINAL
ejpam-6834	256	3	0.6	CARDINAL
ejpam-6834	257	1	•	CARDINAL
ejpam-6834	258	1	0.7	CARDINAL
ejpam-6834	258	2	0.9	CARDINAL
ejpam-6834	258	3	0.7	CARDINAL
ejpam-6834	258	4	0.9	CARDINAL
ejpam-6834	259	1	•	CARDINAL
ejpam-6834	259	2	0.5	CARDINAL
ejpam-6834	259	3	0.6	CARDINAL
ejpam-6834	259	4	0.7	CARDINAL
ejpam-6834	259	5	three	CARDINAL
ejpam-6834	262	1	0.2	CARDINAL
ejpam-6834	262	2	0.4	CARDINAL
ejpam-6834	262	3	0.6	CARDINAL
ejpam-6834	262	4	one	CARDINAL
ejpam-6834	262	5	0.6	CARDINAL
ejpam-6834	264	1	t. fujita	PERSON
ejpam-6834	265	1	j. pure	PERSON
ejpam-6834	265	2	18	CARDINAL
ejpam-6834	265	3	4	CARDINAL
ejpam-6834	265	4	2025	CARDINAL
ejpam-6834	265	5	6834 13	DATE
ejpam-6834	266	1	1	CARDINAL
ejpam-6834	266	2	2	CARDINAL
ejpam-6834	268	1	1	CARDINAL
ejpam-6834	268	2	•	CARDINAL
ejpam-6834	268	3	k ≥ 2	ORG
ejpam-6834	268	4	x. • p̃n([0	EVENT
ejpam-6834	268	5	1	CARDINAL
ejpam-6834	268	6	0	CARDINAL
ejpam-6834	268	7	1	CARDINAL
ejpam-6834	269	1	•	CARDINAL
ejpam-6834	269	2	∈	ORG
ejpam-6834	270	1	⊆	CARDINAL
ejpam-6834	270	2	0	CARDINAL
ejpam-6834	270	3	1	CARDINAL
ejpam-6834	270	4	7	CARDINAL
ejpam-6834	270	5	2	CARDINAL
ejpam-6834	274	1	2-superhyperfuzzy	QUANTITY
ejpam-6834	274	2	1	CARDINAL
ejpam-6834	274	3	one	CARDINAL
ejpam-6834	274	4	0.70	CARDINAL
ejpam-6834	274	5	0.75	CARDINAL
ejpam-6834	275	1	0.60	CARDINAL
ejpam-6834	275	2	0.65	CARDINAL
ejpam-6834	275	3	0.50	CARDINAL
ejpam-6834	275	4	0.55	CARDINAL
ejpam-6834	276	1	0	CARDINAL
ejpam-6834	276	2	1	CARDINAL
ejpam-6834	277	1	8	CARDINAL
ejpam-6834	277	2	3-superhyperfuzzy	QUANTITY
ejpam-6834	278	1	sensor1	PERSON
ejpam-6834	278	2	sensor2	PERSON
ejpam-6834	279	1	sensor1	PERSON
ejpam-6834	279	2	sensor2	PERSON
ejpam-6834	279	3	t. fujita	PERSON
ejpam-6834	280	1	j. pure	PERSON
ejpam-6834	280	2	18	CARDINAL
ejpam-6834	280	3	4	CARDINAL
ejpam-6834	280	4	2025	CARDINAL
ejpam-6834	280	5	6834 14	DATE
ejpam-6834	283	1	sensor1	PERSON
ejpam-6834	283	2	sensor2	PERSON
ejpam-6834	283	3	sensor1	PERSON
ejpam-6834	283	4	sensor2	PERSON
ejpam-6834	283	5	∈	ORG
ejpam-6834	284	1	3-superhyperfuzzy	QUANTITY
ejpam-6834	284	2	1	CARDINAL
ejpam-6834	285	1	⊆	CARDINAL
ejpam-6834	285	2	1	CARDINAL
ejpam-6834	286	1	0.80	CARDINAL
ejpam-6834	286	2	0.90	CARDINAL
ejpam-6834	286	3	0.85	CARDINAL
ejpam-6834	287	1	0.60	CARDINAL
ejpam-6834	287	2	0.70	CARDINAL
ejpam-6834	287	3	0.65	CARDINAL
ejpam-6834	287	4	0.68	CARDINAL
ejpam-6834	288	1	1	CARDINAL
ejpam-6834	289	1	third	ORDINAL
ejpam-6834	290	1	2.3	CARDINAL
ejpam-6834	290	2	neutrosophic	ORG
ejpam-6834	290	3	three	CARDINAL
ejpam-6834	291	1	0 ≤	MONEY
ejpam-6834	292	1	62	CARDINAL
ejpam-6834	292	2	63	DATE
ejpam-6834	293	1	64	CARDINAL
ejpam-6834	294	1	13	CARDINAL
ejpam-6834	295	1	10	CARDINAL
ejpam-6834	296	1	three	CARDINAL
ejpam-6834	297	1	0	CARDINAL
ejpam-6834	297	2	1	CARDINAL
ejpam-6834	297	3	ia	GPE
ejpam-6834	298	1	0	CARDINAL
ejpam-6834	298	2	1	CARDINAL
ejpam-6834	299	1	0	CARDINAL
ejpam-6834	299	2	1	CARDINAL
ejpam-6834	300	1	0 ≤	MONEY
ejpam-6834	301	1	14	CARDINAL
ejpam-6834	302	1	1	CARDINAL
ejpam-6834	302	2	2	CARDINAL
ejpam-6834	303	1	0	CARDINAL
ejpam-6834	303	2	1]3	CARDINAL
ejpam-6834	303	3	p̃	ORG
ejpam-6834	303	4	0	CARDINAL
ejpam-6834	303	5	1]3	CARDINAL
ejpam-6834	303	6	0	CARDINAL
ejpam-6834	303	7	1]3	CARDINAL
ejpam-6834	304	1	⊆	CARDINAL
ejpam-6834	304	2	0	CARDINAL
ejpam-6834	304	3	1]3	CARDINAL
ejpam-6834	304	4	0 ≤	MONEY
ejpam-6834	306	1	t. fujita	PERSON
ejpam-6834	307	1	j. pure	PERSON
ejpam-6834	307	2	18	CARDINAL
ejpam-6834	307	3	4	CARDINAL
ejpam-6834	307	4	2025	CARDINAL
ejpam-6834	307	5	6834 15	DATE
ejpam-6834	307	6	69	CARDINAL
ejpam-6834	308	1	masahiro	PERSON
ejpam-6834	309	1	0	CARDINAL
ejpam-6834	309	2	1]3	CARDINAL
ejpam-6834	310	1	⊆	CARDINAL
ejpam-6834	311	1	0	CARDINAL
ejpam-6834	311	2	1]3	CARDINAL
ejpam-6834	312	1	0.85	CARDINAL
ejpam-6834	312	2	0.10	CARDINAL
ejpam-6834	312	3	0.05	CARDINAL
ejpam-6834	312	4	0.80	CARDINAL
ejpam-6834	312	5	0.15	CARDINAL
ejpam-6834	312	6	0.05	CARDINAL
ejpam-6834	312	7	0.60	CARDINAL
ejpam-6834	312	8	0.20	CARDINAL
ejpam-6834	312	9	0.20	CARDINAL
ejpam-6834	312	10	0.65	CARDINAL
ejpam-6834	312	11	0.25	CARDINAL
ejpam-6834	312	12	0.10	CARDINAL
ejpam-6834	313	1	0 ≤	MONEY
ejpam-6834	315	1	two	CARDINAL
ejpam-6834	315	2	two	CARDINAL
ejpam-6834	315	3	two	CARDINAL
ejpam-6834	316	1	15	CARDINAL
ejpam-6834	317	1	1	CARDINAL
ejpam-6834	317	2	2	CARDINAL
ejpam-6834	320	1	1]3	CARDINAL
ejpam-6834	320	2	•	CARDINAL
ejpam-6834	320	3	k ≥ 2	ORG
ejpam-6834	320	4	x. • p̃n([0	EVENT
ejpam-6834	320	5	1]3	CARDINAL
ejpam-6834	321	1	0	CARDINAL
ejpam-6834	321	2	1]3	CARDINAL
ejpam-6834	322	1	•	CARDINAL
ejpam-6834	322	2	∈	ORG
ejpam-6834	323	1	⊆	CARDINAL
ejpam-6834	323	2	0	CARDINAL
ejpam-6834	323	3	1]3	CARDINAL
ejpam-6834	323	4	x.	GPE
ejpam-6834	323	5	∈	ORG
ejpam-6834	323	6	0 ≤	CARDINAL
ejpam-6834	325	1	10	CARDINAL
ejpam-6834	326	1	t. fujita	ORG
ejpam-6834	327	1	j. pure	PERSON
ejpam-6834	327	2	18	CARDINAL
ejpam-6834	327	3	4	CARDINAL
ejpam-6834	327	4	2025	CARDINAL
ejpam-6834	327	5	6834 16	DATE
ejpam-6834	327	6	two	CARDINAL
ejpam-6834	328	1	2	CARDINAL
ejpam-6834	330	1	x.	GPE
ejpam-6834	331	1	2	CARDINAL
ejpam-6834	331	2	0	CARDINAL
ejpam-6834	331	3	1]3	CARDINAL
ejpam-6834	333	1	0.85	CARDINAL
ejpam-6834	333	2	0.10	CARDINAL
ejpam-6834	333	3	0.05	CARDINAL
ejpam-6834	333	4	0.80	CARDINAL
ejpam-6834	333	5	0.15	CARDINAL
ejpam-6834	333	6	0.05	CARDINAL
ejpam-6834	333	7	0.70	CARDINAL
ejpam-6834	333	8	0.20	CARDINAL
ejpam-6834	333	9	0.10	CARDINAL
ejpam-6834	334	1	•	CARDINAL
ejpam-6834	334	2	first	ORDINAL
ejpam-6834	334	3	0.85	CARDINAL
ejpam-6834	334	4	0.10	CARDINAL
ejpam-6834	334	5	0.05	CARDINAL
ejpam-6834	334	6	0.80	CARDINAL
ejpam-6834	334	7	0.15	CARDINAL
ejpam-6834	334	8	0.05	CARDINAL
ejpam-6834	334	9	two	CARDINAL
ejpam-6834	334	10	0 ≤	MONEY
ejpam-6834	336	1	•	CARDINAL
ejpam-6834	336	2	second	ORDINAL
ejpam-6834	336	3	0.70	CARDINAL
ejpam-6834	336	4	0.20	CARDINAL
ejpam-6834	336	5	0.10	CARDINAL
ejpam-6834	337	1	second	ORDINAL
ejpam-6834	338	1	2.4	CARDINAL
ejpam-6834	338	2	plithogenic	ORG
ejpam-6834	339	1	65	CARDINAL
ejpam-6834	339	2	66	CARDINAL
ejpam-6834	341	1	16	CARDINAL
ejpam-6834	342	1	15	CARDINAL
ejpam-6834	342	2	⊆	CARDINAL
ejpam-6834	342	3	pdf	ORG
ejpam-6834	342	4	pcf	ORG
ejpam-6834	342	5	•	CARDINAL
ejpam-6834	344	1	v. t. fujita	PERSON
ejpam-6834	345	1	j. pure	PERSON
ejpam-6834	345	2	18	CARDINAL
ejpam-6834	345	3	4	CARDINAL
ejpam-6834	345	4	2025	CARDINAL
ejpam-6834	345	5	6834 17	DATE
ejpam-6834	346	1	0	CARDINAL
ejpam-6834	346	2	1]s	CARDINAL
ejpam-6834	347	1	•	CARDINAL
ejpam-6834	347	2	pcf	ORG
ejpam-6834	347	3	0	CARDINAL
ejpam-6834	347	4	1]t	DATE
ejpam-6834	348	1	pcf	ORG
ejpam-6834	348	2	pcf	ORG
ejpam-6834	349	1	11	CARDINAL
ejpam-6834	349	2	english	LANGUAGE
ejpam-6834	350	1	masahiro	PERSON
ejpam-6834	350	2	shinya	PERSON
ejpam-6834	350	3	english	LANGUAGE
ejpam-6834	351	1	pdf	ORG
ejpam-6834	351	2	pcf	ORG
ejpam-6834	351	3	•	CARDINAL
ejpam-6834	351	4	english	LANGUAGE
ejpam-6834	353	1	•	CARDINAL
ejpam-6834	354	1	0	CARDINAL
ejpam-6834	354	2	1]3	CARDINAL
ejpam-6834	355	1	pdf	ORG
ejpam-6834	355	2	0.10	CARDINAL
ejpam-6834	355	3	0.20	CARDINAL
ejpam-6834	355	4	0.10	CARDINAL
ejpam-6834	355	5	pdf	ORG
ejpam-6834	355	6	0.60	CARDINAL
ejpam-6834	355	7	0.70	CARDINAL
ejpam-6834	355	8	0.50	CARDINAL
ejpam-6834	355	9	pdf	ORG
ejpam-6834	355	10	0.80	CARDINAL
ejpam-6834	355	11	0.90	CARDINAL
ejpam-6834	355	12	0.70	CARDINAL
ejpam-6834	356	1	•	CARDINAL
ejpam-6834	356	2	pcf	ORG
ejpam-6834	357	1	0	CARDINAL
ejpam-6834	357	2	1	CARDINAL
ejpam-6834	357	3	two	CARDINAL
ejpam-6834	358	1	pcf	ORG
ejpam-6834	358	2	0	CARDINAL
ejpam-6834	358	3	pcf	ORG
ejpam-6834	358	4	1	CARDINAL
ejpam-6834	358	5	pcf	ORG
ejpam-6834	358	6	0.5	CARDINAL
ejpam-6834	358	7	pcf	ORG
ejpam-6834	359	1	two	CARDINAL
ejpam-6834	360	1	t. fujita	PERSON
ejpam-6834	361	1	j. pure	PERSON
ejpam-6834	361	2	18	CARDINAL
ejpam-6834	361	3	4	CARDINAL
ejpam-6834	361	4	2025	CARDINAL
ejpam-6834	361	5	6834 18	DATE
ejpam-6834	362	1	below[46	GPE
ejpam-6834	362	2	67	CARDINAL
ejpam-6834	363	1	17	CARDINAL
ejpam-6834	364	1	1	CARDINAL
ejpam-6834	364	2	46	DATE
ejpam-6834	365	1	hps	ORG
ejpam-6834	365	2	hps	ORG
ejpam-6834	365	3	vi}ni=1	GPE
ejpam-6834	365	4	pcf	ORG
ejpam-6834	366	1	•	CARDINAL
ejpam-6834	366	2	⊆	CARDINAL
ejpam-6834	367	1	vi	PERSON
ejpam-6834	369	1	0	CARDINAL
ejpam-6834	369	2	1]s	CARDINAL
ejpam-6834	369	3	∈	ORG
ejpam-6834	370	1	pcf	ORG
ejpam-6834	370	2	⋃n i=1 pvi	PERSON
ejpam-6834	370	3	⋃n i=1 pvi	PERSON
ejpam-6834	371	1	0	CARDINAL
ejpam-6834	371	2	1]t	DATE
ejpam-6834	372	1	12	CARDINAL
ejpam-6834	373	1	two	CARDINAL
ejpam-6834	374	1	1	CARDINAL
ejpam-6834	374	2	1]s	CARDINAL
ejpam-6834	375	1	1	CARDINAL
ejpam-6834	376	1	0.2	CARDINAL
ejpam-6834	376	2	0.3	CARDINAL
ejpam-6834	376	3	0.6	CARDINAL
ejpam-6834	376	4	0.7	CARDINAL
ejpam-6834	377	1	0.4	CARDINAL
ejpam-6834	377	2	0.5	CARDINAL
ejpam-6834	377	3	0.3	CARDINAL
ejpam-6834	377	4	0.4	CARDINAL
ejpam-6834	377	5	0.5	CARDINAL
ejpam-6834	377	6	0.6	CARDINAL
ejpam-6834	377	7	0.7	CARDINAL
ejpam-6834	377	8	0.8	CARDINAL
ejpam-6834	377	9	0.1	CARDINAL
ejpam-6834	377	10	0.2	CARDINAL
ejpam-6834	377	11	˜pdf1(c	CARDINAL
ejpam-6834	377	12	0.4	CARDINAL
ejpam-6834	377	13	0.5	CARDINAL
ejpam-6834	377	14	˜pdf1(c	CARDINAL
ejpam-6834	377	15	0.6	CARDINAL
ejpam-6834	377	16	0.7	CARDINAL
ejpam-6834	377	17	0.1	CARDINAL
ejpam-6834	377	18	0.2	CARDINAL
ejpam-6834	377	19	0.5	CARDINAL
ejpam-6834	377	20	0.6	CARDINAL
ejpam-6834	377	21	0.7	CARDINAL
ejpam-6834	377	22	0.8	CARDINAL
ejpam-6834	377	23	0.2	CARDINAL
ejpam-6834	377	24	0.3	CARDINAL
ejpam-6834	377	25	0.6	CARDINAL
ejpam-6834	377	26	0.7	CARDINAL
ejpam-6834	377	27	0.8	CARDINAL
ejpam-6834	377	28	0.9	CARDINAL
ejpam-6834	377	29	˜pdf2(c	PERSON
ejpam-6834	377	30	0.3	CARDINAL
ejpam-6834	377	31	0.4	CARDINAL
ejpam-6834	377	32	˜pdf2(c	PERSON
ejpam-6834	377	33	0.4	CARDINAL
ejpam-6834	377	34	0.5	CARDINAL
ejpam-6834	377	35	˜pdf2(c	PERSON
ejpam-6834	377	36	0.6	CARDINAL
ejpam-6834	377	37	0.7	CARDINAL
ejpam-6834	378	1	pcf	ORG
ejpam-6834	379	1	0	CARDINAL
ejpam-6834	379	2	1	CARDINAL
ejpam-6834	379	3	pcf	ORG
ejpam-6834	379	4	0.9	CARDINAL
ejpam-6834	379	5	pcf	ORG
ejpam-6834	379	6	0.8	CARDINAL
ejpam-6834	379	7	t. fujita	PERSON
ejpam-6834	380	1	j. pure	PERSON
ejpam-6834	380	2	18	CARDINAL
ejpam-6834	380	3	4	CARDINAL
ejpam-6834	380	4	2025	CARDINAL
ejpam-6834	380	5	6834 19	DATE
ejpam-6834	380	6	pcf	ORG
ejpam-6834	380	7	0	CARDINAL
ejpam-6834	380	8	pcf	ORG
ejpam-6834	381	1	hps	ORG
ejpam-6834	381	2	pcf	ORG
ejpam-6834	382	1	18	CARDINAL
ejpam-6834	383	1	1	CARDINAL
ejpam-6834	386	1	ni=1	GPE
ejpam-6834	386	2	pcf	ORG
ejpam-6834	386	3	•	CARDINAL
ejpam-6834	386	4	k ≥ 2	ORG
ejpam-6834	386	5	vi ∈	PERSON
ejpam-6834	386	6	1]s	CARDINAL
ejpam-6834	386	7	∈	ORG
ejpam-6834	386	8	0	CARDINAL
ejpam-6834	386	9	1]s	CARDINAL
ejpam-6834	386	10	•	CARDINAL
ejpam-6834	386	11	⋃n i=1 pvi ×	PERSON
ejpam-6834	386	12	⋃n i=1 pvi	PERSON
ejpam-6834	386	13	0	CARDINAL
ejpam-6834	386	14	1]t	DATE
ejpam-6834	386	15	pcf	ORG
ejpam-6834	386	16	n)(a	LOC
ejpam-6834	386	17	∈	ORG
ejpam-6834	386	18	⋃n i=1 pvi	PERSON
ejpam-6834	386	19	pcf	ORG
ejpam-6834	386	20	n)(a	LOC
ejpam-6834	386	21	pcf	ORG
ejpam-6834	386	22	⋃n i=1 pvi	PERSON
ejpam-6834	386	23	•	CARDINAL
ejpam-6834	386	24	13	CARDINAL
ejpam-6834	387	1	proj1	PERSON
ejpam-6834	387	2	2	CARDINAL
ejpam-6834	388	1	proj2	PERSON
ejpam-6834	389	1	two	CARDINAL
ejpam-6834	389	2	t. fujita	PERSON
ejpam-6834	390	1	j. pure	PERSON
ejpam-6834	390	2	18	CARDINAL
ejpam-6834	390	3	4	CARDINAL
ejpam-6834	390	4	2025	CARDINAL
ejpam-6834	390	5	6834 20	DATE
ejpam-6834	390	6	69 v2	QUANTITY
ejpam-6834	391	1	1	CARDINAL
ejpam-6834	391	2	1]s	CARDINAL
ejpam-6834	391	3	1	CARDINAL
ejpam-6834	392	1	2	CARDINAL
ejpam-6834	392	2	1	CARDINAL
ejpam-6834	392	3	2	CARDINAL
ejpam-6834	392	4	0.2	CARDINAL
ejpam-6834	392	5	0.3	CARDINAL
ejpam-6834	392	6	2	CARDINAL
ejpam-6834	392	7	0.7	CARDINAL
ejpam-6834	392	8	0.8	CARDINAL
ejpam-6834	392	9	2	CARDINAL
ejpam-6834	392	10	0.3	CARDINAL
ejpam-6834	392	11	0.4	CARDINAL
ejpam-6834	392	12	2	CARDINAL
ejpam-6834	392	13	0.6	CARDINAL
ejpam-6834	392	14	0.7	CARDINAL
ejpam-6834	392	15	2	CARDINAL
ejpam-6834	392	16	0.4	CARDINAL
ejpam-6834	392	17	0.5	CARDINAL
ejpam-6834	392	18	2	CARDINAL
ejpam-6834	392	19	0.8	CARDINAL
ejpam-6834	392	20	0.9	CARDINAL
ejpam-6834	392	21	2	CARDINAL
ejpam-6834	392	22	2	CARDINAL
ejpam-6834	393	1	0.5	CARDINAL
ejpam-6834	393	2	0.6	CARDINAL
ejpam-6834	393	3	2	CARDINAL
ejpam-6834	393	4	2	CARDINAL
ejpam-6834	393	5	0.7	CARDINAL
ejpam-6834	393	6	0.8	CARDINAL
ejpam-6834	393	7	2	CARDINAL
ejpam-6834	393	8	2	CARDINAL
ejpam-6834	393	9	0.4	CARDINAL
ejpam-6834	393	10	0.5	CARDINAL
ejpam-6834	393	11	2	CARDINAL
ejpam-6834	393	12	2	CARDINAL
ejpam-6834	393	13	0.6	CARDINAL
ejpam-6834	393	14	0.7	CARDINAL
ejpam-6834	393	15	2	CARDINAL
ejpam-6834	393	16	0.6	CARDINAL
ejpam-6834	393	17	0.7	CARDINAL
ejpam-6834	393	18	2	CARDINAL
ejpam-6834	393	19	2	CARDINAL
ejpam-6834	393	20	0.8	CARDINAL
ejpam-6834	393	21	0.9	CARDINAL
ejpam-6834	394	1	pcf	ORG
ejpam-6834	394	2	2	CARDINAL
ejpam-6834	394	3	0	CARDINAL
ejpam-6834	394	4	1	CARDINAL
ejpam-6834	394	5	pcf	ORG
ejpam-6834	394	6	2)(low	CARDINAL
ejpam-6834	394	7	0.9	CARDINAL
ejpam-6834	394	8	pcf	ORG
ejpam-6834	394	9	2)(cheap	CARDINAL
ejpam-6834	394	10	0.8	CARDINAL
ejpam-6834	394	11	pcf	ORG
ejpam-6834	394	12	2)(a	TIME
ejpam-6834	394	13	0	CARDINAL
ejpam-6834	394	14	2)(a	TIME
ejpam-6834	394	15	pcf	ORG
ejpam-6834	394	16	2)(b	CARDINAL
ejpam-6834	395	1	2	CARDINAL
ejpam-6834	395	2	shps2	PERSON
ejpam-6834	396	1	2	CARDINAL
ejpam-6834	396	2	2	CARDINAL
ejpam-6834	396	3	2	CARDINAL
ejpam-6834	396	4	pcf	ORG
ejpam-6834	396	5	2	CARDINAL
ejpam-6834	397	1	3	CARDINAL
ejpam-6834	398	1	3.1	CARDINAL
ejpam-6834	399	1	3.1.1	CARDINAL
ejpam-6834	400	1	0	CARDINAL
ejpam-6834	400	2	1	CARDINAL
ejpam-6834	402	1	19	DATE
ejpam-6834	403	1	⊆	CARDINAL
ejpam-6834	407	1	t. fujita	PERSON
ejpam-6834	408	1	j. pure	PERSON
ejpam-6834	408	2	18	CARDINAL
ejpam-6834	408	3	4	CARDINAL
ejpam-6834	408	4	2025	CARDINAL
ejpam-6834	408	5	6834 21	DATE
ejpam-6834	408	6	1	CARDINAL
ejpam-6834	409	1	1	CARDINAL
ejpam-6834	409	2	∈	ORG
ejpam-6834	409	3	τ(x	ORG
ejpam-6834	410	1	⊆	CARDINAL
ejpam-6834	410	2	0	CARDINAL
ejpam-6834	410	3	1	CARDINAL
ejpam-6834	411	1	0	CARDINAL
ejpam-6834	411	2	1	CARDINAL
ejpam-6834	412	1	14	CARDINAL
ejpam-6834	413	1	masahiro	PERSON
ejpam-6834	413	2	shinya	PERSON
ejpam-6834	414	1	1	CARDINAL
ejpam-6834	416	1	masahiro	PERSON
ejpam-6834	416	2	shinya	PERSON
ejpam-6834	416	3	1	CARDINAL
ejpam-6834	416	4	1	CARDINAL
ejpam-6834	417	1	masahiro	PERSON
ejpam-6834	419	1	0.75	CARDINAL
ejpam-6834	419	2	0.85	CARDINAL
ejpam-6834	419	3	0.60	CARDINAL
ejpam-6834	419	4	0.65	CARDINAL
ejpam-6834	419	5	0	CARDINAL
ejpam-6834	421	1	15	CARDINAL
ejpam-6834	421	2	1	CARDINAL
ejpam-6834	423	1	1	CARDINAL
ejpam-6834	424	1	1	CARDINAL
ejpam-6834	424	2	1	CARDINAL
ejpam-6834	424	3	⊆	CARDINAL
ejpam-6834	424	4	τ(x	ORG
ejpam-6834	424	5	⊆	CARDINAL
ejpam-6834	425	1	0	CARDINAL
ejpam-6834	425	2	1	CARDINAL
ejpam-6834	426	1	0	CARDINAL
ejpam-6834	428	1	0.60	CARDINAL
ejpam-6834	428	2	0.80	CARDINAL
ejpam-6834	430	1	0.50	CARDINAL
ejpam-6834	430	2	0.70	CARDINAL
ejpam-6834	432	1	0.40	CARDINAL
ejpam-6834	432	2	0.60	CARDINAL
ejpam-6834	434	1	0.55	CARDINAL
ejpam-6834	434	2	0.75	CARDINAL
ejpam-6834	436	1	0.45	CARDINAL
ejpam-6834	436	2	0.65	CARDINAL
ejpam-6834	438	1	0.40	CARDINAL
ejpam-6834	438	2	0.60	CARDINAL
ejpam-6834	440	1	0.35	CARDINAL
ejpam-6834	440	2	0.55	CARDINAL
ejpam-6834	441	1	0	CARDINAL
ejpam-6834	441	2	1	CARDINAL
ejpam-6834	441	3	1	CARDINAL
ejpam-6834	443	1	1	CARDINAL
ejpam-6834	444	1	1	CARDINAL
ejpam-6834	444	2	t. fujita	PERSON
ejpam-6834	445	1	j. pure	PERSON
ejpam-6834	445	2	18	CARDINAL
ejpam-6834	445	3	4	CARDINAL
ejpam-6834	445	4	2025	CARDINAL
ejpam-6834	445	5	6834 22	DATE
ejpam-6834	448	1	ιr→s	NORP
ejpam-6834	453	1	1	CARDINAL
ejpam-6834	453	2	us→(s−1	ORG
ejpam-6834	455	1	0	CARDINAL
ejpam-6834	455	2	1	CARDINAL
ejpam-6834	455	3	nonempty	ORG
ejpam-6834	456	1	1	CARDINAL
ejpam-6834	458	1	1	CARDINAL
ejpam-6834	458	2	1	CARDINAL
ejpam-6834	458	3	1	CARDINAL
ejpam-6834	459	1	τ(a	PERSON
ejpam-6834	459	2	1	CARDINAL
ejpam-6834	461	1	codomain p n([0	ORG
ejpam-6834	461	2	1	CARDINAL
ejpam-6834	462	1	p(x	PERSON
ejpam-6834	463	1	t ≥ 1	DATE
ejpam-6834	464	1	p(x	PERSON
ejpam-6834	464	2	1	CARDINAL
ejpam-6834	464	3	1	CARDINAL
ejpam-6834	466	1	τ(a	PERSON
ejpam-6834	467	1	1	CARDINAL
ejpam-6834	467	2	2	CARDINAL
ejpam-6834	469	1	1	CARDINAL
ejpam-6834	469	2	0 ≤	MONEY
ejpam-6834	471	1	1	CARDINAL
ejpam-6834	472	1	t. fujita	PERSON
ejpam-6834	473	1	j. pure	PERSON
ejpam-6834	473	2	18	CARDINAL
ejpam-6834	473	3	4	CARDINAL
ejpam-6834	473	4	2025	CARDINAL
ejpam-6834	473	5	6834 23	DATE
ejpam-6834	476	1	1	CARDINAL
ejpam-6834	479	1	3	CARDINAL
ejpam-6834	481	1	1	CARDINAL
ejpam-6834	481	2	0 ≤	QUANTITY
ejpam-6834	482	1	1	CARDINAL
ejpam-6834	483	1	0	CARDINAL
ejpam-6834	483	2	1	CARDINAL
ejpam-6834	487	1	0	CARDINAL
ejpam-6834	487	2	1	CARDINAL
ejpam-6834	490	1	τ(x	ORG
ejpam-6834	490	2	1	CARDINAL
ejpam-6834	490	3	τ(x	ORG
ejpam-6834	490	4	1	CARDINAL
ejpam-6834	495	1	0	CARDINAL
ejpam-6834	495	2	1	CARDINAL
ejpam-6834	496	1	τ ′′	PERSON
ejpam-6834	496	2	0	CARDINAL
ejpam-6834	496	3	1	CARDINAL
ejpam-6834	497	1	4	CARDINAL
ejpam-6834	499	1	1	CARDINAL
ejpam-6834	502	1	1	CARDINAL
ejpam-6834	502	2	1	CARDINAL
ejpam-6834	503	1	1	CARDINAL
ejpam-6834	504	1	∈ p n([0	ORG
ejpam-6834	504	2	1	CARDINAL
ejpam-6834	505	1	5	CARDINAL
ejpam-6834	507	1	1	CARDINAL
ejpam-6834	508	1	∩	PERSON
ejpam-6834	511	1	nonempty	ORG
ejpam-6834	511	2	⊓	ORG
ejpam-6834	513	1	t. fujita	PERSON
ejpam-6834	514	1	j. pure	PERSON
ejpam-6834	514	2	18	CARDINAL
ejpam-6834	514	3	4	CARDINAL
ejpam-6834	514	4	2025	CARDINAL
ejpam-6834	514	5	6834 24	DATE
ejpam-6834	515	1	x.	EVENT
ejpam-6834	515	2	1	CARDINAL
ejpam-6834	516	1	1	CARDINAL
ejpam-6834	516	2	2	CARDINAL
ejpam-6834	516	3	1	CARDINAL
ejpam-6834	517	1	1	CARDINAL
ejpam-6834	518	1	two	CARDINAL
ejpam-6834	518	2	1	CARDINAL
ejpam-6834	519	1	6	CARDINAL
ejpam-6834	521	1	1	CARDINAL
ejpam-6834	521	2	n ≥ 1	ORG
ejpam-6834	523	1	0	CARDINAL
ejpam-6834	523	2	1	CARDINAL
ejpam-6834	523	3	∃t ∈ un→1 ( τ(x	ORG
ejpam-6834	527	1	∈	ORG
ejpam-6834	529	1	⊆	CARDINAL
ejpam-6834	529	2	0	CARDINAL
ejpam-6834	529	3	1	CARDINAL
ejpam-6834	530	1	∈	ORG
ejpam-6834	531	1	⊆	CARDINAL
ejpam-6834	532	1	7	CARDINAL
ejpam-6834	534	1	1	CARDINAL
ejpam-6834	535	1	1	CARDINAL
ejpam-6834	535	2	1	CARDINAL
ejpam-6834	536	1	∈	PERSON
ejpam-6834	536	2	t ≥ 1	DATE
ejpam-6834	536	3	f−1	CARDINAL
ejpam-6834	540	1	1	CARDINAL
ejpam-6834	545	1	∈ p	ORG
ejpam-6834	545	2	1	CARDINAL
ejpam-6834	548	1	0	CARDINAL
ejpam-6834	548	2	1]3	CARDINAL
ejpam-6834	549	1	t. fujita	PERSON
ejpam-6834	550	1	j. pure	PERSON
ejpam-6834	550	2	18	CARDINAL
ejpam-6834	550	3	4	CARDINAL
ejpam-6834	550	4	2025	CARDINAL
ejpam-6834	550	5	6834 25	DATE
ejpam-6834	551	1	⊆	CARDINAL
ejpam-6834	552	1	n ∈ n	ORG
ejpam-6834	552	2	0	CARDINAL
ejpam-6834	556	1	1]3	CARDINAL
ejpam-6834	557	1	0	CARDINAL
ejpam-6834	557	2	1]3	CARDINAL
ejpam-6834	557	3	1	CARDINAL
ejpam-6834	557	4	0 ≤	MONEY
ejpam-6834	560	1	⊆	CARDINAL
ejpam-6834	560	2	0	CARDINAL
ejpam-6834	560	3	1]3	CARDINAL
ejpam-6834	560	4	1	CARDINAL
ejpam-6834	560	5	2	CARDINAL
ejpam-6834	561	1	1	CARDINAL
ejpam-6834	564	1	us→(s−1)(y	PERSON
ejpam-6834	566	1	us→(s−1	ORG
ejpam-6834	567	1	16	CARDINAL
ejpam-6834	568	1	1	CARDINAL
ejpam-6834	568	2	1(a	CARDINAL
ejpam-6834	569	1	1([0	ORDINAL
ejpam-6834	569	2	1]3	CARDINAL
ejpam-6834	569	3	1]3	CARDINAL
ejpam-6834	570	1	two	CARDINAL
ejpam-6834	572	1	0.80	CARDINAL
ejpam-6834	572	2	0.15	CARDINAL
ejpam-6834	572	3	0.05	CARDINAL
ejpam-6834	572	4	0.75	CARDINAL
ejpam-6834	572	5	0.20	CARDINAL
ejpam-6834	572	6	0.05	CARDINAL
ejpam-6834	572	7	0.60	CARDINAL
ejpam-6834	572	8	0.25	CARDINAL
ejpam-6834	572	9	0.15	CARDINAL
ejpam-6834	572	10	0.50	CARDINAL
ejpam-6834	572	11	0.30	CARDINAL
ejpam-6834	572	12	0.20	CARDINAL
ejpam-6834	572	13	0	CARDINAL
ejpam-6834	572	14	0	DATE
ejpam-6834	572	15	0	DATE
ejpam-6834	573	1	0 ≤	MONEY
ejpam-6834	574	1	1	CARDINAL
ejpam-6834	575	1	17	CARDINAL
ejpam-6834	576	1	1	CARDINAL
ejpam-6834	576	2	2	CARDINAL
ejpam-6834	576	3	p(a	NORP
ejpam-6834	576	4	1]3	CARDINAL
ejpam-6834	576	5	0.85	CARDINAL
ejpam-6834	576	6	0.10	CARDINAL
ejpam-6834	576	7	0.05	CARDINAL
ejpam-6834	576	8	0.80	CARDINAL
ejpam-6834	576	9	0.15	CARDINAL
ejpam-6834	576	10	0.05	CARDINAL
ejpam-6834	576	11	0.60	CARDINAL
ejpam-6834	576	12	0.25	CARDINAL
ejpam-6834	576	13	0.15	CARDINAL
ejpam-6834	578	1	0.85	CARDINAL
ejpam-6834	578	2	0.10	CARDINAL
ejpam-6834	578	3	0.05	CARDINAL
ejpam-6834	578	4	0.80	CARDINAL
ejpam-6834	578	5	0.15	CARDINAL
ejpam-6834	578	6	0.05	CARDINAL
ejpam-6834	578	7	0.60	CARDINAL
ejpam-6834	578	8	0.25	CARDINAL
ejpam-6834	578	9	0.15	CARDINAL
ejpam-6834	579	1	t. fujita	PERSON
ejpam-6834	580	1	j. pure	PERSON
ejpam-6834	580	2	18	CARDINAL
ejpam-6834	580	3	4	CARDINAL
ejpam-6834	580	4	2025	CARDINAL
ejpam-6834	580	5	6834 26	DATE
ejpam-6834	580	6	69	CARDINAL
ejpam-6834	581	1	1]3	CARDINAL
ejpam-6834	581	2	1	CARDINAL
ejpam-6834	583	1	1]3	CARDINAL
ejpam-6834	584	1	p(x	PERSON
ejpam-6834	585	1	µ(a	PERSON
ejpam-6834	587	1	a′	ORG
ejpam-6834	588	1	µ(a	PERSON
ejpam-6834	589	1	1, n)-superhyperneutrosophic	TIME
ejpam-6834	589	2	1	CARDINAL
ejpam-6834	590	1	9	CARDINAL
ejpam-6834	592	1	1]3	CARDINAL
ejpam-6834	593	1	0 ≤	MONEY
ejpam-6834	594	1	1]3	CARDINAL
ejpam-6834	598	1	1]3	CARDINAL
ejpam-6834	598	2	1	CARDINAL
ejpam-6834	601	1	10	CARDINAL
ejpam-6834	603	1	1]3	CARDINAL
ejpam-6834	606	1	0	CARDINAL
ejpam-6834	606	2	1]3	CARDINAL
ejpam-6834	606	3	0	CARDINAL
ejpam-6834	606	4	1	CARDINAL
ejpam-6834	606	5	1]3	CARDINAL
ejpam-6834	606	6	1	CARDINAL
ejpam-6834	608	1	1	CARDINAL
ejpam-6834	610	1	1	CARDINAL
ejpam-6834	611	1	⊆	CARDINAL
ejpam-6834	611	2	0	CARDINAL
ejpam-6834	611	3	1]3	CARDINAL
ejpam-6834	611	4	nonempty	ORG
ejpam-6834	613	1	⊆	CARDINAL
ejpam-6834	613	2	0	CARDINAL
ejpam-6834	613	3	1	CARDINAL
ejpam-6834	614	1	τ(x	ORG
ejpam-6834	616	1	1	CARDINAL
ejpam-6834	617	1	τ	PERSON
ejpam-6834	618	1	11	CARDINAL
ejpam-6834	620	1	1]3	CARDINAL
ejpam-6834	622	1	t. fujita	PERSON
ejpam-6834	623	1	j. pure	PERSON
ejpam-6834	623	2	18	CARDINAL
ejpam-6834	623	3	4	CARDINAL
ejpam-6834	623	4	2025	CARDINAL
ejpam-6834	623	5	6834 27	DATE
ejpam-6834	624	1	1]3	CARDINAL
ejpam-6834	625	1	1]3	CARDINAL
ejpam-6834	628	1	12	CARDINAL
ejpam-6834	633	1	1]3	CARDINAL
ejpam-6834	633	2	1]3	CARDINAL
ejpam-6834	635	1	13	CARDINAL
ejpam-6834	637	1	1]3	CARDINAL
ejpam-6834	640	1	0	CARDINAL
ejpam-6834	640	2	1]3	CARDINAL
ejpam-6834	643	1	α′, β′, γ′	DATE
ejpam-6834	643	2	⊆	CARDINAL
ejpam-6834	645	1	∈	ORG
ejpam-6834	646	1	f ≤ γ′.	PRODUCT
ejpam-6834	646	2	α′ ≥ α	DATE
ejpam-6834	646	3	γ′ ≤ γ	ORG
ejpam-6834	646	4	∈	ORG
ejpam-6834	647	1	⊆	CARDINAL
ejpam-6834	648	1	14	DATE
ejpam-6834	650	1	0	CARDINAL
ejpam-6834	650	2	1]3	CARDINAL
ejpam-6834	651	1	1	CARDINAL
ejpam-6834	651	2	1	CARDINAL
ejpam-6834	651	3	1	CARDINAL
ejpam-6834	652	1	∈	ORG
ejpam-6834	653	1	f−1	CARDINAL
ejpam-6834	653	2	t ≥ 1	DATE
ejpam-6834	654	1	f∗µ	ORG
ejpam-6834	654	2	1]3	CARDINAL
ejpam-6834	657	1	∈ p n([0	ORG
ejpam-6834	657	2	1]3	CARDINAL
ejpam-6834	659	1	f∗µ	ORG
ejpam-6834	660	1	t. fujita	PERSON
ejpam-6834	661	1	j. pure	PERSON
ejpam-6834	661	2	18	CARDINAL
ejpam-6834	661	3	4	CARDINAL
ejpam-6834	661	4	2025	CARDINAL
ejpam-6834	661	5	6834 28	DATE
ejpam-6834	661	6	69 3.1.3	CARDINAL
ejpam-6834	664	1	21	DATE
ejpam-6834	672	1	1	CARDINAL
ejpam-6834	672	2	0	CARDINAL
ejpam-6834	672	3	1]s	CARDINAL
ejpam-6834	674	1	pcf	ORG
ejpam-6834	674	2	m. (ii	PERSON
ejpam-6834	676	1	0	CARDINAL
ejpam-6834	676	2	1]s	CARDINAL
ejpam-6834	676	3	∈	PRODUCT
ejpam-6834	676	4	∈	ORG
ejpam-6834	676	5	⊆	CARDINAL
ejpam-6834	676	6	0	CARDINAL
ejpam-6834	676	7	1]s	CARDINAL
ejpam-6834	676	8	dimension s.	PERSON
ejpam-6834	676	9	pcf	ORG
ejpam-6834	676	10	⋃	DATE
ejpam-6834	676	11	⋃	DATE
ejpam-6834	678	1	0	CARDINAL
ejpam-6834	678	2	1]t	CARDINAL
ejpam-6834	678	3	n)(a	GPE
ejpam-6834	679	1	pcf	ORG
ejpam-6834	679	2	n)(a	GPE
ejpam-6834	680	1	18	CARDINAL
ejpam-6834	680	2	1	CARDINAL
ejpam-6834	683	1	1	CARDINAL
ejpam-6834	683	2	p(x	PERSON
ejpam-6834	683	3	1	CARDINAL
ejpam-6834	684	1	1	CARDINAL
ejpam-6834	685	1	t. fujita	PERSON
ejpam-6834	686	1	j. pure	PERSON
ejpam-6834	686	2	18	CARDINAL
ejpam-6834	686	3	4	CARDINAL
ejpam-6834	686	4	2025	CARDINAL
ejpam-6834	686	5	6834 29	DATE
ejpam-6834	686	6	69	DATE
ejpam-6834	686	7	1,1	CARDINAL
ejpam-6834	686	8	p(x	PERSON
ejpam-6834	686	9	1	CARDINAL
ejpam-6834	686	10	1,1	CARDINAL
ejpam-6834	687	1	0.7	CARDINAL
ejpam-6834	687	2	0.8	CARDINAL
ejpam-6834	687	3	1,1	CARDINAL
ejpam-6834	687	4	0.5	CARDINAL
ejpam-6834	687	5	0.6	CARDINAL
ejpam-6834	687	6	1,1	CARDINAL
ejpam-6834	688	1	0.3	CARDINAL
ejpam-6834	688	2	0.4	CARDINAL
ejpam-6834	688	3	1,1	CARDINAL
ejpam-6834	688	4	0	CARDINAL
ejpam-6834	689	1	pcf	ORG
ejpam-6834	689	2	1,1	CARDINAL
ejpam-6834	690	1	0	CARDINAL
ejpam-6834	690	2	1	CARDINAL
ejpam-6834	690	3	pcf	ORG
ejpam-6834	690	4	0	CARDINAL
ejpam-6834	690	5	pcf	ORG
ejpam-6834	690	6	1,1)(p1	ORDINAL
ejpam-6834	690	7	0.2	CARDINAL
ejpam-6834	690	8	pcf	ORG
ejpam-6834	690	9	1,1)(p2	CARDINAL
ejpam-6834	690	10	0	CARDINAL
ejpam-6834	690	11	pcf	ORG
ejpam-6834	690	12	0.2	CARDINAL
ejpam-6834	691	1	p(x	PERSON
ejpam-6834	691	2	1,1	CARDINAL
ejpam-6834	691	3	pcf	ORG
ejpam-6834	691	4	1,1	CARDINAL
ejpam-6834	691	5	1	CARDINAL
ejpam-6834	692	1	19	CARDINAL
ejpam-6834	693	1	masahiro	PERSON
ejpam-6834	693	2	shinya	PERSON
ejpam-6834	693	3	dave}	PERSON
ejpam-6834	693	4	1	CARDINAL
ejpam-6834	693	5	p(x	PERSON
ejpam-6834	694	1	two	CARDINAL
ejpam-6834	695	1	two	CARDINAL
ejpam-6834	695	2	2	CARDINAL
ejpam-6834	695	3	1	CARDINAL
ejpam-6834	695	4	p(x	PERSON
ejpam-6834	695	5	0	CARDINAL
ejpam-6834	695	6	1]2	DATE
ejpam-6834	695	7	⊆	CARDINAL
ejpam-6834	695	8	∈	ORG
ejpam-6834	695	9	0	CARDINAL
ejpam-6834	695	10	1]2	DATE
ejpam-6834	696	1	masahiro	PERSON
ejpam-6834	696	2	1,1	CARDINAL
ejpam-6834	696	3	0.90	CARDINAL
ejpam-6834	696	4	0.85	CARDINAL
ejpam-6834	696	5	0.88	CARDINAL
ejpam-6834	696	6	0.82	CARDINAL
ejpam-6834	696	7	1,1	CARDINAL
ejpam-6834	696	8	0.70	CARDINAL
ejpam-6834	696	9	0.75	CARDINAL
ejpam-6834	696	10	1,1	CARDINAL
ejpam-6834	696	11	0.80	CARDINAL
ejpam-6834	696	12	0.78	CARDINAL
ejpam-6834	696	13	0.82	CARDINAL
ejpam-6834	696	14	0.80	CARDINAL
ejpam-6834	696	15	1,1	CARDINAL
ejpam-6834	696	16	0.50	CARDINAL
ejpam-6834	696	17	0.55	CARDINAL
ejpam-6834	697	1	t. fujita	PERSON
ejpam-6834	698	1	j. pure	PERSON
ejpam-6834	698	2	18	CARDINAL
ejpam-6834	698	3	4	CARDINAL
ejpam-6834	698	4	2025	CARDINAL
ejpam-6834	698	5	6834 30	DATE
ejpam-6834	698	6	pcf	ORG
ejpam-6834	698	7	1,1	CARDINAL
ejpam-6834	700	1	0	CARDINAL
ejpam-6834	700	2	1	CARDINAL
ejpam-6834	700	3	pcf	ORG
ejpam-6834	700	4	1,1)(high	CARDINAL
ejpam-6834	700	5	1.0	CARDINAL
ejpam-6834	700	6	pcf	ORG
ejpam-6834	700	7	1,1)(high	CARDINAL
ejpam-6834	700	8	0.5	CARDINAL
ejpam-6834	700	9	pcf	ORG
ejpam-6834	700	10	1,1)(a	CARDINAL
ejpam-6834	700	11	0	CARDINAL
ejpam-6834	700	12	pcf	ORG
ejpam-6834	700	13	pcf	ORG
ejpam-6834	701	1	p(x	PERSON
ejpam-6834	701	2	1,1	CARDINAL
ejpam-6834	701	3	1,1	CARDINAL
ejpam-6834	701	4	pcf	ORG
ejpam-6834	701	5	1,1	CARDINAL
ejpam-6834	701	6	1	CARDINAL
ejpam-6834	701	7	20	CARDINAL
ejpam-6834	701	8	2	CARDINAL
ejpam-6834	701	9	2)-superhyperplithogenic	CARDINAL
ejpam-6834	702	1	2	CARDINAL
ejpam-6834	702	2	p(x	PERSON
ejpam-6834	704	1	two	CARDINAL
ejpam-6834	705	1	one	CARDINAL
ejpam-6834	705	2	1	CARDINAL
ejpam-6834	705	3	1	CARDINAL
ejpam-6834	706	1	2,2	CARDINAL
ejpam-6834	706	2	1	CARDINAL
ejpam-6834	706	3	2,2	CARDINAL
ejpam-6834	706	4	0.40	CARDINAL
ejpam-6834	706	5	0.50	CARDINAL
ejpam-6834	706	6	0.45	CARDINAL
ejpam-6834	706	7	0.55	CARDINAL
ejpam-6834	706	8	2,2	CARDINAL
ejpam-6834	707	1	0.55	CARDINAL
ejpam-6834	707	2	0.65	CARDINAL
ejpam-6834	707	3	2,2	CARDINAL
ejpam-6834	709	1	0.70	CARDINAL
ejpam-6834	709	2	0.80	CARDINAL
ejpam-6834	709	3	0.75	CARDINAL
ejpam-6834	709	4	t. fujita	PERSON
ejpam-6834	710	1	j. pure	PERSON
ejpam-6834	710	2	18	CARDINAL
ejpam-6834	710	3	4	CARDINAL
ejpam-6834	710	4	2025	CARDINAL
ejpam-6834	710	5	6834 31	DATE
ejpam-6834	710	6	2,2	CARDINAL
ejpam-6834	710	7	0.30	CARDINAL
ejpam-6834	710	8	0.40	CARDINAL
ejpam-6834	710	9	2,2	CARDINAL
ejpam-6834	710	10	0.60	CARDINAL
ejpam-6834	711	1	0.60	CARDINAL
ejpam-6834	711	2	0.70	CARDINAL
ejpam-6834	711	3	2,2	CARDINAL
ejpam-6834	712	1	0.80	CARDINAL
ejpam-6834	712	2	0.90	CARDINAL
ejpam-6834	712	3	0.85	CARDINAL
ejpam-6834	713	1	pcf	ORG
ejpam-6834	713	2	2,2	CARDINAL
ejpam-6834	714	1	0	CARDINAL
ejpam-6834	714	2	1	CARDINAL
ejpam-6834	714	3	pcf	ORG
ejpam-6834	714	4	2,2)(low	CARDINAL
ejpam-6834	714	5	1.0	CARDINAL
ejpam-6834	714	6	pcf	ORG
ejpam-6834	714	7	2,2)(low	CARDINAL
ejpam-6834	714	8	0.3	CARDINAL
ejpam-6834	714	9	pcf	ORG
ejpam-6834	714	10	2,2)(medium	CARDINAL
ejpam-6834	714	11	0.5	CARDINAL
ejpam-6834	714	12	pcf	ORG
ejpam-6834	714	13	2,2)(slow	CARDINAL
ejpam-6834	714	14	0.8	CARDINAL
ejpam-6834	714	15	pcf	ORG
ejpam-6834	714	16	2,2)(a	CARDINAL
ejpam-6834	714	17	0	CARDINAL
ejpam-6834	714	18	pcf	ORG
ejpam-6834	714	19	2,2)(a	CARDINAL
ejpam-6834	714	20	pcf	ORG
ejpam-6834	714	21	2,2)(b	CARDINAL
ejpam-6834	715	1	2,2	CARDINAL
ejpam-6834	715	2	2,2	CARDINAL
ejpam-6834	715	3	2,2	CARDINAL
ejpam-6834	715	4	pcf	ORG
ejpam-6834	715	5	2,2	CARDINAL
ejpam-6834	715	6	two	CARDINAL
ejpam-6834	715	7	15	CARDINAL
ejpam-6834	716	1	pcf	ORG
ejpam-6834	716	2	1	CARDINAL
ejpam-6834	718	1	p(x	PERSON
ejpam-6834	719	1	1	CARDINAL
ejpam-6834	720	1	two	CARDINAL
ejpam-6834	720	2	1	CARDINAL
ejpam-6834	720	3	16	DATE
ejpam-6834	721	1	pcf	ORG
ejpam-6834	721	2	0 ≤	MONEY
ejpam-6834	721	3	∈	ORG
ejpam-6834	722	1	∈	ORG
ejpam-6834	722	2	pcf	ORG
ejpam-6834	724	1	pcf	ORG
ejpam-6834	725	1	t. fujita	PERSON
ejpam-6834	726	1	j. pure	PERSON
ejpam-6834	726	2	18	CARDINAL
ejpam-6834	726	3	4	CARDINAL
ejpam-6834	726	4	2025	CARDINAL
ejpam-6834	726	5	6834 32	DATE
ejpam-6834	727	1	∈	ORG
ejpam-6834	727	2	∈	ORG
ejpam-6834	727	3	∈	ORG
ejpam-6834	728	1	∈ p m(x	ORG
ejpam-6834	728	2	1]s	CARDINAL
ejpam-6834	728	3	n)-definition	ORG
ejpam-6834	730	1	pcf	ORG
ejpam-6834	731	1	17	CARDINAL
ejpam-6834	732	1	0 ≤	QUANTITY
ejpam-6834	732	2	∈	ORG
ejpam-6834	733	1	0	CARDINAL
ejpam-6834	733	2	1]s	CARDINAL
ejpam-6834	733	3	pcf	ORG
ejpam-6834	735	1	pcf	ORG
ejpam-6834	737	1	a.	PERSON
ejpam-6834	737	2	1]s	CARDINAL
ejpam-6834	737	3	1]s	CARDINAL
ejpam-6834	738	1	0	CARDINAL
ejpam-6834	738	2	1]s	CARDINAL
ejpam-6834	739	1	18	DATE
ejpam-6834	740	1	1	CARDINAL
ejpam-6834	740	2	2	CARDINAL
ejpam-6834	740	3	pcf	ORG
ejpam-6834	741	1	∈	ORG
ejpam-6834	742	1	pcf	ORG
ejpam-6834	744	1	1]s	CARDINAL
ejpam-6834	745	1	1]s	CARDINAL
ejpam-6834	745	2	1]s	CARDINAL
ejpam-6834	746	1	pcf	ORG
ejpam-6834	747	1	19	CARDINAL
ejpam-6834	748	1	∈	ORG
ejpam-6834	751	1	0	CARDINAL
ejpam-6834	751	2	1]s	CARDINAL
ejpam-6834	751	3	cv	ORG
ejpam-6834	751	4	∣∣∣	CARDINAL
ejpam-6834	752	1	0	CARDINAL
ejpam-6834	752	2	1]s	CARDINAL
ejpam-6834	752	3	cv	ORG
ejpam-6834	753	1	t. fujita	PERSON
ejpam-6834	754	1	j. pure	PERSON
ejpam-6834	754	2	18	CARDINAL
ejpam-6834	754	3	4	CARDINAL
ejpam-6834	754	4	2025	CARDINAL
ejpam-6834	754	5	6834 33	DATE
ejpam-6834	754	6	69	CARDINAL
ejpam-6834	758	1	di ≥ α′	ORG
ejpam-6834	759	1	20	CARDINAL
ejpam-6834	762	1	pcf	ORG
ejpam-6834	762	2	x.	ORG
ejpam-6834	762	3	f−1	CARDINAL
ejpam-6834	762	4	1	CARDINAL
ejpam-6834	763	1	p(x	PERSON
ejpam-6834	763	2	1	CARDINAL
ejpam-6834	763	3	f−1	CARDINAL
ejpam-6834	763	4	t ≥ 1	DATE
ejpam-6834	764	1	a′	ORG
ejpam-6834	764	2	∈ p m(y	PRODUCT
ejpam-6834	764	3	∈	ORG
ejpam-6834	764	4	∈	ORG
ejpam-6834	764	5	a′	ORG
ejpam-6834	764	6	pcf	ORG
ejpam-6834	765	1	pcf	ORG
ejpam-6834	767	1	a′	ORG
ejpam-6834	767	2	∈ p m(y	ORG
ejpam-6834	768	1	1]s	CARDINAL
ejpam-6834	768	2	a′	ORG
ejpam-6834	770	1	21	DATE
ejpam-6834	772	1	0	CARDINAL
ejpam-6834	772	2	1]s	CARDINAL
ejpam-6834	772	3	0	CARDINAL
ejpam-6834	772	4	1	CARDINAL
ejpam-6834	773	1	1]s	CARDINAL
ejpam-6834	773	2	1	CARDINAL
ejpam-6834	773	3	n(ϕ	DATE
ejpam-6834	774	1	∈	ORG
ejpam-6834	774	2	a(a	PERSON
ejpam-6834	777	1	1	CARDINAL
ejpam-6834	779	1	1]s	CARDINAL
ejpam-6834	779	2	nonempty	ORG
ejpam-6834	779	3	1	CARDINAL
ejpam-6834	779	4	0	CARDINAL
ejpam-6834	779	5	1	CARDINAL
ejpam-6834	780	1	a(a	DATE
ejpam-6834	781	1	∈ p n([0	ORG
ejpam-6834	781	2	1	CARDINAL
ejpam-6834	783	1	t. fujita	PERSON
ejpam-6834	784	1	j. pure	PERSON
ejpam-6834	784	2	18	CARDINAL
ejpam-6834	784	3	4	CARDINAL
ejpam-6834	784	4	2025	CARDINAL
ejpam-6834	784	5	6834 34	DATE
ejpam-6834	784	6	69	CARDINAL
ejpam-6834	784	7	22	DATE
ejpam-6834	786	1	0	CARDINAL
ejpam-6834	786	2	1]t	DATE
ejpam-6834	786	3	av	ORG
ejpam-6834	786	4	δ(a	ORG
ejpam-6834	787	1	∈	ORG
ejpam-6834	787	2	∣∣∣	CARDINAL
ejpam-6834	787	3	∈	ORG
ejpam-6834	787	4	n)(a	LOC
ejpam-6834	788	1	δ′ ≤ δ	PRODUCT
ejpam-6834	788	2	⊆	CARDINAL
ejpam-6834	788	3	δ(a	ORG
ejpam-6834	790	1	∈	ORG
ejpam-6834	790	2	n)(a	LOC
ejpam-6834	791	1	∥δ′∥∞ ≤ ∥δ∥∞	DATE
ejpam-6834	791	2	∈	PRODUCT
ejpam-6834	791	3	δ(a	ORG
ejpam-6834	792	1	3.2	CARDINAL
ejpam-6834	793	1	the (h, k)-ary (m	ORG
ejpam-6834	794	1	3.2.1	CARDINAL
ejpam-6834	796	1	22	DATE
ejpam-6834	797	1	k ∈ n	ORG
ejpam-6834	797	2	k ≥ 1	ORG
ejpam-6834	799	1	1	CARDINAL
ejpam-6834	799	2	1	CARDINAL
ejpam-6834	801	1	1	CARDINAL
ejpam-6834	804	1	∈	ORG
ejpam-6834	804	2	1	CARDINAL
ejpam-6834	804	3	1 ≤	QUANTITY
ejpam-6834	804	4	j ≤ k.	PERSON
ejpam-6834	805	1	1	CARDINAL
ejpam-6834	805	2	1	CARDINAL
ejpam-6834	805	3	j.	PERSON
ejpam-6834	805	4	2	CARDINAL
ejpam-6834	805	5	2)-ary	DATE
ejpam-6834	805	6	1	CARDINAL
ejpam-6834	806	1	1	CARDINAL
ejpam-6834	807	1	2	CARDINAL
ejpam-6834	807	2	p(x	PERSON
ejpam-6834	807	3	1	CARDINAL
ejpam-6834	808	1	1	CARDINAL
ejpam-6834	808	2	1	CARDINAL
ejpam-6834	808	3	1	CARDINAL
ejpam-6834	809	1	∈	ORG
ejpam-6834	811	1	1,1	CARDINAL
ejpam-6834	811	2	2,2)(a1	CARDINAL
ejpam-6834	811	3	bcomfort(a1	GPE
ejpam-6834	811	4	t. fujita	PERSON
ejpam-6834	812	1	j. pure	PERSON
ejpam-6834	812	2	18	CARDINAL
ejpam-6834	812	3	4	CARDINAL
ejpam-6834	812	4	2025	CARDINAL
ejpam-6834	812	5	6834 35	DATE
ejpam-6834	812	6	69	CARDINAL
ejpam-6834	812	7	max{1	NORP
ejpam-6834	812	8	bcomfort(a1	GPE
ejpam-6834	813	1	0.60 + 0.30	CARDINAL
ejpam-6834	813	2	0.70 + 0.25	CARDINAL
ejpam-6834	815	1	0	CARDINAL
ejpam-6834	815	2	1	CARDINAL
ejpam-6834	816	1	0.20	CARDINAL
ejpam-6834	816	2	0.30 + 0.45ω(a2	QUANTITY
ejpam-6834	818	1	0	CARDINAL
ejpam-6834	818	2	1	CARDINAL
ejpam-6834	819	1	room2	PERSON
ejpam-6834	819	2	1/2	CARDINAL
ejpam-6834	819	3	ω	CARDINAL
ejpam-6834	819	4	1/3	CARDINAL
ejpam-6834	820	1	0.60	CARDINAL
ejpam-6834	821	1	0.70	CARDINAL
ejpam-6834	824	1	0.75	CARDINAL
ejpam-6834	824	2	0.825	DATE
ejpam-6834	825	1	0.20 + 0.1333	CARDINAL
ejpam-6834	825	2	0.30	CARDINAL
ejpam-6834	828	1	0.3333	CARDINAL
ejpam-6834	828	2	0.45	CARDINAL
ejpam-6834	828	3	1,1	CARDINAL
ejpam-6834	828	4	2,2)(a1	CARDINAL
ejpam-6834	829	1	0.75	CARDINAL
ejpam-6834	829	2	0.825	DATE
ejpam-6834	829	3	0.3333	CARDINAL
ejpam-6834	829	4	0.45	CARDINAL
ejpam-6834	830	1	2	CARDINAL
ejpam-6834	830	2	2)-ary	DATE
ejpam-6834	830	3	1	CARDINAL
ejpam-6834	831	1	22	CARDINAL
ejpam-6834	831	2	two	CARDINAL
ejpam-6834	831	3	two	CARDINAL
ejpam-6834	832	1	1	CARDINAL
ejpam-6834	832	2	2	CARDINAL
ejpam-6834	832	3	two	CARDINAL
ejpam-6834	832	4	1,1	CARDINAL
ejpam-6834	832	5	2,2)(a1	CARDINAL
ejpam-6834	832	6	bdisb(a2	ORG
ejpam-6834	833	1	0.30 + 0.20 |a1| 3	MONEY
ejpam-6834	833	2	0.50 + 0.30 |a1| 3	QUANTITY
ejpam-6834	833	3	bdisb(a2	ORG
ejpam-6834	833	4	0.25	CARDINAL
ejpam-6834	834	1	0.35 + 0.20 |a2| 3	QUANTITY
ejpam-6834	835	1	1,1	CARDINAL
ejpam-6834	835	2	2,2	CARDINAL
ejpam-6834	837	1	0.30+0.20	MONEY
ejpam-6834	837	2	23	CARDINAL
ejpam-6834	837	3	0.50	CARDINAL
ejpam-6834	837	4	23	CARDINAL
ejpam-6834	837	5	0.25+ 0.15	CARDINAL
ejpam-6834	837	6	1 3	DATE
ejpam-6834	837	7	0.35 + 0.20	QUANTITY
ejpam-6834	837	8	1 3	DATE
ejpam-6834	838	1	0.4333	CARDINAL
ejpam-6834	838	2	0.70	CARDINAL
ejpam-6834	838	3	0.30	CARDINAL
ejpam-6834	838	4	0.4166	CARDINAL
ejpam-6834	839	1	23	CARDINAL
ejpam-6834	840	1	1	CARDINAL
ejpam-6834	842	1	1,1	CARDINAL
ejpam-6834	842	2	1]))1	CARDINAL
ejpam-6834	844	1	1]))1	CARDINAL
ejpam-6834	844	2	1	CARDINAL
ejpam-6834	846	1	7→	CARDINAL
ejpam-6834	846	2	7→	CARDINAL
ejpam-6834	847	1	1,1	CARDINAL
ejpam-6834	847	2	1	CARDINAL
ejpam-6834	848	1	t. fujita	PERSON
ejpam-6834	849	1	j. pure	PERSON
ejpam-6834	849	2	18	CARDINAL
ejpam-6834	849	3	4	CARDINAL
ejpam-6834	849	4	2025	CARDINAL
ejpam-6834	849	5	6834 36	DATE
ejpam-6834	849	6	69	DATE
ejpam-6834	849	7	∈	PRODUCT
ejpam-6834	851	1	1,1	CARDINAL
ejpam-6834	852	1	1,1	CARDINAL
ejpam-6834	853	1	∈	ORG
ejpam-6834	853	2	1	CARDINAL
ejpam-6834	854	1	map pm(x	PERSON
ejpam-6834	854	2	1	CARDINAL
ejpam-6834	854	3	nonempty	ORG
ejpam-6834	855	1	24	DATE
ejpam-6834	856	1	1 ≤	CARDINAL
ejpam-6834	857	1	aij ∈	PERSON
ejpam-6834	858	1	1]))k	CARDINAL
ejpam-6834	858	2	aij	ORG
ejpam-6834	859	1	k)-ary	DATE
ejpam-6834	861	1	aℓ)ℓ∈ifree	CARDINAL
ejpam-6834	861	2	∈	ORG
ejpam-6834	861	3	1	CARDINAL
ejpam-6834	868	1	aij	PERSON
ejpam-6834	870	1	∈	ORG
ejpam-6834	872	1	1	CARDINAL
ejpam-6834	872	2	nonempty	CARDINAL
ejpam-6834	873	1	k)-ary	DATE
ejpam-6834	874	1	25	CARDINAL
ejpam-6834	875	1	1 ≤	QUANTITY
ejpam-6834	881	1	1]))k	CARDINAL
ejpam-6834	881	2	j1	PERSON
ejpam-6834	884	1	1	CARDINAL
ejpam-6834	884	2	nonempty	ORG
ejpam-6834	885	1	µproj	PRODUCT
ejpam-6834	886	1	26	CARDINAL
ejpam-6834	887	1	1]))k	CARDINAL
ejpam-6834	889	1	t. fujita	PERSON
ejpam-6834	890	1	j. pure	PERSON
ejpam-6834	890	2	18	CARDINAL
ejpam-6834	890	3	4	CARDINAL
ejpam-6834	890	4	2025	CARDINAL
ejpam-6834	890	5	6834 37	DATE
ejpam-6834	890	6	69	CARDINAL
ejpam-6834	891	1	∈	ORG
ejpam-6834	891	2	1 ≤ j ≤ k.	QUANTITY
ejpam-6834	891	3	∈	ORG
ejpam-6834	891	4	1	CARDINAL
ejpam-6834	892	1	1	CARDINAL
ejpam-6834	892	2	1	CARDINAL
ejpam-6834	892	3	two	CARDINAL
ejpam-6834	893	1	∈	ORG
ejpam-6834	893	2	1	CARDINAL
ejpam-6834	893	3	two	CARDINAL
ejpam-6834	894	1	1]))k	CARDINAL
ejpam-6834	895	1	27	CARDINAL
ejpam-6834	897	1	0	CARDINAL
ejpam-6834	897	2	1	CARDINAL
ejpam-6834	897	3	∈	ORG
ejpam-6834	897	4	∣∣∣ ∃j ∃t	ORG
ejpam-6834	898	1	0 ≤ α1	QUANTITY
ejpam-6834	900	1	∈	ORG
ejpam-6834	901	1	∈	ORG
ejpam-6834	902	1	∈	ORG
ejpam-6834	903	1	⊆	CARDINAL
ejpam-6834	904	1	28	CARDINAL
ejpam-6834	906	1	f−1	CARDINAL
ejpam-6834	906	2	1	CARDINAL
ejpam-6834	907	1	p(x	PERSON
ejpam-6834	907	2	f−1	CARDINAL
ejpam-6834	907	3	1	CARDINAL
ejpam-6834	907	4	1	CARDINAL
ejpam-6834	908	1	f∗µ	ORG
ejpam-6834	908	2	1]))k	CARDINAL
ejpam-6834	908	3	f∗µ	ORG
ejpam-6834	908	4	1	CARDINAL
ejpam-6834	912	1	m)(a ′	DATE
ejpam-6834	914	1	first	ORDINAL
ejpam-6834	915	1	1	CARDINAL
ejpam-6834	915	2	⊆	CARDINAL
ejpam-6834	915	3	1	CARDINAL
ejpam-6834	915	4	⊆	CARDINAL
ejpam-6834	915	5	1	CARDINAL
ejpam-6834	917	1	∈	ORG
ejpam-6834	917	2	p(pr(x	NORP
ejpam-6834	923	1	m)(a ′	DATE
ejpam-6834	923	2	1]))k	CARDINAL
ejpam-6834	923	3	nonempty	ORG
ejpam-6834	924	1	f∗µ	ORG
ejpam-6834	925	1	t. fujita	PERSON
ejpam-6834	926	1	j. pure	PERSON
ejpam-6834	926	2	18	CARDINAL
ejpam-6834	926	3	4	CARDINAL
ejpam-6834	926	4	2025	CARDINAL
ejpam-6834	926	5	6834 38	DATE
ejpam-6834	926	6	69 3.2.2	CARDINAL
ejpam-6834	927	1	k)-ary	DATE
ejpam-6834	928	1	0	CARDINAL
ejpam-6834	928	2	1]3	CARDINAL
ejpam-6834	930	1	0	CARDINAL
ejpam-6834	930	2	1]3	CARDINAL
ejpam-6834	930	3	0 ≤	MONEY
ejpam-6834	932	1	23	CARDINAL
ejpam-6834	933	1	k ∈ n	ORG
ejpam-6834	933	2	k ≥ 1	ORG
ejpam-6834	935	1	1]3	CARDINAL
ejpam-6834	939	1	∈	ORG
ejpam-6834	939	2	1]3	CARDINAL
ejpam-6834	940	1	0	CARDINAL
ejpam-6834	940	2	1]3	CARDINAL
ejpam-6834	940	3	0 ≤	MONEY
ejpam-6834	943	1	23	CARDINAL
ejpam-6834	943	2	1	CARDINAL
ejpam-6834	943	3	1	CARDINAL
ejpam-6834	944	1	1	CARDINAL
ejpam-6834	945	1	1]3	CARDINAL
ejpam-6834	946	1	1,1	CARDINAL
ejpam-6834	946	2	1,1	CARDINAL
ejpam-6834	946	3	1]3	CARDINAL
ejpam-6834	946	4	1,1	CARDINAL
ejpam-6834	946	5	1,1)({a	CARDINAL
ejpam-6834	946	6	0.6	CARDINAL
ejpam-6834	946	7	0.2	DATE
ejpam-6834	946	8	0.1	CARDINAL
ejpam-6834	946	9	1,1	CARDINAL
ejpam-6834	946	10	1,1)({b	CARDINAL
ejpam-6834	946	11	0.4	CARDINAL
ejpam-6834	946	12	0.3	CARDINAL
ejpam-6834	946	13	0.2	CARDINAL
ejpam-6834	946	14	1,1	CARDINAL
ejpam-6834	946	15	1,1)({a	CARDINAL
ejpam-6834	946	16	0.7	CARDINAL
ejpam-6834	946	17	0.1	CARDINAL
ejpam-6834	946	18	0.1	CARDINAL
ejpam-6834	946	19	0.8	CARDINAL
ejpam-6834	946	20	0.0	DATE
ejpam-6834	946	21	0.1	CARDINAL
ejpam-6834	947	1	0	CARDINAL
ejpam-6834	947	2	1]3	CARDINAL
ejpam-6834	949	1	24	CARDINAL
ejpam-6834	949	2	credit & liquidity	ORG
ejpam-6834	949	3	2	CARDINAL
ejpam-6834	949	4	2)-ary	DATE
ejpam-6834	949	5	1	CARDINAL
ejpam-6834	950	1	1	CARDINAL
ejpam-6834	951	1	2	CARDINAL
ejpam-6834	952	1	1]3	CARDINAL
ejpam-6834	952	2	1]3	CARDINAL
ejpam-6834	953	1	t. fujita	PERSON
ejpam-6834	954	1	j. pure	PERSON
ejpam-6834	954	2	18	CARDINAL
ejpam-6834	954	3	4	CARDINAL
ejpam-6834	954	4	2025	CARDINAL
ejpam-6834	954	5	6834 39	DATE
ejpam-6834	954	6	69	DATE
ejpam-6834	955	1	1,1	CARDINAL
ejpam-6834	955	2	2,2)(a1	CARDINAL
ejpam-6834	955	3	0.70	CARDINAL
ejpam-6834	955	4	0.20	CARDINAL
ejpam-6834	955	5	0.10	CARDINAL
ejpam-6834	955	6	0.65	CARDINAL
ejpam-6834	955	7	0.25	CARDINAL
ejpam-6834	955	8	0.10	CARDINAL
ejpam-6834	955	9	0.40	CARDINAL
ejpam-6834	955	10	0.40	CARDINAL
ejpam-6834	955	11	0.20	CARDINAL
ejpam-6834	956	1	0 ≤	MONEY
ejpam-6834	958	1	1,1	CARDINAL
ejpam-6834	958	2	2,2	CARDINAL
ejpam-6834	958	3	2	CARDINAL
ejpam-6834	958	4	2)-ary	DATE
ejpam-6834	958	5	1	CARDINAL
ejpam-6834	959	1	29	CARDINAL
ejpam-6834	960	1	1	CARDINAL
ejpam-6834	962	1	1]3))k	DATE
ejpam-6834	965	1	1	CARDINAL
ejpam-6834	966	1	cartesian	NORP
ejpam-6834	966	2	1]3	CARDINAL
ejpam-6834	967	1	1]3	CARDINAL
ejpam-6834	971	1	0	CARDINAL
ejpam-6834	971	2	1]3	CARDINAL
ejpam-6834	971	3	0	CARDINAL
ejpam-6834	971	4	1	CARDINAL
ejpam-6834	972	1	1	CARDINAL
ejpam-6834	972	2	1	CARDINAL
ejpam-6834	972	3	1]3	CARDINAL
ejpam-6834	972	4	1	CARDINAL
ejpam-6834	972	5	1	CARDINAL
ejpam-6834	973	1	1	CARDINAL
ejpam-6834	973	2	1]3	CARDINAL
ejpam-6834	973	3	1	CARDINAL
ejpam-6834	975	1	t. fujita	PERSON
ejpam-6834	976	1	j. pure	PERSON
ejpam-6834	976	2	18	CARDINAL
ejpam-6834	976	3	4	CARDINAL
ejpam-6834	976	4	2025	CARDINAL
ejpam-6834	976	5	6834 40	DATE
ejpam-6834	976	6	69	CARDINAL
ejpam-6834	976	7	1	CARDINAL
ejpam-6834	976	8	t (s) ̸=	ORG
ejpam-6834	976	9	s.	PERSON
ejpam-6834	976	10	π̂t	PERSON
ejpam-6834	976	11	1]3))k	DATE
ejpam-6834	976	12	1]))k	CARDINAL
ejpam-6834	976	13	π̂t	PERSON
ejpam-6834	981	1	∈	ORG
ejpam-6834	981	2	0	CARDINAL
ejpam-6834	981	3	1	CARDINAL
ejpam-6834	982	1	30	DATE
ejpam-6834	983	1	1 ≤	CARDINAL
ejpam-6834	984	1	aij ∈	PERSON
ejpam-6834	985	1	1]3	CARDINAL
ejpam-6834	986	1	aij	ORG
ejpam-6834	986	2	k)-ary	DATE
ejpam-6834	988	1	1	CARDINAL
ejpam-6834	993	1	∈	ORG
ejpam-6834	993	2	ι(b	ORG
ejpam-6834	994	1	aij	ORG
ejpam-6834	996	1	j.	PERSON
ejpam-6834	996	2	ι(b	ORG
ejpam-6834	1000	1	jth	PRODUCT
ejpam-6834	1000	2	1]3	CARDINAL
ejpam-6834	1000	3	ã.	ORG
ejpam-6834	1000	4	k)-ary	DATE
ejpam-6834	1001	1	31	CARDINAL
ejpam-6834	1002	1	1 ≤	QUANTITY
ejpam-6834	1007	1	cjs	ORG
ejpam-6834	1007	2	ã(a	DATE
ejpam-6834	1010	1	1]3))s	DATE
ejpam-6834	1012	1	pj	PERSON
ejpam-6834	1012	2	1]3))k	DATE
ejpam-6834	1012	3	1]3))s	DATE
ejpam-6834	1017	1	cjs	ORG
ejpam-6834	1018	1	1]3	CARDINAL
ejpam-6834	1019	1	1]3))s	DATE
ejpam-6834	1020	1	32	CARDINAL
ejpam-6834	1021	1	1]3))k	DATE
ejpam-6834	1022	1	ã1(a)j	NORP
ejpam-6834	1024	1	t. fujita	PERSON
ejpam-6834	1025	1	j. pure	PERSON
ejpam-6834	1025	2	18	CARDINAL
ejpam-6834	1025	3	4	CARDINAL
ejpam-6834	1025	4	2025	CARDINAL
ejpam-6834	1025	5	6834 41	DATE
ejpam-6834	1025	6	69	CARDINAL
ejpam-6834	1026	1	1	CARDINAL
ejpam-6834	1027	1	∈	ORG
ejpam-6834	1028	1	1	CARDINAL
ejpam-6834	1029	1	+ 1	DATE
ejpam-6834	1030	1	u ∪	ORG
ejpam-6834	1030	2	∈	ORG
ejpam-6834	1032	1	0	CARDINAL
ejpam-6834	1032	2	1]3	CARDINAL
ejpam-6834	1032	3	j	PERSON
ejpam-6834	1032	4	1]3	CARDINAL
ejpam-6834	1033	1	0 ≤ t+i+f ≤	MONEY
ejpam-6834	1034	1	1]3))k	DATE
ejpam-6834	1034	2	33	DATE
ejpam-6834	1036	1	∩	WORK_OF_ART
ejpam-6834	1038	1	nonempty	ORG
ejpam-6834	1042	1	1	CARDINAL
ejpam-6834	1042	2	s. if u ∩v ̸= ∅	ORG
ejpam-6834	1042	3	u ∩v	ORG
ejpam-6834	1043	1	1	CARDINAL
ejpam-6834	1044	1	u ∩v ̸= ∅	ORG
ejpam-6834	1044	2	∩	PERSON
ejpam-6834	1044	3	∩	PERSON
ejpam-6834	1044	4	∈	ORG
ejpam-6834	1046	1	0	CARDINAL
ejpam-6834	1046	2	1]3	CARDINAL
ejpam-6834	1046	3	1]3	CARDINAL
ejpam-6834	1049	1	34	CARDINAL
ejpam-6834	1051	1	0	CARDINAL
ejpam-6834	1051	2	1]3	CARDINAL
ejpam-6834	1051	3	∈	ORG
ejpam-6834	1051	4	∣∣∣ ∃j	GPE
ejpam-6834	1051	5	∈	ORG
ejpam-6834	1052	1	α′, β′, γ′	DATE
ejpam-6834	1052	2	γ′ ≤ γ	ORG
ejpam-6834	1052	3	⊆	CARDINAL
ejpam-6834	1053	1	∈	ORG
ejpam-6834	1054	1	∈	ORG
ejpam-6834	1054	2	t ≥ α′	DATE
ejpam-6834	1054	3	f ≤ γ′.	PRODUCT
ejpam-6834	1054	4	α′ ≥ α	DATE
ejpam-6834	1054	5	γ′ ≤ γ	ORG
ejpam-6834	1054	6	∈	ORG
ejpam-6834	1055	1	⊆	CARDINAL
ejpam-6834	1056	1	35	CARDINAL
ejpam-6834	1058	1	0	CARDINAL
ejpam-6834	1058	2	1]3	CARDINAL
ejpam-6834	1058	3	0	CARDINAL
ejpam-6834	1058	4	1	CARDINAL
ejpam-6834	1059	1	1]3))k	DATE
ejpam-6834	1059	2	1]))k	CARDINAL
ejpam-6834	1060	1	ã	PRODUCT
ejpam-6834	1060	2	k)ary	PERSON
ejpam-6834	1061	1	t. fujita	PERSON
ejpam-6834	1062	1	j. pure	PERSON
ejpam-6834	1062	2	18	CARDINAL
ejpam-6834	1062	3	4	CARDINAL
ejpam-6834	1062	4	2025	CARDINAL
ejpam-6834	1062	5	6834 42	DATE
ejpam-6834	1062	6	69	CARDINAL
ejpam-6834	1063	1	1	CARDINAL
ejpam-6834	1063	2	1	CARDINAL
ejpam-6834	1065	1	ã)(a	DATE
ejpam-6834	1065	2	0	CARDINAL
ejpam-6834	1065	3	1	CARDINAL
ejpam-6834	1065	4	1]))k	CARDINAL
ejpam-6834	1067	1	36	CARDINAL
ejpam-6834	1069	1	nonempty	CARDINAL
ejpam-6834	1069	2	preimage	ORG
ejpam-6834	1069	3	f−1	CARDINAL
ejpam-6834	1069	4	1	CARDINAL
ejpam-6834	1074	1	−1	DATE
ejpam-6834	1074	2	∈	ORG
ejpam-6834	1077	1	1	CARDINAL
ejpam-6834	1078	1	f(x	ORG
ejpam-6834	1079	1	1	CARDINAL
ejpam-6834	1079	2	1	CARDINAL
ejpam-6834	1080	1	+ 1	DATE
ejpam-6834	1081	1	∈	ORG
ejpam-6834	1085	1	∈	ORG
ejpam-6834	1086	1	1]3))k	DATE
ejpam-6834	1086	2	nonempty	ORG
ejpam-6834	1087	1	f∗ã	ORG
ejpam-6834	1088	1	37	DATE
ejpam-6834	1089	1	1	CARDINAL
ejpam-6834	1089	2	1]3	CARDINAL
ejpam-6834	1091	1	1]3))1	CARDINAL
ejpam-6834	1091	2	1]3	CARDINAL
ejpam-6834	1091	3	k)-ary	DATE
ejpam-6834	1093	1	3.2.3	CARDINAL
ejpam-6834	1093	2	k)-ary	DATE
ejpam-6834	1093	3	0	CARDINAL
ejpam-6834	1093	4	1]s	CARDINAL
ejpam-6834	1094	1	t. fujita	PERSON
ejpam-6834	1095	1	j. pure	PERSON
ejpam-6834	1095	2	18	CARDINAL
ejpam-6834	1095	3	4	CARDINAL
ejpam-6834	1095	4	2025	CARDINAL
ejpam-6834	1095	5	6834 43	DATE
ejpam-6834	1095	6	69	DATE
ejpam-6834	1096	1	t ⊆ pr	ORG
ejpam-6834	1096	2	nonempty	CARDINAL
ejpam-6834	1097	1	0	CARDINAL
ejpam-6834	1097	2	1]s	CARDINAL
ejpam-6834	1098	1	0	CARDINAL
ejpam-6834	1098	2	1]s	CARDINAL
ejpam-6834	1098	3	1	CARDINAL
ejpam-6834	1099	1	s.	PERSON
ejpam-6834	1099	2	24	DATE
ejpam-6834	1099	3	k)-ary	DATE
ejpam-6834	1100	1	n, h	ORG
ejpam-6834	1100	2	k ∈ n	ORG
ejpam-6834	1100	3	k ≥ 1	ORG
ejpam-6834	1100	4	1	CARDINAL
ejpam-6834	1103	1	0	CARDINAL
ejpam-6834	1103	2	1]s	CARDINAL
ejpam-6834	1106	1	pcf	ORG
ejpam-6834	1108	1	∈	ORG
ejpam-6834	1110	1	∈	ORG
ejpam-6834	1110	2	0	CARDINAL
ejpam-6834	1110	3	1]s	CARDINAL
ejpam-6834	1111	1	0	CARDINAL
ejpam-6834	1111	2	1]s	CARDINAL
ejpam-6834	1111	3	pcf	ORG
ejpam-6834	1112	1	0	CARDINAL
ejpam-6834	1112	2	1]t	DATE
ejpam-6834	1112	3	pcf	ORG
ejpam-6834	1114	1	0	CARDINAL
ejpam-6834	1114	2	1]t	DATE
ejpam-6834	1114	3	pcf	ORG
ejpam-6834	1114	4	∈	ORG
ejpam-6834	1115	1	25	CARDINAL
ejpam-6834	1115	2	2	CARDINAL
ejpam-6834	1115	3	2)-ary	DATE
ejpam-6834	1115	4	1	CARDINAL
ejpam-6834	1115	5	1	CARDINAL
ejpam-6834	1118	1	1	CARDINAL
ejpam-6834	1120	1	2	CARDINAL
ejpam-6834	1120	2	1	CARDINAL
ejpam-6834	1122	1	1	CARDINAL
ejpam-6834	1122	2	1	CARDINAL
ejpam-6834	1122	3	t. fujita	PERSON
ejpam-6834	1123	1	j. pure	PERSON
ejpam-6834	1123	2	18	CARDINAL
ejpam-6834	1123	3	4	CARDINAL
ejpam-6834	1123	4	2025	CARDINAL
ejpam-6834	1123	5	6834 44	DATE
ejpam-6834	1123	6	69	CARDINAL
ejpam-6834	1124	1	∈	ORG
ejpam-6834	1126	1	1,1	CARDINAL
ejpam-6834	1127	1	0.7	CARDINAL
ejpam-6834	1127	2	0.9	CARDINAL
ejpam-6834	1127	3	0.8	CARDINAL
ejpam-6834	1127	4	1,1	CARDINAL
ejpam-6834	1127	5	0.5	CARDINAL
ejpam-6834	1127	6	0.6	CARDINAL
ejpam-6834	1128	1	0.4	CARDINAL
ejpam-6834	1128	2	0.6	CARDINAL
ejpam-6834	1129	1	first	ORDINAL
ejpam-6834	1129	2	second	ORDINAL
ejpam-6834	1130	1	pcf	ORG
ejpam-6834	1130	2	1	CARDINAL
ejpam-6834	1130	3	pcf	ORG
ejpam-6834	1130	4	0.5	CARDINAL
ejpam-6834	1130	5	pcf	ORG
ejpam-6834	1130	6	0	CARDINAL
ejpam-6834	1131	1	2,2	CARDINAL
ejpam-6834	1131	2	1	CARDINAL
ejpam-6834	1131	3	1	CARDINAL
ejpam-6834	1131	4	two	CARDINAL
ejpam-6834	1132	1	26	CARDINAL
ejpam-6834	1132	2	1	CARDINAL
ejpam-6834	1132	3	1)-ary	CARDINAL
ejpam-6834	1132	4	1	CARDINAL
ejpam-6834	1132	5	1	CARDINAL
ejpam-6834	1135	1	1	CARDINAL
ejpam-6834	1136	1	1	CARDINAL
ejpam-6834	1137	1	1,1	CARDINAL
ejpam-6834	1138	1	0.70	CARDINAL
ejpam-6834	1138	2	0.90	CARDINAL
ejpam-6834	1138	3	1,1	CARDINAL
ejpam-6834	1138	4	0.40	CARDINAL
ejpam-6834	1138	5	0.50	CARDINAL
ejpam-6834	1138	6	1,1	CARDINAL
ejpam-6834	1138	7	0.80	CARDINAL
ejpam-6834	1138	8	1,1	CARDINAL
ejpam-6834	1139	1	0.30	CARDINAL
ejpam-6834	1139	2	0.45	CARDINAL
ejpam-6834	1139	3	1,1	CARDINAL
ejpam-6834	1140	1	0.65	CARDINAL
ejpam-6834	1140	2	0.85	CARDINAL
ejpam-6834	1140	3	1,1	CARDINAL
ejpam-6834	1140	4	0.35	CARDINAL
ejpam-6834	1140	5	0.55	CARDINAL
ejpam-6834	1141	1	pcf	ORG
ejpam-6834	1141	2	pcf	ORG
ejpam-6834	1141	3	0.8	CARDINAL
ejpam-6834	1141	4	pcf	ORG
ejpam-6834	1141	5	0	CARDINAL
ejpam-6834	1142	1	27	CARDINAL
ejpam-6834	1142	2	2	CARDINAL
ejpam-6834	1142	3	2)-ary	DATE
ejpam-6834	1142	4	1	CARDINAL
ejpam-6834	1142	5	1	CARDINAL
ejpam-6834	1143	1	1	CARDINAL
ejpam-6834	1144	1	2	CARDINAL
ejpam-6834	1144	2	2	CARDINAL
ejpam-6834	1145	1	1	CARDINAL
ejpam-6834	1147	1	1,1	CARDINAL
ejpam-6834	1148	1	0.85	CARDINAL
ejpam-6834	1148	2	0.80	CARDINAL
ejpam-6834	1148	3	0.88	CARDINAL
ejpam-6834	1148	4	0.82	CARDINAL
ejpam-6834	1148	5	0.90	CARDINAL
ejpam-6834	1148	6	0.85	CARDINAL
ejpam-6834	1149	1	0	CARDINAL
ejpam-6834	1149	2	1]2	CARDINAL
ejpam-6834	1150	1	pcf	ORG
ejpam-6834	1150	2	1	CARDINAL
ejpam-6834	1150	3	pcf	ORG
ejpam-6834	1150	4	0.6	CARDINAL
ejpam-6834	1150	5	pcf	ORG
ejpam-6834	1150	6	0.4	CARDINAL
ejpam-6834	1150	7	pcf	ORG
ejpam-6834	1150	8	0	CARDINAL
ejpam-6834	1151	1	t. fujita	PERSON
ejpam-6834	1152	1	j. pure	PERSON
ejpam-6834	1152	2	18	CARDINAL
ejpam-6834	1152	3	4	CARDINAL
ejpam-6834	1152	4	2025	CARDINAL
ejpam-6834	1152	5	6834 45	DATE
ejpam-6834	1152	6	69	CARDINAL
ejpam-6834	1152	7	28	CARDINAL
ejpam-6834	1152	8	2	CARDINAL
ejpam-6834	1152	9	2)-ary	DATE
ejpam-6834	1152	10	3	CARDINAL
ejpam-6834	1153	1	3	CARDINAL
ejpam-6834	1154	1	2	CARDINAL
ejpam-6834	1154	2	2	CARDINAL
ejpam-6834	1154	3	1	CARDINAL
ejpam-6834	1155	1	0	CARDINAL
ejpam-6834	1155	2	1]2))2	CARDINAL
ejpam-6834	1156	1	3,3	CARDINAL
ejpam-6834	1156	2	0.90	CARDINAL
ejpam-6834	1156	3	0.85	CARDINAL
ejpam-6834	1156	4	0.92	CARDINAL
ejpam-6834	1156	5	0.88	CARDINAL
ejpam-6834	1156	6	0.88	CARDINAL
ejpam-6834	1156	7	0.80	CARDINAL
ejpam-6834	1156	8	0.75	CARDINAL
ejpam-6834	1156	9	0.70	CARDINAL
ejpam-6834	1156	10	0.78	CARDINAL
ejpam-6834	1156	11	0.73	CARDINAL
ejpam-6834	1156	12	0.80	CARDINAL
ejpam-6834	1156	13	0.75	CARDINAL
ejpam-6834	1157	1	pcf	ORG
ejpam-6834	1157	2	0.9	CARDINAL
ejpam-6834	1157	3	pcf	ORG
ejpam-6834	1157	4	0.5	CARDINAL
ejpam-6834	1157	5	pcf	ORG
ejpam-6834	1157	6	0.6	CARDINAL
ejpam-6834	1157	7	pcf	ORG
ejpam-6834	1157	8	0	CARDINAL
ejpam-6834	1158	1	29	CARDINAL
ejpam-6834	1158	2	2	CARDINAL
ejpam-6834	1158	3	2)-ary	DATE
ejpam-6834	1158	4	2	CARDINAL
ejpam-6834	1158	5	2)-superhyperplithogenic	CARDINAL
ejpam-6834	1162	1	2	CARDINAL
ejpam-6834	1162	2	2	DATE
ejpam-6834	1162	3	2	DATE
ejpam-6834	1162	4	2	CARDINAL
ejpam-6834	1162	5	2	CARDINAL
ejpam-6834	1162	6	1	CARDINAL
ejpam-6834	1163	1	two	CARDINAL
ejpam-6834	1164	1	0	CARDINAL
ejpam-6834	1164	2	1]2	DATE
ejpam-6834	1165	1	two	CARDINAL
ejpam-6834	1165	2	2	CARDINAL
ejpam-6834	1165	3	two	CARDINAL
ejpam-6834	1165	4	1	CARDINAL
ejpam-6834	1165	5	2	CARDINAL
ejpam-6834	1167	1	2	CARDINAL
ejpam-6834	1167	2	∈	ORG
ejpam-6834	1168	1	γ ⊆	ORG
ejpam-6834	1169	1	γ ̸=	ORG
ejpam-6834	1170	1	0	CARDINAL
ejpam-6834	1170	2	1]2	DATE
ejpam-6834	1170	3	2	CARDINAL
ejpam-6834	1170	4	nonempty	ORG
ejpam-6834	1170	5	0	CARDINAL
ejpam-6834	1170	6	1]2	DATE
ejpam-6834	1171	1	t. fujita	PERSON
ejpam-6834	1172	1	j. pure	PERSON
ejpam-6834	1172	2	18	CARDINAL
ejpam-6834	1172	3	4	CARDINAL
ejpam-6834	1172	4	2025	CARDINAL
ejpam-6834	1172	5	6834 46	DATE
ejpam-6834	1172	6	69	DATE
ejpam-6834	1174	1	pcf	ORG
ejpam-6834	1175	1	0	CARDINAL
ejpam-6834	1175	2	1	CARDINAL
ejpam-6834	1175	3	pcf	ORG
ejpam-6834	1175	4	0	CARDINAL
ejpam-6834	1175	5	pcf	ORG
ejpam-6834	1175	6	pcf	ORG
ejpam-6834	1175	7	0.6	CARDINAL
ejpam-6834	1175	8	pcf	ORG
ejpam-6834	1175	9	0.4	CARDINAL
ejpam-6834	1175	10	pcf	ORG
ejpam-6834	1175	11	0.5	CARDINAL
ejpam-6834	1179	1	∈	ORG
ejpam-6834	1180	1	∈	ORG
ejpam-6834	1180	2	2,2	CARDINAL
ejpam-6834	1180	3	1	CARDINAL
ejpam-6834	1180	4	2	CARDINAL
ejpam-6834	1181	1	0	CARDINAL
ejpam-6834	1181	2	1]2	DATE
ejpam-6834	1183	1	1	CARDINAL
ejpam-6834	1183	2	0.88	CARDINAL
ejpam-6834	1183	3	0.84	CARDINAL
ejpam-6834	1183	4	0.86	CARDINAL
ejpam-6834	1183	5	0.83	CARDINAL
ejpam-6834	1183	6	0.82	CARDINAL
ejpam-6834	1183	7	0.80	CARDINAL
ejpam-6834	1183	8	2	CARDINAL
ejpam-6834	1183	9	0.78	CARDINAL
ejpam-6834	1183	10	0.75	CARDINAL
ejpam-6834	1183	11	0.81	CARDINAL
ejpam-6834	1183	12	0.79	CARDINAL
ejpam-6834	1184	1	1	CARDINAL
ejpam-6834	1184	2	0.90	CARDINAL
ejpam-6834	1184	3	0.72	CARDINAL
ejpam-6834	1184	4	0.85	CARDINAL
ejpam-6834	1184	5	0.70	CARDINAL
ejpam-6834	1184	6	0.83	CARDINAL
ejpam-6834	1184	7	0.69	CARDINAL
ejpam-6834	1184	8	2	CARDINAL
ejpam-6834	1184	9	0.76	CARDINAL
ejpam-6834	1184	10	0.68	CARDINAL
ejpam-6834	1185	1	1	CARDINAL
ejpam-6834	1185	2	0.80	CARDINAL
ejpam-6834	1185	3	0.77	CARDINAL
ejpam-6834	1185	4	0.74	CARDINAL
ejpam-6834	1185	5	0.73	CARDINAL
ejpam-6834	1185	6	2	CARDINAL
ejpam-6834	1185	7	0.88	CARDINAL
ejpam-6834	1185	8	0.65	CARDINAL
ejpam-6834	1186	1	nonempty	CARDINAL
ejpam-6834	1186	2	two	CARDINAL
ejpam-6834	1187	1	0	CARDINAL
ejpam-6834	1187	2	1]2	DATE
ejpam-6834	1188	1	first	ORDINAL
ejpam-6834	1188	2	second	ORDINAL
ejpam-6834	1188	3	j=2	ORG
ejpam-6834	1189	1	pcf	ORG
ejpam-6834	1191	1	t. fujita	GPE
ejpam-6834	1192	1	j. pure	PERSON
ejpam-6834	1192	2	18	CARDINAL
ejpam-6834	1192	3	4	CARDINAL
ejpam-6834	1192	4	2025	CARDINAL
ejpam-6834	1192	5	6834 47	DATE
ejpam-6834	1192	6	69	CARDINAL
ejpam-6834	1193	1	pcf	ORG
ejpam-6834	1193	2	0.6	CARDINAL
ejpam-6834	1194	1	2,2	CARDINAL
ejpam-6834	1194	2	pcf	ORG
ejpam-6834	1194	3	2	CARDINAL
ejpam-6834	1194	4	2)-ary	DATE
ejpam-6834	1194	5	2	CARDINAL
ejpam-6834	1194	6	2)-superhyperplithogenic	CARDINAL
ejpam-6834	1195	1	38	CARDINAL
ejpam-6834	1197	1	1	CARDINAL
ejpam-6834	1197	2	24	DATE
ejpam-6834	1199	1	24	DATE
ejpam-6834	1200	1	pcf	ORG
ejpam-6834	1201	1	0	CARDINAL
ejpam-6834	1201	2	1]s))k	DATE
ejpam-6834	1203	1	1	CARDINAL
ejpam-6834	1203	2	1	CARDINAL
ejpam-6834	1203	3	0	CARDINAL
ejpam-6834	1203	4	1]s	CARDINAL
ejpam-6834	1203	5	1	CARDINAL
ejpam-6834	1203	6	0	CARDINAL
ejpam-6834	1203	7	1]s	CARDINAL
ejpam-6834	1203	8	φ(a	ORG
ejpam-6834	1203	9	ψ(b	PERSON
ejpam-6834	1204	1	φ	ORG
ejpam-6834	1204	2	1	CARDINAL
ejpam-6834	1204	3	0	CARDINAL
ejpam-6834	1204	4	1]s	CARDINAL
ejpam-6834	1204	5	1	CARDINAL
ejpam-6834	1205	1	0	CARDINAL
ejpam-6834	1205	2	1]s	CARDINAL
ejpam-6834	1205	3	pcf	ORG
ejpam-6834	1206	1	pcf	ORG
ejpam-6834	1206	2	0	CARDINAL
ejpam-6834	1206	3	pcf	ORG
ejpam-6834	1208	1	39	DATE
ejpam-6834	1209	1	1	CARDINAL
ejpam-6834	1209	2	3	CARDINAL
ejpam-6834	1212	1	0	CARDINAL
ejpam-6834	1212	2	1]s))k	DATE
ejpam-6834	1213	1	1	CARDINAL
ejpam-6834	1213	2	0	CARDINAL
ejpam-6834	1213	3	1]s	CARDINAL
ejpam-6834	1214	1	0	CARDINAL
ejpam-6834	1214	2	1	CARDINAL
ejpam-6834	1214	3	0	CARDINAL
ejpam-6834	1214	4	1]))k	CARDINAL
ejpam-6834	1214	5	0	CARDINAL
ejpam-6834	1214	6	1	CARDINAL
ejpam-6834	1215	1	nonempty	CARDINAL
ejpam-6834	1215	2	the (h, k)-ary (	ORG
ejpam-6834	1216	1	pcf	ORG
ejpam-6834	1217	1	t. fujita	PERSON
ejpam-6834	1218	1	j. pure	PERSON
ejpam-6834	1218	2	18	CARDINAL
ejpam-6834	1218	3	4	CARDINAL
ejpam-6834	1218	4	2025	CARDINAL
ejpam-6834	1218	5	6834 48	DATE
ejpam-6834	1218	6	3	CARDINAL
ejpam-6834	1218	7	0	CARDINAL
ejpam-6834	1218	8	1]s	CARDINAL
ejpam-6834	1219	1	0	CARDINAL
ejpam-6834	1219	2	1]3	CARDINAL
ejpam-6834	1219	3	0	CARDINAL
ejpam-6834	1219	4	1]3))k	DATE
ejpam-6834	1220	1	0	CARDINAL
ejpam-6834	1220	2	1]3	CARDINAL
ejpam-6834	1222	1	0	CARDINAL
ejpam-6834	1222	2	1]3	CARDINAL
ejpam-6834	1222	3	0 ≤	MONEY
ejpam-6834	1225	1	40	DATE
ejpam-6834	1226	1	1 ≤	CARDINAL
ejpam-6834	1227	1	aij ∈	PERSON
ejpam-6834	1228	1	aij	ORG
ejpam-6834	1229	1	ι(b	ORG
ejpam-6834	1229	2	pcf	ORG
ejpam-6834	1229	3	k)-ary	DATE
ejpam-6834	1231	1	∈	PRODUCT
ejpam-6834	1232	1	1	CARDINAL
ejpam-6834	1235	1	ι(b	ORG
ejpam-6834	1238	1	aij	ORG
ejpam-6834	1239	1	u = ℓ ∈	PERSON
ejpam-6834	1240	1	ι(b	ORG
ejpam-6834	1240	2	∈	ORG
ejpam-6834	1241	1	∈	ORG
ejpam-6834	1241	2	ι(b	ORG
ejpam-6834	1241	3	0	CARDINAL
ejpam-6834	1241	4	1]s))k	DATE
ejpam-6834	1241	5	nonempty	CARDINAL
ejpam-6834	1244	1	pcf	ORG
ejpam-6834	1245	1	41	CARDINAL
ejpam-6834	1246	1	1 ≤	QUANTITY
ejpam-6834	1247	1	0	CARDINAL
ejpam-6834	1247	2	1]s	CARDINAL
ejpam-6834	1251	1	bjs	PERSON
ejpam-6834	1252	1	7→	CARDINAL
ejpam-6834	1252	2	pcf	ORG
ejpam-6834	1257	1	bjr	GPE
ejpam-6834	1257	2	0	CARDINAL
ejpam-6834	1257	3	1]s	CARDINAL
ejpam-6834	1260	1	∈	ORG
ejpam-6834	1260	2	0	CARDINAL
ejpam-6834	1260	3	1]s	CARDINAL
ejpam-6834	1263	1	pcf	ORG
ejpam-6834	1263	2	24	CARDINAL
ejpam-6834	1263	3	arity s. t. fujita	PERSON
ejpam-6834	1264	1	j. pure	PERSON
ejpam-6834	1264	2	18	CARDINAL
ejpam-6834	1264	3	4	CARDINAL
ejpam-6834	1264	4	2025	CARDINAL
ejpam-6834	1264	5	6834 49	DATE
ejpam-6834	1264	6	69	CARDINAL
ejpam-6834	1264	7	42	DATE
ejpam-6834	1266	1	d×pv	PERSON
ejpam-6834	1266	2	pcf	ORG
ejpam-6834	1273	1	′	CARDINAL
ejpam-6834	1274	1	0	CARDINAL
ejpam-6834	1274	2	1]s	CARDINAL
ejpam-6834	1275	1	n ≥ 1	DATE
ejpam-6834	1276	1	0	CARDINAL
ejpam-6834	1276	2	1]s	CARDINAL
ejpam-6834	1277	1	b′ j	PERSON
ejpam-6834	1277	2	0	CARDINAL
ejpam-6834	1277	3	1]s	CARDINAL
ejpam-6834	1277	4	b′ j	PERSON
ejpam-6834	1277	5	0	CARDINAL
ejpam-6834	1277	6	1]s	DATE
ejpam-6834	1277	7	0	CARDINAL
ejpam-6834	1277	8	1]s	CARDINAL
ejpam-6834	1278	1	j ⊆	LAW
ejpam-6834	1278	2	0	CARDINAL
ejpam-6834	1278	3	1]s	CARDINAL
ejpam-6834	1279	1	b′ j	PERSON
ejpam-6834	1279	2	two	CARDINAL
ejpam-6834	1279	3	0	CARDINAL
ejpam-6834	1279	4	1]s	CARDINAL
ejpam-6834	1280	1	∈	ORG
ejpam-6834	1280	2	0	CARDINAL
ejpam-6834	1280	3	1]s	CARDINAL
ejpam-6834	1281	1	nonempty	CARDINAL
ejpam-6834	1282	1	pcf	ORG
ejpam-6834	1283	1	43	DATE
ejpam-6834	1284	1	42	DATE
ejpam-6834	1286	1	nonempty	ORG
ejpam-6834	1288	1	j.	PERSON
ejpam-6834	1288	2	j ̸= ∅	PERSON
ejpam-6834	1288	3	′	CARDINAL
ejpam-6834	1289	1	0	CARDINAL
ejpam-6834	1289	2	1]s	CARDINAL
ejpam-6834	1290	1	n ≥ 1	DATE
ejpam-6834	1291	1	0	CARDINAL
ejpam-6834	1291	2	1]s	CARDINAL
ejpam-6834	1293	1	0	CARDINAL
ejpam-6834	1293	2	1]s	CARDINAL
ejpam-6834	1293	3	j ̸=	PERSON
ejpam-6834	1293	4	j ∈ p1 +	PERSON
ejpam-6834	1293	5	0	CARDINAL
ejpam-6834	1293	6	1]s	CARDINAL
ejpam-6834	1294	1	j ⊆	LAW
ejpam-6834	1294	2	0	CARDINAL
ejpam-6834	1294	3	1]s	CARDINAL
ejpam-6834	1295	1	0	CARDINAL
ejpam-6834	1295	2	1]s	CARDINAL
ejpam-6834	1299	1	44	DATE
ejpam-6834	1300	1	∈	ORG
ejpam-6834	1301	1	0	CARDINAL
ejpam-6834	1301	2	1]s	CARDINAL
ejpam-6834	1302	1	∈	ORG
ejpam-6834	1302	2	1	CARDINAL
ejpam-6834	1305	1	0	CARDINAL
ejpam-6834	1305	2	1]s	CARDINAL
ejpam-6834	1306	1	α′	PRODUCT
ejpam-6834	1307	1	0	CARDINAL
ejpam-6834	1307	2	1]s	CARDINAL
ejpam-6834	1308	1	t. fujita	PERSON
ejpam-6834	1309	1	j. pure	PERSON
ejpam-6834	1309	2	18	CARDINAL
ejpam-6834	1309	3	4	CARDINAL
ejpam-6834	1309	4	2025	CARDINAL
ejpam-6834	1309	5	6834 50	DATE
ejpam-6834	1310	1	∈	ORG
ejpam-6834	1310	2	α′	PRODUCT
ejpam-6834	1311	1	a)]j	PERSON
ejpam-6834	1311	2	α′.	CARDINAL
ejpam-6834	1312	1	∈	ORG
ejpam-6834	1314	1	45	CARDINAL
ejpam-6834	1316	1	1	CARDINAL
ejpam-6834	1316	2	1	CARDINAL
ejpam-6834	1317	1	∈	ORG
ejpam-6834	1323	1	pcf	ORG
ejpam-6834	1323	2	q. proof.	ORG
ejpam-6834	1324	1	1	CARDINAL
ejpam-6834	1327	1	1	CARDINAL
ejpam-6834	1327	2	∃x ∈ p	ORG
ejpam-6834	1327	3	f(x	ORG
ejpam-6834	1327	4	1	CARDINAL
ejpam-6834	1327	5	1	CARDINAL
ejpam-6834	1327	6	⊆	CARDINAL
ejpam-6834	1327	7	1	CARDINAL
ejpam-6834	1331	1	∈	ORG
ejpam-6834	1337	1	2	CARDINAL
ejpam-6834	1341	1	1	CARDINAL
ejpam-6834	1343	1	−1	DATE
ejpam-6834	1345	1	0	CARDINAL
ejpam-6834	1345	2	1]s))k	CARDINAL
ejpam-6834	1345	3	nonempty	ORG
ejpam-6834	1346	1	pcf	ORG
ejpam-6834	1347	1	24	CARDINAL
ejpam-6834	1347	2	46	DATE
ejpam-6834	1348	1	1	CARDINAL
ejpam-6834	1348	2	0	CARDINAL
ejpam-6834	1348	3	1]s	CARDINAL
ejpam-6834	1351	1	1	CARDINAL
ejpam-6834	1351	2	0	CARDINAL
ejpam-6834	1351	3	1]s	CARDINAL
ejpam-6834	1352	1	1	CARDINAL
ejpam-6834	1352	2	0	CARDINAL
ejpam-6834	1352	3	1]s	CARDINAL
ejpam-6834	1353	1	0	CARDINAL
ejpam-6834	1353	2	1]s	CARDINAL
ejpam-6834	1354	1	pcf	ORG
ejpam-6834	1356	1	t. fujita	PERSON
ejpam-6834	1357	1	j. pure	PERSON
ejpam-6834	1357	2	18	CARDINAL
ejpam-6834	1357	3	4	CARDINAL
ejpam-6834	1357	4	2025	CARDINAL
ejpam-6834	1357	5	6834 51	DATE
ejpam-6834	1357	6	69 4	DATE
ejpam-6834	1361	1	k-ary	PERSON
ejpam-6834	1365	1	4.1	CARDINAL
ejpam-6834	1367	1	⊆	CARDINAL
ejpam-6834	1371	1	cartesian	NORP
ejpam-6834	1372	1	a′	ORG
ejpam-6834	1372	2	a′ 1	LAW
ejpam-6834	1374	1	⊆	CARDINAL
ejpam-6834	1374	2	a′	ORG
ejpam-6834	1374	3	⊆	CARDINAL
ejpam-6834	1374	4	i.	PERSON
ejpam-6834	1374	5	8	CARDINAL
ejpam-6834	1374	6	one	CARDINAL
ejpam-6834	1376	1	25	DATE
ejpam-6834	1378	1	n, h	ORG
ejpam-6834	1378	2	k ≥ 1	ORG
ejpam-6834	1384	1	t. fujita	PERSON
ejpam-6834	1385	1	j. pure	PERSON
ejpam-6834	1385	2	18	CARDINAL
ejpam-6834	1385	3	4	CARDINAL
ejpam-6834	1385	4	2025	CARDINAL
ejpam-6834	1385	5	6834 52	DATE
ejpam-6834	1385	6	69	DATE
ejpam-6834	1385	7	∈	ORG
ejpam-6834	1387	1	1	CARDINAL
ejpam-6834	1388	1	30	CARDINAL
ejpam-6834	1391	1	⊆	CARDINAL
ejpam-6834	1392	1	1	CARDINAL
ejpam-6834	1392	2	1	CARDINAL
ejpam-6834	1392	3	1)-ary	CARDINAL
ejpam-6834	1392	4	1	CARDINAL
ejpam-6834	1392	5	1)-superhypersoft	ORG
ejpam-6834	1394	1	nonempty	CARDINAL
ejpam-6834	1394	2	1	CARDINAL
ejpam-6834	1395	1	31	CARDINAL
ejpam-6834	1399	1	2	CARDINAL
ejpam-6834	1399	2	1	CARDINAL
ejpam-6834	1399	3	2	CARDINAL
ejpam-6834	1399	4	2	CARDINAL
ejpam-6834	1401	1	2	CARDINAL
ejpam-6834	1401	2	2	CARDINAL
ejpam-6834	1402	1	γ(2	GPE
ejpam-6834	1402	2	∈	ORG
ejpam-6834	1403	1	2	CARDINAL
ejpam-6834	1403	2	2)-ary	DATE
ejpam-6834	1403	3	2	CARDINAL
ejpam-6834	1403	4	1)-superhypersoft	CARDINAL
ejpam-6834	1404	1	γ(2	GPE
ejpam-6834	1405	1	m2,m4	PERSON
ejpam-6834	1405	2	two	CARDINAL
ejpam-6834	1406	1	32	CARDINAL
ejpam-6834	1406	2	2	CARDINAL
ejpam-6834	1406	3	2)-ary	DATE
ejpam-6834	1406	4	2	CARDINAL
ejpam-6834	1406	5	1)-superhypersoft	DATE
ejpam-6834	1408	1	time-morning	TIME
ejpam-6834	1408	2	time-afternoon	TIME
ejpam-6834	1409	1	2	CARDINAL
ejpam-6834	1409	2	1	CARDINAL
ejpam-6834	1409	3	2	CARDINAL
ejpam-6834	1409	4	2	CARDINAL
ejpam-6834	1410	1	⊆	CARDINAL
ejpam-6834	1411	1	γ ⊆	ORG
ejpam-6834	1411	2	γ ̸=	ORG
ejpam-6834	1413	1	two	CARDINAL
ejpam-6834	1413	2	t. fujita	PERSON
ejpam-6834	1414	1	j. pure	PERSON
ejpam-6834	1414	2	18	CARDINAL
ejpam-6834	1414	3	4	CARDINAL
ejpam-6834	1414	4	2025	CARDINAL
ejpam-6834	1414	5	6834 53	DATE
ejpam-6834	1414	6	69 •	CARDINAL
ejpam-6834	1414	7	1	CARDINAL
ejpam-6834	1414	8	•	CARDINAL
ejpam-6834	1414	9	2	CARDINAL
ejpam-6834	1415	1	∈	ORG
ejpam-6834	1415	2	∈	ORG
ejpam-6834	1417	1	γpref	ORG
ejpam-6834	1417	2	⊆	CARDINAL
ejpam-6834	1418	1	one	CARDINAL
ejpam-6834	1418	2	afternoon	TIME
ejpam-6834	1418	3	friday	DATE
ejpam-6834	1419	1	∈	ORG
ejpam-6834	1419	2	p̃1(u	ORG
ejpam-6834	1419	3	2	CARDINAL
ejpam-6834	1420	1	γpref	NORP
ejpam-6834	1420	2	at least one	CARDINAL
ejpam-6834	1420	3	afternoon	TIME
ejpam-6834	1420	4	friday	DATE
ejpam-6834	1421	1	two	CARDINAL
ejpam-6834	1422	1	2	CARDINAL
ejpam-6834	1422	2	2)-ary	DATE
ejpam-6834	1422	3	2	CARDINAL
ejpam-6834	1422	4	1)-superhypersoft	ORG
ejpam-6834	1423	1	47	DATE
ejpam-6834	1424	1	fcl	CARDINAL
ejpam-6834	1426	1	1	CARDINAL
ejpam-6834	1428	1	1	CARDINAL
ejpam-6834	1429	1	1	CARDINAL
ejpam-6834	1429	2	1)-ary	CARDINAL
ejpam-6834	1429	3	1	CARDINAL
ejpam-6834	1429	4	1)-superhypersoft	DATE
ejpam-6834	1431	1	1	CARDINAL
ejpam-6834	1435	1	2	CARDINAL
ejpam-6834	1438	1	t. fujita	PERSON
ejpam-6834	1439	1	j. pure	PERSON
ejpam-6834	1439	2	18	CARDINAL
ejpam-6834	1439	3	4	CARDINAL
ejpam-6834	1439	4	2025	CARDINAL
ejpam-6834	1439	5	6834 54	DATE
ejpam-6834	1439	6	69 •	CARDINAL
ejpam-6834	1439	7	•	CARDINAL
ejpam-6834	1442	1	3	CARDINAL
ejpam-6834	1443	1	p+(s	ORG
ejpam-6834	1444	1	⋃ s∈a fcl(s	QUANTITY
ejpam-6834	1445	1	⋃ s∈a fcl(s	QUANTITY
ejpam-6834	1446	1	4	CARDINAL
ejpam-6834	1447	1	s ∈ s	ORG
ejpam-6834	1447	2	fcl(s	GPE
ejpam-6834	1448	1	fcl	CARDINAL
ejpam-6834	1449	1	7→	CARDINAL
ejpam-6834	1449	2	s∈a fcl(s	PERSON
ejpam-6834	1450	1	p̃1(u ⋆))1	ORG
ejpam-6834	1450	2	1	CARDINAL
ejpam-6834	1450	3	1)-ary	CARDINAL
ejpam-6834	1450	4	1	CARDINAL
ejpam-6834	1450	5	1)-superhypersoft	ORG
ejpam-6834	1451	1	48	DATE
ejpam-6834	1452	1	1 ≤	CARDINAL
ejpam-6834	1453	1	aij ∈ p̃m(s	PERSON
ejpam-6834	1454	1	ffix	PERSON
ejpam-6834	1456	1	aij	ORG
ejpam-6834	1457	1	ffix	PERSON
ejpam-6834	1457	2	k)-ary	DATE
ejpam-6834	1459	1	1	CARDINAL
ejpam-6834	1467	1	aij	ORG
ejpam-6834	1467	2	u = ℓ ∈	PERSON
ejpam-6834	1469	1	ffix	PERSON
ejpam-6834	1470	1	ιfix	GPE
ejpam-6834	1471	1	ffix	PERSON
ejpam-6834	1472	1	ffix	PERSON
ejpam-6834	1472	2	k)-ary	DATE
ejpam-6834	1473	1	t. fujita	PERSON
ejpam-6834	1474	1	j. pure	PERSON
ejpam-6834	1474	2	18	CARDINAL
ejpam-6834	1474	3	4	CARDINAL
ejpam-6834	1474	4	2025	CARDINAL
ejpam-6834	1474	5	6834 55	DATE
ejpam-6834	1474	6	69	CARDINAL
ejpam-6834	1474	7	49	DATE
ejpam-6834	1475	1	1 ≤	QUANTITY
ejpam-6834	1480	1	7→	CARDINAL
ejpam-6834	1481	1	bjs	PERSON
ejpam-6834	1483	1	bjr ∈	ORG
ejpam-6834	1486	1	50	CARDINAL
ejpam-6834	1487	1	f1	PERSON
ejpam-6834	1488	1	f1(a)j	NORP
ejpam-6834	1492	1	1	CARDINAL
ejpam-6834	1493	1	∈	ORG
ejpam-6834	1494	1	two	CARDINAL
ejpam-6834	1494	2	u	ORG
ejpam-6834	1495	1	n ⇒	ORG
ejpam-6834	1496	1	∈ p̃n+1(u	NORP
ejpam-6834	1499	1	j = 1	PERSON
ejpam-6834	1501	1	k	PERSON
ejpam-6834	1502	1	51	CARDINAL
ejpam-6834	1504	1	f1(a)j	PRODUCT
ejpam-6834	1504	2	∩	PRODUCT
ejpam-6834	1506	1	nonempty	ORG
ejpam-6834	1508	1	f1(a)j	PRODUCT
ejpam-6834	1508	2	1	CARDINAL
ejpam-6834	1508	3	two	CARDINAL
ejpam-6834	1509	1	n ⇒	ORG
ejpam-6834	1514	1	t. fujita	PERSON
ejpam-6834	1515	1	j. pure	PERSON
ejpam-6834	1515	2	18	CARDINAL
ejpam-6834	1515	3	4	CARDINAL
ejpam-6834	1515	4	2025	CARDINAL
ejpam-6834	1515	5	6834 56	DATE
ejpam-6834	1515	6	69	CARDINAL
ejpam-6834	1515	7	52	DATE
ejpam-6834	1517	1	1	CARDINAL
ejpam-6834	1518	1	1	CARDINAL
ejpam-6834	1520	1	∈	ORG
ejpam-6834	1520	2	∗	CARDINAL
ejpam-6834	1520	3	∗	CARDINAL
ejpam-6834	1527	1	1	CARDINAL
ejpam-6834	1528	1	1	CARDINAL
ejpam-6834	1528	2	∈	ORG
ejpam-6834	1530	1	∈	ORG
ejpam-6834	1533	1	∈	ORG
ejpam-6834	1535	1	53	DATE
ejpam-6834	1537	1	1	CARDINAL
ejpam-6834	1537	2	fcl	CARDINAL
ejpam-6834	1539	1	7→	CARDINAL
ejpam-6834	1540	1	fcl(s	NORP
ejpam-6834	1541	1	fcl(s	GPE
ejpam-6834	1543	1	fcl	ORG
ejpam-6834	1543	2	first	ORDINAL
ejpam-6834	1543	3	fcl	ORG
ejpam-6834	1544	1	two	CARDINAL
ejpam-6834	1545	1	54	DATE
ejpam-6834	1546	1	1	CARDINAL
ejpam-6834	1548	1	a′	ORG
ejpam-6834	1548	2	⊆	CARDINAL
ejpam-6834	1549	1	1	CARDINAL
ejpam-6834	1551	1	k.	PERSON
ejpam-6834	1551	2	a′	ORG
ejpam-6834	1551	3	∈	ORG
ejpam-6834	1551	4	⊆	CARDINAL
ejpam-6834	1551	5	a′	NORP
ejpam-6834	1551	6	1	CARDINAL
ejpam-6834	1554	1	t. fujita	PERSON
ejpam-6834	1555	1	j. pure	PERSON
ejpam-6834	1555	2	18	CARDINAL
ejpam-6834	1555	3	4	CARDINAL
ejpam-6834	1555	4	2025	CARDINAL
ejpam-6834	1555	5	6834 57	DATE
ejpam-6834	1555	6	69	CARDINAL
ejpam-6834	1556	1	a′	ORG
ejpam-6834	1556	2	one	CARDINAL
ejpam-6834	1559	1	a′ 1	LAW
ejpam-6834	1560	1	at+1	ORG
ejpam-6834	1561	1	1 ≤ t ≤	QUANTITY
ejpam-6834	1561	2	a(h	WORK_OF_ART
ejpam-6834	1561	3	⊆	CARDINAL
ejpam-6834	1561	4	a′	NORP
ejpam-6834	1563	1	j.	PERSON
ejpam-6834	1563	2	1	CARDINAL
ejpam-6834	1565	1	4.2	CARDINAL
ejpam-6834	1566	1	k)-ary	DATE
ejpam-6834	1570	1	∈	ORG
ejpam-6834	1571	1	⊆	CARDINAL
ejpam-6834	1571	2	p̃r+1(y	PERSON
ejpam-6834	1571	3	⊆	CARDINAL
ejpam-6834	1573	1	flatr+1(w	DATE
ejpam-6834	1573	2	⋃	DATE
ejpam-6834	1574	1	⊆	CARDINAL
ejpam-6834	1574	2	flatr(w1	CARDINAL
ejpam-6834	1575	1	flatr(w1 ∩w2	ORG
ejpam-6834	1575	2	⊆	CARDINAL
ejpam-6834	1575	3	flatr(w1	PRODUCT
ejpam-6834	1576	1	26	CARDINAL
ejpam-6834	1577	1	⊆	CARDINAL
ejpam-6834	1578	1	n, h	ORG
ejpam-6834	1578	2	k ≥ 1	ORG
ejpam-6834	1586	1	j. pure	PERSON
ejpam-6834	1586	2	18	CARDINAL
ejpam-6834	1586	3	4	CARDINAL
ejpam-6834	1586	4	2025	CARDINAL
ejpam-6834	1586	5	6834 58	DATE
ejpam-6834	1586	6	69	CARDINAL
ejpam-6834	1586	7	∈	ORG
ejpam-6834	1590	1	x.	GPE
ejpam-6834	1592	1	7−→	CARDINAL
ejpam-6834	1593	1	w	ORG
ejpam-6834	1594	1	⊆	CARDINAL
ejpam-6834	1595	1	⊆	CARDINAL
ejpam-6834	1598	1	1	CARDINAL
ejpam-6834	1599	1	w ⊆	ORG
ejpam-6834	1599	2	x.	ORG
ejpam-6834	1599	3	33	CARDINAL
ejpam-6834	1599	4	2-ary	DATE
ejpam-6834	1599	5	1	CARDINAL
ejpam-6834	1599	6	1	CARDINAL
ejpam-6834	1604	1	1	CARDINAL
ejpam-6834	1604	2	2	CARDINAL
ejpam-6834	1604	3	nonempty	CARDINAL
ejpam-6834	1606	1	j × j	PERSON
ejpam-6834	1609	1	2	CARDINAL
ejpam-6834	1609	2	1, 1)-superhyperrough	DATE
ejpam-6834	1610	1	34	CARDINAL
ejpam-6834	1610	2	2	CARDINAL
ejpam-6834	1610	3	2	CARDINAL
ejpam-6834	1614	1	t. fujita	ORG
ejpam-6834	1615	1	j. pure	PERSON
ejpam-6834	1615	2	18	CARDINAL
ejpam-6834	1615	3	4	CARDINAL
ejpam-6834	1615	4	2025	CARDINAL
ejpam-6834	1615	5	6834 59	DATE
ejpam-6834	1615	6	69	CARDINAL
ejpam-6834	1616	1	2	CARDINAL
ejpam-6834	1616	2	1	CARDINAL
ejpam-6834	1616	3	2	CARDINAL
ejpam-6834	1617	1	2	CARDINAL
ejpam-6834	1618	1	2	CARDINAL
ejpam-6834	1623	1	two	CARDINAL
ejpam-6834	1624	1	35	CARDINAL
ejpam-6834	1624	2	2	CARDINAL
ejpam-6834	1624	3	2)-ary	DATE
ejpam-6834	1624	4	2	CARDINAL
ejpam-6834	1626	1	six	CARDINAL
ejpam-6834	1627	1	⊆	CARDINAL
ejpam-6834	1634	1	sexpo	PERSON
ejpam-6834	1635	1	2	CARDINAL
ejpam-6834	1635	2	1	DATE
ejpam-6834	1635	3	2	DATE
ejpam-6834	1635	4	2	CARDINAL
ejpam-6834	1636	1	u ⊆ j	ORG
ejpam-6834	1636	2	γ ⊆	ORG
ejpam-6834	1636	3	γ ̸=	ORG
ejpam-6834	1637	1	two	CARDINAL
ejpam-6834	1637	2	aℓ,2	ORG
ejpam-6834	1637	3	∈	ORG
ejpam-6834	1640	1	two	CARDINAL
ejpam-6834	1640	2	•	CARDINAL
ejpam-6834	1640	3	1	CARDINAL
ejpam-6834	1640	4	•	CARDINAL
ejpam-6834	1640	5	2	CARDINAL
ejpam-6834	1645	1	t. fujita	PERSON
ejpam-6834	1646	1	j. pure	PERSON
ejpam-6834	1646	2	18	CARDINAL
ejpam-6834	1646	3	4	CARDINAL
ejpam-6834	1646	4	2025	CARDINAL
ejpam-6834	1646	5	6834 60	DATE
ejpam-6834	1646	6	69	CARDINAL
ejpam-6834	1647	1	7−→	CARDINAL
ejpam-6834	1647	2	one	CARDINAL
ejpam-6834	1651	1	1	CARDINAL
ejpam-6834	1653	1	w	ORG
ejpam-6834	1655	1	⊆	CARDINAL
ejpam-6834	1657	1	three	CARDINAL
ejpam-6834	1659	1	⊆	CARDINAL
ejpam-6834	1659	2	⊆	CARDINAL
ejpam-6834	1662	1	̸⊆	CARDINAL
ejpam-6834	1664	1	w	GPE
ejpam-6834	1665	1	2	CARDINAL
ejpam-6834	1665	2	2)-ary	DATE
ejpam-6834	1665	3	2	CARDINAL
ejpam-6834	1665	4	two	CARDINAL
ejpam-6834	1665	5	55	DATE
ejpam-6834	1667	1	fcl	ORG
ejpam-6834	1667	2	j → p(x	PERSON
ejpam-6834	1667	3	1	CARDINAL
ejpam-6834	1667	4	1)-ary	CARDINAL
ejpam-6834	1667	5	1	CARDINAL
ejpam-6834	1667	6	1)superhyperrough	CARDINAL
ejpam-6834	1669	1	1	CARDINAL
ejpam-6834	1670	1	1	CARDINAL
ejpam-6834	1670	2	1)-ary	CARDINAL
ejpam-6834	1670	3	1	CARDINAL
ejpam-6834	1671	1	1	CARDINAL
ejpam-6834	1674	1	56	CARDINAL
ejpam-6834	1675	1	1 ≤	CARDINAL
ejpam-6834	1676	1	ir ≤ k	PERSON
ejpam-6834	1676	2	∈	ORG
ejpam-6834	1676	3	k−r −→ d k	PERSON
ejpam-6834	1676	4	ι(δ1	NORP
ejpam-6834	1681	1	k−r	PERSON
ejpam-6834	1681	2	k −	ORG
ejpam-6834	1682	1	t. fujita	PERSON
ejpam-6834	1683	1	j. pure	PERSON
ejpam-6834	1683	2	18	CARDINAL
ejpam-6834	1683	3	4	CARDINAL
ejpam-6834	1683	4	2025	CARDINAL
ejpam-6834	1683	5	6834 61	DATE
ejpam-6834	1683	6	69	CARDINAL
ejpam-6834	1685	1	k − r. theorem 57	PERSON
ejpam-6834	1686	1	f1	PERSON
ejpam-6834	1689	1	f1	PERSON
ejpam-6834	1689	2	f1	PERSON
ejpam-6834	1691	1	two	CARDINAL
ejpam-6834	1694	1	58	DATE
ejpam-6834	1696	1	nonempty	ORG
ejpam-6834	1698	1	⊆	CARDINAL
ejpam-6834	1698	2	⊆	CARDINAL
ejpam-6834	1698	3	f1 ∩	PERSON
ejpam-6834	1698	4	⊆	CARDINAL
ejpam-6834	1699	1	three	CARDINAL
ejpam-6834	1701	1	two	CARDINAL
ejpam-6834	1704	1	59	CARDINAL
ejpam-6834	1705	1	γ	GPE
ejpam-6834	1706	1	⊆	CARDINAL
ejpam-6834	1706	2	⊆	CARDINAL
ejpam-6834	1706	3	⊆	CARDINAL
ejpam-6834	1708	1	⊆	CARDINAL
ejpam-6834	1709	1	⊆	CARDINAL
ejpam-6834	1710	1	⊆	CARDINAL
ejpam-6834	1710	2	⊆	CARDINAL
ejpam-6834	1710	3	∈	ORG
ejpam-6834	1714	1	t. fujita	PERSON
ejpam-6834	1715	1	j. pure	PERSON
ejpam-6834	1715	2	18	CARDINAL
ejpam-6834	1715	3	4	CARDINAL
ejpam-6834	1715	4	2025	CARDINAL
ejpam-6834	1715	5	6834 62	DATE
ejpam-6834	1715	6	69	CARDINAL
ejpam-6834	1715	7	60	CARDINAL
ejpam-6834	1718	1	∈	ORG
ejpam-6834	1719	1	1	CARDINAL
ejpam-6834	1719	2	7→	CARDINAL
ejpam-6834	1721	1	∗	CARDINAL
ejpam-6834	1729	1	⊆	CARDINAL
ejpam-6834	1730	1	⊆	CARDINAL
ejpam-6834	1736	1	wx	PERSON
ejpam-6834	1737	1	⊆	CARDINAL
ejpam-6834	1737	2	wy	GPE
ejpam-6834	1738	1	∈	ORG
ejpam-6834	1738	2	⊆	CARDINAL
ejpam-6834	1738	3	wx	ORG
ejpam-6834	1741	1	⊆	CARDINAL
ejpam-6834	1741	2	wy	GPE
ejpam-6834	1741	3	f(x	ORG
ejpam-6834	1741	4	first	ORDINAL
ejpam-6834	1742	1	∈	ORG
ejpam-6834	1742	2	wy = f(wx	ORG
ejpam-6834	1742	3	f(x	ORG
ejpam-6834	1744	1	5	CARDINAL
ejpam-6834	1744	2	two	CARDINAL
ejpam-6834	1744	3	k)–ary	GPE
ejpam-6834	1745	1	6	CARDINAL
ejpam-6834	1748	1	k)–ary	NORP
ejpam-6834	1749	1	the (h, k)-ary (m	ORG
ejpam-6834	1749	2	t. fujita	PERSON
ejpam-6834	1750	1	j. pure	PERSON
ejpam-6834	1750	2	18	CARDINAL
ejpam-6834	1750	3	4	CARDINAL
ejpam-6834	1750	4	2025	CARDINAL
ejpam-6834	1750	5	6834 63	DATE
ejpam-6834	1750	6	69	CARDINAL
ejpam-6834	1750	7	6	CARDINAL
ejpam-6834	1750	8	0	CARDINAL
ejpam-6834	1750	9	1	CARDINAL
ejpam-6834	1751	1	k)-ary	DATE
ejpam-6834	1752	1	k)-ary	DATE
ejpam-6834	1752	2	pcf	ORG
ejpam-6834	1754	1	k)-ary	DATE
ejpam-6834	1755	1	•	CARDINAL
ejpam-6834	1755	2	•	CARDINAL
ejpam-6834	1756	1	70	CARDINAL
ejpam-6834	1756	2	71	DATE
ejpam-6834	1756	3	30	CARDINAL
ejpam-6834	1756	4	72	DATE
ejpam-6834	1756	5	73	CARDINAL
ejpam-6834	1756	6	32	CARDINAL
ejpam-6834	1756	7	74	CARDINAL
ejpam-6834	1764	1	t. fujita	PERSON
ejpam-6834	1765	1	j. pure	PERSON
ejpam-6834	1765	2	18	CARDINAL
ejpam-6834	1765	3	4	CARDINAL
ejpam-6834	1765	4	2025	CARDINAL
ejpam-6834	1765	5	6834 64	DATE
ejpam-6834	1765	6	69	CARDINAL
ejpam-6834	1769	1	mathematica	PERSON
ejpam-6834	1779	1	t. fujita	GPE
ejpam-6834	1780	1	j. pure	PERSON
ejpam-6834	1780	2	18	CARDINAL
ejpam-6834	1780	3	4	CARDINAL
ejpam-6834	1780	4	2025	CARDINAL
ejpam-6834	1780	5	6834 65	DATE
ejpam-6834	1784	1	english	LANGUAGE
ejpam-6834	1786	1	1	CARDINAL
ejpam-6834	1788	1	biblio publishing	ORG
ejpam-6834	1788	2	2025	CARDINAL
ejpam-6834	1789	1	2	CARDINAL
ejpam-6834	1791	1	2017	DATE
ejpam-6834	1792	1	3	CARDINAL
ejpam-6834	1792	2	thomas jech	PERSON
ejpam-6834	1793	1	third	ORDINAL
ejpam-6834	1794	1	2003	DATE
ejpam-6834	1795	1	4	CARDINAL
ejpam-6834	1795	2	florentin smarandache	PERSON
ejpam-6834	1797	1	91:337–380	CARDINAL
ejpam-6834	1797	2	2025	DATE
ejpam-6834	1798	1	5	CARDINAL
ejpam-6834	1798	2	zadeh	ORG
ejpam-6834	1799	1	8(3):338–353	CARDINAL
ejpam-6834	1799	2	1965	DATE
ejpam-6834	1800	1	6	CARDINAL
ejpam-6834	1801	1	283	CARDINAL
ejpam-6834	1802	1	2012	DATE
ejpam-6834	1803	1	7	CARDINAL
ejpam-6834	1803	2	daniel j buehrer	PERSON
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ejpam-6834	1805	2	1993	DATE
ejpam-6834	1806	1	8	CARDINAL
ejpam-6834	1806	2	pradip kumar maji	PERSON
ejpam-6834	1806	3	ranjit biswas	PERSON
ejpam-6834	1806	4	ranjan roy	PERSON
ejpam-6834	1806	5	soft	PERSON
ejpam-6834	1807	1	45(4-5):555–562, 2003	DATE
ejpam-6834	1808	1	9	CARDINAL
ejpam-6834	1810	1	international journal of computer & information sciences	ORG
ejpam-6834	1810	2	11:341–356, 1982	DATE
ejpam-6834	1811	1	10] florentin	QUANTITY
ejpam-6834	1814	1	american research press	ORG
ejpam-6834	1814	2	1999	DATE
ejpam-6834	1815	1	11	CARDINAL
ejpam-6834	1815	2	g muhiuddin	PERSON
ejpam-6834	1815	3	mohamed e elnair	PERSON
ejpam-6834	1815	4	satham hussain	PERSON
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ejpam-6834	1817	1	85:899–918	CARDINAL
ejpam-6834	1817	2	2025	DATE
ejpam-6834	1818	1	t. fujita	PERSON
ejpam-6834	1819	1	j. pure	PERSON
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ejpam-6834	1819	4	2025	CARDINAL
ejpam-6834	1819	5	6834 66	DATE
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ejpam-6834	1820	1	12	CARDINAL
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ejpam-6834	1822	2	18(2):5845–5845	CARDINAL
ejpam-6834	1822	3	2025	DATE
ejpam-6834	1823	1	13	CARDINAL
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ejpam-6834	1825	2	18(3):6221–6221	CARDINAL
ejpam-6834	1825	3	2025	DATE
ejpam-6834	1826	1	14	CARDINAL
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ejpam-6834	1826	8	cris l armada	PERSON
ejpam-6834	1826	9	arif mehmood khattak	PERSON
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ejpam-6834	1828	2	2025	DATE
ejpam-6834	1829	1	15	CARDINAL
ejpam-6834	1830	1	plithogeny	NORP
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ejpam-6834	1832	1	16	CARDINAL
ejpam-6834	1832	2	yasuo narukawa	PERSON
ejpam-6834	1834	1	2009	DATE
ejpam-6834	1834	2	1378–1382	CARDINAL
ejpam-6834	1835	1	2009	DATE
ejpam-6834	1836	1	17	CARDINAL
ejpam-6834	1836	2	muhammad akram	PERSON
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ejpam-6834	1838	2	2020	DATE
ejpam-6834	1839	1	18	CARDINAL
ejpam-6834	1841	1	journal of intelligent &	ORG
ejpam-6834	1841	2	39(5):5981–5986	CARDINAL
ejpam-6834	1841	3	2020	DATE
ejpam-6834	1842	1	19	CARDINAL
ejpam-6834	1842	2	jilin yang	PERSON
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ejpam-6834	1845	1	j. approx	PERSON
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ejpam-6834	1846	3	2022	CARDINAL
ejpam-6834	1847	1	20	CARDINAL
ejpam-6834	1847	2	salvatore greco	PERSON
ejpam-6834	1848	1	387–411	CARDINAL
ejpam-6834	1848	2	2015	DATE
ejpam-6834	1849	1	21	CARDINAL
ejpam-6834	1849	2	mohamed abdel-basset	PERSON
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ejpam-6834	1849	6	abdel nasser h.	PERSON
ejpam-6834	1851	1	101:101735	DATE
ejpam-6834	1851	2	2019	DATE
ejpam-6834	1852	1	22	CARDINAL
ejpam-6834	1852	2	jianqiang wang	PERSON
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ejpam-6834	1854	2	2016	DATE
ejpam-6834	1855	1	23	CARDINAL
ejpam-6834	1855	2	arif mehmood	PERSON
ejpam-6834	1855	3	arkan	ORG
ejpam-6834	1857	1	2(1):223–238	DATE
ejpam-6834	1857	2	2025	DATE
ejpam-6834	1858	1	24	CARDINAL
ejpam-6834	1858	2	kamal hossain gazi	PERSON
ejpam-6834	1858	3	bhaduri	GPE
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ejpam-6834	1860	2	t. fujita	GPE
ejpam-6834	1861	1	j. pure	PERSON
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ejpam-6834	1861	3	4	CARDINAL
ejpam-6834	1861	4	2025	CARDINAL
ejpam-6834	1861	5	6834 67	DATE
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ejpam-6834	1861	7	2025	DATE
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ejpam-6834	1864	2	2025	DATE
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ejpam-6834	1865	2	al tahan	PERSON
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ejpam-6834	1867	1	iranian	NORP
ejpam-6834	1867	2	9(1):65–75	DATE
ejpam-6834	1867	3	2018	DATE
ejpam-6834	1868	1	27	CARDINAL
ejpam-6834	1868	2	madeleine al-tahan	PERSON
ejpam-6834	1868	3	bijan davvaz	PERSON
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ejpam-6834	1868	5	osman anis	PERSON
ejpam-6834	1870	1	13(4):535	DATE
ejpam-6834	1870	2	2021	CARDINAL
ejpam-6834	1871	1	28	CARDINAL
ejpam-6834	1873	1	2024	DATE
ejpam-6834	1874	1	29	CARDINAL
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ejpam-6834	1876	1	2025	DATE
ejpam-6834	1877	1	30	CARDINAL
ejpam-6834	1877	2	claude berge	PERSON
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ejpam-6834	1878	2	45	CARDINAL
ejpam-6834	1879	1	1984	DATE
ejpam-6834	1880	1	31	CARDINAL
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ejpam-6834	1886	1	today	DATE
ejpam-6834	1887	1	2022	CARDINAL
ejpam-6834	1888	1	33	CARDINAL
ejpam-6834	1888	2	mohammed alqahtani	PERSON
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ejpam-6834	1890	3	2025	DATE
ejpam-6834	1891	1	34	CARDINAL
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ejpam-6834	1893	1	2023	CARDINAL
ejpam-6834	1893	2	25	CARDINAL
ejpam-6834	1893	3	2023	CARDINAL
ejpam-6834	1894	1	35	CARDINAL
ejpam-6834	1896	1	2022	CARDINAL
ejpam-6834	1897	1	36	CARDINAL
ejpam-6834	1898	1	chemical hyperstructures	ORG
ejpam-6834	1898	2	shv	ORG
ejpam-6834	1899	1	2025	CARDINAL
ejpam-6834	1900	1	37	CARDINAL
ejpam-6834	1902	1	2025	CARDINAL
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ejpam-6834	1905	1	2020	DATE
ejpam-6834	1906	1	39	CARDINAL
ejpam-6834	1908	1	2020	DATE
ejpam-6834	1909	1	40	CARDINAL
ejpam-6834	1911	1	22(1):168–170	CARDINAL
ejpam-6834	1911	2	2018	DATE
ejpam-6834	1912	1	41	CARDINAL
ejpam-6834	1912	2	florentin smarandache	PERSON
ejpam-6834	1913	1	82:817	DATE
ejpam-6834	1913	2	843	CARDINAL
ejpam-6834	1913	3	2025	DATE
ejpam-6834	1914	1	42	CARDINAL
ejpam-6834	1914	2	florentin smarandache	PERSON
ejpam-6834	1916	1	european	NORP
ejpam-6834	1916	2	t. fujita	GPE
ejpam-6834	1917	1	j. pure	PERSON
ejpam-6834	1917	2	18	CARDINAL
ejpam-6834	1917	3	4	CARDINAL
ejpam-6834	1917	4	2025	CARDINAL
ejpam-6834	1917	5	6834 68	DATE
ejpam-6834	1917	6	69	CARDINAL
ejpam-6834	1917	7	18(3):6607–6607	CARDINAL
ejpam-6834	1917	8	2025	DATE
ejpam-6834	1918	1	43	CARDINAL
ejpam-6834	1920	1	2:14–36	CARDINAL
ejpam-6834	1920	2	2025	DATE
ejpam-6834	1921	1	44	CARDINAL
ejpam-6834	1921	2	florentin smarandache	PERSON
ejpam-6834	1923	1	80:609–631	CARDINAL
ejpam-6834	1923	2	2025	DATE
ejpam-6834	1924	1	45	CARDINAL
ejpam-6834	1924	2	florentin smarandache	PERSON
ejpam-6834	1925	1	7	CARDINAL
ejpam-6834	1926	1	2025	CARDINAL
ejpam-6834	1927	1	46	CARDINAL
ejpam-6834	1928	1	superhyperplithogenic cubic	FAC
ejpam-6834	1929	1	79	CARDINAL
ejpam-6834	1929	2	2025	DATE
ejpam-6834	1930	1	47	CARDINAL
ejpam-6834	1931	1	linear programming:	ORG
ejpam-6834	1932	1	2(3):127–140	CARDINAL
ejpam-6834	1932	2	2025	DATE
ejpam-6834	1933	1	48	CARDINAL
ejpam-6834	1933	2	john t rickard	PERSON
ejpam-6834	1933	3	janet aisbett	PERSON
ejpam-6834	1933	4	j tyler rickard	PERSON
ejpam-6834	1935	1	2024	DATE
ejpam-6834	1936	1	49	CARDINAL
ejpam-6834	1936	2	f. smarandache	PERSON
ejpam-6834	1938	1	algebraic hyperstructures	PERSON
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ejpam-6834	1938	3	2022	CARDINAL
ejpam-6834	1939	1	50	CARDINAL
ejpam-6834	1941	1	science & philosophy	ORG
ejpam-6834	1941	2	8(2):157–163	CARDINAL
ejpam-6834	1941	3	2020	DATE
ejpam-6834	1942	1	51	CARDINAL
ejpam-6834	1944	1	2020	DATE
ejpam-6834	1945	1	52	CARDINAL
ejpam-6834	1945	2	bijan davvaz	PERSON
ejpam-6834	1945	3	thomas vougiouklis	PERSON
ejpam-6834	1947	1	2018	DATE
ejpam-6834	1948	1	53	CARDINAL
ejpam-6834	1950	1	416	CARDINAL
ejpam-6834	1950	2	2025	DATE
ejpam-6834	1951	1	54	CARDINAL
ejpam-6834	1951	2	talal ali al-hawary	PERSON
ejpam-6834	1953	1	mathematica	PERSON
ejpam-6834	1953	2	47	DATE
ejpam-6834	1953	3	2023	CARDINAL
ejpam-6834	1954	1	55	CARDINAL
ejpam-6834	1954	2	talal al-hawary	PERSON
ejpam-6834	1956	1	4:26, 2011	DATE
ejpam-6834	1957	1	56	CARDINAL
ejpam-6834	1959	1	2018	DATE
ejpam-6834	1960	1	57	CARDINAL
ejpam-6834	1960	2	yong lin liu	PERSON
ejpam-6834	1960	3	kim	PERSON
ejpam-6834	1960	4	j. neggers	PERSON
ejpam-6834	1962	1	j. intell	PERSON
ejpam-6834	1963	1	syst	LOC
ejpam-6834	1963	2	33:1553–1562	CARDINAL
ejpam-6834	1963	3	2017	DATE
ejpam-6834	1964	1	58	CARDINAL
ejpam-6834	1964	2	florentin smarandache	PERSON
ejpam-6834	1966	1	2025	DATE
ejpam-6834	1967	1	59	CARDINAL
ejpam-6834	1967	2	bae	ORG
ejpam-6834	1967	3	kul hur	ORG
ejpam-6834	1967	4	kyoung ja lee	PERSON
ejpam-6834	1967	5	hyperfuzzy subalgebras	PERSON
ejpam-6834	1968	1	2017	DATE
ejpam-6834	1969	1	60	CARDINAL
ejpam-6834	1969	2	kumar samanta	PERSON
ejpam-6834	1971	1	t. fujita	PERSON
ejpam-6834	1972	1	j. pure	PERSON
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ejpam-6834	1972	3	4	CARDINAL
ejpam-6834	1972	4	2025	CARDINAL
ejpam-6834	1972	5	6834 69	DATE
ejpam-6834	1972	6	69	CARDINAL
ejpam-6834	1973	1	j. adv	PERSON
ejpam-6834	1974	1	sci	ORG
ejpam-6834	1974	2	technol	PERSON
ejpam-6834	1974	3	41:27–37,	DATE
ejpam-6834	1974	4	2012	DATE
ejpam-6834	1975	1	61	CARDINAL
ejpam-6834	1975	2	seok-zun song	ORG
ejpam-6834	1975	3	jeong kim	PERSON
ejpam-6834	1975	4	bae	ORG
ejpam-6834	1976	1	5(4):81	CARDINAL
ejpam-6834	1976	2	2017	DATE
ejpam-6834	1977	1	62	CARDINAL
ejpam-6834	1979	1	1998	DATE
ejpam-6834	1980	1	63	CARDINAL
ejpam-6834	1980	2	haibin wang	PERSON
ejpam-6834	1980	3	florentin smarandache	PERSON
ejpam-6834	1980	4	yanqing zhang	PERSON
ejpam-6834	1980	5	rajshekhar sunderraman	PERSON
ejpam-6834	1982	1	2010	DATE
ejpam-6834	1983	1	64	CARDINAL
ejpam-6834	1983	2	florentin smarandache	PERSON
ejpam-6834	1985	1	2:11–22	CARDINAL
ejpam-6834	1985	2	2025	DATE
ejpam-6834	1986	1	65	CARDINAL
ejpam-6834	1988	1	2018	DATE
ejpam-6834	1989	1	66	CARDINAL
ejpam-6834	1989	2	nehmat ahmed	PERSON
ejpam-6834	1989	3	osama t. pirbal	PERSON
ejpam-6834	1991	1	european journal	ORG
ejpam-6834	1991	2	2024	DATE
ejpam-6834	1992	1	67	CARDINAL
ejpam-6834	1993	1	forest hyperplithogenic	ORG
ejpam-6834	1994	1	2025	DATE
ejpam-6834	1995	1	68	CARDINAL
ejpam-6834	1995	2	florentin smarandache	PERSON
ejpam-6834	1996	1	2025	DATE
ejpam-6834	1997	1	69	CARDINAL
ejpam-6834	1997	2	dmitriy molodtsov	PERSON
ejpam-6834	1998	1	first	ORDINAL
ejpam-6834	1999	1	37(4-5):19–31, 1999	DATE
ejpam-6834	2000	1	70	CARDINAL
ejpam-6834	2002	1	2023	CARDINAL
ejpam-6834	2003	1	71	CARDINAL
ejpam-6834	2003	2	maissam jdid	PERSON
ejpam-6834	2003	3	florentin smarandache	PRODUCT
ejpam-6834	2003	4	fujita	ORG
ejpam-6834	2005	1	87:1–11	CARDINAL
ejpam-6834	2005	2	2025	DATE
ejpam-6834	2006	1	72	CARDINAL
ejpam-6834	2006	2	muhammad akram	PERSON
ejpam-6834	2006	3	gulfam shahzadi	PERSON
ejpam-6834	2007	1	hypergraphs	ORG
ejpam-6834	2008	1	6(2):28, 2018	DATE
ejpam-6834	2009	1	73	CARDINAL
ejpam-6834	2009	2	yifan feng	PERSON
ejpam-6834	2009	3	zizhao zhang	PERSON
ejpam-6834	2009	4	yue gao	PERSON
ejpam-6834	2011	1	33	CARDINAL
ejpam-6834	2011	2	3558–3565	CARDINAL
ejpam-6834	2011	3	2019	DATE
ejpam-6834	2012	1	74	CARDINAL
ejpam-6834	2012	2	florentin smarandache	PERSON
ejpam-6834	2014	1	77:548–593	CARDINAL
ejpam-6834	2014	2	2024	DATE