id	sid	eid	entity	type
ejpam-5611	1	1	european journal	ORG
ejpam-5611	1	2	2025	DATE
ejpam-5611	1	3	18	CARDINAL
ejpam-5611	1	4	2	CARDINAL
ejpam-5611	1	5	5611	CARDINAL
ejpam-5611	1	6	new york	GPE
ejpam-5611	1	7	greig bates c. flores1,∗	PERSON
ejpam-5611	1	8	ann leslie v.	PERSON
ejpam-5611	1	9	flores1 1	LAW
ejpam-5611	1	10	central mindanao university	ORG
ejpam-5611	1	11	bukidnon	GPE
ejpam-5611	1	12	philippines	GPE
ejpam-5611	5	1	2020	DATE
ejpam-5611	5	2	28b05	CARDINAL
ejpam-5611	5	3	26a39	DATE
ejpam-5611	5	4	32c09	CARDINAL
ejpam-5611	5	5	saks-henstock 1	ORG
ejpam-5611	6	1	riemann	PERSON
ejpam-5611	10	1	one	CARDINAL
ejpam-5611	11	1	1	CARDINAL
ejpam-5611	11	2	manifolds	ORG
ejpam-5611	12	1	2	CARDINAL
ejpam-5611	12	2	3	CARDINAL
ejpam-5611	12	3	manifolds	ORG
ejpam-5611	14	1	g. flores	PERSON
ejpam-5611	14	2	f.annleslie.flores@cmu.edu.ph	CARDINAL
ejpam-5611	14	3	a. flores	PERSON
ejpam-5611	15	1	1	CARDINAL
ejpam-5611	15	2	2025	CARDINAL
ejpam-5611	16	1	g. flores	PERSON
ejpam-5611	16	2	a. flores	PERSON
ejpam-5611	17	1	j. pure	PERSON
ejpam-5611	17	2	18	CARDINAL
ejpam-5611	17	3	2	CARDINAL
ejpam-5611	17	4	2025	CARDINAL
ejpam-5611	17	5	5611	DATE
ejpam-5611	17	6	2	CARDINAL
ejpam-5611	17	7	16	CARDINAL
ejpam-5611	20	1	1	CARDINAL
ejpam-5611	20	2	2	CARDINAL
ejpam-5611	20	3	0	CARDINAL
ejpam-5611	20	4	1	CARDINAL
ejpam-5611	24	1	supp	GPE
ejpam-5611	24	2	⊆ ii	MONEY
ejpam-5611	26	1	benitez	PERSON
ejpam-5611	27	1	4	CARDINAL
ejpam-5611	27	2	5	CARDINAL
ejpam-5611	29	1	2	CARDINAL
ejpam-5611	31	1	1	CARDINAL
ejpam-5611	32	1	3	CARDINAL
ejpam-5611	34	1	s(f	ORG
ejpam-5611	35	1	1	CARDINAL
ejpam-5611	35	2	2	DATE
ejpam-5611	36	1	s(f	ORG
ejpam-5611	40	1	g. flores	PERSON
ejpam-5611	40	2	a. flores	PERSON
ejpam-5611	41	1	j. pure	PERSON
ejpam-5611	41	2	18	CARDINAL
ejpam-5611	41	3	2	CARDINAL
ejpam-5611	41	4	2025	CARDINAL
ejpam-5611	41	5	5611 3	DATE
ejpam-5611	41	6	16	CARDINAL
ejpam-5611	41	7	2	CARDINAL
ejpam-5611	42	1	4	CARDINAL
ejpam-5611	44	1	0	CARDINAL
ejpam-5611	46	1	3	CARDINAL
ejpam-5611	47	1	6	CARDINAL
ejpam-5611	47	2	∣∣∆g([u	ORG
ejpam-5611	48	1	g(t	NORP
ejpam-5611	49	1	k=1	PERSON
ejpam-5611	49	2	v[u	PRODUCT
ejpam-5611	49	3	∏n	DATE
ejpam-5611	49	4	k=1[uk	GPE
ejpam-5611	53	1	1	CARDINAL
ejpam-5611	53	2	2	CARDINAL
ejpam-5611	53	3	∆g([u1	LOC
ejpam-5611	54	1	∆g([u1	LOC
ejpam-5611	55	1	1	CARDINAL
ejpam-5611	57	1	4	CARDINAL
ejpam-5611	58	1	second	ORDINAL
ejpam-5611	59	1	5	CARDINAL
ejpam-5611	62	1	ϕ(p	GPE
ejpam-5611	63	1	0	CARDINAL
ejpam-5611	65	1	6	CARDINAL
ejpam-5611	66	1	second	ORDINAL
ejpam-5611	67	1	2	CARDINAL
ejpam-5611	68	1	7	CARDINAL
ejpam-5611	68	2	1rn	ORDINAL
ejpam-5611	68	3	1rn	ORDINAL
ejpam-5611	69	1	topological	ORG
ejpam-5611	71	1	g. flores	PERSON
ejpam-5611	71	2	a. flores	PERSON
ejpam-5611	72	1	j. pure	PERSON
ejpam-5611	72	2	18	CARDINAL
ejpam-5611	72	3	2	CARDINAL
ejpam-5611	72	4	2025	CARDINAL
ejpam-5611	72	5	5611	DATE
ejpam-5611	72	6	4	CARDINAL
ejpam-5611	72	7	1	CARDINAL
ejpam-5611	73	1	e∗	ORG
ejpam-5611	73	2	u → ψ(u	ORG
ejpam-5611	74	1	⊆	CARDINAL
ejpam-5611	74	2	φ	ORG
ejpam-5611	78	1	φ	ORG
ejpam-5611	78	2	r.	NORP
ejpam-5611	78	3	0	CARDINAL
ejpam-5611	78	4	0	CARDINAL
ejpam-5611	78	5	2	CARDINAL
ejpam-5611	79	1	3.1	CARDINAL
ejpam-5611	80	1	d′	PERSON
ejpam-5611	80	2	d′	PERSON
ejpam-5611	81	1	2	CARDINAL
ejpam-5611	82	1	3.2	CARDINAL
ejpam-5611	84	1	⊆	CARDINAL
ejpam-5611	86	1	∈	ORG
ejpam-5611	86	2	0	CARDINAL
ejpam-5611	87	1	∈	ORG
ejpam-5611	88	1	η	GPE
ejpam-5611	89	1	η	GPE
ejpam-5611	90	1	3.3	CARDINAL
ejpam-5611	90	2	ψ(j	PERSON
ejpam-5611	90	3	3.3	CARDINAL
ejpam-5611	90	4	ψ(η	GPE
ejpam-5611	90	5	ψ(j	PERSON
ejpam-5611	90	6	3.1	CARDINAL
ejpam-5611	90	7	2	CARDINAL
ejpam-5611	91	1	− ∑ d0 φ(ψ(η	PERSON
ejpam-5611	91	2	∆g(ψ(j	PERSON
ejpam-5611	91	3	∣∣∣∣ g. flores	PERSON
ejpam-5611	91	4	a. flores	PERSON
ejpam-5611	92	1	j. pure	PERSON
ejpam-5611	92	2	18	CARDINAL
ejpam-5611	92	3	2	CARDINAL
ejpam-5611	92	4	2025	CARDINAL
ejpam-5611	92	5	5611 5	DATE
ejpam-5611	92	6	16	CARDINAL
ejpam-5611	93	1	∆g◦ψ(j	PERSON
ejpam-5611	93	2	3.4	CARDINAL
ejpam-5611	94	1	2	CARDINAL
ejpam-5611	95	1	3.5	CARDINAL
ejpam-5611	95	2	3.4	CARDINAL
ejpam-5611	95	3	3.5	CARDINAL
ejpam-5611	95	4	0 ≤	MONEY
ejpam-5611	99	1	2	CARDINAL
ejpam-5611	102	1	1	CARDINAL
ejpam-5611	106	1	rm	GPE
ejpam-5611	107	1	u → ψ(u	ORG
ejpam-5611	107	2	⊆	CARDINAL
ejpam-5611	107	3	⊆	CARDINAL
ejpam-5611	111	1	detψ| · χψ−1([a	ORG
ejpam-5611	114	1	f. proof	PERSON
ejpam-5611	114	2	0	CARDINAL
ejpam-5611	117	1	g. flores	PERSON
ejpam-5611	117	2	a. flores	PERSON
ejpam-5611	118	1	j. pure	PERSON
ejpam-5611	118	2	18	CARDINAL
ejpam-5611	118	3	2	CARDINAL
ejpam-5611	118	4	2025	CARDINAL
ejpam-5611	118	5	5611	DATE
ejpam-5611	118	6	6	CARDINAL
ejpam-5611	118	7	16	DATE
ejpam-5611	118	8	φ	ORG
ejpam-5611	121	1	⊆	CARDINAL
ejpam-5611	122	1	δ(u	ORG
ejpam-5611	123	1	⊆	CARDINAL
ejpam-5611	123	2	2 √	CARDINAL
ejpam-5611	123	3	3.6	CARDINAL
ejpam-5611	123	4	1 ≤	MONEY
ejpam-5611	123	5	δ(u	ORG
ejpam-5611	124	1	⊆	CARDINAL
ejpam-5611	125	1	3.7	CARDINAL
ejpam-5611	125	2	φ	PERSON
ejpam-5611	125	3	φ	PERSON
ejpam-5611	125	4	∈	ORG
ejpam-5611	127	1	ik	GPE
ejpam-5611	128	1	k ∈	PERSON
ejpam-5611	128	2	+ 1	DATE
ejpam-5611	128	3	+ 2	DATE
ejpam-5611	128	4	∈	ORG
ejpam-5611	128	5	0	CARDINAL
ejpam-5611	129	1	supp	GPE
ejpam-5611	129	2	⊆	CARDINAL
ejpam-5611	129	3	⊆	CARDINAL
ejpam-5611	129	4	δ(ξk	ORG
ejpam-5611	129	5	supp	GPE
ejpam-5611	129	6	⊆	CARDINAL
ejpam-5611	129	7	δ(ξk	ORG
ejpam-5611	131	1	3.7	CARDINAL
ejpam-5611	131	2	supp	GPE
ejpam-5611	131	3	⊆	CARDINAL
ejpam-5611	131	4	δ(ξk	ORG
ejpam-5611	133	1	⊆ e \ψ−1([a	QUANTITY
ejpam-5611	133	2	supp	GPE
ejpam-5611	133	3	∩ ψ−1([a	ORG
ejpam-5611	133	4	∈	ORG
ejpam-5611	134	1	+ 1	DATE
ejpam-5611	134	2	+ 2	DATE
ejpam-5611	134	3	s.	PERSON
ejpam-5611	134	4	∈	ORG
ejpam-5611	137	1	k=1	NORP
ejpam-5611	137	2	k=1 φk(x	PERSON
ejpam-5611	139	1	k=1 φk(x	PERSON
ejpam-5611	140	1	1	CARDINAL
ejpam-5611	140	2	2	DATE
ejpam-5611	140	3	ψ(ξk	ORG
ejpam-5611	142	1	2 √	CARDINAL
ejpam-5611	142	2	⊆	CARDINAL
ejpam-5611	143	1	g. flores	PERSON
ejpam-5611	143	2	a. flores	PERSON
ejpam-5611	144	1	j. pure	PERSON
ejpam-5611	144	2	18	CARDINAL
ejpam-5611	144	3	2	CARDINAL
ejpam-5611	144	4	2025	CARDINAL
ejpam-5611	144	5	5611	DATE
ejpam-5611	144	6	7	CARDINAL
ejpam-5611	144	7	16	CARDINAL
ejpam-5611	144	8	∈	ORG
ejpam-5611	144	9	χ[a	PERSON
ejpam-5611	144	10	1	CARDINAL
ejpam-5611	144	11	2	DATE
ejpam-5611	145	1	0	CARDINAL
ejpam-5611	146	1	3.6	CARDINAL
ejpam-5611	146	2	⊆	CARDINAL
ejpam-5611	146	3	⊆	CARDINAL
ejpam-5611	146	4	δ(ξk	ORG
ejpam-5611	147	1	⊆	CARDINAL
ejpam-5611	147	2	ψ(ξk	ORG
ejpam-5611	147	3	2 √	CARDINAL
ejpam-5611	148	1	∈	ORG
ejpam-5611	148	2	ψ(ξk	ORG
ejpam-5611	149	1	2 √	CARDINAL
ejpam-5611	150	1	1	CARDINAL
ejpam-5611	150	2	2	DATE
ejpam-5611	150	3	supp	PERSON
ejpam-5611	150	4	χ[a	PERSON
ejpam-5611	150	5	⊆	CARDINAL
ejpam-5611	150	6	ψ(ξk	ORG
ejpam-5611	150	7	2 √	CARDINAL
ejpam-5611	151	1	2 √	CARDINAL
ejpam-5611	151	2	⊆	CARDINAL
ejpam-5611	151	3	1	CARDINAL
ejpam-5611	151	4	2	DATE
ejpam-5611	152	1	supp	ORG
ejpam-5611	152	2	χ[a	PERSON
ejpam-5611	152	3	⊆	CARDINAL
ejpam-5611	152	4	2 √	CARDINAL
ejpam-5611	153	1	⊆	CARDINAL
ejpam-5611	153	2	1	CARDINAL
ejpam-5611	153	3	2	DATE
ejpam-5611	154	1	r. so	PERSON
ejpam-5611	154	2	2 √	CARDINAL
ejpam-5611	155	1	⊆	CARDINAL
ejpam-5611	155	2	⊆	CARDINAL
ejpam-5611	157	1	1	CARDINAL
ejpam-5611	157	2	2	DATE
ejpam-5611	157	3	r.	NORP
ejpam-5611	157	4	supp	PERSON
ejpam-5611	157	5	χ[a	PERSON
ejpam-5611	157	6	⊆	CARDINAL
ejpam-5611	157	7	2 √	CARDINAL
ejpam-5611	157	8	⊆	CARDINAL
ejpam-5611	157	9	⊆	CARDINAL
ejpam-5611	157	10	supp	ORG
ejpam-5611	157	11	χ[a	PERSON
ejpam-5611	157	12	⊆	CARDINAL
ejpam-5611	157	13	⊆	CARDINAL
ejpam-5611	157	14	3.8	CARDINAL
ejpam-5611	157	15	1	CARDINAL
ejpam-5611	157	16	2	DATE
ejpam-5611	157	17	r.	NORP
ejpam-5611	157	18	1	CARDINAL
ejpam-5611	157	19	χ[a	PERSON
ejpam-5611	160	1	1	CARDINAL
ejpam-5611	160	2	2	DATE
ejpam-5611	160	3	χ[a	PERSON
ejpam-5611	161	1	k=1	PERSON
ejpam-5611	162	1	k=1	PERSON
ejpam-5611	163	1	1	CARDINAL
ejpam-5611	163	2	g. flores	PERSON
ejpam-5611	163	3	a. flores	PERSON
ejpam-5611	164	1	j. pure	PERSON
ejpam-5611	164	2	18	CARDINAL
ejpam-5611	164	3	2	CARDINAL
ejpam-5611	164	4	2025	CARDINAL
ejpam-5611	164	5	5611 8	DATE
ejpam-5611	164	6	16	CARDINAL
ejpam-5611	165	1	3.8	CARDINAL
ejpam-5611	166	1	1	CARDINAL
ejpam-5611	166	2	2	DATE
ejpam-5611	166	3	supp	GPE
ejpam-5611	166	4	k ∈	PERSON
ejpam-5611	166	5	1	CARDINAL
ejpam-5611	166	6	2	DATE
ejpam-5611	166	7	∈	ORG
ejpam-5611	167	1	0	CARDINAL
ejpam-5611	168	1	∈	ORG
ejpam-5611	168	2	supp	GPE
ejpam-5611	169	1	supp	GPE
ejpam-5611	169	2	⊆	CARDINAL
ejpam-5611	170	1	k ∈	PERSON
ejpam-5611	170	2	1	CARDINAL
ejpam-5611	170	3	2	DATE
ejpam-5611	170	4	∈	ORG
ejpam-5611	171	1	φk(ψ −1(ψ(x	ORG
ejpam-5611	172	1	0	CARDINAL
ejpam-5611	172	2	supp	GPE
ejpam-5611	174	1	0	CARDINAL
ejpam-5611	175	1	∈	ORG
ejpam-5611	175	2	supp	GPE
ejpam-5611	175	3	⊆	CARDINAL
ejpam-5611	175	4	supp	ORG
ejpam-5611	176	1	supp	GPE
ejpam-5611	176	2	supp	ORG
ejpam-5611	177	1	lemma 1,∫	ORG
ejpam-5611	179	1	k=1	PERSON
ejpam-5611	179	2	∫ ik φk	PERSON
ejpam-5611	179	3	k=1 f(xk	PERSON
ejpam-5611	180	1	k=1 f(ψ(ξk))|detψ| ∫ ik	PERSON
ejpam-5611	180	2	k=1 f(xk	PERSON
ejpam-5611	181	1	k=1 f(ψ(ξk))|detψ| ∫ ik	PERSON
ejpam-5611	181	2	− p∑	ORG
ejpam-5611	183	1	∫ ik φk ∥∥∥∥	PERSON
ejpam-5611	183	2	0	CARDINAL
ejpam-5611	183	3	s∑	CARDINAL
ejpam-5611	183	4	k=1	NORP
ejpam-5611	183	5	∫ ik φk = p∑ k=1 f(xk	PERSON
ejpam-5611	184	1	3.9	CARDINAL
ejpam-5611	185	1	k=1 f(xk	PERSON
ejpam-5611	186	1	s∑ k=1 f(ψ(ξk))|detψ|χψ−1(e)(ξk	QUANTITY
ejpam-5611	189	1	□ g. flores	PERSON
ejpam-5611	189	2	a. flores	PERSON
ejpam-5611	190	1	j. pure	PERSON
ejpam-5611	190	2	18	CARDINAL
ejpam-5611	190	3	2	CARDINAL
ejpam-5611	190	4	2025	CARDINAL
ejpam-5611	190	5	5611	DATE
ejpam-5611	190	6	9	CARDINAL
ejpam-5611	190	7	16	CARDINAL
ejpam-5611	190	8	2	CARDINAL
ejpam-5611	191	1	σ(x	ORG
ejpam-5611	191	2	η	GPE
ejpam-5611	192	1	η	GPE
ejpam-5611	192	2	1− σ)ψ	DATE
ejpam-5611	194	1	df	ORG
ejpam-5611	195	1	∑ df ψ(x	PERSON
ejpam-5611	195	2	1	CARDINAL
ejpam-5611	195	3	that∑	NORP
ejpam-5611	196	1	1− σ(x	PRODUCT
ejpam-5611	197	1	ψ(x)− σ(x	PERSON
ejpam-5611	197	2	∑ df ψ(x	PERSON
ejpam-5611	197	3	1	CARDINAL
ejpam-5611	197	4	1	CARDINAL
ejpam-5611	198	1	1	CARDINAL
ejpam-5611	199	1	supp φ ⊆	ORG
ejpam-5611	199	2	⊆	CARDINAL
ejpam-5611	200	1	3.10	CARDINAL
ejpam-5611	200	2	∈	ORG
ejpam-5611	200	3	1	CARDINAL
ejpam-5611	202	1	1	CARDINAL
ejpam-5611	205	1	0	CARDINAL
ejpam-5611	206	1	∈	ORG
ejpam-5611	207	1	supp	GPE
ejpam-5611	207	2	1− φ	PRODUCT
ejpam-5611	207	3	⊆	CARDINAL
ejpam-5611	207	4	supp	GPE
ejpam-5611	208	1	supp	GPE
ejpam-5611	208	2	1− σ	PRODUCT
ejpam-5611	209	1	⊆	CARDINAL
ejpam-5611	209	2	supp	GPE
ejpam-5611	209	3	⊆	CARDINAL
ejpam-5611	209	4	δ(η	PERSON
ejpam-5611	210	1	3.11	CARDINAL
ejpam-5611	210	2	3.10	CARDINAL
ejpam-5611	210	3	3.11	CARDINAL
ejpam-5611	210	4	η	GPE
ejpam-5611	210	5	1− σ)ψ	DATE
ejpam-5611	211	1	3	CARDINAL
ejpam-5611	214	1	supp	ORG
ejpam-5611	215	1	⊆	CARDINAL
ejpam-5611	215	2	⊆	CARDINAL
ejpam-5611	216	1	g. g. flores	PERSON
ejpam-5611	216	2	a. flores	PERSON
ejpam-5611	217	1	j. pure	PERSON
ejpam-5611	217	2	18	CARDINAL
ejpam-5611	217	3	2	CARDINAL
ejpam-5611	217	4	2025	CARDINAL
ejpam-5611	217	5	5611	DATE
ejpam-5611	217	6	10	CARDINAL
ejpam-5611	217	7	16	CARDINAL
ejpam-5611	217	8	0	CARDINAL
ejpam-5611	218	1	φ	ORG
ejpam-5611	221	1	⊆	CARDINAL
ejpam-5611	221	2	∈	ORG
ejpam-5611	223	1	0	CARDINAL
ejpam-5611	225	1	3(m + 1	DATE
ejpam-5611	226	1	3.12	CARDINAL
ejpam-5611	226	2	∈	ORG
ejpam-5611	227	1	∈	ORG
ejpam-5611	227	2	3.12	CARDINAL
ejpam-5611	228	1	∈	ORG
ejpam-5611	228	2	y ∈ b(x	PERSON
ejpam-5611	229	1	3.13	CARDINAL
ejpam-5611	229	2	φ	ORG
ejpam-5611	229	3	η	PRODUCT
ejpam-5611	230	1	∈	ORG
ejpam-5611	230	2	0 < ϕ(x) ≤ 1	DATE
ejpam-5611	231	1	supp	GPE
ejpam-5611	232	1	ϕ(x	LOC
ejpam-5611	232	2	supp	GPE
ejpam-5611	234	1	supp	GPE
ejpam-5611	234	2	supp φ ⊆	WORK_OF_ART
ejpam-5611	234	3	⊆	CARDINAL
ejpam-5611	236	1	0 < ϕ(x	DATE
ejpam-5611	236	2	∑ d2	PERSON
ejpam-5611	236	3	1− ϕ(x	EVENT
ejpam-5611	236	4	∑ d2 ψ(x	PERSON
ejpam-5611	239	1	1−	ORDINAL
ejpam-5611	240	1	supp	GPE
ejpam-5611	241	1	supp	GPE
ejpam-5611	241	2	1−	ORDINAL
ejpam-5611	241	3	⊆	CARDINAL
ejpam-5611	241	4	δ(η	PERSON
ejpam-5611	242	1	η	PRODUCT
ejpam-5611	242	2	1	CARDINAL
ejpam-5611	243	1	lemma 2	ORG
ejpam-5611	243	2	η	PRODUCT
ejpam-5611	243	3	1−	ORDINAL
ejpam-5611	247	1	1−	ORDINAL
ejpam-5611	249	1	6	CARDINAL
ejpam-5611	250	1	3.14	CARDINAL
ejpam-5611	250	2	g. flores	PERSON
ejpam-5611	250	3	a. flores	PERSON
ejpam-5611	251	1	j. pure	PERSON
ejpam-5611	251	2	18	CARDINAL
ejpam-5611	251	3	2	CARDINAL
ejpam-5611	251	4	2025	CARDINAL
ejpam-5611	251	5	5611 11	DATE
ejpam-5611	251	6	16	CARDINAL
ejpam-5611	254	1	6	CARDINAL
ejpam-5611	255	1	3.15	CARDINAL
ejpam-5611	255	2	3.14	CARDINAL
ejpam-5611	255	3	3.15	CARDINAL
ejpam-5611	260	1	1−	ORDINAL
ejpam-5611	268	1	1−	ORDINAL
ejpam-5611	277	1	3.16	CARDINAL
ejpam-5611	277	2	3.13)∥∥∥∥∑	CARDINAL
ejpam-5611	284	1	ϕ(ξ	NORP
ejpam-5611	285	1	φ− ϕ	GPE
ejpam-5611	291	1	g. flores	PERSON
ejpam-5611	291	2	a. flores	PERSON
ejpam-5611	292	1	j. pure	PERSON
ejpam-5611	292	2	18	CARDINAL
ejpam-5611	292	3	2	CARDINAL
ejpam-5611	292	4	2025	CARDINAL
ejpam-5611	292	5	5611 12	DATE
ejpam-5611	292	6	16 ≤ ∑	QUANTITY
ejpam-5611	297	1	+ 1	DATE
ejpam-5611	297	2	3	CARDINAL
ejpam-5611	297	3	d1 f(ξ)ϕ(ξ	ORG
ejpam-5611	299	1	3.17	CARDINAL
ejpam-5611	301	1	j ϕ(η	PERSON
ejpam-5611	302	1	− ∑ d2 f(η	PERSON
ejpam-5611	304	1	j ϕ(η	PERSON
ejpam-5611	306	1	− ∫ j ϕ · ψ ]∥∥∥∥ = ∥∥∥∥∑ d2 f(η	ORG
ejpam-5611	307	1	− ϕ · ψ )]∥∥∥∥ = ∥∥∥∥∑ d2 f(η	ORG
ejpam-5611	309	1	δ(η	PERSON
ejpam-5611	310	1	δ(η	PERSON
ejpam-5611	311	1	δ(η	PERSON
ejpam-5611	312	1	+ 1	DATE
ejpam-5611	312	2	∑ d2 ∫ j	PERSON
ejpam-5611	312	3	+ 1	DATE
ejpam-5611	313	1	+ 1	DATE
ejpam-5611	313	2	3	CARDINAL
ejpam-5611	315	1	3.18	CARDINAL
ejpam-5611	315	2	3.16	CARDINAL
ejpam-5611	315	3	3.17	CARDINAL
ejpam-5611	315	4	3.18)∥∥∥∥∑	CARDINAL
ejpam-5611	317	1	g. flores	PERSON
ejpam-5611	317	2	a. flores	PERSON
ejpam-5611	318	1	j. pure	PERSON
ejpam-5611	318	2	18	CARDINAL
ejpam-5611	318	3	2	CARDINAL
ejpam-5611	318	4	2025	CARDINAL
ejpam-5611	318	5	5611 13	DATE
ejpam-5611	318	6	16	CARDINAL
ejpam-5611	318	7	d1 f(ξ)ϕ(ξ	ORG
ejpam-5611	324	1	− ∑ d2 f(η)ϕ(η	PERSON
ejpam-5611	331	1	− ∑ d2 f(η)ϕ(η	PERSON
ejpam-5611	331	2	3 + ϵ 3 + ϵ 3	DATE
ejpam-5611	333	1	2	CARDINAL
ejpam-5611	333	2	saks-henstock lemma	ORG
ejpam-5611	335	1	0	CARDINAL
ejpam-5611	335	2	φ	ORG
ejpam-5611	337	1	0	CARDINAL
ejpam-5611	338	1	σ	ORG
ejpam-5611	340	1	φ	ORG
ejpam-5611	341	1	a δ1(x	QUANTITY
ejpam-5611	341	2	δ1(x	PERSON
ejpam-5611	341	3	3	CARDINAL
ejpam-5611	342	1	∈	ORG
ejpam-5611	342	2	y ∈ b(x	PERSON
ejpam-5611	342	3	3	CARDINAL
ejpam-5611	343	1	3.19	CARDINAL
ejpam-5611	343	2	3	CARDINAL
ejpam-5611	343	3	1− ϕ	DATE
ejpam-5611	345	1	1−	NORP
ejpam-5611	347	1	1− ϕ) ∥∥∥∥	DATE
ejpam-5611	347	2	g. flores	PERSON
ejpam-5611	347	3	a. flores	PERSON
ejpam-5611	348	1	j. pure	PERSON
ejpam-5611	348	2	18	CARDINAL
ejpam-5611	348	3	2	CARDINAL
ejpam-5611	348	4	2025	CARDINAL
ejpam-5611	348	5	5611	DATE
ejpam-5611	348	6	14	CARDINAL
ejpam-5611	348	7	16	CARDINAL
ejpam-5611	349	1	1−	NORP
ejpam-5611	353	1	∑ p φ	ORG
ejpam-5611	357	1	1−	NORP
ejpam-5611	362	1	1−	NORP
ejpam-5611	367	1	3	CARDINAL
ejpam-5611	368	1	3.20	CARDINAL
ejpam-5611	368	2	j	PERSON
ejpam-5611	368	3	1	CARDINAL
ejpam-5611	368	4	j	PERSON
ejpam-5611	370	1	1− ϕ)ψ	LAW
ejpam-5611	372	1	3	CARDINAL
ejpam-5611	373	1	3.21	CARDINAL
ejpam-5611	375	1	1− ϕ)ψ ∥∥∥∥	TIME
ejpam-5611	380	1	∈	ORG
ejpam-5611	382	1	∈	ORG
ejpam-5611	383	1	∈	ORG
ejpam-5611	387	1	1− ϕ)ψ ∥∥∥∥	TIME
ejpam-5611	387	2	3	CARDINAL
ejpam-5611	388	1	3.22	CARDINAL
ejpam-5611	388	2	3.20	CARDINAL
ejpam-5611	388	3	3.21	CARDINAL
ejpam-5611	388	4	3.22)∥∥∥∥∑	CARDINAL
ejpam-5611	399	1	1− ϕ)ψ g. flores	TIME
ejpam-5611	399	2	a. flores	PERSON
ejpam-5611	400	1	j. pure	PERSON
ejpam-5611	400	2	18	CARDINAL
ejpam-5611	400	3	2	CARDINAL
ejpam-5611	400	4	2025	CARDINAL
ejpam-5611	400	5	5611 15	DATE
ejpam-5611	400	6	1− ϕ)ψ	TIME
ejpam-5611	407	1	1− ϕ)ψ	LAW
ejpam-5611	419	1	1− ϕ)ψ ∥∥∥∥	TIME
ejpam-5611	419	2	3 + ϵ 3 + ϵ 3	DATE
ejpam-5611	420	1	1	CARDINAL
ejpam-5611	421	1	2	CARDINAL
ejpam-5611	421	2	0	CARDINAL
ejpam-5611	421	3	φ	ORG
ejpam-5611	424	1	julius v. benitez	PERSON
ejpam-5611	426	1	1	CARDINAL
ejpam-5611	426	2	j. jarnik	PERSON
ejpam-5611	426	3	j. kurzweil	PERSON
ejpam-5611	427	1	manifolds	ORG
ejpam-5611	429	1	j.	PERSON
ejpam-5611	429	2	139	CARDINAL
ejpam-5611	429	3	1985	DATE
ejpam-5611	430	1	2	CARDINAL
ejpam-5611	431	1	manifolds	ORG
ejpam-5611	432	1	taiwanese	NORP
ejpam-5611	432	2	15(2):559–571	DATE
ejpam-5611	432	3	2011	DATE
ejpam-5611	433	1	3	CARDINAL
ejpam-5611	433	2	g. c. flores	PERSON
ejpam-5611	434	1	manifolds	ORG
ejpam-5611	435	1	iranian	NORP
ejpam-5611	437	1	4	CARDINAL
ejpam-5611	437	2	g. c. flores	PERSON
ejpam-5611	437	3	j. v. benitez	PERSON
ejpam-5611	439	1	29(4):126–134	DATE
ejpam-5611	439	2	2017	DATE
ejpam-5611	440	1	g. flores	PERSON
ejpam-5611	440	2	a. flores	PERSON
ejpam-5611	441	1	j. pure	PERSON
ejpam-5611	441	2	18	CARDINAL
ejpam-5611	441	3	2	CARDINAL
ejpam-5611	441	4	2025	CARDINAL
ejpam-5611	441	5	5611	DATE
ejpam-5611	441	6	16	CARDINAL
ejpam-5611	441	7	16	CARDINAL
ejpam-5611	442	1	5	CARDINAL
ejpam-5611	442	2	g. c. flores	PERSON
ejpam-5611	442	3	j. v. benitez	PERSON
ejpam-5611	444	1	iranian	NORP
ejpam-5611	444	2	2(4):126–134	DATE
ejpam-5611	444	3	2021	DATE
ejpam-5611	445	1	6	CARDINAL
ejpam-5611	445	2	l. t. yeong	PERSON
ejpam-5611	445	3	12	CARDINAL
ejpam-5611	446	1	2011	DATE
ejpam-5611	447	1	7	CARDINAL
ejpam-5611	447	2	l. w. tu	PERSON
ejpam-5611	448	1	manifolds	ORG
ejpam-5611	449	1	llc.	GPE
ejpam-5611	449	2	2008	DATE