id	sid	eid	entity	type
ejpam-5571	1	1	european journal	ORG
ejpam-5571	2	1	17	CARDINAL
ejpam-5571	2	2	4	CARDINAL
ejpam-5571	2	3	2024	DATE
ejpam-5571	2	4	3932	CARDINAL
ejpam-5571	2	5	new york	GPE
ejpam-5571	2	6	phokaew1	NORP
ejpam-5571	2	7	sama-ae1,∗ 1 department	ORG
ejpam-5571	2	8	94000	DATE
ejpam-5571	2	9	thailand	GPE
ejpam-5571	4	1	2020	DATE
ejpam-5571	4	2	51k05	CARDINAL
ejpam-5571	4	3	54e40	CARDINAL
ejpam-5571	4	4	polygon	ORG
ejpam-5571	4	5	1	CARDINAL
ejpam-5571	7	1	1–5	CARDINAL
ejpam-5571	7	2	13	CARDINAL
ejpam-5571	7	3	riemannian	NORP
ejpam-5571	8	1	riemannian	NORP
ejpam-5571	9	1	the remannian manifolds	ORG
ejpam-5571	9	2	hilbert spaces	ORG
ejpam-5571	11	1	x.	GPE
ejpam-5571	11	2	ℓ(γ	ORG
ejpam-5571	11	3	ℓ(γ	ORG
ejpam-5571	12	1	i=1 d(γ(ti−1	PERSON
ejpam-5571	12	2	∗corresponding	PERSON
ejpam-5571	13	1	https://doi.org/10.29020/nybg.ejpam.v17i4.5571	PERSON
ejpam-5571	13	2	a. sama-ae	PERSON
ejpam-5571	13	3	3932	CARDINAL
ejpam-5571	14	1	2024	CARDINAL
ejpam-5571	15	1	a. sama-ae	PERSON
ejpam-5571	16	1	j. pure	PERSON
ejpam-5571	16	2	17	CARDINAL
ejpam-5571	16	3	4	CARDINAL
ejpam-5571	16	4	2024	CARDINAL
ejpam-5571	16	5	3932	CARDINAL
ejpam-5571	16	6	supremum	ORG
ejpam-5571	18	1	d∗(x	GPE
ejpam-5571	20	1	d∗	DATE
ejpam-5571	22	1	two	CARDINAL
ejpam-5571	23	1	0	CARDINAL
ejpam-5571	23	2	⊂	GPE
ejpam-5571	23	3	c(0	NORP
ejpam-5571	25	1	− t′|	PERSON
ejpam-5571	26	1	0	CARDINAL
ejpam-5571	27	1	two	CARDINAL
ejpam-5571	28	1	two	CARDINAL
ejpam-5571	29	1	1	CARDINAL
ejpam-5571	30	1	5	CARDINAL
ejpam-5571	31	1	rk	ORG
ejpam-5571	31	2	one	CARDINAL
ejpam-5571	31	3	1/ √	QUANTITY
ejpam-5571	32	1	0	CARDINAL
ejpam-5571	33	1	rk	NORP
ejpam-5571	33	2	4	CARDINAL
ejpam-5571	34	1	three	CARDINAL
ejpam-5571	36	1	p̃	ORG
ejpam-5571	36	2	q̃	ORG
ejpam-5571	36	3	r̃	PERSON
ejpam-5571	36	4	d(p	GPE
ejpam-5571	36	5	d(q	PERSON
ejpam-5571	36	6	r̃	GPE
ejpam-5571	36	7	d(p	GPE
ejpam-5571	36	8	r̃	PERSON
ejpam-5571	37	1	p̃	ORG
ejpam-5571	37	2	q̃	ORG
ejpam-5571	37	3	r̃	PERSON
ejpam-5571	37	4	d(p	GPE
ejpam-5571	38	1	+ d(q	PERSON
ejpam-5571	41	1	p̃	ORG
ejpam-5571	41	2	q̃	ORG
ejpam-5571	41	3	r̃	PERSON
ejpam-5571	42	1	x̃	ORG
ejpam-5571	42	2	r̃	PERSON
ejpam-5571	42	3	d(q	PERSON
ejpam-5571	42	4	d(q̃	PRODUCT
ejpam-5571	42	5	x̃	ORG
ejpam-5571	42	6	q̃ of triangle △	ORG
ejpam-5571	42	7	p̃	ORG
ejpam-5571	42	8	q̃	ORG
ejpam-5571	42	9	r̃	PERSON
ejpam-5571	43	1	x.	GPE
ejpam-5571	44	1	∠p̃(q̃	GPE
ejpam-5571	44	2	r̃	GPE
ejpam-5571	44	3	p̃	ORG
ejpam-5571	44	4	p̃	ORG
ejpam-5571	44	5	r̃	PERSON
ejpam-5571	45	1	x.	GPE
ejpam-5571	45	2	2	CARDINAL
ejpam-5571	46	1	6	CARDINAL
ejpam-5571	47	1	∈	ORG
ejpam-5571	47	2	four	CARDINAL
ejpam-5571	50	1	two	CARDINAL
ejpam-5571	50	2	2	CARDINAL
ejpam-5571	51	1	d(p	GPE
ejpam-5571	51	2	s̃	GPE
ejpam-5571	51	3	s̃	GPE
ejpam-5571	53	1	two	CARDINAL
ejpam-5571	53	2	x.	GPE
ejpam-5571	53	3	lim	PERSON
ejpam-5571	53	4	α(s	PERSON
ejpam-5571	55	1	2d(p	ORG
ejpam-5571	56	1	c. phokaew	PERSON
ejpam-5571	56	2	a. sama-ae	PERSON
ejpam-5571	57	1	j. pure	PERSON
ejpam-5571	57	2	17	CARDINAL
ejpam-5571	57	3	4	CARDINAL
ejpam-5571	57	4	2024	CARDINAL
ejpam-5571	57	5	3932	CARDINAL
ejpam-5571	65	1	1	CARDINAL
ejpam-5571	66	1	5	CARDINAL
ejpam-5571	66	2	k. theorem 2	PERSON
ejpam-5571	67	1	12	CARDINAL
ejpam-5571	67	2	p̃	ORG
ejpam-5571	67	3	q̃	ORG
ejpam-5571	67	4	r̃	PERSON
ejpam-5571	68	1	d(p	GPE
ejpam-5571	68	2	d(p	GPE
ejpam-5571	68	3	r̃	PERSON
ejpam-5571	68	4	r̃	GPE
ejpam-5571	68	5	d(q	PERSON
ejpam-5571	69	1	2	CARDINAL
ejpam-5571	72	1	polygon	ORG
ejpam-5571	73	1	two	CARDINAL
ejpam-5571	74	1	a. c(a	PERSON
ejpam-5571	74	2	two	CARDINAL
ejpam-5571	75	1	d(x	ORG
ejpam-5571	77	1	polygon	ORG
ejpam-5571	77	2	p′1	ORG
ejpam-5571	77	3	2	CARDINAL
ejpam-5571	77	4	′ 3	DATE
ejpam-5571	77	5	4	CARDINAL
ejpam-5571	77	6	5	CARDINAL
ejpam-5571	77	7	p′1	ORG
ejpam-5571	77	8	polygon	ORG
ejpam-5571	77	9	rk	NORP
ejpam-5571	77	10	2	CARDINAL
ejpam-5571	77	11	′ 3	DATE
ejpam-5571	77	12	′ 4	DATE
ejpam-5571	78	1	′ 5	DATE
ejpam-5571	78	2	′ 4	DATE
ejpam-5571	79	1	′ 3	DATE
ejpam-5571	80	1	′ 3	DATE
ejpam-5571	80	2	′ 4	DATE
ejpam-5571	81	1	′ 4	DATE
ejpam-5571	83	1	′ 4	DATE
ejpam-5571	84	1	1	CARDINAL
ejpam-5571	86	1	x′	CARDINAL
ejpam-5571	86	2	x.	GPE
ejpam-5571	87	1	d(x	ORG
ejpam-5571	87	2	r′	PERSON
ejpam-5571	88	1	c. phokaew	PERSON
ejpam-5571	88	2	a. sama-ae	PERSON
ejpam-5571	89	1	j. pure	PERSON
ejpam-5571	89	2	17	CARDINAL
ejpam-5571	89	3	4	CARDINAL
ejpam-5571	89	4	2024	CARDINAL
ejpam-5571	89	5	3932	CARDINAL
ejpam-5571	90	1	d(x	ORG
ejpam-5571	90	2	r′	PERSON
ejpam-5571	91	1	2	CARDINAL
ejpam-5571	91	2	d(x	ORG
ejpam-5571	91	3	r′	PERSON
ejpam-5571	93	1	3	CARDINAL
ejpam-5571	96	1	∠r′(p ′	WORK_OF_ART
ejpam-5571	96	2	∠p(x	PERSON
ejpam-5571	99	1	r′	PERSON
ejpam-5571	101	1	lemma 1	ORG
ejpam-5571	101	2	d(x	ORG
ejpam-5571	101	3	r′	PERSON
ejpam-5571	101	4	x′	CARDINAL
ejpam-5571	101	5	d(x	ORG
ejpam-5571	102	1	r′	PERSON
ejpam-5571	102	2	x′	DATE
ejpam-5571	105	1	two	CARDINAL
ejpam-5571	105	2	r′	PERSON
ejpam-5571	106	1	two	CARDINAL
ejpam-5571	107	1	x′	DATE
ejpam-5571	107	2	r′	PERSON
ejpam-5571	107	3	x′	DATE
ejpam-5571	107	4	x′	DATE
ejpam-5571	108	1	x′	DATE
ejpam-5571	108	2	d(x	ORG
ejpam-5571	108	3	x′	DATE
ejpam-5571	109	1	d(a	GPE
ejpam-5571	111	1	2	CARDINAL
ejpam-5571	111	2	d(a	GPE
ejpam-5571	112	1	d(a	PERSON
ejpam-5571	113	1	polygon	ORG
ejpam-5571	114	1	4	CARDINAL
ejpam-5571	116	1	polygon	ORG
ejpam-5571	118	1	polygon	ORG
ejpam-5571	118	2	vertices p′1	GPE
ejpam-5571	118	3	2	CARDINAL
ejpam-5571	118	4	′ 3	DATE
ejpam-5571	118	5	4	CARDINAL
ejpam-5571	118	6	′ 1	DATE
ejpam-5571	120	1	p′1	ORG
ejpam-5571	120	2	p′1	ORG
ejpam-5571	121	1	p′1	ORG
ejpam-5571	121	2	3	CARDINAL
ejpam-5571	122	1	c. phokaew	PERSON
ejpam-5571	122	2	a. sama-ae	PERSON
ejpam-5571	123	1	j. pure	PERSON
ejpam-5571	123	2	17	CARDINAL
ejpam-5571	123	3	4	CARDINAL
ejpam-5571	123	4	2024	CARDINAL
ejpam-5571	123	5	3932	CARDINAL
ejpam-5571	123	6	σ	ORG
ejpam-5571	124	1	first	ORDINAL
ejpam-5571	124	2	p′1	ORG
ejpam-5571	124	3	3	CARDINAL
ejpam-5571	129	1	′ 3	DATE
ejpam-5571	129	2	d(p′1	EVENT
ejpam-5571	129	3	′ 3	DATE
ejpam-5571	130	1	′′	ORG
ejpam-5571	131	1	′ 3	DATE
ejpam-5571	133	1	3	CARDINAL
ejpam-5571	133	2	c({p2	ORG
ejpam-5571	133	3	c({p′2	ORG
ejpam-5571	140	1	j = 1	PERSON
ejpam-5571	140	2	2	DATE
ejpam-5571	140	3	3	DATE
ejpam-5571	141	1	1	CARDINAL
ejpam-5571	141	2	3	DATE
ejpam-5571	141	3	4	DATE
ejpam-5571	145	1	c({p1	PRODUCT
ejpam-5571	150	1	2	CARDINAL
ejpam-5571	155	1	2	CARDINAL
ejpam-5571	155	2	p′1	ORG
ejpam-5571	155	3	3	CARDINAL
ejpam-5571	156	1	4	CARDINAL
ejpam-5571	158	1	4 ∈	TIME
ejpam-5571	160	1	x3	PERSON
ejpam-5571	160	2	x4	PERSON
ejpam-5571	160	3	two	CARDINAL
ejpam-5571	163	1	rk	NORP
ejpam-5571	164	1	′ 3	CARDINAL
ejpam-5571	166	1	4	CARDINAL
ejpam-5571	166	2	2	CARDINAL
ejpam-5571	167	1	c. phokaew	GPE
ejpam-5571	167	2	a. sama-ae	PERSON
ejpam-5571	168	1	j. pure	PERSON
ejpam-5571	168	2	17	CARDINAL
ejpam-5571	168	3	4	CARDINAL
ejpam-5571	168	4	2024	CARDINAL
ejpam-5571	168	5	3932	CARDINAL
ejpam-5571	170	1	x3, x4]	ORG
ejpam-5571	170	2	c({p1	GPE
ejpam-5571	171	1	x3	GPE
ejpam-5571	171	2	′ 3	DATE
ejpam-5571	171	3	x4	PERSON
ejpam-5571	171	4	d(x′3	ORDINAL
ejpam-5571	171	5	′ 4	DATE
ejpam-5571	171	6	x4	PERSON
ejpam-5571	171	7	x3	GPE
ejpam-5571	172	1	x4	PERSON
ejpam-5571	172	2	′ 3	DATE
ejpam-5571	175	1	2	CARDINAL
ejpam-5571	176	1	x4]∪	CARDINAL
ejpam-5571	177	1	x4	ORG
ejpam-5571	177	2	c({p1	GPE
ejpam-5571	177	3	x4	PERSON
ejpam-5571	177	4	d(x′3	ORDINAL
ejpam-5571	177	5	4	CARDINAL
ejpam-5571	178	1	2	CARDINAL
ejpam-5571	178	2	x4	PERSON
ejpam-5571	178	3	d(x′3	ORDINAL
ejpam-5571	178	4	d(x′3	ORDINAL
ejpam-5571	178	5	2	CARDINAL
ejpam-5571	180	1	x3, x4] ∪	ORG
ejpam-5571	180	2	x4	ORG
ejpam-5571	180	3	x3	GPE
ejpam-5571	180	4	x4	PERSON
ejpam-5571	181	1	′ 3	DATE
ejpam-5571	181	2	′ 4	DATE
ejpam-5571	182	1	2	CARDINAL
ejpam-5571	185	1	first	ORDINAL
ejpam-5571	186	1	two	CARDINAL
ejpam-5571	191	1	t′	CARDINAL
ejpam-5571	191	2	two	CARDINAL
ejpam-5571	191	3	2	CARDINAL
ejpam-5571	191	4	p′1	ORG
ejpam-5571	191	5	3	CARDINAL
ejpam-5571	191	6	t′	CARDINAL
ejpam-5571	194	1	d(x1	GPE
ejpam-5571	203	1	4	CARDINAL
ejpam-5571	203	2	two	CARDINAL
ejpam-5571	204	1	0	CARDINAL
ejpam-5571	205	1	−1	DATE
ejpam-5571	205	2	0	CARDINAL
ejpam-5571	205	3	0	DATE
ejpam-5571	205	4	1	CARDINAL
ejpam-5571	205	5	0	DATE
ejpam-5571	205	6	0	DATE
ejpam-5571	205	7	0	CARDINAL
ejpam-5571	205	8	1	DATE
ejpam-5571	205	9	0	DATE
ejpam-5571	205	10	−1	DATE
ejpam-5571	205	11	0	CARDINAL
ejpam-5571	205	12	0	DATE
ejpam-5571	205	13	1	CARDINAL
ejpam-5571	205	14	0	DATE
ejpam-5571	205	15	0	DATE
ejpam-5571	205	16	0	CARDINAL
ejpam-5571	205	17	0	DATE
ejpam-5571	205	18	1	CARDINAL
ejpam-5571	206	1	0,−1	CARDINAL
ejpam-5571	206	2	0	CARDINAL
ejpam-5571	206	3	1	CARDINAL
ejpam-5571	206	4	1	CARDINAL
ejpam-5571	206	5	0,−1	CARDINAL
ejpam-5571	206	6	0	CARDINAL
ejpam-5571	206	7	1	CARDINAL
ejpam-5571	206	8	−1	DATE
ejpam-5571	206	9	0	CARDINAL
ejpam-5571	210	1	c(x ′	LAW
ejpam-5571	210	2	c(x	ORG
ejpam-5571	210	3	−1	DATE
ejpam-5571	210	4	0	CARDINAL
ejpam-5571	210	5	0	DATE
ejpam-5571	210	6	1	CARDINAL
ejpam-5571	210	7	0	DATE
ejpam-5571	210	8	0	CARDINAL
ejpam-5571	210	9	1	DATE
ejpam-5571	210	10	0	DATE
ejpam-5571	210	11	0	CARDINAL
ejpam-5571	210	12	0	DATE
ejpam-5571	210	13	1	CARDINAL
ejpam-5571	211	1	4	CARDINAL
ejpam-5571	211	2	5	CARDINAL
ejpam-5571	213	1	polygon	ORG
ejpam-5571	215	1	polygon	ORG
ejpam-5571	215	2	vertices p′1	GPE
ejpam-5571	215	3	2	CARDINAL
ejpam-5571	215	4	′ 3	DATE
ejpam-5571	215	5	′ 1	DATE
ejpam-5571	215	6	4	CARDINAL
ejpam-5571	215	7	a. sama-ae	PERSON
ejpam-5571	216	1	j. pure	PERSON
ejpam-5571	216	2	17	CARDINAL
ejpam-5571	216	3	4	CARDINAL
ejpam-5571	216	4	2024	CARDINAL
ejpam-5571	216	5	3932	CARDINAL
ejpam-5571	216	6	pt+1	PERSON
ejpam-5571	216	7	c({p′t	NORP
ejpam-5571	217	1	pj	PERSON
ejpam-5571	217	2	1	CARDINAL
ejpam-5571	217	3	2	DATE
ejpam-5571	217	4	1	CARDINAL
ejpam-5571	217	5	j ∈	PERSON
ejpam-5571	217	6	1	CARDINAL
ejpam-5571	217	7	2	CARDINAL
ejpam-5571	217	8	1	CARDINAL
ejpam-5571	218	1	∠pi(p ∗	PERSON
ejpam-5571	218	2	p′1	ORG
ejpam-5571	218	3	p′1	ORG
ejpam-5571	218	4	∠p1(pi	GPE
ejpam-5571	218	5	pj	PERSON
ejpam-5571	219	1	∗	CARDINAL
ejpam-5571	220	1	∗	CARDINAL
ejpam-5571	220	2	pj	PERSON
ejpam-5571	220	3	pj	PERSON
ejpam-5571	220	4	σ	ORG
ejpam-5571	220	5	σ	ORG
ejpam-5571	221	1	3	CARDINAL
ejpam-5571	221	2	d(x	ORG
ejpam-5571	221	3	γ	GPE
ejpam-5571	222	1	γ	GPE
ejpam-5571	222	2	r.	NORP
ejpam-5571	223	1	a′	ORG
ejpam-5571	224	1	2	CARDINAL
ejpam-5571	227	1	2 √ k	TIME
ejpam-5571	227	2	a′	ORG
ejpam-5571	227	3	d(a	GPE
ejpam-5571	228	1	a′	ORG
ejpam-5571	228	2	d(a	GPE
ejpam-5571	230	1	a′	ORG
ejpam-5571	234	1	q′	PERSON
ejpam-5571	234	2	a′	ORG
ejpam-5571	235	1	d(p	GPE
ejpam-5571	235	2	q′	PERSON
ejpam-5571	236	1	q′	PERSON
ejpam-5571	236	2	two	CARDINAL
ejpam-5571	236	3	d(a	PERSON
ejpam-5571	237	1	d(a	GPE
ejpam-5571	238	1	+ d(q	PERSON
ejpam-5571	242	1	c. phokaew	PERSON
ejpam-5571	242	2	a. sama-ae	PERSON
ejpam-5571	243	1	j. pure	PERSON
ejpam-5571	243	2	17	CARDINAL
ejpam-5571	243	3	4	CARDINAL
ejpam-5571	243	4	2024	CARDINAL
ejpam-5571	243	5	3932	CARDINAL
ejpam-5571	243	6	3	CARDINAL
ejpam-5571	246	1	2 √ k	TIME
ejpam-5571	246	2	a′	ORG
ejpam-5571	246	3	a′	ORG
ejpam-5571	246	4	ℓ(γ	ORG
ejpam-5571	246	5	π√ k	PERSON
ejpam-5571	246	6	∠p′(a ′	DATE
ejpam-5571	246	7	w	GPE
ejpam-5571	246	8	= ∠u(v	PERSON
ejpam-5571	246	9	w	GPE
ejpam-5571	247	1	w	GPE
ejpam-5571	247	2	= ∠u(v	PERSON
ejpam-5571	247	3	w	GPE
ejpam-5571	248	1	a′	ORG
ejpam-5571	248	2	c′	ORG
ejpam-5571	250	1	a′	ORG
ejpam-5571	250	2	a′	ORG
ejpam-5571	250	3	b′	ORG
ejpam-5571	251	1	4	CARDINAL
ejpam-5571	251	2	a′	ORG
ejpam-5571	251	3	a′	ORG
ejpam-5571	251	4	b′	ORG
ejpam-5571	252	1	vi	PERSON
ejpam-5571	254	1	′, q′	DATE
ejpam-5571	256	1	∠b(p	PRODUCT
ejpam-5571	257	1	∠b(p	PRODUCT
ejpam-5571	260	1	3	CARDINAL
ejpam-5571	260	2	a′	ORG
ejpam-5571	261	1	4	CARDINAL
ejpam-5571	261	2	a′	ORG
ejpam-5571	261	3	c′	ORG
ejpam-5571	262	1	6	CARDINAL
ejpam-5571	265	1	2 √ k	TIME
ejpam-5571	265	2	a′	ORG
ejpam-5571	265	3	a′	ORG
ejpam-5571	265	4	ℓ(γ	ORG
ejpam-5571	265	5	π√ k	PERSON
ejpam-5571	265	6	a′	ORG
ejpam-5571	266	1	c. phokaew	GPE
ejpam-5571	266	2	a. sama-ae	PERSON
ejpam-5571	267	1	j. pure	PERSON
ejpam-5571	267	2	17	CARDINAL
ejpam-5571	267	3	4	CARDINAL
ejpam-5571	267	4	2024	CARDINAL
ejpam-5571	267	5	3932-3944 3940	CARDINAL
ejpam-5571	267	6	∠p′(a ′	DATE
ejpam-5571	268	1	∠b(a	DATE
ejpam-5571	269	1	+ ∠p(x	PERSON
ejpam-5571	270	1	a′	ORG
ejpam-5571	270	2	c′	ORG
ejpam-5571	272	1	lemma 2	ORG
ejpam-5571	273	1	4	CARDINAL
ejpam-5571	274	1	a′	ORG
ejpam-5571	274	2	c′	ORG
ejpam-5571	275	1	6	CARDINAL
ejpam-5571	276	1	1	CARDINAL
ejpam-5571	279	1	2 √ k	TIME
ejpam-5571	279	2	a′	ORG
ejpam-5571	280	1	a′	ORG
ejpam-5571	280	2	2	CARDINAL
ejpam-5571	281	1	γ′.	DATE
ejpam-5571	281	2	ℓ(γ	ORG
ejpam-5571	282	1	π√ k	PERSON
ejpam-5571	282	2	c1	PERSON
ejpam-5571	282	3	c({p′	ORG
ejpam-5571	282	4	c′t+1	ORG
ejpam-5571	282	5	2	CARDINAL
ejpam-5571	282	6	3	DATE
ejpam-5571	282	7	1	CARDINAL
ejpam-5571	282	8	a′	ORG
ejpam-5571	282	9	∠p′(a ′	DATE
ejpam-5571	282	10	∠b(a	DATE
ejpam-5571	282	11	∠ct(a	PERSON
ejpam-5571	284	1	∠b(a	DATE
ejpam-5571	285	1	+ ∠p(x	PERSON
ejpam-5571	286	1	c1	PERSON
ejpam-5571	288	1	first	ORDINAL
ejpam-5571	289	1	a′	ORG
ejpam-5571	289	2	d(p	GPE
ejpam-5571	289	3	q′	PERSON
ejpam-5571	289	4	q′	PERSON
ejpam-5571	289	5	d(a	PERSON
ejpam-5571	290	1	d(a	GPE
ejpam-5571	291	1	+ d(q	PERSON
ejpam-5571	295	1	a′	ORG
ejpam-5571	295	2	a′	ORG
ejpam-5571	295	3	b′	ORG
ejpam-5571	296	1	4	DATE
ejpam-5571	296	2	a′	ORG
ejpam-5571	296	3	c′	ORG
ejpam-5571	297	1	c. phokaew	PERSON
ejpam-5571	297	2	a. sama-ae	PERSON
ejpam-5571	298	1	j. pure	PERSON
ejpam-5571	298	2	17	CARDINAL
ejpam-5571	298	3	4	CARDINAL
ejpam-5571	298	4	2024	CARDINAL
ejpam-5571	298	5	3932	CARDINAL
ejpam-5571	298	6	3944 3941	CARDINAL
ejpam-5571	300	1	2 √ k	TIME
ejpam-5571	300	2	a′	ORG
ejpam-5571	300	3	ℓ(γ	ORG
ejpam-5571	300	4	π√ k	PERSON
ejpam-5571	301	1	d(x	ORG
ejpam-5571	301	2	x′	DATE
ejpam-5571	301	3	∠p′(a ′	DATE
ejpam-5571	301	4	w	GPE
ejpam-5571	301	5	= ∠u(v	PERSON
ejpam-5571	301	6	w	GPE
ejpam-5571	302	1	w	GPE
ejpam-5571	302	2	= ∠u(v	PERSON
ejpam-5571	302	3	w	GPE
ejpam-5571	304	1	γ	GPE
ejpam-5571	306	1	first	ORDINAL
ejpam-5571	308	1	∪e∈γ	ORG
ejpam-5571	310	1	∪e∈γ	ORG
ejpam-5571	312	1	m1,m2 ∈	ORG
ejpam-5571	316	1	2	CARDINAL
ejpam-5571	316	2	two	CARDINAL
ejpam-5571	317	1	a′	ORG
ejpam-5571	318	1	ℓ(γa	ORG
ejpam-5571	318	2	ℓ(γa	ORG
ejpam-5571	319	1	ℓ(γe1e2	ORG
ejpam-5571	320	1	d(a	GPE
ejpam-5571	320	2	d(e2	PRODUCT
ejpam-5571	320	3	a′	ORG
ejpam-5571	322	1	∠p′(e	ORG
ejpam-5571	322	2	′ 1	DATE
ejpam-5571	323	1	∠p′(e	ORG
ejpam-5571	323	2	′ 2	DATE
ejpam-5571	324	1	∠p′(a ′	ORG
ejpam-5571	325	1	∠p′(a ′	DATE
ejpam-5571	325	2	∠p′(e	ORG
ejpam-5571	325	3	′ 1	DATE
ejpam-5571	326	1	∠p′(e	ORG
ejpam-5571	326	2	2	CARDINAL
ejpam-5571	327	1	∠p′(a ′	DATE
ejpam-5571	328	1	∠p′(e	ORG
ejpam-5571	328	2	′ 1	DATE
ejpam-5571	329	1	d(p	GPE
ejpam-5571	329	2	1	CARDINAL
ejpam-5571	329	3	d(p,m2	GPE
ejpam-5571	329	4	2	CARDINAL
ejpam-5571	329	5	2	CARDINAL
ejpam-5571	329	6	2	CARDINAL
ejpam-5571	330	1	ℓ(γe1e2	ORG
ejpam-5571	333	1	1,m	ORDINAL
ejpam-5571	333	2	2	CARDINAL
ejpam-5571	335	1	1,m	ORDINAL
ejpam-5571	339	1	c. phokaew	PERSON
ejpam-5571	339	2	a. sama-ae	PERSON
ejpam-5571	340	1	j. pure	PERSON
ejpam-5571	340	2	17	CARDINAL
ejpam-5571	340	3	4	CARDINAL
ejpam-5571	340	4	2024	CARDINAL
ejpam-5571	340	5	3932	CARDINAL
ejpam-5571	341	1	w	ORG
ejpam-5571	345	1	two	CARDINAL
ejpam-5571	345	2	2 ∈ γ′.	TIME
ejpam-5571	347	1	8	CARDINAL
ejpam-5571	349	1	2 √ k	TIME
ejpam-5571	349	2	rk	ORG
ejpam-5571	350	1	ℓ(γ	ORG
ejpam-5571	353	1	∠p′(a ′	DATE
ejpam-5571	353	2	a′	ORG
ejpam-5571	353	3	b′ ∈ γ′	ORG
ejpam-5571	353	4	w	GPE
ejpam-5571	353	5	= ∠u(v	PERSON
ejpam-5571	353	6	w	GPE
ejpam-5571	354	1	w	GPE
ejpam-5571	354	2	= ∠u(v	PERSON
ejpam-5571	354	3	w	GPE
ejpam-5571	356	1	c(γ	GPE
ejpam-5571	358	1	x′	DATE
ejpam-5571	358	2	π√ k	PERSON
ejpam-5571	359	1	d(x	ORG
ejpam-5571	360	1	c({p′} ∪	ORG
ejpam-5571	360	2	z′	ORG
ejpam-5571	360	3	z′	ORG
ejpam-5571	360	4	ℓ(γxz	PERSON
ejpam-5571	361	1	3	CARDINAL
ejpam-5571	361	2	j1	ORG
ejpam-5571	361	3	j2	ORG
ejpam-5571	362	1	c(γ	GPE
ejpam-5571	363	1	c(γ	GPE
ejpam-5571	365	1	c(γ	GPE
ejpam-5571	365	2	j2	ORG
ejpam-5571	366	1	c(γ	GPE
ejpam-5571	366	2	c(γ	GPE
ejpam-5571	368	1	3	CARDINAL
ejpam-5571	369	1	u2 = i(u′2	PERSON
ejpam-5571	371	1	2 ∈ c(γ′x′y′	QUANTITY
ejpam-5571	372	1	c. phokaew	GPE
ejpam-5571	372	2	a. sama-ae	PERSON
ejpam-5571	373	1	j. pure	PERSON
ejpam-5571	373	2	17	CARDINAL
ejpam-5571	373	3	4	CARDINAL
ejpam-5571	373	4	2024	CARDINAL
ejpam-5571	373	5	3932	CARDINAL
ejpam-5571	373	6	3943	PRODUCT
ejpam-5571	374	1	∈	ORG
ejpam-5571	374	2	∈	ORG
ejpam-5571	375	1	v2 ∈	PERSON
ejpam-5571	376	1	ℓ(γ′v′1v′2	ORG
ejpam-5571	378	1	j2	ORG
ejpam-5571	378	2	i. consequently	PERSON
ejpam-5571	382	1	c(γ	GPE
ejpam-5571	383	1	c(γxy ∪	GPE
ejpam-5571	384	1	c(γxy	GPE
ejpam-5571	386	1	j1	PERSON
ejpam-5571	386	2	j2	ORG
ejpam-5571	386	3	two	CARDINAL
ejpam-5571	386	4	w′ 1	FAC
ejpam-5571	386	5	two	CARDINAL
ejpam-5571	388	1	1w	CARDINAL
ejpam-5571	388	2	2	CARDINAL
ejpam-5571	388	3	1w	CARDINAL
ejpam-5571	388	4	2	CARDINAL
ejpam-5571	388	5	1y	CARDINAL
ejpam-5571	388	6	2	CARDINAL
ejpam-5571	389	1	1y ′	DATE
ejpam-5571	389	2	2y ′	DATE
ejpam-5571	389	3	j2	ORG
ejpam-5571	389	4	1w	CARDINAL
ejpam-5571	389	5	2	CARDINAL
ejpam-5571	389	6	i. consequently	PERSON
ejpam-5571	390	1	x′′	DATE
ejpam-5571	390	2	x′	DATE
ejpam-5571	391	1	′′	ORG
ejpam-5571	391	2	′′	ORG
ejpam-5571	392	1	′′	ORG
ejpam-5571	396	1	x̂	ORG
ejpam-5571	396	2	⊂	GPE
ejpam-5571	398	1	2w	CARDINAL
ejpam-5571	398	2	1w	CARDINAL
ejpam-5571	398	3	2	CARDINAL
ejpam-5571	399	1	c(γ	GPE
ejpam-5571	401	1	4.	CARDINAL
ejpam-5571	402	1	2 √ k	TIME
ejpam-5571	405	1	3944	CARDINAL
ejpam-5571	405	2	1	CARDINAL
ejpam-5571	406	1	geometrie der konvexen flächen	PERSON
ejpam-5571	407	1	akademie verlag	PERSON
ejpam-5571	407	2	berlin	GPE
ejpam-5571	407	3	1955	DATE
ejpam-5571	408	1	2	CARDINAL
ejpam-5571	409	1	verallgemeinerung der	ORG
ejpam-5571	409	2	riemannschen geometrie.	PERSON
ejpam-5571	410	1	schriftenreihe	PERSON
ejpam-5571	410	2	gebiet der mathematik	PERSON
ejpam-5571	410	3	1:33–84, 1957	DATE
ejpam-5571	411	1	3	CARDINAL
ejpam-5571	411	2	w. ballmann	PERSON
ejpam-5571	413	1	birkhauser	PERSON
ejpam-5571	413	2	basel	GPE
ejpam-5571	413	3	1995	DATE
ejpam-5571	414	1	4	CARDINAL
ejpam-5571	414	2	m.r. bridson	PERSON
ejpam-5571	414	3	a. haefliger	PERSON
ejpam-5571	416	1	heidelberg	GPE
ejpam-5571	416	2	1999	DATE
ejpam-5571	417	1	5	CARDINAL
ejpam-5571	417	2	burago	PERSON
ejpam-5571	417	3	s. ivanov	PERSON
ejpam-5571	419	1	33	DATE
ejpam-5571	420	1	american mathematical society	ORG
ejpam-5571	420	2	rhode island	GPE
ejpam-5571	420	3	2001	DATE
ejpam-5571	421	1	6	CARDINAL
ejpam-5571	421	2	burago	PERSON
ejpam-5571	421	3	m. gromov	PERSON
ejpam-5571	421	4	g. perel’man	PERSON
ejpam-5571	422	1	a.d.	ORG
ejpam-5571	424	1	russian	NORP
ejpam-5571	424	2	47(2):1–58, 1992	DATE
ejpam-5571	425	1	7	CARDINAL
ejpam-5571	425	2	c. li	PERSON
ejpam-5571	427	1	2010	DATE
ejpam-5571	428	1	8	CARDINAL
ejpam-5571	428	2	s. halbeisen	PERSON
ejpam-5571	430	1	manuscripta mathematica	PERSON
ejpam-5571	430	2	103:169–182,	DATE
ejpam-5571	430	3	2000	DATE
ejpam-5571	431	1	9	CARDINAL
ejpam-5571	431	2	v. schröder	PERSON
ejpam-5571	432	1	jung	PERSON
ejpam-5571	433	1	15:263–275, 1997	DATE
ejpam-5571	434	1	10	CARDINAL
ejpam-5571	434	2	n. lebedeva	PERSON
ejpam-5571	434	3	a. petrunin	PERSON
ejpam-5571	435	1	la	GPE
ejpam-5571	436	1	17:122–124, 2010	DATE
ejpam-5571	437	1	11	CARDINAL
ejpam-5571	439	1	1998	DATE
ejpam-5571	440	1	12	CARDINAL
ejpam-5571	440	2	a. sama-ae	PERSON
ejpam-5571	440	3	a. phon-on	PERSON
ejpam-5571	440	4	n. makaje	PERSON
ejpam-5571	440	5	a. hazanee	PERSON
ejpam-5571	441	1	two	CARDINAL
ejpam-5571	442	1	thai journal of mathematics	ORG
ejpam-5571	442	2	2022	CARDINAL
ejpam-5571	443	1	13	CARDINAL
ejpam-5571	443	2	t. yokota	GPE
ejpam-5571	445	1	mathematische annalen	PERSON
ejpam-5571	445	2	353:305–331	DATE
ejpam-5571	445	3	2012	DATE