id	sid	eid	entity	type
ap-6125	1	1	acta polytechnica	PERSON
ap-6125	1	2	61(si):148–154	CARDINAL
ap-6125	1	3	2021	CARDINAL
ap-6125	1	4	2021	CARDINAL
ap-6125	2	1	4.0	CARDINAL
ap-6125	2	2	the czech technical university	ORG
ap-6125	2	3	prague	GPE
ap-6125	2	4	karel segeth	PERSON
ap-6125	2	5	czech academy of sciences	ORG
ap-6125	2	6	25	CARDINAL
ap-6125	2	7	115	CARDINAL
ap-6125	2	8	czech	NORP
ap-6125	2	9	segeth@math.cas.cz	PERSON
ap-6125	7	1	2d	DATE
ap-6125	7	2	3d	CARDINAL
ap-6125	8	1	the piecewise polyharmonic	ORG
ap-6125	8	2	1d	CARDINAL
ap-6125	10	1	1	CARDINAL
ap-6125	12	1	first	ORDINAL
ap-6125	14	1	r(x	GPE
ap-6125	14	2	xj	GPE
ap-6125	15	1	1	CARDINAL
ap-6125	15	2	2	CARDINAL
ap-6125	18	1	piecewise polyharmonic	ORG
ap-6125	19	1	1d	CARDINAL
ap-6125	23	1	2	CARDINAL
ap-6125	26	1	sec	ORG
ap-6125	26	2	2	CARDINAL
ap-6125	26	3	sec	ORG
ap-6125	26	4	3	CARDINAL
ap-6125	26	5	sec	ORG
ap-6125	26	6	4	CARDINAL
ap-6125	27	1	sec	ORG
ap-6125	28	1	5	CARDINAL
ap-6125	29	1	2	CARDINAL
ap-6125	30	1	sec	ORG
ap-6125	30	2	6	CARDINAL
ap-6125	31	1	sec	ORG
ap-6125	31	2	7	CARDINAL
ap-6125	31	3	sec	ORG
ap-6125	31	4	8	CARDINAL
ap-6125	31	5	sec	ORG
ap-6125	31	6	9	CARDINAL
ap-6125	31	7	2	CARDINAL
ap-6125	31	8	2	CARDINAL
ap-6125	34	1	∈	ORG
ap-6125	36	1	∈ ω	ORG
ap-6125	36	2	xj	ORG
ap-6125	36	3	xj1	ORG
ap-6125	37	1	ω ∈ rn	ORG
ap-6125	38	1	ω	LOC
ap-6125	40	1	61	CARDINAL
ap-6125	40	2	ω	LOC
ap-6125	41	1	1	CARDINAL
ap-6125	43	1	j = 1	PERSON
ap-6125	45	1	1	CARDINAL
ap-6125	45	2	2	CARDINAL
ap-6125	46	1	z.	PERSON
ap-6125	47	1	1	CARDINAL
ap-6125	49	1	1	CARDINAL
ap-6125	50	1	wj	PERSON
ap-6125	50	2	j = 1	PERSON
ap-6125	51	1	∗	CARDINAL
ap-6125	51	2	1	CARDINAL
ap-6125	52	1	z.	PERSON
ap-6125	53	1	1	CARDINAL
ap-6125	55	1	3	CARDINAL
ap-6125	55	2	r(x	GPE
ap-6125	56	1	2	CARDINAL
ap-6125	58	1	2	CARDINAL
ap-6125	59	1	f̂	TIME
ap-6125	59	2	r(x	WORK_OF_ART
ap-6125	59	3	2	CARDINAL
ap-6125	62	1	xj	ORG
ap-6125	62	2	r(x	GPE
ap-6125	62	3	xj	GPE
ap-6125	62	4	xj	GPE
ap-6125	64	1	1	CARDINAL
ap-6125	68	1	3	CARDINAL
ap-6125	70	1	0	CARDINAL
ap-6125	70	2	1	CARDINAL
ap-6125	71	1	n.	PERSON
ap-6125	71	2	integer l	ORG
ap-6125	71	3	xj	PERSON
ap-6125	72	1	4	CARDINAL
ap-6125	72	2	f̂	TIME
ap-6125	72	3	r(x	WORK_OF_ART
ap-6125	72	4	sec	ORG
ap-6125	72	5	4	CARDINAL
ap-6125	73	1	1	CARDINAL
ap-6125	74	1	xαn	PERSON
ap-6125	75	1	1	CARDINAL
ap-6125	77	1	second	ORDINAL
ap-6125	77	2	4	CARDINAL
ap-6125	78	1	2	CARDINAL
ap-6125	80	1	1/ √	DATE
ap-6125	80	2	exp(−sr2	PERSON
ap-6125	80	3	r2 ln(r/s	PERSON
ap-6125	80	4	0	CARDINAL
ap-6125	81	1	4	CARDINAL
ap-6125	81	2	3	CARDINAL
ap-6125	82	1	r(x	PERSON
ap-6125	82	2	2	CARDINAL
ap-6125	83	1	1	CARDINAL
ap-6125	83	2	3	DATE
ap-6125	84	1	6	CARDINAL
ap-6125	84	2	2	CARDINAL
ap-6125	84	3	4	DATE
ap-6125	85	1	7	CARDINAL
ap-6125	87	1	0	CARDINAL
ap-6125	87	2	1 +	DATE
ap-6125	89	1	2	CARDINAL
ap-6125	90	1	2	CARDINAL
ap-6125	90	2	m. polyharmonic	PERSON
ap-6125	92	1	149	CARDINAL
ap-6125	92	2	karel segeth acta polytechnica theorem 1	PERSON
ap-6125	93	1	y ∈	PERSON
ap-6125	94	1	1 2	CARDINAL
ap-6125	99	1	r(x	PERSON
ap-6125	100	1	6	CARDINAL
ap-6125	100	2	7	CARDINAL
ap-6125	101	1	4	CARDINAL
ap-6125	102	1	5	CARDINAL
ap-6125	105	1	1d cubic	QUANTITY
ap-6125	105	2	3	CARDINAL
ap-6125	106	1	dx	ORG
ap-6125	107	1	1	CARDINAL
ap-6125	107	2	4	CARDINAL
ap-6125	107	3	2	CARDINAL
ap-6125	109	1	0	CARDINAL
ap-6125	110	1	at least one	CARDINAL
ap-6125	112	1	∈ ω	ORG
ap-6125	113	1	w̃	ORG
ap-6125	113	2	ω	CARDINAL
ap-6125	116	1	∫ ω ∂|α|g(x	ORG
ap-6125	116	2	1	CARDINAL
ap-6125	117	1	1	CARDINAL
ap-6125	119	1	9	CARDINAL
ap-6125	120	1	∫ ω	ORG
ap-6125	120	2	1	CARDINAL
ap-6125	122	1	10	CARDINAL
ap-6125	122	2	|g|l	ORG
ap-6125	123	1	0	CARDINAL
ap-6125	124	1	|g|0	GPE
ap-6125	125	1	|g|0	PERSON
ap-6125	126	1	0	CARDINAL
ap-6125	128	1	|g|l	ORG
ap-6125	129	1	5	CARDINAL
ap-6125	130	1	0	CARDINAL
ap-6125	131	1	11	CARDINAL
ap-6125	131	2	9	CARDINAL
ap-6125	131	3	10	CARDINAL
ap-6125	131	4	w̃/pl−1	TIME
ap-6125	131	5	zero	CARDINAL
ap-6125	132	1	w̃/pl−1	TIME
ap-6125	133	1	wl	PERSON
ap-6125	136	1	6=	CARDINAL
ap-6125	136	2	12	CARDINAL
ap-6125	138	1	13	CARDINAL
ap-6125	139	1	0	CARDINAL
ap-6125	139	2	4	CARDINAL
ap-6125	140	1	1	CARDINAL
ap-6125	141	1	14	CARDINAL
ap-6125	142	1	j = 1	PERSON
ap-6125	143	1	15	CARDINAL
ap-6125	144	1	16	CARDINAL
ap-6125	144	2	second	ORDINAL
ap-6125	144	3	14	CARDINAL
ap-6125	145	1	10	CARDINAL
ap-6125	146	1	1	CARDINAL
ap-6125	146	2	1	CARDINAL
ap-6125	146	3	2	CARDINAL
ap-6125	146	4	150	CARDINAL
ap-6125	147	1	61	CARDINAL
ap-6125	147	2	second	ORDINAL
ap-6125	148	1	∗ κ‖gκ‖2 l	ORG
ap-6125	148	2	11	CARDINAL
ap-6125	148	3	12	CARDINAL
ap-6125	148	4	13	CARDINAL
ap-6125	148	5	14	CARDINAL
ap-6125	149	1	1	CARDINAL
ap-6125	149	2	2	CARDINAL
ap-6125	149	3	|α|+ n−	ORG
ap-6125	149	4	1	CARDINAL
ap-6125	149	5	1	CARDINAL
ap-6125	151	1	|α|+ n−	ORG
ap-6125	151	2	1	CARDINAL
ap-6125	151	3	1	CARDINAL
ap-6125	151	4	14	CARDINAL
ap-6125	151	5	1	CARDINAL
ap-6125	152	1	5	CARDINAL
ap-6125	154	1	r(x	WORK_OF_ART
ap-6125	154	2	l (17	CARDINAL
ap-6125	154	3	ω	CARDINAL
ap-6125	154	4	r(x	PERSON
ap-6125	156	1	1	CARDINAL
ap-6125	159	1	φ	ORG
ap-6125	160	1	2	CARDINAL
ap-6125	160	2	r(x	PRODUCT
ap-6125	160	3	14	CARDINAL
ap-6125	161	1	2	CARDINAL
ap-6125	162	1	6=	CARDINAL
ap-6125	162	2	6=	CARDINAL
ap-6125	162	3	j.	PERSON
ap-6125	162	4	17	CARDINAL
ap-6125	162	5	r(x	PRODUCT
ap-6125	162	6	ω	CARDINAL
ap-6125	163	1	t (	ORG
ap-6125	164	1	14	CARDINAL
ap-6125	164	2	15	CARDINAL
ap-6125	164	3	16	CARDINAL
ap-6125	164	4	z(x	ORG
ap-6125	165	1	xj	GPE
ap-6125	165	2	18	CARDINAL
ap-6125	165	3	j = 1	PERSON
ap-6125	165	4	xj	ORG
ap-6125	167	1	1	CARDINAL
ap-6125	167	2	19	CARDINAL
ap-6125	167	3	0	CARDINAL
ap-6125	168	1	20	CARDINAL
ap-6125	169	1	2	CARDINAL
ap-6125	170	1	19	CARDINAL
ap-6125	170	2	20	CARDINAL
ap-6125	172	1	14	CARDINAL
ap-6125	172	2	r(x	PRODUCT
ap-6125	172	3	18	CARDINAL
ap-6125	173	1	6	CARDINAL
ap-6125	173	2	f(x	ORG
ap-6125	175	1	2π	CARDINAL
ap-6125	175	2	1	CARDINAL
ap-6125	177	1	2π	CARDINAL
ap-6125	178	1	ω̃	ORG
ap-6125	180	1	0	CARDINAL
ap-6125	185	1	3	CARDINAL
ap-6125	186	1	17	CARDINAL
ap-6125	186	2	r(x	PRODUCT
ap-6125	188	1	3	CARDINAL
ap-6125	189	1	u ≥ l	ORG
ap-6125	190	1	wl	PERSON
ap-6125	192	1	ω̃	ORG
ap-6125	192	2	21	CARDINAL
ap-6125	192	3	0,±1,±2	CARDINAL
ap-6125	193	1	1	CARDINAL
ap-6125	198	1	2	CARDINAL
ap-6125	199	1	151	CARDINAL
ap-6125	199	2	karel segeth acta polytechnica	PERSON
ap-6125	199	3	2	CARDINAL
ap-6125	199	4	3	CARDINAL
ap-6125	201	1	2	CARDINAL
ap-6125	202	1	21	CARDINAL
ap-6125	202	2	r(x	PRODUCT
ap-6125	203	1	∑ ρ gρ(x)g∗ρ(y	PERSON
ap-6125	204	1	l2(ω̃	PERSON
ap-6125	204	2	2π)n	CARDINAL
ap-6125	204	3	1	CARDINAL
ap-6125	205	1	ρ2αn	GPE
ap-6125	205	2	10	CARDINAL
ap-6125	206	1	r(x	PRODUCT
ap-6125	208	1	1 ‖gρ‖2 l	CARDINAL
ap-6125	208	2	23	CARDINAL
ap-6125	209	1	4	CARDINAL
ap-6125	210	1	22	CARDINAL
ap-6125	210	2	23	CARDINAL
ap-6125	210	3	5	CARDINAL
ap-6125	211	1	23	CARDINAL
ap-6125	211	2	r(x	PRODUCT
ap-6125	212	1	r(x	PRODUCT
ap-6125	212	2	23	CARDINAL
ap-6125	212	3	r(x	PERSON
ap-6125	213	1	7	CARDINAL
ap-6125	213	2	polyharmonic	ORG
ap-6125	213	3	2	CARDINAL
ap-6125	214	1	k(α	PERSON
ap-6125	216	1	24	CARDINAL
ap-6125	216	2	6= l	DATE
ap-6125	216	3	k(α	PERSON
ap-6125	216	4	2π)n	CARDINAL
ap-6125	217	1	6	CARDINAL
ap-6125	217	2	r(x	WORK_OF_ART
ap-6125	218	1	2l−n	CARDINAL
ap-6125	218	2	25	CARDINAL
ap-6125	218	3	r(x	WORK_OF_ART
ap-6125	218	4	2	CARDINAL
ap-6125	218	5	c22	ORG
ap-6125	218	6	r(x	PRODUCT
ap-6125	219	1	25	CARDINAL
ap-6125	219	2	the polyharmonic function	ORG
ap-6125	219	3	6	CARDINAL
ap-6125	219	4	the polyharmonic function	ORG
ap-6125	219	5	7	CARDINAL
ap-6125	219	6	2l−n	CARDINAL
ap-6125	220	1	2	CARDINAL
ap-6125	220	2	3	CARDINAL
ap-6125	220	3	2	CARDINAL
ap-6125	220	4	2l−n	CARDINAL
ap-6125	220	5	25	CARDINAL
ap-6125	221	1	r(x	PERSON
ap-6125	221	2	26	CARDINAL
ap-6125	222	1	27	CARDINAL
ap-6125	222	2	2l	CARDINAL
ap-6125	222	3	r(x	PRODUCT
ap-6125	222	4	6	CARDINAL
ap-6125	222	5	7	CARDINAL
ap-6125	223	1	8	CARDINAL
ap-6125	224	1	the polyharmonic interpolant consider	ORG
ap-6125	224	2	18	CARDINAL
ap-6125	224	3	r(x	PRODUCT
ap-6125	224	4	26	CARDINAL
ap-6125	224	5	27	CARDINAL
ap-6125	226	1	4	CARDINAL
ap-6125	227	1	0	CARDINAL
ap-6125	228	1	18	CARDINAL
ap-6125	229	1	8)	CARDINAL
ap-6125	229	2	⋃n j=1{x = xj}.	PERSON
ap-6125	231	1	1	CARDINAL
ap-6125	231	2	r(x	GPE
ap-6125	231	3	xj	GPE
ap-6125	231	4	xj	GPE
ap-6125	231	5	r(x	LANGUAGE
ap-6125	231	6	xj	GPE
ap-6125	231	7	xj	ORG
ap-6125	231	8	r(x	GPE
ap-6125	231	9	xj	GPE
ap-6125	231	10	1 2	CARDINAL
ap-6125	231	11	j = 1	PERSON
ap-6125	234	1	5	CARDINAL
ap-6125	235	1	2l	CARDINAL
ap-6125	237	1	18	CARDINAL
ap-6125	238	1	152	CARDINAL
ap-6125	239	1	61	CARDINAL
ap-6125	239	2	−0.8	GPE
ap-6125	239	3	−0.6	GPE
ap-6125	240	1	0.2 0.4 0.6 0.8 1	QUANTITY
ap-6125	241	1	1	CARDINAL
ap-6125	242	1	5	CARDINAL
ap-6125	243	1	29	CARDINAL
ap-6125	243	2	1	CARDINAL
ap-6125	243	3	1	CARDINAL
ap-6125	243	4	1	CARDINAL
ap-6125	245	1	18	CARDINAL
ap-6125	245	2	26	CARDINAL
ap-6125	245	3	27	CARDINAL
ap-6125	247	1	1	CARDINAL
ap-6125	250	1	⊂	GPE
ap-6125	252	1	9	CARDINAL
ap-6125	253	1	1	CARDINAL
ap-6125	253	2	the polyharmonic spline	ORG
ap-6125	253	3	1	CARDINAL
ap-6125	254	1	xj	GPE
ap-6125	254	2	k=0	PERSON
ap-6125	254	3	28	CARDINAL
ap-6125	254	4	18	CARDINAL
ap-6125	254	5	r(x	PERSON
ap-6125	254	6	26	CARDINAL
ap-6125	256	1	three	CARDINAL
ap-6125	256	2	the 1st	DATE
ap-6125	256	3	3rd	ORDINAL
ap-6125	257	1	third	ORDINAL
ap-6125	258	1	29	CARDINAL
ap-6125	258	2	ω	CARDINAL
ap-6125	259	1	−1	CARDINAL
ap-6125	259	2	1	CARDINAL
ap-6125	260	1	1	CARDINAL
ap-6125	260	2	3	CARDINAL
ap-6125	260	3	−1	DATE
ap-6125	262	1	1	CARDINAL
ap-6125	263	1	24	CARDINAL
ap-6125	263	2	k(α	GPE
ap-6125	263	3	1	CARDINAL
ap-6125	263	4	k(l	PERSON
ap-6125	263	5	1	CARDINAL
ap-6125	263	6	1	CARDINAL
ap-6125	264	1	1	CARDINAL
ap-6125	264	2	1	CARDINAL
ap-6125	264	3	1st	ORDINAL
ap-6125	264	4	16	CARDINAL
ap-6125	264	5	r(x	PRODUCT
ap-6125	265	1	2	CARDINAL
ap-6125	265	2	0	CARDINAL
ap-6125	266	1	28	CARDINAL
ap-6125	266	2	1	CARDINAL
ap-6125	266	3	4	CARDINAL
ap-6125	266	4	xj	ORG
ap-6125	266	5	j = 1	PERSON
ap-6125	266	6	2	DATE
ap-6125	266	7	3	DATE
ap-6125	267	1	sec	ORG
ap-6125	270	1	28	CARDINAL
ap-6125	270	2	z(x	ORG
ap-6125	271	1	1	CARDINAL
ap-6125	271	2	three	CARDINAL
ap-6125	271	3	x3	GPE
ap-6125	272	1	first	ORDINAL
ap-6125	273	1	28	CARDINAL
ap-6125	273	2	8)	CARDINAL
ap-6125	273	3	−1	DATE
ap-6125	273	4	1	CARDINAL
ap-6125	273	5	0	CARDINAL
ap-6125	274	1	lemma 1	ORG
ap-6125	274	2	z(x	ORG
ap-6125	274	3	28	CARDINAL
ap-6125	274	4	8)	CARDINAL
ap-6125	274	5	1	CARDINAL
ap-6125	274	6	1	CARDINAL
ap-6125	274	7	−1	DATE
ap-6125	274	8	1)\{0	CARDINAL
ap-6125	275	1	2	CARDINAL
ap-6125	275	2	1	CARDINAL
ap-6125	275	3	2nd	ORDINAL
ap-6125	275	4	r(x	GPE
ap-6125	276	1	28	CARDINAL
ap-6125	276	2	153	CARDINAL
ap-6125	276	3	karel segeth acta polytechnica	PERSON
ap-6125	277	1	1	CARDINAL
ap-6125	277	2	2	CARDINAL
ap-6125	277	3	4	CARDINAL
ap-6125	277	4	xj	ORG
ap-6125	277	5	j = 1	PERSON
ap-6125	277	6	2	DATE
ap-6125	277	7	3	DATE
ap-6125	279	1	28	CARDINAL
ap-6125	279	2	8)	CARDINAL
ap-6125	279	3	−1	DATE
ap-6125	279	4	1	CARDINAL
ap-6125	279	5	0	CARDINAL
ap-6125	280	1	lemma 1	ORG
ap-6125	280	2	z(x	ORG
ap-6125	280	3	8)	CARDINAL
ap-6125	280	4	2	CARDINAL
ap-6125	281	1	1	CARDINAL
ap-6125	281	2	3rd	ORDINAL
ap-6125	281	3	r(x	GPE
ap-6125	282	1	28	CARDINAL
ap-6125	283	1	1	CARDINAL
ap-6125	283	2	3	CARDINAL
ap-6125	283	3	4	CARDINAL
ap-6125	283	4	xj	ORG
ap-6125	283	5	j = 1	PERSON
ap-6125	283	6	2	DATE
ap-6125	283	7	3	DATE
ap-6125	284	1	28	CARDINAL
ap-6125	284	2	8)	CARDINAL
ap-6125	284	3	−1	DATE
ap-6125	284	4	1	CARDINAL
ap-6125	284	5	0	CARDINAL
ap-6125	285	1	lemma 1	ORG
ap-6125	285	2	z(x	ORG
ap-6125	285	3	8)	CARDINAL
ap-6125	285	4	3	CARDINAL
ap-6125	287	1	1	CARDINAL
ap-6125	288	1	2	CARDINAL
ap-6125	288	2	r(x	PERSON
ap-6125	289	1	first	ORDINAL
ap-6125	289	2	1	CARDINAL
ap-6125	290	1	second	ORDINAL
ap-6125	290	2	1	CARDINAL
ap-6125	291	1	1	CARDINAL
ap-6125	291	2	third	ORDINAL
ap-6125	292	1	1d	CARDINAL
ap-6125	293	1	2d	CARDINAL
ap-6125	293	2	3d	CARDINAL
ap-6125	294	1	10	CARDINAL
ap-6125	297	1	piecewise polyharmonic	ORG
ap-6125	298	1	linear algebraic system	FAC
ap-6125	299	1	67985840	DATE
ap-6125	299	2	czech	NORP
ap-6125	299	3	18-09628s	DATE
ap-6125	300	1	1	CARDINAL
ap-6125	300	2	a. talmi	PERSON
ap-6125	300	3	g. gilat	PERSON
ap-6125	302	1	23:93–123	DATE
ap-6125	302	2	1977	DATE
ap-6125	304	1	2	CARDINAL
ap-6125	304	2	k. segeth	PERSON
ap-6125	305	1	polyharmonic splines	ORG
ap-6125	306	1	78:3067–3076	CARDINAL
ap-6125	306	2	2019	DATE
ap-6125	307	1	doi:10.1016/j.camwa.2019.04.018	ORG
ap-6125	308	1	3	CARDINAL
ap-6125	308	2	k. segeth	PERSON
ap-6125	310	1	319:387–394	DATE
ap-6125	310	2	2018	DATE
ap-6125	311	1	doi:10.1016/j.amc.2017.04.022	ORG
ap-6125	312	1	4	CARDINAL
ap-6125	312	2	l. mitáš	PERSON
ap-6125	312	3	h. mitášová	PERSON
ap-6125	314	1	16:983–992, 1988	DATE
ap-6125	316	1	5	CARDINAL
ap-6125	316	2	k. segeth	PERSON
ap-6125	318	1	267:436–444	CARDINAL
ap-6125	318	2	2015	DATE
ap-6125	319	1	doi:10.1016	GPE
ap-6125	320	1	6	CARDINAL
ap-6125	320	2	s. g. krĕın	PERSON
ap-6125	320	3	ed	PERSON
ap-6125	321	1	russian	NORP
ap-6125	322	1	1st	ORDINAL
ap-6125	323	1	nauka	ORG
ap-6125	323	2	moskva	NORP
ap-6125	323	3	1964	DATE
ap-6125	324	1	154	CARDINAL
ap-6125	324	2	61(si):148–154	CARDINAL
ap-6125	324	3	2021 1	QUANTITY
ap-6125	324	4	2	CARDINAL
ap-6125	324	5	3	CARDINAL
ap-6125	324	6	4	CARDINAL
ap-6125	324	7	5	CARDINAL
ap-6125	324	8	6	CARDINAL
ap-6125	324	9	7	CARDINAL
ap-6125	324	10	8	CARDINAL
ap-6125	324	11	9	CARDINAL
ap-6125	324	12	10	CARDINAL