id	sid	eid	entity	type
ap-8536	1	1	acta polytechnica	PERSON
ap-8536	1	2	63(3):188–198	CARDINAL
ap-8536	1	3	2023	CARDINAL
ap-8536	1	4	2023	CARDINAL
ap-8536	2	1	4.0	CARDINAL
ap-8536	2	2	the czech technical university	ORG
ap-8536	2	3	prague	GPE
ap-8536	2	4	izabella ingrid	PERSON
ap-8536	2	5	farkasa	ORG
ap-8536	3	1	1117	CARDINAL
ap-8536	3	2	hungary	GPE
ap-8536	3	3	czech technical university	ORG
ap-8536	3	4	prague	GPE
ap-8536	3	5	13	CARDINAL
ap-8536	3	6	120	CARDINAL
ap-8536	3	7	prague	GPE
ap-8536	3	8	czech	NORP
ap-8536	3	9	∗	CARDINAL
ap-8536	3	10	edita.pelantova@fjfi.cvut.cz	PERSON
ap-8536	4	1	zm	ORG
ap-8536	5	1	1	CARDINAL
ap-8536	6	1	1	CARDINAL
ap-8536	9	1	1	CARDINAL
ap-8536	10	1	ten	CARDINAL
ap-8536	10	2	0	CARDINAL
ap-8536	10	3	1	CARDINAL
ap-8536	12	1	9	CARDINAL
ap-8536	12	2	europe	LOC
ap-8536	12	3	several centuries	DATE
ap-8536	15	1	a. cauchy	PERSON
ap-8536	16	1	1	CARDINAL
ap-8536	18	1	0	CARDINAL
ap-8536	18	2	1	CARDINAL
ap-8536	20	1	5	CARDINAL
ap-8536	21	1	v. grünwald	PERSON
ap-8536	22	1	2	CARDINAL
ap-8536	22	2	0	CARDINAL
ap-8536	22	3	1	CARDINAL
ap-8536	23	1	1957	DATE
ap-8536	23	2	a. rényi	PERSON
ap-8536	24	1	3	CARDINAL
ap-8536	24	2	1	CARDINAL
ap-8536	25	1	algebraic	PERSON
ap-8536	25	2	topological	ORG
ap-8536	26	1	4	CARDINAL
ap-8536	26	2	5	CARDINAL
ap-8536	27	1	the following years	DATE
ap-8536	28	1	knuth	PERSON
ap-8536	29	1	6	CARDINAL
ap-8536	29	2	two	CARDINAL
ap-8536	30	1	8	CARDINAL
ap-8536	30	2	9	CARDINAL
ap-8536	32	1	one	CARDINAL
ap-8536	33	1	eleven	CARDINAL
ap-8536	35	1	two	CARDINAL
ap-8536	36	1	a. avizienis	PERSON
ap-8536	37	1	2	CARDINAL
ap-8536	38	1	avizienis	PERSON
ap-8536	38	2	10	CARDINAL
ap-8536	38	3	3	CARDINAL
ap-8536	40	1	∈ zm×m	PERSON
ap-8536	41	1	11	CARDINAL
ap-8536	41	2	12	CARDINAL
ap-8536	41	3	a. vince	PERSON
ap-8536	41	4	∈ zm×m	PERSON
ap-8536	41	5	zm	ORG
ap-8536	42	1	∈	ORG
ap-8536	42	2	zm	ORG
ap-8536	44	1	63	CARDINAL
ap-8536	46	1	3/2023	CARDINAL
ap-8536	47	1	a. kovács	PERSON
ap-8536	47	2	13	CARDINAL
ap-8536	50	1	j. jankauskas	PERSON
ap-8536	50	2	j. thuswaldner	PERSON
ap-8536	51	1	14	CARDINAL
ap-8536	51	2	∈	ORG
ap-8536	53	1	15	CARDINAL
ap-8536	53	2	∈ zm×m	PERSON
ap-8536	53	3	zm	ORG
ap-8536	53	4	zm ⊂	ORG
ap-8536	53	5	1	CARDINAL
ap-8536	56	1	9	CARDINAL
ap-8536	57	1	15	CARDINAL
ap-8536	59	1	21	DATE
ap-8536	59	2	zm	ORG
ap-8536	61	1	dj)n	GPE
ap-8536	62	1	22	CARDINAL
ap-8536	64	1	2	CARDINAL
ap-8536	64	2	1	CARDINAL
ap-8536	64	3	⊂	GPE
ap-8536	64	4	j=−∞ ajβj	PERSON
ap-8536	64	5	aj ∈	PERSON
ap-8536	64	6	j ≤ n	PERSON
ap-8536	65	1	1	CARDINAL
ap-8536	65	2	aj ∈ a. w. penney	PERSON
ap-8536	67	1	1	CARDINAL
ap-8536	69	1	1	CARDINAL
ap-8536	69	2	penney	ORG
ap-8536	69	3	1	CARDINAL
ap-8536	70	1	∈	ORG
ap-8536	70	2	a1	PRODUCT
ap-8536	72	1	∈	ORG
ap-8536	72	2	0	CARDINAL
ap-8536	72	3	1	CARDINAL
ap-8536	72	4	2	CARDINAL
ap-8536	73	1	j=−∞ ajβj	PERSON
ap-8536	73	2	aj ∈	PERSON
ap-8536	73	3	0	CARDINAL
ap-8536	73	4	1	CARDINAL
ap-8536	73	5	j ≤ n.	PERSON
ap-8536	74	1	∈ zm×m	PERSON
ap-8536	76	1	15	CARDINAL
ap-8536	76	2	zm	ORG
ap-8536	76	3	2	CARDINAL
ap-8536	76	4	zero	CARDINAL
ap-8536	77	1	3	CARDINAL
ap-8536	77	2	first	ORDINAL
ap-8536	78	1	1	CARDINAL
ap-8536	79	1	second	ORDINAL
ap-8536	80	1	•	CARDINAL
ap-8536	82	1	⊂	GPE
ap-8536	82	2	⋃	DATE
ap-8536	82	3	k∈n	GPE
ap-8536	82	4	zm	ORG
ap-8536	83	1	•	CARDINAL
ap-8536	83	2	∈	ORG
ap-8536	83	3	mpx ∈ zm	ORG
ap-8536	83	4	mpy ∈ zm	ORG
ap-8536	83	5	mp(x ± y	PERSON
ap-8536	85	1	2	CARDINAL
ap-8536	85	2	mp(x ± y	PERSON
ap-8536	85	3	±	CARDINAL
ap-8536	85	4	∈	ORG
ap-8536	86	1	jdj	ORG
ap-8536	88	1	zero	CARDINAL
ap-8536	88	2	∈	ORG
ap-8536	89	1	•	CARDINAL
ap-8536	90	1	ds0ω	LOC
ap-8536	90	2	zero	CARDINAL
ap-8536	90	3	•. 189 i. farkas	ORG
ap-8536	90	4	e. pelantová	PERSON
ap-8536	90	5	m. svobodová acta polytechnica	PERSON
ap-8536	91	1	penney	ORG
ap-8536	91	2	1	CARDINAL
ap-8536	92	1	2	CARDINAL
ap-8536	92	2	1	CARDINAL
ap-8536	93	1	∈	ORG
ap-8536	93	2	z2×2	PRODUCT
ap-8536	94	1	∈	ORG
ap-8536	94	2	c)⊤ ∈ z2	PRODUCT
ap-8536	98	1	7→	CARDINAL
ap-8536	98	2	ξ(b	PRODUCT
ap-8536	99	1	c)⊤	PRODUCT
ap-8536	99	2	∈	ORG
ap-8536	100	1	4	CARDINAL
ap-8536	103	1	ξ(β	GPE
ap-8536	104	1	z[ı	PRODUCT
ap-8536	105	1	5	CARDINAL
ap-8536	105	2	∈	ORG
ap-8536	105	3	aj ∈	PERSON
ap-8536	105	4	0	CARDINAL
ap-8536	105	5	1	CARDINAL
ap-8536	108	1	ξ(aj	DATE
ap-8536	108	2	1	CARDINAL
ap-8536	108	3	ξ(0	ORG
ap-8536	108	4	ξ(1	PERSON
ap-8536	109	1	penney	ORG
ap-8536	109	2	1	CARDINAL
ap-8536	109	3	0	CARDINAL
ap-8536	109	4	0)⊤	GPE
ap-8536	109	5	1	CARDINAL
ap-8536	109	6	∈	ORG
ap-8536	111	1	3	CARDINAL
ap-8536	113	1	∈	ORG
ap-8536	114	1	x1x0•x−1x−2	PERSON
ap-8536	114	2	xs0ω	PERSON
ap-8536	116	1	x0 + y0	ORG
ap-8536	116	2	•	DATE
ap-8536	119	1	firstly	ORDINAL
ap-8536	119	2	16	CARDINAL
ap-8536	120	1	3	CARDINAL
ap-8536	125	1	uj)j∈z ∈ az	PERSON
ap-8536	125	2	uj−r	DATE
ap-8536	126	1	φ	ORG
ap-8536	129	1	4	DATE
ap-8536	129	2	∈ zm×m	PERSON
ap-8536	129	3	zm	ORG
ap-8536	129	4	1	CARDINAL
ap-8536	130	1	uj)j∈z ∈ az	PERSON
ap-8536	130	2	non-zero	CARDINAL
ap-8536	130	3	non-zero	CARDINAL
ap-8536	130	4	2	CARDINAL
ap-8536	134	1	two	CARDINAL
ap-8536	134	2	5	CARDINAL
ap-8536	135	1	zm	ORG
ap-8536	136	1	d′	PERSON
ap-8536	136	2	d′ ⊂ zm	PERSON
ap-8536	137	1	d′ ∈ d′	PERSON
ap-8536	137	2	d′ = ∑ j∈i(d′	PERSON
ap-8536	138	1	∈	ORG
ap-8536	140	1	d′ ∈ d′	PERSON
ap-8536	140	2	∈	ORG
ap-8536	141	1	190	CARDINAL
ap-8536	141	2	63	CARDINAL
ap-8536	142	1	3/2023	CARDINAL
ap-8536	142	2	0ωd′	CARDINAL
ap-8536	142	3	d′	PERSON
ap-8536	142	4	0 •	CARDINAL
ap-8536	142	5	d′	PERSON
ap-8536	142	6	d′	PERSON
ap-8536	143	1	∈	PRODUCT
ap-8536	145	1	2q+1)−times	LOC
ap-8536	146	1	two	CARDINAL
ap-8536	146	2	2(2q	CARDINAL
ap-8536	147	1	two	CARDINAL
ap-8536	147	2	2(2q	CARDINAL
ap-8536	147	3	⊂	GPE
ap-8536	147	4	5.1	CARDINAL
ap-8536	147	5	17	CARDINAL
ap-8536	149	1	18	CARDINAL
ap-8536	151	1	6	CARDINAL
ap-8536	154	1	∈	ORG
ap-8536	154	2	1	CARDINAL
ap-8536	156	1	n.	PERSON
ap-8536	158	1	clx l	ORG
ap-8536	158	2	one	CARDINAL
ap-8536	158	3	1	CARDINAL
ap-8536	159	1	6	CARDINAL
ap-8536	159	2	1	CARDINAL
ap-8536	159	3	1	CARDINAL
ap-8536	162	1	0	CARDINAL
ap-8536	163	1	∈ zm×m	PERSON
ap-8536	163	2	1	CARDINAL
ap-8536	166	1	clx l	ORG
ap-8536	166	2	one	CARDINAL
ap-8536	166	3	4	CARDINAL
ap-8536	166	4	7	CARDINAL
ap-8536	166	5	4	CARDINAL
ap-8536	166	6	0	CARDINAL
ap-8536	166	7	1	DATE
ap-8536	166	8	2	DATE
ap-8536	166	9	3	CARDINAL
ap-8536	169	1	hamilton	PERSON
ap-8536	169	2	6	CARDINAL
ap-8536	169	3	16	CARDINAL
ap-8536	171	1	clx l ∈	ORG
ap-8536	171	2	16	CARDINAL
ap-8536	171	3	0	CARDINAL
ap-8536	172	1	1	CARDINAL
ap-8536	174	1	4	CARDINAL
ap-8536	174	2	0	CARDINAL
ap-8536	174	3	1	DATE
ap-8536	174	4	2	DATE
ap-8536	174	5	3	CARDINAL
ap-8536	174	6	16 p−1∑ l=0,l ̸=l	QUANTITY
ap-8536	174	7	4	CARDINAL
ap-8536	174	8	3 p−1∑ l=0,l ̸=l	QUANTITY
ap-8536	174	9	4	CARDINAL
ap-8536	174	10	3 + p−1∑ l=0,l ̸=l	QUANTITY
ap-8536	174	11	4	CARDINAL
ap-8536	175	1	8	CARDINAL
ap-8536	176	1	2	CARDINAL
ap-8536	176	2	f(x	ORG
ap-8536	182	1	2x	CARDINAL
ap-8536	182	2	7	CARDINAL
ap-8536	182	3	0	CARDINAL
ap-8536	183	1	∈ zm×m	PERSON
ap-8536	184	1	1	CARDINAL
ap-8536	185	1	zm ⊂	ORG
ap-8536	189	1	clx l	ORG
ap-8536	189	2	7	CARDINAL
ap-8536	190	1	4 ⌋ ≥ 1	DATE
ap-8536	191	1	3k)m	DATE
ap-8536	192	1	two	CARDINAL
ap-8536	193	1	−2k	ORG
ap-8536	193	2	2k)m	CARDINAL
ap-8536	194	1	−1	CARDINAL
ap-8536	194	2	1]m	CARDINAL
ap-8536	194	3	∩ zm	LAW
ap-8536	195	1	⊂	GPE
ap-8536	198	1	jbj	PERSON
ap-8536	198	2	aj	PERSON
ap-8536	198	3	∈	ORG
ap-8536	198	4	aj	PERSON
ap-8536	199	1	j ∈ z. clearly	PERSON
ap-8536	199	2	aj +	PERSON
ap-8536	199	3	∈	ORG
ap-8536	199	4	qj ∈	PERSON
ap-8536	199	5	aj +	PERSON
ap-8536	200	1	j(aj + bj)=	PERSON
ap-8536	202	1	g(m	PERSON
ap-8536	203	1	∑	PERSON
ap-8536	204	1	j∈z m j	PERSON
ap-8536	207	1	zj	ORG
ap-8536	208	1	9	CARDINAL
ap-8536	209	1	zj	ORG
ap-8536	209	2	4kqj︸	CARDINAL
ap-8536	212	1	191	CARDINAL
ap-8536	212	2	i. farkas	PERSON
ap-8536	212	3	e. pelantová	PERSON
ap-8536	212	4	m. svobodová acta polytechnica	PERSON
ap-8536	212	5	0	CARDINAL
ap-8536	212	6	1	DATE
ap-8536	214	1	7	CARDINAL
ap-8536	215	1	4	CARDINAL
ap-8536	216	1	d′ +	PERSON
ap-8536	217	1	3k)m	DATE
ap-8536	217	2	zj	ORG
ap-8536	217	3	∈	ORG
ap-8536	217	4	zj	ORG
ap-8536	217	5	aj	PERSON
ap-8536	220	1	qj	ORG
ap-8536	220	2	aj	PERSON
ap-8536	221	1	zj	ORG
ap-8536	222	1	1	CARDINAL
ap-8536	222	2	4	CARDINAL
ap-8536	222	3	zj	ORG
ap-8536	222	4	j ∈ z.	PERSON
ap-8536	222	5	d′	PERSON
ap-8536	222	6	qj	ORG
ap-8536	223	1	aj =	PERSON
ap-8536	223	2	0	CARDINAL
ap-8536	224	1	9	CARDINAL
ap-8536	224	2	zj	ORG
ap-8536	224	3	j ∈ z.	PERSON
ap-8536	224	4	−1	DATE
ap-8536	226	1	two	CARDINAL
ap-8536	226	2	jaj	PERSON
ap-8536	227	1	jbj	PERSON
ap-8536	227	2	three	CARDINAL
ap-8536	228	1	zm ⊂	ORG
ap-8536	229	1	⊂	GPE
ap-8536	229	2	d.	NORP
ap-8536	229	3	10	CARDINAL
ap-8536	231	1	non-zero	CARDINAL
ap-8536	235	1	aj	PERSON
ap-8536	235	2	zero	CARDINAL
ap-8536	235	3	0	CARDINAL
ap-8536	236	1	9	CARDINAL
ap-8536	236	2	zj	ORG
ap-8536	236	3	zj	ORG
ap-8536	236	4	zero	CARDINAL
ap-8536	239	1	l − 1	DATE
ap-8536	239	2	11	CARDINAL
ap-8536	239	3	∈	ORG
ap-8536	239	4	z2×2	PRODUCT
ap-8536	240	1	8	CARDINAL
ap-8536	242	1	+ 4	DATE
ap-8536	242	2	4	CARDINAL
ap-8536	242	3	9	CARDINAL
ap-8536	243	1	4	CARDINAL
ap-8536	243	2	1	CARDINAL
ap-8536	244	1	3)2	CARDINAL
ap-8536	244	2	∩ z2	PERSON
ap-8536	244	3	36	CARDINAL
ap-8536	246	1	9	CARDINAL
ap-8536	246	2	qj	CARDINAL
ap-8536	246	3	aj	PERSON
ap-8536	249	1	12	CARDINAL
ap-8536	251	1	19	CARDINAL
ap-8536	251	2	7	CARDINAL
ap-8536	251	3	0	CARDINAL
ap-8536	251	4	±1	PERSON
ap-8536	252	1	7	CARDINAL
ap-8536	252	2	φ	ORG
ap-8536	252	3	7	CARDINAL
ap-8536	254	1	∈	ORG
ap-8536	255	1	∈	ORG
ap-8536	256	1	zj	ORG
ap-8536	256	2	wj	PERSON
ap-8536	256	3	+ qj−1	DATE
ap-8536	260	1	φ	ORG
ap-8536	260	2	φ′	DATE
ap-8536	261	1	q′	PERSON
ap-8536	262	1	7→	CARDINAL
ap-8536	262	2	2	CARDINAL
ap-8536	262	3	ξ−1	DATE
ap-8536	263	1	ξ−1	DATE
ap-8536	264	1	7	CARDINAL
ap-8536	264	2	7	CARDINAL
ap-8536	264	3	#d =	MONEY
ap-8536	265	1	5	CARDINAL
ap-8536	266	1	5	CARDINAL
ap-8536	266	2	0	CARDINAL
ap-8536	266	3	0)⊤	GPE
ap-8536	266	4	1	CARDINAL
ap-8536	266	5	0)⊤	GPE
ap-8536	266	6	−1	DATE
ap-8536	266	7	0)⊤	GPE
ap-8536	266	8	0	CARDINAL
ap-8536	266	9	1)⊤	DATE
ap-8536	266	10	0	CARDINAL
ap-8536	266	11	20	CARDINAL
ap-8536	266	12	5	CARDINAL
ap-8536	266	13	1	CARDINAL
ap-8536	267	1	#	CARDINAL
ap-8536	267	2	5	CARDINAL
ap-8536	268	1	12	CARDINAL
ap-8536	269	1	qj	CARDINAL
ap-8536	272	1	wj−5	PERSON
ap-8536	272	2	136	CARDINAL
ap-8536	273	1	5 to 9	CARDINAL
ap-8536	274	1	13	CARDINAL
ap-8536	275	1	9	CARDINAL
ap-8536	276	1	0	CARDINAL
ap-8536	277	1	q̃	ORG
ap-8536	277	2	d̃	ORG
ap-8536	278	1	∈ q̃	ORG
ap-8536	278	2	q̃	ORG
ap-8536	278	3	∈ d̃	ORG
ap-8536	278	4	d̃	ORG
ap-8536	278	5	7→ d̃	ORG
ap-8536	278	6	∈ q̃	ORG
ap-8536	278	7	∈ d̃	ORG
ap-8536	279	1	192	CARDINAL
ap-8536	279	2	63	CARDINAL
ap-8536	280	1	3/2023	CARDINAL
ap-8536	280	2	q̃	ORG
ap-8536	280	3	d̃	ORG
ap-8536	280	4	±	CARDINAL
ap-8536	280	5	1	CARDINAL
ap-8536	280	6	±	CARDINAL
ap-8536	280	7	0 1	DATE
ap-8536	280	8	±	CARDINAL
ap-8536	280	9	1 1	DATE
ap-8536	280	10	±	CARDINAL
ap-8536	280	11	1 −1	CARDINAL
ap-8536	281	1	w̃	ORG
ap-8536	281	2	d̃ + d̃	ORG
ap-8536	282	1	0	CARDINAL
ap-8536	282	2	±1	PERSON
ap-8536	282	3	25	CARDINAL
ap-8536	282	4	2	CARDINAL
ap-8536	282	5	w̃	ORG
ap-8536	282	6	w̃0	GPE
ap-8536	282	7	w̃3	GPE
ap-8536	282	8	1 0	DATE
ap-8536	282	9	2 0	DATE
ap-8536	282	10	1 1	CARDINAL
ap-8536	282	11	2 1	DATE
ap-8536	282	12	1 2	CARDINAL
ap-8536	282	13	2 2	CARDINAL
ap-8536	282	14	1	CARDINAL
ap-8536	282	15	2	DATE
ap-8536	282	16	3	DATE
ap-8536	283	1	d̃	ORG
ap-8536	283	2	q̃	ORG
ap-8536	283	3	w̃	ORG
ap-8536	283	4	d̃ + d̃	ORG
ap-8536	284	1	rkw̃j	ORG
ap-8536	287	1	q̃	ORG
ap-8536	288	1	• q̃	EVENT
ap-8536	288	2	2 0	DATE
ap-8536	289	1	0 1	CARDINAL
ap-8536	289	2	• q̃	EVENT
ap-8536	289	3	2 2	DATE
ap-8536	289	4	−1 1	DATE
ap-8536	289	5	• q̃	EVENT
ap-8536	289	6	0	CARDINAL
ap-8536	289	7	• q̃	WORK_OF_ART
ap-8536	290	1	0 1	DATE
ap-8536	290	2	•	CARDINAL
ap-8536	290	3	0	CARDINAL
ap-8536	290	4	• q̃	WORK_OF_ART
ap-8536	291	1	−1 1	DATE
ap-8536	291	2	•	CARDINAL
ap-8536	291	3	2 1	DATE
ap-8536	292	1	0 1	DATE
ap-8536	292	2	•	CARDINAL
ap-8536	292	3	2 1	DATE
ap-8536	292	4	−1 1	DATE
ap-8536	292	5	0	CARDINAL
ap-8536	292	6	•	CARDINAL
ap-8536	292	7	• q̃	WORK_OF_ART
ap-8536	292	8	0	CARDINAL
ap-8536	292	9	•	CARDINAL
ap-8536	292	10	0 1	DATE
ap-8536	292	11	•	CARDINAL
ap-8536	292	12	−1 1	DATE
ap-8536	294	1	∈	ORG
ap-8536	294	2	d̃.	NORP
ap-8536	294	3	z̃	ORG
ap-8536	294	4	j z̃j	PERSON
ap-8536	294	5	z̃	ORG
ap-8536	294	6	j∈z m	ORG
ap-8536	296	1	j q̃j−2 − ∑	PERSON
ap-8536	298	1	j q̃j−2 − ∑	PERSON
ap-8536	300	1	14	CARDINAL
ap-8536	301	1	∈ zm×m	PERSON
ap-8536	302	1	at least one	CARDINAL
ap-8536	302	2	1	CARDINAL
ap-8536	307	1	am−1 ∈	PERSON
ap-8536	307	2	z[λ	CARDINAL
ap-8536	307	3	7→	CARDINAL
ap-8536	307	4	ξ(a0 +	DATE
ap-8536	307	5	a1	PRODUCT
ap-8536	309	1	am−1)⊤	ORG
ap-8536	311	1	ξ(a	GPE
ap-8536	313	1	1	CARDINAL
ap-8536	313	2	0	DATE
ap-8536	314	1	0)⊤.	CARDINAL
ap-8536	314	2	∈	ORG
ap-8536	314	3	21	CARDINAL
ap-8536	315	1	9	CARDINAL
ap-8536	315	2	∈ zm	ORG
ap-8536	316	1	15	CARDINAL
ap-8536	316	2	1	CARDINAL
ap-8536	316	3	zm	ORG
ap-8536	318	1	15	CARDINAL
ap-8536	319	1	∈ zm×m	PERSON
ap-8536	319	2	zm	ORG
ap-8536	321	1	lemma 5	ORG
ap-8536	321	2	d.	NORP
ap-8536	322	1	1	CARDINAL
ap-8536	323	1	m⊤u	ORG
ap-8536	324	1	1	CARDINAL
ap-8536	324	2	1	CARDINAL
ap-8536	326	1	max	PERSON
ap-8536	326	2	∣∣p−1∑ j=0 λj v⊤dj	PERSON
ap-8536	327	1	1	CARDINAL
ap-8536	327	2	ℜ(λj	PERSON
ap-8536	327	3	1 2	CARDINAL
ap-8536	328	1	n ∈ n	ORG
ap-8536	330	1	εn−1 ∈	PERSON
ap-8536	330	2	0	CARDINAL
ap-8536	330	3	1	CARDINAL
ap-8536	330	4	193	CARDINAL
ap-8536	330	5	i. farkas	PERSON
ap-8536	330	6	e. pelantová	PERSON
ap-8536	330	7	m. svobodová acta polytechnica	PERSON
ap-8536	330	8	2s	CARDINAL
ap-8536	331	1	j=0	GPE
ap-8536	331	2	xj ∈	ORG
ap-8536	331	3	max	PERSON
ap-8536	332	1	max	PERSON
ap-8536	333	1	1	CARDINAL
ap-8536	333	2	j=0 εjλj	PERSON
ap-8536	334	1	2s	CARDINAL
ap-8536	335	1	10	CARDINAL
ap-8536	335	2	zj	ORG
ap-8536	335	3	∈	PRODUCT
ap-8536	337	1	j=n	PERSON
ap-8536	342	1	j zj+λ−p	PERSON
ap-8536	343	1	11	CARDINAL
ap-8536	343	2	v⊤(n−1∑ j=0 m	FAC
ap-8536	343	3	j zj	PERSON
ap-8536	344	1	11	CARDINAL
ap-8536	344	2	1	CARDINAL
ap-8536	344	3	2|ℜ(v⊤x)|	CARDINAL
ap-8536	344	4	2s + |ℜ(v⊤x)|	DATE
ap-8536	344	5	10	CARDINAL
ap-8536	345	1	4	CARDINAL
ap-8536	345	2	22	CARDINAL
ap-8536	345	3	1	CARDINAL
ap-8536	345	4	j=−∞ ajβj	PERSON
ap-8536	346	1	first	ORDINAL
ap-8536	346	2	aj	PERSON
ap-8536	347	1	∈ zm×m	PERSON
ap-8536	347	2	m−1	PRODUCT
ap-8536	348	1	1	CARDINAL
ap-8536	348	2	23	CARDINAL
ap-8536	349	1	two	CARDINAL
ap-8536	349	2	∥ax∥c	PERSON
ap-8536	351	1	∈	ORG
ap-8536	352	1	dj)n	NORP
ap-8536	352	2	⊂	GPE
ap-8536	352	3	∑n j=−∞ m j dj	ORG
ap-8536	352	4	j dj	PERSON
ap-8536	353	1	∞ n=0	PERSON
ap-8536	359	1	j=−n−q m j dj	PERSON
ap-8536	361	1	j=−n−q m j	PERSON
ap-8536	363	1	n+q∑	ORG
ap-8536	364	1	n+q∑	ORG
ap-8536	364	2	1	CARDINAL
ap-8536	364	3	n0 ∈	ORG
ap-8536	364	4	lim	PERSON
ap-8536	364	5	∑n j=−n m	ORG
ap-8536	364	6	jdj	ORG
ap-8536	364	7	as∑n j=−∞ m jdj .	ORG
ap-8536	368	1	rm	GPE
ap-8536	369	1	24	CARDINAL
ap-8536	369	2	16	DATE
ap-8536	371	1	∈	ORG
ap-8536	371	2	n ∈ n	ORG
ap-8536	371	3	0	CARDINAL
ap-8536	371	4	1	CARDINAL
ap-8536	375	1	194	CARDINAL
ap-8536	376	1	63	CARDINAL
ap-8536	377	1	3/2023	CARDINAL
ap-8536	377	2	two	CARDINAL
ap-8536	377	3	i. e.	PERSON
ap-8536	379	1	17	CARDINAL
ap-8536	380	1	13	CARDINAL
ap-8536	380	2	1	CARDINAL
ap-8536	382	1	2	CARDINAL
ap-8536	383	1	3	CARDINAL
ap-8536	388	1	l. germán	PERSON
ap-8536	388	2	a. kovács	PERSON
ap-8536	388	3	24	CARDINAL
ap-8536	389	1	18	CARDINAL
ap-8536	390	1	24	CARDINAL
ap-8536	391	1	7→	CARDINAL
ap-8536	392	1	m−1	PERSON
ap-8536	392	2	less than 1 2	CARDINAL
ap-8536	392	3	⊂	GPE
ap-8536	393	1	⊂	GPE
ap-8536	393	2	zm	ORG
ap-8536	395	1	zm	ORG
ap-8536	395	2	zm	ORG
ap-8536	395	3	∈ zm×m	PERSON
ap-8536	396	1	•	CARDINAL
ap-8536	396	2	k(1	ORG
ap-8536	396	3	0	DATE
ap-8536	398	1	0)⊤	GPE
ap-8536	399	1	k ∈ z	PERSON
ap-8536	399	2	0 ≤	QUANTITY
ap-8536	401	1	•	CARDINAL
ap-8536	401	2	k(1	ORG
ap-8536	401	3	0	DATE
ap-8536	403	1	0)⊤	GPE
ap-8536	404	1	k ∈ z	PERSON
ap-8536	405	1	•	CARDINAL
ap-8536	407	1	•	CARDINAL
ap-8536	407	2	adjoint	ORG
ap-8536	408	1	1 2	CARDINAL
ap-8536	408	2	25	CARDINAL
ap-8536	409	1	zm	ORG
ap-8536	410	1	rm	GPE
ap-8536	411	1	first	ORDINAL
ap-8536	413	1	dj)n	GPE
ap-8536	414	1	∈	ORG
ap-8536	415	1	19	CARDINAL
ap-8536	416	1	∈ zm×m	PERSON
ap-8536	418	1	∈	ORG
ap-8536	419	1	first	ORDINAL
ap-8536	419	2	0 •	EVENT
ap-8536	420	1	d−p)ω	ORG
ap-8536	425	1	j ∈ n	PERSON
ap-8536	428	1	∈	ORG
ap-8536	430	1	mkx	GPE
ap-8536	432	1	0 •	DATE
ap-8536	433	1	d−p)ω	PERSON
ap-8536	436	1	19	CARDINAL
ap-8536	437	1	20	CARDINAL
ap-8536	447	1	d.	NORP
ap-8536	449	1	21	DATE
ap-8536	452	1	9	CARDINAL
ap-8536	452	2	5	CARDINAL
ap-8536	453	1	19	CARDINAL
ap-8536	453	2	⊂	GPE
ap-8536	454	1	zm	ORG
ap-8536	454	2	1	CARDINAL
ap-8536	454	3	zero	CARDINAL
ap-8536	455	1	195	CARDINAL
ap-8536	455	2	i. farkas	PERSON
ap-8536	455	3	e. pelantová	PERSON
ap-8536	455	4	m. svobodová acta polytechnica	PERSON
ap-8536	455	5	first	ORDINAL
ap-8536	455	6	∈	ORG
ap-8536	455	7	1	CARDINAL
ap-8536	455	8	2	DATE
ap-8536	457	1	1	CARDINAL
ap-8536	459	1	∈	PRODUCT
ap-8536	460	1	m3	PERSON
ap-8536	461	1	two	CARDINAL
ap-8536	462	1	0	CARDINAL
ap-8536	463	1	mk+ℓ −	ORG
ap-8536	463	2	= qc	PERSON
ap-8536	463	3	1	CARDINAL
ap-8536	467	1	12	CARDINAL
ap-8536	467	2	first	ORDINAL
ap-8536	467	3	zm ⊂	ORG
ap-8536	468	1	∈	ORG
ap-8536	468	2	d.	NORP
ap-8536	468	3	6	CARDINAL
ap-8536	468	4	10	CARDINAL
ap-8536	468	5	zero	CARDINAL
ap-8536	468	6	1	CARDINAL
ap-8536	469	1	first	ORDINAL
ap-8536	469	2	12	CARDINAL
ap-8536	469	3	1	CARDINAL
ap-8536	472	1	j=0	GPE
ap-8536	472	2	m−ℓj−ℓ−k+tft	NORP
ap-8536	473	1	1	CARDINAL
ap-8536	474	1	20	CARDINAL
ap-8536	474	2	1	CARDINAL
ap-8536	475	1	1	CARDINAL
ap-8536	477	1	1	CARDINAL
ap-8536	479	1	1	CARDINAL
ap-8536	480	1	second	ORDINAL
ap-8536	482	1	1	CARDINAL
ap-8536	484	1	+ pm	TIME
ap-8536	486	1	+ |pm|	MONEY
ap-8536	487	1	∈	ORG
ap-8536	488	1	22	CARDINAL
ap-8536	489	1	∈ zm×m	PERSON
ap-8536	490	1	∈	ORG
ap-8536	492	1	m−1	PRODUCT
ap-8536	492	2	∥∥m−1	PRODUCT
ap-8536	493	1	1	CARDINAL
ap-8536	494	1	y ∈ zm	PERSON
ap-8536	494	2	∈	ORG
ap-8536	495	1	x(n	ORG
ap-8536	496	1	lim n→∞	ORG
ap-8536	497	1	x(n	ORG
ap-8536	502	1	x(n	ORG
ap-8536	503	1	jd (n	ORG
ap-8536	503	2	z(n	GPE
ap-8536	506	1	z(n	GPE
ap-8536	507	1	indeed,∥∥z(n	ORG
ap-8536	510	1	∥∥∥∑−1	GPE
ap-8536	513	1	1−r	DATE
ap-8536	521	1	zm	GPE
ap-8536	522	1	x(n	ORG
ap-8536	522	2	x(n	PERSON
ap-8536	523	1	zero	CARDINAL
ap-8536	524	1	lim	PERSON
ap-8536	524	2	n→∞	DATE
ap-8536	524	3	x(n	ORG
ap-8536	527	1	dn−2	PERSON
ap-8536	528	1	l ∈ n	PRODUCT
ap-8536	528	2	kl ∈	PERSON
ap-8536	528	3	d0•d−1d−2	PERSON
ap-8536	529	1	0 • x	QUANTITY
ap-8536	532	1	jdj −	PERSON
ap-8536	537	1	2d 1	DATE
ap-8536	538	1	2d	DATE
ap-8536	539	1	jdj = lim	PERSON
ap-8536	539	2	x(kl	ORG
ap-8536	539	3	x(n	ORG
ap-8536	540	1	∑n j=−∞	ORG
ap-8536	541	1	x. 5	DATE
ap-8536	542	1	two	CARDINAL
ap-8536	544	1	1	CARDINAL
ap-8536	545	1	zm ⊂	ORG
ap-8536	546	1	196	CARDINAL
ap-8536	547	1	63	CARDINAL
ap-8536	548	1	3/2023	CARDINAL
ap-8536	548	2	26	CARDINAL
ap-8536	548	3	jordan	GPE
ap-8536	548	4	1	CARDINAL
ap-8536	549	1	2	CARDINAL
ap-8536	550	1	13	CARDINAL
ap-8536	552	1	3	CARDINAL
ap-8536	552	2	∈	ORG
ap-8536	553	1	k. trivedi	PERSON
ap-8536	553	2	m. ercegovac	PERSON
ap-8536	553	3	27	CARDINAL
ap-8536	553	4	two	CARDINAL
ap-8536	553	5	∈	ORG
ap-8536	553	6	28	CARDINAL
ap-8536	554	1	the ministry of education	ORG
ap-8536	554	2	the czech republic	GPE
ap-8536	555	1	1	CARDINAL
ap-8536	555	2	a. cauchy	PERSON
ap-8536	556	1	sur les moyens d’éviter les erreurs dans les calculs numériques	ORG
ap-8536	557	1	11	CARDINAL
ap-8536	557	2	série i. c.r.	ORG
ap-8536	557	3	acad.	ORG
ap-8536	558	1	sc	GPE
ap-8536	558	2	paris	GPE
ap-8536	558	3	france	GPE
ap-8536	558	4	1840	DATE
ap-8536	559	1	2	CARDINAL
ap-8536	560	1	intorno all’aritmetica	PERSON
ap-8536	560	2	dei sistemi numerici	PERSON
ap-8536	560	3	riguardo al sistema	PERSON
ap-8536	560	4	delle sue analogie coll’aritmetica	PERSON
ap-8536	560	5	ordinaria	PERSON
ap-8536	561	1	23	CARDINAL
ap-8536	561	2	giornale di matematiche	PERSON
ap-8536	561	3	di battaglini	PERSON
ap-8536	561	4	italy	GPE
ap-8536	561	5	1885	DATE
ap-8536	562	1	3	CARDINAL
ap-8536	562	2	a. rényi	PERSON
ap-8536	564	1	acta mathematica	PERSON
ap-8536	564	2	8:477–493, 1957	DATE
ap-8536	566	1	4	CARDINAL
ap-8536	566	2	k. schmidt	PERSON
ap-8536	567	1	salem	GPE
ap-8536	568	1	london	GPE
ap-8536	568	2	12(4):269–278	CARDINAL
ap-8536	568	3	1980	DATE
ap-8536	569	1	https://doi.org/10.1112/blms/12.4.269	CARDINAL
ap-8536	569	2	5	CARDINAL
ap-8536	569	3	f. veneziano	PERSON
ap-8536	570	1	2018	DATE
ap-8536	572	1	6	CARDINAL
ap-8536	572	2	d. e. knuth	PERSON
ap-8536	574	1	1960	DATE
ap-8536	576	1	7	CARDINAL
ap-8536	576	2	w. penney	PERSON
ap-8536	578	1	1965	DATE
ap-8536	580	1	8	CARDINAL
ap-8536	580	2	b. kovács	PERSON
ap-8536	580	3	a. pethö	PERSON
ap-8536	582	1	55:287–299, 1991	DATE
ap-8536	585	1	9	CARDINAL
ap-8536	585	2	p. kirschenhofer	PERSON
ap-8536	585	3	j. thuswaldner	PERSON
ap-8536	587	1	substitution b46:1–59	ORG
ap-8536	587	2	2014	DATE
ap-8536	589	1	10	CARDINAL
ap-8536	589	2	a. avizienis	PERSON
ap-8536	591	1	1961	DATE
ap-8536	592	1	https://doi.org/10.1109/tec.1961.5219227	ORG
ap-8536	593	1	11	CARDINAL
ap-8536	593	2	a. vince	PERSON
ap-8536	595	1	24	CARDINAL
ap-8536	595	2	98	CARDINAL
ap-8536	596	1	1993	DATE
ap-8536	597	1	12	CARDINAL
ap-8536	597	2	a. vince	PERSON
ap-8536	599	1	siam	GPE
ap-8536	599	2	6(3):501–521, 1993	DATE
ap-8536	601	1	13	CARDINAL
ap-8536	601	2	a. kovács	PERSON
ap-8536	603	1	38(7):909–915	CARDINAL
ap-8536	603	2	2003	DATE
ap-8536	605	1	14	CARDINAL
ap-8536	605	2	j. jankauskas	PERSON
ap-8536	605	3	j. thuswaldner	PERSON
ap-8536	607	1	557:350–358	CARDINAL
ap-8536	607	2	2018	DATE
ap-8536	608	1	https://doi.org/10.1016/j.laa.2018.08.006	DATE
ap-8536	609	1	15	CARDINAL
ap-8536	609	2	e. pelantová	PERSON
ap-8536	611	1	633:316–331	CARDINAL
ap-8536	611	2	2022	CARDINAL
ap-8536	612	1	16	CARDINAL
ap-8536	612	2	d. lind	PERSON
ap-8536	612	3	b. marcus	PERSON
ap-8536	614	1	cambridge university press	ORG
ap-8536	614	2	cambridge	GPE
ap-8536	614	3	1995	DATE
ap-8536	615	1	https://doi.org/10.1017/cbo9780511626302	ORG
ap-8536	616	1	17	CARDINAL
ap-8536	616	2	e. pelantová	PERSON
ap-8536	616	3	m. svobodová	PERSON
ap-8536	618	1	412(41):5714–5727, 2011	DATE
ap-8536	620	1	18	CARDINAL
ap-8536	620	2	s. akiyama	PERSON
ap-8536	620	3	j. jankauskas	PERSON
ap-8536	621	1	algebraic integers	PERSON
ap-8536	622	1	47(1):105–119, 2012	DATE
ap-8536	623	1	19	CARDINAL
ap-8536	623	2	j. legerský	PERSON
ap-8536	623	3	m. svobodová	PERSON
ap-8536	625	1	795:547–569	CARDINAL
ap-8536	625	2	2019	DATE
ap-8536	626	1	https://doi.org/10.1016/j.tcs.2019.08.010	PERSON
ap-8536	626	2	20	CARDINAL
ap-8536	628	1	58(5):285–291	CARDINAL
ap-8536	628	2	2018	DATE
ap-8536	630	1	21	CARDINAL
ap-8536	630	2	e. pelantová	PERSON
ap-8536	630	3	m. svobodová	PERSON
ap-8536	632	1	integer	ORG
ap-8536	632	2	16(2):1–36	CARDINAL
ap-8536	632	3	2013	DATE
ap-8536	634	1	22	CARDINAL
ap-8536	635	1	salem	GPE
ap-8536	636	1	israel	GPE
ap-8536	636	2	mathematics 242:83–95	LAW
ap-8536	636	3	2021	DATE
ap-8536	638	1	23	CARDINAL
ap-8536	638	2	e. isaacson	PERSON
ap-8536	638	3	h. keller	PERSON
ap-8536	640	1	john wiley & sons	ORG
ap-8536	640	2	new york	GPE
ap-8536	640	3	1966	DATE
ap-8536	641	1	24	CARDINAL
ap-8536	641	2	l. germán	PERSON
ap-8536	641	3	a. kovács	PERSON
ap-8536	643	1	mathematica hungarica	PERSON
ap-8536	643	2	115:155–167, 2007	DATE
ap-8536	644	1	https://doi.org/10.1007/s10474-007-5224-5 197	CARDINAL
ap-8536	644	2	https://doi.org/10.1112/blms/12.4.269	PRODUCT
ap-8536	644	3	https://doi.org/10.1016/j.laa.2018.08.006	DATE
ap-8536	644	4	https://doi.org/10.1017/cbo9780511626302	NORP
ap-8536	645	1	https://doi.org/10.1007/s10474-007-5224-5 i. farkas	PERSON
ap-8536	645	2	e. pelantová	PERSON
ap-8536	645	3	m. svobodová acta polytechnica	PERSON
ap-8536	646	1	25	CARDINAL
ap-8536	646	2	p. hudoba	PERSON
ap-8536	646	3	a. kovács	PERSON
ap-8536	648	1	2021	DATE
ap-8536	649	1	26	CARDINAL
ap-8536	649	2	j. caldwell	PERSON
ap-8536	649	3	k. hare	PERSON
ap-8536	651	1	2022	CARDINAL
ap-8536	652	1	27	CARDINAL
ap-8536	652	2	k. trivedi	PERSON
ap-8536	652	3	m. ercegovac	PERSON
ap-8536	654	1	1977	DATE
ap-8536	656	1	28	CARDINAL
ap-8536	656	2	m. pavelka	PERSON
ap-8536	656	3	e. pelantová	PERSON
ap-8536	656	4	m. svobodová	PERSON
ap-8536	658	1	discrete mathematics & theoretical	ORG
ap-8536	658	2	2019	DATE
ap-8536	660	1	198	CARDINAL
ap-8536	660	2	https://doi.org/10.23638/dmtcs-21-3-14 acta	GPE
ap-8536	660	3	63(3):188–198	CARDINAL
ap-8536	660	4	2023 1	CARDINAL
ap-8536	660	5	2	CARDINAL
ap-8536	660	6	3	CARDINAL
ap-8536	660	7	4	CARDINAL
ap-8536	660	8	5	CARDINAL