id	sid	eid	entity	type
ap-7678	1	1	acta polytechnica	PERSON
ap-7678	1	2	acta polytechnica 62(1):63–79	PERSON
ap-7678	1	3	2022	CARDINAL
ap-7678	1	4	2022	CARDINAL
ap-7678	2	1	4.0	CARDINAL
ap-7678	2	2	the czech technical university	ORG
ap-7678	2	3	prague	GPE
ap-7678	2	4	carlos r.	PERSON
ap-7678	2	5	texas southern university	ORG
ap-7678	2	6	3100	CARDINAL
ap-7678	2	7	st.	GPE
ap-7678	2	8	houston	GPE
ap-7678	2	9	texas	GPE
ap-7678	5	1	one	CARDINAL
ap-7678	5	2	sdp	ORG
ap-7678	7	1	algebraic	PERSON
ap-7678	7	2	sdp	ORG
ap-7678	8	1	several one	CARDINAL
ap-7678	9	1	non-hermitian	NORP
ap-7678	10	1	1	CARDINAL
ap-7678	10	2	linear	ORG
ap-7678	10	3	many decades	DATE
ap-7678	11	1	2	CARDINAL
ap-7678	13	1	eψ(−→r	DATE
ap-7678	13	2	1	CARDINAL
ap-7678	13	3	rayleigh-ritz	ORG
ap-7678	14	1	1	CARDINAL
ap-7678	16	1	2	CARDINAL
ap-7678	17	1	spring	DATE
ap-7678	18	1	marmorino et al	PERSON
ap-7678	19	1	3	CARDINAL
ap-7678	19	2	martinazzo	PERSON
ap-7678	19	3	pollak	PERSON
ap-7678	20	1	4	CARDINAL
ap-7678	22	1	two	CARDINAL
ap-7678	23	1	first	ORDINAL
ap-7678	23	2	two	CARDINAL
ap-7678	27	1	nonhermitian	NORP
ap-7678	29	1	9	CARDINAL
ap-7678	30	1	10	CARDINAL
ap-7678	30	2	11	CARDINAL
ap-7678	31	1	one	CARDINAL
ap-7678	32	1	one	CARDINAL
ap-7678	34	1	one	CARDINAL
ap-7678	35	1	one	CARDINAL
ap-7678	37	1	zinn-justin	ORG
ap-7678	37	2	12	CARDINAL
ap-7678	38	1	13	CARDINAL
ap-7678	39	1	14	CARDINAL
ap-7678	39	2	15	CARDINAL
ap-7678	40	1	63	DATE
ap-7678	40	2	https://www.cvut.cz/en	DATE
ap-7678	40	3	carlos r. handy	PERSON
ap-7678	42	1	16	CARDINAL
ap-7678	42	2	17	CARDINAL
ap-7678	47	1	18	CARDINAL
ap-7678	47	2	19	CARDINAL
ap-7678	56	1	1.1	CARDINAL
ap-7678	57	1	one	CARDINAL
ap-7678	57	2	1	CARDINAL
ap-7678	59	1	2	CARDINAL
ap-7678	59	2	3	CARDINAL
ap-7678	59	3	ν ≡ ∫ dx s(x	ORG
ap-7678	61	1	(i.e. 1	CARDINAL
ap-7678	63	1	4	CARDINAL
ap-7678	64	1	20	CARDINAL
ap-7678	66	1	0	CARDINAL
ap-7678	67	1	one	CARDINAL
ap-7678	67	2	19	CARDINAL
ap-7678	68	1	0	CARDINAL
ap-7678	68	2	1	CARDINAL
ap-7678	69	1	the moments	TIME
ap-7678	70	1	20	CARDINAL
ap-7678	70	2	1	CARDINAL
ap-7678	70	3	j∑ p=0	PERSON
ap-7678	71	1	4	CARDINAL
ap-7678	71	2	∂j xs(0	GPE
ap-7678	71	3	µ(p	GPE
ap-7678	73	1	dx xpψ(x	PERSON
ap-7678	74	1	5	CARDINAL
ap-7678	74	2	2	CARDINAL
ap-7678	77	1	mx2	ORG
ap-7678	79	1	6	CARDINAL
ap-7678	80	1	one	CARDINAL
ap-7678	84	1	1)ϵ2µ(p	CARDINAL
ap-7678	84	2	2	CARDINAL
ap-7678	84	3	0	CARDINAL
ap-7678	85	1	7	CARDINAL
ap-7678	85	2	1 +	CARDINAL
ap-7678	85	3	5	CARDINAL
ap-7678	85	4	first	ORDINAL
ap-7678	85	5	six	CARDINAL
ap-7678	87	1	µ5	GPE
ap-7678	87	2	µ(p	PERSON
ap-7678	88	1	0	CARDINAL
ap-7678	89	1	64	CARDINAL
ap-7678	90	1	62	CARDINAL
ap-7678	91	1	1/2022	CARDINAL
ap-7678	91	2	algebraic	PERSON
ap-7678	91	3	1	CARDINAL
ap-7678	91	4	perturbative	NORP
ap-7678	92	1	zero	CARDINAL
ap-7678	92	2	two	CARDINAL
ap-7678	93	1	zero	CARDINAL
ap-7678	94	1	one	CARDINAL
ap-7678	96	1	3	CARDINAL
ap-7678	96	2	two	CARDINAL
ap-7678	97	1	first	ORDINAL
ap-7678	97	2	14	CARDINAL
ap-7678	97	3	15	CARDINAL
ap-7678	98	1	13	CARDINAL
ap-7678	100	1	21	CARDINAL
ap-7678	100	2	22	CARDINAL
ap-7678	101	1	sdp	ORG
ap-7678	101	2	first	ORDINAL
ap-7678	101	3	22	CARDINAL
ap-7678	102	1	23	CARDINAL
ap-7678	102	2	sdp	ORG
ap-7678	102	3	the 1980s	DATE
ap-7678	103	1	second	ORDINAL
ap-7678	104	1	emm	PERSON
ap-7678	104	2	nonhermitian	GPE
ap-7678	105	1	emm	PERSON
ap-7678	107	1	6	CARDINAL
ap-7678	107	2	one	CARDINAL
ap-7678	109	1	algebraic	PERSON
ap-7678	110	1	mathematica	PERSON
ap-7678	115	1	4	CARDINAL
ap-7678	116	1	24	CARDINAL
ap-7678	119	1	several decades ago	DATE
ap-7678	120	1	14	CARDINAL
ap-7678	120	2	15	CARDINAL
ap-7678	123	1	15	CARDINAL
ap-7678	125	1	9	CARDINAL
ap-7678	126	1	one	CARDINAL
ap-7678	127	1	third	ORDINAL
ap-7678	127	2	linear	ORG
ap-7678	130	1	sturm-liouville	ORG
ap-7678	130	2	one	CARDINAL
ap-7678	130	3	fourth	ORDINAL
ap-7678	131	1	8	CARDINAL
ap-7678	132	1	25	CARDINAL
ap-7678	133	1	trinh	ORG
ap-7678	134	1	26	CARDINAL
ap-7678	137	1	ψ(−→r	ORG
ap-7678	139	1	65	CARDINAL
ap-7678	139	2	carlos r.	PERSON
ap-7678	139	3	5	CARDINAL
ap-7678	140	1	5.1	CARDINAL
ap-7678	141	1	{bn(x	PERSON
ap-7678	141	2	≡ pn(x)r(x	ORG
ap-7678	143	1	∞∑ n=0 cnpn(x)r(x	PERSON
ap-7678	144	1	9	CARDINAL
ap-7678	144	2	r(x	PERSON
ap-7678	145	1	one	CARDINAL
ap-7678	145	2	n.	PERSON
ap-7678	145	3	10	CARDINAL
ap-7678	145	4	j xj	PERSON
ap-7678	146	1	11	CARDINAL
ap-7678	147	1	̸= n	PERSON
ap-7678	149	1	10	CARDINAL
ap-7678	150	1	ξ(m	GPE
ap-7678	151	1	12	CARDINAL
ap-7678	153	1	dx xj1+j2r(x	PERSON
ap-7678	153	2	wi	ORG
ap-7678	156	1	c†)−1êj	PRODUCT
ap-7678	157	1	13	CARDINAL
ap-7678	157	2	ξ(n	ORG
ap-7678	158	1	ψ(x	ORG
ap-7678	158	2	µ(p	PERSON
ap-7678	159	1	14	CARDINAL
ap-7678	159	2	µ(p	PERSON
ap-7678	159	3	15	CARDINAL
ap-7678	159	4	j µ(j	PERSON
ap-7678	160	1	j ms∑ ℓ=0	PERSON
ap-7678	160	2	16) cn(−→µ	CARDINAL
ap-7678	161	1	17	CARDINAL
ap-7678	162	1	18	CARDINAL
ap-7678	163	1	15	CARDINAL
ap-7678	165	1	1	CARDINAL
ap-7678	165	2	19	CARDINAL
ap-7678	165	3	one	CARDINAL
ap-7678	165	4	1	CARDINAL
ap-7678	167	1	9	CARDINAL
ap-7678	167	2	1 or	CARDINAL
ap-7678	167	3	1	CARDINAL
ap-7678	167	4	5.2	CARDINAL
ap-7678	168	1	i[ψ	CARDINAL
ap-7678	168	2	dx	ORG
ap-7678	168	3	|ψ(x)|2 r(x	PERSON
ap-7678	168	4	20	CARDINAL
ap-7678	169	1	21	CARDINAL
ap-7678	171	1	20	CARDINAL
ap-7678	171	2	i[ψ	CARDINAL
ap-7678	171	3	ephys	PERSON
ap-7678	171	4	̸=	ORG
ap-7678	172	1	22	CARDINAL
ap-7678	176	1	66	CARDINAL
ap-7678	177	1	62	CARDINAL
ap-7678	178	1	1/2022	CARDINAL
ap-7678	178	2	algebraic	PERSON
ap-7678	178	3	5.2.1	CARDINAL
ap-7678	178	4	two	CARDINAL
ap-7678	179	1	first	ORDINAL
ap-7678	180	1	c(x	ORG
ap-7678	180	2	lim|x|→∞ ψ(x	PERSON
ap-7678	180	3	r(x	PERSON
ap-7678	182	1	23	CARDINAL
ap-7678	182	2	24	CARDINAL
ap-7678	183	1	10	CARDINAL
ap-7678	183	2	11	CARDINAL
ap-7678	185	1	25	CARDINAL
ap-7678	185	2	zero	CARDINAL
ap-7678	186	1	24	CARDINAL
ap-7678	187	1	5.2.2	DATE
ap-7678	187	2	r(x	WORK_OF_ART
ap-7678	187	3	ψgr(x	NORP
ap-7678	190	1	8)	CARDINAL
ap-7678	193	1	6	CARDINAL
ap-7678	194	1	21	CARDINAL
ap-7678	195	1	22	CARDINAL
ap-7678	196	1	0	CARDINAL
ap-7678	197	1	26	CARDINAL
ap-7678	198	1	17	CARDINAL
ap-7678	198	2	linear	ORG
ap-7678	198	3	0	CARDINAL
ap-7678	198	4	27	CARDINAL
ap-7678	198	5	0 ≤ ℓ1 ≤	MONEY
ap-7678	198	6	det	PERSON
ap-7678	199	1	0	CARDINAL
ap-7678	200	1	28	CARDINAL
ap-7678	202	1	10	CARDINAL
ap-7678	202	2	11	CARDINAL
ap-7678	206	1	28	CARDINAL
ap-7678	208	1	28	CARDINAL
ap-7678	213	1	0	CARDINAL
ap-7678	216	1	28	CARDINAL
ap-7678	217	1	7	CARDINAL
ap-7678	217	2	one	CARDINAL
ap-7678	218	1	one	CARDINAL
ap-7678	218	2	one	CARDINAL
ap-7678	219	1	1space	CARDINAL
ap-7678	220	1	9	CARDINAL
ap-7678	221	1	67	CARDINAL
ap-7678	221	2	carlos r.	PERSON
ap-7678	221	3	5	CARDINAL
ap-7678	221	4	20	CARDINAL
ap-7678	221	5	35	CARDINAL
ap-7678	221	6	10	CARDINAL
ap-7678	221	7	1	CARDINAL
ap-7678	221	8	log10(λn	PERSON
ap-7678	222	1	47	CARDINAL
ap-7678	222	2	20, 40	DATE
ap-7678	222	3	100	CARDINAL
ap-7678	222	4	120	CARDINAL
ap-7678	224	1	22	CARDINAL
ap-7678	224	2	i[ψ	CARDINAL
ap-7678	224	3	29	CARDINAL
ap-7678	224	4	sn	ORG
ap-7678	224	5	30	CARDINAL
ap-7678	224	6	31	CARDINAL
ap-7678	224	7	1 +	CARDINAL
ap-7678	224	8	1 +	CARDINAL
ap-7678	225	1	32	CARDINAL
ap-7678	227	1	31	CARDINAL
ap-7678	230	1	33	CARDINAL
ap-7678	231	1	22	CARDINAL
ap-7678	233	1	sn	ORG
ap-7678	234	1	1	CARDINAL
ap-7678	234	2	34	CARDINAL
ap-7678	234	3	1	CARDINAL
ap-7678	234	4	5	CARDINAL
ap-7678	234	5	20	CARDINAL
ap-7678	234	6	10	CARDINAL
ap-7678	234	7	2	CARDINAL
ap-7678	234	8	log10(λn	PERSON
ap-7678	235	1	65	CARDINAL
ap-7678	236	1	4	CARDINAL
ap-7678	236	2	6	DATE
ap-7678	236	3	8	DATE
ap-7678	236	4	10	DATE
ap-7678	236	5	12	CARDINAL
ap-7678	238	1	5 10 15 20 e	TIME
ap-7678	238	2	10	CARDINAL
ap-7678	238	3	3	CARDINAL
ap-7678	238	4	log10(λn	PERSON
ap-7678	239	1	65	CARDINAL
ap-7678	240	1	4	CARDINAL
ap-7678	240	2	6	DATE
ap-7678	240	3	8	DATE
ap-7678	240	4	10	DATE
ap-7678	240	5	12	CARDINAL
ap-7678	243	1	35	CARDINAL
ap-7678	243	2	eqs	ORG
ap-7678	244	1	33-34	CARDINAL
ap-7678	246	1	22	CARDINAL
ap-7678	246	2	lim n→∞	PERSON
ap-7678	247	1	ephys	PERSON
ap-7678	248	1	36	CARDINAL
ap-7678	249	1	35	CARDINAL
ap-7678	251	1	ephys ∞	PERSON
ap-7678	252	1	37	CARDINAL
ap-7678	253	1	the sextic anharmonic harmonic	ORG
ap-7678	253	2	1-3	CARDINAL
ap-7678	253	3	4	CARDINAL
ap-7678	256	1	68	CARDINAL
ap-7678	257	1	62	CARDINAL
ap-7678	258	1	1/2022	CARDINAL
ap-7678	258	2	algebraic	PERSON
ap-7678	258	3	4	CARDINAL
ap-7678	259	1	log10(λn	PERSON
ap-7678	260	1	20, 30,	DATE
ap-7678	260	2	40	DATE
ap-7678	260	3	50	DATE
ap-7678	262	1	0	CARDINAL
ap-7678	262	2	38	CARDINAL
ap-7678	262	3	lim n→∞	FAC
ap-7678	263	1	39	CARDINAL
ap-7678	265	1	40	CARDINAL
ap-7678	266	1	41	CARDINAL
ap-7678	267	1	22	CARDINAL
ap-7678	269	1	42	CARDINAL
ap-7678	271	1	8	CARDINAL
ap-7678	273	1	42	CARDINAL
ap-7678	276	1	43	CARDINAL
ap-7678	276	2	eqs	CARDINAL
ap-7678	277	1	35	CARDINAL
ap-7678	277	2	e(l	ORG
ap-7678	278	1	e(u	PERSON
ap-7678	279	1	44	DATE
ap-7678	279	2	45	CARDINAL
ap-7678	279	3	lim n→∞	PERSON
ap-7678	282	1	46	DATE
ap-7678	282	2	the rayleigh-ritz	ORG
ap-7678	285	1	9	CARDINAL
ap-7678	286	1	−∂2	ORG
ap-7678	287	1	47	CARDINAL
ap-7678	289	1	three	CARDINAL
ap-7678	291	1	47	CARDINAL
ap-7678	292	1	sixth	ORDINAL
ap-7678	292	2	1 +	CARDINAL
ap-7678	292	3	6	CARDINAL
ap-7678	293	1	48	CARDINAL
ap-7678	296	1	3	CARDINAL
ap-7678	296	2	3	CARDINAL
ap-7678	299	1	third	ORDINAL
ap-7678	300	1	first	ORDINAL
ap-7678	300	2	1 +	CARDINAL
ap-7678	300	3	1	CARDINAL
ap-7678	301	1	emm convergence	PERSON
ap-7678	302	1	9.1	CARDINAL
ap-7678	303	1	emm-ψ	PERSON
ap-7678	303	2	first	ORDINAL
ap-7678	304	1	47	CARDINAL
ap-7678	305	1	µ(p	PERSON
ap-7678	307	1	47	CARDINAL
ap-7678	307	2	69	CARDINAL
ap-7678	307	3	carlos r.	PERSON
ap-7678	307	4	µ(p	PERSON
ap-7678	309	1	1)µ(p	CARDINAL
ap-7678	309	2	2	CARDINAL
ap-7678	309	3	0	CARDINAL
ap-7678	310	1	48	DATE
ap-7678	310	2	1 +	CARDINAL
ap-7678	310	3	6	CARDINAL
ap-7678	312	1	48	CARDINAL
ap-7678	313	1	+ 6	DATE
ap-7678	315	1	1)me(p	CARDINAL
ap-7678	315	2	2	CARDINAL
ap-7678	315	3	49	CARDINAL
ap-7678	315	4	0	CARDINAL
ap-7678	315	5	0 ≤ ℓ ≤	QUANTITY
ap-7678	316	1	5	CARDINAL
ap-7678	317	1	m(ℓ1	ORG
ap-7678	317	2	50	CARDINAL
ap-7678	317	3	0 ≤ ℓ1,2 ≤ 5	MONEY
ap-7678	320	1	∞∑ n=0 cnpn(x)r(x	PERSON
ap-7678	321	1	51	CARDINAL
ap-7678	325	1	52	CARDINAL
ap-7678	327	1	53	CARDINAL
ap-7678	327	2	wm	GPE
ap-7678	327	3	n ≡ ∫ ℜ dx xm+nexp(−x4/4	ORG
ap-7678	327	4	54	CARDINAL
ap-7678	327	5	wm	PERSON
ap-7678	327	6	0	CARDINAL
ap-7678	327	7	2η−	CARDINAL
ap-7678	327	8	2	CARDINAL
ap-7678	327	9	2η	CARDINAL
ap-7678	328	1	55	CARDINAL
ap-7678	330	1	µ5	GPE
ap-7678	331	1	56	CARDINAL
ap-7678	332	1	17-18	CARDINAL
ap-7678	332	2	λ(n	ORG
ap-7678	333	1	57	CARDINAL
ap-7678	333	2	0	CARDINAL
ap-7678	333	3	58	CARDINAL
ap-7678	333	4	0 ≤ ℓ ≤ 5	MONEY
ap-7678	334	1	0	CARDINAL
ap-7678	334	2	59	CARDINAL
ap-7678	334	3	6	CARDINAL
ap-7678	336	1	+ 6	DATE
ap-7678	336	2	0 ≤	MONEY
ap-7678	336	3	6	CARDINAL
ap-7678	337	1	2n	CARDINAL
ap-7678	338	1	1 and 2	CARDINAL
ap-7678	338	2	first	ORDINAL
ap-7678	338	3	ten	CARDINAL
ap-7678	340	1	1	CARDINAL
ap-7678	340	2	5∑	CARDINAL
ap-7678	341	1	1	CARDINAL
ap-7678	341	2	60	CARDINAL
ap-7678	341	3	61	CARDINAL
ap-7678	342	1	ℓ1,ℓ2	ORG
ap-7678	343	1	62	CARDINAL
ap-7678	344	1	1	CARDINAL
ap-7678	348	1	47	CARDINAL
ap-7678	351	1	48	CARDINAL
ap-7678	351	2	70	CARDINAL
ap-7678	352	1	62	CARDINAL
ap-7678	353	1	1/2022	CARDINAL
ap-7678	353	2	algebraic	PERSON
ap-7678	353	3	25	CARDINAL
ap-7678	353	4	5.28830977093027	MONEY
ap-7678	353	5	15.8338485774860	CARDINAL
ap-7678	353	6	1.00560182885171 5.37480811122565	MONEY
ap-7678	353	7	1.00576819439460 5.37496683348150	CARDINAL
ap-7678	353	8	16.7952741272760 100	CARDINAL
ap-7678	353	9	1.00576834791848	CARDINAL
ap-7678	353	10	5.37496999430605	MONEY
ap-7678	353	11	16.7953468181267 125	CARDINAL
ap-7678	353	12	1.00576834035184 5.37497000920767 10.5725850451529	MONEY
ap-7678	353	13	16.7953468448794	CARDINAL
ap-7678	353	14	150	CARDINAL
ap-7678	353	15	1.00576834023041 5.37497000886154	CARDINAL
ap-7678	353	16	16.7953468331754	CARDINAL
ap-7678	353	17	175	CARDINAL
ap-7678	353	18	1.00576834022567 5.37497000884083	CARDINAL
ap-7678	353	19	200	CARDINAL
ap-7678	353	20	1.00576834022555	CARDINAL
ap-7678	353	21	25	CARDINAL
ap-7678	353	22	1.00576828117312 5.37497437050670	MONEY
ap-7678	353	23	16.7951977796668	CARDINAL
ap-7678	353	24	50	CARDINAL
ap-7678	353	25	1.00576834022554 5.37497000884005	CARDINAL
ap-7678	353	26	16.7953468327034	CARDINAL
ap-7678	353	27	1.00576834022554 5.37497000884004 10.5725850445859	CARDINAL
ap-7678	353	28	16.7953468327036 200	CARDINAL
ap-7678	354	1	1.00576834022554 5.37497000884004 10.5725850445859	CARDINAL
ap-7678	354	2	16.7953468327036	CARDINAL
ap-7678	354	3	1	CARDINAL
ap-7678	355	1	first	ORDINAL
ap-7678	355	2	five	CARDINAL
ap-7678	355	3	− 4x2	PERSON
ap-7678	355	4	5	CARDINAL
ap-7678	356	1	25 23.5770262257055	CARDINAL
ap-7678	356	2	46.5131514442214	CARDINAL
ap-7678	356	3	40.1684238879451 48.7083019153321	MONEY
ap-7678	356	4	75 23.8838452220218	CARDINAL
ap-7678	356	5	31.7416917119713	CARDINAL
ap-7678	356	6	49.5062748750452 59.2851256940478	CARDINAL
ap-7678	356	7	49.5114653542220 59.3258556535193 125	MONEY
ap-7678	356	8	31.7425500612024	CARDINAL
ap-7678	357	1	59.3262744628777	CARDINAL
ap-7678	357	2	40.3027377921622	CARDINAL
ap-7678	357	3	59.3262740709658	CARDINAL
ap-7678	357	4	150	CARDINAL
ap-7678	357	5	2	CARDINAL
ap-7678	357	6	sixth-tenth	DATE
ap-7678	357	7	− 4x2	PERSON
ap-7678	357	8	5	CARDINAL
ap-7678	358	1	2	CARDINAL
ap-7678	359	1	8th	ORDINAL
ap-7678	360	1	approximately 29 power moments	QUANTITY
ap-7678	360	2	µ(p)|0 ≤ p ≤ 28	MONEY
ap-7678	361	1	about 14	CARDINAL
ap-7678	362	1	approximately eight	CARDINAL
ap-7678	362	2	approximately 28-29	CARDINAL
ap-7678	363	1	2	CARDINAL
ap-7678	364	1	3	CARDINAL
ap-7678	364	2	5	CARDINAL
ap-7678	364	3	two	CARDINAL
ap-7678	364	4	25 power moments	QUANTITY
ap-7678	368	1	first	ORDINAL
ap-7678	369	1	0	CARDINAL
ap-7678	372	1	e(l	ORG
ap-7678	372	2	e(u	PERSON
ap-7678	374	1	4	CARDINAL
ap-7678	374	2	second	ORDINAL
ap-7678	376	1	first	ORDINAL
ap-7678	376	2	3	CARDINAL
ap-7678	377	1	3	CARDINAL
ap-7678	377	2	125 power moments	QUANTITY
ap-7678	377	3	18th	ORDINAL
ap-7678	379	1	69	CARDINAL
ap-7678	379	2	61 power moments	QUANTITY
ap-7678	380	1	33rd	ORDINAL
ap-7678	382	1	70	CARDINAL
ap-7678	382	2	50	CARDINAL
ap-7678	383	1	71	CARDINAL
ap-7678	383	2	carlos r.	PERSON
ap-7678	383	3	acta polytechnica n e	PERSON
ap-7678	383	4	2;n	CARDINAL
ap-7678	383	5	2;n	CARDINAL
ap-7678	383	6	25	CARDINAL
ap-7678	384	1	5.384374689469648	MONEY
ap-7678	385	1	75	CARDINAL
ap-7678	386	1	5.3749700088400468	MONEY
ap-7678	386	2	3	CARDINAL
ap-7678	386	3	second	ORDINAL
ap-7678	390	1	25	CARDINAL
ap-7678	390	2	50	CARDINAL
ap-7678	391	1	5.37497000884746	CARDINAL
ap-7678	391	2	75	CARDINAL
ap-7678	391	3	5.37497000884004	CARDINAL
ap-7678	391	4	100	CARDINAL
ap-7678	391	5	5.37497000884004	CARDINAL
ap-7678	391	6	4	CARDINAL
ap-7678	392	1	second	ORDINAL
ap-7678	393	1	9.2	CARDINAL
ap-7678	395	1	third	ORDINAL
ap-7678	396	1	3rd	ORDINAL
ap-7678	396	2	3	CARDINAL
ap-7678	396	3	2	CARDINAL
ap-7678	400	1	9.3	CARDINAL
ap-7678	401	1	third	ORDINAL
ap-7678	401	2	4	CARDINAL
ap-7678	402	1	63	CARDINAL
ap-7678	402	2	φ	ORG
ap-7678	403	1	48	CARDINAL
ap-7678	403	2	five	CARDINAL
ap-7678	403	3	5	CARDINAL
ap-7678	406	1	9.4	CARDINAL
ap-7678	407	1	0	CARDINAL
ap-7678	407	2	− 4x2	PERSON
ap-7678	407	3	∈	ORG
ap-7678	407	4	ψ(x	ORG
ap-7678	409	1	63	CARDINAL
ap-7678	410	1	one	CARDINAL
ap-7678	413	1	φ	ORG
ap-7678	413	2	φ′′(x	ORG
ap-7678	413	3	+ 2x3φ′(x	DATE
ap-7678	414	1	7x2 + e)φ(x	QUANTITY
ap-7678	415	1	0	CARDINAL
ap-7678	416	1	64	CARDINAL
ap-7678	416	2	µ(p	GPE
ap-7678	416	3	2p	CARDINAL
ap-7678	416	4	1)µ(p	CARDINAL
ap-7678	416	5	2	CARDINAL
ap-7678	417	1	4ρ	CARDINAL
ap-7678	420	1	1)u(ρ	CARDINAL
ap-7678	420	2	1	CARDINAL
ap-7678	421	1	65	CARDINAL
ap-7678	421	2	+ 1	DATE
ap-7678	421	3	4ρ + 1)ν(ρ + 1	QUANTITY
ap-7678	422	1	1	CARDINAL
ap-7678	423	1	66	CARDINAL
ap-7678	425	1	+ 1	DATE
ap-7678	428	1	72	CARDINAL
ap-7678	429	1	62	CARDINAL
ap-7678	430	1	1/2022	CARDINAL
ap-7678	430	2	algebraic	PERSON
ap-7678	430	3	n e0 e2	MONEY
ap-7678	430	4	5.375031586 16.79298386	MONEY
ap-7678	430	5	49.94322409	CARDINAL
ap-7678	431	1	5.374969341 16.79536744	MONEY
ap-7678	431	2	5.374970019 16.79534604 31.74254727	MONEY
ap-7678	433	1	49.51149946	CARDINAL
ap-7678	433	2	80	CARDINAL
ap-7678	433	3	49.51150038	CARDINAL
ap-7678	433	4	49.51150038	CARDINAL
ap-7678	433	5	49.51150038	CARDINAL
ap-7678	433	6	5	CARDINAL
ap-7678	433	7	0	CARDINAL
ap-7678	433	8	65	CARDINAL
ap-7678	435	1	eqs	ORG
ap-7678	436	1	65	CARDINAL
ap-7678	436	2	66	CARDINAL
ap-7678	438	1	υ(ξ	NORP
ap-7678	438	2	√ ξ)√	DATE
ap-7678	439	1	υ(ξ	NORP
ap-7678	441	1	n=0 cnpn(ξ)r(ξ	PERSON
ap-7678	441	2	67	CARDINAL
ap-7678	441	3	φ	PERSON
ap-7678	442	1	65	CARDINAL
ap-7678	443	1	ψ(x	ORG
ap-7678	443	2	4	CARDINAL
ap-7678	443	3	exp(−	CARDINAL
ap-7678	443	4	2	CARDINAL
ap-7678	444	1	exp(−ξ	ORG
ap-7678	446	1	20	CARDINAL
ap-7678	451	1	+ 1 2	QUANTITY
ap-7678	452	1	+ 1	DATE
ap-7678	454	1	2	CARDINAL
ap-7678	454	2	+ 2	CARDINAL
ap-7678	455	1	+ 1/2)wg(p	DATE
ap-7678	456	1	28	CARDINAL
ap-7678	458	1	3	CARDINAL
ap-7678	458	2	2	CARDINAL
ap-7678	459	1	0	CARDINAL
ap-7678	463	1	quantize	ORG
ap-7678	466	1	9.5	CARDINAL
ap-7678	467	1	oppq	PERSON
ap-7678	467	2	0	CARDINAL
ap-7678	467	3	sextic anharmonic	ORG
ap-7678	468	1	2	CARDINAL
ap-7678	468	2	4	CARDINAL
ap-7678	468	3	6	DATE
ap-7678	468	4	8	DATE
ap-7678	468	5	10	DATE
ap-7678	468	6	12	DATE
ap-7678	470	1	3	CARDINAL
ap-7678	472	1	5	CARDINAL
ap-7678	474	1	65	CARDINAL
ap-7678	476	1	5	CARDINAL
ap-7678	476	2	ten	CARDINAL
ap-7678	476	3	n ≤ 100	ORG
ap-7678	477	1	5	CARDINAL
ap-7678	477	2	120	CARDINAL
ap-7678	477	3	73	CARDINAL
ap-7678	477	4	carlos r.	PERSON
ap-7678	477	5	polytechnica	GPE
ap-7678	478	1	50.857 30	MONEY
ap-7678	478	2	7.997267757	ORG
ap-7678	478	3	49.366 49.546 40	MONEY
ap-7678	478	4	8.002499541 49.5123070944	PERCENT
ap-7678	478	5	60 49.51149945726214	CARDINAL
ap-7678	478	6	49.51140	CARDINAL
ap-7678	478	7	49.51159	CARDINAL
ap-7678	478	8	70 49.51150043370514	CARDINAL
ap-7678	478	9	80	CARDINAL
ap-7678	478	10	49.5114990	CARDINAL
ap-7678	478	11	90 49.51150037729806	CARDINAL
ap-7678	478	12	49.5115001949	CARDINAL
ap-7678	478	13	49.5115005597	CARDINAL
ap-7678	478	14	49.5115003518 49.5115004029	CARDINAL
ap-7678	478	15	110	CARDINAL
ap-7678	478	16	49.51150037737999	CARDINAL
ap-7678	478	17	49.51150037737991	CARDINAL
ap-7678	478	18	8.002667348	MONEY
ap-7678	478	19	49.5115003768 49.5115003780	CARDINAL
ap-7678	478	20	8.01	CARDINAL
ap-7678	478	21	6	CARDINAL
ap-7678	480	1	egr = −.52326862212755224	PERSON
ap-7678	481	1	first	ORDINAL
ap-7678	481	2	29 power moments	QUANTITY
ap-7678	482	1	68	CARDINAL
ap-7678	483	1	68	CARDINAL
ap-7678	483	2	13	CARDINAL
ap-7678	484	1	29 moments	TIME
ap-7678	484	2	5	CARDINAL
ap-7678	484	3	30	CARDINAL
ap-7678	485	1	emm-φ	ORG
ap-7678	485	2	approximately three	CARDINAL
ap-7678	486	1	mathematica	PERSON
ap-7678	487	1	emm	PERSON
ap-7678	488	1	5	CARDINAL
ap-7678	489	1	rayleigh-ritz	ORG
ap-7678	489	2	120	CARDINAL
ap-7678	489	3	5	CARDINAL
ap-7678	490	1	first	ORDINAL
ap-7678	491	1	4	CARDINAL
ap-7678	491	2	3	CARDINAL
ap-7678	492	1	48	CARDINAL
ap-7678	494	1	6	CARDINAL
ap-7678	494	2	e8	CARDINAL
ap-7678	494	3	second	ORDINAL
ap-7678	495	1	third	ORDINAL
ap-7678	496	1	two	CARDINAL
ap-7678	496	2	n → ∞.	ORG
ap-7678	496	3	7	CARDINAL
ap-7678	497	1	third	ORDINAL
ap-7678	497	2	6	CARDINAL
ap-7678	498	1	fourth	ORDINAL
ap-7678	500	1	n − 120	PRODUCT
ap-7678	500	2	49.5115003774	CARDINAL
ap-7678	500	3	6	CARDINAL
ap-7678	500	4	49.5115003768	CARDINAL
ap-7678	500	5	6	CARDINAL
ap-7678	503	1	second	ORDINAL
ap-7678	503	2	6	CARDINAL
ap-7678	503	3	49.51148774312169	CARDINAL
ap-7678	503	4	50	CARDINAL
ap-7678	503	5	the last two	DATE
ap-7678	503	6	80	CARDINAL
ap-7678	505	1	9.6	CARDINAL
ap-7678	506	1	the emm analysis	ORG
ap-7678	508	1	74	CARDINAL
ap-7678	509	1	62	CARDINAL
ap-7678	510	1	1/2022	CARDINAL
ap-7678	510	2	algebraic	PERSON
ap-7678	510	3	8 150	CARDINAL
ap-7678	510	4	160	CARDINAL
ap-7678	510	5	49.511500377379927287	CARDINAL
ap-7678	510	6	230	CARDINAL
ap-7678	510	7	240	CARDINAL
ap-7678	510	8	49.511500377379924210 250	CARDINAL
ap-7678	510	9	270	CARDINAL
ap-7678	510	10	49.511500377379924209316869	CARDINAL
ap-7678	510	11	8.01	CARDINAL
ap-7678	510	12	7	CARDINAL
ap-7678	511	1	n e0 e2 e4	ORG
ap-7678	511	2	1 -0.5232686221275529 5	CARDINAL
ap-7678	511	3	5.37847969429 16.78604192264	MONEY
ap-7678	511	4	5.37497046837	CARDINAL
ap-7678	511	5	31.74535880954	CARDINAL
ap-7678	511	6	20	CARDINAL
ap-7678	511	7	30	CARDINAL
ap-7678	511	8	49.5115003772	CARDINAL
ap-7678	511	9	8	CARDINAL
ap-7678	512	1	− 4x2	PERSON
ap-7678	512	2	r(x	WORK_OF_ART
ap-7678	512	3	first	ORDINAL
ap-7678	512	4	61	DATE
ap-7678	514	1	2 missing moment	TIME
ap-7678	515	1	first	ORDINAL
ap-7678	515	2	29 power moments	QUANTITY
ap-7678	516	1	more than 50	CARDINAL
ap-7678	516	2	3	CARDINAL
ap-7678	519	1	first	ORDINAL
ap-7678	519	2	62	CARDINAL
ap-7678	519	3	emm	PERSON
ap-7678	519	4	69	CARDINAL
ap-7678	519	5	approximately 220 power moments	QUANTITY
ap-7678	519	6	45 moments	QUANTITY
ap-7678	519	7	eop p	ORG
ap-7678	519	8	19078406116564771630604	DATE
ap-7678	519	9	70	CARDINAL
ap-7678	519	10	9.7	CARDINAL
ap-7678	520	1	8	CARDINAL
ap-7678	520	2	r(x	WORK_OF_ART
ap-7678	520	3	ψgr(x	NORP
ap-7678	521	1	9.8	CARDINAL
ap-7678	522	1	emm	PERSON
ap-7678	522	2	2	CARDINAL
ap-7678	522	3	1.0057681	CARDINAL
ap-7678	522	4	1.0057685	CARDINAL
ap-7678	522	5	5.3749699	CARDINAL
ap-7678	522	6	5.3749701	CARDINAL
ap-7678	522	7	10.5725845	CARDINAL
ap-7678	522	8	10.5725855	CARDINAL
ap-7678	522	9	16.795339	CARDINAL
ap-7678	522	10	16.795351	CARDINAL
ap-7678	522	11	23.883886	CARDINAL
ap-7678	522	12	23.883961	CARDINAL
ap-7678	522	13	31.74217	CARDINAL
ap-7678	522	14	31.74323	CARDINAL
ap-7678	522	15	40.301	CARDINAL
ap-7678	522	16	40.305	CARDINAL
ap-7678	522	17	49.506	CARDINAL
ap-7678	522	18	28	CARDINAL
ap-7678	523	1	2	CARDINAL
ap-7678	523	2	first	ORDINAL
ap-7678	523	3	28 power moments	QUANTITY
ap-7678	524	1	75	CARDINAL
ap-7678	524	2	carlos r. handy	PERSON
ap-7678	524	3	e8	CARDINAL
ap-7678	524	4	2	CARDINAL
ap-7678	524	5	first	ORDINAL
ap-7678	524	6	49.5115003768	CARDINAL
ap-7678	524	7	49.5115003798	CARDINAL
ap-7678	526	1	10	CARDINAL
ap-7678	528	1	71	CARDINAL
ap-7678	529	1	8	CARDINAL
ap-7678	531	1	5	CARDINAL
ap-7678	531	2	dorey et al	PERSON
ap-7678	532	1	6	CARDINAL
ap-7678	533	1	the emm-ψ∗ψ	ORG
ap-7678	533	2	27	CARDINAL
ap-7678	534	1	e∗	GPE
ap-7678	535	1	µ(p	GPE
ap-7678	538	1	1)µ(p	CARDINAL
ap-7678	538	2	2	CARDINAL
ap-7678	538	3	0	CARDINAL
ap-7678	539	1	72	DATE
ap-7678	539	2	+ 3	DATE
ap-7678	540	1	+ 1	DATE
ap-7678	540	2	1)me(p	CARDINAL
ap-7678	540	3	2	CARDINAL
ap-7678	540	4	73	CARDINAL
ap-7678	540	5	0	CARDINAL
ap-7678	540	6	0 ≤ ℓ ≤ 2	MONEY
ap-7678	541	1	2	CARDINAL
ap-7678	541	2	3	CARDINAL
ap-7678	542	1	2 5	DATE
ap-7678	542	2	5 2	CARDINAL
ap-7678	542	3	r(x	PERSON
ap-7678	545	1	74	CARDINAL
ap-7678	546	1	75	CARDINAL
ap-7678	546	2	76	CARDINAL
ap-7678	548	1	77	CARDINAL
ap-7678	548	2	i[ψ	CARDINAL
ap-7678	548	3	r(x	PERSON
ap-7678	549	1	ephys	PERSON
ap-7678	550	1	̸=	ORG
ap-7678	552	1	i[ψ	CARDINAL
ap-7678	554	1	79	CARDINAL
ap-7678	554	2	sn	ORG
ap-7678	554	3	80	CARDINAL
ap-7678	555	1	ℓ1,ℓ2	ORG
ap-7678	556	1	81	CARDINAL
ap-7678	558	1	0	CARDINAL
ap-7678	561	1	first	ORDINAL
ap-7678	562	1	i.	PERSON
ap-7678	562	2	ipn	ORG
ap-7678	563	1	80	CARDINAL
ap-7678	563	2	∂er	PERSON
ap-7678	565	1	77	CARDINAL
ap-7678	565	2	ξ	ORG
ap-7678	567	1	72	CARDINAL
ap-7678	568	1	two	CARDINAL
ap-7678	568	2	40	CARDINAL
ap-7678	569	1	5-12	CARDINAL
ap-7678	569	2	two	CARDINAL
ap-7678	569	3	76	CARDINAL
ap-7678	570	1	62	CARDINAL
ap-7678	571	1	1/2022	CARDINAL
ap-7678	571	2	algebraic	PERSON
ap-7678	571	3	5	CARDINAL
ap-7678	571	4	log10(λ40(e	PERSON
ap-7678	571	5	6	CARDINAL
ap-7678	571	6	7	CARDINAL
ap-7678	571	7	log10(λ40(e	PERSON
ap-7678	571	8	8	CARDINAL
ap-7678	573	1	9	CARDINAL
ap-7678	573	2	10	CARDINAL
ap-7678	575	1	77	CARDINAL
ap-7678	575	2	carlos r.	PERSON
ap-7678	575	3	11	CARDINAL
ap-7678	577	1	12	CARDINAL
ap-7678	579	1	0.00	CARDINAL
ap-7678	579	2	−2	ORG
ap-7678	579	3	90	DATE
ap-7678	579	4	0	CARDINAL
ap-7678	580	1	ac1 = −2.611809356	ORG
ap-7678	580	2	ac2	PERSON
ap-7678	581	1	8	CARDINAL
ap-7678	581	2	25	CARDINAL
ap-7678	582	1	7	CARDINAL
ap-7678	582	2	≈ ac1	PERSON
ap-7678	583	1	4	CARDINAL
ap-7678	583	2	20, 30,	DATE
ap-7678	583	3	40	DATE
ap-7678	583	4	50	DATE
ap-7678	584	1	two	CARDINAL
ap-7678	584	2	1-3	CARDINAL
ap-7678	586	1	4	CARDINAL
ap-7678	588	1	0	CARDINAL
ap-7678	588	2	12	CARDINAL
ap-7678	588	3	1.15626707198811	CARDINAL
ap-7678	588	4	4.10922875280956	CARDINAL
ap-7678	588	5	7.56227385497590	MONEY
ap-7678	588	6	11.31442182025857	CARDINAL
ap-7678	590	1	8	CARDINAL
ap-7678	590	2	10	CARDINAL
ap-7678	591	1	11	CARDINAL
ap-7678	593	1	several one	CARDINAL
ap-7678	594	1	9	CARDINAL
ap-7678	596	1	2021	CARDINAL
ap-7678	596	2	miloslav znojil	PERSON
ap-7678	596	3	vit jakubsky	PERSON
ap-7678	596	4	the czech academy of sciences	ORG
ap-7678	597	1	daniel bessis	PERSON
ap-7678	597	2	john r. klauder	PERSON
ap-7678	597	3	jerzy cioslowski	PERSON
ap-7678	597	4	a. turbiner	PERSON
ap-7678	598	1	maribel	PERSON
ap-7678	599	1	1	CARDINAL
ap-7678	599	2	w. ritz	PERSON
ap-7678	599	3	über	ORG
ap-7678	599	4	methode	ORG
ap-7678	599	5	zur lösung gewisser variationsprobleme der mathematischen physik	ORG
ap-7678	600	1	journal für	PERSON
ap-7678	600	2	angewandte mathematik 1909(135):1–61,	ORG
ap-7678	600	3	1909	DATE
ap-7678	602	1	2	CARDINAL
ap-7678	604	1	london	GPE
ap-7678	604	2	119(782):276–293, 1928	DATE
ap-7678	606	1	3	CARDINAL
ap-7678	606	2	m. g. marmorino	PERSON
ap-7678	606	3	a. almayouf	PERSON
ap-7678	606	4	t. krause	GPE
ap-7678	606	5	d. le	ORG
ap-7678	608	1	50(4):833–842	DATE
ap-7678	608	2	2012	DATE
ap-7678	610	1	4	CARDINAL
ap-7678	610	2	r. martinazzo	PERSON
ap-7678	610	3	e. pollak	PERSON
ap-7678	611	1	90	CARDINAL
ap-7678	612	1	the national academy of sciences 117(28):16181–16186, 2020	ORG
ap-7678	614	1	5	CARDINAL
ap-7678	614	2	c. m. bender	PERSON
ap-7678	614	3	s. boettcher	PERSON
ap-7678	616	1	80:5243–5246, 1998	DATE
ap-7678	618	1	6	CARDINAL
ap-7678	618	2	p. dorey	PERSON
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