id	sid	eid	entity	type
aiti-5290	1	1	microsoft	ORG
aiti-5290	1	2	6-aiti#5290 270-291.docx	QUANTITY
aiti-5290	1	3	5	CARDINAL
aiti-5290	1	4	4, 2020	DATE
aiti-5290	2	1	270-291	CARDINAL
aiti-5290	2	2	3d	CARDINAL
aiti-5290	2	3	ren wang*	PERSON
aiti-5290	2	4	yun-shuo chang department	PERSON
aiti-5290	2	5	tamkang university	ORG
aiti-5290	2	6	taipei city	GPE
aiti-5290	3	1	taiwan	GPE
aiti-5290	3	2	17	CARDINAL
aiti-5290	3	3	february 2020	DATE
aiti-5290	3	4	25 april 2020	DATE
aiti-5290	3	5	23	CARDINAL
aiti-5290	3	6	june 2020	DATE
aiti-5290	5	1	decades	DATE
aiti-5290	7	1	3d	CARDINAL
aiti-5290	9	1	three	CARDINAL
aiti-5290	9	2	one	CARDINAL
aiti-5290	9	3	first	ORDINAL
aiti-5290	9	4	second	ORDINAL
aiti-5290	9	5	1/0.75	CARDINAL
aiti-5290	9	6	0.33	CARDINAL
aiti-5290	9	7	0.51	CARDINAL
aiti-5290	11	1	1	CARDINAL
aiti-5290	15	1	özkaya	PERSON
aiti-5290	16	1	1	CARDINAL
aiti-5290	17	1	mundrey	ORG
aiti-5290	18	1	2	CARDINAL
aiti-5290	18	2	2d	DATE
aiti-5290	18	3	bernoulli-euler	ORG
aiti-5290	18	4	2d	DATE
aiti-5290	19	1	phuoc nguyen et al	PERSON
aiti-5290	20	1	3	CARDINAL
aiti-5290	20	2	euler	PERSON
aiti-5290	21	1	chang	PERSON
aiti-5290	22	1	4	CARDINAL
aiti-5290	23	1	zhang et al	PERSON
aiti-5290	24	1	5	CARDINAL
aiti-5290	25	1	3d	CARDINAL
aiti-5290	29	1	6	CARDINAL
aiti-5290	32	1	3d	CARDINAL
aiti-5290	32	2	one	CARDINAL
aiti-5290	32	3	one	CARDINAL
aiti-5290	36	1	5	CARDINAL
aiti-5290	36	2	4, 2020	DATE
aiti-5290	37	1	270	CARDINAL
aiti-5290	37	2	271	CARDINAL
aiti-5290	40	1	3d	CARDINAL
aiti-5290	41	1	stoykov	PERSON
aiti-5290	41	2	ribeiro	PERSON
aiti-5290	41	3	8	CARDINAL
aiti-5290	41	4	3d	CARDINAL
aiti-5290	43	1	van horssen et al	PERSON
aiti-5290	44	1	9	CARDINAL
aiti-5290	44	2	three-to-one	DATE
aiti-5290	45	1	wang et al	PERSON
aiti-5290	46	1	11	CARDINAL
aiti-5290	46	2	nonlinear bernoulli-euler	ORG
aiti-5290	46	3	linear	ORG
aiti-5290	49	1	wang	PERSON
aiti-5290	49	2	hsiao	PERSON
aiti-5290	49	3	12	CARDINAL
aiti-5290	49	4	3d	CARDINAL
aiti-5290	50	1	first	ORDINAL
aiti-5290	51	1	tekin et al	PERSON
aiti-5290	52	1	13	CARDINAL
aiti-5290	52	2	three-to-one	DATE
aiti-5290	54	1	3d	CARDINAL
aiti-5290	56	1	nayfeh	ORG
aiti-5290	56	2	14	CARDINAL
aiti-5290	57	1	newton	ORG
aiti-5290	57	2	euler	PERSON
aiti-5290	57	3	karman	PERSON
aiti-5290	58	1	nayfeh	ORG
aiti-5290	59	1	6	CARDINAL
aiti-5290	59	2	lindstedt	PERSON
aiti-5290	62	1	15	CARDINAL
aiti-5290	63	1	nayfeh	ORG
aiti-5290	64	1	16	CARDINAL
aiti-5290	66	1	17	CARDINAL
aiti-5290	66	2	adm	ORG
aiti-5290	67	1	adm	ORG
aiti-5290	68	1	3d	CARDINAL
aiti-5290	71	1	18	CARDINAL
aiti-5290	71	2	19	CARDINAL
aiti-5290	72	1	3d	CARDINAL
aiti-5290	72	2	3d	CARDINAL
aiti-5290	75	1	linear	ORG
aiti-5290	77	1	3d	CARDINAL
aiti-5290	78	1	newton	ORG
aiti-5290	78	2	second	ORDINAL
aiti-5290	81	1	three	CARDINAL
aiti-5290	81	2	one	CARDINAL
aiti-5290	81	3	first	ORDINAL
aiti-5290	81	4	second	ORDINAL
aiti-5290	83	1	fourth	ORDINAL
aiti-5290	83	2	runge-kutta	PERSON
aiti-5290	84	1	5	CARDINAL
aiti-5290	84	2	4, 2020	DATE
aiti-5290	85	1	270	CARDINAL
aiti-5290	85	2	2.1	CARDINAL
aiti-5290	86	1	3d	CARDINAL
aiti-5290	88	1	1	CARDINAL
aiti-5290	88	2	fig	ORG
aiti-5290	89	1	1(a	CARDINAL
aiti-5290	95	1	fig	PERSON
aiti-5290	96	1	1(b	CARDINAL
aiti-5290	100	1	three	CARDINAL
aiti-5290	100	2	euler	PERSON
aiti-5290	102	1	newton	GPE
aiti-5290	102	2	2nd	ORDINAL
aiti-5290	102	3	euler angle	PERSON
aiti-5290	102	4	taylor series	PERSON
aiti-5290	102	5	14	CARDINAL
aiti-5290	105	1	2	CARDINAL
aiti-5290	107	1	3	CARDINAL
aiti-5290	107	2	1	CARDINAL
aiti-5290	109	1	w	GPE
aiti-5290	111	1	gx	ORG
aiti-5290	112	1	14	CARDINAL
aiti-5290	112	2	2	CARDINAL
aiti-5290	112	3	2 2	DATE
aiti-5290	113	1	1/ 2	DATE
aiti-5290	119	1	w w	FAC
aiti-5290	119	2	w dx	GPE
aiti-5290	119	3	w dx dx γ γ	ORG
aiti-5290	120	1	′′	ORG
aiti-5290	121	1	′′	ORG
aiti-5290	122	1	′′	ORG
aiti-5290	123	1	′′	ORG
aiti-5290	123	2	′′ ′	ORG
aiti-5290	124	1	′′	ORG
aiti-5290	130	1	4	CARDINAL
aiti-5290	130	2	5	CARDINAL
aiti-5290	130	3	4, 2020	DATE
aiti-5290	131	1	270	CARDINAL
aiti-5290	131	2	2 2	DATE
aiti-5290	132	1	1/ 2	DATE
aiti-5290	135	1	yy yy	PERSON
aiti-5290	138	1	w w	EVENT
aiti-5290	139	1	dx w	ORG
aiti-5290	139	2	w dx dx γ γ	ORG
aiti-5290	140	1	′′	ORG
aiti-5290	141	1	′′	ORG
aiti-5290	142	1	′′	ORG
aiti-5290	143	1	′′	ORG
aiti-5290	143	2	′′ ′	ORG
aiti-5290	144	1	′′	ORG
aiti-5290	150	1	5	CARDINAL
aiti-5290	150	2	2	CARDINAL
aiti-5290	154	1	w	ORG
aiti-5290	154	2	γ γ′ ′	ORG
aiti-5290	154	3	′′	ORG
aiti-5290	154	4	′′	ORG
aiti-5290	154	5	′′	ORG
aiti-5290	154	6	′′	ORG
aiti-5290	154	7	′′	ORG
aiti-5290	166	1	6	CARDINAL
aiti-5290	168	1	4	CARDINAL
aiti-5290	169	1	y yy z	PERSON
aiti-5290	175	1	md	GPE
aiti-5290	178	1	7	CARDINAL
aiti-5290	178	2	three	CARDINAL
aiti-5290	179	1	dir	GPE
aiti-5290	179	2	dir	GPE
aiti-5290	180	1	3d	CARDINAL
aiti-5290	180	2	2	CARDINAL
aiti-5290	180	3	2	CARDINAL
aiti-5290	181	1	1	CARDINAL
aiti-5290	181	2	1	CARDINAL
aiti-5290	181	3	2	CARDINAL
aiti-5290	184	1	′′	ORG
aiti-5290	185	1	′′	ORG
aiti-5290	186	1	′′	ORG
aiti-5290	186	2	′′ ′	ORG
aiti-5290	187	1	′′	ORG
aiti-5290	195	1	∫ ∫ ∫	ORG
aiti-5290	196	1	2	CARDINAL
aiti-5290	196	2	1	CARDINAL
aiti-5290	196	3	1	CARDINAL
aiti-5290	196	4	2 x	QUANTITY
aiti-5290	201	1	′′	ORG
aiti-5290	202	1	′′	ORG
aiti-5290	203	1	′′	ORG
aiti-5290	203	2	′′ ′	ORG
aiti-5290	205	1	′′	ORG
aiti-5290	213	1	∫ ∫ ∫	ORG
aiti-5290	214	1	9	CARDINAL
aiti-5290	214	2	2	CARDINAL
aiti-5290	214	3	xxy zy y z	PERSON
aiti-5290	215	1	j j j	PERSON
aiti-5290	215	2	′′	ORG
aiti-5290	215	3	′′	ORG
aiti-5290	215	4	′′	ORG
aiti-5290	215	5	′′	ORG
aiti-5290	215	6	′′	ORG
aiti-5290	215	7	′′	ORG
aiti-5290	226	1	10	CARDINAL
aiti-5290	226	2	1	CARDINAL
aiti-5290	226	3	1	CARDINAL
aiti-5290	229	1	0.1	CARDINAL
aiti-5290	231	1	2 4	DATE
aiti-5290	236	1	ω	ORDINAL
aiti-5290	236	2	11	CARDINAL
aiti-5290	236	3	van horssen	PERSON
aiti-5290	236	4	20	CARDINAL
aiti-5290	237	1	5	CARDINAL
aiti-5290	237	2	4, 2020	DATE
aiti-5290	238	1	270-291 274	QUANTITY
aiti-5290	238	2	0	CARDINAL
aiti-5290	238	3	2 3	DATE
aiti-5290	239	1	2	CARDINAL
aiti-5290	240	1	2	CARDINAL
aiti-5290	240	2	u ρ ρ 	ORG
aiti-5290	241	1	 ∂	PERSON
aiti-5290	243	1	∂	PERSON
aiti-5290	249	1	12	CARDINAL
aiti-5290	250	1	12	CARDINAL
aiti-5290	250	2	2 3	CARDINAL
aiti-5290	255	1	13	CARDINAL
aiti-5290	255	2	first	ORDINAL
aiti-5290	256	1	2	CARDINAL
aiti-5290	256	2	2	CARDINAL
aiti-5290	257	1	ρ ω	ORG
aiti-5290	257	2	14	CARDINAL
aiti-5290	257	3	2	DATE
aiti-5290	257	4	ρ ω	ORG
aiti-5290	257	5	15	CARDINAL
aiti-5290	257	6	2	CARDINAL
aiti-5290	257	7	2	CARDINAL
aiti-5290	257	8	ρ ω	ORG
aiti-5290	257	9	16	CARDINAL
aiti-5290	257	10	2	CARDINAL
aiti-5290	257	11	2	DATE
aiti-5290	257	12	u ρ ω	ORG
aiti-5290	257	13	17	CARDINAL
aiti-5290	257	14	2	CARDINAL
aiti-5290	257	15	2	CARDINAL
aiti-5290	257	16	ρ ω	ORG
aiti-5290	257	17	18	CARDINAL
aiti-5290	257	18	2	CARDINAL
aiti-5290	257	19	ρ ω	ORG
aiti-5290	257	20	19	CARDINAL
aiti-5290	257	21	2	CARDINAL
aiti-5290	257	22	2	DATE
aiti-5290	257	23	ρ ω	ORG
aiti-5290	257	24	20	CARDINAL
aiti-5290	257	25	2	DATE
aiti-5290	257	26	u ρ ω	ORG
aiti-5290	257	27	21	CARDINAL
aiti-5290	257	28	1	CARDINAL
aiti-5290	258	1	1	CARDINAL
aiti-5290	258	2	2	CARDINAL
aiti-5290	260	1	22	CARDINAL
aiti-5290	260	2	1 1ˆ	CARDINAL
aiti-5290	262	1	23	CARDINAL
aiti-5290	262	2	2	CARDINAL
aiti-5290	262	3	0ˆ	CARDINAL
aiti-5290	263	1	24	CARDINAL
aiti-5290	263	2	1 1ˆ	CARDINAL
aiti-5290	264	1	25	CARDINAL
aiti-5290	264	2	zero	CARDINAL
aiti-5290	264	3	22	DATE
aiti-5290	265	1	3d	CARDINAL
aiti-5290	268	1	5	CARDINAL
aiti-5290	268	2	4, 2020	DATE
aiti-5290	269	1	270-291 275	QUANTITY
aiti-5290	271	1	0	CARDINAL
aiti-5290	271	2	0	CARDINAL
aiti-5290	271	3	1	CARDINAL
aiti-5290	271	4	1	CARDINAL
aiti-5290	271	5	0	CARDINAL
aiti-5290	272	1	0	CARDINAL
aiti-5290	272	2	0	CARDINAL
aiti-5290	272	3	1	CARDINAL
aiti-5290	272	4	1	CARDINAL
aiti-5290	272	5	0	CARDINAL
aiti-5290	273	1	0	CARDINAL
aiti-5290	273	2	1	CARDINAL
aiti-5290	273	3	0	CARDINAL
aiti-5290	275	1	γ ′′	ORG
aiti-5290	275	2	′′	ORG
aiti-5290	275	3	′′	ORG
aiti-5290	275	4	′′	ORG
aiti-5290	276	1	26	CARDINAL
aiti-5290	276	2	2.2	CARDINAL
aiti-5290	276	3	2	CARDINAL
aiti-5290	276	4	eqs	ORG
aiti-5290	277	1	1)-(6	CARDINAL
aiti-5290	279	1	2	CARDINAL
aiti-5290	279	2	1 1	CARDINAL
aiti-5290	279	3	2	CARDINAL
aiti-5290	279	4	2 2	CARDINAL
aiti-5290	279	5	1	CARDINAL
aiti-5290	305	1	w w	FAC
aiti-5290	305	2	w dx	GPE
aiti-5290	305	3	γ γ γ − −	ORG
aiti-5290	307	1	′′	ORG
aiti-5290	309	1	′′	ORG
aiti-5290	309	2	′′	ORG
aiti-5290	311	1	′′ ′	ORG
aiti-5290	312	1	′′	ORG
aiti-5290	322	1	27	CARDINAL
aiti-5290	322	2	1 1	CARDINAL
aiti-5290	322	3	2	CARDINAL
aiti-5290	322	4	2 2	CARDINAL
aiti-5290	323	1	1	CARDINAL
aiti-5290	344	1	w w	EVENT
aiti-5290	345	1	dx w	ORG
aiti-5290	345	2	γ γ γ − − ′′ ′′	ORG
aiti-5290	346	1	′′	ORG
aiti-5290	348	1	′′	ORG
aiti-5290	348	2	′′	ORG
aiti-5290	350	1	′′ ′	ORG
aiti-5290	351	1	′′	ORG
aiti-5290	359	1	28	CARDINAL
aiti-5290	359	2	2 2	CARDINAL
aiti-5290	374	1	yy	PERSON
aiti-5290	389	1	w	ORG
aiti-5290	389	2	γ γ γ	GPE
aiti-5290	389	3	′′	ORG
aiti-5290	389	4	′′	ORG
aiti-5290	389	5	′′	ORG
aiti-5290	403	1	29	CARDINAL
aiti-5290	403	2	1	CARDINAL
aiti-5290	403	3	2	CARDINAL
aiti-5290	405	1	3	CARDINAL
aiti-5290	405	2	3	CARDINAL
aiti-5290	405	3	1	CARDINAL
aiti-5290	405	4	1	CARDINAL
aiti-5290	405	5	two	CARDINAL
aiti-5290	408	1	1 2 4	DATE
aiti-5290	413	1	ω	ORDINAL
aiti-5290	413	2	30	CARDINAL
aiti-5290	413	3	2	CARDINAL
aiti-5290	413	4	1 2	CARDINAL
aiti-5290	413	5	1 1 2	CARDINAL
aiti-5290	413	6	0	CARDINAL
aiti-5290	413	7	2 3	DATE
aiti-5290	414	1	2	CARDINAL
aiti-5290	415	1	2	CARDINAL
aiti-5290	415	2	u ρ ρ 	ORG
aiti-5290	416	1	 ∂	PERSON
aiti-5290	418	1	∂	PERSON
aiti-5290	420	1	 ∂	PERSON
aiti-5290	420	2	∂ ∂ 	PRODUCT
aiti-5290	420	3	31	CARDINAL
aiti-5290	420	4	5	CARDINAL
aiti-5290	420	5	4, 2020	DATE
aiti-5290	421	1	270-291 276	QUANTITY
aiti-5290	421	2	2 3	CARDINAL
aiti-5290	426	1	32	CARDINAL
aiti-5290	426	2	2 1	CARDINAL
aiti-5290	426	3	0 2 1 ˆ 2	QUANTITY
aiti-5290	426	4	ρ ω	ORG
aiti-5290	426	5	33	CARDINAL
aiti-5290	426	6	ρ ω	ORG
aiti-5290	426	7	34	CARDINAL
aiti-5290	426	8	1	CARDINAL
aiti-5290	426	9	2	CARDINAL
aiti-5290	426	10	ρ ω	ORG
aiti-5290	426	11	35	CARDINAL
aiti-5290	426	12	2	CARDINAL
aiti-5290	426	13	u ρ ω	ORG
aiti-5290	426	14	36	CARDINAL
aiti-5290	426	15	2 1	CARDINAL
aiti-5290	426	16	0 2 1 ˆ 2	QUANTITY
aiti-5290	426	17	ρ ω	ORG
aiti-5290	426	18	37	CARDINAL
aiti-5290	426	19	1	CARDINAL
aiti-5290	426	20	2	CARDINAL
aiti-5290	426	21	ρ ω	ORG
aiti-5290	426	22	38	CARDINAL
aiti-5290	426	23	1	CARDINAL
aiti-5290	426	24	ρ ω	ORG
aiti-5290	426	25	39	CARDINAL
aiti-5290	426	26	1 3	CARDINAL
aiti-5290	426	27	u ρ ω	ORG
aiti-5290	426	28	40	CARDINAL
aiti-5290	426	29	eqs	ORG
aiti-5290	427	1	30)-(32	CARDINAL
aiti-5290	427	2	two	CARDINAL
aiti-5290	428	1	eqs	CARDINAL
aiti-5290	429	1	11)-(21	DATE
aiti-5290	429	2	eqs	ORG
aiti-5290	430	1	30)-(32	CARDINAL
aiti-5290	430	2	first	ORDINAL
aiti-5290	432	1	1 1 1 1 4 1 2 2 1 1 1 1 2 2 2 1 1 1	TIME
aiti-5290	444	1	y yy z	PERSON
aiti-5290	449	1	zz yy x x	PERSON
aiti-5290	458	1	41	CARDINAL
aiti-5290	458	2	1	CARDINAL
aiti-5290	458	3	1	CARDINAL
aiti-5290	458	4	2 2	CARDINAL
aiti-5290	458	5	0	CARDINAL
aiti-5290	458	6	1	CARDINAL
aiti-5290	458	7	1	CARDINAL
aiti-5290	458	8	2	CARDINAL
aiti-5290	477	1	dx dx	PERSON
aiti-5290	479	1	′′	ORG
aiti-5290	481	1	′′	ORG
aiti-5290	481	2	′′	ORG
aiti-5290	489	1	42	CARDINAL
aiti-5290	489	2	1	CARDINAL
aiti-5290	489	3	0	CARDINAL
aiti-5290	490	1	2 2	CARDINAL
aiti-5290	490	2	0	CARDINAL
aiti-5290	491	1	1	CARDINAL
aiti-5290	491	2	1	CARDINAL
aiti-5290	491	3	2	CARDINAL
aiti-5290	507	1	dx dx	PERSON
aiti-5290	509	1	′′	ORG
aiti-5290	511	1	′′	ORG
aiti-5290	511	2	′′	ORG
aiti-5290	519	1	43	CARDINAL
aiti-5290	519	2	5	CARDINAL
aiti-5290	519	3	4, 2020	DATE
aiti-5290	520	1	270-291 277	QUANTITY
aiti-5290	520	2	1	CARDINAL
aiti-5290	520	3	1 2	CARDINAL
aiti-5290	533	1	44	DATE
aiti-5290	533	2	45	CARDINAL
aiti-5290	533	3	46	DATE
aiti-5290	533	4	two	CARDINAL
aiti-5290	533	5	1	CARDINAL
aiti-5290	533	6	1	CARDINAL
aiti-5290	533	7	2	CARDINAL
aiti-5290	533	8	2	CARDINAL
aiti-5290	533	9	1	CARDINAL
aiti-5290	533	10	1	CARDINAL
aiti-5290	533	11	2	CARDINAL
aiti-5290	533	12	2	CARDINAL
aiti-5290	533	13	1	CARDINAL
aiti-5290	533	14	2	CARDINAL
aiti-5290	533	15	0	CARDINAL
aiti-5290	533	16	0	CARDINAL
aiti-5290	533	17	1	CARDINAL
aiti-5290	533	18	1	CARDINAL
aiti-5290	533	19	0	CARDINAL
aiti-5290	534	1	0	CARDINAL
aiti-5290	534	2	0	CARDINAL
aiti-5290	534	3	1	CARDINAL
aiti-5290	534	4	1	CARDINAL
aiti-5290	534	5	0	CARDINAL
aiti-5290	535	1	0	CARDINAL
aiti-5290	535	2	1	CARDINAL
aiti-5290	535	3	0	CARDINAL
aiti-5290	537	1	γ ′′	ORG
aiti-5290	537	2	′′	ORG
aiti-5290	538	1	′′	ORG
aiti-5290	538	2	′′	ORG
aiti-5290	539	1	45	CARDINAL
aiti-5290	539	2	1	CARDINAL
aiti-5290	539	3	2	CARDINAL
aiti-5290	539	4	1	CARDINAL
aiti-5290	539	5	2	CARDINAL
aiti-5290	539	6	1	CARDINAL
aiti-5290	539	7	2	CARDINAL
aiti-5290	539	8	1	CARDINAL
aiti-5290	539	9	2	CARDINAL
aiti-5290	539	10	1	CARDINAL
aiti-5290	539	11	2	CARDINAL
aiti-5290	539	12	0	CARDINAL
aiti-5290	539	13	0	CARDINAL
aiti-5290	539	14	0	CARDINAL
aiti-5290	539	15	0	CARDINAL
aiti-5290	539	16	0	CARDINAL
aiti-5290	539	17	η η η η γ η	PERSON
aiti-5290	541	1	46	CARDINAL
aiti-5290	541	2	5	CARDINAL
aiti-5290	541	3	6	CARDINAL
aiti-5290	542	1	2.3	CARDINAL
aiti-5290	546	1	7	CARDINAL
aiti-5290	546	2	70	CARDINAL
aiti-5290	546	3	86	CARDINAL
aiti-5290	546	4	1 3	CARDINAL
aiti-5290	546	5	0	CARDINAL
aiti-5290	546	6	1	CARDINAL
aiti-5290	546	7	0	CARDINAL
aiti-5290	546	8	1	CARDINAL
aiti-5290	546	9	0	CARDINAL
aiti-5290	546	10	1	CARDINAL
aiti-5290	564	1	47	CARDINAL
aiti-5290	564	2	8	CARDINAL
aiti-5290	565	1	89	CARDINAL
aiti-5290	565	2	8	CARDINAL
aiti-5290	566	1	two	CARDINAL
aiti-5290	567	1	86	CARDINAL
aiti-5290	567	2	8	CARDINAL
aiti-5290	568	1	first	ORDINAL
aiti-5290	568	2	two	CARDINAL
aiti-5290	569	1	8	CARDINAL
aiti-5290	569	2	86	CARDINAL
aiti-5290	570	1	8	CARDINAL
aiti-5290	570	2	86	CARDINAL
aiti-5290	571	1	eqs	ORG
aiti-5290	572	1	42)-(44	CARDINAL
aiti-5290	572	2	80	CARDINAL
aiti-5290	573	1	2	CARDINAL
aiti-5290	573	2	0	CARDINAL
aiti-5290	573	3	1	DATE
aiti-5290	575	1	48	DATE
aiti-5290	575	2	8	CARDINAL
aiti-5290	575	3	1 2	CARDINAL
aiti-5290	575	4	1	CARDINAL
aiti-5290	575	5	1	CARDINAL
aiti-5290	576	1	0	CARDINAL
aiti-5290	576	2	0	CARDINAL
aiti-5290	576	3	0	CARDINAL
aiti-5290	576	4	0	CARDINAL
aiti-5290	576	5	0	CARDINAL
aiti-5290	576	6	0 2 2	MONEY
aiti-5290	576	7	0	CARDINAL
aiti-5290	577	1	0	CARDINAL
aiti-5290	577	2	1	CARDINAL
aiti-5290	577	3	2 1	DATE
aiti-5290	597	1	dx dx	PERSON
aiti-5290	599	1	′′	ORG
aiti-5290	604	1	49	DATE
aiti-5290	604	2	80	CARDINAL
aiti-5290	604	3	z	ORG
aiti-5290	604	4	2	CARDINAL
aiti-5290	604	5	0	CARDINAL
aiti-5290	604	6	1	DATE
aiti-5290	608	1	50	CARDINAL
aiti-5290	608	2	8	CARDINAL
aiti-5290	609	1	5	CARDINAL
aiti-5290	609	2	4, 2020	DATE
aiti-5290	610	1	270-291 278	QUANTITY
aiti-5290	610	2	1 2	CARDINAL
aiti-5290	610	3	1	CARDINAL
aiti-5290	610	4	1	CARDINAL
aiti-5290	610	5	0 1 0	CARDINAL
aiti-5290	610	6	0	CARDINAL
aiti-5290	610	7	0	CARDINAL
aiti-5290	610	8	0	CARDINAL
aiti-5290	610	9	0	CARDINAL
aiti-5290	610	10	0	CARDINAL
aiti-5290	610	11	0 2 2	MONEY
aiti-5290	610	12	0	CARDINAL
aiti-5290	610	13	0	CARDINAL
aiti-5290	610	14	1	CARDINAL
aiti-5290	610	15	2 1	DATE
aiti-5290	628	1	dx dx	PERSON
aiti-5290	630	1	′′	ORG
aiti-5290	635	1	51	CARDINAL
aiti-5290	635	2	80	CARDINAL
aiti-5290	635	3	γ	GPE
aiti-5290	635	4	2	CARDINAL
aiti-5290	635	5	0	CARDINAL
aiti-5290	635	6	0	CARDINAL
aiti-5290	635	7	1	DATE
aiti-5290	637	1	52	CARDINAL
aiti-5290	637	2	8	CARDINAL
aiti-5290	637	3	2	CARDINAL
aiti-5290	637	4	1	CARDINAL
aiti-5290	637	5	1	CARDINAL
aiti-5290	637	6	0	CARDINAL
aiti-5290	637	7	1 22	CARDINAL
aiti-5290	644	1	53	CARDINAL
aiti-5290	644	2	two	CARDINAL
aiti-5290	644	3	80	CARDINAL
aiti-5290	644	4	1)0 (1)0	DATE
aiti-5290	644	5	2)0	CARDINAL
aiti-5290	644	6	1)0 (1)0	DATE
aiti-5290	644	7	2)0	CARDINAL
aiti-5290	644	8	1)0	CARDINAL
aiti-5290	644	9	2)0	CARDINAL
aiti-5290	644	10	0	CARDINAL
aiti-5290	644	11	0	CARDINAL
aiti-5290	644	12	1	CARDINAL
aiti-5290	644	13	1	CARDINAL
aiti-5290	644	14	0	CARDINAL
aiti-5290	644	15	0	CARDINAL
aiti-5290	644	16	1	CARDINAL
aiti-5290	644	17	1	CARDINAL
aiti-5290	644	18	0	CARDINAL
aiti-5290	644	19	1	CARDINAL
aiti-5290	644	20	0	CARDINAL
aiti-5290	646	1	γ ′′	ORG
aiti-5290	646	2	′′	ORG
aiti-5290	647	1	′′	ORG
aiti-5290	647	2	′′	ORG
aiti-5290	648	1	54	CARDINAL
aiti-5290	648	2	1)0 (2)0	CARDINAL
aiti-5290	648	3	1)0 (2)0	CARDINAL
aiti-5290	648	4	1)0 (2)0	CARDINAL
aiti-5290	648	5	1)0 (2)0	CARDINAL
aiti-5290	648	6	1)0	CARDINAL
aiti-5290	648	7	0	CARDINAL
aiti-5290	648	8	0	CARDINAL
aiti-5290	648	9	0	CARDINAL
aiti-5290	648	10	0	CARDINAL
aiti-5290	648	11	0	CARDINAL
aiti-5290	650	1	η η η η γ η	PERSON
aiti-5290	652	1	55	CARDINAL
aiti-5290	652	2	8	CARDINAL
aiti-5290	652	3	1)1	CARDINAL
aiti-5290	652	4	1)1	CARDINAL
aiti-5290	652	5	2)1	CARDINAL
aiti-5290	652	6	2)1	CARDINAL
aiti-5290	652	7	1)1	CARDINAL
aiti-5290	652	8	1)1	CARDINAL
aiti-5290	652	9	2)1	CARDINAL
aiti-5290	652	10	2)1	CARDINAL
aiti-5290	652	11	1)0	CARDINAL
aiti-5290	652	12	2)0	CARDINAL
aiti-5290	652	13	0	CARDINAL
aiti-5290	652	14	0	CARDINAL
aiti-5290	652	15	1	CARDINAL
aiti-5290	652	16	1	CARDINAL
aiti-5290	652	17	0	CARDINAL
aiti-5290	652	18	0	CARDINAL
aiti-5290	652	19	1	CARDINAL
aiti-5290	652	20	1	CARDINAL
aiti-5290	652	21	0	CARDINAL
aiti-5290	652	22	1	CARDINAL
aiti-5290	652	23	0	CARDINAL
aiti-5290	654	1	γ ′′	ORG
aiti-5290	654	2	′′	ORG
aiti-5290	655	1	′′	ORG
aiti-5290	655	2	′′	ORG
aiti-5290	656	1	56	CARDINAL
aiti-5290	656	2	1)1 (	CARDINAL
aiti-5290	656	3	2)1	CARDINAL
aiti-5290	656	4	1)1	CARDINAL
aiti-5290	656	5	2)1	CARDINAL
aiti-5290	656	6	1)1	CARDINAL
aiti-5290	656	7	2)1	CARDINAL
aiti-5290	656	8	1)1	CARDINAL
aiti-5290	656	9	2)1	CARDINAL
aiti-5290	656	10	1)1	CARDINAL
aiti-5290	656	11	2)1	CARDINAL
aiti-5290	656	12	0	CARDINAL
aiti-5290	656	13	0	CARDINAL
aiti-5290	656	14	0	CARDINAL
aiti-5290	656	15	0	CARDINAL
aiti-5290	656	16	0	CARDINAL
aiti-5290	658	1	η η η η γ η	PERSON
aiti-5290	660	1	57	CARDINAL
aiti-5290	660	2	2.4	CARDINAL
aiti-5290	661	1	3d	CARDINAL
aiti-5290	662	1	section 2.3	LAW
aiti-5290	662	2	80	CARDINAL
aiti-5290	663	1	48	CARDINAL
aiti-5290	666	1	48	CARDINAL
aiti-5290	666	2	2 40	CARDINAL
aiti-5290	667	1	tx	ORG
aiti-5290	669	1	58	CARDINAL
aiti-5290	671	1	1 2	CARDINAL
aiti-5290	673	1	cos cosh	ORG
aiti-5290	673	2	cos cosh	ORG
aiti-5290	678	1	59	CARDINAL
aiti-5290	678	2	5	CARDINAL
aiti-5290	678	3	4, 2020	DATE
aiti-5290	679	1	270-291 279	QUANTITY
aiti-5290	679	2	cos cosh	ORG
aiti-5290	679	3	1α	CARDINAL
aiti-5290	679	4	60	CARDINAL
aiti-5290	679	5	coscosh sinhsin	PERSON
aiti-5290	679	6	sinhsin	PERSON
aiti-5290	680	1	61	CARDINAL
aiti-5290	680	2	3	CARDINAL
aiti-5290	680	3	3.1	CARDINAL
aiti-5290	683	1	21	CARDINAL
aiti-5290	683	2	22	CARDINAL
aiti-5290	683	3	1/0.6 to 1/0.9	DATE
aiti-5290	684	1	1/0.75	CARDINAL
aiti-5290	685	1	17	CARDINAL
aiti-5290	685	2	23	CARDINAL
aiti-5290	685	3	5	CARDINAL
aiti-5290	686	1	5	CARDINAL
aiti-5290	686	2	0	CARDINAL
aiti-5290	686	3	1	CARDINAL
aiti-5290	686	4	2(i	CARDINAL
aiti-5290	687	1	62	CARDINAL
aiti-5290	688	1	62	CARDINAL
aiti-5290	689	1	48	CARDINAL
aiti-5290	689	2	0	CARDINAL
aiti-5290	689	3	1	CARDINAL
aiti-5290	689	4	2	CARDINAL
aiti-5290	691	1	tx	ORG
aiti-5290	694	1	− 　 	PERSON
aiti-5290	694	2	63	DATE
aiti-5290	694	3	1	CARDINAL
aiti-5290	698	1	64	CARDINAL
aiti-5290	698	2	2	CARDINAL
aiti-5290	698	3	2	CARDINAL
aiti-5290	703	1	65	CARDINAL
aiti-5290	703	2	eigen	ORG
aiti-5290	704	1	23	CARDINAL
aiti-5290	704	2	f6	ORG
aiti-5290	704	3	g6	ORG
aiti-5290	704	4	0/hf0	ORG
aiti-5290	705	1	0/6f0	CARDINAL
aiti-5290	705	2	1.1547f0	ORDINAL
aiti-5290	706	1	1	CARDINAL
aiti-5290	706	2	2	CARDINAL
aiti-5290	706	3	1	CARDINAL
aiti-5290	706	4	h xϕ	ORG
aiti-5290	707	1	−	GPE
aiti-5290	707	2	66	CARDINAL
aiti-5290	708	1	2	CARDINAL
aiti-5290	708	2	1	CARDINAL
aiti-5290	708	3	1.1547	CARDINAL
aiti-5290	709	1		PERSON
aiti-5290	709	2	  = 	ORG
aiti-5290	709	3	−	GPE
aiti-5290	709	4	67	CARDINAL
aiti-5290	709	5	5	CARDINAL
aiti-5290	709	6	4, 2020	DATE
aiti-5290	710	1	270-291	QUANTITY
aiti-5290	711	1	2	CARDINAL
aiti-5290	711	2		PERSON
aiti-5290	711	3	− = 	ORG
aiti-5290	711	4	−	GPE
aiti-5290	711	5	68	CARDINAL
aiti-5290	711	6	2nd	ORDINAL
aiti-5290	711	7	1st	ORDINAL
aiti-5290	713	1	1(1	CARDINAL
aiti-5290	713	2	1	CARDINAL
aiti-5290	713	3	1)−	CARDINAL
aiti-5290	713	4	69	CARDINAL
aiti-5290	713	5	1	CARDINAL
aiti-5290	713	6	2	CARDINAL
aiti-5290	713	7	70	CARDINAL
aiti-5290	713	8	1 1 1 1 1	QUANTITY
aiti-5290	713	9	1	CARDINAL
aiti-5290	713	10	1	CARDINAL
aiti-5290	715	1		ORG
aiti-5290	715	2	71	CARDINAL
aiti-5290	715	3	cosh sinh cos sin sinh cosh	ORG
aiti-5290	715	4	s s s s s s s s − −  =  −  b	ORG
aiti-5290	715	5	72	CARDINAL
aiti-5290	715	6	1.1547 1	CARDINAL
aiti-5290	715	7	5	CARDINAL
aiti-5290	715	8	2	CARDINAL
aiti-5290	717	1	73	CARDINAL
aiti-5290	718	1	70	CARDINAL
aiti-5290	719	1	73	CARDINAL
aiti-5290	719	2	1	CARDINAL
aiti-5290	719	3	0	CARDINAL
aiti-5290	722	1	11 12	DATE
aiti-5290	722	2	22	CARDINAL
aiti-5290	722	3	23	CARDINAL
aiti-5290	722	4	h h	ORG
aiti-5290	727	1	   h	ORG
aiti-5290	727	2	75	CARDINAL
aiti-5290	728	1	eqs	ORG
aiti-5290	729	1	71	CARDINAL
aiti-5290	729	2	74	CARDINAL
aiti-5290	729	3	24 1 1	TIME
aiti-5290	729	4	1	CARDINAL
aiti-5290	729	5	1	CARDINAL
aiti-5290	729	6	1	CARDINAL
aiti-5290	735	1	76	CARDINAL
aiti-5290	735	2	eigen	ORG
aiti-5290	736	1	5	CARDINAL
aiti-5290	736	2	4, 2020	DATE
aiti-5290	737	1	270-291	CARDINAL
aiti-5290	737	2	24 1	TIME
aiti-5290	737	3	1	CARDINAL
aiti-5290	737	4	0	CARDINAL
aiti-5290	740	1	−	ORG
aiti-5290	742	1	77	CARDINAL
aiti-5290	742	2	00 1	CARDINAL
aiti-5290	744	1	78	CARDINAL
aiti-5290	744	2	11 1	CARDINAL
aiti-5290	745	1	79	CARDINAL
aiti-5290	745	2	eqs	ORG
aiti-5290	746	1	79	CARDINAL
aiti-5290	746	2	eqs	ORG
aiti-5290	747	1	48	CARDINAL
aiti-5290	747	2	49	CARDINAL
aiti-5290	747	3	80	CARDINAL
aiti-5290	747	4	0	CARDINAL
aiti-5290	747	5	1 0y m	QUANTITY
aiti-5290	748	1	y md	PERSON
aiti-5290	748	2	ξ+	CARDINAL
aiti-5290	748	3	80	CARDINAL
aiti-5290	748	4	8	CARDINAL
aiti-5290	748	5	1 1	CARDINAL
aiti-5290	748	6	1	CARDINAL
aiti-5290	748	7	1 1	CARDINAL
aiti-5290	748	8	3	CARDINAL
aiti-5290	748	9	3	CARDINAL
aiti-5290	758	1	dx dx g dx ξ	ORG
aiti-5290	760	1	′′	ORG
aiti-5290	760	2	′′	ORG
aiti-5290	760	3	′′	ORG
aiti-5290	761	1	′′	ORG
aiti-5290	761	2	′′ ′	ORG
aiti-5290	765	1	′′	ORG
aiti-5290	765	2	′′	ORG
aiti-5290	765	3	′′	ORG
aiti-5290	766	1	′′	ORG
aiti-5290	767	1	∫ ∫ ∫ ∫ ∫ ɶ	ORG
aiti-5290	767	2	1	CARDINAL
aiti-5290	767	3	1	CARDINAL
aiti-5290	767	4	1	CARDINAL
aiti-5290	767	5	2	CARDINAL
aiti-5290	797	1	dx dx dx	ORG
aiti-5290	798	1	dx ϕ ϕ ϕ ϕ ϕ ϕ ϕ ϕ ξ ξ ξ ξ ξ ξ ξ ξ ξ ξ ξ ξ ξ ϕ ϕ ϕ ϕ ϕ ϕ ϕ − −	ORG
aiti-5290	798	2	′′ ′ ′′′	ORG
aiti-5290	806	1	∫ ∫ ∫ ∑ ∫	ORG
aiti-5290	811	1	21	CARDINAL
aiti-5290	819	1		NORP
aiti-5290	820	1	 	GPE
aiti-5290	820	2	∑∫ ∫ ∫ɶɶ	PERSON
aiti-5290	820	3	81	CARDINAL
aiti-5290	820	4	2	DATE
aiti-5290	820	5	3	CARDINAL
aiti-5290	821	1	80	CARDINAL
aiti-5290	822	1	5	CARDINAL
aiti-5290	823	1	3	CARDINAL
aiti-5290	823	2	i.r.	GPE
aiti-5290	828	1	i.r.	GPE
aiti-5290	829	1	5	CARDINAL
aiti-5290	829	2	0.33	CARDINAL
aiti-5290	829	3	1	CARDINAL
aiti-5290	829	4	3	CARDINAL
aiti-5290	829	5	5	CARDINAL
aiti-5290	829	6	0.68 & 0.86	MONEY
aiti-5290	829	7	1	CARDINAL
aiti-5290	829	8	5	CARDINAL
aiti-5290	829	9	5	CARDINAL
aiti-5290	829	10	0.25	CARDINAL
aiti-5290	829	11	1	CARDINAL
aiti-5290	829	12	6	CARDINAL
aiti-5290	829	13	i.r.	GPE
aiti-5290	831	1	53	CARDINAL
aiti-5290	831	2	only 1:3	CARDINAL
aiti-5290	831	3	i.r	GPE
aiti-5290	831	4	the 1st and 2nd	DATE
aiti-5290	832	1	1:3	CARDINAL
aiti-5290	832	2	i.r.	GPE
aiti-5290	832	3	the 1st and 2nd	DATE
aiti-5290	833	1	5	CARDINAL
aiti-5290	833	2	0.33	CARDINAL
aiti-5290	833	3	eqs	CARDINAL
aiti-5290	834	1	68	CARDINAL
aiti-5290	834	2	72	CARDINAL
aiti-5290	835	1	eqs	ORG
aiti-5290	836	1	67)-(76	CARDINAL
aiti-5290	836	2	first	ORDINAL
aiti-5290	836	3	three	CARDINAL
aiti-5290	836	4	4.03	CARDINAL
aiti-5290	836	5	6.98	CARDINAL
aiti-5290	836	6	10.04	CARDINAL
aiti-5290	837	1	1st	ORDINAL
aiti-5290	838	1	76	CARDINAL
aiti-5290	839	1	2nd	ORDINAL
aiti-5290	840	1	70	CARDINAL
aiti-5290	841	1	the 1st	DATE
aiti-5290	841	2	2nd	ORDINAL
aiti-5290	841	3	eqs	ORG
aiti-5290	842	1	65)-(66	CARDINAL
aiti-5290	843	1	5	CARDINAL
aiti-5290	843	2	5	CARDINAL
aiti-5290	843	3	4, 2020	DATE
aiti-5290	844	1	270-291 282	QUANTITY
aiti-5290	845	1	3	CARDINAL
aiti-5290	845	2	3.2	CARDINAL
aiti-5290	846	1	1:3	CARDINAL
aiti-5290	846	2	i.r	GPE
aiti-5290	846	3	the 1st and 2nd	DATE
aiti-5290	846	4	the 1st and 2nd	DATE
aiti-5290	847	1	0	CARDINAL
aiti-5290	848	1	82	CARDINAL
aiti-5290	848	2	0	CARDINAL
aiti-5290	848	3	0 00 1	DATE
aiti-5290	849	1	md	GPE
aiti-5290	850	1	83	CARDINAL
aiti-5290	850	2	0	CARDINAL
aiti-5290	853	1	md	GPE
aiti-5290	854	1	ω ς ωξ ω ω ς− −′	DATE
aiti-5290	855	1	84	CARDINAL
aiti-5290	857	1	81	CARDINAL
aiti-5290	859	1	81	CARDINAL
aiti-5290	861	1	81	CARDINAL
aiti-5290	862	1	s6	ORG
aiti-5290	862	2	2s0	CARDINAL
aiti-5290	863	1	1st	ORDINAL
aiti-5290	863	2	1	CARDINAL
aiti-5290	864	1	s6	GPE
aiti-5290	864	2	3s0for	ORG
aiti-5290	864	3	s6	ORG
aiti-5290	864	4	2s0	TIME
aiti-5290	864	5	s6	GPE
aiti-5290	864	6	3s0	DATE
aiti-5290	867	1	the 1st and 2nd	DATE
aiti-5290	868	1	fig	ORG
aiti-5290	869	1	4	CARDINAL
aiti-5290	869	2	1/0.75	CARDINAL
aiti-5290	869	3	5	CARDINAL
aiti-5290	869	4	0.33	CARDINAL
aiti-5290	870	1	5	CARDINAL
aiti-5290	870	2	1/0.75	CARDINAL
aiti-5290	870	3	5	CARDINAL
aiti-5290	870	4	0.33	CARDINAL
aiti-5290	870	5	5	CARDINAL
aiti-5290	870	6	4, 2020	DATE
aiti-5290	871	1	270-291 283	QUANTITY
aiti-5290	872	1	4-5	CARDINAL
aiti-5290	872	2	5	CARDINAL
aiti-5290	872	3	0.33	CARDINAL
aiti-5290	872	4	the 1st and 2nd	DATE
aiti-5290	873	1	i.r	GPE
aiti-5290	873	2	the 1st and 2nd	DATE
aiti-5290	874	1	5	CARDINAL
aiti-5290	874	2	0.51	CARDINAL
aiti-5290	876	1	6	CARDINAL
aiti-5290	876	2	the 1st and 2nd	DATE
aiti-5290	877	1	fig	ORG
aiti-5290	878	1	6	CARDINAL
aiti-5290	878	2	1/0.75	CARDINAL
aiti-5290	878	3	5	CARDINAL
aiti-5290	878	4	0.51	CARDINAL
aiti-5290	879	1	7	CARDINAL
aiti-5290	879	2	1/0.75	CARDINAL
aiti-5290	879	3	5	CARDINAL
aiti-5290	879	4	0.51	CARDINAL
aiti-5290	879	5	fourth	ORDINAL
aiti-5290	879	6	runge-kutta	PERSON
aiti-5290	880	1	fourth	ORDINAL
aiti-5290	880	2	kutta	NORP
aiti-5290	881	1	linear	ORG
aiti-5290	882	1	1 yn	CARDINAL
aiti-5290	883	1	85	CARDINAL
aiti-5290	883	2	1 zn	QUANTITY
aiti-5290	884	1	86	CARDINAL
aiti-5290	884	2	eqs	CARDINAL
aiti-5290	884	3	85	CARDINAL
aiti-5290	884	4	86	CARDINAL
aiti-5290	884	5	eqs	ORG
aiti-5290	885	1	42	CARDINAL
aiti-5290	885	2	2	CARDINAL
aiti-5290	889	1	2	CARDINAL
aiti-5290	890	1	2 2	CARDINAL
aiti-5290	905	1	2	CARDINAL
aiti-5290	909	1	87	CARDINAL
aiti-5290	909	2	2	CARDINAL
aiti-5290	909	3	10 1 1 1 1 1 1 1 21	TIME
aiti-5290	913	1	2 1 1 1 1 1 1 23	TIME
aiti-5290	914	1	2 2	CARDINAL
aiti-5290	930	1	1 2	CARDINAL
aiti-5290	936	1	88	CARDINAL
aiti-5290	936	2	5	CARDINAL
aiti-5290	936	3	4, 2020	DATE
aiti-5290	937	1	270-291 284	QUANTITY
aiti-5290	940	1	2	CARDINAL
aiti-5290	941	1	2 2 z z z z z z y y y z z z z z z z y y y z z z z y y y z z z z z z z y y y y	QUANTITY
aiti-5290	946	1	1	CARDINAL
aiti-5290	957	1	89	CARDINAL
aiti-5290	957	2	2	CARDINAL
aiti-5290	957	3	10 1 1 1 1 1 1 1 21	TIME
aiti-5290	962	1	2 1 1 1 1 1 1 23	TIME
aiti-5290	963	1	2 2 z z z z z z z y y y y y y z z z z y y y z z z z y y y z z z z z z z y y y	QUANTITY
aiti-5290	975	1	1 2	CARDINAL
aiti-5290	986	1	90	CARDINAL
aiti-5290	986	2	appendix	NORP
aiti-5290	987	1	eqs	PERSON
aiti-5290	988	1	8	CARDINAL
aiti-5290	988	2	1/0.75	CARDINAL
aiti-5290	988	3	j = k.	PERSON
aiti-5290	988	4	9	CARDINAL
aiti-5290	988	5	1/0.75	CARDINAL
aiti-5290	988	6	j = k. mn	PERSON
aiti-5290	989	1	8-11	CARDINAL
aiti-5290	991	1	8-9	CARDINAL
aiti-5290	993	1	10-11	CARDINAL
aiti-5290	994	1	vel	PERSON
aiti-5290	996	1	8-11	CARDINAL
aiti-5290	996	2	i.r.	GPE
aiti-5290	997	1	5	CARDINAL
aiti-5290	997	2	4, 2020	DATE
aiti-5290	998	1	270-291 285	QUANTITY
aiti-5290	999	1	10	CARDINAL
aiti-5290	999	2	1/0.75	CARDINAL
aiti-5290	999	3	j = k.	PERSON
aiti-5290	1000	1	eqs	ORG
aiti-5290	1003	1	11	CARDINAL
aiti-5290	1003	2	1/0.75	CARDINAL
aiti-5290	1003	3	j = k. mn	PERSON
aiti-5290	1003	4	y-dir	ORG
aiti-5290	1003	5	4	CARDINAL
aiti-5290	1004	1	4.1	CARDINAL
aiti-5290	1005	1	section 3.2	LAW
aiti-5290	1005	2	1/0.75	CARDINAL
aiti-5290	1005	3	5	CARDINAL
aiti-5290	1005	4	0.33&0.51	DATE
aiti-5290	1005	5	1:3	CARDINAL
aiti-5290	1005	6	i.r.	GPE
aiti-5290	1005	7	the 1st and 2nd	DATE
aiti-5290	1006	1	1/0.6 to 1/0.9	DATE
aiti-5290	1008	1	12	CARDINAL
aiti-5290	1008	2	less than	CARDINAL
aiti-5290	1008	3	i.r.	GPE
aiti-5290	1008	4	1/0.78	CARDINAL
aiti-5290	1008	5	two	CARDINAL
aiti-5290	1008	6	i.r.	GPE
aiti-5290	1009	1	first	ORDINAL
aiti-5290	1009	2	3	CARDINAL
aiti-5290	1009	3	i.r.	GPE
aiti-5290	1011	1	4.2	CARDINAL
aiti-5290	1012	1	section 4.1	LAW
aiti-5290	1012	2	i.r.	GPE
aiti-5290	1013	1	i.r.	GPE
aiti-5290	1015	1	1-10	DATE
aiti-5290	1016	1	eqs	ORG
aiti-5290	1019	1	reynolds	ORG
aiti-5290	1020	1	13	CARDINAL
aiti-5290	1021	1	5	CARDINAL
aiti-5290	1021	2	4, 2020	DATE
aiti-5290	1022	1	270-291 286	QUANTITY
aiti-5290	1023	1	13	CARDINAL
aiti-5290	1023	2	1st	ORDINAL
aiti-5290	1025	1	fig	ORG
aiti-5290	1026	1	13	CARDINAL
aiti-5290	1027	1	7	CARDINAL
aiti-5290	1029	1	7	CARDINAL
aiti-5290	1030	1	one	CARDINAL
aiti-5290	1033	1	0	CARDINAL
aiti-5290	1033	2	10	CARDINAL
aiti-5290	1037	1	12	CARDINAL
aiti-5290	1038	1	1st	ORDINAL
aiti-5290	1039	1	13	CARDINAL
aiti-5290	1041	1	14	CARDINAL
aiti-5290	1041	2	1/0.75	CARDINAL
aiti-5290	1041	3	5	CARDINAL
aiti-5290	1041	4	0.33	CARDINAL
aiti-5290	1043	1	fig	ORG
aiti-5290	1044	1	15	CARDINAL
aiti-5290	1044	2	1/0.75	CARDINAL
aiti-5290	1044	3	5	CARDINAL
aiti-5290	1044	4	0.51	CARDINAL
aiti-5290	1046	1	by1	PERSON
aiti-5290	1047	1	5	CARDINAL
aiti-5290	1047	2	0.33	CARDINAL
aiti-5290	1047	3	5	CARDINAL
aiti-5290	1047	4	0.51	CARDINAL
aiti-5290	1048	1	by1	PERSON
aiti-5290	1050	1	14	CARDINAL
aiti-5290	1050	2	1/0.75	CARDINAL
aiti-5290	1050	3	5	CARDINAL
aiti-5290	1050	4	0.33	CARDINAL
aiti-5290	1051	1	1st	ORDINAL
aiti-5290	1052	1	15	CARDINAL
aiti-5290	1052	2	1/0.75	CARDINAL
aiti-5290	1052	3	5	CARDINAL
aiti-5290	1052	4	0.51	CARDINAL
aiti-5290	1054	1	16-17	CARDINAL
aiti-5290	1054	2	1/0.75	CARDINAL
aiti-5290	1055	1	5	CARDINAL
aiti-5290	1055	2	0.33	CARDINAL
aiti-5290	1055	3	5	CARDINAL
aiti-5290	1055	4	0.51	CARDINAL
aiti-5290	1056	1	by2	ORG
aiti-5290	1056	2	by1	PERSON
aiti-5290	1057	1	two	CARDINAL
aiti-5290	1059	1	3:1	CARDINAL
aiti-5290	1059	2	i.r	GPE
aiti-5290	1061	1	5	CARDINAL
aiti-5290	1061	2	4, 2020	DATE
aiti-5290	1062	1	270-291 287	CARDINAL
aiti-5290	1063	1	16	CARDINAL
aiti-5290	1063	2	1/0.75	CARDINAL
aiti-5290	1063	3	5	CARDINAL
aiti-5290	1063	4	0.33	CARDINAL
aiti-5290	1064	1	2nd	ORDINAL
aiti-5290	1065	1	17	CARDINAL
aiti-5290	1065	2	1/0.75	CARDINAL
aiti-5290	1065	3	5	CARDINAL
aiti-5290	1065	4	0.51	CARDINAL
aiti-5290	1066	1	2nd	ORDINAL
aiti-5290	1066	2	5	CARDINAL
aiti-5290	1070	1	three	CARDINAL
aiti-5290	1070	2	one	CARDINAL
aiti-5290	1070	3	the 1st and the 2nd	DATE
aiti-5290	1072	1	1	CARDINAL
aiti-5290	1072	2	0	CARDINAL
aiti-5290	1072	3	10	CARDINAL
aiti-5290	1073	1	2	CARDINAL
aiti-5290	1074	1	3	CARDINAL
aiti-5290	1074	2	1/0.75	CARDINAL
aiti-5290	1074	3	5	CARDINAL
aiti-5290	1074	4	0.33&0.51	DATE
aiti-5290	1074	5	1:3	CARDINAL
aiti-5290	1074	6	the 1st and 2nd	DATE
aiti-5290	1075	1	4	CARDINAL
aiti-5290	1075	2	less than	CARDINAL
aiti-5290	1075	3	i.r.	GPE
aiti-5290	1076	1	1/0.78	CARDINAL
aiti-5290	1076	2	two	CARDINAL
aiti-5290	1076	3	i.r.	GPE
aiti-5290	1077	1	5	CARDINAL
aiti-5290	1080	1	3d	CARDINAL
aiti-5290	1083	1	the ministry of science and technology of	ORG
aiti-5290	1083	2	taiwan	GPE
aiti-5290	1083	3	republic of china	ORG
aiti-5290	1083	4	108-2218-e-006-021	QUANTITY
aiti-5290	1084	1	5	CARDINAL
aiti-5290	1084	2	4, 2020	DATE
aiti-5290	1085	1	270-291 288	QUANTITY
aiti-5290	1085	2	s6	ORG
aiti-5290	1085	3	2s0	CARDINAL
aiti-5290	1086	1	1st	ORDINAL
aiti-5290	1086	2	1	CARDINAL
aiti-5290	1086	3	1 1 1 1 1 2 1 1 1 1 1 1 2	QUANTITY
aiti-5290	1086	4	2	CARDINAL
aiti-5290	1086	5	2	CARDINAL
aiti-5290	1086	6	2	CARDINAL
aiti-5290	1086	7	2	CARDINAL
aiti-5290	1086	8	3 2	CARDINAL
aiti-5290	1086	9	2	CARDINAL
aiti-5290	1098	1	ω ω	ORG
aiti-5290	1103	1	2	CARDINAL
aiti-5290	1103	2	2	CARDINAL
aiti-5290	1103	3	5	CARDINAL
aiti-5290	1103	4	2	CARDINAL
aiti-5290	1103	5	2	CARDINAL
aiti-5290	1103	6	2	CARDINAL
aiti-5290	1104	1	3	CARDINAL
aiti-5290	1104	2	2	CARDINAL
aiti-5290	1112	1	ω ω	ORG
aiti-5290	1120	1	1 1 1 2 1 2 1 1 1 1 1	QUANTITY
aiti-5290	1120	2	2	CARDINAL
aiti-5290	1120	3	2	CARDINAL
aiti-5290	1120	4	2	CARDINAL
aiti-5290	1120	5	2	CARDINAL
aiti-5290	1120	6	2	CARDINAL
aiti-5290	1120	7	2 2	CARDINAL
aiti-5290	1120	8	2	CARDINAL
aiti-5290	1128	1	ω ω ω ω ω ω	ORG
aiti-5290	1136	1	1 2 2 1 2 1 2 2 1 2 1 1 2 1 2 1 2 2 1	QUANTITY
aiti-5290	1136	2	17	CARDINAL
aiti-5290	1136	3	2	CARDINAL
aiti-5290	1136	4	2	CARDINAL
aiti-5290	1137	1	2	CARDINAL
aiti-5290	1150	1	2 1 1	DATE
aiti-5290	1150	2	2	CARDINAL
aiti-5290	1150	3	2	CARDINAL
aiti-5290	1150	4	2	CARDINAL
aiti-5290	1150	5	2	CARDINAL
aiti-5290	1150	6	2	CARDINAL
aiti-5290	1158	1	ω ω ω ω ω ω ω	ORG
aiti-5290	1170	1	2 1	DATE
aiti-5290	1170	2	19 1)z	CARDINAL
aiti-5290	1171	1	s6	GPE
aiti-5290	1171	2	3s0	CARDINAL
aiti-5290	1172	1	2 2	CARDINAL
aiti-5290	1172	2	2	CARDINAL
aiti-5290	1172	3	2	CARDINAL
aiti-5290	1172	4	2 3	DATE
aiti-5290	1172	5	2	CARDINAL
aiti-5290	1184	1	ω ω	ORG
aiti-5290	1189	1	2	CARDINAL
aiti-5290	1189	2	2	CARDINAL
aiti-5290	1189	3	32	CARDINAL
aiti-5290	1189	4	2	CARDINAL
aiti-5290	1189	5	2	CARDINAL
aiti-5290	1190	1	2 3	CARDINAL
aiti-5290	1190	2	2	CARDINAL
aiti-5290	1198	1	ω ω ω ω	ORG
aiti-5290	1202	1	2 1 1	DATE
aiti-5290	1202	2	2	CARDINAL
aiti-5290	1202	3	2	CARDINAL
aiti-5290	1202	4	2	CARDINAL
aiti-5290	1202	5	2	CARDINAL
aiti-5290	1202	6	2	CARDINAL
aiti-5290	1214	1	ω ω ω ω	ORG
aiti-5290	1221	1	1	CARDINAL
aiti-5290	1221	2	22 2	CARDINAL
aiti-5290	1221	3	2	CARDINAL
aiti-5290	1221	4	2	CARDINAL
aiti-5290	1221	5	24 1 1 1 21	TIME
aiti-5290	1221	6	1	CARDINAL
aiti-5290	1221	7	2	CARDINAL
aiti-5290	1221	8	2	CARDINAL
aiti-5290	1221	9	2	CARDINAL
aiti-5290	1221	10	2	CARDINAL
aiti-5290	1221	11	2	CARDINAL
aiti-5290	1231	1	ω ω ω ω	ORG
aiti-5290	1243	1	s6	ORG
aiti-5290	1243	2	2s0	CARDINAL
aiti-5290	1243	3	1 1 1 1 1 2 1 1 1 1 1 21	QUANTITY
aiti-5290	1243	4	2	CARDINAL
aiti-5290	1243	5	2	CARDINAL
aiti-5290	1243	6	2	CARDINAL
aiti-5290	1243	7	2	CARDINAL
aiti-5290	1243	8	3 2	CARDINAL
aiti-5290	1243	9	2	CARDINAL
aiti-5290	1273	1	2	CARDINAL
aiti-5290	1273	2	2	CARDINAL
aiti-5290	1273	3	5	CARDINAL
aiti-5290	1273	4	2	CARDINAL
aiti-5290	1273	5	2	CARDINAL
aiti-5290	1273	6	2	CARDINAL
aiti-5290	1273	7	2	CARDINAL
aiti-5290	1274	1	3	CARDINAL
aiti-5290	1274	2	2	CARDINAL
aiti-5290	1283	1	ω ω	ORG
aiti-5290	1291	1	1 1 1 2 1 2 1 1 1 11	QUANTITY
aiti-5290	1291	2	2	CARDINAL
aiti-5290	1291	3	2	CARDINAL
aiti-5290	1291	4	2	CARDINAL
aiti-5290	1291	5	2	CARDINAL
aiti-5290	1291	6	2	CARDINAL
aiti-5290	1291	7	2 2	CARDINAL
aiti-5290	1291	8	2	CARDINAL
aiti-5290	1311	1	1 2 2 1 2 1 2 2 1 2 1 1 2 1 2 1 2 2 1	QUANTITY
aiti-5290	1311	2	2	CARDINAL
aiti-5290	1311	3	2	CARDINAL
aiti-5290	1311	4	2	CARDINAL
aiti-5290	1311	5	2 1 2 2 1 2	QUANTITY
aiti-5290	1312	1	2	CARDINAL
aiti-5290	1327	1	2 1	DATE
aiti-5290	1327	2	2	CARDINAL
aiti-5290	1327	3	2	CARDINAL
aiti-5290	1327	4	2	CARDINAL
aiti-5290	1327	5	2	CARDINAL
aiti-5290	1328	1	2	CARDINAL
aiti-5290	1328	2	2	CARDINAL
aiti-5290	1332	1	ω ω ω ω ω ω ω	ORG
aiti-5290	1342	1	1 2 1	QUANTITY
aiti-5290	1342	2	19 1)y	CARDINAL
aiti-5290	1343	1	s6	GPE
aiti-5290	1343	2	3s0	CARDINAL
aiti-5290	1344	1	5	CARDINAL
aiti-5290	1344	2	4, 2020	DATE
aiti-5290	1345	1	270-291	QUANTITY
aiti-5290	1346	1	2	CARDINAL
aiti-5290	1346	2	2	CARDINAL
aiti-5290	1346	3	2 3	DATE
aiti-5290	1346	4	2	CARDINAL
aiti-5290	1363	1	ω ω	ORG
aiti-5290	1363	2	ω 2	DATE
aiti-5290	1364	1	2	CARDINAL
aiti-5290	1364	2	32	CARDINAL
aiti-5290	1364	3	2	CARDINAL
aiti-5290	1364	4	2	CARDINAL
aiti-5290	1365	1	2 3	CARDINAL
aiti-5290	1378	1	ω ω ω ω ω	ORG
aiti-5290	1378	2	2	CARDINAL
aiti-5290	1378	3	2	CARDINAL
aiti-5290	1378	4	2	CARDINAL
aiti-5290	1378	5	2	CARDINAL
aiti-5290	1378	6	2	CARDINAL
aiti-5290	1394	1	22	DATE
aiti-5290	1394	2	2	CARDINAL
aiti-5290	1394	3	2	CARDINAL
aiti-5290	1394	4	2	CARDINAL
aiti-5290	1394	5	24 1 1 1 21	TIME
aiti-5290	1394	6	1	CARDINAL
aiti-5290	1394	7	2	CARDINAL
aiti-5290	1394	8	2	CARDINAL
aiti-5290	1394	9	2	CARDINAL
aiti-5290	1394	10	2	CARDINAL
aiti-5290	1394	11	2	CARDINAL
aiti-5290	1409	1	1 2	CARDINAL
aiti-5290	1409	2	2 1	DATE
aiti-5290	1409	3	1	CARDINAL
aiti-5290	1409	4	1	CARDINAL
aiti-5290	1409	5	2	CARDINAL
aiti-5290	1409	6	dx m ϕ ϕ	ORG
aiti-5290	1409	7	1 3	CARDINAL
aiti-5290	1410	1	′′	ORG
aiti-5290	1410	2	1	CARDINAL
aiti-5290	1411	1	′′	ORG
aiti-5290	1412	1	′′	ORG
aiti-5290	1413	1	′′	ORG
aiti-5290	1414	1	′ ′	DATE
aiti-5290	1416	1	1	CARDINAL
aiti-5290	1418	1	′′	ORG
aiti-5290	1419	1	′′	ORG
aiti-5290	1420	1	′′	ORG
aiti-5290	1421	1	′ ′	DATE
aiti-5290	1424	1	′′	ORG
aiti-5290	1425	1	′ ′	DATE
aiti-5290	1426	1	′′	ORG
aiti-5290	1426	2	′′ ′	ORG
aiti-5290	1429	1	1	CARDINAL
aiti-5290	1429	2	3	CARDINAL
aiti-5290	1429	3	′′	ORG
aiti-5290	1429	4	′′ ′	ORG
aiti-5290	1434	1	1 2	CARDINAL
aiti-5290	1434	2	3	CARDINAL
aiti-5290	1435	1	′′	ORG
aiti-5290	1435	2	′′ ′	ORG
aiti-5290	1438	1	1 2	CARDINAL
aiti-5290	1439	1	′′	ORG
aiti-5290	1439	2	′′ ′	ORG
aiti-5290	1442	1	′′	ORG
aiti-5290	1443	1	1 3	CARDINAL
aiti-5290	1444	1	′′	ORG
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