id	sid	eid	entity	type
alkej-494	1	1	4d6963726f736f667420576f7264202d2032332d3332e3cde3cf20c8d4edd120e6e6cfc7cf	CARDINAL
alkej-494	1	2	al-khwarizmi	ORG
alkej-494	1	3	al-khwarizmi engineering journal	ORG
alkej-494	1	4	15	CARDINAL
alkej-494	1	5	4, december	DATE
alkej-494	1	6	2019	DATE
alkej-494	2	1	2332	CARDINAL
alkej-494	3	1	mohammed b. hammed* widad	PERSON
alkej-494	3	2	i. majeed**	PERSON
alkej-494	4	1	21	CARDINAL
alkej-494	4	2	3	CARDINAL
alkej-494	5	1	ritz	ORG
alkej-494	7	1	about 35	CARDINAL
alkej-494	7	2	40%	PERCENT
alkej-494	9	1	ritz	ORG
alkej-494	10	1	1	CARDINAL
alkej-494	11	1	55	CARDINAL
alkej-494	11	2	one	CARDINAL
alkej-494	11	3	rayleigh-ritz	ORG
alkej-494	11	4	rayleigh-ritz	ORG
alkej-494	12	1	1	CARDINAL
alkej-494	15	1	9	CARDINAL
alkej-494	16	1	first	ORDINAL
alkej-494	16	2	mohammed b. hammed al-khwarizmi	PERSON
alkej-494	16	3	15	CARDINAL
alkej-494	16	4	4	CARDINAL
alkej-494	16	5	2332	CARDINAL
alkej-494	16	6	2019	CARDINAL
alkej-494	16	7	24	CARDINAL
alkej-494	18	1	3	CARDINAL
alkej-494	22	1	15	CARDINAL
alkej-494	24	1	first	ORDINAL
alkej-494	24	2	clt	ORG
alkej-494	25	1	5	CARDINAL
alkej-494	26	1	first	ORDINAL
alkej-494	29	1	10	CARDINAL
alkej-494	30	1	lagrange	GPE
alkej-494	30	2	third	ORDINAL
alkej-494	32	1	ritz	ORG
alkej-494	32	2	15	CARDINAL
alkej-494	32	3	first	ORDINAL
alkej-494	33	1	2	CARDINAL
alkej-494	33	2	2.1	CARDINAL
alkej-494	33	3	4	CARDINAL
alkej-494	34	1	2d	DATE
alkej-494	35	1	w∂x	PERSON
alkej-494	35	2	+ 2n	DATE
alkej-494	37	1	2.2	CARDINAL
alkej-494	37	2	1	CARDINAL
alkej-494	38	1	23	CARDINAL
alkej-494	38	2	23	CARDINAL
alkej-494	39	1	4 56	CARDINAL
alkej-494	39	2	4	CARDINAL
alkej-494	39	3	7	CARDINAL
alkej-494	39	4	2.3	CARDINAL
alkej-494	39	5	7	CARDINAL
alkej-494	39	6	two	CARDINAL
alkej-494	41	1	mohammed b. hammed al-khwarizmi	PERSON
alkej-494	41	2	15	CARDINAL
alkej-494	41	3	4	CARDINAL
alkej-494	41	4	2332	CARDINAL
alkej-494	41	5	2019	CARDINAL
alkej-494	41	6	25 2.2	CARDINAL
alkej-494	41	7	11	CARDINAL
alkej-494	42	1	ec	ORG
alkej-494	43	1	14	CARDINAL
alkej-494	43	2	12	CARDINAL
alkej-494	45	1	+ l mn 1nq	DATE
alkej-494	45	2	1nonqp + 2 ml� n 1no n 1nq pt	QUANTITY
alkej-494	45	3	9o	CARDINAL
alkej-494	47	1	u@v	CARDINAL
alkej-494	47	2	1 +	DATE
alkej-494	48	1	u@v	CARDINAL
alkej-494	48	2	1 +	DATE
alkej-494	49	1	9or	CARDINAL
alkej-494	51	1	9o	CARDINAL
alkej-494	51	2	12	CARDINAL
alkej-494	56	1	n 1nonqpz	ORG
alkej-494	56	2	2.5	CARDINAL
alkej-494	56	3	12	CARDINAL
alkej-494	56	4	2313	CARDINAL
alkej-494	56	5	2.7 2.3	CARDINAL
alkej-494	56	6	4	CARDINAL
alkej-494	57	1	2.8	CARDINAL
alkej-494	57	2	2.9 cv	QUANTITY
alkej-494	57	3	−2l	ORG
alkej-494	57	4	2.10 fv	QUANTITY
alkej-494	57	5	2.12	CARDINAL
alkej-494	60	1	2.13	CARDINAL
alkej-494	62	1	2.14	CARDINAL
alkej-494	62	2	1	CARDINAL
alkej-494	64	1	1	CARDINAL
alkej-494	64	2	15	CARDINAL
alkej-494	65	1	the transitional spring	DATE
alkej-494	67	1	0	CARDINAL
alkej-494	68	1	eqs	ORG
alkej-494	69	1	13	CARDINAL
alkej-494	69	2	16	CARDINAL
alkej-494	69	3	the spring	DATE
alkej-494	69	4	zero	CARDINAL
alkej-494	69	5	the spring	DATE
alkej-494	69	6	the spring	DATE
alkej-494	69	7	larger than zero	CARDINAL
alkej-494	69	8	1	CARDINAL
alkej-494	70	1	8)-(16	CARDINAL
alkej-494	70	2	2.17	CARDINAL
alkej-494	71	1	2.19	CARDINAL
alkej-494	71	2	2.20	CARDINAL
alkej-494	71	3	mohammed b. hammed al-khwarizmi	PERSON
alkej-494	71	4	15	CARDINAL
alkej-494	71	5	4	CARDINAL
alkej-494	71	6	2332	CARDINAL
alkej-494	71	7	2019	CARDINAL
alkej-494	71	8	26 2.4	PERCENT
alkej-494	71	9	the rayleigh-ritz	ORG
alkej-494	73	1	15	CARDINAL
alkej-494	73	2	∑ klmnl	PERSON
alkej-494	73	3	2.21	CARDINAL
alkej-494	73	4	nl	ORG
alkej-494	77	1	19	CARDINAL
alkej-494	78	1	1	CARDINAL
alkej-494	78	2	o	DATE
alkej-494	78	3	vsrl	PERSON
alkej-494	79	1	0 ≤	MONEY
alkej-494	79	2	p(x	PERSON
alkej-494	80	1	9	CARDINAL
alkej-494	80	2	2.23	CARDINAL
alkej-494	80	3	2.24	CARDINAL
alkej-494	80	4	2.25	CARDINAL
alkej-494	80	5	2.26	CARDINAL
alkej-494	80	6	2.23)-(2.26	CARDINAL
alkej-494	80	7	p(x	PERSON
alkej-494	81	1	p(x	PERSON
alkej-494	82	1	p(x	PERSON
alkej-494	82	2	2.27	CARDINAL
alkej-494	82	3	p(x	PERSON
alkej-494	82	4	2.28	CARDINAL
alkej-494	83	1	2.29	CARDINAL
alkej-494	84	1	7r	CARDINAL
alkej-494	84	2	2.30	CARDINAL
alkej-494	85	1	2.28)-(2.30	CARDINAL
alkej-494	85	2	15	CARDINAL
alkej-494	87	1	2.22	CARDINAL
alkej-494	87	2	2.28	CARDINAL
alkej-494	88	1	2.31	CARDINAL
alkej-494	88	2	+ 8@v	DATE
alkej-494	88	3	7@v	CARDINAL
alkej-494	88	4	j3	DATE
alkej-494	88	5	1 + 8@v	DATE
alkej-494	88	6	j6 j3 −@v�j3l�	PERSON
alkej-494	88	7	j6−@v�j6−1j wv	PERSON
alkej-494	88	8	2.32	CARDINAL
alkej-494	88	9	frl	ORG
alkej-494	88	10	−1	CARDINAL
alkej-494	88	11	− srl	PERSON
alkej-494	88	12	−1 lsrl ¥	MONEY
alkej-494	88	13	2.33	CARDINAL
alkej-494	90	1	19	CARDINAL
alkej-494	92	1	rayleigh-ritz	ORG
alkej-494	93	1	eqs	ORG
alkej-494	94	1	2.28	CARDINAL
alkej-494	94	2	2.31	CARDINAL
alkej-494	95	1	2.22	CARDINAL
alkej-494	95	2	1	CARDINAL
alkej-494	95	3	¦lr �	PERSON
alkej-494	95	4	o	DATE
alkej-494	95	5	¦lr �	PERSON
alkej-494	96	1	2.34	CARDINAL
alkej-494	96	2	¦lr �	PERSON
alkej-494	96	3	0	CARDINAL
alkej-494	98	1	2.21	CARDINAL
alkej-494	98	2	mohammed b. hammed	PERSON
alkej-494	98	3	al-khwarizmi engineering journal	ORG
alkej-494	98	4	15	CARDINAL
alkej-494	98	5	4	CARDINAL
alkej-494	98	6	2332	CARDINAL
alkej-494	98	7	2019	CARDINAL
alkej-494	98	8	27 1	CARDINAL
alkej-494	98	9	¦lr �	PERSON
alkej-494	98	10	2.36	CARDINAL
alkej-494	98	11	¦	PERSON
alkej-494	98	12	fsm	ORG
alkej-494	98	13	2.37	CARDINAL
alkej-494	98	14	fsm	ORG
alkej-494	98	15	eqs	ORG
alkej-494	99	1	2.30	CARDINAL
alkej-494	99	2	2.32	CARDINAL
alkej-494	99	3	2.33	CARDINAL
alkej-494	100	1	2.5	CARDINAL
alkej-494	100	2	eqs	CARDINAL
alkej-494	100	3	2.5	CARDINAL
alkej-494	100	4	2.7	CARDINAL
alkej-494	101	1	2.4	CARDINAL
alkej-494	101	2	12	CARDINAL
alkej-494	103	1	+ l mn 1nq	DATE
alkej-494	103	2	+ 2 ml� n	QUANTITY
alkej-494	103	3	1no	ORDINAL
alkej-494	103	4	9o	CARDINAL
alkej-494	105	1	u@v	CARDINAL
alkej-494	105	2	1 +	DATE
alkej-494	106	1	u@v	CARDINAL
alkej-494	106	2	1 +	DATE
alkej-494	107	1	9or	CARDINAL
alkej-494	109	1	9o	CARDINAL
alkej-494	109	2	12	CARDINAL
alkej-494	113	1	9o	CARDINAL
alkej-494	113	2	9qr	ORDINAL
alkej-494	113	3	12	CARDINAL
alkej-494	113	4	231	CARDINAL
alkej-494	113	5	2.38	CARDINAL
alkej-494	113	6	13	CARDINAL
alkej-494	113	7	2.4	CARDINAL
alkej-494	114	1	\v	ORG
alkej-494	116	1	2.38	CARDINAL
alkej-494	116	2	ritz	ORG
alkej-494	118	1	2.39	CARDINAL
alkej-494	120	1	®ªwj¯	ORG
alkej-494	120	2	2.40	CARDINAL
alkej-494	121	1	2.40	CARDINAL
alkej-494	121	2	k j�‚� ⋯ j	PERSON
alkej-494	121	3	j·¸	ORG
alkej-494	121	4	nonzero	ORG
alkej-494	121	5	klm	ORG
alkej-494	122	1	first	ORDINAL
alkej-494	123	1	2.41	CARDINAL
alkej-494	123	2	zero	CARDINAL
alkej-494	123	3	more than 1	CARDINAL
alkej-494	123	4	eigen	ORG
alkej-494	126	1	3	CARDINAL
alkej-494	126	2	r2017b	GPE
alkej-494	126	3	ansys	PERSON
alkej-494	131	1	two	CARDINAL
alkej-494	131	2	1	CARDINAL
alkej-494	131	3	1	CARDINAL
alkej-494	133	1	mohammed b.	PERSON
alkej-494	133	2	al-khwarizmi engineering journal	ORG
alkej-494	133	3	15	CARDINAL
alkej-494	133	4	4	CARDINAL
alkej-494	133	5	2332	CARDINAL
alkej-494	133	6	2019	CARDINAL
alkej-494	133	7	28	CARDINAL
alkej-494	133	8	1	CARDINAL
alkej-494	134	1	0 90	CARDINAL
alkej-494	134	2	17	CARDINAL
alkej-494	134	3	clt	ORG
alkej-494	134	4	first	ORDINAL
alkej-494	134	5	2	CARDINAL
alkej-494	135	1	600	CARDINAL
alkej-494	136	1	five	CARDINAL
alkej-494	138	1	17	CARDINAL
alkej-494	139	1	2	CARDINAL
alkej-494	140	1	3	CARDINAL
alkej-494	140	2	ansys	PERSON
alkej-494	141	1	two	CARDINAL
alkej-494	141	2	four	CARDINAL
alkej-494	144	1	5	CARDINAL
alkej-494	144	2	ansys	PERSON
alkej-494	145	1	2	CARDINAL
alkej-494	145	2	first	ORDINAL
alkej-494	145	3	four	CARDINAL
alkej-494	145	4	cfff symmetric cross	ORG
alkej-494	145	5	3	CARDINAL
alkej-494	145	6	40*e2	CARDINAL
alkej-494	145	7	0.25 1.14	CARDINAL
alkej-494	145	8	10	CARDINAL
alkej-494	145	9	11.4	CARDINAL
alkej-494	145	10	10-6/0k	CARDINAL
alkej-494	146	1	1	CARDINAL
alkej-494	148	1	5.5534 16.2855	MONEY
alkej-494	148	2	132gpa 10.3gpa	DATE
alkej-494	148	3	3.91gpa	MONEY
alkej-494	148	4	0.3 1.2	CARDINAL
alkej-494	148	5	106/0c 2.4	DATE
alkej-494	148	6	106/0c 1570 kg/m3	QUANTITY
alkej-494	148	7	82.46	CARDINAL
alkej-494	148	8	123.6	CARDINAL
alkej-494	148	9	201.65	MONEY
alkej-494	148	10	66.1	CARDINAL
alkej-494	148	11	17	CARDINAL
alkej-494	148	12	19.84	CARDINAL
alkej-494	148	13	mohammed b. hammed al-khwarizmi	PERSON
alkej-494	148	14	15	CARDINAL
alkej-494	148	15	4	CARDINAL
alkej-494	148	16	2332	CARDINAL
alkej-494	148	17	2019	CARDINAL
alkej-494	148	18	29	CARDINAL
alkej-494	148	19	3	CARDINAL
alkej-494	152	1	‚ �æ	PERSON
alkej-494	155	1	4	CARDINAL
alkej-494	156	1	30/-30]4	CARDINAL
alkej-494	158	1	‚ �æ	PERSON
alkej-494	160	1	5	CARDINAL
alkej-494	162	1	‚ �æ	PERSON
alkej-494	165	1	cccc	GPE
alkej-494	165	2	cccf sssf sfsf	ORG
alkej-494	165	3	0	CARDINAL
alkej-494	165	4	26.4	CARDINAL
alkej-494	165	5	ansys	ORG
alkej-494	165	6	25.63	CARDINAL
alkej-494	165	7	3 0.83 3	CARDINAL
alkej-494	165	8	2.84	CARDINAL
alkej-494	165	9	6.6 0.25	CARDINAL
alkej-494	165	10	22.86	CARDINAL
alkej-494	165	11	21.33	CARDINAL
alkej-494	165	12	22.06	CARDINAL
alkej-494	165	13	20.5	CARDINAL
alkej-494	165	14	3.5	CARDINAL
alkej-494	165	15	6 0.5	CARDINAL
alkej-494	165	16	11	CARDINAL
alkej-494	165	17	ansys	ORG
alkej-494	165	18	17.68	CARDINAL
alkej-494	165	19	17	CARDINAL
alkej-494	165	20	5.0845 2.37 6.24	QUANTITY
alkej-494	165	21	5.3 5.882	DATE
alkej-494	165	22	13.2 7.76	CARDINAL
alkej-494	165	23	6.02 3.44	CARDINAL
alkej-494	165	24	4.6415	MONEY
alkej-494	165	25	11.4344	CARDINAL
alkej-494	165	26	6.86 12.35 7.7455 4.1642	MONEY
alkej-494	165	27	12 11.6 10	DATE
alkej-494	165	28	17.4 26.25	MONEY
alkej-494	166	1	cccc	GPE
alkej-494	166	2	cccf sssf sfsf	ORG
alkej-494	166	3	0	CARDINAL
alkej-494	166	4	27	CARDINAL
alkej-494	166	5	ansys	ORG
alkej-494	166	6	26.673	CARDINAL
alkej-494	166	7	24.67	MONEY
alkej-494	166	8	5.28 4.8 10.544	MONEY
alkej-494	166	9	1.2	CARDINAL
alkej-494	166	10	4.1455 0.25	CARDINAL
alkej-494	166	11	23.563	CARDINAL
alkej-494	166	12	4.67 10.07	QUANTITY
alkej-494	166	13	ansys	ORG
alkej-494	166	14	10.75	CARDINAL
alkej-494	166	15	0.812 1.186 3.7 0.65	QUANTITY
alkej-494	166	16	0.7 0.5	CARDINAL
alkej-494	166	17	19.55	CARDINAL
alkej-494	166	18	8.48 ansys	PERSON
alkej-494	166	19	8.757 21.88	MONEY
alkej-494	166	20	3.94	CARDINAL
alkej-494	166	21	6.36 0.75	CARDINAL
alkej-494	166	22	14.46	CARDINAL
alkej-494	166	23	6.15 20.34 8.2 2.61	QUANTITY
alkej-494	166	24	7.97	MONEY
alkej-494	166	25	12.5	CARDINAL
alkej-494	166	26	2.14	CARDINAL
alkej-494	166	27	24.7	CARDINAL
alkej-494	166	28	5	CARDINAL
alkej-494	166	29	0.5	CARDINAL
alkej-494	166	30	28.27 34.72 ansys	QUANTITY
alkej-494	166	31	18.77	CARDINAL
alkej-494	166	32	5.43	CARDINAL
alkej-494	166	33	1 5.88	CARDINAL
alkej-494	166	34	7.4	CARDINAL
alkej-494	166	35	6 7.5 8.74	CARDINAL
alkej-494	166	36	2	CARDINAL
alkej-494	166	37	1.5	CARDINAL
alkej-494	166	38	3.84	CARDINAL
alkej-494	166	39	4.553 5.1	CARDINAL
alkej-494	166	40	mohammed b. hammed al-khwarizmi	PERSON
alkej-494	166	41	15	CARDINAL
alkej-494	166	42	4	CARDINAL
alkej-494	166	43	2332	CARDINAL
alkej-494	166	44	2019	DATE
alkej-494	166	45	30	CARDINAL
alkej-494	167	1	2	CARDINAL
alkej-494	168	1	4.	CARDINAL
alkej-494	168	2	ritz	ORG
alkej-494	168	3	first	ORDINAL
alkej-494	172	1	ssss	NORP
alkej-494	174	1	5	CARDINAL
alkej-494	174	2	1	CARDINAL
alkej-494	174	3	lal	PERSON
alkej-494	174	4	b. n. singh	PERSON
alkej-494	174	5	23	CARDINAL
alkej-494	174	6	january 2010	DATE
alkej-494	175	1	2	CARDINAL
alkej-494	175	2	amin ghorbani	PERSON
alkej-494	176	1	16)32874	CARDINAL
alkej-494	177	1	3	CARDINAL
alkej-494	177	2	chun-sheng chen	PERSON
alkej-494	177	3	chih-wen chen	PERSON
alkej-494	177	4	wei-ren chen	PERSON
alkej-494	177	5	yi-chen chang	PERSON
alkej-494	178	1	mohammed b.	PERSON
alkej-494	178	2	al-khwarizmi engineering journal	ORG
alkej-494	178	3	15	CARDINAL
alkej-494	178	4	4	CARDINAL
alkej-494	178	5	2332	CARDINAL
alkej-494	178	6	2019	CARDINAL
alkej-494	178	7	31	CARDINAL
alkej-494	178	8	meccanica	PERSON
alkej-494	179	1	4	CARDINAL
alkej-494	179	2	henry khov	PERSON
alkej-494	179	3	wen l. li	PERSON
alkej-494	179	4	ronald f. gibson	PERSON
alkej-494	179	5	90	CARDINAL
alkej-494	179	6	474–481	CARDINAL
alkej-494	179	7	2009	DATE
alkej-494	180	1	5	CARDINAL
alkej-494	180	2	hossein amoushahi	PERSON
alkej-494	180	3	farshad goodarzian	PERSON
alkej-494	181	1	131	CARDINAL
alkej-494	181	2	2018	DATE
alkej-494	181	3	88–101	DATE
alkej-494	182	1	6	CARDINAL
alkej-494	182	2	reddy	PERSON
alkej-494	182	3	crc press llc, 2004	ORG
alkej-494	183	1	7	CARDINAL
alkej-494	183	2	ibtehal abbas sadiq	PERSON
alkej-494	183	3	kani hussein bawa	PERSON
alkej-494	185	1	alkhwarizmi engineering journal	PERSON
alkej-494	185	2	14	CARDINAL
alkej-494	185	3	no.4	GPE
alkej-494	185	4	december	DATE
alkej-494	185	5	2018	DATE
alkej-494	186	1	8	CARDINAL
alkej-494	186	2	wael r. abdul-majeed	PERSON
alkej-494	188	1	alkhwarizmi engineering journal	ORG
alkej-494	188	2	8	CARDINAL
alkej-494	188	3	2	CARDINAL
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alkej-494	207	1	768-781	CARDINAL
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alkej-494	208	1	الهندسية	GPE
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alkej-494	217	1	، وزوايا	GPE
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