Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
(\begin{matrix}y_{1}^{\prime}\\ y_{2}^{\prime}\end{matrix})=\frac{1}{x_{3}^{\prime}}(\begin{matrix}x_{1}^{\prime}\\ x_{2}^{\prime}\end{matrix})	d8b3a6e05fb94d04	train	human
\hat{c}_{p}	1e956e238c3e5b20	train	human
\frac{1}{h^{2}}	c544452c34efe2fa	train	human
(\frac{4}{7}-9)^{204\cdot\sqrt{5}}	75e01f2e3266c749	train	human
\frac{\partial C}{\partial\sigma}	1cbc2ddec0b1a27d	train	human
R=[\begin{matrix}R_{1}\\ 0\end{matrix}]	a5e72c63ea48cc71	train	human
\prod_{i\in I}U_{i}	b17bb0c2e11488e2	train	human
\frac{\partial D}{\partial G}<0	d51fee3b10eb50f8	train	human
\sqrt{a}+\sqrt{b}=d-\sqrt{c}	5fa9a29d3fbca353	train	human
\frac{\pi^{2}}{16}\cong0.61685	ef009b530dc63cf6	train	human
log_{b}(x)=\frac{log(x)}{log(b)}	0bdb2d14efde5194	train	human
\frac{9}{112}\cdot(\frac{27}{392})^{218}	c8b1bfb49962d4ba	train	human
\emptyset\in C\Rightarrow g(\emptyset)=0	cd5e388dd05bf1cb	train	human
r=\frac{\alpha\Delta t}{\Delta x^{2}}	c32167b333568159	train	human
K(\sqrt{1-k^{2}})	21cf6f569807b0a4	train	human
\frac{2^{5}}{\frac{1^{3}}{375}}	dc47b784025d0ca4	train	human
=\prod_{k=1}^{n}[k]_{q}	332d79ce2e36be1f	train	human
(\frac{15}{14}\div\frac{16}{15}=\frac{225}{224})	618270a8c9b920ef	train	human
f(g(x))=\sum_{n=0}^{\infty}c_{n}x^{n}	aee3aeb8bd0e540d	train	human
N\backslash S\notin W	e9f8c4a82d2b82b8	train	human
\frac{dk}{dt}	7b488a5d5c9faff8	train	human
,r	baf32bc63e705acf	train	human
\langle\cdot,\cdot\rangle_{H^{2}(\Omega)}	11e9caaef94ba876	train	human
\sum_{n=1}^{\infty}\frac{H_{n}^{2}}{n^{2}}=\frac{17}{360}\pi^{4}	77086abe0b6dd4cd	train	human
(\begin{matrix}7\\ 3\end{matrix})=35	dc56b82efaa854bc	train	human
somb(\rho)=\frac{2J_{1}(\pi\rho)}{\pi\rho}	96b5c60b184a85d8	train	human
\int_{\Omega}fw=0	6a7f4fd0d0268c3e	train	human
\int_{0}^{T}g(t)dt	8671e713fa10219f	train	human
u_{*}=\sqrt{\frac{\tau_{w}}{\rho}}	59e2d63b96a6ddf3	train	human
\frac{dy}{dx}=x+y	2a616577ba225ee0	train	human
\frac{\partial u_{i}}{\partial p_{j}}	f14e9d2a484fc8b7	train	human
\tau_{ax}=(\frac{1}{k_{B}T})\frac{F_{eq}}{2}	2e4ae906ef3a3d43	train	human
(\begin{matrix}A&B\\ C&D\end{matrix})	b912a972b3063a45	train	human
\frac{34^{4}}{(4\cdot7)}	e1af0cfcd29d3419	train	human
n!=\prod_{i=1}^{n}i	572ce346fe23c848	train	human
\lfloor\sqrt{\varphi(r)}log_{2}(n)\rfloor	d0729fc9c1f02aab	train	human
u:=\int_{a}^{b}v(t)dt	b5662887c38dabd8	train	human
7^{7^{\cdot^{\cdot^{\cdot^{u}}}}}	5035fec1974fbb7b	train	human
\Delta u(x_{1},x_{2})=0	3cb200c3e454d5d3	train	human
\tilde{D}_{n}	aa70ddf782608fc8	train	human
\frac{\partial M}{\partial\alpha}	f2b4ed18f9c959ea	train	human
\sqrt{gh_{0}}	9a3c2d12d80b23b1	train	human
\frac{\alpha+n}{\beta+n\overline{x}}	cc38a0510e5ce78d	train	human
A_{\mu}=\frac{Q}{R}k_{\mu}	f7dbab63dc449323	train	human
\frac{sin(\pi x)}{(x^{2}-4)^{2}}	92918a2134d58c20	train	human
70^{70^{70^{70^{...}}}}	42728510706121d2	train	human
A\le\tilde{A}	c0610b0d85b08de6	train	human
-\delta	88c1bd1b0a298689	train	human
\underline{AB}	774fcf9ff8224348	train	human
BA=(\begin{matrix}1&0\\ 0&0\end{matrix})	666d3cbaed0428fa	train	human
k_{7}^{i}	db42c5ae9470fd5d	train	human
[\begin{matrix}0&1\\ 0&0\end{matrix}]	1d8975d343ae0f68	train	human
x^{2}+y^{2}=(-r)^{2}	949a319d829efe66	train	human
\frac{\frac{9}{60}}{(303\cdot246)/10}	ccf2a04d0673060a	train	human
\tilde{W}	ebdb9bdcf86d823d	train	human
\frac{1-cos\alpha}{1+cos\alpha}	730f5da0ad3e191a	train	human
2\sqrt{5}\approx4.47>4	c0774a041b7308f6	train	human
2^{2^{2^{2^{43}}}}	7dffee7f5c728166	train	human
F[y]=\int_{a}^{t}\|y^{\prime}\|dt	9b7668f6635cfc8a	train	human
\int_{a}^{b}f(x)dg(x)	a139e19179a423f6	train	human
((\infty),[c,d])\notin I	815b417aeefcc625	train	human
(\begin{matrix}5\\ 0\end{matrix})	bcf3d61f1ea337af	train	human
\sqrt{7+2\sqrt{10}}	a3d972924e101449	train	human
m=\frac{\nu+1}{2}	1cf2a88efda88960	train	human
v_{\perp}=r\frac{d\phi}{dt}=r\omega	ab92fa5818f1a34a	train	human
\frac{8^{43}}{\frac{6}{165}}	8493c36ae02adf45	train	human
-2\int Edl	4ff3159d853bc5f9	train	human
=-\frac{1}{2}\int_{0}^{T}\frac{1}{T^{2}}dt	e830aaf8ed76e758	train	human
E=-\frac{k_{e}e^{2}}{2a_{0}}\frac{1}{n^{2}}	0df2eda3e3da0da4	train	human
\frac{dt}{dU}=0	3f4820916843f1b8	train	human
\frac{{5^{438}}^{164}}{\frac{\frac{386}{493}}{370}}	2bab910bc87d5eb8	train	human
(402+91)^{\frac{(25+3)}{2}}	c7ef0f22fd0b10d9	train	human
q=[\begin{matrix}u\\ d\end{matrix}]	0c0428df5732e3ab	train	human
Var[\frac{1}{X}]=\frac{1}{\mu\lambda}+\frac{2}{\lambda^{2}}	493f83b4bdd6f9f3	train	human
\frac{TWG}{2}-PB	6f1e8bd4e63845b4	train	human
D_{i}(g_{t})=\frac{d}{dt}g_{t}	196574c726559ffd	train	human
\sigma_{z}^{2}=z^{T}Vz	26d1753d86284c99	train	human
\int_{0}^{5}xdx	88e08012dcfcca2f	train	human
\frac{d}{dt}N_{2}	9750141e4a03832c	train	human
(\begin{matrix}p\\ i\end{matrix})	909c08731a4ef170	train	human
(\begin{matrix}2\\ 0\\ 19\end{matrix})	65792fb4dd776cee	train	human
A:x\mapsto2\sqrt{x}	4d93550c3c3cf5f7	train	human
\prod_{i=1}^{r}(n-i+1)	b48a63fb264ec44d	train	human
L(\chi_{2},s)=\beta(s)	64b2fedef45a0f1f	train	human
\frac{\partial E_{A}}{\partial\theta}=0	c637fa99d0239be6	train	human
\underline{P}X=\emptyset	9290218e8e2b7314	train	human
\frac{s}{\sqrt{\frac{v^{7}}{c^{7}}-1}}	8cec43eecf5863ff	train	human
o^{\prime}=\frac{o-rq}{\sqrt{1-\frac{r^{2}}{b^{2}}}}	3402330848457ef9	train	human
\lambda>\lambda_{c}	2c4582acf0fd7183	train	human
\frac{4}{\sqrt{4-\frac{v^{9}}{x^{9}}}}	a7de3034256ba3f7	train	human
\frac{400}{3.56}=A^{2}	b69bb76a0bdcb89d	train	human
\sqrt{50}	f916b4cafc77b736	train	human
x=\frac{1}{2}sinht	d59b57ce5396bad3	train	human
\tilde{\nu}	10a12ac9408f3563	train	human
\frac{dr}{dt}=-r	fd2e6e0e74da37e7	train	human
e^{15^{15^{15^{133}}}}	f3c487890c1c6f4a	train	human
R(r,s)\le(\begin{matrix}r+s-2\\ r-1\end{matrix})	89cbbe585fd43f44	train	human
\tilde{6}	5aa98aa6f79ae0f5	train	human
\overline{K}(C)	29c53166a353a6ba	train	human
\tilde{G}^{K}	8aece665e2ec2af3	train	human

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