Split (3)

train · 230k rows

latex stringlengths 1 188	sample_id stringlengths 16 16	split_tag stringclasses 1 value	data_type stringclasses 1 value
e=\sum_{n=0}^{\infty}\frac{1}{n!}	e8400c9434297b1f	train	human
v=\frac{V_{max}S}{K_{m}+S}	8630312b59b909e7	train	human
\Delta v/c=2\times10^{-7}	717127cfcf4a66b9	train	human
b_{i}=\frac{n_{i}}{m_{solv}}	4d6171bdcb7b23fe	train	human
-\frac{x}{\|\|x\|\|^{2}}\in R^{n}	6cd35307a74c578b	train	human
1^{433}\cdot111+\sqrt{5}^{381}	11638324d88c007a	train	human
Bexp(-t)	9e6f094d87713e8a	train	human
\tilde{n}_{i}	6136fc30a84d3e2c	train	human
(\begin{matrix}n+k-1\\ k\end{matrix})	0ad876500365dd16	train	human
(\begin{matrix}n\\ 0\end{matrix})	6e21b9037daaba80	train	human
(\frac{6}{94})^{6^{146}}	301d507db692ba9a	train	human
\frac{dQ}{dt}	ff3cca3c081e19df	train	human
\frac{\partial\phi_{B}}{\partial t}=0	3e8b460d634e4ec1	train	human
\frac{dr}{dt}	2084db762755dd71	train	human
\overline{x}=\frac{\sum fx}{\sum f}	ed8dfc71a4751353	train	human
\frac{\frac{\frac{7}{7}}{1}}{6-440+\sqrt{9}}	b28ca44b770e1fa2	train	human
\phi(h)=\frac{e^{\cdot\frac{h^{2}}{2}}}{\sqrt{2\Pi}}	e119381d1cd6391c	train	human
S	e63bdf0011dbb3eb	train	human
\frac{n(n+1)(2n+1)}{2}	ea5b0d72fcf2734e	train	human
\tilde{C}_{n}	c416f0732e3fe724	train	human
\frac{\partial\Pi}{\partial x_{j}}	c05ad46a152ce993	train	human
f_{c}=\frac{1}{2\pi\tau}=\frac{1}{2\pi RC}	5713c82e2930d2ab	train	human
(\begin{matrix}n\\ n/2\end{matrix})	193d1fc0a393c432	train	human
\sqrt{n}	801633e180f451d0	train	human
S=\int Ldt	1de8d1974d0128ac	train	human
\int\frac{dx}{lnx}	bdc7418cc12e1431	train	human
L\cdot\frac{10.67}{C^{1.85}d^{4.87}}	497c01d70e96cbbc	train	human
x=[\begin{matrix}7.111\\ -3.222\end{matrix}]	148e048cb76b28b6	train	human
W=\int Fdr	4f8903cd2e24a1c0	train	human
\int fg=f(x)\int g	5466e06110fbf0df	train	human
\frac{d^{4}y}{dx^{4}}	8f5cf3b103267669	train	human
(\begin{matrix}1&2\\ 2&1\end{matrix})	4b021deff1166672	train	human
\frac{470^{10}}{7+9^{5}}	9a989608621a87d7	train	human
\frac{\partial^{2}U}{\partial t^{2}}-c^{2}\frac{\partial^{2}U}{\partial x^{2}}=0	159bc1e5c41ba19b	train	human
0\notin\{1,2,3,4,5\}	a3046ef9b45fea69	train	human
\frac{\partial u}{\partial t}-v\beta y=\frac{\tau_{x}}{\rho h}	3dccd26e1d2a60d2	train	human
r,r^{\prime}\in R_{n}	f134d860d038c938	train	human
\sqrt{\Pi}	364ff267df49235d	train	human
e[n]=x[n]-\hat{x}[n]	a067238b63f6baa5	train	human
\underline{P}\equiv(P^{+},\vec{P}_{\perp})	fbe48871b34c3e7b	train	human
\tilde{G}(s)	7df76337fdce2e24	train	human
\hat{z}(t)	836cc98cbd381f51	train	human
exp_{a}^{p}(b)=a^{a^{\cdot^{\cdot^{a^{b}}}}}	70227171c0c35140	train	human
\frac{\partial V_{2}/\partial Y_{2}}{\partial V_{2}/\partial C_{2}}+1=0	2766219b1fbcdf61	train	human
H(\underline{w})	c9ba862fc52bd09d	train	human
\sigma_{j}>0	1db034f10408d362	train	human
M\underline{A}	d591da47813bcac4	train	human
\pi/R	259969627f874a41	train	human
\frac{10^{145}}{\frac{\frac{10}{376}}{234}}	e75efdcb9ac7d1d0	train	human
v=\sqrt{\frac{ke^{2}}{mr}}	9a9bffb9d4ed2998	train	human
p=3\sqrt[3]{uv}	959f9d7c2fafabdf	train	human
\frac{\partial v_{i}}{\partial x_{i}}=0	60bf18e8eda83338	train	human
H_{1}=H\otimes l^{2}(\Gamma)	484f00cbaaf6edc6	train	human
(\frac{\frac{6}{2}}{2})^{8^{453}}	7d4f8296a30295c6	train	human
I=\int e^{x}cos(x)dx	a6b8ce17fe2b913a	train	human
\tilde{O}(m)	a70135cf252ab274	train	human
\sqrt{C}	36421cdf786a7ffb	train	human
\|\|x-y\|\|<\epsilon	248ec62f63c456f2	train	human
\frac{1}{1-X}	c93bba33cf551b1a	train	human
\frac{1/\lambda}{R_{H}}-\frac{1}{n_{1}^{2}}=-\frac{1}{n_{2}^{2}}	c3167d74d96092a9	train	human
(\begin{matrix}-1&-\nu\\ 0&-1\end{matrix})	244d3e61be1d325e	train	human
\dot{V}_{A}/\dot{Q}_{c}	489302bff8c249d5	train	human
\frac{\eta}{l}=Re_{l}^{-3/4}	da3d4995804aeeec	train	human
a_{(\nu_{7})}	488c89d6121413ab	train	human

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