image
imagewidth (px) 4
512
| 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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