image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\hat{x}_{2} | 6de128111b07f059 | train | human | |
\hat{h}_{E}:E(\overline{K})\rightarrow R | fc76f5a9ab2beb89 | train | human | |
\frac{dE_{2}}{dE_{1}}=-1 | 7a57cdcc13afef41 | train | human | |
\bigcap\{\overline{B}_{0}:B_{0}\in B\} | c07a945ac481ccb1 | train | human | |
p=\frac{\rho R_{u}T}{M} | f2f1dff88d357acc | train | human | |
9.2\times10^{-6} | 7941c4acebc9915a | train | human | |
-log_{2}(r)<n+1 | 27c2d1b5dfb68b4f | train | human | |
exp\{\mu t+\frac{1}{2}\sigma^{2}t^{2}\} | 46914c739863e819 | train | human | |
\lfloor\frac{2}{2-(r-1)^{2}}\rfloor | 060b4402ed46ab78 | train | human | |
\theta=44.537^{\circ} | 3698f433aeedf12f | train | human | |
\int f(x)dx=1 | 8e3e6454dd38d3b3 | train | human | |
B=3(\int_{0}^{a}e^{x}dx) | c9b0db37098da6fd | train | human | |
\langle x,f(x)\rangle | c77fc17c00cd490c | train | human | |
(\begin{matrix}p_{n-1}&p_{n}\\ q_{n-1}&q_{n}\end{matrix}) | fa526643e8e4a172 | train | human | |
\frac{9}{\sqrt{10}}-76^{249} | ae4c850290f6362b | train | human | |
i^{\lambda_{\pi}} | 622d75910c0287ae | train | human | |
\overline{AH} | 4e88c1701e28911d | train | human | |
\alpha(w)=\frac{a_{2}|w|}{1+a_{3}|w|} | d380d8e9d846c6ff | train | human | |
r=a\frac{sinn\theta}{sin(n+1)\theta} | 9685fa0a4104c8a1 | train | human | |
\alpha=2/(n+1) | 071fa1bf8713a78d | train | human | |
3^{(\begin{matrix}n\\ 2\end{matrix})} | 9400f2895e82beb7 | train | human | |
\frac{1}{10}+\frac{1}{40}=\frac{1}{8} | 07728dda5e57441d | train | human | |
(\begin{matrix}n\\ 5\end{matrix}) | 8f43bcaebe6d7334 | train | human | |
H=x\frac{d}{dx}-y\frac{d}{dy} | 0a7e83bb0cfb59b7 | train | human | |
A||_{+}C||_{-}B | 6b3b796d4b723747 | train | human | |
\frac{dq}{dt} | db7c0aacd8789054 | train | human | |
T_{n}+T_{\lfloor\frac{n}{2}\rfloor} | 896b6de02e6fe24c | train | human | |
\tau_{ax}=(\frac{1}{k_{B}T})\frac{F_{eq}}{2} | ee6d8d86ce5f3d56 | train | human | |
\overline{v}=\frac{v-u}{2} | d7d3a527e956153b | train | human | |
(\begin{matrix}N\\ M\end{matrix}) | 0f6c9fa03bbcb2c2 | train | human | |
F=\{(A_{i},B_{i})\}_{i=1}^{h} | 823d961d3f84cc0e | train | human | |
C:[0,1]^{d}\rightarrow[0,1] | ddca9a0db71bb421 | train | human | |
\hat{H}^{\prime} | 552cb8def89636b6 | train | human | |
(\begin{matrix}9\\ 4\end{matrix}) | c5f0f00274254fa3 | train | human | |
P_{c}=\frac{2\gamma}{r}cos\phi | c52dae44369350ba | train | human | |
\tau=\frac{C_{Ain}-C_{Aout}}{(-r_{AF})} | a194c99f1d0ae3d8 | train | human | |
\frac{310-9}{\frac{2}{6}+4} | 8d4d8acdd245f163 | train | human | |
{{7^{5}}^{4}}^{(\frac{6}{101})^{6}} | ca1ba545daa24c95 | train | human | |
a_{n}=t_{n}-\frac{1}{2(n+1)} | e9fe520910f61d2a | train | human | |
\overline{u_{i}} | 7250319e5b0712c1 | train | human | |
\frac{\partial}{\partial y}f(w,x,y,z)=0 | d8ee16674392a2d9 | train | human | |
(\begin{matrix}0&b\\ -b&0\end{matrix}) | 97ad43b8ec25923d | train | human | |
V(\tilde{\beta}) | bcd5eb561b89ae66 | train | human | |
B_{\rho}^{\eta} | c2e5769427b893a0 | train | human | |
\tilde{E}=E\times\mathbb{Z}_{n} | e093214773384cb6 | train | human | |
(\begin{matrix}n\\ 2k\end{matrix}) | 517d2a59c6f893f4 | train | human | |
P^{S_{2}^{P}}=S_{2}^{P} | 44e1345e6caa9b5a | train | human | |
(\begin{matrix}p^{r}\\ s\end{matrix}) | 01cb9c0ba537a8ab | train | human | |
\frac{S_{2}}{S_{1}}=\frac{135}{128}\div\frac{25}{24} | dc0cc45c831a3b3b | train | human | |
\frac{\partial u}{\partial t}=F(u,t) | f3348afff65a60e3 | train | human | |
1-\prod_{n=k}^{\infty}(1-p_{n}) | 428a5a9432858180 | train | human | |
Li(x)=\int_{2}^{x}\frac{dt}{lnt} | 5e6c48890877a83a | train | human | |
\frac{Y_{n}\sqrt{n}}{\sigma} | 9843d3c92c29261f | train | human | |
a=\sqrt[2]{\frac{P}{2mt}} | 6f6005bf3ccaa25b | train | human | |
\alpha_{i}\simeq-\mu/kT | 22d903aa4a4f4db0 | train | human | |
{9^{9}}^{\frac{9}{5}} | 4ecc68355b88ec49 | train | human | |
(\begin{matrix}e&f\\ 0&g\end{matrix}) | 1ddd103bc7cec604 | train | human | |
\tau=\frac{2Gb}{x} | 56bd872f3ed1c67a | train | human | |
\frac{\frac{(8\cdot\sqrt{303})}{24}}{6^{374}\cdot7} | a23b79902561d070 | train | human | |
E=QV | 33d82da19feea7fb | train | human | |
\frac{\partial f}{\partial\overline{z}}=0 | 47bc7a8894eb38b8 | train | human | |
1.25\sqrt{H} | 301869193d19a1d8 | train | human | |
B=\int_{0}^{1}L(X)dX | a4b077829595db15 | train | human | |
\alpha_{t}=\frac{1}{2}ln(\frac{1-\epsilon_{t}}{\epsilon_{t}}) | 1821e9ba9008a48d | train | human | |
\lambda_{vac}=\frac{1}{\tilde{\nu}} | c45aea183c24e6fe | train | human | |
\int_{G}fd\mu | 3a340e389e404f0e | train | human | |
u=\frac{mx}{\sqrt{1\cdot\frac{x^{7}}{c^{7}}}} | b6b8dd046cac0973 | train | human | |
v=\int\frac{dv}{dx}dx | 6a4a6b8526ce9178 | train | human | |
X=t^{t^{t^{...^{t^{i}}}}} | 55d2b5d88e234ffe | train | human | |
g=\frac{dv}{dx} | 23375f68f11282c6 | train | human | |
\begin{matrix}x&y\\ z&v\end{matrix} | 18a0b84b6c996913 | train | human | |
c_{n}=\prod_{i=1}^{n}p_{i} | e565c4bdb940c9b1 | train | human | |
\sqrt{4} | 9970d24a21f3fb05 | train | human | |
\tilde{G_{0}} | 487d41fecaa3a627 | train | human | |
\tilde{H}_{i}(X) | 2e00d45e2194947e | train | human | |
r_{kk^{\prime}}\le1 | b693bbcc0311f165 | train | human | |
\frac{m}{n}=\frac{x}{y} | 9eab2f947cbf5e0a | train | human | |
\int_{a}^{b}f(x)dx | 1e4f84e4b2c46bfa | train | human | |
\zeta^{*}=\sum_{J\subseteq R}(-1)^{J}\zeta_{P_{J}}^{G} | d3c55ade69c88ab2 | train | human | |
v=\sqrt{\frac{T}{\mu}} | e95764f9c6a99e2a | train | human | |
(1+\frac{1}{n})^{n}=e | a585e6762ca437a7 | train | human | |
\int_{M}A\wedge dA | 7966a4a728bfea1c | train | human | |
\frac{\frac{131}{212}}{399^{6}-96} | aa784c91e86e1ed9 | train | human | |
N=\frac{1}{\sum_{i=1}^{n}p_{i}^{2}} | a115e34216da06e9 | train | human | |
\hat{H}=\frac{\hat{p}^{2}}{2m}+V(\hat{q}) | 24b44098a3cbd7f8 | train | human | |
g(x)=\int_{0}^{x}f(t)dt | 9a19b71faf2a043d | train | human | |
\frac{dy}{dx} | 82e21b698d7b6640 | train | human | |
P_{ij}=0.84 | 1df16a1eac137340 | train | human | |
q=\frac{m\cdot b}{\sqrt{6-\frac{b^{7}}{c^{7}}}} | d835726acd326c86 | train | human | |
f^{\prime}:=\frac{df}{ds} | abbd8baf0d5b8f10 | train | human | |
h(x)=f(ax) | cbcd4da3299e7bf1 | train | human | |
\frac{\frac{\sqrt{8}\cdot\sqrt{8}}{9}}{406\cdot249} | 603dbe12aac9b733 | train | human | |
X=[\begin{matrix}0&1\\ 1&0\end{matrix}] | 91aaeeab36c1d353 | train | human | |
\int_{0}^{1}[x]dx=0 | 2b6b0ef629b12d6e | train | human | |
\frac{dv}{dy} | b144accc40afdcaf | train | human | |
\int_{0}^{x}e^{f(t)}dt | 37bfe05f1255fdb4 | train | human | |
(\begin{matrix}n\\ a\end{matrix})<e^{at} | f8239e771c3ff9fd | train | human | |
sin\frac{\pi}{2}=1 | 4b3f43fb081382d5 | train | human | |
G=K_{I}^{2}(\frac{1-\nu^{2}}{E}) | 0fcbb12cca647795 | train | human | |
f=\prod_{P}P^{f_{P}} | 6e7969535f8a8efd | train | human |
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