image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
A=[\begin{matrix}1&-3\\ 1&2\end{matrix}] | acb699db93c47784 | train | human | |
q=exp2\pi i\tau | d4f4d3952a29181f | train | human | |
E=\frac{ti^{4}}{\sqrt{6-\frac{v^{4}}{i^{4}}}} | a63249b9e5b6e73a | train | human | |
x_{i}=\frac{n_{i}}{n} | efe522a2db318b40 | train | human | |
\frac{\partial u_{i}}{\partial p_{j}}<0 | c926e7400eeefa91 | train | human | |
\forall b_{1},...,b_{n}\notin T(s) | eb01cba5f8a2ae1e | train | human | |
2^{i}n-1 | 5a8096946a917a65 | train | human | |
q=\frac{z}{\sqrt{4\cdot\frac{e\cdot P}{2P_{m}}}} | b7e7b92cd21c30c1 | train | human | |
g(n)=\prod_{k=1}^{n}f(k) | 045ef9b170564ea8 | train | human | |
\tilde{G}_{2} | 797392d0a0a858d5 | train | human | |
i_{1}^{\prime}=\frac{i_{1}\cdot vt_{1}}{\sqrt{1\cdot\frac{v^{8}}{n^{8}}}} | af0a29214a8eef4d | train | human | |
\overline{\theta_{s}}(t)=s^{\frac{-1}{2}}\theta(-t/s) | 65390153c06f633b | train | human | |
(x\pm1,y) | 2dc1e56d82102154 | train | human | |
k=\lambda+n | ebfa43f6df1eb3b5 | train | human | |
393^{314}\cdot2^{7}/\sqrt{10} | 0efefaa817019077 | train | human | |
\frac{t}{\sqrt{0-\frac{l^{2}}{c^{2}}}} | b42f7f020c25d04b | train | human | |
A=\frac{h^{2}}{\sqrt{3}} | 6189fc089a4f3c69 | train | human | |
t=\frac{|r|}{\sqrt{\frac{8-r^{0}}{p-0}}} | c6c8ac9ad28777c4 | train | human | |
(\frac{132}{6}-\frac{7}{408}-159) | 1860402eb214147e | train | human | |
r=\frac{\lambda_{2}}{\lambda_{1}+\lambda_{2}} | c7a5bd74baa786dd | train | human | |
i=-\frac{dq}{dt} | 83bf385cd768968e | train | human | |
\frac{\alpha+n}{\beta+n\overline{x}} | 8910f79d6ed23481 | train | human | |
K_{E}=\frac{V_{RM}}{V_{O_{2}}} | c3c63991187311da | train | human | |
\int\frac{2}{3xln(2x+1)}dx | 8c44e089e33fd26c | train | human | |
I=\int_{m}^{n}f(x)dx | 03fbfd3d3bb0fcd1 | train | human | |
\rho=\frac{1}{2}(I+r\cdot\sigma) | a237b8c0362587a8 | train | human | |
(1-\frac{2}{n})\times180 | 2adff54641432503 | train | human | |
\frac{\mu v}{\delta_{1}} | 5d015900e45a3789 | train | human | |
\frac{\partial F}{\partial x}=I | 9b82096af18edb04 | train | human | |
{2^{7}}^{9}/1+23 | 5bea834ad2b09be7 | train | human | |
<p^{\prime}|J^{\mu}(0)|p> | b20d1ca36ccf086f | train | human | |
\overline{v_{i}} | 94fad2558d487116 | train | human | |
[\begin{matrix}1&0&0\\ 0&1&0\\ 0&a&1\end{matrix}] | 43c464532da871f0 | train | human | |
\prod_{n}(z-c_{n}) | 2e125c4747db6341 | train | human | |
\frac{d^{n}}{dx^{n}} | 328bf9d663a52418 | train | human | |
||v||=\sqrt{g_{ij}v^{i}v^{j}} | be46ae1d1bca47b9 | train | human | |
h(e) | c170a0a2b20f7410 | train | human | |
|t|<\frac{\pi}{2} | 23126b533d69c506 | train | human | |
\underline{P}(Cl_{t}^{\ge}) | 50d149b46dfc8792 | train | human | |
y:=\sum_{k=0}^{\infty}(\begin{matrix}\alpha\\ k\end{matrix})x^{k} | dafb04e717fb2737 | train | human | |
O(s^{-\frac{\alpha}{1-\alpha}}) | f8d5b74071a4e798 | train | human | |
w_{6}^{w_{7}^{\cdot^{\cdot^{w_{n}}}}} | 6017443f6cef7cc8 | train | human | |
(\frac{10}{164}+7)^{\frac{10}{451}-\sqrt{21}} | e318f58400711054 | train | human | |
\int_{0}^{x}cos(1/t)dt | acecef334e63dbfa | train | human | |
\int d^{3}xJ^{0} | cce012152bc1c971 | train | human | |
\omega_{\mu}=e_{\mu\nu\rho\sigma}\xi^{\nu}\nabla^{\rho}\xi^{\sigma} | 553fec687b1696f5 | train | human | |
\theta=ln\frac{p}{1-p}= | 6a189a0c7eaae6cb | train | human | |
(\begin{matrix}6\\ 5\end{matrix}) | 878d83a42804a229 | train | human | |
\frac{\partial B}{\partial t}=-\nabla\times E | f1b602b3b782c074 | train | human | |
[\begin{matrix}1&\frac{1}{sC}\\ 0&1\end{matrix}] | 1c2d85ac08bc9c99 | train | human | |
\varphi_{s}^{y} | a093a5b2f2bf4742 | train | human | |
\frac{d^{2}\psi_{1}}{dx^{2}}=-k^{\prime2}\psi_{1} | bb637078d2973b19 | train | human | |
\tilde{c}_{i}\equiv t_{i}modv^{-1}F^{-} | 1bfc41d36c1ae228 | train | human | |
(\begin{matrix}n-1\\ x-1\end{matrix}) | 4f37c07b84bcfa91 | train | human | |
\overline{1} | dfd9208bac868b19 | train | human | |
\overline{OD} | 91f8670fc6e6b20a | train | human | |
7^{7^{7^{7^{7}}}}-5 | 3cf8caffc5116264 | train | human | |
280^{280^{280^{280^{287}}}} | 9e342c9c40a14841 | train | human | |
\frac{1}{2}\sqrt{r-r^{2}} | 1ce490f1b459beaf | train | human | |
{(\frac{{w_{z}}^{4}}{{w_{a}}^{4}}-1)}^{4}\ge0 | 1b8515db7bf61326 | train | human | |
m=\frac{m_{4}}{\sqrt{3\cdot\frac{v^{9}}{c^{9}}}} | 09c49b4cb0ea9d78 | train | human | |
\frac{\frac{\frac{3}{\sqrt{1}}}{447}}{4^{7}} | 0ffc5cb862ea5aa7 | train | human | |
u=\frac{\partial\psi}{\partial y} | 782d60caf1b6f17e | train | human | |
\int d\Omega | 30e51a7b493758e3 | train | human | |
(\begin{matrix}3\\ 4\end{matrix}) | 1121d100d0c0b621 | train | human | |
\sum_{i=1}^{k}\frac{n_{i}c_{i}}{m_{i}} | a867f123a499465e | train | human | |
\rho\frac{\partial^{2}u_{i}}{\partial t^{2}}=\partial_{j}\tau_{ij} | b0c37f76339aeb4f | train | human | |
q=\frac{2ab}{\sigma^{2}}-1 | 5ad1523ff26485b0 | train | human | |
5^{5^{5^{.^{.^{n}}}}} | fc923b257efe6590 | train | human | |
\sigma_{0}(n)=\prod_{i=1}^{k}(\alpha_{i}+1) | 2ecd9601cdf2d6e7 | train | human | |
logP=A-\frac{B}{T} | e6bb231ab55ecd8b | train | human | |
\Delta_{r}G^{\circ}=-nFE^{\circ} | bb36a148c00b4361 | train | human | |
\hat{C}_{1} | a781e2ae2dd558d1 | train | human | |
N(r)=\pi r^{2}+E(r) | 962f0709b00e00ee | train | human | |
\beta=\frac{9}{\sqrt{\sum_{\varpi=9}^{z}\frac{c^{2}}{f_{\varpi}^{2}}}} | 9dab9581b3a7d38b | train | human | |
\sqrt{20}^{1}-(\frac{48}{204})^{302} | 5c03b9a8358d52ff | train | human | |
d(A)=lim_{n\rightarrow\infty}\frac{a(n)}{n} | e33bd390d82afc48 | train | human | |
||f||_{1}=\int|f|d\mu | 5682d8ee82dfacf6 | train | human | |
(\begin{matrix}n-1\\ k\end{matrix}) | f97b8c69c481311b | train | human | |
4\cdot5^{{39^{1}}^{132}} | f632303178b19969 | train | human | |
\hat{r}=y-Hy | 0e91ada7652a175f | train | human | |
(\begin{matrix}p+q+3\\ 2\end{matrix}) | 9b41b4fa016c3052 | train | human | |
=\frac{c_{n-1}-c_{n-2}}{c_{n}-c_{n-1}} | e0ce5bc9cd1e7db0 | train | human | |
(\begin{matrix}0&0\\ 0&1\end{matrix}) | ac21340d653cf87a | train | human | |
\hat{w}_{2} | e8ecdaf6085526f2 | train | human | |
D_{n}(-x)=D_{n}(x) | 5aed580ce653279c | train | human | |
R^{\prime}=\frac{dR}{dQ} | 7d3abfe364cc958c | train | human | |
Money[0]=300 | e87893a826bc8053 | train | human | |
\mu_{\lambda}=-\frac{1}{\Phi_{e,\lambda}}\frac{d\Phi_{e,\lambda}}{dz} | 9ffc3115adda54f7 | train | human | |
\frac{\partial I}{\partial t} | b5745e42d41d1b9c | train | human | |
\frac{m}{\sqrt{5-\frac{y^{8}}{c^{8}}}} | 917af49b8469ca74 | train | human | |
\frac{\sum(p_{c,t_{n}}\cdot q_{c,t_{n-1}})}{\sum(p_{c,t_{n-1}}\cdot q_{c,t_{n-1}})} | 31327c5dbc018f67 | train | human | |
\frac{M}{y_{c}^{2}}=\frac{q^{2}}{gyy_{c}^{2}}+\frac{y^{2}}{2y_{c}^{2}} | 8ad573dd17f6dd22 | train | human | |
(-b-\sqrt{b^{2}-4c})/2 | 92d5f23e4a320cf9 | train | human | |
\sqrt{2p} | 3993c9c0ec289d02 | train | human | |
(2-8^{9}-(8-221)) | 7d0e72d753db91d3 | train | human | |
\{X_{i},Y_{i},Z_{i}\} | 8c801110dea376e3 | train | human | |
(\frac{86}{6}\cdot224)^{(\frac{193}{72})^{150}} | 749c9ed1b42adee5 | train | human | |
M=\frac{mc^{7}}{\sqrt{4\cdot\frac{v^{7}}{c^{7}}}} | 4518fe6aa6df1d6a | train | human | |
\frac{d^{2}\vec{v}}{dt^{2}} | 4475f1ce48b4638b | train | human |
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