image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
(\begin{matrix}1&a\\ 0&1\end{matrix}) | 2102a9264086311c | train | human | |
(\frac{5}{4}/359)/\sqrt{8}^{146} | 951dfc89a8a88e5d | train | human | |
\phi(\tilde{\nu}-\tilde{\nu}_{0}) | f2f00414ff3d3596 | train | human | |
x | bd72806ed4a12d4e | train | human | |
\frac{{8^{\sqrt{43}}}^{382}}{(\frac{215}{430})^{72}} | 419850a618abdede | train | human | |
q_{tt}^{i}=\xi^{i}(t,q^{j},q_{t}^{j}) | e9d35d15982ab1f4 | train | human | |
\theta=n(\lambda-\lambda_{0}) | 0d3604a4e6a2c065 | train | human | |
\hat{P} | e23c7eb002daac52 | train | human | |
x | bc19b58e7b028e61 | train | human | |
\frac{|a|}{a^{2}+b^{2}} | c67c7aa411bacd51 | train | human | |
\underline{V}=\underline{I}\underline{Z} | da5099604ad492aa | train | human | |
3^{269}-40-\frac{426^{6}}{8} | 8a431fb52eead71a | train | human | |
\frac{\partial f}{\partial a} | f2e0a1ef2b4fa8b3 | train | human | |
g^{\prime\prime}=\frac{n-1}{n^{2}}g^{-\frac{n+1}{n-1}} | dc9dd62344ccd988 | train | human | |
\mu+\frac{\phi(\alpha)-\phi(\beta)}{Z}\sigma | ce9cc79b387cb882 | train | human | |
\{\vec{v_{1}},\vec{v_{2}},\cdot\cdot\cdot,\vec{v_{k}}\} | 418531e0ea882c0f | train | human | |
\hat{v}_{n} | 2b2e9abd62750738 | train | human | |
\{5,1\}^{3^{3^{\aleph_{5}}}} | 2194efb8e45e2e8d | train | human | |
\int_{a}^{b}f(x)dx | a7c8b92c8ad8fd6f | train | human | |
-2\int Edl | ca5cb6f7a981200a | train | human | |
\sigma_{0}=\frac{n_{e}e^{2}}{m_{e}\nu_{c}} | 03b694f29c991406 | train | human | |
\frac{\partial p}{\partial t}=0 | 741e068da245f653 | train | human | |
a_{p}=a(1-\frac{2f}{3}) | dff7b3b5dc086d27 | train | human | |
\prod B_{i} | 630571dc85c932b5 | train | human | |
(\frac{1}{3}\pi R^{2}D) | d0df846bbb37937d | train | human | |
\frac{dx}{dt} | e63402c7895c1480 | train | human | |
\int pdq=nh | 25c96aa12988df47 | train | human | |
{(w^{j})}^{1} | 4b214f44e3737a39 | train | human | |
(c-v)\rightarrow c | 57b04c0dfb2d7304 | train | human | |
E^{*}=\frac{E}{1-\nu^{2}} | 5298d8a1dbff88cf | train | human | |
2(\begin{matrix}n\\ k\end{matrix}) | 58ff53cad9ca073d | train | human | |
(\begin{matrix}n\\ r\end{matrix}) | 6c894544154e40f5 | train | human | |
[\begin{matrix}1&\frac{1}{G}\\ 0&1\end{matrix}] | 4c275d684d2e5d9e | train | human | |
|\alpha-\frac{p}{q}| | 27b5a2084f81d5b5 | train | human | |
\frac{dX}{dt}=AX | dc01229d4a90372c | train | human | |
\int_{B}\psi dx=1 | 23d09b22537bda3a | train | human | |
\eta_{0}=\sqrt{\frac{\mu_{0}}{\epsilon_{0}}} | 89674fb52204c199 | train | human | |
(\begin{matrix}n\\ n/2\end{matrix}) | 5bec575be0796e80 | train | human | |
1,2,...,9 | bc4559d17457f250 | train | human | |
\dot{\epsilon}\ll\frac{1}{\lambda} | 81810821b8db131d | train | human | |
2(\begin{matrix}n\\ k\end{matrix}) | 3d7a5cef2a59a560 | train | human | |
\frac{c}{v_{g}}=n+\omega\frac{\partial n}{\partial\omega} | 9d9ce6162ec75201 | train | human | |
\frac{\partial x}{\partial\theta} | 360c71303d7ee9f0 | train | human | |
\overline{\psi} | 64a1206ad079a07a | train | human | |
i=id | 69803a05576bae48 | train | human | |
\frac{1}{N-1} | f0ccb48965a66f15 | train | human | |
s_{1}(x)=-\frac{1}{2}x | 94a6804c3b72c195 | train | human | |
\overline{S_{n}}=a\mathbb{I}\{S_{n}>a\} | 0c7ba86a0020de8e | train | human | |
S=\int(\frac{dx}{dt})^{2}dt | 6525888ad0a168e3 | train | human | |
\Lambda\alpha.\lambda x^{\alpha}.\lambda f^{\alpha\rightarrow\alpha}.x | c7586c256d8fde8e | train | human | |
\prod_{p=3}^{\infty}\frac{p(p-2)}{(p-1)^{2}} | f3ec8675498d56e1 | train | human | |
\Delta X=\Delta P=1/\sqrt{2} | fce2dde5e85bae5c | train | human | |
(g-1)dimG | f2cf415b164255fc | train | human | |
\int_{1}^{x}(1+1/t)dt | 3bcf3aca330eabb1 | train | human | |
-R_{n} | a1efb2ed1ef1d3b6 | train | human | |
\bigcup_{i\in I}N_{i}=M | 9b7e46f5acfd775c | train | human | |
\frac{\partial F_{k_{1}}}{\partial\phi} | dce67bc9278819e1 | train | human | |
1\le k\le|X| | c78f41ad79a53412 | train | human | |
\frac{1}{1\cdot r^{\frac{X\times(1\cdot X)}{7^{N+1}}}} | 0c858f6f2a6d3d46 | train | human | |
u_{2,21}^{0}=u_{2,12}^{0} | 55f19c0e4aa4d583 | train | human | |
\frac{dZ}{dt}=k_{5}Y-k_{6}Z | 28e8622ad0ea1757 | train | human | |
\frac{10\cdot6}{448}\cdot\frac{7}{185} | f3434639f9b5d020 | train | human | |
\frac{\frac{20*(\begin{matrix}28\\ 4\end{matrix})}{4!}-\frac{16*(\begin{matrix}27\\ 3\end{matrix})}{3!}}{(\begin{matrix}32\\ 8\end{matrix})} | b91592dabb1775e1 | train | human | |
\int_{a}^{b}k(s)ds | 536c06c8e91a8507 | train | human | |
|n\rangle\equiv|n(0)\rangle | 9745e9a81fa6e9c4 | train | human | |
\tau(a,b)=TrL(ab). | 15589cc9a9ce148f | train | human | |
\hat{H}=\hat{H}(\hat{P}) | 2f9ed704c6547537 | train | human | |
\frac{\frac{10}{356}}{302}-(\frac{1}{1})^{1} | e73e269ad77c1532 | train | human | |
h_{c}=\sqrt[3]{\frac{Q^{2}}{g}} | 91e6a0f148b439fe | train | human | |
\frac{i}{k-1} | 4ac8620a1c69b304 | train | human | |
\frac{f^{\prime}(x)}{g^{\prime}(x)}=\frac{1+cos(x)}{1} | 3f9ce23fa4dca113 | train | human | |
Ef(x)=\frac{dlogf(x)}{dlogx} | 892c3775428675e8 | train | human | |
b{(-1+2^{\frac{1}{p}})}^{-\frac{1}{a}} | 70be75c2b88132f6 | train | human | |
x(\frac{az+b}{cz+d})=x(z) | d47c54e8019be43d | train | human | |
\int_{1}^{x}(1+1/t)dt | b681acb4ab95a4ad | train | human | |
\frac{dp_{o}}{p_{o}} | e0161f9f8abd6c0c | train | human | |
\hat{A}=\hat{A}^{\dagger} | 8d5e86bb944cac1e | train | human | |
\frac{k-1}{n-1} | 9e8085229b2cc670 | train | human | |
I=c\epsilon_{0}E_{a}^{2}/2 | 43fbcf173dfc2a57 | train | human | |
\frac{a}{a+b}<1 | 2ed8ab45a13a4718 | train | human | |
(\overline{r},\overline{v}) | 0ae5ecce1701118d | train | human | |
Z=\frac{\partial}{\partial z} | a4fb8525461fd649 | train | human | |
\prod_{i}X_{i} | af8c40f2361ad838 | train | human | |
y_{0}=x_{0}^{T}\beta | 05d73921d5e42356 | train | human | |
\wedge | 4c3bc5e2394efb7d | train | human | |
n=\frac{m_{9}v}{\sqrt{1+\frac{v^{3}}{c^{3}}}} | 6b869aaea8d54194 | train | human | |
x\notin P | 85469d410e09fc86 | train | human | |
x=y=\frac{i}{\sqrt{2}} | 089fdfa17771d1fd | train | human | |
|x-\frac{p_{n}}{q_{n}}|<\frac{1}{q_{n}q_{n+1}} | d04036ccb76138ba | train | human | |
\sqrt{20}^{1}-(\frac{48}{204})^{302} | 3d62b7541ec4826b | train | human | |
(A-\lambda I)^{2}=0 | d60512059e964e92 | train | human | |
2^{-r_{2}}\sqrt{|\Delta_{K}|} | 70cbe1559021bb84 | train | human | |
\sigma=2\sqrt{3} | a8a3d49902e323e1 | train | human | |
\frac{v_{0}^{2}-v^{2}}{2}=g(r-y) | f9d085f7fcd3a1e1 | train | human | |
l^{l^{\cdot^{\cdot^{l^{b}}}}} | 772bbb488ff844f5 | train | human | |
M_{i}=\sum_{j}\frac{z_{j}}{r_{ij}/r_{0}} | aa56aab83e66cf98 | train | human | |
a(x)=\int f(x)dx | ab9a9c9099621890 | train | human | |
\int_{x_{s}(t)+\epsilon}^{x_{2}}w_{t}dx\rightarrow0 | 06685e930d73f56b | train | human | |
\frac{f(1)}{f(0)}=\frac{1}{2} | b79fa561943d96b2 | train | human | |
U(r)\equiv r\psi(r) | bcdab705ad96151a | train | human |
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