image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
W=\int Fdr | bfbcc252cb812a5e | train | human | |
\hat{X_{a}} | b5faa33f89574829 | train | human | |
P\underline{\wedge}Q | ca6d78c8080fcbe2 | train | human | |
FC=V-N-\frac{B}{2} | 6f3c8f067919fa46 | train | human | |
[\phi|\psi] | c6e71c9bf5369c3c | train | human | |
K<\frac{N^{2}}{4(N-1)} | b0eaec28764ff4b6 | train | human | |
4^{172}+2+258 | 84353051d6b5bdd5 | train | human | |
\tilde{a} | 40d5dcc5b1094220 | train | human | |
v_{xy}=0 | df4c47c75d1dab99 | train | human | |
\tilde{f}(x) | bac1d5f7831cc39e | train | human | |
\underline{V}=\underline{I}\underline{Z} | 0cb095ad4c3a9afb | train | human | |
[\begin{matrix}12&12&123&124\\ \end{matrix}] | feb554131beffa39 | train | human | |
[\begin{matrix}1&3&2\\ 4&1&0\end{matrix}] | 79f558a8bfe7ac87 | train | human | |
\omega_{\overline{x\wedge y}}=\omega_{\overline{x}\vee\overline{y}} | 3b93e524ccacd7b3 | train | human | |
\frac{\frac{4}{94}}{88^{3}} | ea9ff851fe5db8e2 | train | human | |
N=\prod_{l\in S}l>4\sqrt{q} | bac0094f7b795d8e | train | human | |
A=3\sqrt{25+10\sqrt{5}}a^{2} | a11b33aed7551845 | train | human | |
\sqrt{\tau} | 28e63c1dd8bfe99c | train | human | |
G^{i}=\bigcup_{j<i}G^{j} | 55dd77d7a187799b | train | human | |
\sqrt{5}=x_{inf}-1 | fb30261057040736 | train | human | |
e^{e^{\cdot^{\cdot^{\cdot}}}} | 6244240dba22beea | train | human | |
\underline{X}:U\rightarrow\mathbb{R}^{n} | e50c0cf7a4336d1c | train | human | |
(k-1)h<m | 6f5fce332f27a9be | train | human | |
b^{i}=\nabla\psi^{i} | e58438193e225dae | train | human | |
\frac{T}{T^{\prime}}=T\Delta f | ad346b2ea43767cc | train | human | |
\frac{\frac{131}{212}}{399^{6}-96} | 28d40b90f9ece4b5 | train | human | |
\prod_{i\in I}A_{i} | 99e3937d3b338064 | train | human | |
(\frac{d}{dt})^{2}x | 969900ac57489697 | train | human | |
\hat{x}_{1} | 6b45482be788dec9 | train | human | |
e^{-pt}dm | 857d2d921bd5fe35 | train | human | |
x_{min} | 1eb433ae23efe9aa | train | human | |
\frac{\sqrt{9}\cdot6}{(\frac{450}{16}+\sqrt{1})} | d96429412fd4f4c2 | train | human | |
S_{1,0}^{m}(R_{x}^{n}\times R_{\xi}^{N}) | 176126a7b0ac4efb | train | human | |
\frac{dV}{dt}=Q_{0} | 55bb6b25076e0950 | train | human | |
x\notin\{1,2,3\} | 1db46d626ff1a290 | train | human | |
\frac{\partial\rho}{\partial t} | 736eb523e970b6f6 | train | human | |
\tilde{f}_{i} | e1abc3369c592ef2 | train | human | |
\sqrt{m} | 9836980a631ce566 | train | human | |
c=\frac{d}{t} | c8aeb86df20dac43 | train | human | |
P(y_{j}|\theta_{j},\phi) | 818ebbc808366de6 | train | human | |
\frac{d^{2}x}{dt^{2}} | 946cc0c231db5411 | train | human | |
\frac{\frac{10}{356}}{302}-(\frac{1}{1})^{1} | a185a1c3df90a2b6 | train | human | |
\int_{Q}r^{2}dm | dc76c4f76efbcc57 | train | human | |
\frac{\frac{8}{283}}{2\cdot73\cdot5} | 69cbcb7ec9efa340 | train | human | |
\prod_{k=1}^{x}f(k) | 327b92b470f55bfc | train | human | |
\int_{1}^{(\cdot)}\frac{dt}{t} | 3b92b7c19a8a9635 | train | human | |
Im(a) | 960382b4ad7baea7 | train | human | |
\int d^{d}x\sqrt{-g}R^{2} | c71e62639ff3cfa8 | train | human | |
\frac{\partial V}{\partial E} | 5b60a9cc85bfa798 | train | human | |
g=A\rightarrow aA | 57321e2c18944b91 | train | human | |
\tilde{M} | 6635d3dd2ce8d0ce | train | human | |
kh_{k}=\sum_{i=1}^{k}h_{k-i}p_{i} | 608372e71d273067 | train | human | |
N_{-} | da6babb90cfd9fcf | train | human | |
log\frac{1}{2}=-log2 | 64b95dea523dd80f | train | human | |
y_{c}=\sqrt[3]{\frac{q^{2}}{g}} | 678a47a84aaea1fc | train | human | |
(\begin{matrix}K\\ k\end{matrix})(\begin{matrix}7-K\\ 3-k\end{matrix})=(\begin{matrix}K\\ 3\end{matrix}) | 8b59c093ab9b23fd | train | human | |
\prod_{pb=a}g_{b}=g_{a} | e528bcf8c68b158a | train | human | |
c\sqrt{n} | 4e93ce9caae063bf | train | human | |
\tilde{O}(log^{4}q) | b702d7036c926202 | train | human | |
q=(\begin{matrix}a&b\\ c&d\end{matrix}) | 98a3034c0f2f2490 | train | human | |
\frac{4}{269}/3-{386^{38}}^{9} | d16173048066e60f | train | human | |
M=C\cdot\frac{B}{T} | 9381f9f65c875662 | train | human | |
\underline{u}\in U | 5d531de74671c16f | train | human | |
\alpha_{1}^{\beta_{1}}\alpha_{2}^{\beta_{2}}\cdot\cdot\cdot\alpha_{n}^{\beta_{n}} | 2af71e40db9a1c2f | train | human | |
\frac{d\rho}{dt}=\Omega\times\rho | 15e172dac0b0ef84 | train | human | |
lim | be93c49137770bef | train | human | |
\tilde{e}_{i}B\subset B\cup\{0\} | 203b187ba75bb9af | train | human | |
\sqrt{\rho} | 0b44c30b5d5573ae | train | human | |
\sigma=\frac{\epsilon\epsilon_{0}\psi_{0}}{\lambda_{D}} | 7ffd21b25c45606f | train | human | |
\tilde{\pi} | d6d4144d6a268d89 | train | human | |
(A^{*})^{*}=A | e129c784c96728dd | train | human | |
\frac{dz}{z} | 5872191a17e36c6d | train | human | |
E_{(v,N)}[n] | c08592aba8e8c695 | train | human | |
(\begin{matrix}8\\ 4\end{matrix}) | ce8ff12af3b47cae | train | human | |
N=\{S\} | 9c852e9300a3f699 | train | human | |
\frac{3\cdot\frac{v}{c}cos\theta_{m}}{\sqrt{3-\frac{v^{5}}{c^{5}}}} | b8e21325da40a781 | train | human | |
\sqrt{5} | 33e7ea08a938b150 | train | human | |
m_{rel}=\frac{E}{c^{2}} | bd25c383ebba167e | train | human | |
\bigcup_{\beta<\alpha}A_{c_{\beta}} | d29e8356bc492061 | train | human | |
S_{k}=\sum_{i=0}^{k}\frac{n_{k}}{10^{k}} | 777896ede0c9b016 | train | human | |
y=-\frac{e}{c\gamma}\int A_{y}d\xi | f0b7ef283aec246d | train | human | |
\beta=\frac{k\Delta t}{2} | 5fba168ccfb06d71 | train | human | |
\frac{dI}{dt} | 96b0478e56a84b51 | train | human | |
S=\frac{c^{3}kA}{4\hbar G} | c7290335b2422dbb | train | human | |
v=\frac{m_{1}}{m_{1}+m_{2}}u_{1} | 39dee85c3db6acc8 | train | human | |
M=(\begin{matrix}0&0\\ 1&0\end{matrix}) | 9ddf6d8e3fa758b3 | train | human | |
{176^{120}}^{138}\cdot99^{\sqrt{428}} | 934dcf9e1b6c454d | train | human | |
lim_{x\rightarrow\infty}\frac{ax^{a-1}}{e^{x}}=\frac{\infty}{\infty} | d1fa95610f2c0fe6 | train | human | |
[\begin{matrix}a&b\\ c&d\end{matrix}] | af6c7e6776da4334 | train | human | |
n=\prod_{i}p_{i} | 10f077c1a3a9b9dc | train | human | |
(\frac{D_{1}}{D_{2}})^{5} | 33a8304917f6ff76 | train | human | |
\frac{dy}{ds}=1 | 2b465126aa6d21a7 | train | human | |
(\frac{96}{387})^{\frac{10}{2}} | 64bd0b95df8b678d | train | human | |
7^{7^{7^{7^{7^{7}}}}}+3 | 6bec74144f849bad | train | human | |
\tilde{B} | c5c9a7a5a0b21c39 | train | human | |
=\frac{G_{a}}{4\pi}\lambda^{2} | 952bc88341406941 | train | human | |
\lambda_{1}=\lambda_{2} | 2056b5ce994ca6b6 | train | human | |
\sqrt{y} | a615494d2124dd96 | train | human | |
(\begin{matrix}n\\ m\end{matrix}) | 30233d67e8a6e7d4 | train | human | |
C_{6v}^{3} | f824ad36b7a635cc | train | human |
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