image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\chi=(E_{i}+E_{ea})/2 | 1d953809404da357 | train | human | |
\frac{\frac{4-5}{341}}{\frac{\frac{62}{5}}{4}} | 6789db571c403ddf | train | human | |
\frac{X}{logX} | c7bbb5e0415f9eb0 | train | human | |
b_{i}=\frac{1}{N+1} | af43c4f98a78019e | train | human | |
\frac{\frac{8}{4}}{101-3} | a6b4d3a50c1c52fe | train | human | |
[\begin{matrix}0&0\\ 1&-1\end{matrix}] | c7782d5020fbf43d | train | human | |
(328\cdot9)+(287^{221}+473) | dbd0d977aa61186a | train | human | |
\frac{dL(F)}{dF}=\frac{x(F)}{\mu} | 83e95a814487e2e5 | train | human | |
\frac{(330^{7}-160)}{\frac{253}{419}+2} | 41fcc1af52116711 | train | human | |
S^{\prime}=S(E(r^{\prime})) | 57bf7a6dfe322dbf | train | human | |
(\frac{5}{18})^{{6^{\sqrt{368}}}^{1}} | 7a5c6a00ff708cd4 | train | human | |
2\pm\sqrt{3\pm i} | 23c92a9b4f262258 | train | human | |
\sum\psi_{n}^{*}\psi_{n}=1 | ecf487e2e21b0aaa | train | human | |
r\in\{0,1\}^{\lfloor log^{2}n\rfloor} | 8209507c6fdddb79 | train | human | |
D^{(r)}X^{n}=(\begin{matrix}n\\ r\end{matrix})X^{n-r} | f4976c02d912734b | train | human | |
\frac{1}{2}\sum_{i}m_{i}v_{i}^{2} | 3ff173d432e60a14 | train | human | |
\frac{0.693}{r-r^{2}/2} | 0fe3c31ea661e4b2 | train | human | |
\overline{X}_{1}-\overline{X}_{2}=0.095 | 818f0714f98af7aa | train | human | |
\xi_{b_{min}}^{d}(k,i) | 35a8135c0a613384 | train | human | |
L=\mathbb{Q}(\sqrt{d}) | 812dac0f42761861 | train | human | |
\frac{\omega^{k}}{k!} | 62edf8c6a615c9e1 | train | human | |
x^{2}-\sqrt{x}-14=0 | e11d952e5e8a7c81 | train | human | |
C_{v_{1}}^{S}=\frac{1}{\epsilon_{S}^{2}-\epsilon_{S}^{1}} | 4b00134de77835c1 | train | human | |
\frac{dA}{dr}=C | 632035c41a8c836a | train | human | |
\sqrt{x_{n}y_{n}} | 200085547eea055c | train | human | |
\frac{\frac{131}{212}}{399^{6}-96} | 386036d1382aa3fa | train | human | |
n![z^{n}]g_{m}(z)=[\begin{matrix}n\\ m\end{matrix}] | dcac6d609d818e72 | train | human | |
\sqrt{g} | 8b5e0fe8f327f873 | train | human | |
\frac{d\varphi}{ds}=\frac{h}{\rho^{2}+n^{2}} | 766fd300ab0d533b | train | human | |
\frac{\partial f}{\partial p} | db810973f734a8da | train | human | |
|\frac{3i}{5}|^{2}=\frac{9}{25} | 902ab8da1e169254 | train | human | |
sin\theta=\frac{b}{c},cos\theta=\frac{a}{c} | bc20ba08d70f29ec | train | human | |
-T(\frac{\partial P}{\partial V})_{S} | 49586855f34db411 | train | human | |
r_{i}^{\eta+1}=\frac{u_{i}}{\sum_{j}m_{ij}^{(2\eta)}} | e51503c978f43e83 | train | human | |
dw_{j}=\frac{dx_{j}v_{j}}{\sqrt{1-\frac{v_{j}^{6}}{z^{6}}}} | 0a38d44bcde6a795 | train | human | |
u=\frac{q_{k}}{p_{k}} | 6741ce0ced3c7839 | train | human | |
n=n_{0}-\frac{C_{0}}{m+m^{\prime}} | 27b622085027790c | train | human | |
\frac{1}{2}\rho v^{2}+P=const. | edd5a1823412a16b | train | human | |
\frac{d[C]}{dt}=k_{2}[A] | 984557af8ae3fdea | train | human | |
e_{\delta}^{\alpha} | f6463853b74aa204 | train | human | |
\int Fdx | 7775cb565eff2a64 | train | human | |
{{3^{\sqrt{9}}}^{468}}^{(\frac{431}{38})^{7}} | 421fa251480fa4cc | train | human | |
\frac{dB}{dz} | 22c7ff754a8f8b75 | train | human | |
t_{7}^{\prime}=\frac{t_{7}-\frac{m}{k^{2}}d_{7}}{\sqrt{7-\frac{m^{2}}{k^{2}}}} | 8daf23add130b38d | train | human | |
\sqrt{n}logn | 54a0b41fd0a24b15 | train | human | |
x,y\in V,(x,y)\in E | 7a38daeaa757ce7c | train | human | |
\sqrt[3]{2}\approx1.26 | 71323f652145804c | train | human | |
\sum_{n=1}^{\infty}\frac{1}{n}e^{-ns} | a2c73b67bc4e4492 | train | human | |
F=\frac{N_{1}\cdot N_{2}}{d^{2}} | f3af485d2fc41ca7 | train | human | |
\lambda_{1}+\cdot\cdot\cdot+\lambda_{n}=1 | 8af22dad49839ff9 | train | human | |
P=[\begin{matrix}1&0\\ 0&0\end{matrix}] | e52967b72d0dc52d | train | human | |
\int_{X}dxf(x) | 0018c52961c51623 | train | human | |
W_{F}=\frac{2}{3}M_{F}=\frac{2}{5} | 17722ea11956867f | train | human | |
\int_{0}^{1}f(x)dx=\infty | ce51b2755a58885e | train | human | |
\sqrt{1+tan^{2}\theta_{o}} | 57952994aaa06093 | train | human | |
\frac{\partial\rho_{S}}{\partial t}=0 | 4427786405cfc3a3 | train | human | |
\pi(x)\sim\frac{x}{log(x)} | b93fe1a1e43c812c | train | human | |
[\begin{matrix}3/2&0\\ 0&3/2\end{matrix}] | 5583b17e8f4bf0f9 | train | human | |
\sqrt{2\pi e} | d1029eec8ecb7184 | train | human | |
\frac{t^{\prime}}{t}=(\frac{l^{\prime}}{l})^{1-N/2} | fa5096c6f56ca148 | train | human | |
10^{\sqrt{7}}+\frac{\sqrt{8}}{91} | 9c92a29b55c2cfb0 | train | human | |
A_{\mu}=\frac{Qr^{3}}{r^{4}+a^{2}z^{2}}k_{\mu} | c38ee287c92a070b | train | human | |
\frac{\alpha}{1+x}\sum_{k=0}^{\infty}(\begin{matrix}\alpha\\ k\end{matrix})x^{k} | 2eab5ecaaf624fc2 | train | human | |
abc | 5452a53ff24bd09f | train | human | |
\zeta_{G}(\alpha_{1})>\zeta_{G}(\alpha_{2}) | 3d28ab0aaaf99bf1 | train | human | |
(\begin{matrix}n\\ q\end{matrix}) | 625ad6979753c695 | train | human | |
B(v)=\bigcup_{i=0}^{k-1}B_{i}(v) | d04ff025203ebccb | train | human | |
{Z_{0}}^{2}-Z_{0}\delta Z=\frac{\delta Z}{\delta Y} | 2cbc645cd3d3358e | train | human | |
\tilde{C}_{5} | 283272dd0d14a9f8 | train | human | |
S_{\frac{1}{2}}(x,y) | 2dfb7328a1efe9a5 | train | human | |
(\begin{matrix}X+n-1\\ n-1\end{matrix}) | 1775c9184d59dc73 | train | human | |
|f_{t}(x,t)|\le b(t) | a319bd5342f0cc01 | train | human | |
\frac{1}{T}=\frac{dS}{dE} | 537a0949db317b10 | train | human | |
|\hat{f}| | d78f9c3b16b6c91b | train | human | |
\frac{dv}{dz} | d6c123f66b68c89c | train | human | |
C(2,2)=1 | 13dbfa44b9b63aa5 | train | human | |
P_{n}(1)=1 | 97727c665eb6c512 | train | human | |
p=\frac{m_{8}f}{\sqrt{5-\frac{f^{2}}{n^{2}}}} | 3215ff786d85b66d | train | human | |
\langle\hat{T}\rangle | 2dc21c6ad1484d85 | train | human | |
\tilde{S}_{n} | d2ebb20b6cca958d | train | human | |
w_{9}^{\prime}=\frac{w_{9}-\frac{v}{c^{4}}o_{9}}{\sqrt{9-\frac{v^{4}}{c^{4}}}} | c103963a1a381287 | train | human | |
\langle\omega,\eta\rangle=\int_{M}\omega\wedge*\eta | 3afcba161d8ec414 | train | human | |
\tilde{H}^{*} | 93d7d20e80d09669 | train | human | |
F[y]=\int_{E}ytdt | eecb7728fefb0c12 | train | human | |
I=\prod_{A\in A}h_{A} | ce48cda86a4cf0ff | train | human | |
Z_{i}=\frac{\hat{p}_{i}\cdot\overline{p}}{\sqrt{\frac{\overline{p}(5\cdot\overline{p})}{r_{i}}}} | 741ad92e3638a552 | train | human | |
\frac{M-E+S}{4} | fedd196f7eece4b0 | train | human | |
L_{i}=\epsilon_{ijk}X^{j}P^{k} | 7f97961481bfc5a7 | train | human | |
F=\frac{\gamma mv^{2}}{r} | e71995a6ddb98c9d | train | human | |
|\Delta|<1 | 8c3d3f23d6583b8e | train | human | |
n_{\infty}\cdot n_{o}=-1 | 60313b71ebac1e63 | train | human | |
E=\int Fudt | 50b7badf924f0e2b | train | human | |
(\frac{449\cdot\sqrt{4}}{259}-184+246) | 64016b0fdb901a01 | train | human | |
a_{4}^{a_{0}^{-^{-^{a_{n}}}}} | 6a3b09f8dc95f2cf | train | human | |
W_{\mu}\approx-2g_{[\mu\nu]}^{,\nu} | 9f43042fb154713f | train | human | |
1:\sqrt{\varphi}:\varphi | 2ac121ac64f0bef8 | train | human | |
c=\sqrt{a^{2}+b^{2}} | 1ed46591337bd062 | train | human | |
8\sqrt{3} | b91932eecf12d6fe | train | human | |
\Delta p=\frac{2\sigma_{s}}{R_{s}} | b3b967e6c2597ac5 | train | human | |
\frac{p_{A}A}{p.q}=\frac{p-c}{p}.e_{A} | 8a98ace84e254f87 | train | human |
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