image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
-\frac{2}{3} | cbe2ce72b21e738b | train | human | |
\tilde{u}(x) | da7876502b2ab41d | train | human | |
d_{e}=\frac{d_{b}}{\sqrt{\frac{d_{b}}{d_{v}}}} | 4c52a785916f1444 | train | human | |
lim | 9eaf2050bf0a2301 | train | human | |
Q=\sqrt{\frac{{N_{8}}^{2}V_{1}}{N_{2}N_{5}V_{2}}} | cd31f05b2fe7d263 | train | human | |
|\frac{x}{\sqrt{1-x^{2}}arcsin(x)}| | cc320b658d155a0f | train | human | |
t=\int\frac{dy}{iy+F} | 253d267f6e9167b2 | train | human | |
\sqrt{s}\cdot\sqrt{s}=s | 14a3998a2be7f52b | train | human | |
erf(\frac{z}{\sqrt{2}}) | ab5b39b2dbf9e1bd | train | human | |
\frac{\frac{340}{7}}{169-1^{6}} | 9138f603e810692c | train | human | |
\prod_{d|n}f(d) | 31962e1c36065508 | train | human | |
0\le y_{4}<n_{i,j,k} | 26040da9e009123f | train | human | |
{344^{2}}^{\frac{343^{228}}{9}} | 99bc89824f50c07f | train | human | |
(\begin{matrix}e&0\\ 0&0\end{matrix}) | b032c7f6ecafe7d7 | train | human | |
\sum_{n=1}^{\infty}n|a_{n}|^{2} | 2c373b05610b40de | train | human | |
\hat{V}_{s} | 238f69c977fc7c63 | train | human | |
p=\pm3 | 8b560bb73ab14672 | train | human | |
\frac{1}{100}\sum_{k=1}^{n}\frac{1}{k} | 1b97ea033b8aa486 | train | human | |
\frac{24/\sqrt{3}}{{\sqrt{169}^{98}}^{5}} | b78c63580b4173b7 | train | human | |
\frac{\frac{7}{4}}{\frac{6}{377}} | 33cd26ec18ebc2eb | train | human | |
n+\frac{1}{3} | 61e7976329017486 | train | human | |
=lim_{x\rightarrow\pm\infty}\frac{1}{x}=0 | 2080626317de7e3e | train | human | |
\sqrt{\phi} | 8627013641befe90 | train | human | |
\hat{x}=i\hbar\frac{d}{dp} | d0a312ad6d985ec7 | train | human | |
5^{\sqrt{429}}\cdot7\cdot\sqrt{111}\cdot397 | 56955a69d46ba1a1 | train | human | |
\frac{i}{k-1} | e3e8d6ef58ec3720 | train | human | |
\gamma_{0}=[\begin{matrix}0&1\\ 1&0\end{matrix}] | 14abe9a6e572fddc | train | human | |
\frac{\frac{\frac{238}{9}}{4}}{6-248-5} | d2e45d38a3b3fc5b | train | human | |
[0,1,0,0,0] | ebb06fdb1e9af1f1 | train | human | |
B=\frac{i_{0}e}{\sqrt{1-\frac{e^{3}}{c^{3}}}} | 40b3e9ff1dc6568e | train | human | |
\frac{1}{\sqrt{w_{1}^{2}+w_{2}^{2}+...+w_{M}^{2}}} | 03557d5bd36ac993 | train | human | |
\frac{\hat{\theta}-\theta_{0}}{se(\hat{\theta})} | 078af90b4fb3313b | train | human | |
[\begin{matrix}0&1\\ 1&-n\end{matrix}] | 9a140ee773fdef12 | train | human | |
\int_{x}^{1}f^{\prime}(t)dt | bccfa3cf5c2cfe62 | train | human | |
5/5\cdot9^{(365-1)+299} | 71d271cd376d6b40 | train | human | |
a^{a^{+^{+^{+^{a}}}}} | 8dd9ab9f0aaea9cc | train | human | |
\frac{log(1-p)}{log(2/3)} | b9166083b846e06c | train | human | |
x(\underline{n}) | 96a30c146471be9d | train | human | |
d(k)=x(k-i-1) | 21646c1cc218ded8 | train | human | |
\frac{R_{f}}{R_{b}}=\frac{2A_{0}+3}{A_{0}-3} | a4fd9b374a58b6d3 | train | human | |
\hat{L}=p(x|\hat{\theta},M) | ab9b7b77200cd45d | train | human | |
\upsilon_{c}=\frac{8}{\sqrt{L_{\frac{8}{0}}C_{\frac{8}{0}}}} | 75fd1b9ec263e9f2 | train | human | |
s\{\begin{matrix}6\\ 4\end{matrix}\} | f86a629c17215a12 | train | human | |
y^{2}+y+\frac{1}{4}=1+\frac{1}{4} | ce0607d8cdf1d45a | train | human | |
P=\frac{1}{2}qI\Delta fR | 4fbf306bc363b6d8 | train | human | |
2\sqrt{n} | be4d9d5596a69c4b | train | human | |
\frac{d}{da} | 92e83a4958394146 | train | human | |
\theta\approx1.22\frac{\lambda}{d} | 3d09ddeccc3045ba | train | human | |
\int_{0}^{\infty}f_{a}dx | 3f570093a3276a4c | train | human | |
|A^{\prime}\rangle_{C} | bc80794a4db58b26 | train | human | |
(\frac{\frac{335}{327}}{10})^{\frac{389}{143}} | fd3e954f764f2e32 | train | human | |
-\int e^{u}cos(-u)dx | c5be0bbd7e4c8e8b | train | human | |
(\frac{1}{249}+10)^{(2\cdot103)^{305}} | e67d9972423cf5bf | train | human | |
\frac{5}{18}>\frac{4}{17} | 99153ee3f9804745 | train | human | |
x\frac{1}{dx}+\frac{1}{x}\frac{1}{dx}=y\frac{1}{dy} | f66fab5f20458317 | train | human | |
|q|_{p}:=e^{-v_{p}(q)} | 5b4a1b024e5ea911 | train | human | |
H=H(q,p,t) | 655f455a46a029ff | train | human | |
1-\frac{t}{2}-\frac{t^{2}}{8}+O(t^{3}) | 5bcac526396438b2 | train | human | |
g(x)=\int f(x,y)dy | 4df8cedde6edf9b9 | train | human | |
(4/10\cdot2\cdot\frac{221}{8}/\sqrt{1}) | 58f3165c745a2973 | train | human | |
W_{\alpha}\equiv\overline{D}^{2}D_{\alpha}V | ba592fca32e32589 | train | human | |
f_{i}=i\frac{c}{L} | 119c21651ec48afa | train | human | |
x\notin C | c3b1f5fc8bbbb0cd | train | human | |
(\sqrt{10}\cdot3)\cdot\frac{375-26}{96} | a8d974fc673dd976 | train | human | |
x_{0}\notin\partial E | ee6c588a61b3b5b2 | train | human | |
\frac{q}{A}=-k\frac{dT}{dx} | b813473cfad69ad8 | train | human | |
u^{\alpha}T_{\alpha\beta}u^{\beta}\rightarrow T_{00} | 68c01370b4755c4c | train | human | |
s\{\begin{matrix}2\\ 7\end{matrix}\} | 11dd820e3d843b68 | train | human | |
[\begin{matrix}3&4&4\\ 4&5\\ 6&7\end{matrix}] | 7f9e0c968e2fdfe2 | train | human | |
\frac{dF}{dx} | 55b4bf24473f6bf2 | train | human | |
Pr(X=n)=\frac{1}{2^{n}} | bcbd8167399fc6f3 | train | human | |
(138+406)^{\frac{2}{10}} | 741d8aa264e12010 | train | human | |
O(\sqrt{|V|}) | 2d4d6f6dfb2332fb | train | human | |
\Delta V=A\times ln(\frac{i}{i_{0}}) | 23beca822ff45278 | train | human | |
{(303/469)^{2}}^{\frac{9}{3}} | aef4fba25ba51cff | train | human | |
p(z|x)=\prod p(z_{i}|x) | b5bd59c82b976461 | train | human | |
s\notin T | ef0684e1459e765b | train | human | |
f(i)\notin g([m]) | ea58445b571d0335 | train | human | |
r=\frac{|n-a^{2}|}{2a\pm r} | ec07be47a022d0be | train | human | |
\nu=1-\frac{n}{2pn\pm1} | a15b69d2624e79f1 | train | human | |
-1<\delta_{1}<\delta_{2} | abbea46bbd98c92e | train | human | |
5^{\sqrt{429}}\cdot7\cdot\sqrt{111}\cdot397 | af38dd3cb0445148 | train | human | |
2^{2^{2^{2^{2}}}}+9 | 15c06c2ed0c14cfe | train | human | |
(m,\tilde{m},t) | 632ba4c94b1e167d | train | human | |
2\theta_{0} | 320e50dde6a860ee | train | human | |
-I=[\begin{matrix}-1&0\\ 0&-1\end{matrix}] | 13d08a9d216ac6ee | train | human | |
\frac{df}{dz}=g | 3ab90f87968109d7 | train | human | |
\frac{{\sqrt{1}^{8}}^{10}}{468^{372}} | 1abb08a2b76fd2c1 | train | human | |
(\begin{matrix}4\\ 2\end{matrix})=6 | f2bd49b085cf684a | train | human | |
\frac{k}{l}\le\nu | 1965a0eb813b5ffe | train | human | |
\frac{v^{2}}{R}cos(\theta) | 076220bde550eb74 | train | human | |
\vartheta(n)=\frac{1}{\sqrt{1-\frac{n^{7}}{c^{7}}}} | 2d3dac327c41f8e9 | train | human | |
\frac{u\overline{u}+d\overline{d}-2s\overline{s}}{\sqrt{6}} | b7d62f72347abec4 | train | human | |
\frac{13\cdot203}{(92+374)} | ee3f72b63528b3c3 | train | human | |
M^{-1} | 48e97f9864e67a88 | train | human | |
O(\frac{N}{B}) | 894ad1937c97dca7 | train | human | |
g(x)=\frac{x-f(x)}{||x-f(x)||} | d598914e7ebb3ad1 | train | human | |
\overline{p}p=m^{2} | e36f8b93b079203b | train | human | |
\frac{\partial f(x,y)}{\partial x}=0 | db6956df602c110e | train | human | |
n\approx\sqrt{2m\times p(n)} | e570dbe73411cc81 | train | human |
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