image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
s\{\begin{matrix}2\\ 5\end{matrix}\} | aa72f1818e6d18ac | train | human | |
i^{\mu_{z}} | ebf4dd71a17e777b | train | human | |
(0.5)^{1}=0.5 | ded6719e3368968b | train | human | |
\frac{\frac{9}{1}}{10+2} | fc701d3a89281bf2 | train | human | |
\frac{7^{190}}{\sqrt{4}/8} | d19b6367b8b59b59 | train | human | |
||f||_{\infty}\le\frac{2}{3} | 1441de7a1df81956 | train | human | |
{19^{1}}^{\frac{272}{298}} | 89196301143011be | train | human | |
u:=\int_{a}^{b}v(t)dt | f7b8f9c0e32401e5 | train | human | |
\sqrt{b^{2}-4ac} | da013f06d1f405a4 | train | human | |
\gamma(u)=\frac{9}{\sqrt{9\cdot\frac{u^{2}}{n^{2}}}} | c7c368580aced87e | train | human | |
\sqrt{2}-1 | c7257cb986851462 | train | human | |
X=\prod X_{i} | 7a55f3f4ec2948de | train | human | |
\frac{\sqrt{57}}{3} | a3f8f7ee5d9fd922 | train | human | |
\frac{1}{\sqrt{1\cdot\frac{v^{6}}{k^{6}}}} | 4159d247b388ff70 | train | human | |
W=N!/\prod_{i}N_{i}! | 69bd61ea80683cab | train | human | |
\sqrt{8/5} | 7f3a270e771d72f8 | train | human | |
\sigma(X)=\sqrt{Var(X)}: | 314522bc69916dba | train | human | |
P_{j}^{MAP} | 2ce043e175e98ba4 | train | human | |
(\begin{matrix}n\\ k\end{matrix})=\frac{n^{\underline{k}}}{k!} | d813a926bd5d018f | train | human | |
\frac{m_{1}(u_{2}-u_{1})}{m_{1}+m_{2}} | 6175d923d04a16d3 | train | human | |
\Delta z^{\prime}=\frac{\Delta z}{\sqrt{8+\frac{v^{2}}{x^{2}}}} | 80a4efad28053716 | train | human | |
C_{p}=\frac{C_{p0}}{\sqrt{|1-{M_{\infty}}^{2}|}} | 387ac403bec2a718 | train | human | |
MPL=\frac{\partial F}{\partial L} | 06b3f7f16ce822fc | train | human | |
S | 6af150939550d123 | train | human | |
\frac{(50\cdot48)}{370^{311}} | 8567370ac7a1eef4 | train | human | |
\frac{\partial^{2}s}{\partial t^{2}}+\frac{\partial^{2}u}{\partial x\partial t}=0 | 95fbaab4d96220a0 | train | human | |
(\begin{matrix}n\\ 2\end{matrix}) | c1863418e9b0bd18 | train | human | |
\hat{O} | 177b5e16b61e06e3 | train | human | |
[g_{1},h_{1}]\cdot\cdot\cdot[g_{n},h_{n}] | 93f616bbc10f0e47 | train | human | |
m_{xa}=\frac{\overline{xa}}{\sqrt{\overline{x^{2}}\overline{a^{2}}}} | 95a22859fdc3e564 | train | human | |
u=\int\frac{du}{dx}dx | 639dcb6c18ba6c2f | train | human | |
\frac{R_{f}}{R_{b}}=\frac{2A_{0}+3}{A_{0}-3} | 116fd10d74225e89 | train | human | |
\tilde{d}=\frac{ncp}{\sqrt{n}} | a6aa68398b2f4fe6 | train | human | |
\sqrt{\pi} | 44e2ffa989a946c5 | train | human | |
3^{(\begin{matrix}n\\ 2\end{matrix})} | ccc5b224748e96cd | train | human | |
I^{2}L^{\prime}v | d5ddb8d99fd19643 | train | human | |
\pi=\frac{C}{d}\approx3.14159 | 865e1cd7525acf81 | train | human | |
(0,1) | d7d3b9d5a7e5126a | train | human | |
\frac{dm_{a}}{m_{a}(t)}=-kdt | b904fb3924df689e | train | human | |
|xtan(x)| | 5b4d1dcc57685212 | train | human | |
\frac{\partial L}{\partial f_{t}} | 96ff9eeb3c5147e1 | train | human | |
u | 51fbd0040b82e1f7 | train | human | |
\tilde{u}(x) | 2312b6403a7f2b1b | train | human | |
\hat{M} | 4d4f55e9361a8d61 | train | human | |
\epsilon(q)=1+\lambda^{2}/q^{2} | 4e71eec9cab2fa72 | train | human | |
\prod_{x\le k}(n+x) | 406f5152716aa19e | train | human | |
(\begin{matrix}13\\ 10\end{matrix})=(\begin{matrix}13\\ 3\end{matrix})=286 | 4e4cf979a1f05323 | train | human | |
S:x\mapsto\frac{x}{x+1} | 4de700b28b88dbda | train | human | |
\mu_{t}=-asin\theta | 39e7ad298921246c | train | human | |
(\begin{matrix}e&0\\ 0&1\end{matrix}) | 413d67ec4d7d89d0 | train | human | |
(\frac{458}{3})^{\sqrt{370}-10} | 2aae7cd202f0de2d | train | human | |
(\begin{matrix}8\\ 3\end{matrix}) | f3f9fdbe04630ccd | train | human | |
\hbar=2m_{e}=e^{2}/2=1 | 96cc3e458bf4e970 | train | human | |
\sqrt{7} | a738998e80466142 | train | human | |
\frac{t^{n}}{n!} | e6e3570d21588f8f | train | human | |
\frac{\frac{2005!}{x}}{2005!} | 0a603be93a20438f | train | human | |
\frac{d}{dt}f_{1}(re^{it}) | 5cbaebfed7fd067b | train | human | |
Z_{e}^{\infty}=2||1+1=\frac{5}{3} | 65192645316b0031 | train | human | |
[-1/2,1/2] | 812f1bf12a67f8c4 | train | human | |
(\begin{matrix}I&0\\ 0&F\end{matrix}) | ab848d66c259401f | train | human | |
S_{E}=\sum_{k=1}^{n}S_{k} | 7592459fd2a6f8d4 | train | human | |
2x\sqrt{1-x^{-1}}+2x-1 | e37d76a9b4f5c50d | train | human | |
\hat{K} | 178d876e05489be7 | train | human | |
\psi=-\frac{A}{r^{2}}sin(2\theta) | 5d5cc7f4681082fe | train | human | |
\sum_{i=0}^{2}(\begin{matrix}4\\ 2i\end{matrix})(\begin{matrix}6\\ 4-i\end{matrix}) | daf5640b3ea115d7 | train | human | |
\hat{\theta}(X)=\frac{n\overline{X}+a}{n+\frac{1}{b}} | e053e330aab37815 | train | human | |
(\overline{x}) | 9781153ff81fbb6e | train | human | |
p<P<p+dp | 2dfe2d18660f39fa | train | human | |
\tau_{w}=\frac{1}{8}fkpMa^{2} | a7b963fa82ff443b | train | human | |
\int_{0}^{t} | e47154951cfb5f1e | train | human | |
5\sqrt{2} | 7dc58c7d294231c8 | train | human | |
\tilde{H}/\tilde{H}^{\prime}\simeq H/H^{\prime} | 5ab37281c351504b | train | human | |
3a_{1}^{2}a_{2}^{2} | e64b9e6b7cc30efd | train | human | |
F[n]=T[n]+U[n] | ff7d2a4929212d88 | train | human | |
\delta\int pdq=0 | 31865278c86000e0 | train | human | |
\hat{y} | a0e0f23bb5baa71c | train | human | |
(\begin{matrix}-1\\ 0\end{matrix}) | bfff89bd60f2f9a0 | train | human | |
mse[\lambda x.f(xx)] | 529fd82a989d4ea0 | train | human | |
((\frac{5}{7})^{\sqrt{215}})^{260\cdot410^{207}} | e118e5069caa487d | train | human | |
=21\sqrt{3} | b1a06081622c5d39 | train | human | |
\tilde{S}(q,\omega) | 0ae002779a76dda4 | train | human | |
J=\frac{\Delta P}{(R_{m}+R_{c})\mu} | b2d8cd26bb4db444 | train | human | |
(\frac{\sqrt{1}}{288})^{4}\cdot9-9^{\sqrt{10}} | 7457eae12b70966c | train | human | |
\int d^{3}r | adabc56671004ef9 | train | human | |
b=\frac{|r|}{\sqrt{\frac{1-r^{7}}{x-7}}} | e3e63a23b53c0da2 | train | human | |
\tau=2/3 | ac1901d320e4ec7e | train | human | |
v=\frac{I}{nAq} | 8aab4192bd2e4dd6 | train | human | |
[\begin{matrix}1&2\\ 1&1\end{matrix}] | 001d4a58ade080ad | train | human | |
C=\frac{1}{sin^{2}\theta} | c7c79f1cead4dbe4 | train | human | |
n=(\begin{matrix}2k-1\\ k\end{matrix}) | edc79c6d318b2a93 | train | human | |
\int f(x)d_{h}x | 83d8805ea08f9cee | train | human | |
\sigma=\sqrt{\frac{p(1-p)}{n}} | c2ec61c2f3fd6731 | train | human | |
(\begin{matrix}n\\ q\end{matrix}) | 96de45e9c05e0744 | train | human | |
A_{r}=\frac{G\lambda^{2}}{4\pi} | 3ed707f8b44cc9ac | train | human | |
10^{\frac{1}{5\sqrt{k_{J}}}}\cdot\frac{5.3}{Rv\sqrt{k_{J}}} | c91e17c859957052 | train | human | |
\frac{4}{269}/3-{386^{38}}^{9} | d3fa55b97b847b46 | train | human | |
x\notin\{y:d(x,y)>r\} | 3dfe5a8804441a9d | train | human | |
K_{k}(\tilde{M}) | 10d744a8854447aa | train | human | |
\sqrt{\Psi} | 27a0041348dcc49a | train | human | |
\tilde{O}(log^{5}q) | 0d9be57858ce5955 | train | human |
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