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}5\\ 3\end{matrix}\} | fd38cf91bbe4af7e | train | human | |
\int d\Omega | 236ee8c875e0a006 | train | human | |
\overline{K}_{n} | 3d8031cc0e583c8b | train | human | |
=|v_{1}-v_{0}| | e0a0f253afd23d5f | train | human | |
k=k_{B}=R/N_{A} | 86d8190c8b2d90ce | train | human | |
Q=\sqrt{\frac{{N_{8}}^{2}V_{1}}{N_{2}N_{5}V_{2}}} | c8a37038b185ffdf | train | human | |
\frac{dh}{dt}=0 | 806770908023030b | train | human | |
\tilde{g} | dd70b6fe54a21399 | train | human | |
\hat{f}:E^{\prime}\rightarrow E | a6e972ba5e80772f | train | human | |
E_{n}=\frac{n^{2}\hbar^{2}}{2mr^{2}} | ed554e87cb698eb6 | train | human | |
\int_{b}^{a}f(x)dx | 920cf26c74dd3045 | train | human | |
t^{t^{\cdot^{\cdot^{\cdot}}}} | eade78362ad4b671 | train | human | |
dn-(\begin{matrix}d+1\\ 2\end{matrix}) | 41d5fa862d09db73 | train | human | |
(324\cdot7/5)^{(9-388)} | ffc49e11066209d5 | train | human | |
(\begin{matrix}1&N\\ 1&1\end{matrix}) | 87641b4e27c7a616 | train | human | |
\int\frac{1}{u}du | 65f9d8cf029f91b5 | train | human | |
\frac{\partial p}{\partial T}|_{(V,T)} | 7204b782c61c879f | train | human | |
\frac{dN}{dt} | 910c87a4cf0b0ec2 | train | human | |
-log|f| | 23e5c55dbea9f430 | train | human | |
M_{i,j}\in\{0,1\} | 5dfe759e84c9d01d | train | human | |
\frac{dp_{o}}{p_{o}} | 1eb947f559abbab7 | train | human | |
\tilde{G}_{2},\tilde{F}_{4},\tilde{E}_{8} | 75a00379a4faceb6 | train | human | |
g=\int Gdz | 461b35ef698749a3 | train | human | |
GM=\sqrt{2\cdot8}=4 | d1eb2c9df1f88642 | train | human | |
\sigma(u)=\frac{0}{\sqrt{0\cdot\frac{u^{2}}{c^{2}}}} | 5bc83e6e74b03e29 | train | human | |
k=\frac{c}{\sqrt[4]{+\frac{d_{1}}{6}}} | 58f24a8af01a2e25 | train | human | |
(\frac{10}{164}+7)^{\frac{10}{451}-\sqrt{21}} | 8f46c2fffa957020 | train | human | |
\tilde{\psi}(\alpha)=\psi(\alpha) | 80da1374e50e2d72 | train | human | |
s\{\begin{matrix}5\\ 3\end{matrix}\} | 3de064a5fb1bf16e | train | human | |
\gamma\equiv g\frac{q}{2m} | 7dd1633b74b8d00c | train | human | |
2\omega_{p} | 1979e5e18e59b58c | train | human | |
{78^{5}}^{26-\sqrt{9}+\sqrt{360}} | 49345beafee94a71 | train | human | |
\frac{d^{2}y}{dx^{2}} | 02c2e02e77c206d3 | train | human | |
b=\frac{m}{m+1} | 49fa2de108c0180e | train | human | |
\tilde{0} | 444b609a98bbb3c5 | train | human | |
\hat{e}=y-X\hat{\beta} | e2b6b663506bb485 | train | human | |
-\sqrt{\frac{4}{35}} | 301db9d5a7eb8016 | train | human | |
Q=\frac{180^{\circ}+\beta}{180^{\circ}-\beta} | 7b5c174eb5ecd5b2 | train | human | |
(\frac{135}{294})^{9/\sqrt{359}} | 828c35d1f46cde68 | train | human | |
G_{m}(R)=R^{\times} | b324f5ebc02fede5 | train | human | |
{{11^{9}}^{9}}^{\frac{6^{7}}{151}} | fa3f2a4a6cccf355 | train | human | |
\epsilon_{ij}=\frac{1}{2}(u_{i,j}+u_{j,i}) | 1a5e6bf633343f67 | train | human | |
(\begin{matrix}1&1\\ -a&-c\end{matrix}) | 7e45199568e9e343 | train | human | |
(1+j)(1-j)=0 | 03d44f995a00d19b | train | human | |
\frac{d\theta}{dt}=\frac{u}{rcos\phi} | 7b70e1d7249c2df0 | train | human | |
v\ne u_{1}^{x+\alpha y}remP | 3a733dbd3512206e | train | human | |
w_{u}^{h} | 1af248a78c0349b1 | train | human | |
A^{-} | 8bbf364465768ddf | train | human | |
\int_{0}^{1}x^{1/m}dx | 637969d4fee06f28 | train | human | |
\underline{x}\in\mathbb{R}^{n} | d8799d5b09f2eff9 | train | human | |
x^{d}-1=\prod_{m|d}\Phi_{m}(x) | bc689120b20260b9 | train | human | |
\frac{x_{1}}{d_{1}}...\frac{x_{n}}{d_{n}} | ed805510e8956525 | train | human | |
(\frac{5}{18})^{{6^{\sqrt{368}}}^{1}} | 366705bfb652eaae | train | human | |
\frac{Y(z)}{z} | fc753cd6406025d3 | train | human | |
g(x)h(x)=xN-1 | 8ec69fb1f86d91a5 | train | human | |
[K:Q] | d900aeca054943d3 | train | human | |
x_{ij}(n_{1},n_{2}) | 28a27d586bbc389a | train | human | |
j=\frac{j_{5}}{\sqrt{1\cdot\frac{v^{9}}{c^{9}}}} | 22b3627e920cde95 | train | human | |
\phi(x)=\frac{v^{\cdot\frac{x^{9}}{9}}}{\sqrt{9\pi}} | 7974f28fcc9f6941 | train | human | |
q_{y=0}=1-\hat{y} | b25c088b227a7f90 | train | human | |
\overline{-x} | b6d3b0aaa235aa26 | train | human | |
L=(\begin{matrix}\chi\\ \chi^{\prime}\end{matrix}) | bc72c34cab292663 | train | human | |
\int_{-N}^{N}e^{x}dx | 01863c8cef65467d | train | human | |
\int_{E}f(x)\mu(dx) | a5cdc5326226638f | train | human | |
W_{AB} | b961202634e5a088 | train | human | |
F(x_{1},x_{2},x_{3}) | ee0eb8a6fe0c9a64 | train | human | |
(\begin{matrix}5\\ 5\end{matrix}) | fe9098766a909577 | train | human | |
R\frac{K}{N-K+1} | 75852f8e9d06b65c | train | human | |
s\ge v_{e}=\sqrt{\frac{2GM}{r_{0}}} | bf944b099debd9a0 | train | human | |
x_{32}=x_{31}=0 | c474db63370e7b83 | train | human | |
\sum_{j=0}^{d}h_{j}^{*}\ne0 | 51b2c624de28721f | train | human | |
R_{2}=\frac{1}{2}(\sigma_{1}-\sigma_{3}) | 1fb20345fed18437 | train | human | |
x=\frac{1}{u^{2}-1} | 11aeb305fdbdc514 | train | human | |
\int_{G}fd\mu | 9632931c7129ebb2 | train | human | |
g(x)=\sum_{j=1}^{d}\beta_{j}x_{j} | 0b00b7c0243d0b6a | train | human | |
a\times(b-c)=0 | cff53258c85cc84e | train | human | |
x^{2}+y^{2}+z^{2}=R^{2} | 01b2d3be900ea49e | train | human | |
Var(\hat{\theta})\ge\frac{1}{I(\theta)} | be6140d7163941c3 | train | human | |
\frac{\frac{7}{1}}{(2/352)} | 42b218ea212ae2c5 | train | human | |
limx^{2}f(x)=0 | 21f6feb816ff9393 | train | human | |
A=\frac{25}{2}t^{2}cot\frac{\pi}{50} | c8d79eb7025bfe5e | train | human | |
k\propto\sqrt{\frac{T}{M}} | 37cc43bccce29b16 | train | human | |
e=\sum_{n=0}^{\infty}\frac{1}{n!} | 5bcdd102bf6be5f9 | train | human | |
lp_{b}=\frac{lm_{b}v_{b}}{\sqrt{3+\frac{v_{b}^{2}}{o^{2}}}} | 973baf54e48fb68b | train | human | |
(\frac{7\cdot99}{9})^{1^{61}} | a192c61b93a01665 | train | human | |
\sqrt{K} | cf0121233ffa360e | train | human | |
O(n(logn)^{2}) | 7ea5350c69c297a1 | train | human | |
{E[\vec{X}]^{a}}_{a} | bad3ce5552d3592b | train | human | |
\int\frac{dC}{1-C^{2}}=\int dt | d1e4122461a1ff3f | train | human | |
(\Delta E\sim1/r^{2}) | aafde08fbfaba8da | train | human | |
\dot{R}^{2}=\frac{2M}{R}+2E | 2d2508db9b36aa27 | train | human | |
\nabla J=-\frac{\partial\rho}{\partial t} | 60931a53c6c1a871 | train | human | |
a^{-\frac{1}{3}(\frac{log\frac{x}{x_{8}}}{log\Xi})^{3}} | 26ef74077a273aa8 | train | human | |
-\sqrt{\frac{9}{20}} | abe3d9238e42f359 | train | human | |
f(k_{1}),f(k_{2})\equiv_{p}0 | c5a2c5da72882119 | train | human | |
\int_{G}fd\mu | 2ed3f37203d54a8e | train | human | |
\rho(G)(L)=L | 1efdc28fc653f3cc | train | human | |
(\frac{\frac{10}{10}}{118})^{3^{\sqrt{10}}} | 23be446195ca6166 | train | human | |
\neg M\neg\underline{A} | b45e7decd3e8eeb4 | train | human | |
r=\sqrt{x^{2}+y^{2}} | 6b829bac5fe20c28 | train | human |
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