image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\mu_{g},\mu,N | 8a227ed569827411 | train | human | |
kmodq\ne0 | f725f6106b4d2de2 | train | human | |
t_{0},....,t_{N} | d36404c488f02b9a | train | human | |
[\begin{matrix}1&0\\ -G&1\end{matrix}] | d144b7e392893ce5 | train | human | |
\pi^{ij}(r)=\pi^{ij}=\frac{\delta S}{\delta g_{ij}} | 2307b058966b5d36 | train | human | |
[f]=::[\begin{matrix}a&b\\ c&d\end{matrix}] | 65f5fe393497a8de | train | human | |
(\begin{matrix}n\\ c\end{matrix}) | 58e4c53dafd29bff | train | human | |
(\begin{matrix}n\\ 0\end{matrix})=1 | 8d0b117d2d35cd54 | train | human | |
Re_{b}=\frac{D_{b}G_{b}}{\mu_{L}} | 939befac9dc73264 | train | human | |
\frac{|x|^{p}}{p} | 5e5b699f291b38f2 | train | human | |
\tilde{f}(s)=\frac{a_{N}}{s-N}+\cdot\cdot\cdot | b9e4e9574f3cbc31 | train | human | |
=-\frac{1}{2T} | e8911864723f224b | train | human | |
\frac{dQ_{T}}{dQ_{*}} | 2dbce50190e35486 | train | human | |
(\begin{matrix}1&0\\ 0&-1\end{matrix}) | f60f0491a0ae8e22 | train | human | |
\frac{dQ}{dt} | ccb6de933d8cf86d | train | human | |
\frac{1+\frac{n}{c}cos\iota_{s}}{\sqrt{1\cdot\frac{n^{3}}{c^{3}}}} | 4f9524760a3e07fe | train | human | |
(\frac{11}{8}\div\frac{48}{35}=\frac{385}{384}) | f817b8c68afedd39 | train | human | |
\overline{f}=f | e3eb4b79b1766456 | train | human | |
\forall x.S(x)\rightarrow P(x) | 40d08b70a333ef52 | train | human | |
z_{T}=\frac{V}{Z_{0}I} | d4c806e752eb3666 | train | human | |
\frac{dQ}{dt} | 2d1d07341d7ccacb | train | human | |
0\le\delta\le\frac{1}{4} | cfb6f7c443976491 | train | human | |
x=+k/2 | 576ac05c648fb5b6 | train | human | |
\frac{13\cdot203}{(92+374)} | b77923a5f94cad65 | train | human | |
\int\frac{R}{16\pi G}dV | 2d392b9dadd5aeb8 | train | human | |
\{1,-1,i,-i\} | b1a26d44fb33a497 | train | human | |
A_{\mu}^{ab} | 84dc80589ff8ffbe | train | human | |
\int^{x}B(x^{\prime})dx^{\prime} | 9132edaea4dd9c74 | train | human | |
Z_{iT}=\sqrt{1-\omega^{2}} | bf20aa338e83805c | train | human | |
\frac{dy}{dx}=\frac{dy}{dw}\frac{dw}{dx} | 3fa88c585daf42d6 | train | human | |
0\le\underline{d}(\vec{X})\le\overline{d}(\vec{X})\le n | ed5c153a27d15d8e | train | human | |
K=\int|\kappa|ds | 2244eba441bd169b | train | human | |
\sqrt{3}a/2 | 9722fa3bcb716502 | train | human | |
f=\frac{1}{2}R^{*}H_{s}\frac{d}{ds}Rf | 37c3cc2925aac301 | train | human | |
c=\pi/\sqrt{3} | 2fbb1acce5b037b8 | train | human | |
\int cos(x^{2})dx | 228877b789c0bd7f | train | human | |
Q_{j}=-\frac{\partial V}{\partial q_{j}} | 26ec25819de5ae55 | train | human | |
114^{467}/478^{1} | e1d8d7f2798b102f | train | human | |
\underline{x}\in\mathbb{R}^{n} | 067a327b0c92095f | train | human | |
\nu(A)=\int_{A}f_{n}d\mu | 9b361df007754d66 | train | human | |
\frac{3+103^{285}}{141^{295}} | 961e2214959849ba | train | human | |
\bigcap_{i\in F}N_{i}=\{0\} | ac69613309ae7b42 | train | human | |
\frac{\frac{\sqrt{131}}{3}}{(454-1)\cdot7} | ced15e49fc9c783a | train | human | |
\frac{S(x+t)}{S(x)}=S_{x}(t) | dd0a91e3a12595e6 | train | human | |
r\{\begin{matrix}5\\ 3\end{matrix}\} | c3fbcb04816bc620 | train | human | |
s\{\begin{matrix}3\\ 3\end{matrix}\} | 53bcf1ac47d2b56c | train | human | |
\varsigma f^{\prime}=\frac{\varsigma f}{\sqrt{3-\frac{v^{0}}{c^{0}}}} | 9a490789b6f9655e | train | human | |
\frac{dF}{dL} | 2f2ebee9a5ffb88c | train | human | |
\int\sqrt{x^{3}+1}dx | 2e32d3a583607380 | train | human | |
\int\int_{X}\int_{Y}^{Z} | 357795556212003c | train | human | |
\tilde{C_{n}^{m}}=-\frac{C_{n}^{m}}{\mu R^{n}} | 74f3f869be908ee3 | train | human | |
f^{i^{c^{\cdot^{\cdot^{\cdot}}}}} | 22150278c5ccf61f | train | human | |
\overline{m}=-me^{m\pi/a} | bad543715815b769 | train | human | |
P=\int I(x,y)dxdy | 8ff35d6488262469 | train | human | |
\tilde{y}_{j} | d2d18a320aef1950 | train | human | |
y(t)=\int_{0}^{t}dy(r) | 9435902f0a2be25f | train | human | |
(\begin{matrix}0&-1\\ 1&0\end{matrix}) | 137ff07bc3e57aa3 | train | human | |
\frac{\frac{7}{167}}{(454^{7}+6)} | 68c15b3a36f6d795 | train | human | |
\frac{\frac{10^{10}}{113}}{\frac{4}{6}} | 6b630870c979eaa7 | train | human | |
F_{1}=[\begin{matrix}0&1\end{matrix}] | dd694b3f31fab9a3 | train | human | |
q=\frac{(\overline{y}_{max}-\overline{y}_{min})}{S\sqrt{2/n}} | 9042ff904131f254 | train | human | |
\sqrt[3]{\frac{x^{3}+y^{3}}{2}} | d297876c13257f24 | train | human | |
E_{0}=3.28\times10^{-20} | d1a69251bbef0b8e | train | human | |
0 | 10ac3ec66586448f | train | human | |
x_{i}\notin D | fb279aa69205577e | train | human | |
u_{b}^{\psi} | 9b159b6c57ebdb33 | train | human | |
\{\sigma_{a},\sigma_{b}\}=2\delta_{ab}I | e5238e8a114ae55d | train | human | |
\hat{M} | 8b4b69d755852edb | train | human | |
\frac{149/3}{3\cdot118} | 2eee48889d51f12d | train | human | |
\int_{0}^{1}-ln(x)f(x)dx | ea2677b88190453d | train | human | |
\hat{N}_{f} | 01da8f771081da52 | train | human | |
\frac{dM_{z}(t)}{dt}=0 | 70e282f10cd3126e | train | human | |
\overline{X_{n}}:=\frac{X_{1}+\cdot\cdot\cdot+X_{n}}{n} | 57655ec76309a837 | train | human | |
\sqrt[n]{ab+2} | e5b379b5a2188d1c | train | human | |
\int_{X}\int | b9fee3e86c3d82b0 | train | human | |
(\begin{matrix}n\\ m\end{matrix}) | a26b5f02853051df | train | human | |
\hat{\nu} | 68cd658e0abaa3a7 | train | human | |
y^{2}=\frac{x^{3}}{2a-x} | 8e00f7f82041b020 | train | human | |
\hat{k} | b0ab425d87612926 | train | human | |
\int p(x)dx=1 | 6b3cf242b4dbf6c1 | train | human | |
(\frac{1-\overline{z_{j}}z_{i}}{1-\overline{\lambda_{j}}\lambda_{i}})_{i,j=1}^{n} | 97a083e84fbecca1 | train | human | |
\frac{d}{dx}sinx=cosx | 91dcb3c02b70a316 | train | human | |
\Lambda_{5}^{\beta} | 85bab4a5d312cfcc | train | human | |
\sqrt{288}+481^{\frac{7}{3}} | 1b4ec6dc38649d44 | train | human | |
x^{+}=\frac{t+x}{\sqrt{2}} | e740d6404fdb8520 | train | human | |
\frac{1}{2^{k}} | b128f4eeac153407 | train | human | |
\frac{dv}{dr}=0 | baa5c219688e5a37 | train | human | |
\lambda^{6}-4\lambda^{3}+125=0 | 425d77be31235ae5 | train | human | |
I=\int_{m}^{n}f(x)dx | 061fd227f5bb4397 | train | human | |
\int x\cdot dx | 7f3e4d69738dce3b | train | human | |
P_{sl} | 0ba9403be2515391 | train | human | |
1-\underline{P}[F(0)<0.5|X_{1},...,X_{n}] | b1759b78290279b3 | train | human | |
q=-exp(-\pi\sqrt{163}) | 62eb030f644a8b7c | train | human | |
Q=(\begin{matrix}1&0\\ 0&r^{2}\end{matrix}) | 3f5861e7a7998200 | train | human | |
\epsilon_{w}^{2}-m_{w}^{2}=b^{2}(w) | 50b6db4f2551ae54 | train | human | |
((\frac{\sqrt{141}}{5})^{9})^{\frac{6}{159}/10} | cd43df2a7508666f | train | human | |
\frac{\partial\rho_{S}}{\partial t}=0 | 1b282301f480d29c | train | human | |
|E|/2 | 55e80eaf11971ee0 | train | human | |
\hat{H}_{0}=\sum_{i}\frac{\hat{p}_{i}^{2}}{2m_{i}}+V | 34d218451aff8d92 | train | human | |
t | 7b4450e6b3e07d8c | train | human |
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