image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
C([x])\subset[x] | 29476574ac7d3484 | train | human | |
A+R\rightarrow C | d144dd2646d4ae57 | train | human | |
S=\int_{0}^{T}E[s(t)^{2}]dt | 41b5bb616deafd01 | train | human | |
(\begin{matrix}9\\ 4\end{matrix}) | 959e64bda502f3b9 | train | human | |
\hat{x} | 416b79d6d8be913f | train | human | |
\frac{e^{i\theta}}{2} | db54a9a7c86eb05a | train | human | |
\frac{\partial}{\partial x^{i}} | f5e35bc653beb1b1 | train | human | |
Z=n\times[Z]=n[Z] | 4bb63e9c08fa8183 | train | human | |
\mathbb{W} | 9c20c09e28916892 | train | human | |
M | 750949b588801724 | train | human | |
tan\delta=\frac{\epsilon_{r}^{\prime\prime}}{\epsilon_{r}^{\prime}} | 9fb66376f1c07b95 | train | human | |
\frac{-2}{1+e^{-t}} | afc440dc00776fcc | train | human | |
J_{l}^{\delta} | 097e1c9850019cfd | train | human | |
\{\begin{matrix}q\\ r\end{matrix}\} | 4d0e0f78db0af985 | train | human | |
\{\begin{matrix}5\\ 5\end{matrix}\} | 72b9f88b67525b4f | train | human | |
U_{i}U_{i+1}U_{i}=U_{i} | 9961e7cac5163e84 | train | human | |
\sum_{i=n}^{m}\frac{(\begin{matrix}i\\ n\end{matrix})}{2^{i}} | 8b5b3794b5e4e23f | train | human | |
(\begin{matrix}n\\ k\end{matrix})\frac{1^{k}}{n}\frac{n-1^{n-k}}{n} | aa63256a731b92e0 | train | human | |
\dot{p_{x}}=-x-2\lambda xy | df8b690d80e6b8a3 | train | human | |
n^{\underline{m}} | 7b9da4b3b59a3011 | train | human | |
\hat{H}_{I}=\sum_{i}\hat{S}_{i}\otimes\hat{B}_{i} | fef1847a07d92495 | train | human | |
(\begin{matrix}m+n\\ m\end{matrix}) | f8dd75ef6ea960df | train | human | |
R_{MR} | bb59c9bbca5f9c46 | train | human | |
\nu_{e}+n\rightarrow p+e^{-} | e53ec27fbe628125 | train | human | |
(\begin{matrix}p_{n-1}&p_{n}\\ q_{n-1}&q_{n}\end{matrix}) | e0dec26d00717d22 | train | human | |
\tilde{\cdot} | 83afb4991315816a | train | human | |
x-y\le0 | 126fa54baabb227d | train | human | |
(\nabla\phi)_{k}=\frac{\hat{e}_{k}}{h_{k}}\frac{\partial\phi}{\partial q^{k}} | 4c2a143a4e98a349 | train | human | |
\int g(u)du | c7fda4850cfb04a1 | train | human | |
\frac{469\cdot5}{\frac{6}{4}} | 0dd572340e0e201d | train | human | |
\hat{d}(n) | e27a1642de425020 | train | human | |
z=\frac{z_{A}}{\sqrt{8-\frac{8}{c^{2}}z_{A}^{2}}} | c0734a814210dbf3 | train | human | |
\omega_{i_{1}\cdot\cdot\cdot i_{k}} | d37e6aa85a1c2250 | train | human | |
\gamma=\frac{C_{p}}{C_{V}}=-\frac{dp/p}{dV/V} | 4d15b99e9231cfed | train | human | |
(\begin{matrix}n\\ 0\end{matrix}) | e1afa1728f33dc11 | train | human | |
E=\frac{ti^{4}}{\sqrt{6-\frac{v^{4}}{i^{4}}}} | c71212c7882a4bf4 | train | human | |
\tilde{W}_{t} | a84ad8606a72a2b2 | train | human | |
e^{(\frac{\Upsilon}{\phi})[1-\sqrt{1-\frac{5\phi^{5}m}{\Upsilon}}]} | abcca5e042e3a353 | train | human | |
|P_{r}|=P_{t}\frac{Gh_{t}^{2}h_{r}^{2}}{d^{4}} | 02ce1ade350b89fa | train | human | |
\mu-s,\mu+s | 234557f3cb589425 | train | human | |
(\begin{matrix}n+k-1\\ k\end{matrix}) | f1101cdc54770d49 | train | human | |
u^{u^{\cdot^{\cdot^{u^{e}}}}} | a4a74d4e41bb2890 | train | human | |
H(\tilde{x}|\alpha) | 385b52509bf5482e | train | human | |
K=s^{s^{s^{...^{s^{f}}}}} | beab963270c82a39 | train | human | |
(131^{5}+\frac{363}{\sqrt{10}}) | 6b5a1fdb2d332be7 | train | human | |
(0,-\frac{2\phi^{2}}{\sqrt{3}},\frac{2}{\sqrt{3}}) | 7367441ee6ce8711 | train | human | |
\hat{X}^{n} | 77c13cf63966099e | train | human | |
C\frac{dV}{dt}=I-g(V) | b200fb41f29f045b | train | human | |
\tilde{f}_{0}:X\rightarrow E | b427633467e61e88 | train | human | |
\hat{J}_{z} | b3277c04999f9a10 | train | human | |
\tilde{D}_{6} | b82cb3d264c71f03 | train | human | |
Bord_{\langle n-1,n\rangle} | 307cb00ce8bac50a | train | human | |
\frac{\partial L}{\partial f_{x_{i}}} | 4bc03f6a9f8c9d4e | train | human | |
E=\sqrt{p^{2}c^{2}+m^{2}c^{4}} | 32402b8be78b5a6f | train | human | |
Q=\frac{m+c^{2}}{\sqrt{5-\frac{|b|^{2}}{c^{2}}}} | d372543111e5c44a | train | human | |
\frac{5\cdot140}{4}-7^{357} | 144d761f36ec23b6 | train | human | |
(\overline{z}) | 244ae04856622df7 | train | human | |
\pm\sqrt{1+cot^{2}\theta} | f47b67119c554345 | train | human | |
\frac{310-9}{\frac{2}{6}+4} | 825aa0c2f42d8f65 | train | human | |
\int_{a}^{b}P(x)^{2}dx | f55c462625e2bbbb | train | human | |
\sqrt{\frac{1+v/c}{1-v/c}} | 540da45b9fbf0deb | train | human | |
\frac{dC_{U}}{dC_{W}} | 8a7958b16a18c76d | train | human | |
\overline{u}_{S}=\overline{u}_{L}-\overline{u}_{E} | 46e6068fb14ec06a | train | human | |
H^{\prime}=\frac{1}{r_{12}} | f95a214227cdeb2e | train | human | |
s\{\begin{matrix}2\\ 6\end{matrix}\} | 6caef540ee5610ad | train | human | |
\frac{1}{2}(-v\partial_{u}+u\partial_{v}) | 97fc4a095e470c93 | train | human | |
-\frac{5}{11} | 94db9e5663fcf57c | train | human | |
t=\frac{V-V_{0}}{A} | 514106c8f90ed04a | train | human | |
\int_{0}^{1}\frac{1}{Floor(1/x)}dx | be2bed2e3e92702c | train | human | |
\hat{L}_{z} | 0c257b80875f29e7 | train | human | |
y^{y^{-^{-^{y^{x}}}}} | 150079c6dd8d8be0 | train | human | |
T=\sqrt{r/2g}/2\pi | 1c8b8bf57a6aa2a3 | train | human | |
K(0) | 6d983981102a7a8a | train | human | |
\sum w_{j}=12 | 44825482a0cdd3a6 | train | human | |
\frac{{2^{5}}^{5}}{7^{317}-372} | b8f9bcf96702aa1f | train | human | |
r^{2}(\frac{d\theta}{dt})^{2} | 7baa771cab3abb40 | train | human | |
\int^{x}B(x^{\prime})dx^{\prime} | c646631a125c3e39 | train | human | |
N=\{0,1,2,3,...\} | e70d3d226a53ba6e | train | human | |
\frac{\partial V}{\partial Y}=\lambda | ec998e17942a161d | train | human | |
L^{3}(md)^{2^{O(n)}} | a9da3e7381dc09c5 | train | human | |
A=[\begin{matrix}1&0\\ 0&1\\ 1&1\end{matrix}] | e25bc5f94ab6338e | train | human | |
(\begin{matrix}n\\ k\end{matrix})=\frac{n^{\underline{k}}}{k!} | d396e90d54b728c2 | train | human | |
G_{\mu\nu}=\frac{8\pi G}{c^{4}}T_{\mu\nu} | e31b681b76d0d955 | train | human | |
(g,[,],\beta) | 60e450dbab26871d | train | human | |
[\begin{matrix}x&=&p\\ y&=&p\end{matrix}] | 8dec0eb4cd5c4116 | train | human | |
(2\pi)^{-\frac{k}{2}} | 92d2329fbeeb7810 | train | human | |
\frac{\partial L}{\partial q}=0 | 715f32e638d7bac1 | train | human | |
\frac{\frac{\frac{238}{9}}{4}}{6-248-5} | a2accd48f1d0f077 | train | human | |
x^{2}\equiv a | 00020b16c6745940 | train | human | |
\frac{4}{\sqrt{4+\frac{4}{\epsilon^{9}}}} | a7653d3309a368f1 | train | human | |
y=\frac{Q}{w^{\int_{r_{1}}^{x}P(r)dr}} | 56fedaf40038bb9e | train | human | |
f(z)=\sum_{k=0}^{\infty}(\begin{matrix}1/2\\ k\end{matrix})z^{k} | 5ebe6483fc1252a2 | train | human | |
f(x_{1})=-2 | 49c43666258bf930 | train | human | |
\frac{\frac{\frac{9}{3}}{95}}{(1^{2}\cdot281)} | 18a92d1214b8b7b1 | train | human | |
d=\frac{v^{2}}{g} | 6a5c5bc9e913e8e7 | train | human | |
\phi(r,\theta)=\frac{Q}{2\pi}lnr | 8df61e177e1c1888 | train | human | |
\hat{Z} | 18a26a7766573237 | train | human | |
\tilde{A}_{8} | 190b577ddca3c6e4 | train | human | |
\tilde{c}(\Pi)=(-1)^{k-l}c(\Pi) | 7439bc9a078f998e | train | human | |
(\begin{matrix}0\\ 1\end{matrix}) | 7b51ea6a15b44432 | train | human |
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