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}n\\ 2\end{matrix})^{-1} | 338c28740c47e039 | train | human | |
\tilde{B}_{6} | 99026a6b60521d91 | train | human | |
\sqrt{\epsilon} | 8717ccfeabd228c6 | train | human | |
(\begin{matrix}k\\ 2\end{matrix})=\frac{k(k-1)}{2} | 5ed7f3fe91457ab2 | train | human | |
G=\int_{0}^{T}S(t)x(t)dt | f8204fc24918c0a3 | train | human | |
\xi=\{\begin{matrix}0\\ v\end{matrix}\} | 5fdb9eba20f5ffdd | train | human | |
x^{13^{13^{13^{122}}}} | 7baa18ddf56acc8c | train | human | |
s\{\begin{matrix}2\\ 7\end{matrix}\} | 7e37cac2baf330d7 | train | human | |
(\begin{matrix}n\\ k\end{matrix})_{q} | 93f50277fa761d0a | train | human | |
\hat{a}_{2} | fd688c109604c7d9 | train | human | |
\frac{PV}{T}=C | 25f65aa2ed3d5fa2 | train | human | |
F=\mathbb{Q}(\sqrt{3}) | 04af10dfb0a2923d | train | human | |
-\frac{1}{x\sqrt{x^{2}-1}} | 5477dfea8e6b5ec8 | train | human | |
\frac{(167+446)}{(\frac{\sqrt{2}}{276})^{443}} | 0867344fa20c983e | train | human | |
(\begin{matrix}m+n\\ m\end{matrix}) | 2c22a4a08a51aa07 | train | human | |
\sqrt{1+\frac{b^{2}}{a^{2}}} | d17571e3d04e73a0 | train | human | |
\frac{5\cdot140}{4}-7^{357} | 0d2f1d1d2ac823c9 | train | human | |
U(1) | 4af5a3c11fdf0c5a | train | human | |
p=(\begin{matrix}1&-1\\ 0&1\end{matrix}) | b005088794a1c6a3 | train | human | |
E=\int Fudt | b977ad5f657ef4a2 | train | human | |
z+n=\prod_{p_{i}\in P}p_{i}^{b_{i}} | 134f25317b9c70b6 | train | human | |
59^{\frac{5}{2\sqrt{f_{B}}}}\cdot\frac{2.8}{Rl\sqrt{f_{B}}} | ac089bb24df268e1 | train | human | |
2^{2^{2^{\aleph_{1}}}} | f1c35310b3d929f7 | train | human | |
\prod_{j\ne i}(x-x_{j}) | 9e27755929800fe7 | train | human | |
M_{Z}=\frac{v\sqrt{g^{2}+{g^{\prime}}^{2}}}{2} | 19c718ce26431972 | train | human | |
=1-N^{2} | d86c9c89fb4ac0ea | train | human | |
\Sigma_{\varphi}^{\varphi} | bcf166499259fee1 | train | human | |
\infty k\delta(s)\hat{z} | b47f8324a599ed70 | train | human | |
I_{1}=3,\lambda_{i}=\lambda_{j}=1 | f35b27edbf64825e | train | human | |
H=h+\frac{v^{2}}{2g} | 6567e2221113f29b | train | human | |
\sqrt{64} | 293c73938f43cebe | train | human | |
\iint_{S}FdS | 05c704f21b802507 | train | human | |
I_{y}=\frac{\pi}{4}({r_{2}}^{4}-{r_{1}}^{4}) | 5a58ba9b27f4d202 | train | human | |
r\{\begin{matrix}4\\ 3\end{matrix}\} | 4735302eaa31bc8e | train | human | |
\frac{dy}{dx}=0 | 6604882f686f83d7 | train | human | |
7^{7^{\cdot^{\cdot^{\cdot^{j}}}}} | ba49b6e0b95bbcf7 | train | human | |
\frac{dr}{dt_{r}} | 41e91a9941304024 | train | human | |
N_{b}^{r} | 8f02cb9ad9603617 | train | human | |
\frac{b_{i}}{n_{i}} | 463881c88050032d | train | human | |
k=[G:H]<\infty | d1d73a503d583d6b | train | human | |
a>2 | 79f1b2b345990ebc | train | human | |
\underline{p}_{i}=(p_{i}^{+},\vec{p}_{\perp i}) | caf2919ca91088b3 | train | human | |
\frac{a_{i}}{b_{i}} | 284a373670512ade | train | human | |
\frac{\sqrt{70}}{469}+(\frac{4}{10})^{304} | 7232d954b04f06ae | train | human | |
\int_{a}^{b}\cdot\cdot\cdot dx | 67d96c55a2e2e05d | train | human | |
\frac{3^{n-1}}{4^{n}} | 2985fd6fe36c7451 | train | human | |
\mu(\tilde{X}\cap\tilde{Y})=0 | 9b5347fc4fe336a9 | train | human | |
\sum_{n=0}^{N}(\begin{matrix}N\\ n\end{matrix})^{2}=(\begin{matrix}2N\\ N\end{matrix}) | 6f14c13e4af6adeb | train | human | |
E_{ij}=\sum_{a=1}^{m}x_{ia}\frac{\partial}{\partial x_{ja}} | 55e1858a25775963 | train | human | |
M=(\begin{matrix}n\\ 2\end{matrix})p | 7c35ae4f54381578 | train | human | |
\mathbb{C}P^{1} | 00895deb5a227920 | train | human | |
\frac{d}{D} | e532c2458533619f | train | human | |
G=exp(\frac{ie\lambda(\vec{x})}{\hbar c}) | 181d0f524ee02541 | train | human | |
A=(\begin{matrix}1&-2\\ 1&-1\end{matrix}) | f28407d0159489c4 | train | human | |
a_{n}=n\#-1 | 8da3ba19484a2528 | train | human | |
R\frac{dq}{dt}+\frac{q}{C}=E | ef7a967d01984626 | train | human | |
\int_{0}^{T}PdX=nh | 9a55761896482276 | train | human | |
\epsilon_{Y}=id_{TY} | 37fb603d159ef857 | train | human | |
\int\frac{dx}{\sqrt{sinx}} | 2890699d04fd593c | train | human | |
\gamma(0)=(\begin{matrix}0\\ 0\end{matrix}) | 8c3231293bdaf4af | train | human | |
2^{2^{n}}-1 | 745145a270d61447 | train | human | |
y_{0}=\frac{e\psi_{0}}{k_{B}T} | 9fc948686f76687c | train | human | |
u_{x}^{2}+u_{y}^{2}+u_{z}^{2}=\frac{1}{c^{2}} | c3bc8488ae8f52cd | train | human | |
\frac{\partial\rho}{\partial t}+\nabla\cdot(\rho u)=0 | f3cafdbb6330d748 | train | human | |
p_{J+1/2}^{n}=p_{b}(t^{n}) | 934f729b10b9db79 | train | human | |
A(x)>x^{\sqrt{2}-1-o(1)} | 283a6b1ddaee328f | train | human | |
e^{i\pi x} | 1261d633e98b9d59 | train | human | |
\frac{f_{T}}{3} | f5c9e2f9f42223e5 | train | human | |
=(a+w)(e^{a}+e^{a}w-1) | 25e70a3a4815a354 | train | human | |
\frac{73+1}{{7^{4}}^{280}} | e844cab0f57db37c | train | human | |
SR(2)\le\frac{2}{\sqrt{3}} | 2bf4f5149ae8cba2 | train | human | |
X=\frac{F_{2}-F}{F-F_{1}} | 33e7a191f7451da7 | train | human | |
\int_{c}^{d}f(x)dx | b5d672e40be9d8ea | train | human | |
\sqrt{n}/2 | e3b666a7ab4d1078 | train | human | |
p=\frac{2}{\lambda^{4}}\frac{\partial W}{\partial I_{1}} | 9923dec00195641e | train | human | |
\frac{m}{\sqrt{\frac{e^{2}}{n^{2}}-1}} | 239e5ecedd46a2ff | train | human | |
\frac{v^{\frac{(y-t)^{2}}{6}}}{i\sqrt{6\omega}} | 985cd2c608c5c06d | train | human | |
\underline{X}:U\rightarrow\mathbb{R}^{n} | 45ba1cd788755d61 | train | human | |
T=\frac{\pi}{\sqrt{I}} | cfc478513987faf4 | train | human | |
P_{3}=(0,-72,2\sqrt{3},12) | 596beaa14682eef8 | train | human | |
z-\hat{z} | 6b7908e722dc9c0e | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 7b1152893194bd14 | train | human | |
\sqrt{mkT} | 6fced15f68e25dc9 | train | human | |
\int dx=x+C | cde84d70cd100325 | train | human | |
K(g,[g,g])=0 | 9f6c57e3830cc87c | train | human | |
lim_{t\rightarrow\infty}\overline{x}(t) | d81a5730af3872cc | train | human | |
\tilde{d}=\frac{top}{\sqrt{\frac{t_{0}t_{2}}{t_{0}\cdot t_{2}}}} | 3ad59a2d2af7c1ce | train | human | |
K_{n}^{top}(C_{*}^{r}(G)) | 5c747c88604d2359 | train | human | |
\frac{\partial}{\partial x} | 2af0648f01df0a11 | train | human | |
R_{\mu}=\frac{2G}{c^{3}}mcU_{\mu} | 7c26682486422142 | train | human | |
W_{\alpha}\equiv\overline{D}^{2}D_{\alpha}V | a20968c31344c932 | train | human | |
\frac{\Delta r}{i}=\frac{R^{\frac{2r_{l}}{i}}-1}{R^{\frac{2r_{l}}{i}}\cdot1} | 2c2f58eea46070b6 | train | human | |
(\frac{4}{\sqrt{4}}+\frac{405}{\sqrt{201}}) | 6e8fe1d552a0b3e1 | train | human | |
(\frac{NQ^{0.5}}{(gH)^{0.75}}) | 26840db4fa58b75e | train | human | |
\delta x=\frac{\delta E_{2}}{E_{2}}S_{rel}^{-1} | 11bd6abb741f4e46 | train | human | |
\overline{u^{\prime}v^{\prime}} | c7d6e1b69141f8ed | train | human | |
(\begin{matrix}n\\ k\end{matrix}) | 26818539d3052aab | train | human | |
\sqrt{1-\frac{v^{2}}{c^{2}}} | f8e9139946fb880b | train | human | |
4\cdot5^{{39^{1}}^{132}} | e5210a93254dba61 | train | human | |
D=\frac{d}{dx} | 635ca0c838b05939 | train | human |
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