image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\frac{f(7,4)}{g(7,4)} | 08ff00514ed4b0b6 | train | human | |
\lfloor E\rfloor(F)\rightarrow^{\sigma}E^{\prime} | 7ee093f4a23f112d | train | human | |
-\sqrt{\frac{1}{20}} | b2d38d0124095e31 | train | human | |
9^{9^{9^{n^{h}}}} | c1772ff6489bc347 | train | human | |
\rho_{j}=\frac{\lambda_{j}}{\mu_{j}} | c918e50eb4e0e05e | train | human | |
{4^{163}}^{87}+(460\cdot9)^{\sqrt{317}} | a0ffcd5e98025755 | train | human | |
p^{*}=0.528p_{0} | 6bbef4af0befc054 | train | human | |
\omega=\frac{\partial u}{\partial z} | 0e72320cb79de538 | train | human | |
\rho=\sum_{i}\overline{\lambda}P_{\Omega_{i}} | 1d5dfcc0724cecf2 | train | human | |
lim_{h\rightarrow0}\frac{2^{h}-1}{h} | 39b9f85cbdd6aa1f | train | human | |
x_{t+1}=\sqrt{n-x_{t}} | c5f9022fbe466daa | train | human | |
\rho(\psi(P_{A}))^{b})\in F_{q}^{m} | cdaa4e881fc79887 | train | human | |
\vec{\xi}\approx\sum_{j=1}^{n}s_{j}\vec{b}_{j} | 2af0c89c97618332 | train | human | |
lim_{n\rightarrow\infty}p_{ij}^{(n)}=\frac{C}{M_{j}} | ab7773d1a509df45 | train | human | |
T_{6}\approx6.37 | 31383381d102570a | train | human | |
L^{-1}=\int_{0}^{t}() | b76eae0ecb51d450 | train | human | |
\frac{(287\cdot\sqrt{207})^{8}}{(122+155)} | 3e6a42aa68d5234e | train | human | |
(\begin{matrix}n\\ 5\end{matrix}) | e6939a9a39825687 | train | human | |
d<\frac{N^{\frac{1}{4}}}{3}\approx5.7828 | 8e6ddc37d5b82671 | train | human | |
\hat{f}^{s} | eafe6c35d58b0425 | train | human | |
t=\frac{d}{v} | 44890193648dfcb4 | train | human | |
p(x)=\prod_{i=1}^{m}p_{i}(x) | acef151d04733a95 | train | human | |
\frac{\Gamma_{s}}{\delta x_{SP}}A_{s} | df63f4eb2f18b07e | train | human | |
v_{D}=-\frac{\nabla pXB}{qnB^{2}} | 4a883d673d72e148 | train | human | |
[\begin{matrix}a&b\\ c&d\end{matrix}] | d87c94ea15aeed73 | train | human | |
x+x^{-n}=2 | 1b9be75856b49263 | train | human | |
\frac{dM}{dx}=Q | a492a904a7488b08 | train | human | |
2|r_{1}-r_{2}| | ee728e0eb11644f7 | train | human | |
3\sqrt{2} | 00330410630018f4 | train | human | |
(J+1)^{th} | 78d6180692f4c8f1 | train | human | |
1^{1^{1^{1^{1^{1}}}}}+3 | 702f4d345579d085 | train | human | |
o^{\prime}=\frac{o-rq}{\sqrt{1-\frac{r^{2}}{b^{2}}}} | 095e4e3a83d61087 | train | human | |
S | e89652df35914df2 | train | human | |
\hat{m}_{h}^{\prime}s | 15682b100e39fcbe | train | human | |
1-5/3+4^{466} | 947c2d694e856276 | train | human | |
i=\frac{nFAc_{j}^{0}\sqrt{D_{j}}}{\sqrt{\pi t}} | 6e2e9035fd5d4a83 | train | human | |
\frac{1}{2}+\frac{\sqrt{x}}{2} | dc66347a5fe0a55b | train | human | |
G | f9abbc6f29d72e7b | train | human | |
\phi_{\epsilon_{\Omega+1}}(0) | 4cd6931cadf399fd | train | human | |
x_{n}=n^{-1/2}\lambda_{n}=\overline{y_{n}} | d4c31e6cfe2c0c50 | train | human | |
\frac{(419\cdot319)}{(278\cdot186)^{11}} | 945f75bab9953139 | train | human | |
r=\frac{n^{2}\hbar^{2}4\pi\epsilon_{0}}{m_{e}Ze^{2}} | 9b069e4b45598710 | train | human | |
\frac{dW}{dt} | 12c431d51badcdc7 | train | human | |
x=\frac{-b\pm\sqrt{\Delta}}{2a} | 4ee426befb9e066a | train | human | |
|z|=\sqrt{x^{2}+y^{2}} | 78fa12f2076725d2 | train | human | |
sinc(\frac{k}{m}) | b9742e24c9088300 | train | human | |
\mathbb{I} | f4a22a91e918174b | train | human | |
\frac{\frac{9}{223}}{77^{455}} | d77b483d7e38c477 | train | human | |
(\frac{5+311}{\sqrt{255}}\cdot\frac{2}{6}\cdot445) | e8e8e740ed311b23 | train | human | |
({2^{9}}^{233}\cdot\sqrt{265}^{415}) | 8ec1ad4ed40ca0a0 | train | human | |
\int dx=x+C | e681120199ac2a9b | train | human | |
A/\Psi | 93b95a3d6b3a4542 | train | human | |
\frac{d\mu}{dn} | d8ea0b681a670319 | train | human | |
\sqrt{176}+477^{217+9-253} | 0612af06380caf79 | train | human | |
[\begin{matrix}0&-1\\ 1&0\end{matrix}] | 0305e8d4378d56a7 | train | human | |
R=(R,0,1,+,\cdot) | 77867c874ba72933 | train | human | |
d(X)=\frac{E[||X||^{2}]}{\sigma(X)^{2}} | fa10a63048568d46 | train | human | |
\frac{dx}{du}du | edeb34501269e515 | train | human | |
[\begin{matrix}3&0\\ 0&-2\end{matrix}] | 29b06bb02eaa34b2 | train | human | |
\int_{p}fdx | 8dcf821389b9bf98 | train | human | |
b=\frac{|r|}{\sqrt{\frac{1-r^{7}}{x-7}}} | 4f67fcaf68133583 | train | human | |
s=\frac{n_{s}-n_{r}}{n_{s}} | 71204bf8c792b23b | train | human | |
\frac{24/\sqrt{3}}{{\sqrt{169}^{98}}^{5}} | 1028884bd57d5c97 | train | human | |
\hat{2} | bb799f79a22e2169 | train | human | |
(-4\sqrt{\frac{2}{5}},0,0,\pm2) | f7d985d31635900c | train | human | |
\tilde{p}_{P} | 1fbb96303a7f46e3 | train | human | |
\frac{\partial V}{\partial t} | 71bd390f220c0366 | train | human | |
\frac{1}{[A]}=\frac{1}{[A]_{0}}+kt | ad2ba1602a5f4b02 | train | human | |
2r^{2}\sqrt{2} | 949a133bf271e91b | train | human | |
(\begin{matrix}n+1\\ k\end{matrix}) | d8b7a97334760fa8 | train | human | |
(\begin{matrix}p^{r}\\ s\end{matrix}) | f56c2dfc47d545aa | train | human | |
\sqrt{g^{ac}\dot{r}_{c}g_{ab}\dot{r}^{b}} | 39500afcdf873a68 | train | human | |
F=D\cdot\frac{n(1+i)^{n}}{1+g} | 062dc683a835f50b | train | human | |
\pi_{X}:\Sigma_{n,m}\rightarrow P^{n} | 38ea22f681189bde | train | human | |
\int_{1}^{2}F(x)dx=0 | f81a6d09fc148979 | train | human | |
[\begin{matrix}2&2&4\\ 3&5\\ 6\end{matrix}] | c8fb4797d8456635 | train | human | |
m_{e}\rightarrow\frac{m_{e}m_{p}}{m_{e}+m_{p}} | cf0bfeca4853f091 | train | human | |
\frac{\sqrt{3}}{4}a^{\prime2} | 1d84d401c9ee64f0 | train | human | |
1^{433}\cdot111+\sqrt{5}^{381} | 7b4eb6998606c24c | train | human | |
(\begin{matrix}x\\ n\end{matrix}) | 71e7c650f4016490 | train | human | |
m=|S| | 3ba86d0f2d0069ae | train | human | |
\int_{0}^{1}f(p)dp | 49b0720dbcaf6474 | train | human | |
L=-\frac{n_{*}^{3}}{\chi\frac{g}{\overline{\omega_{p}}}\overline{q^{\prime}\omega_{p}^{\prime}}} | afb8018be99e014a | train | human | |
m=\gamma_{(u)}m_{0} | f5107bc08a5cd6f3 | train | human | |
\overline{D} | 3dca3c8b8e35bf50 | train | human | |
b=\frac{|r|}{\sqrt{\frac{1-r^{7}}{x-7}}} | f2368d3c06d50481 | train | human | |
{{3^{\sqrt{9}}}^{468}}^{(\frac{431}{38})^{7}} | dadb82ce798b1c85 | train | human | |
-i\frac{\partial}{\partial x} | 064bd1a6dc3ea5f0 | train | human | |
u | 9ad814166f202cd4 | train | human | |
a^{\underline{b}}=a(a-1)...(a-b+1) | 699c6019eda02eb4 | train | human | |
logA=2logL+c_{1} | 3ac27431616a3f04 | train | human | |
\frac{\partial\rho}{\partial t} | 14e93211f8c8b1b4 | train | human | |
\hat{V}(t) | 9ec813dd4e6a05d3 | train | human | |
q(uv)=au^{2} | 1f8fa393b7ce8f71 | train | human | |
e^{15^{15^{15^{133}}}} | 4f16a5c542076af6 | train | human | |
Pr(Y=y|N) | 3a5198258e77d6ef | train | human | |
\frac{v_{2}}{v_{1}}=\frac{1}{3} | 7b4b5f3029d09598 | train | human | |
\partial_{z}w=3\partial_{\overline{z}}v | 1e2b69fe88900b19 | train | human | |
j^{\underline{m}} | 8000ecbdb3665352 | train | human | |
\overline{v}=\sqrt{\frac{k_{B}T}{m}} | e9c4c72db9081a1a | train | human |
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