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\\ 2\end{matrix}) | b62333e7051df816 | train | human | |
L=\int_{S_{o}}^{S}nds | 00622f161790cebf | train | human | |
(\frac{6}{268}\cdot\sqrt{3})^{\frac{1\cdot1}{\sqrt{8}}} | 67e6c033d086fa38 | train | human | |
9\cdot2^{3w} | 7041cfd01fc32641 | train | human | |
\sum_{n=1}^{\infty}\frac{1}{n}=\infty | eacc687818975079 | train | human | |
x^{+}=\frac{t+x}{\sqrt{2}} | 5c6577ec6f80441b | train | human | |
\frac{o^{+\frac{j^{2}}{2\sigma^{2}}}}{\sqrt{2\pi}\sigma} | 3d2c17b6ab4482f8 | train | human | |
t>m+ld | c72b4019921f0120 | train | human | |
\frac{2}{3}(y_{1}+\frac{(\frac{Q}{b_{1}})^{2}}{2gy_{1}^{2}})=y_{c} | 8822c650e06c45ab | train | human | |
\int sin^{2}xcos^{2}xdx | 3d6b309bc155923b | train | human | |
\zeta_{V,p}(p^{-s}) | a1703d411e8ebc27 | train | human | |
-\frac{s^{2}}{10}+o(1) | 86cd17c608b12244 | train | human | |
(132/10+9)\cdot6^{209}-232 | 0a9ac9ab61f5916e | train | human | |
\frac{(\sqrt{9}\cdot10)}{\frac{6}{207}} | edc34b3bce864d1e | train | human | |
[\begin{matrix}0&-1\\ 1&1\end{matrix}] | 169d4a0875238fb5 | train | human | |
I_{KAR}=(\frac{2Z^{2}}{n^{2}Fr})^{n} | e6eff1cf50186f17 | train | human | |
\frac{\partial h}{\partial z_{j}^{-}} | 5fcc54c854187dc0 | train | human | |
e^{\theta}=\frac{1+t}{1-t} | 5235dafa2d535142 | train | human | |
\tilde{I}_{6}[f]=A_{1}\sum_{i=1}^{6}f(a_{i}^{1}) | 4a9cb0ed198369fc | train | human | |
\hat{t} | 9c98ad823f8bd200 | train | human | |
\frac{\lambda_{c}}{d}=\pi vZ_{0}C | e2393094296fa0b5 | train | human | |
\sqrt{16pi/3}=H | 2543882c8da125da | train | human | |
5^{5^{5^{.^{.^{n}}}}} | a3b51393cc8ae459 | train | human | |
\frac{p}{p_{c}}<\frac{T}{2T_{c}} | a45dad686376cd21 | train | human | |
G=(\begin{matrix}1&0\end{matrix}) | 0ea25c0762b048e7 | train | human | |
2^{\frac{1}{12}}\approx1.0595 | 55fcbbcc19ab4753 | train | human | |
m=\frac{m_{4}}{\sqrt{3\cdot\frac{v^{9}}{c^{9}}}} | 959795e66d38fbc4 | train | human | |
{281^{203}}^{52-1} | c83e5b7bd4a87f49 | train | human | |
r(t)=\sqrt{k+(ct)^{2}} | 5a757e22715a3777 | train | human | |
\frac{1}{k_{eq}}=\frac{1}{k_{1}}+\frac{1}{k_{2}} | e90e28c2fbad0a1c | train | human | |
4^{4^{+^{+^{+^{n}}}}} | 0370e59015ca5f03 | train | human | |
s_{1}=c_{1}e_{1}=\frac{3}{16} | bb0b76c1913fef4d | train | human | |
h=2\frac{dA}{dt} | 2147893b856bbe98 | train | human | |
A=[\begin{matrix}1&3\\ 2&1\end{matrix}] | a8c1a321130b3d59 | train | human | |
d_{e}=\frac{d_{x}}{\sqrt{\frac{d_{x}}{d_{a}}}} | bd8bc953a1750148 | train | human | |
r\approx a(1-e)\sqrt[3]{\frac{m}{3M}} | dc146be049fa7c74 | train | human | |
(0,\frac{2}{\sqrt{3}},\frac{2\phi^{2}}{\sqrt{3}}) | 04dfac72ef3a8add | train | human | |
m_{e}\rightarrow\frac{m_{e}m_{p}}{m_{e}+m_{p}} | b10c748ea5ab4830 | train | human | |
\frac{d}{dx}\int_{a}^{x}f(x,y)dy | f54533aff9d2152c | train | human | |
X\mapsto E(X|H) | 4afcca3a495caee9 | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 4bc46c7217cec6fa | train | human | |
\int_{t1}^{t2}Ldt | 02c716b14ef34337 | train | human | |
\hat{t}(s) | fb20d41e664aa2e6 | train | human | |
E=\frac{m+y^{7}}{\sqrt{1-\frac{|e|^{7}}{y^{7}}}} | 9eac547cf43bf1ad | train | human | |
A\approx\frac{d^{2}}{1.8544} | b3b1272ed0217311 | train | human | |
A+\overline{D} | 21808f4137c6bb38 | train | human | |
L^{-1}=\int_{0}^{t}() | 64237b1699d5110f | train | human | |
1\frac{5}{7} | e1ad3f92fea38916 | train | human | |
f(y|x;\theta) | df75f24f4b6fd8c2 | train | human | |
\int_{S}F\overline{F} | f954108371ace078 | train | human | |
m_{1}^{m_{2}^{m_{5}^{-^{-^{-}}}}} | dc43e6bfd37e79bd | train | human | |
(\begin{matrix}mn\\ k\end{matrix})=\frac{(mn)!}{k!(mn-k)!} | 87cc806f56244395 | train | human | |
r_{2}:=c/t | 13df68740b37b18a | train | human | |
a | a3251960dd51a39b | train | human | |
\frac{1\cdot171^{9}}{1^{198}} | d49277f43c4fb845 | train | human | |
\int_{S}fd\mu | 586e0ca0ccc093bf | train | human | |
(x_{1},...,x_{m}) | deebf6ea4ac697f4 | train | human | |
\frac{1}{13}\times\frac{1}{17}=\frac{1}{221} | ef61741049fad716 | train | human | |
E[c\chi^{2}(k^{\prime})]=ck^{\prime} | 89abee3b39d37060 | train | human | |
\tau H_{n-i-1}M | 20113adc4ab70044 | train | human | |
k_{i}\le\sqrt{4mlnn} | 421e9d15df5ff346 | train | human | |
Z=\prod_{j=1}^{N}\zeta_{j} | 6c90ff76ff868dfe | train | human | |
\frac{d}{dx}\chi_{+}^{\alpha}=\chi_{+}^{\alpha-1} | 4b49326c73a59887 | train | human | |
\frac{n}{p}\le4 | a618fa2f2e899830 | train | human | |
\frac{\sum_{k=1}^{N}\lambda_{k}}{\sum_{k=1}^{\infty}\lambda_{k}} | ed9013d5986a53b8 | train | human | |
\hat{9} | 5cb13b9ed607ac99 | train | human | |
P_{C\cap D} | e471771a7940f69b | train | human | |
n!=\prod_{k=1}^{n}k | a7e0830b3df5f87f | train | human | |
1/\overline{z_{0}} | f4f9281371e66454 | train | human | |
h=\frac{750}{\pi r^{2}} | 641317b772937a49 | train | human | |
f_{a}(1)=g^{a_{1}} | 6dae221c120f63e3 | train | human | |
h_{2}=-h_{1}^{2}\frac{J^{\prime\prime}(u_{0})}{12\beta^{2}} | 8e8dd0a83a132094 | train | human | |
(x-\sqrt{2})(x+\sqrt{2}) | c90d1bb1566dcbee | train | human | |
W_{p}=\frac{\alpha}{1-\beta A}S | d795343700669800 | train | human | |
\Omega(c) | 216bd7001bb2589b | train | human | |
D_{i}=\frac{z_{i}}{s} | f808b0dc245692eb | train | human | |
\frac{9}{4}-218+1^{7} | aa5b030aab211d23 | train | human | |
\frac{dS}{dz}=0 | 7831827bb0ad26ff | train | human | |
E(X)=\int_{\Omega}XdP | dc7e590e1b865b86 | train | human | |
\frac{\frac{237}{445}-431}{\frac{10}{164}} | 5a0732bcabff7695 | train | human | |
\alpha^{2}u_{j,iij}=0 | e38d687e19c24d3b | train | human | |
(\phi,V\psi^{\pm}) | 59a5d355096f02bc | train | human | |
m=0(modp) | 2dc372f31810d36c | train | human | |
z=\frac{p_{z}}{m}t+c_{z} | 6b67c2b51e0c97bd | train | human | |
\|\mu\|=\frac{e\tau}{\|m^{*}\|} | 8d69ff4cab3db1fc | train | human | |
m(A)=\int_{A}Xdn | c7cebf55df86f2a1 | train | human | |
\overline{r},\dot{\overline{r}} | 44410f3851b2a8ef | train | human | |
\sqrt{z} | bc8e0101437f0f40 | train | human | |
\{7,1\}^{5^{5^{\aleph_{7}}}} | 77c8ca11d290e50e | train | human | |
\lambda_{1}=inf_{u\ne0}\frac{\int_{\Omega}|\nabla u|^{2}}{\int_{\Omega}|u|^{2}} | 5eb875ccc8cf3de7 | train | human | |
P=\gamma m\dot{r}+eA | 2e95b649817fe11a | train | human | |
P=-\frac{dE}{dt} | 390e2068ade4254a | train | human | |
MR | f2cc928486617cd8 | train | human | |
F^{u_{u}} | cdf8a968918fa8d9 | train | human | |
393^{314}\cdot2^{7}/\sqrt{10} | 9c4a97c04162a2a1 | train | human | |
S<\prod_{i=1}^{k}m_{i} | 72b008a89d12c1ef | train | human | |
7^{7^{7^{7^{7^{7}}}}}+3 | 67ca5f6fbac2003b | train | human | |
J=\sqrt{\frac{kT}{2hcB}}-1/2 | c8ab6f977ba21015 | train | human | |
K_{i}=H_{\pi(i)} | f995580c03f76600 | train | human | |
A\models_{X}^{+}Rt_{1}...t_{n} | e8f574293a867dba | train | human |
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