image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\alpha=\frac{R_{100}-R_{0}}{100R_{0}} | ba488fe90be32f60 | train | human | |
-\sqrt{\frac{3}{10}} | d39d1606bb1450d2 | train | human | |
\mu_{t}=\rho\tilde{\nu}f_{v1} | f28dbb2fffa2464e | train | human | |
\int_{-\infty}^{x_{1}} | 14f648474382f06e | train | human | |
R_{ox}=-C_{R}\rho\frac{m_{ox}}{s}\frac{\epsilon}{k} | e790edee574779f8 | train | human | |
i\notin\Lambda | d6cc9b568e60a389 | train | human | |
\frac{159\cdot10}{363^{347}} | 52db7119b3e6bfba | train | human | |
T=\frac{h_{a}h_{b}}{2sin\gamma} | 2c0d57bba73672df | train | human | |
\tilde{E}_{6} | 8914c01c8a3f4386 | train | human | |
\overline{n}_{4} | b1b9a223148d4591 | train | human | |
(\begin{matrix}N+I-1\\ I-1\end{matrix}) | 65e086393a205a59 | train | human | |
d_{r}=\frac{w}{h^{2}}\times110.8 | 54d23ce67a3365db | train | human | |
\frac{\partial u}{\partial x}(x,y)=0 | 49d5cbda58fb502a | train | human | |
C^{\varphi_{\mu}} | 0f539ac7f32808bc | train | human | |
\frac{\sqrt{5}-\sqrt{106}}{(\frac{2}{429})^{366}} | afddcd93ec93e7a9 | train | human | |
\vec{F}=m\frac{d\vec{v}}{dt} | b59d1aee31e69fdc | train | human | |
\frac{-3\pi}{2} | e0b172c3a96fdec5 | train | human | |
g(n)=\prod_{k=1}^{n}f(k) | 5e0a1b0dbd500e67 | train | human | |
\frac{\partial s_{c}}{\partial t} | e7163c2e565af2d3 | train | human | |
||f-g||_{\infty} | e0a208bad1625d89 | train | human | |
\frac{2^{x}-1}{3x!+x^{2}-1} | 2148efdc9dae921c | train | human | |
p_{i}=\frac{\partial u}{\partial x_{i}} | 7551674dae8c39bf | train | human | |
\frac{dv}{dy} | 881b283768b0d6ae | train | human | |
\frac{\sqrt{a^{2}-b^{2}}}{b} | 380cd0a527c2c8b2 | train | human | |
{k^{l}}^{f} | 00f5e6f5d2cb11d1 | train | human | |
RPF=\frac{U_{PAH}}{P_{PAH}}V | 955ae3bb2c58afd7 | train | human | |
\underline{x}_{0}\in\mathbb{R}^{n} | 12c46cb81baed857 | train | human | |
\frac{\Delta k}{t}=\frac{R^{\frac{4k_{e}}{t}}\cdot1}{R^{\frac{4k_{e}}{t}}+1} | 1a2c99144b5ca6bd | train | human | |
\tilde{u}_{1},\tilde{u}_{2} | 28477872a2332ed8 | train | human | |
\frac{(\frac{89}{1})^{3}}{(413+2)} | 82355ef4ad9d5b83 | train | human | |
\frac{\partial N}{\partial R} | 63251c7b6bfe9857 | train | human | |
=\frac{1}{2}\sqrt{\pi} | 943e37254957163d | train | human | |
t_{r}=t-\frac{|r-r^{\prime}|}{c} | e726ba618e1fddfb | train | human | |
MA=\frac{T_{B}}{T_{A}}=R | da2a2d7042f15b01 | train | human | |
p_{s}\leftarrow min(\lambda x_{s}^{*},1) | d221514082d169ad | train | human | |
\frac{r}{cos(\phi)} | 84bdcef2c733afe8 | train | human | |
\frac{\frac{64}{252}}{(\frac{3}{\sqrt{10}})^{476}} | b521bbcdea1bef0c | train | human | |
P=\frac{m_{3}k}{\sqrt{1\cdot\frac{k^{4}}{c^{4}}}} | 0b76d98aab040dca | train | human | |
393^{314}\cdot2^{7}/\sqrt{10} | 66729744b589a6be | train | human | |
v=\frac{d}{dt}C(t) | dd946a9f58a00480 | train | human | |
k_{x}=\frac{l\pi}{L} | 4ecd6bff902bbec5 | train | human | |
\hat{h}_{k} | a96f84c969f5e0eb | train | human | |
(\begin{matrix}1&0\\ 1&-1\end{matrix}) | 8206ece067c4c082 | train | human | |
\tau=t-z/c_{0} | af75a9f9c67bc0a1 | train | human | |
\{\tilde{e}_{k}\} | 5751eb4407e507b7 | train | human | |
\frac{1}{\sqrt{1\cdot\frac{1}{\epsilon^{4}}}} | dc44018f07716413 | train | human | |
r=\{x|x\notin x\} | 224c40a34327be8f | train | human | |
f(\hat{x},\theta)>f(x,\theta) | 100e64252be20769 | train | human | |
\frac{d}{dx} | 9b310a43c3cb04e4 | train | human | |
|\hat{f}| | 291fd187496857fc | train | human | |
\frac{n-s_{p}(n)}{p-1} | 6249de528d9de4ce | train | human | |
|\alpha,1\rangle | df420185c3818c6a | train | human | |
\frac{n}{\pi}tan\frac{\pi}{n} | d73e4d327da836f3 | train | human | |
AA_{right}^{-1}=I_{n} | fb744ebf6e046863 | train | human | |
\mathbb{Q} | 7a7cd171ee9190df | train | human | |
\hat{x}_{1} | f291218fc9245301 | train | human | |
P\underline{\wedge}Q | a4c2504c790d815c | train | human | |
\tilde{D}_{3} | 7936ae9f5c3ab28f | train | human | |
r=\{x|\{x\}\notin u\} | bdb0fc1292cb3438 | train | human | |
\frac{dm}{dt} | d3026563435365ae | train | human | |
F^{u_{u}} | 1e64a32b0a1389ba | train | human | |
f(t)=-\frac{\partial S(t)}{\partial t} | d1b954d958288a19 | train | human | |
\sqrt{\frac{15}{28}} | f23d839032f759e5 | train | human | |
6-25\cdot7\cdot6 | f82a39a828afb720 | train | human | |
S_{n}=\frac{n(a_{1}+a_{n})}{2} | d9c44d5f157dba6f | train | human | |
\frac{\frac{360^{9}}{6}}{3^{3}} | fb06a549ad263333 | train | human | |
L(\frac{\partial Ri}{\partial z})_{z=0}=1 | 8d9a80905960e4a7 | train | human | |
3x+5y-8=0 | a987c94d52daa01a | train | human | |
\frac{\frac{\sqrt{235}+17}{6}}{(109\cdot6)} | 7768a0f2cf1bea18 | train | human | |
CG | f2743d41da3bea4f | train | human | |
w | 37bf051a510311ca | train | human | |
\int_{i}^{\infty}1/s^{2} | b523695de0d088da | train | human | |
\mathbb{D} | 8698c8ad02d95ac8 | train | human | |
\sum_{S\in S}x_{S} | 9b2d8e61763e8833 | train | human | |
E=E^{0}+\frac{RT}{nF}lnA | f564692b65703033 | train | human | |
|i!|=\sqrt{\frac{\pi}{sinh\pi}} | e71fe52ef1804567 | train | human | |
d=\sqrt{h(2R+h)} | 0e336235b600cc9b | train | human | |
\frac{\partial}{\partial z}P_{c}^{p}(z_{0}) | 170310546c4de625 | train | human | |
\hat{\xi} | 575e3059116baf4f | train | human | |
|d(u)-d(w)|\notin T | 232e5ae9a4554ccf | train | human | |
\frac{v^{\frac{(y-t)^{2}}{6}}}{i\sqrt{6\omega}} | 164962f95178b033 | train | human | |
\mu_{n}=\int x^{n}d\mu | ef095ab6e9e60eab | train | human | |
\Gamma=\lambda_{B}/l_{charge}>1 | 73fce702ee363aba | train | human | |
\prod U_{i} | 4fe359caf0582a6f | train | human | |
\frac{\omega}{c}a<<1 | 09712bc9c65f8685 | train | human | |
\frac{\frac{1}{3\sqrt{\pi}}/\sqrt[3]{13/16}}{\frac{1}{\sqrt{\pi}}/\sqrt{2/3}} | de6f6d9aa7f3dd28 | train | human | |
L=\mathbb{Q}(\sqrt{-3},\sqrt{5}) | bb00bd8fdb435005 | train | human | |
\sqrt{1}-\sqrt{7}^{\frac{312^{1}}{9}} | fc4e665b083b648d | train | human | |
K=\frac{[M(OH)]}{[M][OH]} | 5c91df8cd30d66d3 | train | human | |
\hat{S}(n) | 24c06193b13ebcc7 | train | human | |
a=\frac{p}{e^{2}-1} | 752a0be9c74c1cac | train | human | |
\frac{\partial}{\partial x} | 9b76f9e13bba7c0a | train | human | |
T=(\begin{matrix}1&0\\ 1&0\end{matrix}) | dcbdea4c6886e8fd | train | human | |
\frac{\frac{4-5}{341}}{\frac{\frac{62}{5}}{4}} | e256dd467d58fe37 | train | human | |
r=\frac{C}{b^{\int_{i_{3}}^{x}P(i)di}} | 9df55653b8cea7ac | train | human | |
(352+\sqrt{2})^{((2+361)+\sqrt{2})} | 90f896fc8a303c3b | train | human | |
\alpha\in\tilde{P}_{i} | 9da784b03762057a | train | human | |
\sqrt{1-\frac{v^{2}}{c^{2}}} | 9761204aa86112b2 | train | human | |
(20+443)^{9}\cdot\frac{195}{469}\cdot8 | 14d62e8b225eaa0a | train | human | |
\hat{1} | 0ba508979ed7fc2e | train | human |
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