image
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4
512
latex
stringlengths
1
188
sample_id
stringlengths
16
16
split_tag
stringclasses
1 value
data_type
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r_{1}=-\frac{1}{2}
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train
human
\int_{a}^{b}f(x)dx
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train
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((\frac{126}{\sqrt{7}})^{413}-5-182-461)
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train
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[j\epsilon,(j+1)\epsilon]
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train
human
\hat{F}
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train
human
\frac{{409^{7}}^{142}}{{7^{276}}^{62}}
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train
human
d_{jk}=\frac{A+B-2J}{A+B-J}
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train
human
\frac{dy}{dx}=F(x)
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train
human
Re\langle Ax,x\rangle\le0
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train
human
R=\sum a_{ij}R_{i}^{*}R_{j}
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train
human
S=\frac{R-T}{DR}
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train
human
V(r)=\frac{e^{2}}{4\pi\epsilon_{r}\epsilon_{0}|r|}
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train
human
\hat{f}(n)
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train
human
\sqrt{x^{2}+c}=\pm ix+t
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train
human
t=\frac{a-x_{r}}{h}
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train
human
\int_{a}^{b}f(x)d_{h}x
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train
human
\frac{1}{d^{*}}=\frac{1}{d_{1}}+\frac{1}{d_{2}}
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train
human
\frac{2}{5\sqrt{6}}\times\frac{\sqrt{6}}{\sqrt{6}}
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train
human
\langle\hat{T}\rangle
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train
human
(20+443)^{9}\cdot\frac{195}{469}\cdot8
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train
human
\gamma=\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}
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train
human
=lim_{n\rightarrow\infty}(1+\frac{1}{n})^{nx}
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train
human
\underline{v_{col}}=0
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train
human
\int e^{x^{n}}dx
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train
human
{1^{10}}^{\frac{500}{8}-234}
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train
human
\{\begin{matrix}4\\ 3\end{matrix}\}
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train
human
\tilde{G_{0}}
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train
human
C_{D}=\sigma_{D}^{2}I
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train
human
D=\prod_{i=1}^{n}D_{i}
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train
human
F_{electric}=en_{e}\nabla\phi
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train
human
0\notin S^{n-1}
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train
human
\rho_{A_{1}...A_{r}}^{J_{A_{k_{1}}...A_{k_{o}}}}
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train
human
|x-\frac{p}{q}|>\frac{c(x)}{|q|^{d(x)}}
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train
human
\tilde{C}_{6}
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train
human
\int_{S}FdS
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train
human
n=[\begin{matrix}0&1\\ 1&0\end{matrix}]
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train
human
\frac{d}{da}
fa9f995d6f4cd8c6
train
human
Q=\int j_{0}a^{3}d^{3}x
f3c9d4b5367d8aab
train
human
\hat{e}_{j}
71d82c6e97d8301a
train
human
x=\frac{r_{1}^{2}-r_{2}^{2}}{4c}
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train
human
(\begin{matrix}1&1\\ -1&0\end{matrix})
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train
human
BE=3*a-a^{3}
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train
human
\tilde{A}_{5}
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train
human
\frac{2-a}{\sqrt{2-2a}}
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train
human
d[x(3),x(j)]<r
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train
human
\frac{(491+441)}{\frac{275}{5}}
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train
human
0.584\pm0.005
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train
human
\prod_{i=1}^{N}x_{i}
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train
human
\Gamma
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train
human
\omega_{lab}=\omega_{0}(1\pm\frac{v}{c})
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train
human
\frac{2}{\tau_{0}}=\frac{2e^{2}\omega_{a}^{2}}{3mc^{3}}
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train
human
(\begin{matrix}X+n-1\\ n-1\end{matrix})
c85bfd1fa48bc32e
train
human
\frac{\frac{(312-2)}{5}}{(\frac{1}{2}+327)}
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train
human
M,\hat{d}
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train
human
\int fdg
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train
human
B_{n+1}=\sum_{k=0}^{n}(\begin{matrix}n\\ k\end{matrix})B_{k}
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train
human
\frac{d(volume)}{d(pressure)}
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train
human
\frac{9}{5}+\sqrt{\frac{9}{5}}=3.1416^{+}
35dd0fcd2dd4794b
train
human
\tilde{H}(q,I)
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train
human
m=\sqrt{m^{2}}
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train
human
D\{J\}\subseteq\tilde{D}
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train
human
cm\cdot\sqrt{Hz}/W
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train
human
\frac{(\frac{9}{6}+309)}{\frac{10}{10}}
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train
human
P\propto\frac{1}{V}
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train
human
\frac{d^{0}}{dx^{0}}f(x)=1
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train
human
|\hat{f}|
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train
human
({\sqrt{56}^{5}}^{1}+10^{\sqrt{5}})
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train
human
Y_{n}=\frac{S_{n}}{n}
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train
human
z=\pm\sqrt{R^{2}-r^{2}};
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train
human
\hat{y}\in\{-1,1\}
d2c004d3969fe886
train
human
(\frac{5-205}{29}-\frac{179}{4})
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train
human
\frac{\partial^{2}}{(\partial x^{i})^{2}}
43566ac1ba65b381
train
human
\int f^{+}-\int f^{-}
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train
human
\int_{0}^{a}sinxdx
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train
human
\mathbb{G}
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train
human
\int ydA=0
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train
human
p_{3}=\frac{1}{q_{3}(1+m_{1})}
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train
human
f(E[X])
170575e60d0b1a53
train
human
\frac{sin(x)}{x}
e384776cff3192a6
train
human
\sum_{k=0}^{\infty}T_{nk}T_{km}=\delta_{nm}
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train
human
{(\theta^{r})}^{4}
caa4f1fb1abf4378
train
human
\frac{p}{q}=\Omega
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train
human
\frac{dp}{dr}
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train
human
\psi=(\nu Ux)^{1/2}f(\eta)
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train
human
(\begin{matrix}6\\ 5\end{matrix})
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train
human
\frac{1\cdot394^{5}}{\frac{\frac{7}{272}}{177}}
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train
human
\tau_{g}^{\delta}
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train
human
\frac{\overline{Y}_{2}-\overline{Y}_{1}}{\sqrt{\sigma_{1}^{2}/n+\sigma_{2}^{2}/n}}
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train
human
[L_{z},Y]=-iX
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train
human
Q=-k\frac{dT}{dz}
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train
human
tr\hat{ai}
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train
human
\prod_{i=0}^{n}Y_{i}
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train
human
\frac{dx}{dt}
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train
human
w=\frac{u+v}{(1+\frac{uv}{C^{2}})}
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train
human
\hat{D}
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train
human
[\begin{matrix}1&0&0\\ 0&1&0\\ 0&a&1\end{matrix}]
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train
human
t^{t^{\cdot^{\cdot^{\cdot}}}}
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train
human
(a+\omega)
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train
human
|00\rangle
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train
human
\sqrt{X}
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train
human