image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
-\sqrt{c} | 9436b2b04de8fd42 | train | human | |
f(x)=\int_{a}^{x}g(t)dt | 0e2fa51c4248989c | train | human | |
\int_{\Omega}u_{j}u_{j}=1 | c9e14b59dcb1e23c | train | human | |
g=\prod_{i\in I}(X-\alpha_{i}) | 5ae1ceb7b1fa1bd0 | train | human | |
\overline{y}=\hat{\alpha}+\hat{\beta}\overline{x} | 2f773fe7f27574d4 | train | human | |
[\begin{matrix}\eta_{1}+1\\ -\eta_{2}\end{matrix}] | eeb986ea6ce640db | train | human | |
G:=-\frac{\partial(U-V)}{\partial A} | 1cd11c58df4a0124 | train | human | |
\varphi | 493d73c802ca1f2e | train | human | |
\frac{\partial L}{\partial q}=0 | 9ac78bd5f0fb3847 | train | human | |
[A]_{0}=[A]+[AB] | 4973ec1eb4bd69ea | train | human | |
\int_{E}f\mu | 1149030c04e68a26 | train | human | |
\Delta G_{DF} | 43378b881c4d758b | train | human | |
(b_{1}-d)-(a_{1}-d) | cf279233397384be | train | human | |
\hat{S}_{n} | 2e60b5f029741e85 | train | human | |
(\frac{n}{m}) | b16ad330bb9cc987 | train | human | |
(\begin{matrix}p\\ r\end{matrix}) | 247a4d26295cfa1a | train | human | |
B_{1}=-\frac{1}{2} | 31a5d52324393685 | train | human | |
m_{zal}=\frac{m_{5}}{\sqrt{1-\frac{p^{6}}{c^{6}}}} | 6f9ea266265d6bb8 | train | human | |
\frac{dv}{dr} | df437a795957e0bd | train | human | |
f(x)=\frac{b(x)}{B(x)} | 08777eb6737ae774 | train | human | |
\overline{\Phi}(s;\tilde{L})=1 | 7738a7afa35709ec | train | human | |
\underline{m}=\{1,2,...,m\} | 842359d2617a904f | train | human | |
-\sqrt{E_{b}}\phi(t) | 2636e8c5c320b88d | train | human | |
r=1/x | d64ea79faeed2f92 | train | human | |
\frac{\Delta k}{t}=\frac{R^{\frac{4k_{e}}{t}}\cdot1}{R^{\frac{4k_{e}}{t}}+1} | 2d5d144a5a913ef9 | train | human | |
[\begin{matrix}0&1\\ 0&0\end{matrix}] | de6f33f53cf3c5dc | train | human | |
\partial_{y}=\frac{\partial}{\partial y} | 5850321722bf83c4 | train | human | |
Pr(v\in S)\ge\frac{1}{k} | d1af0c3642fc84aa | train | human | |
{7^{112}}^{\frac{\sqrt{5}}{\sqrt{10}}} | e2457a3ac2432c93 | train | human | |
\hat{D}=D | 57abdd0a7e504268 | train | human | |
(a\pm\sqrt{a^{2}-4})/2 | 433527618930974b | train | human | |
\frac{dx}{dt}=x | 52ed90ba16818995 | train | human | |
\nu_{M}:M\rightarrow BO(k) | 9cdb413d45b26b4e | train | human | |
f(t)? | ddca600bc4698f14 | train | human | |
\overline{x}=\frac{M_{10}}{M_{00}} | 744e56a9f01b763b | train | human | |
\frac{\sqrt{x+2}}{x^{2}-3} | f20d265a6a89acc2 | train | human | |
\vec{a}=N\vec{V}_{r}\times\vec{\Omega} | ecf17a60d84e65fb | train | human | |
I=\int Fdt | a93aedc6405f6c14 | train | human | |
[\begin{matrix}a&b\\ c&d\end{matrix}] | 995f0fe67645fa5c | train | human | |
\Delta s=\frac{dP}{dT}\Delta v | ddeb17744c72b409 | train | human | |
(\begin{matrix}n\\ k\end{matrix})+(\begin{matrix}n\\ k-1\end{matrix})=(\begin{matrix}n+1\\ k\end{matrix}) | 055940b6a1239b49 | train | human | |
m_{rwl}=\frac{m_{0}}{\sqrt{7\cdot\frac{g^{8}}{c^{8}}}} | ee30fba734c38bca | train | human | |
(\begin{matrix}c_{k}\\ k\end{matrix}) | 5ab12fe7d56927d9 | train | human | |
V^{2}=\frac{2kb(a+b)}{Ma} | c69def07fd2feb8f | train | human | |
\sum_{n=1}^{\infty}\frac{1}{n} | ad2e2ea2678b0e5e | train | human | |
i_{1}^{\prime}=\frac{i_{1}\cdot vt_{1}}{\sqrt{1\cdot\frac{v^{8}}{n^{8}}}} | a2ba59b94788db7b | train | human | |
\frac{d^{2}x}{dt^{2}}=-sinx | 5488bdc00181c788 | train | human | |
\tilde{\eta} | 3c31d19e73c7a2d2 | train | human | |
\phi(p)=\frac{e^{-\frac{p^{5}}{5}}}{\sqrt{5\epsilon}} | f518a77188bd8084 | train | human | |
\tau=\mu\frac{du}{dx} | c23d35448579aa37 | train | human | |
\frac{dx}{dy}= | 2d65f9b34eed9580 | train | human | |
\int_{0}^{x}1dt=x | eefca94a0127dc24 | train | human | |
w_{z}^{\psi} | fe3d2be0acf404c3 | train | human | |
\sum_{i=1}^{n}S_{i}S_{i}^{*}=I | 9ed9f42f6e248a44 | train | human | |
\beta(A^{T}\cdot) | 0c4583003ac59b9e | train | human | |
n![z^{n}]g_{m}(z)=[\begin{matrix}n\\ m\end{matrix}] | 7075f88f27db3bc7 | train | human | |
F(u,\lambda_{0})=0 | 036cd16ac020a4be | train | human | |
\frac{\mu^{2}}{2\sigma^{2}}+ln\sigma | 9f96ae787cd685b0 | train | human | |
\sqrt{\frac{\sum{A_{f}}^{2}}{n}} | 0613fc23963319f7 | train | human | |
-\frac{1}{b} | 4ffe52fbd61c21ee | train | human | |
g:=f^{\frac{n-1}{n}} | 20635f8005a9abb0 | train | human | |
\int_{0}^{a}sinxdx | 2d2d61f7edcd90cc | train | human | |
\sqrt{\frac{\alpha\lambda}{\beta}}(x-\mu) | e773824ffd3f3ec1 | train | human | |
R_{0}=\sqrt{x^{2}+y^{2}+z^{2}} | af79620a4f726be2 | train | human | |
\int_{1}^{\infty}x^{-x}dx | eb9d7eebb240986f | train | human | |
Pe=\frac{F}{D}=\frac{\rho u}{\Gamma/\delta x} | 8f6db2dcc4299455 | train | human | |
\frac{\partial^{2}C_{i}(q_{i})}{\partial q_{i}^{2}}=0 | 26119abb256939c6 | train | human | |
z(v)\ge deg^{+}(v) | 480c0abf25466926 | train | human | |
\hat{a}_{1} | 83ce5cbe26e648a6 | train | human | |
r=(1+\frac{i}{n})^{n}-1 | 581741064ff0ae46 | train | human | |
\frac{v}{c}=\frac{b}{a} | 7fc9d5666150eb00 | train | human | |
3^{3^{3^{3^{46}}}} | 15ec1f58f140f94b | train | human | |
|1-\lambda R(\underline{k},\omega)|<1 | d270ef61ba709003 | train | human | |
\sqrt{64} | fe008cb32d866d79 | train | human | |
j=1,..,n-1 | 1131fa36c0687e14 | train | human | |
\frac{4\zeta m}{\sqrt{1-\frac{0m}{vu^{0}}}} | b0d5af6f53548c7a | train | human | |
\frac{317^{\sqrt{385}}}{78}-(454-\sqrt{6}) | dc4eaf049f1c392d | train | human | |
[\begin{matrix}4&6\\ 3&5\end{matrix}] | 56c9a040d0f1fb2d | train | human | |
a^{2}-Nb^{2}=k | 3a1340e6c8b8e9a3 | train | human | |
kx^{\prime2}/z | 5edc6cd7cf76ffe2 | train | human | |
\frac{\frac{5}{365}}{\frac{448^{119}}{3}} | 23bf44a390a6016f | train | human | |
\int d^{3}r | a2c1da4fa31062c4 | train | human | |
\theta=\frac{\mu_{1}-\mu_{2}}{\sigma} | b29a4252d9d94132 | train | human | |
\overline{m}_{a} | a11234798ae04a24 | train | human | |
\tilde{E} | 6f16715368d7df81 | train | human | |
f*g=f^{*}(-t)*g | 7a7cd05fcfc900b7 | train | human | |
\sqrt{x^{7}}+x^{2} | 25e728163e2b4fa6 | train | human | |
\frac{ds}{dt}=0 | 33bcb812d824eb01 | train | human | |
s=\int ds | 83f591a1ec76f0af | train | human | |
\frac{\frac{9}{60}}{(303\cdot246)/10} | e9c36346393cf12b | train | human | |
G_{\mu\nu}=8\pi\frac{G}{c^{4}}T_{\mu\nu} | 634984b2030fd100 | train | human | |
\mathbb{C}[x_{1}^{\pm1},...,x_{n}^{\pm1}] | 13d8debef11195e0 | train | human | |
H=-\gamma\hbar B\sigma_{3} | 6a2ce93c6f1b7d0b | train | human | |
T^{t}=e^{t\frac{d}{dx}} | e5982288ce1b3fca | train | human | |
\frac{(x-X)(y-Y)}{(x-Y)(y-X)} | 848e56a03944e949 | train | human | |
(\begin{matrix}p\\ r\end{matrix}) | e32d2f52eb0a156b | train | human | |
\frac{F}{EI}=\frac{\pi^{2}}{L^{2}} | a555bbe3eff4a099 | train | human | |
sup_{||u||=1}|B(u,v)|>0 | 21904ec7f3e4e929 | train | human | |
C_{i}=\frac{N_{i}}{V} | c71774ac8c2fdd6e | train | human | |
p_{y,0}=\frac{eE_{0}}{\omega} | c178cedc5195d897 | train | human |
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