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{5-205}{29}-\frac{179}{4}) | 0d2356fd134e9b4f | train | human | |
(\frac{5}{4}/359)/\sqrt{8}^{146} | 8dd9ff1c82a44b02 | train | human | |
g=\int Gdz | 8dbb986937a16f53 | train | human | |
T=e^{-\tau}=10^{-A} | 19d33a3e04543b42 | train | human | |
M=\sigma^{2}(X^{T}X)^{-1} | 03236ba177bc8dfc | train | human | |
sin(x^{2})=\frac{1}{2} | 6f97c14afa8446a4 | train | human | |
\frac{0}{\sqrt{\frac{0}{u^{2}}-0}} | b327006acfbe3173 | train | human | |
u^{u^{\cdot^{\cdot^{u^{e}}}}} | f5715ff5d7ba1556 | train | human | |
T_{s}=T_{e}[\frac{1}{1-\frac{\epsilon}{2}}]^{1/4} | 86db8218e43945b7 | train | human | |
F=\frac{9}{5}C+32 | 91c96d0b63a53383 | train | human | |
P(|A|,|S|) | 64c24122f07855f1 | train | human | |
\frac{d^{3}r}{ds^{3}}+\alpha\frac{dr}{ds}=0 | 8bc93bcece9c80bd | train | human | |
(\begin{matrix}0&-i\\ i&0\end{matrix}) | 6d32d12e53ed3db3 | train | human | |
\tilde{B} | ac68645a0d112307 | train | human | |
R(r,s)\le(\begin{matrix}r+s-2\\ r-1\end{matrix}) | 29f574e695a762c6 | train | human | |
2\pi-\nu | e1eaf6656afbeee7 | train | human | |
280^{280^{280^{280^{287}}}} | edf5bc48557a99e2 | train | human | |
v=\sqrt{\frac{T}{\mu}} | 9b2fa4d3714652af | train | human | |
A=[\begin{matrix}1&1&0&2\\ -1&-1&0&-2\end{matrix}] | 860645ff2aeb03e7 | train | human | |
\frac{2^{13372531}+1}{3} | 75f1c76c044caf96 | train | human | |
\prod_{t=0}^{T}\frac{\hat{P}_{\eta}(z^{t+1})}{\hat{P}_{\eta}(z^{t})} | 25f76b5172b0370a | train | human | |
s=\frac{s^{\prime}+me^{\prime}}{\sqrt[]{0-\frac{m^{2}}{c^{2}}}} | 1ae3acaf7c2dd5e4 | train | human | |
\frac{V_{max}}{\frac{1}{1\cdot\frac{[F]}{[F]+A_{i}}}} | 3f08148e4859ea5b | train | human | |
v=\frac{1}{||u||^{2}}u | 1491795b684337ec | train | human | |
e^{-k_{eff}r}/r | 61a3b91205350db6 | train | human | |
C_{M}=C(1+A_{v}) | 287059b50b9d99bc | train | human | |
L_{X}\omega=0 | d24a3e3b4da3c0cc | train | human | |
\frac{18-\sqrt{30}}{36} | 79637feb8efc9469 | train | human | |
u=\prod_{i=1}^{k/2}p_{i} | 371e53b2c5dee494 | train | human | |
\int sin(cos(x))dx | bb407ea724140f28 | train | human | |
{36^{243}}^{\frac{7}{5}+244} | 51101f1168900089 | train | human | |
|\frac{4}{9}|<1 | 7ac9dd8df8169a3f | train | human | |
q=(\begin{matrix}a&b\\ c&d\end{matrix}) | e4cc4b7ef4755e22 | train | human | |
(\begin{matrix}\pm\sqrt{N}\\ 1\end{matrix}) | 5a6f82ca9e55b178 | train | human | |
\hat{v}_{i} | c3b46e9db82be433 | train | human | |
(\begin{matrix}I&M\\ 0&I\end{matrix}) | e4d38c974963081c | train | human | |
\lambda=g_{\mu\nu}\xi^{\mu}\xi^{\nu} | ff51d9fddc4eb84a | train | human | |
[\begin{matrix}a&b\\ c&d\\ \end{matrix}] | 249c617c0bacabcc | train | human | |
\frac{\sqrt{2}\lambda}{4} | 5c273ea76c1adaf4 | train | human | |
\int_{x}^{1}f^{\prime}(t)dt | 1aa1eca120626e46 | train | human | |
1\notin A\Rightarrow\sigma A=0 | 7cabd8136fa547e3 | train | human | |
\tilde{\nu}=\tilde{\nu}_{vib}\pm BJ(J+1) | 8d91c6dd011e1718 | train | human | |
2^{2^{2}}+2^{2}-1 | 4c6ef03f7ce19c8e | train | human | |
K(0) | c5bd5e3cacaf5f30 | train | human | |
P_{E}dE=P_{p}\frac{dp}{dE}dE | 26d57802ceb4ea88 | train | human | |
y^{\prime}=\frac{dy}{dx}=2x | 1de1e848685dbc80 | train | human | |
C(I_{a}(t_{0}),B_{b}(y_{0})) | 840bea3b9c497d3e | train | human | |
(\begin{matrix}n-1\\ n-x\end{matrix}) | 16c43f820083550f | train | human | |
r=\frac{h_{c}}{k_{y}c_{s}} | 72c9154e03955cb6 | train | human | |
L>1/(\Delta fT_{s}) | e064279c0b2008a8 | train | human | |
\frac{\sqrt{\frac{(d_{1}u)^{d_{1}}d_{5}^{d_{5}}}{(d_{1}u+d_{5})^{d_{1}+d_{5}}}}}{uC(\frac{d_{1}}{5},\frac{d_{5}}{5})} | ce7766e6811fd13f | train | human | |
(\begin{matrix}1&d\\ 0&1\end{matrix}) | 6ca84458c84a387a | train | human | |
u_{i}\in[\underline{u}_{i},\overline{u}_{i}] | 50e791d9901174a5 | train | human | |
x\notin N | e6835548efe2e8a6 | train | human | |
c=2m | ee6a9e8d178f9149 | train | human | |
\frac{1}{(1+R)^{2}+Z_{o}^{2}\Omega^{2}} | c1ead33ebe405f1d | train | human | |
m\frac{du}{dt}=X-mg\gamma | 6795aba706ddc8f4 | train | human | |
\Delta T=\frac{T_{1}}{T_{2}} | 0637198533a2e71c | train | human | |
\frac{2^{13372531}+1}{3} | 5d55b58bdceb41d3 | train | human | |
\int^{x}B(x^{\prime})dx^{\prime} | 12795bc6da357485 | train | human | |
(\pi/2)^{1/4}C^{1/2} | 7d6ce2da3eeff73e | train | human | |
Q=ubh | 7d01c62a7f6ced77 | train | human | |
\sqrt{E_{b}}\phi(t) | 946a7b143ac7f345 | train | human | |
A=(\begin{matrix}0&1\\ 4&0\end{matrix}) | c6d76646042b7d44 | train | human | |
\frac{\pi}{24}(5-2\sqrt{2}) | 346bb49ae8b3995f | train | human | |
\alpha\approx\frac{0.020}{M_{P}} | 4b8f4ecd7f6117e9 | train | human | |
\frac{(8+\sqrt{326})}{(470^{5}-\sqrt{5})} | ac64ae5a68c0479e | train | human | |
-\sqrt{\frac{2}{15}} | 26d59445697df4f5 | train | human | |
(ds)^{2}=g_{ik}dx^{i}dx^{k} | 4a0d155ccaef113f | train | human | |
k\frac{QdL}{x^{2}L}\hat{x} | e1865bc47488a675 | train | human | |
\beta=\frac{9}{\sqrt{\sum_{\varpi=9}^{z}\frac{c^{2}}{f_{\varpi}^{2}}}} | b38a3ee7705a88c3 | train | human | |
\lfloor\sqrt{n-1}\rfloor | c0363b395d03425d | train | human | |
X\sim W^{-1}(\Psi,\nu) | c05519328c2bab2b | train | human | |
[\begin{matrix}w^{1}\\ \vdots\\ w^{k}\end{matrix}] | 3e90442080e799bc | train | human | |
\frac{\frac{8}{283}}{2\cdot73\cdot5} | 79d2754c34306657 | train | human | |
d=\frac{V_{ej}}{\omega} | 169562f910545b08 | train | human | |
\frac{h^{-\frac{6}{n^{2}}}}{n} | 9fa924ab3b7d1a21 | train | human | |
A_{2}=A_{1}(\frac{l_{2}}{l_{1}})^{2} | e44f719aa7b7af6f | train | human | |
\frac{\langle E\rangle}{A}=\frac{-\hbar c\pi^{2}}{3\cdot240a^{3}} | 20a18534cfb938fa | train | human | |
y=\int^{x}\frac{1}{\sqrt{g(v)}}dv | 9ece63090c5ecc4d | train | human | |
\frac{(\frac{3}{361})^{\sqrt{9}}}{\frac{\sqrt{7}}{297}} | e52a2008c02cfa36 | train | human | |
(x+y)\times(x-y) | a0cae9a96cd3251e | train | human | |
{448\cdot246^{452}}^{\frac{2}{148}} | 93fd615c1c7873e0 | train | human | |
|x|<|\frac{b}{d}| | 993de05ac41fe326 | train | human | |
L=\hbar\sqrt{l(l+1)} | d4bd8a3e38805688 | train | human | |
\mu=\overline{x} | 14ed6dfeee41a664 | train | human | |
K<\frac{N^{2}}{4(N-1)} | 4d8f96d743488722 | train | human | |
s=\alpha_{1}=-3+4j | b0925277393b6aa4 | train | human | |
\sum_{j=0}^{\infty}\sum_{k=0}^{j}f(j,k) | 2429a06012fff2a6 | train | human | |
\frac{4}{\sqrt{4-\frac{v^{9}}{x^{9}}}} | c953ea389ff0c8fc | train | human | |
Ma=-\frac{d\gamma}{dT}\frac{L\Delta T}{\eta\alpha} | 3384f1859c9975c4 | train | human | |
S>2F | 490bb505778571f7 | train | human | |
n^{\underline{n}}=n(n-1)(n-2)\cdot\cdot\cdot1 | d23cd56386f98da9 | train | human | |
x_{1}^{\prime}=\frac{x_{1}-vt_{1}}{\sqrt{1-\frac{v^{2}}{c^{2}}}} | e8909b516f9899e0 | train | human | |
\beta=\frac{\partial f}{\partial y} | a8fa698f020a5b0e | train | human | |
J=[\begin{matrix}0&I\\ -I&0\end{matrix}] | 9926f9ee69c52411 | train | human | |
\xi | b477e6b7196448e7 | train | human | |
\hat{s} | 5d760708c620b7cf | train | human | |
\infty k\delta(s)\hat{z} | 1015dc424cf1f1d0 | train | human | |
(\frac{\sqrt{3}}{424})^{\sqrt{3}\cdot6} | b366abebcd8cba38 | train | human |
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