image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\{{e_{(a)}}^{\mu}\} | 374fe2ee6dd3c0a5 | train | human | |
\frac{1-m^{2}}{m}Z | 8aec3c2cfe0646e4 | train | human | |
((\frac{5}{7})^{\sqrt{215}})260\cdot410^{207} | b682ac6a5423b873 | train | human | |
P(Q-Q^{\prime}) | 1ee7bd411ae0e2c0 | train | human | |
{94^{\sqrt{6}}-92}^{(229\cdot10)} | 82450c71f26b1749 | train | human | |
(\begin{matrix}a\\ r\end{matrix}) | d8f475d116bfdec6 | train | human | |
\sum\frac{1}{4n+4} | 03d0e2cc3928d171 | train | human | |
\tilde{G}(s) | 1b6defedc69235fc | train | human | |
\tilde{f}(p,q)=f(q) | db4afb20dbbd70e0 | train | human | |
M=\frac{mc^{7}}{\sqrt{4\cdot\frac{v^{7}}{c^{7}}}} | 571180177ca7adc7 | train | human | |
\sqrt{n}/2 | 89aafb392f9abac0 | train | human | |
\int Fdx | 866c2f777cb10501 | train | human | |
\tilde{f}_{0}() | 6ef714b1087d6881 | train | human | |
\varphi\vdash\neg\psi | c7301b3d39d4af36 | train | human | |
\frac{\pi}{n},\psi | 33930d2685e3ef7d | train | human | |
s=\int\frac{dt}{r(t)} | 8e8c7cf1519dffba | train | human | |
(1)h_{j}=y_{2}-y_{1} | 06f311a9730f2dfd | train | human | |
b=\prod_{p}p^{b_{p}} | d0cab7179b4ff60e | train | human | |
\int_{-3}^{0}(3)dx | db5af63bc539469d | train | human | |
[\begin{matrix}1&-w\\ 0&1\end{matrix}] | 1d85993ab759513f | train | human | |
(261+169+\frac{3}{24}+141) | 84fc159fee689de3 | train | human | |
2^{3*4}=2^{12}=4096 | 01126cba4998132d | train | human | |
F_{\dot{\alpha}\beta} | 9363250de28b986e | train | human | |
\hat{e} | fe52541ce87f9f42 | train | human | |
(\begin{matrix}a\\ a+1\end{matrix})=0 | 102e523354f211ff | train | human | |
\frac{du_{1}}{dt}=\gamma(T_{2}-T_{1}) | a98f1fde9e936e01 | train | human | |
x=c+vt | b17faa536e8300d8 | train | human | |
(\begin{matrix}p\\ i\end{matrix}) | 6cdca9e6415828e1 | train | human | |
\frac{E-M+S}{4M} | 082eb3bf56b36d05 | train | human | |
\hat{C}_{1} | 39b32b3bdc1d0a42 | train | human | |
\hat{A}(t) | 53021f0a23461ef9 | train | human | |
\frac{1}{1+JF^{2}} | ac401e8ba765fe3c | train | human | |
pv^{n}=C | 5246020c77d185c5 | train | human | |
i:\underline{A} | dc65a2d3d92b426b | train | human | |
\sum_{r}x_{ij}^{r}=T_{ij} | 29e4d1b9813faecc | train | human | |
\tilde{E}_{8} | a0039befc1a27bbd | train | human | |
7^{7^{\cdot^{\cdot^{\cdot^{j}}}}} | 51f9ade49a6cd9cd | train | human | |
C_{h}=\frac{h^{2}}{2s} | 4b4e25cc61e8ec05 | train | human | |
\frac{149/3}{3\cdot118} | cdff9880ab2b9760 | train | human | |
\frac{4}{269}/3-{386^{38}}^{9} | e0b2cf30a1cfcc75 | train | human | |
\frac{Z^{\prime}}{Z_{0}}=\frac{Z_{0}}{Z} | 346d17e1d1d787d9 | train | human | |
\frac{\partial U}{\partial V} | ab2f635ee031fd71 | train | human | |
n_{\overline{q}} | f64f9836682045af | train | human | |
(\begin{matrix}\alpha\\ k\end{matrix}) | bc38dab372ad7648 | train | human | |
\tau=\mu\frac{du}{dx} | 8f0f6ef98cd731f3 | train | human | |
\hat{g}\equiv\frac{g}{g} | 61c3048847691f56 | train | human | |
\frac{\eta_{i}}{c} | a0876d88bb47a655 | train | human | |
\Delta z\approx ar\mu^{r-1}\Delta x | a7ddce99605e6174 | train | human | |
18<\frac{S}{L}<20 | 9bf1e4a897c9f7fa | train | human | |
\frac{dN}{dt}=0 | 265c7493108203d9 | train | human | |
(r=1,2,3...) | 57e0a8558d131322 | train | human | |
l_{4}^{l_{2}^{l_{3}^{-^{-^{-}}}}} | e0529dd8fa98bcb6 | train | human | |
q=-k\frac{dT}{dx} | 82f1b0845a2813b3 | train | human | |
\sqrt{\Gamma} | c51d23ce756f6849 | train | human | |
368+8-\frac{483}{\sqrt{206}} | 9601c3c55999453e | train | human | |
E_{k}=\frac{\hbar^{2}k^{2}}{2m_{w}} | 9aaac10a27583a7f | train | human | |
\frac{G}{1+GH} | 0b0e5a4e83e69cab | train | human | |
v(t)=I\frac{dl(t)}{dt} | 761a35de0dd9bbae | train | human | |
1/B | 3180f57f9b376ee9 | train | human | |
\frac{dC}{dt} | 4dc013a28e05c20b | train | human | |
Sim=(Sim_{1},Sim_{2}) | b516b81901f3d516 | train | human | |
\int_{0}^{1}\phi(p)dp=1 | d1482d206f20cab2 | train | human | |
1/p+1/q=1 | c546846e5ee3589d | train | human | |
P=e^{\frac{F-E}{kT}} | 4417458cd512860a | train | human | |
e^{-\frac{3}{5}(\frac{log\frac{x}{x_{4}}}{log\upsilon})^{5}} | 0b04d52e8b058644 | train | human | |
\hat{f}(I) | 2fd95311dd07c9bc | train | human | |
\frac{\partial|\Psi|^{2}}{\partial t}=-\nabla\cdot j | 21ddc50c56479432 | train | human | |
\overline{s}\in\alpha,t\notin\gamma | 063f2737f185b207 | train | human | |
f_{r}(\theta)=F(re^{i\theta}) | 0ac6c803db2f0def | train | human | |
2\pi(\frac{m}{k})^{1/2} | d02a8ac9c8a8cbb1 | train | human | |
\int_{\infty}^{\infty} | afa3d2c98b0cac7e | train | human | |
u | ac287e9c3dbd538d | train | human | |
\sqrt[10]{5} | 8f1c197dde37b852 | train | human | |
\sigma=\sqrt{\sigma_{i}^{2}+\sigma_{j}^{2}} | 144370e450d9aab6 | train | human | |
R=e^{\frac{A}{2}} | 39cc4926e2227c5f | train | human | |
(\begin{matrix}N\\ 2\end{matrix}) | 0dfc97fff8e22d65 | train | human | |
f(a)=\prod q_{i}^{n_{i}} | 225a1764e59cc52f | train | human | |
q_{b}=\frac{d\cdot\hat{n}}{|s|} | df6392e23f635187 | train | human | |
L_{0}=-\frac{\beta}{sM} | 8a657d0200dba421 | train | human | |
S=\int_{0}^{T}E[s(t)^{2}]dt | 3d3e71b2bd58c248 | train | human | |
S\rightarrow S/m_{S}\hookrightarrow k | 1b4fc0b927236e27 | train | human | |
\underline{2} | 1eb87449af97ca6d | train | human | |
p=\frac{h}{\lambda}\hat{k}=\hbar k | 46b895f3ce260024 | train | human | |
o^{-\frac{1}{3}(\frac{log\frac{x}{x_{6}}}{log\varpi})^{3}} | de5485183a4009cf | train | human | |
\frac{dy}{dx} | 0b706817993014f4 | train | human | |
\frac{M}{Re}\ll1 | e1d76c333d067b54 | train | human | |
r_{i}=\frac{1}{C(i)} | d368f3d51a4f6d08 | train | human | |
\prod_{i=a}^{b}f(i) | ad0aee0419875787 | train | human | |
\frac{x:\alpha\in\Gamma}{\Gamma\vdash x:\alpha} | f85c74017aff9067 | train | human | |
\lfloor\frac{x(mod10^{i})}{10^{i-1}}\rfloor | 883a7dbee82afb96 | train | human | |
(\begin{matrix}p+q\\ p\end{matrix}) | f8df664a1130cc09 | train | human | |
-\sqrt{x} | b6ebed78c76d2dc8 | train | human | |
R_{U}\in R_{U}\iff R_{U}\notin R_{U} | d4fc56b52720426f | train | human | |
P=\frac{0.33F_{u}\pi d^{2}}{4} | 2913b142932a823c | train | human | |
F_{b}=-k_{eq}(x_{1}+x_{2}) | 66cc1073fe7fde89 | train | human | |
\underline{\alpha} | ad2fcfa081d85bd8 | train | human | |
D^{2}+\frac{1}{4}[\gamma^{\mu},\gamma^{\nu}]F_{\mu\nu} | 1aad6f7aef115c72 | train | human | |
\frac{ds}{dp}=1+\frac{T}{E} | dabfbcc55b75eb12 | train | human | |
N\equiv\sqrt{\frac{g}{\theta}\frac{d\theta}{dz}} | 5401c5035e50be84 | train | human | |
log|n|_{*}=\lambda logn | 35433dd9f32744f7 | train | human |
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