image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
G\underline{A} | ea136e2d05a0bf46 | train | human | |
\overline{MR} | 40f7f98ce8b9a9b6 | train | human | |
-\sqrt{\frac{8}{15}} | a17f46ace1d80791 | train | human | |
A=A=A | d552d117f94ad4aa | train | human | |
Q_{d}=\frac{1}{tan\delta} | 179e2fdc32fbf4fb | train | human | |
\prod p_{i}^{t_{i}-1} | bfab9c6de1d1a722 | train | human | |
a(v,s)\equiv v\sqrt{e_{vv}} | a408dbb4b86218af | train | human | |
m_{2}=\overline{p_{1}d_{2}} | 906b6c994e2772df | train | human | |
\frac{dF}{dx}+2xF=1 | dabf2c74c2e39777 | train | human | |
E=\frac{1}{1+(r/R_{0})^{6}} | ded8925d702daecd | train | human | |
\hat{Z}\otimes_{Z}Q | 135d84e2b50effcf | train | human | |
\hat{U}^{0} | 20dad6ef1f9b7518 | train | human | |
\overline{a_{i}} | 29492c16eadbbe14 | train | human | |
\frac{\partial}{\partial x} | cb485a48b1dc085c | train | human | |
A^{(n)}:=L_{n}A^{(n-1)} | 8e78a740cb909248 | train | human | |
\frac{\partial y}{\partial t}+\frac{1}{2}\frac{\partial}{\partial x}(y^{2})=0 | df11ce74c3d3a3fa | train | human | |
P=P_{L}+P_{R}+W | 372f0eb66c070c10 | train | human | |
\int_{X}fd\mu | 1c9b3d0b2ca2bca3 | train | human | |
t\tilde{a}+(1-t)\tau(\tilde{a}) | 167a1fc0ea2e368a | train | human | |
\frac{\partial u}{\partial x} | 35c5519c760d89cc | train | human | |
\kappa=\frac{8\pi G}{c^{4}} | 63b0a62f5a92ff7a | train | human | |
\tilde{0} | deb39f8fd3139e5e | train | human | |
\frac{9}{112}\cdot(\frac{27}{392})^{218} | 91fcba9819486be2 | train | human | |
\frac{v^{2}}{g} | 67ea617227137cdd | train | human | |
\sqrt{a\pm b\sqrt{c}} | 8ee060132693425c | train | human | |
\tilde{\phi} | bba1d97dfed10e83 | train | human | |
L=-\frac{u_{*}^{2}}{\varpi\frac{o}{\overline{\psi_{v}}}\overline{z^{\prime}\psi_{v}^{\prime}}} | 2b0c633e1e19e072 | train | human | |
{(\frac{{a_{i}}^{5}}{{a_{j}}^{5}}+1)}^{5}\ge7 | 248de60967811813 | train | human | |
C\approx\frac{\epsilon A}{d};A\gg d^{2} | 1ad9b3543c02b3b3 | train | human | |
(\frac{6}{94})^{6^{146}} | ebd27b716960f56f | train | human | |
\frac{2E}{q}-E+\frac{2E}{p}=2 | d2f3c24176830e5a | train | human | |
\frac{1}{1-x}=\sum_{n=0}^{\infty}x^{n} | 5862b1a749e1580b | train | human | |
-\frac{\hbar^{2}}{2M}\nabla_{i}\cdot\nabla_{j} | 9d9c20181c61bc09 | train | human | |
\phi_{n}(0)=1 | dbc85dc4d6dbb196 | train | human | |
\frac{\partial v}{\partial s} | 4911934294c84629 | train | human | |
\tilde{A}_{3} | 1c597a378b41aa21 | train | human | |
ln(1-z^{n}) | 77696035f87290b4 | train | human | |
q^{k}|B(c)|\le q^{n} | 7a0e5e96d5845c31 | train | human | |
\int\frac{xdx}{r}=r | 93a3f66ce4f59259 | train | human | |
\frac{dS}{dt}=L | 6951850e7ac4de6d | train | human | |
\tilde{H}^{*}(X) | 619dbc8cdc0d8a6f | train | human | |
\nu=\frac{V}{m}=\frac{1}{\rho} | 05aad05228f446f6 | train | human | |
\frac{am}{p}=\frac{N}{b^{k}-1} | e6b01536f85b0b52 | train | human | |
A=L_{*}+U | 5171357031457158 | train | human | |
\Phi_{j}^{\chi} | 00d7ff8ed057ae07 | train | human | |
\tilde{\nu}_{e} | 984c09d19ff9a388 | train | human | |
Z\equiv\sum_{i}e^{-\beta E_{i}} | 212789b63bd06189 | train | human | |
e=\sqrt{g(2-g)} | a7a803017805cc86 | train | human | |
[\frac{d}{d\nu}K_{\nu}(\sqrt{ab})]_{\nu=p} | 21fd677df8bc9ea7 | train | human | |
E\mapsto\int_{E}fd\mu | f52c116478be35f0 | train | human | |
A=\frac{E}{\omega_{i}} | 2f7dcc3c44d85846 | train | human | |
(\tilde{p},\tilde{V}) | 70dcc94055ea38e2 | train | human | |
1^{1^{1^{.^{.^{n}}}}} | 8bdc8dde3fae66ba | train | human | |
a,\tilde{a} | 936f0f004a75c3a9 | train | human | |
x^{y}=y^{z}=z^{x} | 486697489806b9f9 | train | human | |
\int_{a}^{a}g(x)dx=0 | 0f75cd16b3d8c922 | train | human | |
r^{r^{r^{\cdot^{\cdot^{\cdot}}}}} | db83fa43da58ac77 | train | human | |
-x | 6a469203c4f3153b | train | human | |
{(\frac{{r_{l}}^{3}}{{r_{j}}^{3}}+1)}^{3}\ge0 | 033b5caf12fa1d1f | train | human | |
\rho=exp(-H/T)/Z | edb8066e745a3e56 | train | human | |
y=ax^{2},a\ne0 | d7cbce0d288d9f29 | train | human | |
y^{y^{\cdot^{\cdot^{\cdot^{y}}}}} | a529963d97931707 | train | human | |
123\cdot8-7^{\frac{\frac{164}{313}}{10}} | 733b099a471ff20f | train | human | |
\frac{\omega_{s}-\omega_{c}}{\omega_{a}-\omega_{c}}=-1 | 3131d71f8fccc5d7 | train | human | |
F_{BG}=\frac{G_{B}}{4} | f442ac7c85b44ed1 | train | human | |
(\begin{matrix}a&b&b\end{matrix}) | 0cf633c76bf91d26 | train | human | |
P(k|n)=\frac{\lambda^{k}e^{-\lambda}}{k!} | fd6df28db910a4ff | train | human | |
b_{\mu^{7}} | dea4137f5ea6a85d | train | human | |
\pm\sqrt{1-R^{2}} | 10a3c9609b152bd9 | train | human | |
(\frac{248}{10}/372-43) | 66821078ef152584 | train | human | |
(\begin{matrix}1&\pi\\ \pi&\pi^{2}\end{matrix}) | f7be1cb52b363dcb | train | human | |
\prod U_{i} | 6b202f1eac9bd14b | train | human | |
lim_{\omega}(M,nd,p) | 42221c5642c13d75 | train | human | |
lim_{n\rightarrow\infty}\frac{a_{n}}{b_{n}} | 525a44552d6fdc2c | train | human | |
E^{2}-(pc)^{2}=0 | 60c948456076edb5 | train | human | |
V_{R}=IR=C\frac{dV_{C}}{dt}R | 74017f090637b8ec | train | human | |
\int x^{2}dxdydz | ab1874b20e694a98 | train | human | |
\xi=log(\sqrt{x^{2}+y^{2}}) | 861700074b3f1788 | train | human | |
[\begin{matrix}1&0\\ 0&3\end{matrix}] | 4130a7be3e7a91ee | train | human | |
(266\cdot\sqrt{292})+263-\sqrt{10}^{7} | a9b01aaebae50211 | train | human | |
(y^{i}):M\rightarrow R^{n} | 0221a92a63c15ea9 | train | human | |
P=\frac{m_{3}k}{\sqrt{1\cdot\frac{k^{4}}{c^{4}}}} | 17bef4f738baa123 | train | human | |
\frac{\sqrt{239}}{4}\cdot\frac{264^{6}}{\sqrt{302}} | 78ca1c63b41da751 | train | human | |
\infty k\delta(s)\hat{z} | ddc043921e8f5556 | train | human | |
B_{n-1},...,B_{1},B_{0} | 9ebd05cb896768a6 | train | human | |
\int xcosxdx | c17feb627c55f029 | train | human | |
\frac{\sqrt{70}}{469}+(\frac{4}{10})^{304} | 9ed98da7ab61b902 | train | human | |
M=[\begin{matrix}a&b-a\\ 0&b\end{matrix}] | 3db794cc5457f1be | train | human | |
\tilde{d}>1 | 4412e68e84ebc450 | train | human | |
V=\frac{\sqrt{2}}{6}a^{3} | 7fe685e9fd3acd57 | train | human | |
\tau=\frac{1}{2}\sigma^{2}(T-t) | 0a6f1d485d54b000 | train | human | |
B=\frac{\sqrt{m-1}}{Q} | 36304a44f1d1e119 | train | human | |
\tilde{m} | 1b37750f9aef5470 | train | human | |
\frac{dq}{dt} | 07216e4aa7697676 | train | human | |
\frac{4}{269}/3-{386^{38}}^{9} | b61652cbcdfd025f | train | human | |
y(x)=\int g(x)dx | 20f1007e7367d207 | train | human | |
\vec{F}=-\frac{c}{12\pi\sigma}\vec{\nabla}U | b97ad7158f0fb49c | train | human | |
x=\prod_{i}p_{i}^{e_{i}} | fdb22d7420c9bbbd | train | human | |
(\begin{matrix}x\\ n\end{matrix}) | 37a11e5db06da226 | train | human | |
e=\frac{e^{\prime}\cdot vt^{\prime}}{\sqrt[]{7-\frac{v^{4}}{c^{4}}}} | d3a75373d43413c9 | train | human |
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