image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
Z_{\gamma}^{f} | b97b60bca7f63b12 | train | human | |
\rho(u)=\frac{1}{\sqrt{1-\frac{u^{4}}{r^{4}}}} | 161b48bbf22eda3a | train | human | |
F(X)=\prod_{i=1}^{s}f_{i}(x) | 79863d2785203fdc | train | human | |
(X_{1}+\cdot\cdot\cdot+X_{n})/\sqrt{n} | c9dcf993c83c9c29 | train | human | |
A^{*}=\sqrt{\gamma RT^{*}} | e1cbcb678c883f49 | train | human | |
A=(\begin{matrix}0&1\\ 4&0\end{matrix}) | 53157f075aa240e3 | train | human | |
\sqrt{-i} | 517a83e45dad3b6f | train | human | |
\sqrt{4}^{\sqrt{4}^{\sqrt{4}^{\cdot^{\cdot^{\cdot}}}}} | 8148403a559f05b4 | train | human | |
\frac{\partial\phi}{\partial t}=D\Delta\phi | a6e8a2495fce7da7 | train | human | |
\int\frac{dx}{lnx} | b9ca6860de1ad557 | train | human | |
\frac{(\frac{MW}{N_{0}})}{\rho_{liquid}} | d5ddc36c479f1c20 | train | human | |
Lan_{F}X | f4f0d5f69b753d1e | train | human | |
\tilde{\nu}=0 | 3e53453ad9f75dd9 | train | human | |
A=(\begin{matrix}2&0\\ 0&1\end{matrix}) | f067ca8917ce94ff | train | human | |
z=\frac{2+sT}{2-sT} | 181651a0c7531e3e | train | human | |
Z=\int_{x}f(x)dx | 1ff9d844a37ed20d | train | human | |
x=\sum_{k=1}^{3}\sqrt{k} | 975ccfb9e3271c70 | train | human | |
[\begin{matrix}17&23\\ 11&7\end{matrix}] | b1e731d929da1dad | train | human | |
R[Jt]\subseteq R[It] | ab8287e9d23e9d75 | train | human | |
X=[\begin{matrix}w+ix\\ y+iz\end{matrix}] | f3dd3b99bba97261 | train | human | |
\frac{\frac{7}{448}}{\frac{7}{47}} | 663cba774a4b5960 | train | human | |
(\frac{a}{b}-\frac{c}{d})rel0 | 119c5d792c0be2fb | train | human | |
\beta_{j}^{-}=-min(\beta_{j},0) | 4fa431be7266a893 | train | human | |
2^{2^{2^{f^{a}}}} | 481587aeb4e85725 | train | human | |
\frac{\partial}{\partial t}\rightarrow-i\omega | c033d71970a8b28f | train | human | |
nDCG_{p}=\frac{DCG_{p}}{IDCGp} | 85921c1497949d7f | train | human | |
|\Lambda|_{M}^{-s} | 60336c25ab6ba2ce | train | human | |
(266\cdot\sqrt{292})+263-\sqrt{10}^{7} | 4903a17e477401f7 | train | human | |
(\begin{matrix}1&N\\ 1&1\end{matrix}) | 11a805eee4a5bdc9 | train | human | |
\hat{f}(t) | 2e0b777d88f6c9af | train | human | |
A(x)>x^{\sqrt{2}-1-o(1)} | aba3561464048630 | train | human | |
\frac{\partial f}{\partial\theta}=f\frac{\partial logf}{\partial\theta} | d77d201541b37190 | train | human | |
f_{n}(r)=(1+r/n)^{n} | 4863adf072f0240b | train | human | |
(-1)^{p_{4}r_{4}} | 47ceff58ae802274 | train | human | |
\sqrt{\frac{1}{m}}\sigma | 63b76316a33efda5 | train | human | |
f_{s}\sim\int f_{s+1} | 4c12f876077a2bda | train | human | |
-\int E\cdot dl | cd3cf4f389d38baf | train | human | |
|t|=\frac{1}{2} | 5ac693d7768b4c8d | train | human | |
Da=kC_{0}^{n-1}\tau | b1095afd612f734e | train | human | |
(\begin{matrix}5\\ 0\end{matrix}) | 6e8e6bbb31d8ab28 | train | human | |
\hat{K}(n) | 3023bc446923bc02 | train | human | |
\frac{r^{\prime}}{\sqrt{0+\frac{r^{2}}{9}}}\ge0 | 21d00e750f28fb96 | train | human | |
\underline{u}_{D}*\approx\underline{u}_{1} | 60156eb43b892964 | train | human | |
y^{n}<xB^{k} | 23f4f2abe25381ab | train | human | |
\Sigma_{n=0}^{\infty}\frac{x_{n}}{2^{n}}\in X | d79e4f2cda76a50f | train | human | |
\frac{(\frac{89}{1})^{3}}{(413+2)} | c499dabf8c1eae8e | train | human | |
\hat{\phi} | eb718d184e86be40 | train | human | |
\hat{r_{i}} | a976b260502e15ba | train | human | |
\frac{4}{8}+\frac{6+191}{5} | d1b5b47495d00df3 | train | human | |
\int^{c\in C}F(c,c) | c36aa10ca7a5a515 | train | human | |
\tilde{B} | 3af273e5d0a6f1a6 | train | human | |
A=(\begin{matrix}2&0\\ 0&1\end{matrix}) | a738e2f0a74e6d0a | train | human | |
3(16-8\sqrt{2})r^{2} | 4b5d20bd7a303a10 | train | human | |
\frac{x}{x+1} | 4eb072227025c60e | train | human | |
\delta\int d\tau=0 | ab0282700b26c181 | train | human | |
(\begin{matrix}n\\ 2k\end{matrix}) | d7623899e34dcae9 | train | human | |
\sigma Q_{D}(l_{A}a_{B}+l_{B})l_{D} | cb1f14f961a3f461 | train | human | |
\sqrt{390}^{\sqrt{7}}+\frac{6}{\sqrt{10}} | 021225c29dd01fc2 | train | human | |
J^{(\zeta_{9})} | f1899a0a11181395 | train | human | |
p_{i}(s_{h})\ne p_{j}(s_{h}) | ebfc08147cfe996b | train | human | |
\frac{d}{dt}\frac{\partial L}{\partial\dot{q}_{i}}-\frac{\partial L}{\partial q_{i}}=0 | 1667544d13ac8846 | train | human | |
\int_{\gamma}dz=0 | dc83e7e744d44dce | train | human | |
e^{X}=\sum_{k=0}^{\infty}\frac{1}{k!}X^{k} | 7ac772ae3bd635f8 | train | human | |
A=\frac{s^{2}n(tan(i/2))}{4} | 89985e6bbdd76548 | train | human | |
\overline{S}_{p} | 777fa31b37c8818a | train | human | |
3/\tilde{4} | 9095877d9b04ca5c | train | human | |
\varphi=(1+\sqrt{5})/2 | f63ad7c982dfc470 | train | human | |
\int_{-\infty}^{x_{1}} | d79132485c104738 | train | human | |
\frac{x:\alpha\in\Gamma}{\Gamma\vdash x:\alpha} | 4439d1af0a3c745e | train | human | |
\frac{\frac{\frac{\sqrt{352}}{\sqrt{111}}}{7}}{{4^{336}}^{294}} | 88599f913bed3db2 | train | human | |
7^{7^{\cdot^{\cdot^{\cdot^{u}}}}} | d59240e1201d4d4f | train | human | |
V^{+}-V^{-} | 2c9c806bd440ba34 | train | human | |
|z|=\sqrt{a^{2}+b^{2}} | f691e3697a5a5fb6 | train | human | |
\frac{\partial H(x)}{\partial x}B(x) | 1fcc9bcb6a0aa488 | train | human | |
(\begin{matrix}i\\ u\end{matrix}) | 4029121b67f5329d | train | human | |
\frac{\nabla F}{|\nabla F|} | ad442ca72ed03db8 | train | human | |
f_{xx}=\frac{d^{2}f}{dx^{2}} | f1e69fffa644afcd | train | human | |
\frac{1}{p^{*}}=\frac{1}{p}-\frac{1}{n} | b5630a5feaaeb586 | train | human | |
X:=\prod_{i=1}^{n}X_{i} | d8adcd2eaca1dab2 | train | human | |
(122\cdot80)/\frac{4^{409}}{\sqrt{449}} | e6bfd1e30238d1d2 | train | human | |
\frac{(\frac{7}{51}\cdot3)}{464-480^{\sqrt{86}}} | 6a177be75c9b1ea4 | train | human | |
s_{n}=\prod_{i=1}^{n}\pi_{i} | 181e1768472c3a8d | train | human | |
(1+x)^{\alpha}\approx1+\alpha x | ad2a5c1ce68067cb | train | human | |
\frac{11}{10}480 | 3ecb574ebf494991 | train | human | |
J=(\begin{matrix}0&1\\ -1&0\end{matrix}) | 28b787f83e5a2435 | train | human | |
(\begin{matrix}m\\ r\end{matrix}) | 196450110bc59882 | train | human | |
2(\begin{matrix}n\\ k\end{matrix}) | 162906c7cad7fbfc | train | human | |
[\begin{matrix}A&U\\ V&C\end{matrix}] | d5e05ce10bfe612e | train | human | |
\varphi=(1+\sqrt{5})/2 | a34427f1ec7caac3 | train | human | |
\frac{\partial f_{i}}{\partial x_{j}} | ac18462299fc2a09 | train | human | |
z_{t+k} | 97a82067f41af334 | train | human | |
\int F(x,y,y^{\prime})dx | fe85a5b503a08454 | train | human | |
\overline{x_{i}} | 3d60255516a27795 | train | human | |
((107\cdot51)^{155}\cdot(1+8)) | 08b6c4f02e06d90b | train | human | |
|p| | 66c2fef466a461a8 | train | human | |
\Rightarrow\frac{\partial P(z)}{\partial z}=\rho g | 039bb2ed5fce8bbe | train | human | |
-\frac{8}{x^{6}\sqrt{8-\frac{8}{x^{6}}}} | 054b6a5e6788f08d | train | human | |
\tilde{E}_{0}^{a}=0 | 7947461f906d6d96 | train | human | |
f(x,y,z)=w^{2} | 265a44fe8a006296 | train | human | |
w[T^{*}]y | a7538678e6baa27d | train | human |
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