image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\gamma^{*}=\gamma e^{-i\frac{\pi}{2}} | 452eca3f47426c4c | train | human | |
[D,\overline{S}]=\frac{1}{2}\overline{S} | 79aaacc091911527 | train | human | |
\tilde{G_{0}} | 1e6e82a9bda1924a | train | human | |
\vec{F}=(\vec{m}\cdot\nabla)\vec{b} | 953d3663410dd38a | train | human | |
n^{\overline{k}} | a1efbe47a2e65687 | train | human | |
\Delta(x)>Kx^{1/4} | 95bb7e9532094f47 | train | human | |
\frac{p^{2}}{12\sqrt{3}} | bfd2257e8d004927 | train | human | |
S=-mc\int ds | 012637689fd76058 | train | human | |
q=\frac{a^{3}\omega^{2}}{GM} | b1cd862eaefb76de | train | human | |
(7+142)^{5}\cdot2-4 | 9654ed3c07769de5 | train | human | |
||x||=||x^{*}|| | ead4d60803bb64f6 | train | human | |
v=\frac{q}{\sqrt{1-\frac{p-H}{2H_{m}}}} | 6bbfe401bfb39974 | train | human | |
(8\cdot119)/5-319^{97} | f8d2dc9efd32ca4c | train | human | |
\hat{z}=\pm\hat{p} | a22ccfcf9122f86e | train | human | |
A|B | 36c56fd0833e7140 | train | human | |
\frac{\partial\rho}{\partial t}=0 | 67349fa0bd9f4629 | train | human | |
\sqrt{4}/437^{395^{439}} | 0a52dd1f72a6982f | train | human | |
v_{2}=[\begin{matrix}0\\ 0\\ 1\\ 0\end{matrix}] | 83e787b63fea781c | train | human | |
\frac{1}{\sigma_{n}^{2}}P\cdot L | a2906ad9276967be | train | human | |
\tilde{g} | 385b24f6a9e8534c | train | human | |
g(f(k))+O(|x|^{c}) | 7957c941212328f4 | train | human | |
s\{\begin{matrix}p\\ q\end{matrix}\} | 21750b6ce64a2b34 | train | human | |
P=-\frac{\partial F}{\partial V} | 3a58f69788d4230f | train | human | |
(\frac{\frac{3}{5}}{335})^{\frac{315}{2}\cdot5} | 68dd52154d045c5e | train | human | |
x_{i}+\sum\overline{a}_{i,j}x_{j}=\overline{b}_{i} | 2ae6cd73be59310c | train | human | |
\sum_{j}p_{j}R_{ij} | 3c7c51ef60d0253d | train | human | |
\omega_{\hat{M}\hat{N}P} | 2bf976a9a90bf85d | train | human | |
\frac{r^{\prime}}{\sqrt{0+\frac{r^{2}}{9}}}\ge0 | 30632f556c22b998 | train | human | |
tr\{\begin{matrix}4\\ 3\end{matrix}\} | e510ef8277d0e890 | train | human | |
(A_{1},i) | 76f2d0624fdcb471 | train | human | |
>\sqrt{x} | cf60b7ddc370917c | train | human | |
d\sigma:\frac{\partial f}{\partial\sigma}\ge0 | a60cafb5c9041a1c | train | human | |
a^{l}B\subset a^{l+1}B+A | fe93fee00b509960 | train | human | |
\overline{T} | ea8a0032435a1aa6 | train | human | |
\overline{\frac{\partial(\overline{r_{h}}\cdot r_{h}^{\prime})}{\partial x_{h}}}=0 | cae011fd70d9bad0 | train | human | |
\frac{J_{m+\frac{n-2}{2}^{(Rr)}}}{(\frac{Rr}{2})^{\frac{n-2}{2}}} | 8a2d4958edd7b098 | train | human | |
\frac{\alpha}{\alpha+\beta}B+\frac{\beta}{\alpha+\beta}b | 5d7adb865c74250b | train | human | |
b_{y}^{\mu} | a38f740897e536e7 | train | human | |
RP_{m} | 1842ff111f0ca800 | train | human | |
\frac{\sqrt{5N}}{6} | 7b96fa203e9c296d | train | human | |
\frac{du_{\theta}}{dt}=-\frac{d\theta}{dt}u_{\rho} | 955e848c55dd3f8d | train | human | |
T_{h}=2T_{h-1}+1 | 267c65b746626d08 | train | human | |
0\le N<(\begin{matrix}n\\ k\end{matrix}) | d1a7dd2434f6fdc0 | train | human | |
x\mapsto\sqrt{1+x^{2}} | a1c2d45e6ed98959 | train | human | |
N(\mu,\sigma_{v}^{2}) | 6e4fd86ac16eac2b | train | human | |
(\begin{matrix}1&0\\ 1&-1\end{matrix}) | aa7c294442fe3071 | train | human | |
|I,J,m_{I},m_{J}\rangle | 2d9d1026544517fd | train | human | |
\sqrt{k} | a4cb571c1b61de8f | train | human | |
\prod n_{i} | 271d5634c3f696e3 | train | human | |
a=\frac{0.427R^{2}T_{c}^{2}}{P_{c}} | ec8e7877305a4723 | train | human | |
A_{1}+\cdot\cdot\cdot+A_{n} | fc0a8dd8ef02f14e | train | human | |
{d^{\chi}}^{m} | acd872cbfc3954dd | train | human | |
(\begin{matrix}c_{i}\\ i\end{matrix}) | 8333d286a2b39632 | train | human | |
h_{B_{1}}(x)=|x| | a573d4048bda0407 | train | human | |
F[x,y]=\int_{E}xydt | 5273b56d4e1b2492 | train | human | |
N^{1/3}a_{H}\simeq0.2 | 5569bb7f0576bd3d | train | human | |
p,a_{1},a_{2},..,a_{n},q | 85723a1ab2391945 | train | human | |
X_{R}\rightarrow Spec(R) | 3688f13ac3c3f2ef | train | human | |
x=\frac{mw}{\sqrt{1\cdot\frac{w^{5}}{c^{5}}}} | f30dbd54235d6084 | train | human | |
\tilde{I}=I | dcce4749d0ca8b31 | train | human | |
\tilde{C}_{9} | ed9daaf05f4515ba | train | human | |
2+\frac{24}{\sqrt{13}} | 5c3af6a179af6e4e | train | human | |
\tilde{\chi}(t)=\tilde{\rho}(t)R_{0} | 4f9e31722924bea6 | train | human | |
294^{294^{294^{294^{294^{297}}}}} | 169f7a5b7071aa0e | train | human | |
p_{c}=\frac{1}{\langle k\rangle} | 278ce18dee017dcf | train | human | |
\frac{270-87}{78}+(\frac{9}{6})^{17} | fd9eb743899519b4 | train | human | |
\frac{d^{2}\theta}{dt^{2}}=\frac{cos\theta}{sin^{3}\theta} | b3f2fd5ace608f26 | train | human | |
lim_{k\rightarrow+\infty}f_{k}(x)=1 | e7563d64ab0d4b45 | train | human | |
\frac{d\beta}{dt} | 5fa9f4f239b32a6d | train | human | |
y=\int f(x)dx | 191a1ce159e96e42 | train | human | |
X=[\begin{matrix}0&1\\ 1&0\end{matrix}] | e54c6d83c4f0d882 | train | human | |
\tilde{v}=dx^{(4)}/d\tau | 34f9f11df52e7eb5 | train | human | |
\tilde{f}:F*G\rightarrow G | bb7f93501571d2a8 | train | human | |
T_{\nu...}^{\mu...} | ae4dbad1f50f106d | train | human | |
y=\int_{0}^{2}xdx | 7b568d3e1e18c631 | train | human | |
\mu_{i,j}:=\frac{\langle b_{i},b_{j}^{*}\rangle}{\langle b_{j}^{*},b_{j}^{*}\rangle} | 8e6961a3235af2b4 | train | human | |
\tilde{C}_{1} | 661da0f23543d457 | train | human | |
\eta_{ij}=\frac{\mu_{ij}}{\mu_{00}^{(1+\frac{i+j}{2})}} | 2e4f7c2360feea07 | train | human | |
\hat{J}_{a} | bbd781fa56f72813 | train | human | |
\frac{e^{\cdot\frac{9}{x^{5}}}}{x} | dc93006339f72ab7 | train | human | |
\int_{a}^{b} | 279e10a7f8d2da51 | train | human | |
f(x)=\frac{e^{-x}}{(1+e^{-x})^{2}} | 73bd28ec67c406e2 | train | human | |
|D[f_{S}]-D[f_{S^{i,z}}]| | 240c604bb9519cbc | train | human | |
\hat{\xi} | 576f59a183fe0805 | train | human | |
v_{g}=\frac{1}{\frac{1}{v_{g_{9}}}+\frac{bt}{f}} | f0b8cbdd5d476ede | train | human | |
\oint_{C}v\cdot dr=0 | 9ba3ed3d16733a13 | train | human | |
tr(A^{*}A)=0 | fea504e4adbf308b | train | human | |
\tilde{\phi}\circ\omega_{U}=\omega_{V}\circ\phi | a19fb0f1ab92e867 | train | human | |
C(x,v,t)=x-vt | d8970f4cfd00ad0c | train | human | |
\pi=(\pi_{i}) | bc2f9cffb65a7726 | train | human | |
m^{2}\phi^{*}\phi | 92eab6644a864ccb | train | human | |
\pm1/\sqrt{2}=\pm0.70... | 38e4b039df40e913 | train | human | |
A=[\begin{matrix}1&1&0&2\\ -1&-1&0&-2\end{matrix}] | 431952cb90ac867d | train | human | |
(\frac{\frac{82}{\sqrt{343}}}{287}\cdot\frac{378}{9}) | 2bdd877b08804709 | train | human | |
\tilde{\phi}\circ\omega_{G}=\omega_{H}\circ\phi | 2eb753d8c310ca74 | train | human | |
[G*,\frac{\partial}{\partial s}]=0 | 5c21c3d45b58d3d1 | train | human | |
X=\sum\psi_{i}\cdot X_{i}. | c15f299b879cb065 | train | human | |
m=\frac{m_{9}}{({1\cdot\frac{v^{5}}{c^{5}})}^{4/5}} | b8fde8dfd4155564 | train | human | |
deg(h)=k<d | f1265e5a1c4572e0 | train | human | |
\mu\pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} | f85edff32ecc22c4 | train | human |
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