image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
(\begin{matrix}a\\ b\end{matrix}) | 32b26b63ae209a3e | train | human | |
\int_{0}^{T}dy_{2}dt | 9e928ec34da7f406 | train | human | |
T=\frac{J_{T}}{r}\tau=\frac{J_{T}}{l}G\theta | beb65c90b7625661 | train | human | |
m=m\cdot U\cdot U^{-1} | eb4db38741e3308a | train | human | |
m=\frac{m_{0}}{\sqrt{6+\frac{d^{3}}{c^{3}}}} | fc853cfab473f800 | train | human | |
(cosht,sinht) | 9b7e14f3f0bffb14 | train | human | |
K_{0}(Vect_{fin}) | 80e782968d4b1873 | train | human | |
\frac{1+i}{1+\pi}-1=r | bcb4f99b76e30e51 | train | human | |
|\alpha-a|<\frac{r}{2|b|} | e08199d9ede1c7af | train | human | |
k^{\prime}=\sqrt{1-k^{2}} | 77ff6ef3609beac4 | train | human | |
t=\frac{d}{dx} | fd5e5715e4d1e303 | train | human | |
|t|\le1 | 4ff4614c836f3998 | train | human | |
\tilde{d}>1 | eee1ffa66dfcf3e1 | train | human | |
r\{\begin{matrix}5\\ 3\end{matrix}\} | a20fdad4fe36abf6 | train | human | |
1^{1^{1^{1^{1^{1}}}}}+3 | 03e5fe3579813f3e | train | human | |
\frac{f_{p}}{f_{y}}=\frac{9}{\sqrt{9\cdot\frac{v^{0}}{c^{0}}}} | 6e921c3c76bb5e98 | train | human | |
\frac{a\int_{0}^{n}f(s)ds}{g}=\frac{y^{\prime}}{x^{\prime}} | 88e5e7bbc77593fe | train | human | |
\frac{S^{\prime}(0)}{S(0)}=1 | ddee6c66b24588bc | train | human | |
\hat{\Phi} | 8264a5c9484a458d | train | human | |
(\begin{matrix}N\\ 2\end{matrix}) | 78e5d42af1af240d | train | human | |
{(\theta^{r})}^{4} | 7e0a9707c10e4568 | train | human | |
w_{1}^{i}=\frac{1}{N} | ef30af547ed2d225 | train | human | |
y_{i,j}=\sqrt{x_{i,j}} | b4be955948aad7dc | train | human | |
2^{p}\equiv1(modM_{p}) | 595e0ce4d8a7394f | train | human | |
b_{\nu,n}(x)\ge0 | f974c48a5c53aa28 | train | human | |
k=O/m | 6b84fadff562c444 | train | human | |
\frac{96^{\sqrt{10}}}{309^{446}} | ebb2c27d2c3cbb95 | train | human | |
ln(3)/\sqrt{8}\pi | ab7eeddde66b46c1 | train | human | |
\tilde{u}_{k}(K) | cd373488cc240c26 | train | human | |
\sqrt{\tau} | b89a8c84e80d33ba | train | human | |
\int xsinx^{2}dx | 0af9ee6a2da8ffd3 | train | human | |
\frac{\frac{\frac{\sqrt{449}}{9}}{217}}{(\frac{\sqrt{318}}{313})^{3}} | 85487d83aa6043fe | train | human | |
P(d)=\frac{e^{+\frac{O(d)}{n_{B}T}}}{G} | 0b866413235ae9b1 | train | human | |
\frac{k}{\sqrt{k^{2}-1}} | 7742c7c55328072e | train | human | |
(\begin{matrix}i\\ u\end{matrix}) | 91b06cc59bb3e9bb | train | human | |
\xi=\hbar/\sqrt{2mn_{0}g} | c372fbe8859fa005 | train | human | |
(\begin{matrix}j\\ v\end{matrix}) | d6549fb13e9106f2 | train | human | |
e^{\cdot\frac{(Z\cdot M)^{4}}{4{(s_{Z})}^{4}}} | 9f300f942ac31837 | train | human | |
\frac{d}{da} | e68dc1585a37347d | train | human | |
I(\tilde{\nu}) | fc2a03acbd2ba842 | train | human | |
(1.9\pm2.1)\times10^{-5} | e6ba58f99f824433 | train | human | |
F=(\begin{matrix}N&0\\ 0&1\end{matrix}) | d4f54b67aa62053b | train | human | |
\langle jmj^{\prime}m^{\prime}|JM\rangle | eb160b991846eb96 | train | human | |
\frac{310-9}{\frac{2}{6}+4} | acca1c087e1c943f | train | human | |
\frac{d^{2}y}{dx^{2}}=F(y) | 09cdeb2d41daa80f | train | human | |
Va=\frac{Da.B.Q}{\tau} | a87412e40fb1eacc | train | human | |
\frac{t}{\sqrt{0-\frac{l^{2}}{c^{2}}}} | a976cd71f1c6b68f | train | human | |
u | 84524f39ea4b1e9d | train | human | |
\frac{dy}{y}=-f(t)dt | e83f93d62cbdb492 | train | human | |
R,U | 2335dd711fc535c8 | train | human | |
\epsilon_{H}=-I | 0cea7b5a883b0ff6 | train | human | |
[\begin{matrix}1&-sL\\ 0&1\end{matrix}] | 6210edc6c760bc0c | train | human | |
{S^{\prime}}^{0}=\frac{1}{c}U_{\alpha}S^{\alpha}=0 | 9818505efc0b57d5 | train | human | |
s_{\dot{\alpha}} | 3768685b1feb244a | train | human | |
z=\frac{h}{\sqrt[8]{\cdot\frac{u_{1}}{5}}} | 7d031b3568d46652 | train | human | |
\psi_{n_{i},l_{i},m_{i}}(\vec{r}_{i}) | 3c9956a9aaa0a1fe | train | human | |
50*(\begin{matrix}66\\ 7\end{matrix}) | d65e16b29a47883f | train | human | |
(|0\rangle-|1\rangle)/\sqrt{2} | 913c3376d2fbdba3 | train | human | |
[HG]_{eq}=\frac{K_{a}[H]_{o}}{1+K_{a}} | ffc024e74f820e9b | train | human | |
x=\frac{a}{b+l} | 5cd5e1b35c29be96 | train | human | |
(\frac{\partial f}{\partial x})_{y,z} | 9b329aed0d26a876 | train | human | |
(\begin{matrix}7\\ 2\end{matrix})=6\times\frac{7}{2}=21 | 31b954b23d4adc51 | train | human | |
\{\begin{matrix}q\\ r\end{matrix}\} | 4c285082cb08cc3a | train | human | |
\sum_{n=0}^{\infty}H_{n}(x)\frac{t^{n}}{n!} | 522bb45787f3aabf | train | human | |
B=\{\underline{b}_{1},...,\underline{b}_{r}\} | 764c709d8baec83b | train | human | |
\frac{1/288}{(\sqrt{157}-10)} | 0149a8a4753f82b1 | train | human | |
f(L)=\bigcup_{s\in L}f(s) | c8826332ce1015b9 | train | human | |
C^{\prime\prime}(s)=\Gamma | df998aebfe18242f | train | human | |
\hat{y}_{t} | 9b15d7df50fd48ad | train | human | |
v\notin C | 735debbe10445d07 | train | human | |
((\frac{6}{25}-6))^{{17^{392}}^{4}} | 46b6043e0f95ac4b | train | human | |
\frac{d}{dx}x | 3aa769030f6d1e3d | train | human | |
z=x/(\sqrt{2}\sigma) | 781ec20d6f4a0c5c | train | human | |
\Gamma(\frac{1}{2}) | 08feeadb93e3801c | train | human | |
\frac{(380^{9}+\sqrt{10})}{\frac{9}{7}} | 1e5c95b09389c167 | train | human | |
|F(hkl)|^{2} | beb62fbd742abaf8 | train | human | |
\{L,R\} | ffd955e8c3f4f525 | train | human | |
P=\frac{1}{16}\rho gH_{m0}^{2}c_{g} | a24c971bccadf271 | train | human | |
\delta\int ds=0 | 494021f3395021a4 | train | human | |
(\begin{matrix}0&b\\ -b&0\end{matrix}) | 788f3e43e524946a | train | human | |
E_{4}(\tau)=\frac{1}{2}(a^{8}+b^{8}+c^{8}) | af1ecb30415fb593 | train | human | |
[\begin{matrix}4&4&7\\ 6\end{matrix}] | bd29fcf82c171d5d | train | human | |
0^{-} | 3863193f000b0060 | train | human | |
\tilde{O}(log(n)^{7.5}) | 911e1f684964f55f | train | human | |
\frac{\partial u}{\partial t}=0 | f73d2fcacb15ed47 | train | human | |
\hat{t}<0 | ca9b068b2cbba9e2 | train | human | |
\gamma=\frac{\alpha+1}{\alpha} | 650111ad4297b8e0 | train | human | |
(2^{\alpha}) | 590424f3c96c22f5 | train | human | |
\frac{dx}{dt}=rx(1-x)-px | 1404e6b76105d8d3 | train | human | |
\frac{(\frac{10}{93}\cdot469)}{\frac{\frac{7}{194}}{375}} | 1757c2002b8061e7 | train | human | |
E_{n}=-\frac{mc^{2}\alpha_{g}^{2}}{4n^{2}} | af2864731f55fa36 | train | human | |
I(\theta)=\frac{n}{\theta(1-\theta)} | 6388876bc8cd9f62 | train | human | |
\overline{S}_{l}^{k} | 2303221efe4054eb | train | human | |
\dot{y}=\frac{dy}{dt} | ba3cc8af1948b925 | train | human | |
\overline{t}_{i}=C^{T}\overline{c}_{i} | 7948d63ea58e8751 | train | human | |
(\begin{matrix}n-1\\ r-1\end{matrix}) | 2853fff255ad56c5 | train | human | |
p(\tilde{x}|m) | 14e443f40823c43b | train | human | |
\sum_{k=0}^{\infty}\frac{1}{k!} | 928f0dd5b4cca1f6 | train | human | |
d=\frac{2\sqrt{bcs(s-a)}}{b+c} | b3c5178cb1a3ec22 | train | human | |
\prod_{i=n-r+1}^{n}i | d8b662a483272045 | train | human |
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