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=\int_{0}^{T}S(t)x(t)dt | 6b67bb796fa165d8 | train | human | |
\overline{y}_{x} | f49ed0c44a55df30 | train | human | |
463\cdot9^{\frac{324}{\sqrt{8}}} | 2de4df605fd7eb2d | train | human | |
100\frac{\overline{X}_{m}-\overline{X}_{f}}{\overline{X}_{f}} | 73c075e89eb71f78 | train | human | |
\hat{z} | d30d90ea5128911e | train | human | |
\hat{f}(5) | 5c7c108b36cc2faa | train | human | |
\sqrt[3]{z} | c36d5f06ac71b5c9 | train | human | |
\frac{(50\cdot48)}{370^{311}} | 7e0a6e8d9e7ed318 | train | human | |
{1^{10}}^{\frac{500}{8}-234} | 956e045269f6fa89 | train | human | |
\hat{H}=\hat{H}(\hat{P}) | fcf0afb6b28526cb | train | human | |
(\begin{matrix}d-1\\ n\end{matrix}) | f1d4022ea9bee393 | train | human | |
(3-364)^{\frac{\sqrt{14}^{9}}{325}} | daea4dbdbfe9ef46 | train | human | |
9^{9^{9^{9^{9}}}}-4 | 35bca22a318ad947 | train | human | |
\overline{W}_{t} | df713133237dbe64 | train | human | |
(\begin{matrix}n\\ k\end{matrix})=0 | 150745a419d2bdcf | train | human | |
U=\alpha_{0}I+\sum_{i=1}^{3}\alpha_{i}J_{i} | 8d0c073ac0cae725 | train | human | |
j^{k}=\sum_{m=0}^{k}j^{\underline{m}}S(k,m) | a974f2b674db05ec | train | human | |
\int_{0}^{t}e^{B_{s}}dB_{s} | e2083f20a24b3dd8 | train | human | |
\frac{dx}{dt}\Delta u=\Delta F | 2e82f0405e7906ab | train | human | |
m+nlogn | 4bd2dfe635b073cd | train | human | |
\frac{ad}{bd}=\frac{cb}{db} | 5fc1d5066f2a211b | train | human | |
\tilde{D}_{5} | 244a683b261a7a84 | train | human | |
\langle A\rangle_{\sigma}=\sigma(A) | 07847b4d8f1127be | train | human | |
I_{c}=\frac{\Sigma x^{2}}{(\Sigma x)^{2}} | 47fdfec943b14d14 | train | human | |
|\begin{matrix}a&c\\ b&d\end{matrix}| | c3cfb163e80e899f | train | human | |
\sqrt{\pi} | b18deb353f24b746 | train | human | |
(-1,-1) | e5270639bc77e52c | train | human | |
=\frac{n}{k} | 713775b3bd3ede14 | train | human | |
G\underline{A} | b8e8e9f5d5dff013 | train | human | |
\omega_{(j)}^{2}=\frac{j^{2}\pi^{2}}{l^{2}}\frac{N}{\rho A} | dd089e30dc42e447 | train | human | |
1/\lambda=\sqrt{\tau/i} | da0070b7a7196a30 | train | human | |
\frac{96^{\sqrt{10}}}{309^{446}} | 3d4fb407c8539da5 | train | human | |
\int\sqrt{x^{2}+a^{2}}dx | 804d7066c17c79d1 | train | human | |
\tilde{d}=\frac{top}{\sqrt{\frac{t_{0}t_{2}}{t_{0}\cdot t_{2}}}} | 35c7625276d700be | train | human | |
F= | 3da1ec957e847d27 | train | human | |
F[x,y]=\int_{E}xydt | dcc9fdf06bf7e57d | train | human | |
\frac{1/288}{(\sqrt{157}-10)} | 3e45f2c88f67b9cc | train | human | |
n^{-\frac{1}{8}(\frac{log\frac{d}{d_{0}}}{log\Pi})^{8}} | 591704655325ff2d | train | human | |
S=\int Ldt | a360fa4710169959 | train | human | |
cos^{2}A=\frac{cosa}{1+cosa} | 2dc6d0d093860d59 | train | human | |
A={X_{1}}^{2}=0 | bd4982e237f98674 | train | human | |
\hat{U}\approx I-i\hat{H}\tau | e599ea99fd5cf54b | train | human | |
b=\frac{1}{4\pi\epsilon_{0}}\cdot2q_{1}q | becb28ae98620053 | train | human | |
\frac{1}{\sqrt{1\cdot\frac{m^{2}}{s^{2}}}} | 39c7b6258aebf820 | train | human | |
x | 843fddb61eaf5c71 | train | human | |
x=\sqrt{n}tant | d3ec3001df3ca593 | train | human | |
A^{3}=\frac{GM_{\odot}D^{2}}{k^{2}} | 3ec4ab87db72184a | train | human | |
63^{63^{63^{63^{63^{4.827}}}}} | e4e29ffe6ce333e8 | train | human | |
\Omega^{2}=\frac{g}{l},K=\frac{k}{m} | 843670720bec6e4b | train | human | |
\sqrt{50} | df24655ef6dbba7f | train | human | |
\lambda Y(\underline{k},\omega)u(n) | 9c2f8cc679a99fe6 | train | human | |
j^{(\frac{\kappa}{\varpi})[1-\sqrt{1-\frac{0\varpi^{0}t}{\kappa}}]} | b28f5bfe7e608ee1 | train | human | |
\int_{0}^{t}\sqrt{r^{2}-x^{2}}dx | bf19f1f771a88802 | train | human | |
\overline{v_{i}} | ab305f5fbd488c94 | train | human | |
M=m/\sqrt{1-v^{2}/c^{2}} | 29391e3093d57854 | train | human | |
\lambda=0.3164Re^{-0.25} | 96d38244f209f5b5 | train | human | |
C_{0}^{\infty}(R^{n}) | c3430502db17250e | train | human | |
(\overline{x}) | f4d54f1be41cfb3e | train | human | |
a(f*g)=(af)*g | 74dbc1875f158ec2 | train | human | |
\frac{\partial C_{v}}{\partial\sigma} | 22fde260f7275bd2 | train | human | |
F(\underline{x}_{0},\underline{u}) | 9cc07986d6a1fd7b | train | human | |
\tilde{B}_{3} | 7896c9e6431252f1 | train | human | |
ar^{2}+br+c | ba1dc976284d25e3 | train | human | |
(\frac{1}{425})^{\frac{5}{2}} | cdea41507bf954ad | train | human | |
[n_{ij}] | 3b5cf2b9c8cf948f | train | human | |
\tilde{F}_{4} | 57a292f5d5b0d6f3 | train | human | |
\frac{I_{r}}{I_{u}} | 46eed8e1e032b28d | train | human | |
\lambda=\sqrt{10}\eta^{2/3}l^{1/3} | 0d6904a3fb8607ee | train | human | |
e^{-i\hat{H}t} | a0740b04c21a1d93 | train | human | |
\int_{0}^{t} | 2b733bfac989cf6d | train | human | |
Z_{0}=\sqrt{\frac{L_{\frac{6}{5}}}{D_{\frac{6}{5}}}} | cb51a1b488d8355a | train | human | |
N=8E+600 | ec4d0c71e2787a31 | train | human | |
(\hat{b}) | 5cb6cedeb94490f6 | train | human | |
P=\frac{m_{8}v}{\sqrt{7-\frac{v^{5}}{u^{5}}}} | 4994ff33f9f4ea9d | train | human | |
\prod_{n}(z-c_{n}) | 0260d6eb260f1cc4 | train | human | |
2=1/2=-1 | 2c7ac5e58bd76ff9 | train | human | |
(\frac{378}{4}+(\frac{143}{10})^{196}) | 3b1ea5083d7c4302 | train | human | |
P_{r}=S\frac{\lambda^{2}}{4\pi} | 78acbf4184b99318 | train | human | |
f(q)=\prod(q-c_{i})^{m_{i}} | 5088fe1421a448dd | train | human | |
a^{2}-b^{2} | 0af45594ff6fc816 | train | human | |
a=\sqrt[3]{\mu(\frac{P}{2\pi})^{2}} | d76d815c417e6aa9 | train | human | |
X_{k}=\sum_{n=0}^{N-1}U_{kn}x_{n} | 7b0967763236e9f2 | train | human | |
\sum_{n}\frac{1}{10^{n!}} | 1da9b257ee5187fd | train | human | |
F(\underline{x},-) | bc66b96b26b753f4 | train | human | |
\forall x\in V,(x,x)\notin E | d5dae1656e855bdb | train | human | |
a^{2}+d^{2}=b^{2} | d0d34591598d28b5 | train | human | |
B_{\tilde{\nu}} | b5127773e81c2c45 | train | human | |
(\begin{matrix}n\\ 0.51n\end{matrix}) | 16cf6204873d6829 | train | human | |
n>\frac{3^{2}(1-\overline{p})}{\overline{p}} | 38b5999f6cabfd17 | train | human | |
\tilde{p}(x) | 4ff46370da89bf29 | train | human | |
x=\sqrt[4]{5}=5^{1/4} | 9a6d52285d954ea9 | train | human | |
f\in\Omega(log(n)) | 8f211315400cb4f4 | train | human | |
\hat{x}_{i} | 10f6fb78a77cd5ee | train | human | |
\frac{d\rho}{dt}+\rho\nabla\cdot u=0 | 6955baadd5f8dc62 | train | human | |
\frac{2}{0}\ne\frac{1}{0} | 9bf841228f868f48 | train | human | |
(\begin{matrix}10\\ 2\end{matrix})=45 | b03e1e345fd20c69 | train | human | |
r\{\begin{matrix}p\\ q\end{matrix}\} | 422a8c7999c88f7a | train | human | |
exp_{w}^{n}(x)=w^{w^{-^{-^{w^{x}}}}} | 93d69bc2a69ff8c7 | train | human | |
y\notin H_{2} | 624be1ecd02589e8 | train | human | |
d=\sqrt{h(2R+h)} | 0ad4de1da1dfab9b | train | human |
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