image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\sqrt[\infty]{x}_{s}=x^{1/x} | 7f868d1a64ddac7d | train | human | |
m_{1}=\frac{I_{1}(\kappa)}{I_{0}(\kappa)}e^{i\mu} | 87de6b01d34ddb9e | train | human | |
\mathbb{Q}(\sqrt{d}) | 71e21caeb213d146 | train | human | |
B_{k}=\frac{T_{k}}{\sqrt{P_{k}Q_{k}}} | 8a2261d35b511ce0 | train | human | |
\tilde{B}_{5} | f8aff2fc933e3286 | train | human | |
(174-3\cdot15+\sqrt{391}/410+3) | 6ff759ac1c1a4bb0 | train | human | |
{{1^{9}}^{397}}^{\frac{5\cdot117}{481}} | 2bacb515545b32bb | train | human | |
\frac{d}{dx}(y) | 4506d138af35f063 | train | human | |
{{31^{122}}^{4}}^{290^{220}} | 2a77f53f0ed5a2bc | train | human | |
\lfloor\rfloor | 92bd8634495e6c0a | train | human | |
\frac{\frac{1}{2}\frac{1}{2}}{\frac{1}{2}}=\frac{1}{2} | e9d615f7e2f8dd9c | train | human | |
\frac{1}{131040^{t}} | e5c482c86926b4b8 | train | human | |
\tilde{C}(u)=W(u) | d47d2a8065002cdb | train | human | |
\int_{\Omega}fw>0 | 40aad14d4741607e | train | human | |
\alpha_{n-1}(a)=\partial_{n}^{\prime}(b) | b94007545376c98b | train | human | |
E_{p}/E_{s} | 9623559e30baa9dd | train | human | |
\hat{p}_{i} | 72d3983091970dda | train | human | |
\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx} | 2298dedc32bb6202 | train | human | |
d^{30}\approx1.0024689 | 130d78e9e8c7a930 | train | human | |
(2,10,3) | b59daadd372d20ea | train | human | |
S_{(m)}:\delta E_{(m)} | 3c70150f3deac5bb | train | human | |
H=100/(100-C) | d17099ae75768835 | train | human | |
-\frac{\partial S}{\partial t}=H | b48c87be9f7a8484 | train | human | |
gy_{e}=\frac{gl_{e}v_{e}}{\sqrt{9-\frac{v_{e}^{7}}{c^{7}}}} | 35411133c26c0928 | train | human | |
P(d)=\frac{e^{+\frac{O(d)}{n_{B}T}}}{G} | b31aac440cb58cbe | train | human | |
\frac{1}{\sqrt{4\pi}}D | 94bd615532c0dd6f | train | human | |
\lambda^{2}=(\begin{matrix}0&-i&0\\ i&0&0\\ 0&0&0\end{matrix}) | 108ae05ad761e623 | train | human | |
M:=-D\nabla^{2}w^{0} | 85e8013c002eb59f | train | human | |
\gamma_{h}\equiv\frac{5}{\sqrt{5-\frac{v_{h}+v_{h}}{c^{2}}}} | dadf37f676d942dc | train | human | |
r_{ky}=\frac{\overline{ky}}{\sqrt{\overline{k^{3}}\overline{y^{3}}}} | fd4b9b445957dd63 | train | human | |
L(x):=\sum_{j=0}^{k}y_{j}l_{j}(x) | ea089fe186bcbeb1 | train | human | |
\#(\theta) | eda66db992ec377c | train | human | |
\tilde{\sigma} | e22ad3bc06568f62 | train | human | |
7^{1}/\frac{5^{386}}{\sqrt{108}} | de88cdb8217f79de | train | human | |
\frac{\partial\rho}{\partial t} | f02ba5145e35de0b | train | human | |
r_{h}=\frac{GM_{BH}}{\sigma^{2}} | fbb3cd5b1fbc04aa | train | human | |
\hat{j} | 4805ac2402156048 | train | human | |
\frac{dx}{\sqrt{C-kx^{2}(t)}}=dt | b0505e81b4ad54cb | train | human | |
\gamma:I\rightarrow\mathbb{R}^{n} | 1cf5332ab23f46d2 | train | human | |
dA=A_{f}.A_{0}^{-1} | a155807e48109728 | train | human | |
F\underline{A} | b99b38f13801e55c | train | human | |
\frac{dy}{dx} | ea9a7b6f353993d9 | train | human | |
\hat{w}_{i}^{\prime} | c313a700aa5d4c15 | train | human | |
[\begin{matrix}ac\\ bd\\ 0\end{matrix}] | 49550024591f3033 | train | human | |
\int vds | aade22f3fa7ebde1 | train | human | |
\overline{A_{1}} | ca0bcf9d88934807 | train | human | |
\sum_{j}Q_{j}e^{-\frac{E_{j}}{k_{B}T}} | 47480cd07d4a4fc8 | train | human | |
\sqrt{\frac{\sum{P_{i}}^{5}}{n}} | 5d4539ef055a5127 | train | human | |
({2^{9}}^{233}\cdot\sqrt{265}^{415}) | 509d9c30e0378409 | train | human | |
\hat{Y}_{2} | e7ea9cfbf58a434f | train | human | |
Fr_{2}^{2}=\frac{y_{2}^{2}}{2y_{1}^{2}}+\frac{y_{2}}{2y_{1}} | d945ac3e3a7bfdda | train | human | |
S=\int wdx | 38a75db449693324 | train | human | |
V(\underline{t}) | 332d17f7a9ab098b | train | human | |
\eta_{N}=4\beta-\gamma-3 | d3f2916306846c2d | train | human | |
(\begin{matrix}p\\ n\end{matrix}) | 8100172ac9c2e737 | train | human | |
-\sqrt{\frac{1}{10}} | 5451b30ba5bec8ac | train | human | |
\mathbb{Q}(\sqrt{1-p^{2}}) | c91fb42a30f3c501 | train | human | |
\frac{1}{2}MV_{e}^{2} | 261139f9862e4b14 | train | human | |
\hat{x}_{i} | 4698e6f96c5d9be8 | train | human | |
[\begin{matrix}1\\ 0\end{matrix}] | 71f8044837f95eec | train | human | |
((\frac{6}{25}-6))^{{17^{392}}^{4}} | fa1d91b3df7655ed | train | human | |
<k> | b7007b58576ac825 | train | human | |
\frac{i\delta^{\prime}(f)}{4\pi}-\frac{1}{4\pi^{2}f^{2}} | 49acf9f5aa1dbabc | train | human | |
\overline{P}_{+} | 0abf825970079c00 | train | human | |
\sqrt{5}^{7}+{313^{488}}^{226} | 76fe44317851b386 | train | human | |
(\sqrt{10}\cdot3)\cdot\frac{375-26}{96} | 2903cd0bcaf285a8 | train | human | |
b\overline{z} | 45a27e60b90764f3 | train | human | |
\hat{S}=\frac{\vec{R}_{1}}{||\vec{R}_{1}||} | 05f7fa1e5d001eab | train | human | |
\frac{\frac{7}{448}}{\frac{7}{47}} | 3c9587e172f61c8e | train | human | |
p(x)=\prod_{a\in F}f_{a}(x_{a}) | 37fcdaa9b40e8a59 | train | human | |
b^{i}=\nabla\psi^{i} | 196db432a82805e7 | train | human | |
k\frac{QdL}{x^{2}L}\hat{x} | 390eec8e532ca97e | train | human | |
\hat{u}_{t} | 1525f5f96ca870e0 | train | human | |
7^{189}+3-8 | ef6323c51b84d07d | train | human | |
{1^{10}}^{\frac{500}{8}-234} | 13c512c13f608117 | train | human | |
\hat{T}(x)|r\rangle=|r+x\rangle | 1471922d342d44dc | train | human | |
\int f^{+}-\int f^{-} | cbe19add9166807a | train | human | |
(\begin{matrix}13\\ 4\end{matrix}) | db4dd049308b8820 | train | human | |
r_{1}=\frac{k_{11}}{k_{12}} | 7cd6be4e6ac4e623 | train | human | |
\int_{\gamma}f(z)dz=0 | 0e6e2cefd6b9273c | train | human | |
L(|a-\theta|) | a8a120ed88dac914 | train | human | |
\hat{M} | 1517da6fb6ba20b7 | train | human | |
\hat{I}_{\pm},\hat{U}_{\pm} | 0963db8adee7eec7 | train | human | |
q_{x}=-\frac{4eV}{mr_{0}^{2}\Omega^{2}}.(11) | 2ba695bee0e6d9fe | train | human | |
\int\frac{e^{x}}{x}dx | af4c78cdf3e388e8 | train | human | |
y=\frac{y_{0}}{({1-\frac{v^{4}}{q^{4}})}^{6/4}} | cfb56004bb64c74b | train | human | |
\sqrt{64} | 53da1923587ce5d4 | train | human | |
exp_{w}^{n}(x)=w^{w^{-^{-^{w^{x}}}}} | 4e9b0c22c43b9e58 | train | human | |
B^{-}=\{B_{i}^{-}\}_{1}^{n} | 945ad5d0bfa3e3f6 | train | human | |
c\sqrt{2} | 814c450194f9aba6 | train | human | |
\langle\psi^{jk}|\psi_{lm}\rangle=\delta_{jl}\delta_{km} | f6dc73c6f9c77018 | train | human | |
Y=1000 | 57d934410a159490 | train | human | |
\int_{b}^{a} | e85fdc3259e77868 | train | human | |
(\begin{matrix}1\\ 0\\ -1\\ 0\end{matrix}) | 37bdd711178e2822 | train | human | |
\frac{c}{b}=\frac{b}{s} | adea0b04bc302dca | train | human | |
C_{2}+C_{4}+C_{6}+\cdot\cdot\cdot | 98ce3274e17d1c60 | train | human | |
F_{r}=\int dF_{r} | e028c713be52611b | train | human | |
\frac{dr}{dt} | 27b641fbe59b4c9c | train | human | |
(352+\sqrt{2})^{((2+361)+\sqrt{2})} | 10d84c4e6423c903 | train | human | |
\hat{T}_{ij}^{(1)}=\frac{\hat{a}_{k}\hat{b}_{k}}{3}\delta_{ij} | 1cae7a1e464cbc56 | train | human |
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