image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\overline{E} | 14b681e9678136cd | train | human | |
\langle+,0,-,\cdot\rangle | ebaeba896d934b3c | train | human | |
\frac{1/5\cdot2}{\frac{\frac{36}{5}}{254}} | cc8e68d923f7df1f | train | human | |
-\overline{u^{\prime}v^{\prime}} | 5f8e3125ed663038 | train | human | |
\tilde{Q}_{4} | 4a10794b6877d6e9 | train | human | |
O(n) | cf5481f74109ab14 | train | human | |
det(AA^{T})=det(I) | 255deb9eb2264d31 | train | human | |
T\underline{A} | 923a9560e89f2d22 | train | human | |
[\begin{matrix}1&0\\ -sC&1\end{matrix}] | ac41cf9f6a9451de | train | human | |
\frac{\partial W}{\partial I_{1}}=C_{1} | 22b1543a2cb4a755 | train | human | |
p=1-\prod_{m}(1-p_{m}) | abd2ba836e1a0682 | train | human | |
\frac{i^{4}}{4} | 8ea012d1e1249f1c | train | human | |
\neg\psi | 304f013fd43a9153 | train | human | |
E=\int Fudt | 90a587f3d21d02cd | train | human | |
V(x)=-\int w(x)dx | dde746efd1e3acfc | train | human | |
||v||=\sqrt{v^{\top}v} | 0c648c4982de6794 | train | human | |
\hat{K}_{q} | 32db47da13c49223 | train | human | |
\frac{\partial^{2}u^{2}}{\partial x^{2}} | 31aa1bcfe3a5f73b | train | human | |
\Psi_{g}(h)=ghg^{-1} | 413cf3fe28f46e97 | train | human | |
(\mathbb{R}^{2}\backslash\Lambda,\hat{g}) | 31293ce7f69c1b22 | train | human | |
\zeta(\frac{1}{2}+it)=o(t^{\epsilon}) | cb45ac018cff4959 | train | human | |
\int_{0}^{1}\sqrt{1-x^{2}}dx | baa7e6fc98ef75eb | train | human | |
\int e^{x}sin(x)dx | 194f1d287d562472 | train | human | |
\frac{x+12f}{x}-1=\frac{12f}{x} | b5938905297a8e47 | train | human | |
\frac{\partial F}{\partial n_{1}}=0 | 55f162a97611a177 | train | human | |
\sqrt{7} | 997554f9cf0be0d4 | train | human | |
\frac{13\cdot203}{(92+374)} | 7d5feedd5d507bf7 | train | human | |
w=\frac{Se}{G_{s}} | 42037a49b9ce60ac | train | human | |
\chi(F) | 08814f4ed5da0141 | train | human | |
({10^{7}}^{\sqrt{353}}\cdot(362^{\sqrt{429}}+297)) | b9af7dc6d4e53ed5 | train | human | |
(\begin{matrix}k\\ t\end{matrix}) | b0aaf349fc41f20b | train | human | |
\frac{{2^{5}}^{5}}{7^{317}-372} | 4bd45e6557189878 | train | human | |
M=\frac{mc^{7}}{\sqrt{4\cdot\frac{v^{7}}{c^{7}}}} | f0deb9859ae60cdc | train | human | |
\frac{d}{dx} | 7e7e3d417ebafb35 | train | human | |
\frac{dQ_{T}}{dQ_{*}} | f11a000ad23b23b3 | train | human | |
\hat{\alpha}(q),\hat{\alpha}(q^{\prime}),... | bef396d38c9c85c6 | train | human | |
D=\frac{EH^{3}}{12(1-\nu^{2})} | aa19325491d91bbe | train | human | |
\frac{\partial z}{\partial x} | aaf4c8114ad7e3d1 | train | human | |
=\frac{1}{2}\frac{\sqrt{g}}{\nu}\epsilon\sqrt{S}\sqrt{D} | 2d7027454e94f787 | train | human | |
n^{3}\ge100n | f10e9fb27442b10d | train | human | |
\frac{E_{1}}{E_{2}}=\frac{\frac{1}{2}k_{1}x^{2}}{\frac{1}{2}k_{2}x^{2}} | 62f0c64ecb42c5d8 | train | human | |
[\begin{matrix}1&0\\ 0&3\end{matrix}] | 44d7b9b787de9693 | train | human | |
Z_{iT}=\sqrt{1-\omega^{2}} | 66e8e6ef6774da4c | train | human | |
\frac{\frac{10^{265}}{\sqrt{6}}}{1^{9}} | 2e45dae6b4c3b61c | train | human | |
\int x^{s}\phi(x)dx | b56501b9b6583a2d | train | human | |
\tau_{1}\circ_{s}\tau_{2} | 4c0ee640163549ff | train | human | |
\int xcos(y)dy | c2029bc475317d74 | train | human | |
k\frac{\partial G}{\partial n}+hG=0 | 466a29131a46122c | train | human | |
s\{\begin{matrix}8\\ 3\end{matrix}\} | 086ad8c32cd3eafd | train | human | |
\epsilon=1+k\langle M_{Tot}^{2}\rangle | 64863d5e4193cc2a | train | human | |
m=\prod_{k=1}^{j}m_{k} | f8889f8d6aca43e7 | train | human | |
\sum_{k=0}^{n}k(\begin{matrix}n\\ k\end{matrix})=n2^{n-1} | 329ea9b727205691 | train | human | |
x>\frac{3}{\sqrt[3]{4}} | 5bc0536f08d0869c | train | human | |
2^{w_{ij}} | adaed520e8774d3a | train | human | |
(174-3\cdot15+\sqrt{391}/410+3) | 83c1bc39c52100d1 | train | human | |
N=\sigma\int Ldt | 642ee74a4f7bc7b1 | train | human | |
\int_{0}^{1}\phi(p)dp=1 | a89bf4ac20236d23 | train | human | |
\tilde{H} | 3f685c86b575d076 | train | human | |
\mathbb{E} | 692e240fa22a4034 | train | human | |
Q_{j}=-\frac{\partial V}{\partial q_{j}}-\frac{\partial D}{\partial\dot{q}_{j}} | b1a96d0719e1d1cd | train | human | |
\hat{f}(3) | 1ef96b817e25fcfa | train | human | |
y(p) | 744ea79dc1192aa0 | train | human | |
\xi_{C}=\frac{T_{L}}{T_{a}-T_{L}} | 41854c9e1bfcbbb7 | train | human | |
\frac{ln(2)}{k} | 520738d5e4a25e16 | train | human | |
\vec{\zeta} | e22e400010fbdbd1 | train | human | |
\frac{dh}{dt}=0 | acd3d53c266f5d4b | train | human | |
(\begin{matrix}2&0\\ 0&-e^{y}\end{matrix}) | eddda8e704a3d868 | train | human | |
S=\frac{C_{p}}{C_{f}} | be4c0437bfe2c85a | train | human | |
deg(G)>deg(H) | 8618cab275c4c5b5 | train | human | |
\vec{F}=\frac{q_{1}q_{2}\vec{r}}{4\pi\epsilon_{0}r^{3}} | adee74b22eeb127f | train | human | |
(\begin{matrix}1&-1\\ 1&-1\end{matrix}) | a441815efbf8ef5c | train | human | |
a^{-b}=\frac{1}{a^{b}} | ae5e6308f1d7c5c5 | train | human | |
\sqrt{8} | 3c5bd67245afd9c1 | train | human | |
O_{3}^{\pm,\mp}(3)=2^{3} | da45549c996ad554 | train | human | |
((387+\sqrt{261})+\frac{\frac{8}{7}}{\sqrt{8}}) | 073d834c5fbd5461 | train | human | |
\tilde{\gamma} | 49f57639796e71e6 | train | human | |
\hat{x}=i\hbar\frac{d}{dp} | 0a3ec4955abcf464 | train | human | |
B=(\begin{matrix}1&1\\ 3&1\\ 0&2\end{matrix}) | 7dbddd06e35f2bcc | train | human | |
\{J_{k}\}\rightarrow\{\tilde{J}_{k}\} | 32975197a86138e6 | train | human | |
(\frac{(1\cdot1)}{296})^{138^{130}} | 549eae0fb66d5e7f | train | human | |
g_{i}:\mathbb{R}^{n}\rightarrow\mathbb{R} | 496425469d82dbf1 | train | human | |
\overline{n}_{\mu} | 9c8ba63e56515e80 | train | human | |
-\overline{v^{\prime}T^{\prime}} | 2dc7acd3a4d9fa9e | train | human | |
-\frac{5}{y^{2}\sqrt{5-\frac{5}{y^{2}}}} | f543cb0f937900ee | train | human | |
\frac{dN}{dt}=-kN | 72c1f4f632c36bf5 | train | human | |
\frac{dc}{dt}=1 | a4485de25b0e1ef9 | train | human | |
\tau=\frac{\sigma_{1}-\sigma_{3}}{2}\le\tau_{y} | 45c89dbff1cf1321 | train | human | |
\tilde{D} | 34294e63ba88303e | train | human | |
\frac{df}{dz}=g | 539e70a007e261e5 | train | human | |
\tilde{s}_{i} | ea6a8035913915ad | train | human | |
h.v=\epsilon(h)v | d5b926e8651a3fb5 | train | human | |
(352+\sqrt{2})^{((2+361)+\sqrt{2})} | 4134cafc6d1df7f1 | train | human | |
\frac{1}{4+1}=0.2 | da790f0980025e74 | train | human | |
P_{g}(E)\equiv e^{-\frac{E_{g}}{E}^{1/2}} | aa099230b21c1041 | train | human | |
\int_{0}^{a}sinxdx | 762c139de01532ec | train | human | |
1/\sqrt{1+\epsilon^{2}L_{n}^{2}} | 0f44cf84184adbf0 | train | human | |
\nabla_{\dot{\gamma}}\dot{\gamma}=\frac{\nabla\dot{\gamma}}{d\tau} | 2f646442ac82c41e | train | human | |
\frac{dy}{dx}+y=y^{3} | a8f5c7e04645343a | train | human | |
\sum_{k=1}^{\infty}\frac{1}{k^{p}} | bf4cf434b1b91f02 | train | human | |
\frac{\partial q^{i}}{\partial x_{j}} | b93b4ed5d77b09fa | train | human |
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