image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\frac{1}{n}logN>R-\delta | d9d51ad08ec7abd6 | train | human | |
S_{3}:C\rightarrow C | b42fe80169f0ae6b | train | human | |
\chi_{\psi^{k}(\rho)}(g)=\chi_{\rho}(g^{k}) | efcef379981d05cf | train | human | |
{64^{5}}^{449^{10}} | 36429d78ae3db7b9 | train | human | |
a^{a^{+^{+^{+^{a}}}}} | 5548c16cf71687b2 | train | human | |
I_{Q}:[0,1]\rightarrow R | 626bafcf5cb496d1 | train | human | |
\omega=\frac{\partial u}{\partial z} | adbe0f6ff93becfb | train | human | |
\hat{r} | 47a609e7dad7794a | train | human | |
f_{n}(x)=\frac{1}{x^{2}+n^{2}} | a4bd6e17e531ed32 | train | human | |
b\mapsto(\pi_{*}\alpha)_{b} | 08641aabaed9a543 | train | human | |
C_{2}^{2}(3)=\frac{17}{50} | 4b7dfd87eaa49b13 | train | human | |
\{0,1\}^{P(k)} | a78c3fdeb6314ff7 | train | human | |
\prod_{j=0}^{t}\beta[Z(j)] | 901e601f6996bea5 | train | human | |
3x^{2}-3w^{2}=0 | 7cc639f0ad14ef3f | train | human | |
(g_{1},g_{2}) | 8da741c1b4aac364 | train | human | |
C=[\begin{matrix}0&1\\ 0&0\end{matrix}] | 04efeb052ac39fc3 | train | human | |
\int_{0}^{1}f(x)dx | 7a37057df5957af2 | train | human | |
z=sqrt(y^{2}-1) | db866abf3a86742b | train | human | |
P((A\wedge B\wedge C)|D) | 84d780d83bb55ca4 | train | human | |
\tilde{\psi} | 9fe746523faae588 | train | human | |
(\begin{matrix}n+2\\ 2\end{matrix})-2n-1 | 57125242359fad0a | train | human | |
P_{A}=C_{A}RT | 59bc02719c7c6ec6 | train | human | |
\prod_{p|n}f(p) | 1c98160d1df0085c | train | human | |
\underline{x} | 4b557ae9327c9b81 | train | human | |
|\frac{W(-lnz)}{-lnz}| | 73c7307e5336074c | train | human | |
\tilde{X} | 836fd4dc84d56948 | train | human | |
\nabla_{\partial/\partial t}\frac{\partial}{\partial x}|_{x=0}=0 | eb2c5f3bdd9f9b02 | train | human | |
d=\frac{v^{2}}{2\mu g} | e8e67d83d131ed2d | train | human | |
\frac{4}{8}+\frac{6+191}{5} | 12ce46727eea7bd8 | train | human | |
\chi_{\omega}^{\phi} | fdfcdc10f680e045 | train | human | |
G(x,s)=G(x-s) | 7a7cabad3b9efe07 | train | human | |
exp(i\alpha_{x}-is\theta)|s\rangle | b9444c2b5337e7c9 | train | human | |
\sum_{n\in I}e^{2\pi if(n)}\ll\lambda^{-1} | b53b74f2adc785c6 | train | human | |
\hat{\mu}_{0}=34/3=11.33 | 45e5ecdaad2c9583 | train | human | |
\Delta_{I}=\frac{1}{|I|}\sum_{J_{i}\in S_{I}}w_{i} | b001edefdf1e3a24 | train | human | |
\sqrt{h} | fbd0cb004ee197e1 | train | human | |
T=Fxr | 9c155f5eeaa0d06e | train | human | |
|||.||| | 368f02b664908e86 | train | human | |
g^{\prime\prime}(x)=-\frac{1}{4x^{1.5}} | eb78b8476d6fb285 | train | human | |
2\int_{0}^{L}pdq=nh | 2d2ee534df24618f | train | human | |
{344^{2}}^{\frac{343^{228}}{9}} | cc694ffcf411ae74 | train | human | |
(\begin{matrix}0&1\\ 1&0\end{matrix}) | b29eca71b045aefd | train | human | |
\overline{\frac{\partial(\overline{u_{i}}\cdot u_{i}^{\prime})}{\partial q_{i}}}=3 | 0976617d2e30c291 | train | human | |
[\begin{matrix}A&B\\ C&D\end{matrix}] | 78afee502279faf6 | train | human | |
{(u^{\rho})}^{n} | e0b15df55ac865d0 | train | human | |
\int dx=x+C | b3b838dc5efde103 | train | human | |
\frac{5}{289}\cdot\sqrt{8}-{\sqrt{3}^{\sqrt{3}}}^{3} | 0dbc516354ec6fec | train | human | |
A^{\mu}=\hat{P}^{\mu}A(r) | fc84bd95314ce20c | train | human | |
T>T_{c}=1/(2\sqrt{log2}) | 40e5f2fe76531c98 | train | human | |
Q_{N}\equiv\frac{1}{N}\sum_{i=1}^{N}\frac{f(\overline{x}_{i})}{p(\overline{x}_{i})} | 3740ec217bc118e7 | train | human | |
\frac{1}{1-e^{\frac{S\times(1-S)}{3^{N\cdot1}}}} | f07bfa419e8384fe | train | human | |
\frac{\frac{162}{10}}{\frac{3}{370}} | a8f77844c989f0be | train | human | |
|\overline{VU}| | cf6ba966362a1e9a | train | human | |
\frac{d^{3}}{dx^{3}}[x^{4}]=24x | db78d289f982621f | train | human | |
0<\alpha\le2 | 56dae4abbac74194 | train | human | |
\tilde{g}_{lk}\overline{n}=g_{kl} | 005f0a6b379cc5db | train | human | |
n=\prod_{i=1}^{r}p_{i}^{k_{i}} | f56603992fa6a2ed | train | human | |
\frac{1}{1}=1 | d46d06b4453f491c | train | human | |
BC | aa35fca5e86b077b | train | human | |
\beta>\alpha | 93d42cf0e7f8c6fa | train | human | |
Perm(A)=P=6 | 96a56fec54cb8d50 | train | human | |
(\begin{matrix}m\\ n\end{matrix}) | 82e9009e4e7b795b | train | human | |
2d=\frac{p^{2}}{\delta p} | 670143d5b73a0131 | train | human | |
(\begin{matrix}a&b\\ c&-a\end{matrix}) | 9c533ce1daef48cf | train | human | |
\frac{dV}{dt}=Q_{0} | 015b7b615091fe1a | train | human | |
a_{4}^{a_{0}^{-^{-^{a_{n}}}}} | c45d904e09705f84 | train | human | |
Q(x)=\prod_{n\ge1}(1-x^{n}) | 3a172a3be80d0ad6 | train | human | |
\frac{du}{dx}=6 | 46496eb4c73ed125 | train | human | |
d | 0f4071a88a788735 | train | human | |
d=r_{1}+r_{2} | d241fb21346ab758 | train | human | |
\forall P\forall x(x\in P\vee x\notin P) | 56266ddf6bf71207 | train | human | |
log(z!)=P(z) | 76bc634d5fe6aeda | train | human | |
\sqrt{5}^{\sqrt{5}^{\sqrt{5}^{\cdot^{\cdot^{\cdot}}}}} | c2ae9824048b6610 | train | human | |
\frac{m}{\sqrt{\frac{w^{2}}{l^{2}}-1}} | 2ea60e9b6059813a | train | human | |
(\frac{10}{164}+7)^{\frac{10}{451}-\sqrt{21}} | af5ca5d6198459ad | train | human | |
H_{n}=Q_{n}^{*}AQ_{n} | 8f0d245657beacdf | train | human | |
\tilde{v}_{ij} | 54774a5684c5b0a3 | train | human | |
\int\frac{dQ}{T}\ge0 | 0f7762529274bc6c | train | human | |
\tilde{r} | d7d7df5f8f7c2fe8 | train | human | |
(\begin{matrix}n\\ 2\end{matrix})p | 5cf73656f93465fe | train | human | |
\hat{v_{i}}\equiv i[\hat{H}_{0},x_{i}]=\alpha_{i} | 7c9f943ed7509281 | train | human | |
|Ax| | 3aaac5598adef569 | train | human | |
m=3.4a.u. | 1e9eb531132a603d | train | human | |
-x^{n-1} | d4916b0ba0b15e2c | train | human | |
(C_{\beta})<\beta | 4bcd49f4c0388c4f | train | human | |
S\hat{M} | 861e7d6e570f2118 | train | human | |
\overline{\nu} | 6ad2bd65572aac3d | train | human | |
(\overline{x},\overline{y},\overline{z}) | 3bba84986808103d | train | human | |
v=\sqrt{\frac{T}{\rho}} | 0080c78ccf052739 | train | human | |
[\begin{matrix}0&1\\ 1&-n\end{matrix}] | 5c6477d66de8a601 | train | human | |
\hat{e}_{3} | 0e62a2c176d1d2b0 | train | human | |
(\frac{k}{n})(\frac{1}{\overline{x}}) | b0fb3b71a0a253a2 | train | human | |
\tilde{P}_{*} | c43c7b2d1e97b234 | train | human | |
\dot{w}=\frac{\partial w}{\partial x} | c3138a0bec935c9f | train | human | |
\overline{Y} | 8a17e3d37a5f0bfe | train | human | |
(\frac{\frac{2}{289}}{2}\cdot\frac{2^{97}}{17}) | bec5551619212c08 | train | human | |
\frac{1}{4}du=dx | 119f07c81a79bd9e | train | human | |
\overline{Y}=X | 853186d7a61dee85 | train | human | |
\hat{b} | 23345ce380d557c1 | train | human | |
\frac{1}{4g^{2}}\int Tr[*F\wedge F] | 8e73bc242c1a0eee | train | human |
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