image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\hat{d} | 97092ecfdd0a2a89 | train | human | |
\frac{d}{dx}y | c1d3a33d3359b608 | train | human | |
s\notin T | 988f5e07287814f8 | train | human | |
d_{1}=[\begin{matrix}x&y\\ \end{matrix}] | cc1188e213b12202 | train | human | |
1\le\mu_{A}(\lambda_{i})\le n | 04e8f3909fc3751f | train | human | |
\hat{T}=\frac{\hat{p}^{2}}{2m} | 1ada05414b7e41c9 | train | human | |
D\underline{u}x | ff1085983f7b5f92 | train | human | |
Q=1/\sqrt{3} | 9e006d73f69bc249 | train | human | |
\frac{dy_{1}}{dt}=-Ay_{1} | 3e0ae35bf9842b09 | train | human | |
\frac{\sqrt{7\cdot\frac{a^{2}}{c^{2}}}}{7+\frac{a}{c}cos\theta_{s}} | e36f25f5246c00d1 | train | human | |
\hat{e}=y-X\hat{\beta} | a9e25381828301b5 | train | human | |
Example.ogg | 981426a212b7f784 | train | human | |
P=\frac{e^{2}a^{2}}{6\pi\epsilon_{0}c^{3}} | 84a10cfc3dc4d43e | train | human | |
\sqrt{\tau} | 28ddba2925be54dd | train | human | |
Q(\prod_{x}f(x))=f(x) | a3e04365d72d69db | train | human | |
\frac{(-i)^{n}}{a} | 1a870f6949b14ada | train | human | |
(\frac{p}{5}) | 99c3fa344449e687 | train | human | |
\frac{1/468}{156/10-9} | 1be8e6f52c7609bf | train | human | |
P_{8}/p_{0}>P_{8}/p_{8s} | d8dee55cf62988a7 | train | human | |
\rho_{A_{5}...A_{s}}^{T_{A_{t_{5}}...A_{t_{l}}}} | a79c5b9379f8a140 | train | human | |
\frac{f_{1}}{f_{2}}\circ g=\frac{f_{1}\circ g}{f_{2}\circ g} | 1bd201ef085ac6d8 | train | human | |
(\begin{matrix}n\\ k\end{matrix}) | fb0ea296ee065903 | train | human | |
N_{k}=|dom(C_{k})| | cce114eb34526b45 | train | human | |
\frac{\sqrt{5}-3-6}{\frac{210\cdot489}{112}} | ac5db52e1805017d | train | human | |
\tilde{V}_{N} | e80bb56eab50fe37 | train | human | |
(266\cdot\sqrt{292})+263-\sqrt{10}^{7} | a05e7f7f0ede7151 | train | human | |
(1-z^{-1})X(z) | 0cae7c0b561d0cb3 | train | human | |
\Omega_{k}\equiv\frac{-kc^{2}}{(a_{0}H_{0})^{2}} | e0282892e6c7976c | train | human | |
\frac{dy}{dx} | 01a9129e8a4a8cfd | train | human | |
a=\frac{(a_{1}+a_{2})}{2} | 97be4a7c0f52e19f | train | human | |
v\sim N(0,\sigma^{2}I) | d559c47edb747488 | train | human | |
\frac{4}{9\pi}\frac{(logg)^{2}}{g} | 959b5623b6db1700 | train | human | |
\hat{s}=S(S+N)^{-1}d | c8b07cef0854ea12 | train | human | |
[\begin{matrix}-2&-1\\ -1&2\end{matrix}] | 94be03f3905b854f | train | human | |
\frac{1\cdot\frac{j}{c}cos\epsilon_{s}}{\sqrt{1-\frac{j^{2}}{c^{2}}}} | 510c2289f1d559b0 | train | human | |
\int_{0}^{T}\lambda(t)dt=1 | 9c0f199834d07232 | train | human | |
\overline{K_{0}} | 808b645ebb24b887 | train | human | |
(\begin{matrix}n\\ i\end{matrix}) | 5e899ea360d5232f | train | human | |
\hat{z}\in C^{0}([0,\hat{T}];X) | 67680b05a2a18cb1 | train | human | |
A\rightarrow B/C\_D | 3d85e5fda9c345e9 | train | human | |
\zeta_{O}(s)=\sum_{\lambda_{i}}\lambda_{i}^{-s} | 2e4a27680cb0eb11 | train | human | |
\sqrt{-}4(3-\sqrt{-}9) | 61c6444583289da4 | train | human | |
\frac{\frac{7}{1}}{(2/352)} | d1f49f3b5cbef7eb | train | human | |
\frac{\partial L}{\partial x}=0 | 6eadae5da42a08b0 | train | human | |
h(x)=\frac{g(x)}{|g(x)|} | b1d8b90a1eb9b0f6 | train | human | |
{{\sqrt{186}^{188}}^{10}}^{287-7} | 494edcba7b0945bd | train | human | |
(\frac{1}{\sigma_{0}^{2}}+\frac{n}{\sigma^{2}})^{-1} | f709018978fcb973 | train | human | |
\zeta(z)=\prod_{n=1}^{\infty}\frac{1}{1-p_{n}^{-z}} | 37c9d2b580a484f3 | train | human | |
W=\int Fdr | 6d604a0e49c16698 | train | human | |
C=\frac{P_{t}G^{2}\lambda^{2}}{4^{4}\pi^{2}R^{2}}\theta^{2}\sigma^{o} | 233efeab484cbc41 | train | human | |
\hat{c}_{V} | a56ffbff33687772 | train | human | |
\theta=arcsin\frac{x}{3} | 5776f15efca4d036 | train | human | |
\tilde{X} | ff9495b796ad52b5 | train | human | |
-\int\frac{du}{u} | 40f21805ce0615ec | train | human | |
k^{k^{\cdot^{\cdot^{k^{k}}}}} | 35dd58a4d822af4d | train | human | |
f_{n+1}\rightarrow(1/2)f_{n} | 26d92c753ede3378 | train | human | |
K_{d}=\frac{[HR]}{[H][R]} | 2efe1ef2a9915d64 | train | human | |
\frac{\frac{4}{94}}{88^{3}} | 0ae9c13cc65c7a7e | train | human | |
=20\frac{log_{10}(A_{v})}{log_{10}(f_{2}/f_{1})} | 959bf7ff999b61d8 | train | human | |
|P_{r}|=P_{t}\frac{Gh_{t}^{2}h_{r}^{2}}{d^{4}} | 58456c3f8e9822a1 | train | human | |
\sqrt{\rho} | 1c4acd2c2b585b74 | train | human | |
f(\underline{x},t) | 93628bc45048f011 | train | human | |
\frac{5}{289}\cdot\sqrt{8}-{\sqrt{3}^{\sqrt{3}}}^{3} | 5f753f97df56765e | train | human | |
[\begin{matrix}lnx\\ (lnx)^{2}\end{matrix}] | a227fb72644481b5 | train | human | |
1+\frac{(2(x-1))^{2}}{(1-2(x-1))^{2}} | fb3539811ab18e00 | train | human | |
\frac{\partial H}{\partial u}=0 | 3fdaf2c36c0ddea9 | train | human | |
m=\frac{m_{8}}{({1-\frac{v^{9}}{k^{9}})}^{7/9}} | e72e8e93c764c5f8 | train | human | |
w=\sqrt{1-\frac{U}{E}} | f91f93996e6964da | train | human | |
y^{2}=\frac{1}{Be^{2x}-2xe^{2x}} | eddb82ec7c68ae28 | train | human | |
\sum_{k=1}^{\infty}\frac{1}{k^{2}}=\frac{\pi^{2}}{6} | ce3f4471df77a6d0 | train | human | |
\sqrt{17} | 40922c0839463b6e | train | human | |
pq\approx\frac{n^{2}}{4} | 5703c0eb098ceab1 | train | human | |
\frac{5^{1}}{(\frac{108}{367})^{468}} | 36e37408806070e1 | train | human | |
5/5\cdot9^{(365-1)+299} | 81fc7c3021485a13 | train | human | |
|\mu_{3,1}|>\frac{1}{2} | 641975338d32ba35 | train | human | |
z_{ai}=\frac{x_{ai}-\mu_{a}}{\sigma_{a}} | 8a75d92f24608dd5 | train | human | |
\frac{\sqrt{a^{2}-b^{2}}}{\sqrt{a^{2}+b^{2}}} | 01626ae7118ec6c5 | train | human | |
a^{2^{r}d}\not\equiv-1(modn) | da96e870be064853 | train | human | |
V(k)=\frac{4\pi Ze}{q^{2}+k^{2}} | a6cf6b0c49bc4f95 | train | human | |
\hat{x}_{2} | 531fb7acab5a88e5 | train | human | |
[\begin{matrix}A&0\\ 0&B\end{matrix}] | e9dcde935153dcaf | train | human | |
m\frac{dU}{dt} | 931417376e0b21aa | train | human | |
\frac{dx}{x} | 39a4991d42de3fe4 | train | human | |
I_{n}=\int sin^{n}x | 0a6a9ce5eb9de964 | train | human | |
Z=\frac{y\cdot c^{6}}{\sqrt{3-\frac{|v|^{6}}{c^{6}}}} | 0639b11855b4db24 | train | human | |
\prod_{i=0}^{k-1}(x-z_{i}) | 4dc16d0e4171d3b6 | train | human | |
\tau^{ab}=\lambda^{a}\mu^{b} | 45fcd5b5a04df953 | train | human | |
X=\frac{y^{\prime}}{yx^{\prime}-xy^{\prime}} | 13436ecbb4f07c92 | train | human | |
A\oplus...\oplus A | 24641537ca8bfc3f | train | human | |
u=-2i\frac{\partial\psi}{\partial\overline{z}} | 520891b11e800716 | train | human | |
(\frac{248}{10}/372-43) | e9594903d1f187a2 | train | human | |
\prod_{i=1}^{n} | 5f107ca7c2487665 | train | human | |
\omega=\frac{\Delta\theta}{\Delta t}=\frac{2\pi}{T} | 330e7c105c87a8e6 | train | human | |
\hat{y}_{i} | bc871e7a883d61e9 | train | human | |
C(q,\dot{q},t)=0 | 88064964f22518d3 | train | human | |
\theta=tan^{-1}(\frac{1}{\mu}) | 855743b8ed3e6e96 | train | human | |
x_{s}=1 | 88c48435833f2e85 | train | human | |
\Sigma^{\mu\nu}=\frac{i}{4}[\gamma^{\mu},\gamma^{\nu}] | 2cd287b7b1bbab34 | train | human | |
\bigcup_{n>0}U^{n} | f8a84d20a336e67c | train | human | |
\phi=tan(2\pi f\tau) | ddd0d833e725ecaf | train | human |
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