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{9}{2})^{\sqrt{129}^{\sqrt{119}}+1} | 3cce7b8863b578bf | train | human | |
d\tilde{V} | 99adb46d898fe9f1 | train | human | |
\frac{1/k^{s}}{\zeta(s)} | f235393270f7db0d | train | human | |
\frac{dV}{dt}=Q_{0} | ac3ff0740f1bb904 | train | human | |
\frac{1}{2}+\epsilon | 29a233c47b21d5bc | train | human | |
\omega_{n}=\frac{\pi hn^{2}}{4L^{2}m} | 88b5c5c349aef102 | train | human | |
k^{2}=1-\frac{\mu}{h^{2}} | 7edf60e3fd7eebbe | train | human | |
cn^{\frac{1}{3}} | a4581f0bbb3e223a | train | human | |
Q=\sqrt{\frac{{H_{0}}^{7}J_{1}}{H_{7}H_{4}J_{7}}} | bc62819b5abda47f | train | human | |
D(E(m))=m | da587b1d399a1523 | train | human | |
\frac{\Gamma\vdash s=t\Delta\vdash t=u}{\Gamma\cup\Delta\vdash s=u} | 4b873f0aaf471f3a | train | human | |
\frac{L}{E}=\frac{K}{C} | 2cbf13048a5f957e | train | human | |
v=\frac{dC_{A}}{dt} | 85f41666dfe7fa18 | train | human | |
Q=\frac{m+c^{2}}{\sqrt{5-\frac{|b|^{2}}{c^{2}}}} | 5ca682f2736e1c27 | train | human | |
R_{i}\rightarrow R=\prod R_{i} | 885ef1ec66aa94cb | train | human | |
(\begin{matrix}n\\ m\end{matrix}) | a320973a60df6d88 | train | human | |
\hat{u} | c1b53ba880b5e5d3 | train | human | |
g(n)=\prod_{k=1}^{n}f(k) | 1529e3425613acfe | train | human | |
\hat{B} | 2f493e8885884b19 | train | human | |
\frac{232^{5}}{9^{3}} | f365427dc4a3ee54 | train | human | |
\pm\frac{csc\theta}{\sqrt{csc^{2}\theta-1}} | 52cb6a5c329ca995 | train | human | |
\Omega=\rho+i\tilde{\rho}(\rho) | 6de8eff71ab8e5cc | train | human | |
(\begin{matrix}0&b\\ -b&0\end{matrix}) | 2d2ec01e33439428 | train | human | |
\int e^{-x}cos(x)dx | a8ff981d1b9e32af | train | human | |
x^{+}=\frac{t+x}{\sqrt{2}} | 1ba24216a4c5bac8 | train | human | |
\frac{d\psi}{dt} | 54fe51c7c8358f3b | train | human | |
y=\frac{mn}{\sqrt{1-\frac{n^{6}}{r^{6}}}} | 448cfa1745d984e1 | train | human | |
P_{10}(x)=4x^{3}+1 | 8b6b4600c783f83c | train | human | |
D_{\odot}=8\cdot10^{22}Tm^{3} | 2ef1459f2ce86bc5 | train | human | |
\rho_{A_{5}...A_{s}}^{T_{A_{t_{5}}...A_{t_{l}}}} | 2076cc739511d5db | train | human | |
\int_{0}^{x}f(x)dx | 67dfe4d27216d97a | train | human | |
y=\frac{1}{2}[\varphi+\frac{sin\varphi}{sinc\alpha}] | 4cd3261c6de97cd3 | train | human | |
\frac{TWG}{2}-PB | 3846090e1510bf4f | train | human | |
lim_{n\rightarrow\infty}(1+\frac{x}{n})^{n}=e^{x} | 83145ae93da8259e | train | human | |
\sqrt[3]{2}\approx1.26 | fb812283862557c9 | train | human | |
k=k\hat{x} | c1dbcf548b50365f | train | human | |
y=\frac{Q}{w^{\int_{r_{1}}^{x}P(r)dr}} | 8e614d72b7e6086f | train | human | |
\hat{c}_{V} | 7bb4b0c7fdfd225a | train | human | |
N=\sigma\int Ldt | 406349766f9fe439 | train | human | |
q\{\begin{matrix}p\\ q\end{matrix}\} | 3976bb4993fd3f5d | train | human | |
i=\frac{i_{A}}{\sqrt{1+\frac{1}{x^{3}}i_{A}^{3}}} | e9bd09a99fea0440 | train | human | |
0!!=1 | 9e6f4cee564578d1 | train | human | |
f_{1}\propto\frac{1}{\sqrt{\mu}} | 3ad9ea8529139d8e | train | human | |
(\begin{matrix}n\\ k\end{matrix})=\frac{n^{\underline{k}}}{k!} | 6b96d2f13ae25e5d | train | human | |
(cos^{2}z-1)cos^{2}z | 77a3e916256b7987 | train | human | |
\tilde{t} | 94f99e9a94862395 | train | human | |
((\frac{7}{428})^{265}\cdot\frac{9}{\sqrt{240}}) | 72a6125fba00c181 | train | human | |
\prod_{i=n-k+2}^{n}m_{i} | f54160764b92b571 | train | human | |
2^{2^{2^{2^{2}}}}+9 | e220347e9beb7d62 | train | human | |
\frac{dA}{db}=p | 489aea3ee52f4e8c | train | human | |
(\begin{matrix}n+k\\ k\end{matrix}) | 324674fbdf884ee2 | train | human | |
[\begin{matrix}1&R\\ 0&1\end{matrix}] | 543d745d205f1e7c | train | human | |
4^{\sqrt{8}}+10-\frac{10}{9}-8 | b575d4cce4794a5d | train | human | |
3^{20}\equiv1mod100 | 4f74a00b4a0d1521 | train | human | |
f_{s}\equiv\frac{V_{s}}{4\pi r_{u}^{3}/3} | a6bd5b95b98978ff | train | human | |
r_{p}=\frac{K_{C}^{2}}{\sigma_{Y}^{2}} | d8db6414222b09c7 | train | human | |
\int_{\Gamma\cup\Omega^{\prime}}\frac{f(\zeta)}{\zeta-T}d\zeta=0 | 610b9394bc5f0fa2 | train | human | |
I_{0}=I_{in}\frac{1-R}{1+R} | b84a47d6bb283bca | train | human | |
\psi(x)=\frac{d}{dx}ln\Gamma(x) | 98c4a9e2e4abfd3a | train | human | |
t_{d}=\frac{2v_{0}sin(\theta)}{g} | ffbe9af776027bbc | train | human | |
\frac{dC}{dt}=0 | 62c8c4dcaa452879 | train | human | |
\sqrt{t} | 65b1f89999c80a3a | train | human | |
\forall i,j(AB)^{ij}=C^{ij} | 2d2d8658b652653f | train | human | |
E^{*}\otimes_{R}E\rightarrow R | a856a3a7b4425357 | train | human | |
AA^{*}=JA^{*}AJ=I | bf4fb27dc5f1a8d2 | train | human | |
X\hat{\otimes}_{\epsilon}X | 862b7be355d6a44f | train | human | |
\hat{r}_{j} | 2ee99dac929134cb | train | human | |
\tilde{G} | d92d3ac02afdda5d | train | human | |
m\frac{dU}{dt} | 45619a7d4553d83b | train | human | |
F\underline{A} | 76fc1805796df6a5 | train | human | |
\sqrt{-x} | 8212dc4241a51d76 | train | human | |
(\begin{matrix}7\\ 5\end{matrix}) | 211ccf15ecc4cfbb | train | human | |
\frac{dy}{dx} | 165d8e0e380ac701 | train | human | |
mv\frac{dv}{dt}=H-fv-kv^{3} | ea13893ab7644f87 | train | human | |
\Gamma_{(z_{0},r)}=\partial D(z_{0},r) | ff27985b87d298c9 | train | human | |
0,...,n | ebe6dd616d3aed1b | train | human | |
\gamma=\frac{3}{\sqrt{3-\frac{e^{2}}{g^{2}}}} | abbc08db2751bf64 | train | human | |
\frac{2\chi}{\sqrt{\frac{Um_{sen}}{o^{9}}}} | f3ab104929b1e75d | train | human | |
x\in\{a_{1},...,a_{k}\} | 6212c41479b21f51 | train | human | |
(A-\tilde{\lambda}_{*}I) | c2b607812b1f8e2d | train | human | |
\beta_{u}=\frac{d^{u}\beta(\omega)}{d\omega^{u}}|_{\omega=\omega_{0}} | 95226d00d9e3ada7 | train | human | |
[\begin{matrix}1&1\\ 0&1\end{matrix}] | 263a31753ceb297e | train | human | |
lim_{n\rightarrow\infty}\frac{a_{n}}{n} | 464466e89fff5c7a | train | human | |
\overline{L} | 12b091ae4758f069 | train | human | |
(26)t_{i}=y | b0cbaf448a75e272 | train | human | |
\frac{323\cdot1^{6}}{(\frac{10}{388})^{1}} | 45d090c02976968f | train | human | |
\frac{5}{289}\cdot\sqrt{8}-{\sqrt{3}^{\sqrt{3}}}^{3} | 1790b2a344635b0f | train | human | |
\frac{C_{P}}{C_{V}}=\frac{\beta_{T}}{\beta_{S}} | ae63c436fab2e956 | train | human | |
\frac{\partial C_{v}}{\partial\sigma} | 877e2ec2c8241796 | train | human | |
\int e^{-x^{2}}dx | a629af2010bd7a8f | train | human | |
p(\tilde{x}|m) | b4a8ecdbd80f41b5 | train | human | |
(10^{423}-3)+\frac{\sqrt{136}}{5} | b767db79653e009f | train | human | |
5^{9}/471^{325} | 17177e805e47a48c | train | human | |
v_{a}=\frac{1}{2}gt | 9aa929e6cd1d2900 | train | human | |
(\int f)^{3} | da2e7a2e6cd7d8ab | train | human | |
\frac{x}{7hours}=\frac{90miles}{3hours} | 9f03b448ef48e766 | train | human | |
\langle\vec{R}^{2}\rangle=l^{2} | 48e3bcb070cca690 | train | human | |
exp_{a}^{e}(x)=a^{a^{+^{+^{a^{x}}}}} | bc4506657ea4b3d7 | train | human | |
\frac{d\beta}{dt} | 6fc5e873af563297 | train | human | |
0\le\frac{r}{n}\le1 | f6dee4f8c0e9b709 | train | human |
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