image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
n\le\sqrt{p}/\lambda | a7f07ee09e27391d | train | human | |
1/\sqrt{|a|} | 84ba9ebf8c0ae45a | train | human | |
\int_{0}^{T}g(t)dt | 1561364725a6df66 | train | human | |
H=(\begin{matrix}0&-i\\ i&0\end{matrix}) | 127cdccfd50860ae | train | human | |
f^{\prime}(\overline{x}(s);s^{\prime})\ge0 | b9967061806e5882 | train | human | |
19^{469(\sqrt{1}\cdot4)} | ec25d26acd5d71fc | train | human | |
g(x)=\int_{0}^{x}f(t)dt | 5eee5373760997b8 | train | human | |
\overline{w^{\prime}c^{\prime}}=-K_{c}\frac{\partial c}{\partial z} | 71dd31357d57868a | train | human | |
\prod_{i}(x_{i}^{2}-1)=0 | f0308c118228e70a | train | human | |
\neg\varphi | f902a978f9034e28 | train | human | |
\int_{\gamma}f(z)dz | dea7d2a4e481f964 | train | human | |
n>j | c28ec377f403ce0b | train | human | |
=(\frac{1}{5}+\frac{1}{6}) | 3a913c5039bb76f9 | train | human | |
(P)\psi | ae2fb805901a9dad | train | human | |
e_{3}^{\prime}=\frac{e_{3}+\frac{v}{c^{3}}x_{3}}{\sqrt{0+\frac{v^{3}}{c^{3}}}} | ca705be183d2b761 | train | human | |
8^{8^{8^{n^{h}}}} | 772edbea48c70a96 | train | human | |
\int\sqrt{1+1/x^{2}}dx | 6f0eee3079a93c4c | train | human | |
y=\sqrt{x^{2}-|w|^{2}}>0 | ad0390500c04a35c | train | human | |
\frac{\partial x_{i}}{\partial q^{j}} | 34bc76cfcd387345 | train | human | |
\int_{a}^{b}\delta(x)dx | 6737e8936e912c56 | train | human | |
\frac{d}{dt}(\frac{\partial L}{\partial\dot{q}})=\frac{\partial L}{\partial q} | 87fc42feec5c46ef | train | human | |
{Z_{0}}^{2}-Z_{0}\delta Z=\frac{\delta Z}{\delta Y} | 3ef59108d4d1c739 | train | human | |
[-\frac{1}{2},0] | 066c512ee49bd11f | train | human | |
C:=Tv-(Tv\cdot v)v | 291f08e299075988 | train | human | |
h=\frac{38MPa}{16kNm^{-3}} | 02d3c70b07477f1b | train | human | |
h=\frac{\overline{X}_{9}-\overline{X}_{2}}{\sqrt{\frac{n_{9}^{2}}{N_{9}}\cdot\frac{n_{2}^{2}}{N_{2}}}} | be6223ebd85b2248 | train | human | |
e_{1},...,e_{s}\in F\backslash\{0\} | e032d1db79dbcdfe | train | human | |
(\begin{matrix}c_{i}\\ i\end{matrix}) | fe13d6b99d9e664d | train | human | |
B=3(\int_{0}^{a}e^{x}dx) | a41f99ea83ec2d3b | train | human | |
2((\begin{matrix}n\\ 1\end{matrix})+(\begin{matrix}n\\ 2\end{matrix})+(\begin{matrix}n\\ 3\end{matrix})) | dc6ddfd448a06104 | train | human | |
m\frac{d^{2}x}{dt^{2}}=f(x) | 58ff5d360ecda0af | train | human | |
v_{o}\approx\frac{v_{e}}{\sqrt{2}} | 9988d5cc2a46cfc4 | train | human | |
F^{\#}(z)=\overline{F(\overline{z})} | 70227d75ca6853a8 | train | human | |
A_{f}=\frac{\alpha A}{1-\beta A}+\gamma | cf5ea514d5915eb6 | train | human | |
\overline{x}=\frac{\sum_{i=1}^{N}x_{i}}{N} | 9cd7613162cd5164 | train | human | |
5\sqrt{6}\times\sqrt{6} | 4aa10e00d34b1fc7 | train | human | |
\frac{5\sqrt{3\pi}}{16} | 8ef37785fe70e429 | train | human | |
\frac{\partial I}{\partial x} | 955573c0be695251 | train | human | |
\Xi(x)=\frac{e^{\cdot\frac{x^{5}}{5}}}{\sqrt{5\pi}} | b8b13c8b38776f9b | train | human | |
(\begin{matrix}7\\ 2\end{matrix})=6\times\frac{7}{2}=21 | 13db76a3148a6597 | train | human | |
\overline{X}=\frac{X_{1}+\cdot\cdot\cdot+X_{n}}{n} | 79cd8020a6384ac2 | train | human | |
\overline{X}_{1} | a522e5f40d2370c8 | train | human | |
{(5-169)^{240}}^{8/7} | c37e79908e847862 | train | human | |
\frac{d}{2} | c9f80a2666c0e063 | train | human | |
R(r)=J_{m}(\lambda_{mn}r) | 3c5a7bb4177ed6dc | train | human | |
\frac{\partial^{2}z}{\partial x^{2}} | 4f3ecc96e3780e59 | train | human | |
\frac{1+\frac{r}{c}cos\lambda_{f}}{\sqrt{1-\frac{r^{7}}{c^{7}}}} | 0bfbca6add2c4081 | train | human | |
\hat{d} | 4925243e0f45c5f1 | train | human | |
|\phi_{i}\rangle|\phi_{i}\rangle=0 | e4e33241ddbc197e | train | human | |
\underline{T}(t)=\frac{d\gamma}{dt} | 61da6d251360c888 | train | human | |
g(M)\equiv0(mod\prod N_{i}) | ca6f32bc41f25e7f | train | human | |
\frac{F}{m}=\frac{650}{18.6}\approx35 | 3c538789746e0304 | train | human | |
5/5\cdot9^{(365-1)+299} | cc1de03d5865d267 | train | human | |
\hat{e}_{z} | 4d3ca50ab4645994 | train | human | |
(\frac{4}{264})^{10/197-\sqrt{9}} | 30cb0c28e4ff0d12 | train | human | |
0\le N<(\begin{matrix}n\\ k\end{matrix}) | 0766d6e6526b56dd | train | human | |
\sqrt{-}4(3-\sqrt{-}9) | cf6a5f320c439e79 | train | human | |
\tilde{s}_{i} | 1669cf989eaf9bca | train | human | |
(X,\{e_{i}|i\in J\}) | 8a964c312e3fec9f | train | human | |
p=\frac{1}{2}\mu_{0}(1-\kappa^{2}f) | 4ed97c128b468b7b | train | human | |
\tilde{k}\in B^{20m+64} | 623539579b7d47ef | train | human | |
\sqrt{z}=e^{\frac{1}{2}logz} | b59d84417fd20dea | train | human | |
X\cup_{f}B^{n} | 9c3639c3e1d4f83c | train | human | |
d\tilde{n}/d\eta | bf55001b857d3270 | train | human | |
\hat{p}=0 | a2f862c54e35abae | train | human | |
M=(\begin{matrix}n\\ 2\end{matrix})p | 4582f21e65ed033e | train | human | |
\hat{p} | b9b837a1a663ee31 | train | human | |
g^{(c_{h})} | 68a07ffe44d2fa9f | train | human | |
\frac{\alpha_{1}f^{\prime}(\alpha_{1})-f(\alpha_{1})}{f^{\prime}(\alpha_{1})} | 4b0e72b056ffa688 | train | human | |
\sigma_{ij}=\sqrt{\sigma_{ii}\sigma_{jj}} | fcf02d661f7b6c05 | train | human | |
[\begin{matrix}Z&Q\\ 0&Q\end{matrix}] | c89f9c007733431a | train | human | |
m=\frac{m_{0}}{\sqrt{6+\frac{d^{3}}{c^{3}}}} | 3bd8a8fe2bc48667 | train | human | |
a_{4}^{a_{3}^{-^{-^{a_{n}}}}} | 72e126bb5a2694e6 | train | human | |
((\infty),[\infty])\in I | 8a716924ba8b7711 | train | human | |
h(l):=\frac{l+1}{2l(l-1)} | a1dad09f1f2d308c | train | human | |
\sqrt{\frac{Z_{I2}}{Z_{I1}}}e^{-\gamma} | 18df98b7056a8c4a | train | human | |
t=0,\pm\frac{2\pi}{3} | e0370051e8b485f3 | train | human | |
im(f_{k})=ker(f_{k+1}) | ba1173dd0ca9816b | train | human | |
L[y]=\int_{a}^{t}ydt | 8b863ac96eb2868b | train | human | |
=-\frac{R^{2}}{8\mu}\frac{dP}{dx} | 543d1da4e219e91a | train | human | |
R_{pb}^{\prime}=R_{pb}-R_{mb} | 24b4ef3314f3256a | train | human | |
\sqrt{y^{T}Q^{-1}y} | 84360c306a5c0d58 | train | human | |
\int_{1}^{5}2xdx | 41ec3ecd4915c10c | train | human | |
\tilde{\phi}(xU)=\phi(x)V | b1b42c5a9a487036 | train | human | |
h(x)=\int_{0}^{x}f(t)dt | cfe9f0b1e464e522 | train | human | |
xD(1)=x*\frac{d}{dx}(1)=0 | c92f3841370adc44 | train | human | |
-\sqrt{\frac{2}{21}} | 1fbe11c51f14d3bc | train | human | |
(\begin{matrix}k\\ 2\end{matrix}) | 19512cf7c137ea20 | train | human | |
(261+169+\frac{3}{24}+141) | 56a1e8c8cc93d511 | train | human | |
C_{*}(\tilde{X}) | d9f68e04518cc3b7 | train | human | |
=\int_{0}^{h}A(y)dy | c7cd2829b7139b35 | train | human | |
(D_{-},D_{0},D_{+}) | b36ed8bc17fc209c | train | human | |
\frac{q-1}{q} | 04c64f8b93d02d65 | train | human | |
\frac{9}{\sqrt{10}}-76^{249} | ae8488df31b1e59d | train | human | |
\frac{m}{\sqrt{5-\frac{y^{8}}{c^{8}}}} | 9253aecee048c636 | train | human | |
M=\int_{V}\rho dV | 6d71bd19a5d17829 | train | human | |
\kappa=\frac{C_{OX}}{C_{OX}+C_{D}} | 41dcbfe16bf870ca | train | human | |
\overline{\alpha} | e0a7c208e0a3c8fe | train | human | |
\frac{\frac{(5/161)}{101}}{\frac{168}{1}} | 23b024298e146ac4 | train | human | |
\int uvdx | 026b51169a467446 | train | human |
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