image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
O(\sqrt{n/w}) | d740e192dcabe1bf | train | human | |
\underline{u}:\underline{A} | 2ff2bf8dff6b2bfc | train | human | |
\sum_{y\in A}\langle x,y\rangle y | db396bda72dde759 | train | human | |
x_{i}=\frac{n_{i}}{n_{mix}} | 687821d11ee369d8 | train | human | |
\frac{\partial\rho}{\partial t}+\frac{\partial}{\partial x}(\rho u)=0 | 22659b32af1e68fc | train | human | |
T_{s}^{r}(V)\rightarrow T_{s-1}^{r-1}(V) | a635613c3331bb71 | train | human | |
1/\sqrt{2}(\pm1,\pm1,0) | c7479f7a5de1a38a | train | human | |
\rho_{Q_{7}...Q_{j}}^{T_{Q_{k_{7}}...Q_{k_{l}}}} | 417d273018f229d7 | train | human | |
\frac{l_{x}}{l_{i}}=\frac{1}{\sqrt{1-\frac{t^{2}}{j^{2}}}} | f49ee740bea0c12d | train | human | |
\frac{p}{2-p} | 835da19227608744 | train | human | |
r_{i}=\frac{1}{C(i)} | 12c8fb8111470f86 | train | human | |
z=\frac{z_{A}}{\sqrt{8-\frac{8}{c^{2}}z_{A}^{2}}} | 0e8919eea0b731f6 | train | human | |
B=-V_{c} | ad537f7faedd674d | train | human | |
\frac{\frac{\frac{3}{\sqrt{1}}}{447}}{4^{7}} | 9819cf70b1cf4c9d | train | human | |
(\frac{(164-242)}{\sqrt{5}})^{\frac{283}{9}} | 39609e397143442a | train | human | |
\sqrt{8a^{3}} | 2f47e75b3423804f | train | human | |
x_{i}=\frac{n_{i}}{n} | 1de8893a51a064ac | train | human | |
k_{4}^{\prime}=\frac{k_{4}-ra_{4}}{\sqrt{1-\frac{r^{4}}{c^{4}}}} | a540841cd2d8c532 | train | human | |
\pi\approx\frac{2l\cdot n}{th} | c9fd21b21b67aaba | train | human | |
\omega_{c}=\frac{0}{\sqrt{V_{\frac{0}{2}}J_{\frac{0}{2}}}} | c503673a99a208d5 | train | human | |
B_{SO}>>B_{\phi} | bbc4e769acbd978b | train | human | |
u_{1}=v_{1}=(\begin{matrix}3\\ 1\end{matrix}) | 659a1c98d2c387aa | train | human | |
\beta_{i}=-\gamma_{i}\cdot\hat{P} | dc6732178a7b38f5 | train | human | |
\int(\int f(r)dr)dv | 91e6936d298e8a27 | train | human | |
q=2^{\nu}\frac{a}{b} | a606424a0d32b7c0 | train | human | |
\tilde{\theta}=\hat{\theta}+\lambda U | 6af9f76be1572eca | train | human | |
\frac{1}{12}(i+\alpha-1) | b3d6c8ac05c04c05 | train | human | |
\overline{O}=O | 6835526e45433219 | train | human | |
\epsilon=\cdot\frac{log\frac{\tau_{\lambda_{1}}}{\tau_{\lambda_{9}}}}{log\frac{\lambda_{1}}{\lambda_{9}}} | 444c595e5af1486d | train | human | |
\hat{f}(I) | 7d08439c4568d39d | train | human | |
(\begin{matrix}d+n-1\\ d\end{matrix}) | 65b65e9d2fb27692 | train | human | |
X_{n}=\frac{1}{n}\sum_{i=1}^{n}Y_{i} | 2751b8395133d0e1 | train | human | |
f(x)>o(g(x)) | edd3f18153c31d01 | train | human | |
(\begin{matrix}2e&f\\ f&2g\end{matrix}) | a68ab734bbf81018 | train | human | |
P=\frac{0.33F_{u}\pi d^{2}}{4} | 4d21869b7b24ffe6 | train | human | |
\int_{0}^{y}\frac{t^{2}cos^{2}(t)}{(\frac{\pi^{2}}{4}-t^{2})^{2}}dt | fdde2f0ae1536942 | train | human | |
P_{a\perp v}=\frac{q^{2}a^{2}\gamma^{4}}{6\pi\epsilon_{0}c^{3}} | 5b928c7c3bcc04f1 | train | human | |
c_{g}=\frac{\partial\Omega}{\partial k} | f0438fc20eac9ad4 | train | human | |
A=15t^{2}cot\frac{\pi}{60} | afa88534a19d79f3 | train | human | |
\tilde{u}\in L^{2}(\mathbb{R}^{n}) | cff442aea58948e3 | train | human | |
\frac{\delta S}{\delta\phi}|_{\phi=B}=0 | c984da88f7ca4c45 | train | human | |
\tilde{\phi}(xU)=\phi(x) | d4df5e18f91b0e29 | train | human | |
\frac{\frac{2}{3}}{\frac{\frac{7}{300}}{1}} | 564d9b165ff7a8fa | train | human | |
\{\begin{matrix}7\\ 7\end{matrix}\} | bd3dad68d96e5fb8 | train | human | |
lim_{x\rightarrow0}\frac{sinx}{x}=1 | ccd3a2e746f6f710 | train | human | |
lp_{b}=\frac{lm_{b}v_{b}}{\sqrt{3+\frac{v_{b}^{2}}{o^{2}}}} | 665581efbce82ebc | train | human | |
\phi_{q}=\frac{V_{sen}}{E_{sen}} | 01e9b1bbf85658dd | train | human | |
(\begin{matrix}m+n\\ m\end{matrix}) | 89dc3cb7b0b5addb | train | human | |
A=(\begin{matrix}0&1\\ 1&0\end{matrix}) | e06d4feb2e0c6981 | train | human | |
x^{\underline{n}}=x(x-1)\cdot\cdot\cdot(x-n+1) | 2c8546f7763c0201 | train | human | |
(\begin{matrix}7\\ 5\end{matrix}) | c05ed9dccbb18749 | train | human | |
[-,-] | 789ad65f6e648f98 | train | human | |
\Phi_{n}(x)=\prod(x-\zeta) | 8f031d9d914ae835 | train | human | |
[v_{1}v_{2}] | 9a839886e5995101 | train | human | |
x_{2}^{\prime}=\frac{x_{2}\cdot vq_{2}}{\sqrt{7\cdot\frac{v^{2}}{a^{2}}}} | 3009b2512b3d2b06 | train | human | |
\delta(R\\ \{0\})=0 | 2be09281a7ee6fa7 | train | human | |
(\begin{matrix}c_{k}\\ k\end{matrix}) | b59ef23934172682 | train | human | |
i=n+1 | 0cb985cf49b7d269 | train | human | |
(\frac{7}{2}+201)^{4-9} | 742d518eb93bc939 | train | human | |
Z=(\begin{matrix}x&y\\ y&x\end{matrix}) | f12148a878ba6108 | train | human | |
x^{p/q}=\sqrt[q]{x^{p}} | 3103815f29622f89 | train | human | |
[\begin{matrix}a&b\\ c&d\\ \end{matrix}] | 5d54ce3307665077 | train | human | |
b^{\xi_{7}} | 18c283968fb2fef1 | train | human | |
\frac{k}{d}\cdot2^{d} | bfbdfabaeb2b971a | train | human | |
x^{2}=-4(y^{2}-1) | 120cd921f4beece9 | train | human | |
v(t)=I\frac{dl(t)}{dt} | da21762546961afa | train | human | |
d_{\zeta^{\eta}} | 714d86924dcca88e | train | human | |
f=\sum_{r}D^{(r)}(f)\cdot t^{r} | 9d7242cbf52cfdfe | train | human | |
\tilde{O_{P}}/O_{P} | f31f96c5c9600885 | train | human | |
\Gamma_{cab}=[ab,c] | 56430383d4bde164 | train | human | |
g(y)\frac{dy}{dx}=f(x) | 0f71d8b4020bb48f | train | human | |
\frac{dy}{dx}=0 | 718a89be2fc36913 | train | human | |
T_{d}\ge T_{h}\ge T_{c} | 81438b74d14ef788 | train | human | |
\frac{dy}{dx}=tan\varphi=\frac{\lambda gs}{T_{0}} | 7cf25a350327f084 | train | human | |
((\frac{\sqrt{8}}{6}\cdot389))^{89\cdot286^{60}} | a199952f5f39f30c | train | human | |
g(z)=\frac{Gm_{e}}{(r_{e}+z)^{2}} | cd1beb8b5df333b4 | train | human | |
(\begin{matrix}n+2\\ 2\end{matrix})-2n-1 | 0b1233e874c35c3a | train | human | |
u=\frac{1}{\sqrt{LC}} | 064960152ac8ba50 | train | human | |
\frac{1}{\gamma}\approx1-\frac{GM}{rc^{2}} | 7180f83d14ba7bd8 | train | human | |
t\tilde{a}+(1-t)\tau(\tilde{a}) | 39e6ab54c65a3604 | train | human | |
\frac{\sqrt{a^{2}-b^{2}}}{b} | 1d5c7e837de46b62 | train | human | |
\prod_{i=1}^{n} | 855ff06767a0af95 | train | human | |
\tilde{\tau} | d3a6cf284d3536ff | train | human | |
r_{SOI}=a(\frac{m}{M})^{2/5} | 886cdcdf1add8ca6 | train | human | |
\lambda=\alpha^{2}(L+\kappa)-L | 4d47b42931331ba4 | train | human | |
D(\Omega)\cap H^{\infty}(\Omega) | a3a7d9cf3752b7ec | train | human | |
x=v\sqrt{\frac{h}{2g}} | 4574aaf4fa5675cc | train | human | |
\frac{b}{a}=\frac{1+\sqrt{5}}{2} | f15514901c027be1 | train | human | |
\hat{p}=1 | d59b5abd93b5eda0 | train | human | |
\psi=(\begin{matrix}\chi\\ \eta\end{matrix}) | 4180bb31e50ac060 | train | human | |
(a^{1/n})^{n}=a | 3a258222a3e7ec71 | train | human | |
G^{(y_{\tau})} | a9a0898159e875dd | train | human | |
\hat{y} | 81aa7d849640ce50 | train | human | |
x^{2}+c=(x+\sqrt{c})^{2} | f03f713beec66112 | train | human | |
p(\frac{1}{\epsilon},n,size(f)) | 08c190d461a17a95 | train | human | |
\tilde{\varphi}:\mathbb{S}^{\lambda}E\rightarrow M | 353133dc67d35193 | train | human | |
\frac{2h\alpha}{e^{2}} | 76870393d1258938 | train | human | |
\tilde{\phi}\circ\omega_{G}=\omega_{H}\circ\phi | c0ab66e60a9b1de9 | train | human | |
\frac{(7\cdot3)^{301}}{{10^{6}}^{3}} | dcb599511866c799 | train | human | |
\frac{159\cdot10}{363^{347}} | 23af22575dd1a39d | train | human |
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