image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
MSD\approx t^{\frac{1+a}{2}} | e8a67e28ace06bb7 | train | human | |
[\begin{matrix}2&0\\ 0&-2\end{matrix}] | 0c46d0afd119f52c | train | human | |
\sqrt{I_{2}}=\lambda\sqrt{I_{1}} | ef63095ebe17b269 | train | human | |
du=\sqrt{b^{2}-a^{2}}dx | 244d79ca689f7c13 | train | human | |
F_{t,T}<S_{t}e^{r(T-t)} | f21afe520a2b7ff3 | train | human | |
{418\cdot445^{4}}^{\frac{2}{1}} | 76bfe5610f5077af | train | human | |
R_{iklm}=R_{lmik} | e15decadbe651672 | train | human | |
[S_{n}(f)](x) | 3b3477047b8bb851 | train | human | |
u:=\int_{a}^{b}v(t)dt | ced71489fda9b327 | train | human | |
L(M=i)=[m\le i]{(\begin{matrix}i\\ N\end{matrix})}^{-1} | 2a764d7663e28a61 | train | human | |
(261+169+\frac{3}{24}+141) | ac6b173f0d9913c9 | train | human | |
\int_{\Omega}fw=0 | 40a64c2e5346bb9c | train | human | |
\overline{N}(f) | 897e057b2fe243ce | train | human | |
(i)^{k}-(i+1)^{k} | 49038bd912b1e1e7 | train | human | |
s\in\prod_{i=1}^{l}\mathbb{Z}^{k} | e086b39d35da3dec | train | human | |
\sqrt{\frac{\sum{P_{i}}^{5}}{n}} | 64eaecfb2d10e69e | train | human | |
A=\frac{\mu_{0}}{4\pi}\frac{m\times r}{|r|^{3}} | a661985134bd2513 | train | human | |
\phi\circ\sigma_{t}=\phi | c105d85df2cc35b3 | train | human | |
f_{x}(m),(x\ge1) | df9322ddedeba3ae | train | human | |
(\frac{\frac{6}{2}}{2})^{8^{453}} | 037b00e6128e16b5 | train | human | |
(\begin{matrix}e&0\\ 0&e\end{matrix}) | 020c4b4c55093b74 | train | human | |
\alpha(i)\ne k\nu(i),\forall k | 15d62ea5d51a9cc4 | train | human | |
Z_{0}=\sqrt{\frac{L}{C}} | 86eb6bcaf4d04961 | train | human | |
\frac{c}{v_{g}}=n+\omega\frac{\partial n}{\partial\omega} | 401ba8c7cd993de7 | train | human | |
\Delta u(x,y)=\overline{u}(x,y)-u(x,y) | 45e4f8393ce132db | train | human | |
\frac{\sqrt{\frac{(p_{1}u)^{p_{1}}p_{2}^{p_{2}}}{(p_{1}u+p_{2})^{p_{1}+p_{2}}}}}{uM(\frac{p_{1}}{2},\frac{p_{2}}{2})} | 038a9ec819394270 | train | human | |
\frac{nA+x}{n+1} | 0895cfc2b318084d | train | human | |
E(X)=\int_{\Omega}XdP | f7294f4a5ade113c | train | human | |
(\frac{(7/229)}{\sqrt{2}})^{(289\cdot3)} | 58d1f172a4d3a2ac | train | human | |
f=\frac{J}{1+J} | 97b5283e6f6603b6 | train | human | |
\hat{h}_{L} | 3d8bb73c85df9dc7 | train | human | |
\hat{m}_{h}^{\prime}s | 14e87d2cb02bca20 | train | human | |
I_{e}=\frac{m}{12}(4h^{2}+w^{2}) | cac7b6afae00f33c | train | human | |
\int_{D}f\Delta g=0 | 2064a07b97330633 | train | human | |
\hat{n}_{b} | a7e188683a2a2306 | train | human | |
\hat{U}(t) | 409f24f1b7536c5d | train | human | |
t= | f8713258ea3b2e29 | train | human | |
\frac{du}{dx} | 6e049d7c7199ec4b | train | human | |
\rho(M)<1 | c3bcfbe7e2425aa5 | train | human | |
K_{i}=\frac{IC_{50}}{\frac{[A]}{EC_{50}}+1} | 9b361617667bd598 | train | human | |
-\sqrt{\frac{3}{35}} | 2230f91aea2dac16 | train | human | |
g=\int Gdz | 2b867e882f823ae6 | train | human | |
N\int BdS=LI | 578e49f9bf7a452b | train | human | |
1:\sqrt{\varphi}:\varphi | 0e75dbc5a8f80a63 | train | human | |
(\begin{matrix}x&y\\ -y&x\end{matrix}) | 4786518d6c780baf | train | human | |
I_{1}=D(b)f(b)b | 29b23692251d68fd | train | human | |
G:=-\frac{\partial(U-V)}{\partial A} | 15cad8d39d3aefbe | train | human | |
440Hz\cdot(\sqrt[12]{2})^{-19}\approx | 1a9badc76e95626b | train | human | |
V_{f}=(\frac{pi}{2\sqrt{3}})(\frac{r}{R})^{2} | 7b008e1fdc74a917 | train | human | |
\mu=e^{\int p(x)dx} | fbd2f09dbc36e411 | train | human | |
\mathbb{U} | 407a3b2248f071b1 | train | human | |
y_{k}=bsinh\mu_{k} | 0488995d208b8c37 | train | human | |
\hat{\gamma} | a5ea236af03589aa | train | human | |
((\frac{15}{360})^{5})^{(\frac{326}{195})^{5}} | b53a6a01a29855a8 | train | human | |
\phi_{i}=\frac{V_{i}}{V} | 9d414358f52eefef | train | human | |
\frac{(b+g-1)!}{b!(g-1)!} | 8c1a633d92122b1a | train | human | |
\hat{x}^{\prime} | 529b440d5798844e | train | human | |
x[-n] | f28b0feab81bf3ba | train | human | |
\frac{\partial\rho(z)}{\partial z} | 1197eb784af1e9b7 | train | human | |
P_{t}=(\begin{matrix}\frac{7}{8}&\frac{1}{8}\\ \frac{1}{16}&\frac{15}{16}\end{matrix}) | b82fc3d091686e40 | train | human | |
(\mathbb{Z}/q\mathbb{Z})^{*} | 329adc533a81b90c | train | human | |
H=\frac{P*(P-1)}{2} | 80ece2a08d61f163 | train | human | |
f^{**}\le f | 6f7e9c3a164ba564 | train | human | |
z\approx0.27 | 56c6c1e4fe92c0c9 | train | human | |
\frac{265}{153}<\sqrt{3}<\frac{1351}{780} | 0b0fc45138ccbec3 | train | human | |
P(H_{y}^{\epsilon})>0 | e4604603ff4d5175 | train | human | |
(\begin{matrix}0\\ 1\end{matrix}) | 0a9c7da6cd164d45 | train | human | |
(0,p) | aab07b603f4a8808 | train | human | |
(\begin{matrix}n\\ k\end{matrix})_{q} | 2812a24e1d404e0e | train | human | |
0\le\underline{d}(X)\le\overline{d}(X)\le1 | 7d4ae8684353a2a6 | train | human | |
(\begin{matrix}p\\ 1\end{matrix}) | 01a7c781dccfb024 | train | human | |
1=\frac{(\frac{1}{x})}{(\frac{1}{x})} | abb02317969cfedd | train | human | |
m=\frac{m_{9}}{({1\cdot\frac{v^{5}}{c^{5}})}^{4/5}} | a72f220c1f9e2c1d | train | human | |
x=\frac{\chi(1+1)}{1}=2\chi | 5e2c25617a021349 | train | human | |
\sum_{r=0}^{n}a_{r}(\overline{\zeta})^{r}=\overline{0}=0 | c2abe9cc532149f5 | train | human | |
RTI_{20}=\frac{h}{b}\times2924 | 5d4026bc45bcefab | train | human | |
b\overline{z} | 15231ac5e3c03f04 | train | human | |
\frac{\partial V}{\partial p} | ae2825d4a25f4d3e | train | human | |
0=-\pi h^{2}+\frac{16\pi}{3} | 86f05e2930654b55 | train | human | |
r-\frac{r^{2}}{2} | 354c5ab895f7315d | train | human | |
f^{\prime}(-1^{+})=f^{\prime}(0^{+}) | 59d8082ea00c968c | train | human | |
\frac{329}{139}+\frac{71}{1} | ba6d3cab90bd2ed6 | train | human | |
\overline{x}=\frac{\sum_{j=1}^{n}x_{j}}{n} | 5543d706931ae614 | train | human | |
Z_{i1}Z_{i2}={R_{0}}^{2} | 02ba0c0fb356a730 | train | human | |
\{A,B,C,E\} | 12c00dd8c449e823 | train | human | |
\sum_{n=1}^{\infty}(\zeta(2n)-1)=\frac{3}{4} | f62aa87171e091cc | train | human | |
\hat{p}_{x} | a7063764bbb1366c | train | human | |
BC\overline{D} | fda0d19703570197 | train | human | |
(\begin{matrix}p+q\\ q\end{matrix}) | 15a201579b09204e | train | human | |
|0\rangle=(\begin{matrix}1\\ 0\end{matrix}) | b3562f1ee42541a8 | train | human | |
(\begin{matrix}1&&0\\ 0&&-1\end{matrix}) | ca40681d966d5b83 | train | human | |
(h\pm c,k) | 51e3e102b0321400 | train | human | |
\overline{f}=[\begin{matrix}u\\ -v\end{matrix}] | e8ad7d2fb437511f | train | human | |
7-\sqrt{282}^{169+473} | 5ce4931185f0069e | train | human | |
\frac{}{id:-\alpha\vdash\alpha} | 80de3381a33b51b3 | train | human | |
\frac{\partial^{2}V(x)}{\partial x^{2}}=\gamma^{2}V(x) | ca3cae2953caaf4f | train | human | |
J=\int Fdt | d3ca3fba3e8e586c | train | human | |
A^{n}\rightarrow A\otimes_{B}A | caa04af7f952fbfe | train | human | |
f(x)=\prod_{i<4}(x-x_{i}) | a40664cfdf2bf64f | train | human | |
lim_{x\rightarrow\pm\infty}f(x)=0 | 9fde82785985fde4 | train | human |
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