image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\varphi | 2e550c15c2f5280e | train | human | |
t_{ij}(x)=t_{ji}(x)^{-1} | 29245569cc7398d3 | train | human | |
\frac{(7\cdot3)^{301}}{{10^{6}}^{3}} | 8238f15b84e235cb | train | human | |
\vdash\forall af(a)\rightarrow f(c) | 3bcd3c1fbae31274 | train | human | |
|\frac{q}{p}|\ne1 | aba589ae099304f1 | train | human | |
ln\frac{b_{n}}{a_{n}} | bcb1e66334c2498f | train | human | |
k=\prod_{i=1}^{m}q_{i}^{n_{i}} | a32b2dca1fed84d0 | train | human | |
\mathbb{F} | c43480e6caf9db93 | train | human | |
\frac{EO_{1}}{BE}=\frac{3}{13} | 3ef4da4766db8297 | train | human | |
ln(z)=ln(r)+\varphi i | 22ecc2540b799c78 | train | human | |
e^{\frac{a}{x}} | 1eea6a0f46c4d1ab | train | human | |
\hat{Y}_{i} | 6709d1dcf6ff8b75 | train | human | |
{{1^{9}}^{397}}^{\frac{5\cdot117}{481}} | c9a75e467f898e04 | train | human | |
\frac{1+N_{E}}{2+N} | 38f7b131cac15e88 | train | human | |
[\begin{matrix}a&r\\ d&s\end{matrix}] | 3c2fb968e62b34e3 | train | human | |
k_{1}^{k_{2}^{k_{6}^{-^{-^{-}}}}} | a166c07cabda9578 | train | human | |
\prod_{n=1}^{\infty}(1+p_{n}) | 22e451d09e440a51 | train | human | |
(2\pi|\xi|)^{2a}\hat{f}(\xi) | 172dd48b79c21feb | train | human | |
J=\int Fdt | da57e8c2443c16e0 | train | human | |
\hat{f}(k) | 0e6cf154c8d64f15 | train | human | |
(T,\Theta,G) | 933bc0291146e57a | train | human | |
P(g)=\frac{e^{-\frac{S(g)}{w_{B}A}}}{O} | 3ed1bead28b65d98 | train | human | |
-15 | abfc049b2ba1e22d | train | human | |
{{1^{9}}^{397}}^{\frac{5\cdot117}{481}} | e617208397777ed5 | train | human | |
b=2(m^{2}+3n^{2})/g | ef02e404c1d8a7bb | train | human | |
\prod(p(i)-1) | 373939d1416ccc75 | train | human | |
(56+\sqrt{3})\cdot\frac{443}{156} | feebb3c8f76a6379 | train | human | |
\Theta_{\eta}^{y} | 407e3dad669e1938 | train | human | |
(B\circ A)\frac{dX}{dt} | d16a5cb52e1c7032 | train | human | |
B=3(\int_{0}^{a}e^{x}dx) | c85c1514c296091a | train | human | |
l_{B}=\sqrt{\hbar/eB} | 37f52907e162ae60 | train | human | |
r>0.025 | cead267fe8bed48d | train | human | |
b(k_{4}) | 40ebbea34aa0c24b | train | human | |
{94^{\sqrt{6}}-92}^{(229\cdot10)} | bd8b4af84a81d5d3 | train | human | |
\frac{x^{\circ}}{360^{\circ}}=\frac{y}{2\pi r} | 5e78e0e147ce1f19 | train | human | |
\hat{L}^{2} | 544c3253e16aace4 | train | human | |
\sqrt{E}=(k^{2}-m^{2})^{\frac{1}{4}} | c952af1e1f2eeb8d | train | human | |
r_{1}=(G\cdot M/\omega^{2})^{1/3} | 04846ef180930a5e | train | human | |
0\notin\mathbb{N} | 5d5327abd2aa4751 | train | human | |
r=\frac{1+i}{1+p}-1 | b50f11184d893e27 | train | human | |
\int_{c(r)}R(z)dz=0 | c11d4107e0bd2d6e | train | human | |
B^{-1} | 67fa17382f005e6b | train | human | |
\dot{a_{j}}=-\omega\frac{\partial H(\phi^{*})}{\partial a_{j}} | 027802b366695e00 | train | human | |
y=\int\frac{dy}{dx}dx | bab408e5249de6ec | train | human | |
4-145^{\frac{\sqrt{335}}{1}} | 567c56896bcec041 | train | human | |
A_{f}=\frac{\alpha A}{1-\beta A}+\gamma | 7ea9af8835b330f2 | train | human | |
\frac{\frac{406}{277}}{9^{164}-2} | 0873a894d7da858c | train | human | |
806^{806^{806^{806^{806^{807}}}}} | 48dc4cbbbaab1bea | train | human | |
|f|_{2}=\sqrt{|S|} | fc4a34a93bc9a67a | train | human | |
|U_{e3}|^{2}=0 | 725873ff1e9feca6 | train | human | |
\phi\alpha\frac{Q}{ND^{3}} | 2881c2a34442e303 | train | human | |
\frac{a}{\sqrt{2}} | 5d33d57644ee5f28 | train | human | |
\frac{\sqrt{2}}{\sigma}F(\frac{p-\mu}{\sqrt{2}\sigma}) | 0f2d59954951e0ec | train | human | |
\frac{\lambda}{M+\lambda} | 560d023638f12985 | train | human | |
ba^{RC}\notin O | 205ce4bb632d3262 | train | human | |
\frac{4}{4+n}V+\frac{n}{4+n}v | 9341890573982b10 | train | human | |
(\frac{mol}{m^{2}\cdot s}) | c958918cc36ce7f0 | train | human | |
\omega=\omega^{-1}=e^{2\pi i/p} | ec72ca06cfbac144 | train | human | |
A=R^{2} | ea4cc2f436c15b66 | train | human | |
du=\sqrt{b^{2}-a^{2}}dx | 16ae42bd0028b3d3 | train | human | |
{238^{412}}^{\frac{132^{246}}{293}} | 759276635f1d081f | train | human | |
\frac{171}{1}-8^{\sqrt{1}} | 8d8d136f4ca82fca | train | human | |
A_{n}(z)=\sum_{k=0}^{n}a_{k}z^{k} | 37c564bc0b7fba5f | train | human | |
E_{i}=\int E(t)dt | 58e547dba178daca | train | human | |
(\begin{matrix}n\\ 0\end{matrix}) | d278b992de8a9765 | train | human | |
d\epsilon_{i,j}^{p}=s_{i,j}d\lambda | 5c75fe939d4d7a62 | train | human | |
\dot{p}_{k}=\frac{\partial L}{\partial q_{k}} | c30d0375e9121bf8 | train | human | |
p(z)=\prod_{n}(z-c_{n}) | 3f086d74e3e8ccc2 | train | human | |
r\ge ln\frac{1}{ln2} | f7c2b5083c0fc823 | train | human | |
\underline{x}=(x_{1},x_{2},x_{3},...,x_{N})^{T} | 613aa8fc68680de1 | train | human | |
\rho(x)=\frac{e^{\cdot\frac{x^{9}}{9}}}{\sqrt{9\psi}} | 7a7c8108c1ac54d5 | train | human | |
7^{7^{7^{7^{7}}}}-8 | bc57cad01afb67cc | train | human | |
\frac{1}{a}+\frac{1}{b}=\frac{1}{c} | 662f504322dfefeb | train | human | |
X\cap(\cap_{n<\omega}W_{n})\ne\emptyset | 6bbd61a1ed3d2035 | train | human | |
r\sqrt{d} | 1e2d6fd9e3fc986a | train | human | |
(i\cdot n)\hat{f}(n) | 9f2a552641809a3c | train | human | |
2\sqrt{3}+7\sqrt{3} | bd2722a1b23b6d49 | train | human | |
V=\frac{1}{2}kx^{2} | 4b3ebcaa0019d4a5 | train | human | |
\Gamma=\lambda_{B}/l_{charge}>1 | d49b86b34303fdfa | train | human | |
k=sin(\theta)\frac{mv}{\hbar} | 60abbc6ec10772e9 | train | human | |
\int_{0}^{T}g(t)dt | 41ff794cb94e6dbf | train | human | |
|d(u)-d(w)|\notin T | b11f56cefa660d96 | train | human | |
z_{\alpha}\sigma/\sqrt{n} | 6d0e7f957e93c267 | train | human | |
\theta_{A}=\frac{K_{eq}^{A}p_{A}}{1+K_{eq}^{A}p_{A}} | 2b7191e21c16fc0b | train | human | |
\int_{0}^{r}4\pi u^{2}du | 6a4d4ee8873c1aa4 | train | human | |
\sqrt{x^{2}+y^{2}}-L=0 | 934ed9a5a2e01ac9 | train | human | |
N_{G}/N\sim\langle k\rangle-1 | 1a896a01f685b663 | train | human | |
{j^{\lambda}}^{y} | ccdc02d1f688ae37 | train | human | |
((2\cdot2\cdot3)/\frac{5}{5}) | a0e6428039e19bb1 | train | human | |
\sqrt{s} | 1191f68d1e7abb4d | train | human | |
s_{i}=\phi^{*}(x_{i}) | 06c1cee1c2c2cf06 | train | human | |
P(1)\equiv0(modp) | 3f2b5051cef69d45 | train | human | |
\tilde{G}_{2},\tilde{F}_{4},\tilde{E}_{8} | d193c156e58f77be | train | human | |
T=\forall X.X\rightarrow X | 75e38549912b4a29 | train | human | |
(O\underline{A}\rightarrow\underline{A}) | 673a3264f26a5c7c | train | human | |
=m(x-x | 0803f335f4bb21d2 | train | human | |
\prod f_{i}:X\rightarrow\prod Y_{i} | 3e62250bad503903 | train | human | |
\frac{\frac{348}{273}}{1}-9^{13} | 4ad8d3bfdc4a8366 | train | human | |
I_{y}=\frac{\pi}{4}r^{4} | 1e2e900403d2071b | train | human | |
\xi(t)=A(1-e^{-\frac{t}{\tau}}) | 6b66025bce14440b | train | human |
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