image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
\sqrt[3]{z} | 36f24e44bf235c47 | train | human | |
C_{R}=\sqrt{\frac{h}{H}} | df13bf5e7933c7b8 | train | human | |
\sum_{1}^{k}(\frac{X_{i}}{\sigma_{i}})^{2} | 82df99ba13977594 | train | human | |
a_{1}^{a_{9}^{-^{-^{a_{y}}}}} | 3fbf533ab1352c19 | train | human | |
\frac{dy}{dt} | 9fbd895a9949473d | train | human | |
\int_{S}H^{2}dA | 5b1b9d66919a491a | train | human | |
\frac{Dt^{2}}{2} | 7d7860105d00db30 | train | human | |
\tilde{f}_{0}:X\rightarrow E | 7794c354be97e23a | train | human | |
\Delta t/T | 3391cf641275c91e | train | human | |
B=[\begin{matrix}0&A^{*}\\ A&0\end{matrix}] | 6c2202a98e596870 | train | human | |
\mathbb{V} | 50c64f53a86e5762 | train | human | |
Ek=\frac{\nu}{2D^{2}\Omega sin\varphi} | c45448bca9b44b48 | train | human | |
(\sqrt{9}/298-433)-\frac{251}{7} | 22c419038362fbeb | train | human | |
\hat{x}_{k} | 80562e0d31f323b9 | train | human | |
d(X)=\rho | bbc42781b2fb1560 | train | human | |
\frac{1}{a}\sqrt{\frac{\pi}{2}}sech(\frac{\pi}{2a}\omega) | 01c2837df52505c4 | train | human | |
y^{\prime}=Ay+f(x) | cc34958a4cd1c20d | train | human | |
\{\begin{matrix}8\\ 8\end{matrix}\} | fed68c0436b04f39 | train | human | |
4^{\sqrt{8}}+10-\frac{10}{9}-8 | 16adcfee1bb9310c | train | human | |
|x_{pq}|=|x_{sr}| | 4f90ec2496e71fbe | train | human | |
\frac{k}{\sqrt{k^{2}-1}} | d29a9adfdb77e8ae | train | human | |
[\begin{matrix}2&0\\ 0&1\end{matrix}] | 9c8cd16ef82d4132 | train | human | |
n^{\underline{k}} | b42b990c41a106c0 | train | human | |
\Phi=S-\frac{U}{T} | 6f3c43f191b9889a | train | human | |
A\rightarrow B/C\_D | a07139414b227c6b | train | human | |
(\begin{matrix}0&F\\ -F&0\end{matrix}) | 7b21f10542654825 | train | human | |
mn>1 | eef11fbd4cd8c356 | train | human | |
l=(n+1)/2 | b323ac87ab4983e9 | train | human | |
[\begin{matrix}4\\ 1\\ 8\end{matrix}] | 82fc2f47cb768efc | train | human | |
\frac{f(i)}{i}=\frac{1}{2}+O(\sqrt{\frac{loglogi}{i}}) | bb847dd60311b504 | train | human | |
q=\frac{\partial\psi}{\partial n} | 0d9f66cf82c1bbfd | train | human | |
\frac{(\frac{228}{\sqrt{1}})^{156}}{(4+320\cdot356)} | 5ba1a7afe7804f71 | train | human | |
\frac{1024}{729} | e10d963eef5a7b00 | train | human | |
(\begin{matrix}N\\ 2\end{matrix}) | 42dbe6a3d8ed1a7e | train | human | |
(\begin{matrix}x&y\\ 0&z\end{matrix}) | 60bdc34570708831 | train | human | |
\sqrt{\frac{10}{63}} | 31467d544db07e23 | train | human | |
S=\int Ldt | 73741931374c7aa9 | train | human | |
264-175-365-4+5 | 6f6b9e863ac36b6a | train | human | |
\tilde{E}_{8} | eba9152fc6f44d85 | train | human | |
union(a,b) | 2f1c4b449074b028 | train | human | |
(\frac{276+6}{1})^{450^{233}} | ab43241b2fbbad3e | train | human | |
(\begin{matrix}5\\ 5\end{matrix}) | 1885812b41f45cb4 | train | human | |
f(x^{*}(q);q)=0 | caec6b27cec41d5d | train | human | |
\hat{b} | 9e65958f17b43a92 | train | human | |
c_{i}=a+i\Delta x=\frac{2i}{n} | 594cd2322746199a | train | human | |
[\begin{matrix}4&6\end{matrix}] | cfd25c6c10cff2ee | train | human | |
5^{5^{5^{.^{.^{n}}}}} | 3efecd963b3d33bd | train | human | |
053^{053^{053^{053^{057}}}} | c24e3c9f449ac911 | train | human | |
p=\frac{m\cdot v}{\sqrt{1+\frac{v^{4}}{j^{4}}}} | 2820b683a0ce7c2e | train | human | |
w_{z}^{\psi} | 5f9bff461fd8deb5 | train | human | |
(\begin{matrix}n\\ 4\end{matrix}) | 9c8219192d133b60 | train | human | |
\tau=\sqrt{t^{2}-x^{2}} | c5e82fb9e8b01365 | train | human | |
(\forall R) | 6d0a50787c8c065f | train | human | |
]0,\infty[ | 86b475f6090f3094 | train | human | |
MV\frac{d\psi}{dt}=Y | f3bdc0387f7f3583 | train | human | |
\frac{d_{f}}{k_{f}} | a8847637885cae80 | train | human | |
\sqrt{\pi} | e5493631cbf75412 | train | human | |
(\frac{4}{3})\pi r^{3} | 761aa06ef33dda5a | train | human | |
\frac{6}{28}=\frac{3}{14}\approx0.21 | 5f01575653b86f4a | train | human | |
l_{(l_{\psi})} | 6edb83a0070b81f9 | train | human | |
T_{0}=\frac{1}{2}m(\frac{\partial r}{\partial t})^{2} | 658b57eb5305b80c | train | human | |
\frac{\Phi_{n}(2)}{gcd(n,\Phi_{n}(2))} | 4ba8d3b9fd8d52bf | train | human | |
\overline{X}_{n}=\frac{1}{n}\sum_{k=1}^{n}X_{k} | a85761c2e42aa650 | train | human | |
(\frac{\frac{2}{289}}{2}\cdot\frac{2^{97}}{17}) | e1feb9e3c8c43f07 | train | human | |
x\in H_{p}(M) | 095e96c115a9969c | train | human | |
P_{d}^{\prime}+P_{m}^{\prime}=1 | d21f323adc6874fc | train | human | |
A=[\begin{matrix}1&3\\ 2&1\end{matrix}] | 74d82283e89ba1ca | train | human | |
D_{+}f(0)=+\infty | e7c59bd695559b8c | train | human | |
\frac{dB}{dz} | a7b97268f8e6406f | train | human | |
\phi_{0}=[\begin{matrix}1\\ 0\end{matrix}] | c387db70c70e2728 | train | human | |
Y^{(\delta)} | 1be95f28741d2042 | train | human | |
\hat{p}=0 | 545653a277edc5f0 | train | human | |
a^{+\frac{(B+K)^{2}}{2{(s_{B})}^{2}}} | 7a6677e794d022f0 | train | human | |
C | 8056347a946f7215 | train | human | |
((455-155)+9+80+5) | e7624b992ae25617 | train | human | |
\tau_{a}^{*}(R_{j}f)=R_{j}(\tau_{a}^{*}f) | 39112b24735cb448 | train | human | |
\langle j|\rho|i\rangle=a_{j}a_{i}^{*} | a8fb3f8ebc9f5a4b | train | human | |
S=-mc\int ds | 6029c64a9fff182f | train | human | |
cos\phi_{0}=\frac{W}{V_{1}I_{0}} | 6fc3408e2330be9f | train | human | |
\tilde{L}=\sqrt{\nu}(C-||C\varphi||) | 401458031185840e | train | human | |
cos\alpha\approx\alpha-\frac{\alpha^{3}}{6} | a2edc36c07d5c043 | train | human | |
e^{i\theta}=e^{iargz}=\sqrt{\frac{z}{\overline{z}}} | 104d314e3dd54a3c | train | human | |
\frac{(t^{pq}-1)(t-1)}{(t^{p}-1)(t^{q}-1)} | ec42e743e1339ca4 | train | human | |
lim_{x\rightarrow\infty}\frac{ax^{a-1}}{e^{x}}=\frac{\infty}{\infty} | f4b217331aa6b8b7 | train | human | |
\Delta_{\psi}\hat{l}_{z}\Delta_{\psi}\theta\ge\frac{\hbar}{2} | 6096d7f99ef274d0 | train | human | |
p=\frac{\sum_{i=1}^{N}k_{i}}{Nr+\sum_{i=1}^{N}k_{i}} | 480288ecaf9dd909 | train | human | |
\frac{d^{2}y}{d^{2}t} | 5d00c5c7a6b36062 | train | human | |
r(t)=f(t)i+g(t)j | 673963256fdd2572 | train | human | |
-35\sqrt{2}/256 | c6ffb86014f1d53c | train | human | |
\sqrt[y]{x}=log_{y}x | a35d9fe5e186e3c8 | train | human | |
x_{t}^{*}=P_{t}+\gamma.Y_{t} | 3d9e1e4d0dcbc773 | train | human | |
\psi(x)=\frac{\Gamma^{\prime}(x)}{\Gamma(x)} | 1e9e5c0cf7a73a91 | train | human | |
H_{k}^{l}(t) | 70f1cfd921c62891 | train | human | |
(\begin{matrix}-1\\ 0\end{matrix})=1 | a7e693cfa2ee4fcf | train | human | |
\{I_{a},a\in A\} | 55a5faab7eec00b6 | train | human | |
-\frac{d^{2}}{dx^{2}} | 96d54a23ddc33800 | train | human | |
r=|z|=\sqrt{x^{2}+y^{2}} | 643ca202a31cc4cc | train | human | |
\frac{dx}{ds}=a | a2b4ca381c220b87 | train | human | |
(\begin{matrix}I_{p}&0\\ 0&-I_{q}\end{matrix}) | dfd30a19a4c3b65b | train | human | |
\xi\notin\Omega | c79771c9ac15d32b | train | human |
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