image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1 value | data_type stringclasses 1 value |
|---|---|---|---|---|
G/\{s,t\} | 35b963517c2d0bd6 | train | human | |
a/\sigma_{2}=u/\sigma_{1} | ca861be81f93437b | train | human | |
\delta^{ij}=q^{ab}E_{a}^{i}E_{b}^{j} | 35156e7d4d52db93 | train | human | |
f(\hat{x}) | 2ab7f928e9936e10 | train | human | |
{9^{9}}^{\frac{9}{5}} | 74b2439710954326 | train | human | |
r\{\begin{matrix}4\\ 3\end{matrix}\} | d6ca37733d2935fb | train | human | |
m_{zal}=\frac{m_{5}}{\sqrt{1-\frac{p^{6}}{c^{6}}}} | 5d9906f9ad25a99b | train | human | |
\frac{dP(r)}{dr} | 05c5bc6db1b96ae8 | train | human | |
Q(\alpha)=\frac{1}{\pi}\langle\alpha|\hat{\rho}|\alpha\rangle | d9268b466a43874e | train | human | |
O(mlogn) | deeceb80cec75d43 | train | human | |
\int_{0}^{1}f(x)v(x)dx | 658fcafe4bba21d6 | train | human | |
\tilde{\phi} | c558c6e2c4ddf755 | train | human | |
P=\int_{K}\rho(k)dk | 05059ebe98d0151f | train | human | |
A\cap B=\emptyset | 3c8d735fc8cfc6f4 | train | human | |
\frac{dv}{dt} | 682f94718bea6b24 | train | human | |
\mu=\varphi(n)^{-1}modn | 9007a28b1e76b775 | train | human | |
A,B,E\in2^{X} | 4dc4d0f31851fb08 | train | human | |
lim_{n\rightarrow\infty}\frac{t(n)}{b(n)}<\infty | 00ed66f07dafdfc5 | train | human | |
(352+\sqrt{2})^{((2+361)+\sqrt{2})} | 14d9ee5193f9ba78 | train | human | |
\frac{x}{4}+\frac{1}{x^{2}}=0 | b3550b1f0a291410 | train | human | |
\frac{f(a+h)-f(a)}{h} | 4d1a2fcd70ca6e9b | train | human | |
\hat{a}_{t} | cc0669b7b69b2b4c | train | human | |
\phi_{i}=\frac{V_{i}}{V_{mix}} | 2efe9a304dda91fc | train | human | |
-2\int u^{-1/2}du | 867de7719bb7804d | train | human | |
20\sqrt{3} | e28677783a052f54 | train | human | |
W\underline{A} | bf2e59e081c1024f | train | human | |
(\begin{matrix}L\\ d\end{matrix}) | b039fe8370c3285e | train | human | |
e^{38^{38^{38^{322}}}} | b8f7d821b302b894 | train | human | |
(\frac{M}{L^{3}}) | eade51fe1c99fff9 | train | human | |
r=\frac{1}{2}tcot\frac{\pi}{60} | 32ca74224cc310e3 | train | human | |
S_{X_{t}+1} | 1a1abf0a045d0916 | train | human | |
MA=\frac{F_{B}}{F_{A}}=\frac{v_{A}}{v_{B}} | ff979bc7c9a2419c | train | human | |
A=\int_{0}^{a}e^{x}dx | cc221174670d1951 | train | human | |
\varphi=-\frac{c^{2}}{2}\epsilon\nabla\gamma_{00} | fb88af216ff93166 | train | human | |
\int dV\rho=q_{2} | 8236013ae6aa0271 | train | human | |
[\frac{S(X_{1})+S(X_{2})}{C(X_{1})+C(X_{2})}] | 785e77faa6828240 | train | human | |
-\nabla^{2}\phi(x)=\frac{\rho(x)}{\epsilon_{0}} | b10e8b5c2d255350 | train | human | |
\frac{dS}{dT} | e357d9f00bafe73f | train | human | |
p=(r+\frac{1}{\lambda_{n}})B_{0} | f7bbdd33f686fd70 | train | human | |
\int\sqrt{x^{3}+1}dx | 0bbdd6f808aa0d36 | train | human | |
\hat{x}_{4}=\sum_{i=1}^{3}w_{i}x_{i} | 9451e4581b547d87 | train | human | |
3^{2n}=2^{m} | d5c58ba083a4c6f1 | train | human | |
x_{7}^{\prime}=\frac{x_{7}+vt_{7}}{\sqrt{7+\frac{v^{3}}{o^{3}}}} | 3e7f0d4997e42128 | train | human | |
\frac{1+\frac{n}{c}cos\iota_{s}}{\sqrt{1\cdot\frac{n^{3}}{c^{3}}}} | b119a7f81ee940da | train | human | |
K=\langle S,s^{i},T,L\rangle | 574e344be2cab14a | train | human | |
lim_{n\rightarrow\infty}H_{n}^{k} | 25183a78c9567316 | train | human | |
\theta_{n}(t)=-\frac{1}{\hbar}\int_{0}^{t}E_{n}(t^{\prime})dt^{\prime} | 1b5e97f214776fcb | train | human | |
\hat{s}^{\prime} | 8dfdac37b9a0f846 | train | human | |
5^{5^{5^{5^{5^{5}}}}}-7 | 2d9415122023a6cf | train | human | |
\frac{1}{N}\sum_{n=0}^{N-1}U^{n} | a8e3f6e77d9848ae | train | human | |
n=\int fd^{3}p | 10cf757be4915d30 | train | human | |
\int p(x)dx=1 | cb822a481b17ac04 | train | human | |
\tilde{p}_{P} | 2e583d9ea7284cb9 | train | human | |
\chi_{mn}=\sum_{i}a_{mi}a_{ni}^{*} | 0640450d5f0cdd24 | train | human | |
\epsilon(\begin{matrix}n\\ 2\end{matrix}) | 34c81246f754b04a | train | human | |
\underline{S}_{\lambda} | 029e9d95966dae35 | train | human | |
E_{i}G_{i\pm1}E_{i}=lE_{i} | 66d1eb734c5023f4 | train | human | |
u | bfd40f99a28de97a | train | human | |
\Delta B=P_{\pm}(1,0,0) | d2a5eefdc745b055 | train | human | |
I | 0cbc0ce8b924a844 | train | human | |
15^{15^{15^{15^{...}}}} | 6129ce79a4fe07e8 | train | human | |
\tilde{f}_{i} | 1cb18e943c2b997c | train | human | |
\int x^{s}\phi(x)dx | 14a0fd16aab833ae | train | human | |
\frac{1}{P}\frac{dP}{dt}=k | 385bb05cb0c2922a | train | human | |
\tilde{\phi} | 046fa1d7e9cdcdb4 | train | human | |
\frac{4\pi v}{\sqrt{1\cdot\frac{3v}{ry^{3}}}} | 10386e0eceff7acb | train | human | |
\sqrt{31}\times\sqrt{31} | 29bbcc7ac688bc8a | train | human | |
(\begin{matrix}j\\ v\end{matrix}) | 90583320510e87d6 | train | human | |
K_{k}(\tilde{M}) | ccd5b8528750a4f6 | train | human | |
\frac{452-9}{500}+\frac{\sqrt{7}}{5} | 1001d616f5682419 | train | human | |
\frac{dr(s)}{ds}=u_{1}(r(s)) | c90a17d3abef650c | train | human | |
M(k)=\frac{sinh(k/2)}{k/2} | ebb5f5b520b2fa30 | train | human | |
(\begin{matrix}0&0\\ 0&1\end{matrix}) | e3e7b92715514809 | train | human | |
\tilde{A}_{2} | 89f9efd7adda4d14 | train | human | |
K_{i}(\tilde{M}) | 5e8844ae0a1387c3 | train | human | |
\int f^{+} | 64602b5713d6bfac | train | human | |
\frac{\sqrt{6}+\sqrt{2}}{4} | 8adeaf8666f884b2 | train | human | |
tr(\gamma^{\mu}\gamma^{\nu}\gamma^{\rho}\gamma^{\sigma}\gamma^{5}) | 5313f74b77461fa1 | train | human | |
f(q)=\prod(q-c_{i})^{m_{i}} | 639ae9e8d17a41f8 | train | human | |
{177^{323}}^{\sqrt{6}\cdot219} | 20741f38779de58e | train | human | |
[\begin{matrix}1&2&1\\ -2&-3&1\\ 3&5&0\end{matrix}] | 4fcb4bd755384434 | train | human | |
\overline{z}=\frac{1}{N}\sum_{n=1}^{N}z_{n} | b166340a8b37df2e | train | human | |
\{\}<\prod_{i\in I}B_{i} | 29c413f3b8e355d5 | train | human | |
\overline{huv} | 4f898c9cbc6aebd4 | train | human | |
\frac{\sqrt{2}}{12} | 7ed1b5e7441983af | train | human | |
(\begin{matrix}c_{k}\\ k\end{matrix}) | 77a993509cb12ec2 | train | human | |
W=\int_{1}^{2}Fdx | cae382c16df95675 | train | human | |
I=\frac{1}{2}\sum_{i=1}^{n}c_{i}z_{i}^{2} | dcd331c0ba71a9cf | train | human | |
c=\int_{a}^{b}f(x) | e4e25a3436294455 | train | human | |
\frac{8}{4}+\frac{3}{4} | bcb8ff50e3513d53 | train | human | |
\frac{\lambda_{0}}{\sqrt{\epsilon_{r}}} | b53a6d3577728071 | train | human | |
(\cdot)^{+} | d0e94f6f1c247fa6 | train | human | |
\tilde{\sigma} | 5f538998c22456f2 | train | human | |
\hat{S}_{M} | 7f0318bdef8889dd | train | human | |
266^{3}-\frac{9}{\sqrt{462}} | b4b688a19a510500 | train | human | |
\frac{V_{1}}{V_{2}}=\frac{N_{1}}{N_{2}}=a | 2d4337b4e5d0d567 | train | human | |
P=\frac{F_{p}}{A_{p}-A_{r}} | ca211525711ce937 | train | human | |
\rho_{A_{1}...A_{r}}^{J_{A_{k_{1}}...A_{k_{o}}}} | 0726fa51092aff6f | train | human | |
\frac{1/5\cdot2}{\frac{\frac{36}{5}}{254}} | df293956620f2918 | train | human | |
K(u)=\frac{1}{\sqrt{2\pi}}e^{-\frac{1}{2}u^{2}} | 42f0c3e1b217defe | train | human |
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