Split (3)

train · 230k rows

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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