image imagewidth (px) 4 512 | latex stringlengths 1 188 | sample_id stringlengths 16 16 | split_tag stringclasses 1
value | data_type stringclasses 1
value |
|---|---|---|---|---|
\int_{p}fdx | 2d337cfb6665981d | train | human | |
\hat{\nu}_{i} | 89c579d3902b0922 | train | human | |
2^{\sqrt{2}} | 780aba45fb2869b1 | train | human | |
u_{yy} | bea03023c3827f30 | train | human | |
(\vee)\frac{A\vee B}{A|B} | b0d9649dc4d16b79 | train | human | |
\frac{h(\Delta T)}{\Delta T}=i | e0056b92e3b5d6d6 | train | human | |
[\begin{matrix}1&3\\ 2&6\end{matrix}] | d3f020349fa91c98 | train | human | |
\frac{e^{-\frac{x-\mu}{s}}}{s(1+e^{-\frac{x-\mu}{s}})^{2}} | 3383f2f6788a07e8 | train | human | |
P=-i\hbar\frac{d}{dq} | 3d16a8dcd3738af0 | train | human | |
y=\frac{x^{3}-2x}{2(x^{2}-5)} | 17599d2af2e13924 | train | human | |
\int_{0}^{1}f(p)dp | 759a2c41209a5c01 | train | human | |
(\frac{(7/229)}{\sqrt{2}})^{(289\cdot3)} | 825cbabbef93a3c8 | train | human | |
\int_{0}^{\infty}f(x)dx | eadce0cd3edeb799 | train | human | |
lim_{k\rightarrow\infty}|A^{k}|^{\frac{1}{k}}=\rho(A) | 70cf8d3dc2408561 | train | human | |
\tilde{A}_{9} | f5a8bb895d8970dd | train | human | |
L=lim_{n\rightarrow\infty}|\frac{a_{n+1}}{a_{n}}| | 2f878d3adeabdd38 | train | human | |
(\Omega,F,P) | 5048ac8657392ab2 | train | human | |
H^{1}(S,GL_{n}(Z)) | 02b8411f48322efa | train | human | |
z_{u}^{y} | bd477152eb0e1da9 | train | human | |
d\nu(x)\equiv\frac{1}{\pi}d^{2}\alpha | 7c766bc2ce6b8bd9 | train | human | |
\int_{0}^{t}Y(r)dr | 1cc40b7091a1f2fa | train | human | |
\int_{0}^{\infty}f(x)dx | d370e1d05b09d1b2 | train | human | |
\omega_{n}=\frac{\omega_{d}}{\sqrt{1-\zeta^{2}}} | fca6d90cdbc8f6ca | train | human | |
\frac{1}{1-az^{-1}} | 9bb2a0ea11ac71f2 | train | human | |
s_{5}=y_{1}y_{2}y_{3}y_{4}y_{5} | 6723d7eae319fa90 | train | human | |
m(x)=\frac{1}{\pi|1-x^{2}|} | 28bfcd1d24b19087 | train | human | |
\|\begin{matrix}x&y\\ z&v\end{matrix}\| | d03a0d8d60b2f116 | train | human | |
\frac{ds}{dt} | b6644da4a46edc2b | train | human | |
\frac{1}{h_{12}}[\begin{matrix}1&-h_{11}\\ -h_{22}&\Delta[h]\end{matrix}] | ef767a804334d87a | train | human | |
1=\sqrt{(N_{x}^{2}+N_{z}^{2})} | 541735c1d913cf22 | train | human | |
\frac{B_{21}}{B_{12}}=\frac{g_{1}}{g_{2}} | 6b40b63632d83597 | train | human | |
(1-3x)=0 | be887304d8706e1c | train | human | |
u\notin C | b3831cd5567cc777 | train | human | |
[\begin{matrix}1&c\\ 0&1\end{matrix}] | 72c645394784aecc | train | human | |
||u_{k}||<1/k | e90908c2f0216b26 | train | human | |
\lambda | fc328eb0dd2a158e | train | human | |
\frac{\partial U}{\partial T} | 52b407c1a120eac1 | train | human | |
z=\frac{\xi-\frac{1}{\xi}}{2i} | d51efd5bb4118cbc | train | human | |
D=\prod_{i=1}^{n}D_{i} | e7ca2d1aa348bc6e | train | human | |
(\frac{6}{10})^{(\frac{58}{399}\cdot395)} | 87ca7e649062f667 | train | human | |
\sum_{n=0}^{\infty}\frac{(-1)^{n}x^{2n+1}}{(2n+1)!} | 65df86becd28b531 | train | human | |
(d,(\begin{matrix}d+1\\ 2\end{matrix})) | e9886edfdc18bb51 | train | human | |
W=\sum_{i}f(\frac{H_{i}-E}{\omega}) | 7b2d3400131710c9 | train | human | |
\sqrt{h_{1}^{2}+h_{2}^{2}} | a619966c07bf76d3 | train | human | |
-1x+3 | 2354d1c4bc5f84f8 | train | human | |
\frac{1}{3}(\eta^{\prime})^{2}=f(\eta) | 1d4ed23073c9c817 | train | human | |
\hat{x}\in X | 56a69648fdea7838 | train | human | |
\frac{T^{2}}{\langle\sigma v\rangle} | 5ebe6b0688e098cc | train | human | |
\tau_{g}^{\delta} | 777a89ae60aadc19 | train | human | |
W_{\alpha}\equiv-\frac{1}{4}\overline{D}^{2}D_{\alpha}V | b9ac426e820bac4b | train | human | |
{{1^{9}}^{397}}^{\frac{5\cdot117}{481}} | 0702b78a6150447b | train | human | |
\frac{x}{b}=\frac{c}{d} | 1a7a78edb47e6e7b | train | human | |
1/\sqrt{2\pi} | 8d400f8a4c654e6f | train | human | |
\frac{dN}{dt} | bbcba0bd749f0cc7 | train | human | |
sinu=\frac{sin\frac{\theta}{2}}{sin\frac{\theta_{0}}{2}} | 0911457ae1e6bf3e | train | human | |
Z=(\begin{matrix}x&y\\ y&x\end{matrix}) | 2711a76d82765ebc | train | human | |
M=-EI\frac{d^{2}w}{dx^{2}} | ae3fc3be8aca29c0 | train | human | |
(\begin{matrix}k\\ 2\end{matrix})-m | a42d5478e824db8c | train | human | |
\nabla\cdot E=4\pi\rho_{e} | bcdedef5c78fb2e2 | train | human | |
a^{a^{+^{+^{+^{a}}}}} | f8d4efa49c58e755 | train | human | |
x^{*}=-A^{-1}b | 75f3691931b5511d | train | human | |
U_{L,0}/U_{L,1}\simeq l^{\times} | 5bb5037887086765 | train | human | |
S_{3}:C\rightarrow C | 5f552e4cfa402a32 | train | human | |
k=\frac{1}{4\pi\epsilon_{0}} | a06bcf42aff76679 | train | human | |
R_{i}\rightarrow R=\prod R_{i} | 1e53f88ccabf0a4e | train | human | |
\{rs(\overline{rs})^{-1}|r\in R,s\in S\} | b262af6615863a5c | train | human | |
\hat{A}(t) | e915ccdce2a847bf | train | human | |
\nabla B_{z}=\frac{dB_{z}}{dA}\nabla A | dec7624d35488278 | train | human | |
\frac{\frac{64}{252}}{(\frac{3}{\sqrt{10}})^{476}} | c24f534a8e213561 | train | human | |
\tilde{D}_{7} | df757f6db8608c1b | train | human | |
\lfloor\frac{n^{2}}{4}\rfloor | 673defcd7528c7e2 | train | human | |
X\frac{d}{dX} | 26f7b0f8d1d1676c | train | human | |
\frac{\frac{\sqrt{235}+17}{6}}{(109\cdot6)} | b13a402718e5bc28 | train | human | |
\prod_{k=0}^{n-1}(N-2k) | 30e0f5c6af9ebeb0 | train | human | |
u=\frac{gr^{2}}{3\eta_{2}}(\rho_{2}) | 8201f3a5b41245a5 | train | human | |
t_{j-1,j}=t_{j,j-1} | 4ac297ca26b99d4a | train | human | |
p_{x}(n+x) | 579b0fae0dcc3e34 | train | human | |
Im(\frac{tan(x+iy)}{x+iy}) | 1c8e2f49158a9938 | train | human | |
r=\sqrt{x^{2}+y^{2}+z^{2}} | a0c9626d763f383d | train | human | |
U_{k}(\omega)\rightarrow(\frac{i\omega}{\omega_{c}})^{2} | a066549b3fb2749b | train | human | |
F(z)=\int_{\gamma}f(\zeta)d\zeta | 1f96e0927e6549bf | train | human | |
2cos\frac{2\pi}{7}\approx1.247 | 7f54b59659d405bd | train | human | |
\prod_{k=1}^{n/2}2(2k-1) | 5bb7b5e7fe54859a | train | human | |
m\ge(\begin{matrix}k\\ 2\end{matrix}) | 006a15764aca7382 | train | human | |
(\begin{matrix}1&-1\\ 1&0\end{matrix}) | e6d9635ecca6da2c | train | human | |
X=A(\theta)S+N | 8b5d889484e7b185 | train | human | |
1+\sqrt{2}+\sqrt{6} | fa9802558f5b66ae | train | human | |
M^{2}dM=-\frac{K_{ev}}{c^{2}}dt | 5b990efe02f1f705 | train | human | |
A=\frac{r_{2}-r_{1}}{2}(8) | 79524d57f1b776bb | train | human | |
{{10^{1}}^{3}}^{\frac{451}{\sqrt{1}}} | b0018f1b8160211f | train | human | |
d\mu=\frac{dxdy}{y^{2}} | 49cb352221114abc | train | human | |
\int\frac{e^{x}}{x}dx | d4a208a2a9faa5e8 | train | human | |
\frac{dK(t)}{dt} | e489615908c721dd | train | human | |
5\sqrt{3} | b205143985ecf176 | train | human | |
\omega_{m}=\frac{1}{\sqrt{LC}} | ce4f618b65ff8393 | train | human | |
\int_{X}f(x)dx | 57f8fc75d0b65996 | train | human | |
[\begin{matrix}2&0\\ 0&1\end{matrix}] | 3ba7e0b82c4bc8b6 | train | human | |
(\frac{86}{6}\cdot224)^{(\frac{193}{72})^{150}} | 27cccf71882efe1d | train | human | |
\frac{d}{dz}w=w | f350a50e9ecd73db | train | human | |
V:=L(\underline{b}_{1},...,\underline{b}_{r}) | 8b7847daa23f43c5 | train | human |
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