A powerful search engine for mathematical formulas with LaTeX support
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Mathematics
The Laplace transform
Complicated convolution operations become simple multiplications via the Laplace transform \(F(s) = \int_{-\infty}^{\infty}f(x)e^{-s x}dx\) for function \(f\).
Mathematics
Euler's Formula for polyhedra
Euler's formula for convex polyhedra is a function of their number of faces (\(F\)), edges (\(E\)), and vertices (\(V\)), stating that \(F-E+V=2\).
Physics
Einstein's field equations in general relativity
In Einstein's general relativity, the field equation \(\mathcal{G} = - \frac{8\pi G}{c^4} \mathcal{T}\) relates spacetime curvature (\(\mathcal{G}\)) to its mass-energy content (\(\mathcal{T}\)).