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Mathematics
The series expansion of the exponential function
Another common definition of the exponential function to the natural basis, \(e^x\), comes from writing it as the series \(e^x = \sum_{k=0}^{\infty} \frac{x^k}{k!}\).
Mathematics
The definition of total probability
The total probability formula, \(P(A) = \sum_k P(A \cap B_k)\), relates the occurrence of an event \(A\) to that of several mutually exclusive events (\(B_k\)'s).
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 \(F-E+V=2\).