Numerical Analysis

  • Fourier Transform

    Continuous-time Fourier Transform Fourier Series In Euclidean space, we usually represent a vector by a set of independent and orthogonal base vectors (basis). Orthogonality means the inner product between two

  • Stirling's Approximation

    Stirling’s Approximation Stirling’s approximation, which states that \(\Gamma(n+1) \sim \sqrt{2 \pi n} \left( \frac{n}{e} \right)^n\) as \(n \to \infty\), is useful when estimating the order of \(n!\). Notably, it is quite accurate even when \(n\) is small.