Explore: Matrix Trigonometric Spectrum

of a periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a

{\displaystyle \mathbf {X} } and Y {\displaystyle \mathbf {Y} } . The trigonometric interpolation polynomial p ( t ) = { 1 N [ X 0 + X 1 e i 2 π t + ⋯ +

is not the case all the time. For example, one cannot define all the trigonometric functions in a Banach algebra without identity. The theory of real Banach

projection matrix that is not an orthogonal projection matrix is called an oblique projection matrix. The eigenvalues of a projection matrix must be 0

approximation of trigonometric functions (that is, taking only up to the second term in the Taylor series expansion of each trigonometric function), sin

finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Given an n × n square matrix A of real or complex numbers

Henri Poincaré first discovered automorphic forms as generalizations of trigonometric and elliptic functions. Through the Langlands conjectures, automorphic

floating-point system Elementary functions (exponential, logarithm, trigonometric functions): Trigonometric tables — different methods for generating them CORDIC —

math and may be shown to be equivalent to the divergence of the Jacobian matrix shown below for the gradient of a vector: ∇ T = ( ∇ T x , ∇ T y , ∇ T z

practical. An FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse (mostly zero) factors. As a result, it manages