orthonormal function

orthonormal function
An orthogonal function whose inner product with itself is unity

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  • Orthonormal function system — An orthonormal function system (ONS) is an orthonormal basis in a vector space of functions. See basis (linear algebra), Fourier analysis, square integrable, Hilbert space for more. Categories: Mathematics stubsLinear algebraFunctional analysis …   Wikipedia

  • orthonormal — adjective Date: 1932 1. of real valued functions orthogonal with the integral of the square of each function over a specified interval equal to one 2. being or composed of orthogonal elements of unit length < orthonormal basis of a vector space > …   New Collegiate Dictionary

  • orthonormal — ˌ adjective Etymology: orth + normal 1. of real valued functions : orthogonal with the integral of the square of each function over a specified interval equal to one 2. : being or composed of orthogonal elements of unit length orthonormal basis… …   Useful english dictionary

  • orthonormal — adj. normal, normalized (Mathematics in function systems); condition in which any two vectors are perpendicular and that each has a length of one unit (Mathematics in vector systems) …   English contemporary dictionary

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …   Wikipedia

  • Wave function collapse — Quantum mechanics Uncertainty principle …   Wikipedia

  • Sinc function — In mathematics, the sinc function, denoted by scriptstylemathrm{sinc}(x), and sometimes as scriptstylemathrm{Sa}(x),, has two definitions, sometimes distinguished as the normalized sinc function and unnormalized sinc function. In digital signal… …   Wikipedia

  • Basis function — In mathematics, particularly numerical analysis, a basis function is an element of the basis for a function space. The term is a degeneration of the term basis vector for a more general vector space; that is, each function in the function space… …   Wikipedia

  • Associated Legendre function — Note: This article describes a very general class of functions. An important subclass of these functions mdash;those with integer ell and m mdash;are commonly called associated Legendre polynomials , even though they are not polynomials when m is …   Wikipedia

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