complex conjugation

  • 61Riesz representation theorem — There are several well known theorems in functional analysis known as the Riesz representation theorem. They are named in honour of Frigyes Riesz. The Hilbert space representation theorem This theorem establishes an important connection between a …

    Wikipedia

  • 62Phase-shift keying — Passband modulation v · d · e Analog modulation AM · …

    Wikipedia

  • 63Algebraic number theory — In mathematics, algebraic number theory is a major branch of number theory which studies the algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number… …

    Wikipedia

  • 64Antiunitary — In mathematics, an antiunitary transformation, is a bijective function:U:H 1 o H 2,between two complex Hilbert spaces such that :langle Ux, Uy angle = overline{langle x, y angle}=langle y, x angle for all x and y in H 1, where the horizontal bar… …

    Wikipedia

  • 65Mumford–Tate group — In algebraic geometry, the Mumford–Tate group MT(F) constructed from a Hodge structure F is a certain algebraic group G, named for David Mumford and John Tate. When F is given by a rational representation of an algebraic torus, the definition of… …

    Wikipedia

  • 66Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t …

    Wikipedia

  • 67Dirichlet's unit theorem — In mathematics, Dirichlet s unit theorem is a basic result in algebraic number theory due to Gustav Lejeune Dirichlet.[1] It determines the rank of the group of units in the ring OK of algebraic integers of a number field K. The regulator is a… …

    Wikipedia

  • 68Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …

    Wikipedia

  • 69Associated 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

  • 70Euclidean plane isometry — In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections,… …

    Wikipedia