complex-conjugate
81CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… …
82Hopf fibration — In the mathematical field of topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3 sphere (a hypersphere in four dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931, it… …
83Cauchy-Riemann equations — In mathematics, the Cauchy Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, are two partial differential equations which provide a necessary and sufficient condition for a differentiable… …
84Wave 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… …
85Cube root — Plot of y = for . Complete plot is symmetric with respect to origin, as it is an odd function. At x = 0 this graph has a vertical tangent. In mathematics, a cube root of a number, denoted …
86Frobenius-Schur indicator — In mathematics the Schur indicator, named after Issai Schur, or Frobenius Schur indicator describes what invariant bilinear forms a given irreducible representation of a compact group on a complex vector space has, and can be used to classify the …
87Compass and straightedge constructions — Creating a regular hexagon with a ruler and compass Construction of a regular pentagon Compass and straightedge or ruler and compass construction is the construction of lengths, angl …
88Root of unity — The 5th roots of unity in the complex plane In mathematics, a root of unity, or de Moivre number, is any complex number that equals 1 when raised to some integer power n. Roots of unity are used in many branches of mathematics, and are especially …
89Antilinear map — In mathematics, a mapping from a complex vector space to another is said to be antilinear (or conjugate linear or semilinear, though the latter term is more general) if for all a, b in C and all x, y in V, where and are the complex conjugates of… …
90Jordan normal form — In linear algebra, a Jordan normal form (often called Jordan canonical form)[1] of a linear operator on a finite dimensional vector space is an upper triangular matrix of a particular form called Jordan matrix, representing the operator on some… …
