complex conjugation
71Spherical harmonics — In mathematics, the spherical harmonics are the angular portion of an orthogonal set of solutions to Laplace s equation represented in a system of spherical coordinates. Spherical harmonics are important in many theoretical and practical… …
72Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …
73Group of Lie type — In mathematics, a group of Lie type G(k) is a (not necessarily finite) group of rational points of a reductive linear algebraic group G with values in the field k. Finite groups of Lie type form the bulk of nonabelian finite simple groups.… …
74Wigner D-matrix — The Wigner D matrix is a matrix in an irreducible representation of the groups SU(2) and SO(3). The complex conjugate of the D matrix is an eigenfunction of the Hamiltonian of spherical and symmetric rigid rotors. Definition Wigner D matrix Let j …
75Galois group — In mathematics, a Galois group is a group associated with a certain type of field extension. The study of field extensions (and polynomials which give rise to them) via Galois groups is called Galois theory. The name is for Évariste Galois.For a… …
76Supergravity — In theoretical physics, supergravity (supergravity theory) is a field theory that combines the principles of supersymmetry and general relativity. Together, these imply that, in supergravity, the supersymmetry is a local symmetry (in contrast to… …
77Parseval's theorem — In mathematics, Parseval s theorem [Parseval des Chênes, Marc Antoine Mémoire sur les séries et sur l intégration complète d une équation aux differences partielle linéaire du second ordre, à coefficiens constans presented before the Académie des …
78Karhunen-Loève theorem — In the theory of stochastic processes, the Karhunen Loève theorem (named after Kari Karhunen and Michel Loève) is a representation of a stochastic process as an infinite linear combination of orthogonal functions, analogous to a Fourier series… …
79Class formation — In mathematics, a class formation is a structure used to organize the various Galois groups and modules that appear in class field theory. They were invented by Emil Artin and John Tate. Contents 1 Definitions 2 Examples of class formations 3 The …
80Harmonic wavelet transform — In the mathematics of signal processing, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet based linear transformation of a given function into a time frequency representation. It combines advantages of the… …
