conjugate complex
11Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… …
12Complex polytope — A complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one. On a real line, two points bound a segment. This defines an… …
13Complex conjugate representation — In mathematics, if G is a group and ρ is a representation of it over the complex vector space V, then the complex conjugate representation ρ* is defined over the conjugate vector space V* as follows: ρ*(g) is the conjugate of ρ(g) for all g in G …
14Complex conjugate root theorem — In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root… …
15Conjugate (algebra) — This article is about conjugates in field extensions. For other uses, see Conjugation. In algebra, a conjugate of an element in a quadratic extension field of a field K is its image under the unique non identity automorphism of the extended field …
16Conjugate gradient method — A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic,… …
17Complex representation — The term complex representation has slightly different meanings in mathematics and physics. In mathematics, a complex representation is a group representation of a group (or Lie algebra) on a complex vector space. In physics, a complex… …
18complex conjugate — noun Of a complex number x, the complex number formed by changing the sign of the imaginary part: The complex conjugate of a + bi is a bi. Syn: conjugate …
19conjugate — con•ju•gate v. [[t]ˈkɒn dʒəˌgeɪt[/t]] adj., n. [[t]ˈkɒn dʒə gɪt, ˌgeɪt[/t]] v. gat•ed, gat•ing, adj. n. 1) gram. a) to recite or display all or some subsets of the inflected forms of (a verb) in a fixed order: to conjugate the present tense of… …
20Complex system — This article largely discusses complex systems as a subject of mathematics and the attempts to emulate physical complex systems with emergent properties. For other scientific and professional disciplines addressing complexity in their fields see… …
