complex conjugation

  • 31Moore-Penrose pseudoinverse/Proofs — Existence and Uniqueness =Let A be an m by n matrix over K , where K is either the field of real numbers or the field of complex numbers. Then there is a unique n by m matrix A^+ over K such that: #A A^+A = A #A^+A A^+ = A^+ #(AA^+)^* = AA^+… …

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  • 32Continuous functions on a compact Hausdorff space — In mathematical analysis, and especially functional analysis, a fundamental role is played by the space of continuous functions on a compact Hausdorff space with values in the real or complex numbers. This space, denoted by C(X), is a vector… …

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  • 33Automorphism — In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. The set of all automorphisms… …

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  • 34Constructible number — For numbers constructible in the sense of set theory, see Constructible universe. A point in the Euclidean plane is a constructible point if, given a fixed coordinate system (or a fixed line segment of unit length), the point can be constructed… …

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  • 35E₈ — In mathematics, E8 is the name given to a family of closely related structures. In particular, it is the name of four exceptional simple Lie algebras as well as that of the six associated simple Lie groups. It is also the name given to the… …

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  • 36Cubic reciprocity — is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence x3 ≡ p (mod q) is solvable; the word reciprocity comes from the form of the main theorem, which states that …

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  • 37Involution (mathematics) — In mathematics, an involution, or an involutary function, is a function that is its own inverse, so that: f ( f ( x )) = x for all x in the domain of f . General propertiesAny involution is a bijection.The identity map is a trivial example of an… …

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  • 38CM-field — In mathematics, a CM field is a particular type of number field K , so named for a close connection to the theory of complex multiplication. Another name used is J field . Specifically, K is a totally imaginary quadratic extension of a totally… …

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  • 39Real structure — In mathematics, several different mathematical objects have a notion of what a real structure on them is. Real structure of a Vector Space A real structure on a complex vector space V is an antilinear involution sigma: V o V. A real structure… …

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  • 40Hungarian language — Hungarian magyar Pronunciation [ˈmɒɟɒr] Spoken in …

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