complex-conjugate

  • 51Mathematical descriptions of opacity — When an electromagnetic wave travels through a medium in which it gets absorbed (this is called an opaque or attenuating medium), it undergoes exponential decay as described by the Beer–Lambert law. However, there are many possible ways to… …

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  • 52Maximum power transfer theorem — In electrical engineering, the maximum power transfer theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be equal to the resistance of the source as viewed from… …

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  • 53Character theory — This article refers to the use of the term character theory in mathematics. For the media studies definition, see Character theory (Media). In mathematics, more specifically in group theory, the character of a group representation is a function… …

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  • 54Maximum power theorem — In electrical engineering, the maximum power (transfer) theorem states that, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must be made the same as that of the source. It is claimed… …

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  • 55Matrix decomposition — In the mathematical discipline of linear algebra, a matrix decomposition is a factorization of a matrix into some canonical form. There are many different matrix decompositions; each finds use among a particular class of problems. Contents 1… …

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  • 56Hermitian adjoint — In mathematics, specifically in functional analysis, each linear operator on a Hilbert space has a corresponding adjoint operator. Adjoints of operators generalize conjugate transposes of square matrices to (possibly) infinite dimensional… …

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  • 57Cubic 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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  • 58Sesquilinear form — In mathematics, a sesquilinear form on a complex vector space V is a map V times; V rarr; C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix meaning one and a half . Compare with a bilinear …

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  • 59Normal matrix — A complex square matrix A is a normal matrix if where A* is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose. If A is a real matrix, then A*=AT. Hence, the matrix is normal if ATA = AAT.… …

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  • 60Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… …

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