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Antimetric Electrical Example
Antimetric may refer to: * Antimetric (electrical networks) An antimetric electrical network is an electrical network that exhibits anti- symmetrical electrical properties. The term is often encountered in filter theory, but it applies to general electrical network analysis. Antimetric is the diametrical o ... of a network that exhibits anti-symmetrical electrical properties * Antimetric matrix, a matrix equal to its negative transpose * Antimetrication, a position opposed to the use of the metric system of measurements {{dab ...
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Antimetric (electrical Networks)
An antimetric electrical network is an electrical network that exhibits anti-symmetry, symmetrical electrical properties. The term is often encountered in filter theory, but it applies to general electrical network analysis (electrical circuits), network analysis. Antimetric is the diametrical opposite of symmetric; it does not merely mean "asymmetric" (i.e., "lacking symmetry"). It is possible for networks to be symmetric or antimetric in their electrical properties without being physically or topology (electronics), topologically symmetric or antimetric. Definition References to symmetry and antimetry of a network usually refer to the input impedancesinput impedance. The input impedance of a Port (circuit theory), port is the impedance measured across that network port with nothing connected to it externally and all other ports terminated with a defined impedance. of a two-port network when correctly terminated."correctly terminated". This will most usually mean termination w ...
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Antimetric Matrix
In mathematics, particularly in linear algebra, a skew-symmetric (or antisymmetric or antimetric) matrix is a square matrix whose transpose equals its negative. That is, it satisfies the condition In terms of the entries of the matrix, if a_ denotes the entry in the i-th row and j-th column, then the skew-symmetric condition is equivalent to Example The matrix :A = \begin 0 & 2 & -45 \\ -2 & 0 & -4 \\ 45 & 4 & 0 \end is skew-symmetric because : -A = \begin 0 & -2 & 45 \\ 2 & 0 & 4 \\ -45 & -4 & 0 \end = A^\textsf . Properties Throughout, we assume that all matrix entries belong to a field \mathbb whose characteristic is not equal to 2. That is, we assume that , where 1 denotes the multiplicative identity and 0 the additive identity of the given field. If the characteristic of the field is 2, then a skew-symmetric matrix is the same thing as a symmetric matrix. * The sum of two skew-symmetric matrices is skew-symmetric. * A sca ...
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