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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Belevitch's theorem ： ウィキペディア英語版 Belevitch's theorem Belevitch's theorem is a theorem in electrical network analysis due to the Russo-Belgian mathematician Vitold Belevitch (1921–1999). The theorem provides a test for a given S-matrix to determine whether or not it can be constructed as a lossless rational two-port network. Lossless implies that the network contains only inductances and capacitances - no resistances. Rational (meaning the driving point impedance ''Z''(''p'') is a rational function of ''p'') implies that the network consists solely of discrete elements (inductors and capacitors only - no distributed elements). ==The theorem== For a given S-matrix $\backslash mathbf\; S(p)$ of degree $d$; : :where, :''p'' is the complex frequency variable and may be replaced by $i\; \backslash omega$ in the case of steady state sine wave signals, that is, where only a Fourier analysis is required :''d'' will equate to the number of elements (inductors and capacitors) in the network, if such network exists. Belevitch's theorem states that, $\backslash scriptstyle\; \backslash mathbf\; S(p)$ represents a lossless rational network if and only if,〔Rockmore ''et al.'', pp.35-36〕 : :where, :$f(p)$, $g(p)$ and $h(p)$ are real polynomials :$g(p)$ is a strict Hurwitz polynomial of degree not exceeding $d$ :$g(p)g(-p)\; =\; f(p)f(-p)\; +\; h(p)h(-p)$ for all $\backslash scriptstyle\; p\; \backslash ,\; \backslash in\; \backslash ,\; \backslash mathbb\; C$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Belevitch's theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.