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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 complex number ： FOLDOC complex number A number of the form x+iy where i is the square root of -1, and x and y are real numbers, known as the "real" and "imaginary" part. Complex numbers can be plotted as points on a two-dimensional plane, known as an {Argand diagram}, where x and y are the Cartesian coordinates. An alternative, {polar} notation, expresses a complex number as (r e^it) where e is the base of {natural logarithms}, and r and t are real numbers, known as the magnitude and phase. The two forms are related: r e^it = r cos(t) + i r sin(t) = x + i y where x = r cos(t) y = r sin(t) All solutions of any {polynomial equation} can be expressed as complex numbers. This is the so-called {Fundamental Theorem of Algebra}, first proved by Cauchy. Complex numbers are useful in many fields of physics, such as electromagnetism because they are a useful way of representing a magnitude and phase as a single quantity. (1995-04-10) 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.