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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 Indeterminate equation ： ウィキペディア英語版 Indeterminate equation An indeterminate equation, in mathematics, is an equation for which there is more than one solution; for example, 2''x'' = ''y'' is a simple indeterminate equation, as are a''x'' + b''y'' = c and ''x''2 = 1. Indeterminate equations cannot be solved uniquely. Prominent examples include the following: Univariate polynomial equation: :$a\_nx^n+a\_x^+\backslash dots\; +a\_2x^2+a\_1x+a\_0\; =\; 0,$ which has multiple solutions for the variable ''x'' in the complex plane unless it can be rewritten in the form $a\_n(x-b)^n=0$. Non-degenerate conic equation: :$Ax^2\; +\; Bxy\; +\; Cy^2\; +Dx\; +\; Ey\; +\; F\; =\; 0,$ where at least one of the given parameters ''A'', ''B'', and ''C'' is non-zero, and ''x'' and ''y'' are real variables. Pell's equation: :$\backslash \; x^2\; -\; Py^2\; =\; 1,$ where ''P'' is a given integer that is not a square number, and in which the variables ''x'' and ''y'' are required to be integers. The equation of Pythagorean triples: :$x^2+y^2=z^2,$ in which the variables ''x'', ''y'', and ''z'' are required to be positive integers. The equation of the Fermat–Catalan conjecture: :$a^m+b^n=c^k,$ in which the variables ''a'', ''b'', ''c'' are required to be coprime positive integers and the variables ''m'', ''n'', and ''k'' are required to be positive integers the sum of whose reciprocals is less than 1. == See also == * Indeterminate system * Indeterminate (variable) * Linear algebra 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「Indeterminate equation」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.