翻訳と辞書 Words near each other ・ Algebraic closure ・ Algebraic cobordism ・ Algebraic code-excited linear prediction ・ Algebraic combinatorics ・ Algebraic connectivity ・ Algebraic curve ・ Algebraic cycle ・ Algebraic data type ・ Algebraic definition ・ Algebraic differential equation ・ Algebraic differential geometry ・ Algebraic element ・ Algebraic enumeration ・ Algebraic equation ・ Algebraic Eraser ・ Algebraic expression ・ Algebraic extension ・ Algebraic formula for the variance ・ Algebraic fraction ・ Algebraic function ・ Algebraic function field ・ Algebraic geometry ・ Algebraic Geometry (book) ・ Algebraic geometry and analytic geometry ・ Algebraic geometry of projective spaces ・ Algebraic graph theory ・ Algebraic group ・ Algebraic holography ・ Algebraic independence ・ Algebraic integer Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Algebraic expression ： ウィキペディア英語版 Algebraic expression In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, $3x^2\; -\; 2xy\; +\; c$ is an algebraic expression. Since taking the square root is the same as raising to the power $\backslash tfrac$, :$\backslash sqrt\}$ is also an algebraic expression. By contrast, transcendental numbers like π and ''e'' are not algebraic. A rational expression is an expression that may be rewritten to a rational fraction by using the properties of the arithmetic operations (commutative properties and associative properties of addition and multiplication, distributive property and rules for the operations on the fractions). In other words, a rational expression is an expression which may be constructed from the variables and the constants by using only the four operations of arithmetic. Thus, $\backslash frac$ is a rational expression, whereas $\backslash sqrt\}$ is not. A rational equation is an equation in which two rational fractions (or rational expressions) of the form $\backslash frac$ are set equal to each other. These expressions obey the same rules as fractions. The equations can be solved by cross-multiplying. Division by zero is undefined, so that a solution causing formal division by zero is rejected. ==Terminology== Algebra has its own terminology to describe parts of an expression: 256px 1 – Exponent (power), 2 – coefficient, 3 – term, 4 – operator, 5 – constant, $x,\; y$ - variables 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「Algebraic expression」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.