翻訳と辞書 Words near each other ・ Step by Step (Eddie Rabbitt album) ・ Step by Step (Eddie Rabbitt song) ・ Step by Step (Linda George album) ・ Step by Step (New Kids on the Block album) ・ Step by Step (New Kids on the Block song) ・ Step by Step (TV series) ・ Step by Wicked Step ・ Step climb ・ Step cutting ・ Step dance ・ Step Dave ・ Step detection ・ Step Down to Terror ・ STEP Eiken ・ Step Forward ・ Step function ・ Step In the Arena ・ Step in the Name of Love ・ Step in Time ・ Step Inside ・ Step Inside Love ・ Step Inside This House ・ Step into Chinese ・ Step into Christmas ・ Step into Liquid ・ Step Into My Groove ・ Step into My Office, Baby ・ Step into My World ・ Step into My World (album) ・ Step into My World EP 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 Step function ： ウィキペディア英語版 Step function In mathematics, a function on the real numbers is called a step function (or staircase function) if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having only finitely many pieces. ==Definition and first consequences== A function $f:\; \backslash mathbb\; \backslash rightarrow\; \backslash mathbb$ is called a step function if it can be written as :$f(x)\; =\; \backslash sum\backslash limits\_^n\; \backslash alpha\_i\; \backslash chi\_(x)\backslash ,$ for all real numbers $x$ where $n\backslash ge\; 0,$ $\backslash alpha\_i$ are real numbers, $A\_i$ are intervals, and $\backslash chi\_A\backslash ,$ (sometimes written as $1\_A$) is the indicator function of $A$: :$\backslash chi\_A(x)\; =\; \backslash begin$ 1 & \mbox x \in A, \\ 0 & \mbox x \notin A. \\ \end In this definition, the intervals $A\_i$ can be assumed to have the following two properties: # The intervals are disjoint, $\backslash scriptstyle\; A\_i\; \backslash ,\backslash cap\backslash ,\; A\_j\; ~=~\; \backslash emptyset$ for $\backslash scriptstyle\; i\; ~\backslash ne~\; j$ # The union of the intervals is the entire real line, $\backslash scriptstyle\; \backslash cup\_^n\; A\_i\; ~=~\; \backslash mathbb\; R.$ Indeed, if that is not the case to start with, a different set of intervals can be picked for which these assumptions hold. For example, the step function :$f\; =\; 4\; \backslash chi\_\; +\; 3\; \backslash chi\_\backslash ,$ can be written as :$f\; =\; 0\backslash chi\_\; +4\; \backslash chi\_\; +7\; \backslash chi\_\; +\; 3\; \backslash chi\_+0\backslash chi\_.\backslash ,$ 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「Step function」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.