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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 Ramp function ： ウィキペディア英語版 Ramp function The ramp function is a unary real function, easily computable as the mean of the independent variable and its absolute value. This function is applied in engineering (e.g., in the theory of DSP). The name ''ramp function'' is derived from the appearance of its graph. == Definitions == The ramp function ($R(x):\; \backslash mathbb\; \backslash rightarrow\; \backslash mathbb$) may be defined analytically in several ways. Possible definitions are: * A system of equations: *: * The max function: *: $R(x)\; :=\; \backslash operatorname(x,0)$ * The mean of a straight line with unity gradient and its modulus: *: $R(x)\; :=\; \backslash frac$ : this can be derived by noting the following definition of $\backslash operatorname(a,b)$, :: $\backslash operatorname(a,b)\; =\; \backslash frac$ : for which $a\; =\; x$ and $b\; =\; 0$ * The Heaviside step function multiplied by a straight line with unity gradient: *: $R\backslash left(\; x\; \backslash right)\; :=\; xH\backslash left(\; x\; \backslash right)$ * The convolution of the Heaviside step function with itself: *: $R\backslash left(\; x\; \backslash right)\; :=\; H\backslash left(\; x\; \backslash right)$ * H\left( x \right) * The integral of the Heaviside step function: *: $R(x)\; :=\; \backslash int\_^\; H(\backslash xi)\backslash ,\backslash mathrm\backslash xi$ * Macaulay brackets: *: $R(x)\; :=\; \backslash langle\; x\backslash rangle$ 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「Ramp 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.