单位阶跃函数

Also known as unit step function, Heaviside function

discontinuous function whose value is zero for negative numbers and one for positive numbers

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Within Vinony's link graph, 单位阶跃函数 is referenced by 165 other articles, and connects out to integral, continuous function and probability distribution.

Vinony files it under Generalized functions, Schwartz distributions and Special functions.

Its subject is documented across 41 Wikipedia language editions.

Key facts

General definition: H ( x ) := { 1 , x ≥ 0 0 , x < 0 {\displaystyle H(x):={\begin{cases}1,&x\geq 0\\0,&x<0\end{cases}}}
Fields of application: Operational calculus

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Wikidata facts

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Commons category: Heaviside function

Sources (3)

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Article · 中文

單位階躍函數，又称赫维赛德阶跃函数，通常用 H 或 θ 表记，有时也会用 u、1 或 𝟙 表记，是一个由奥利弗·亥维赛提出的阶跃函数，参数为负时值为0，参数为正时值为1。分段函数形式的定義如下：另一种定义为：或它是個不連續函數，其微分是狄拉克δ函數。它是一個幾乎必然是零的隨機變數的累積分布函數。事實上，的值在函數應用上並不重要，可以任意取。

Abstract from DBpedia / Wikipedia · CC BY-SA