V2EX heaviside

Heaviside

释义 Definition

Heaviside 常指“海维赛德(的)”,多用于数学与工程语境,最常见的是 Heaviside step function(海维赛德阶跃函数/单位阶跃函数),表示从 0 突然跳到 1 的理想化“开关”函数;也可指英国科学家 Oliver Heaviside(奥利弗海维赛德)本人。

发音 Pronunciation (IPA)

/hvsad/

例句 Examples

The Heaviside function is 0 for negative time and 1 for positive time.
海维赛德函数在负时间取 0,在正时间取 1。

In signal processing, we model a switch turning on at \(t=0\) using a Heaviside step function and then analyze the system with Laplace transforms.
在信号处理中,我们用海维赛德阶跃函数来模拟在 \(t=0\) 打开的开关,然后用拉普拉斯变换分析系统。

词源 Etymology

Heaviside 源自人名,来自 19 世纪英国自学成才的物理学家与电气工程理论家 Oliver Heaviside。由于他在电报理论、微分算子方法以及电磁学(包括对麦克斯韦方程的整理与推广)方面的重要贡献,后人用他的姓氏来命名阶跃函数、相关运算与方法。

相关词 Related Words

文学与名著用例 Literary Works

  • Electromagnetic Theory(Oliver Heaviside 著)
  • The Laplace Transform(David V. Widder 著;常用 Heaviside 阶跃函数处理分段函数)
  • Methods of Theoretical Physics(Morse & Feshbach 著;常见 Heaviside 函数在物理建模中的用法)
  • Engineering Electromagnetics(William H. Hayt 等著;涉及 Heaviside 相关电磁学传统与术语)
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