V2EX complex number

Complex Number

释义 Definition

复数:由实部和虚部组成的数,通常写作 a + bi,其中 a、b 为实数,i 为虚数单位且满足 i = 1。复数可用于表示平面上的点、旋转与振动等现象。(在数学、工程与物理中非常常见。)

发音 Pronunciation (IPA)

/km.plks nm.b/

例句 Examples

A complex number has a real part and an imaginary part.
复数有实部和虚部。

Using complex numbers, we can represent rotations in the plane more elegantly than with real numbers alone.
使用复数,我们可以比只用实数更优雅地表示平面内的旋转。

词源 Etymology

complex 源自拉丁语 complexus(“交织在一起的、由多部分组成的”),强调“由多个成分构成”。number 来自拉丁语 numerus(“数、数量”)。合起来 complex number 字面是“由多个部分构成的数”,对应其“实部 + 虚部”的结构。

相关词 Related Words

文学与经典著作 Literary Works

  • Complex Analysis(Lars Ahlfors)
  • Visual Complex Analysis(Tristan Needham)
  • Functions of One Complex Variable(John B. Conway)
  • Complex Variables and Applications(James Ward Brown & Ruel V. Churchill)
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