Vocab Bloom Hub

nilpotent

/ˈnɪl.poʊ.tənt/

翻译: 数学术语,指某个元素(例如矩阵)在取正整数次幂(或自乘若干次)后变为零的性质。

1 个条目

adjective

/ˈnɪl.poʊ.tənt/C2formalscientific
  • zh数学术语,指某个元素(例如矩阵)在取正整数次幂(或自乘若干次)后变为零的性质。

A technical term in mathematics describing an element (such as a matrix) that becomes zero when raised to a positive integer power.

  1. Equal to zero when raised to a certain powerC2formalscientific

    Describes an element (such as a number or matrix) that becomes zero when multiplied by itself a finite number of times.

    zh幂零

    • A nilpotent matrix has all eigenvalues equal to zero.
    • In ring theory, a nilpotent element satisfies x^n = 0 for some positive integer n.
    • The concept of nilpotent operators is fundamental in linear algebra.
词形
  • more nilpotent comparative form
  • most nilpotent superlative form