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词汇 identity element
类别 英汉双解翻译词典
释义 identity elementn.Mathematics(名词)【数学】
  1. The element of a set of numbers that when combined with another number in an operation leaves that number unchanged. For example, 0 is the identity element under addition for the real numbers, since ifa is any real number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication for the real numbers, since a × 1 = 1 × a = a. Also called unity 单位元素,幺元:与其它数字进行运算后而此数字不被改变的数字元素。例如,0在加法运算中是任何实数的单位元素,因为假设a 是任意实数 a 加上0等于0加上 a 还是等于 a。 同样,1在乘法运算中是任意实数的单位元素,因为 a ×1=1× aa 也作 unity
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