网站首页  英汉词典

请输入您要查询的英文单词:

 

单词 multiplicative inverse
释义

multiplicative inverse

英汉-汉英词典
乘法逆元素
词组 | 习惯用语
您要查找的是不是:
    Modular multiplicative inverse 模乘逆元
    multiplication inverse element 乘法逆元
    inverse or multiplicative inverse 求一个矩阵的逆
multiplicative inverse [数] 乘法逆元素
原声例句
双语版 TED-Ed 演讲精选

So the multiplicative inverse of two is one-half, and the multiplicative inverse of 10 is one-tenth.

所以,2 的倒数是 1/2,10 的倒数是 1/10。

双语版 TED-Ed 演讲精选

If there is, the new number is called the multiplicative inverse of x.

如果有的话,这个新的数字就叫 X 的倒数

双语版 TED-Ed 演讲精选

As you might notice, the product of any number and its multiplicative inverse is always one.

你可能会注意到,任何一个数与其倒数相乘结果总是 1。

双语版 TED-Ed 演讲精选

Based on the definition of a multiplicative inverse, zero times infinity must be equal to one.

基于倒数的定义,0 乘以无穷大一定等于 1。

双语版 TED-Ed 演讲精选

If we want to divide by zero, we need to find its multiplicative inverse, which should be one over zero.

如果我们想除以 0 的话,我们需要找到它的倒数,那应该是 1/0。

双语版 TED-Ed 演讲精选

But because anything multiplied by zero is still zero, such a number is impossible, so zero has no multiplicative inverse.

但是因为所有数字乘以 0 结果仍然是 0,那 1/0 这样的数字是不可能的,所以 0 没有倒数

中文百科

倒数

倒数函数: y = 1/x.对除了0的每一x值,y即为其倒数
Geometric intuition for the integral of 1/x. The three integrals from 1 to 2, from 2 to 4, and from 4 to 8 are all equal. Each region is the previous region scaled vertically down by 50%, then horizontally by 200%. Extending this, the integral from 1 to 2k is k times the integral from 1 to 2, just as ln 2k = k ln 2.
Graph of f(x) = xx showing the minimum at (1/e, e−1/e).

数学上,一个数\displaystyle x倒数reciprocal),或称乘法逆元multiplicative inverse),是指一个与\displaystyle x相乘的积为1的数,记为\displaystyle \tfrac{1}{x}\displaystyle x^{-1}。在抽象代数中,倒数所对应的抽象化概念是乘法群的某个元素的“乘法逆”,也就是相对于群中“乘法”运算的逆元素。注意这个名词只当相应的群中的运算被称为“乘法”后才使用。如果群中的运算被称为“加法”,那幺同样的概念称为“加法逆”。乘法逆的具体定义可以参见群的逆元素概念。

汉语中,名词倒数一般用来表示数字的乘法逆,一般在各种数域如:有理数、实数、复数,以及模n的同余类所构成的乘法群中使用。在复数域(实数域)中,每个除了0以外的复数(实数)都存在倒数:只要用某个数自身1(也就是说用1除以某个数),即可得到它的倒数。用数学记号表示的话:

英语百科

Multiplicative inverse 倒数

The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. The graph forms a rectangular hyperbola.
Geometric intuition for the integral of 1/x. The three integrals from 1 to 2, from 2 to 4, and from 4 to 8 are all equal. Each region is the previous region scaled vertically down by 50%, then horizontally by 200%. Extending this, the integral from 1 to 2k is k times the integral from 1 to 2, just as ln 2k = k ln 2.
Graph of f(x) = xx showing the minimum at (1/e, e−1/e).

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f(x) that maps x to 1/x, is one of the simplest examples of a function which is its own inverse (an involution).

近义、反义、联想词
近义词
n.
inverse, opposite

英英词典
multiplicative inverse n.
  1. (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7

  2. synonymous: reciprocal
随便看

 

英汉网英语在线翻译词典收录了3779314条英语词汇在线翻译词条,基本涵盖了全部常用英语词汇的中英文双语翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2024 encnc.com All Rights Reserved
更新时间:2025/6/18 16:22:43