σ(n)的意思、翻譯和例句

是什麼意思

σ(n) 是數論中的一個函數,稱為「約數和函數」(divisor sum function),它的定義是對於正整數 n,σ(n) 表示 n 的所有正約數的總和。這個函數在數論中有著重要的應用,特別是在研究整數的性質和分解時。

依照不同程度的英文解釋

  1. A way to add up numbers that can divide another number.
  2. A function that gives the total of all divisors of a number.
  3. A mathematical function that sums all the positive factors of a number.
  4. A function that calculates the sum of all divisors of a given integer.
  5. A number that represents the total of all positive divisors of another number.
  6. A mathematical function used in number theory to find the sum of all divisors of an integer.
  7. A function that provides the sum of all positive divisors of a specific integer, including the number itself.
  8. A function that aggregates all positive divisors of a number, used in various mathematical contexts.
  9. A significant function in number theory that quantifies the sum of all positive divisors of a given integer.
  10. A mathematical function that computes the total of all divisors of a number, essential in number theory.

相關英文單字或片語的差別與用法

1:Divisor sum function

用法:

這是一個數學函數,對於每一個正整數 n,計算其所有正約數的和。它在數論中非常重要,特別是在分析整數的性質時。

例句及翻譯:

例句 1:

對於 n = 6,約數和函數 σ(6) = 1 + 2 + 3 + 6 = 12。

For n = 6, the divisor sum function σ(6) = 1 + 2 + 3 + 6 = 12.

例句 2:

我們可以用約數和函數來檢查整數的性質。

We can use the divisor sum function to check the properties of integers.

例句 3:

在數論中,約數和函數是一個研究整數特性的基本工具。

In number theory, the divisor sum function is a fundamental tool for studying the properties of integers.

2:Sum of divisors

用法:

這個術語指的是一個整數所有正約數的總和。它在數學中用於分析整數的結構和特性。

例句及翻譯:

例句 1:

對於任何整數 n,我們都可以計算其約數的總和。

For any integer n, we can calculate the sum of its divisors.

例句 2:

約數的總和在數論中有著廣泛的應用,特別是在質數的研究中。

The sum of divisors has wide applications in number theory, especially in the study of prime numbers.

例句 3:

計算 n 的約數總和有助於理解其因數結構。

Calculating the sum of divisors of n helps in understanding its factor structure.