完美數的的意思、翻譯和例句

是什麼意思

「完美數」是數學中的一個概念,指的是一個正整數等於其所有正因數(不包括自身)的和。例如,6是完美數,因為1 + 2 + 3 = 6。完美數的研究可以追溯到古希臘時期,並且與數論和數學的其他領域有著密切的聯繫。完美數通常與梅爾森質數(Mersenne primes)有關,因為每個偶數完美數都可以表示為2^(p-1) × (2^p - 1),其中2^p - 1是質數。

依照不同程度的英文解釋

  1. A number that is equal to the sum of its smaller parts.
  2. A special type of number that is perfect.
  3. A number that can be divided into smaller numbers that add up to it.
  4. A number that is equal to the sum of its proper divisors.
  5. A number that has a unique property related to its divisors.
  6. A whole number that is equal to the sum of its proper divisors, excluding itself.
  7. An integer that matches a specific mathematical definition involving its factors.
  8. A number characterized by the equality of itself to the sum of its divisors.
  9. An integer that satisfies the condition of being equal to the sum of its aliquot parts.
  10. A natural number that is the sum of its proper divisors, representing a unique mathematical property.

相關英文單字或片語的差別與用法

1:Perfect number

用法:

在數學中,完美數是指那些等於其所有正因數之和的正整數。這些數字在數論中具有特殊的意義,並且與質數有密切的聯繫。最小的完美數是6,因為1、2和3的和等於6。其他的完美數包括28、496和8128。這些數字在數學研究中引起了廣泛的興趣,並且與數的性質和結構有著深刻的聯繫。

例句及翻譯:

例句 1:

6是最小的完美數。

6 is the smallest perfect number.

例句 2:

數學家對完美數的性質進行了深入的研究。

Mathematicians have conducted extensive research on the properties of perfect numbers.

例句 3:

完美數在數論中佔有重要地位。

Perfect numbers hold an important position in number theory.