自戀數的意思、翻譯和例句

是什麼意思

「自戀數」是數學中的一個概念,指的是一種特殊的數字,當將這個數字的每個數位的幾次方相加後,結果等於這個數字本身。這樣的數字也被稱為「阿姆斯壯數」或「自戀數」。例如,153 是一個自戀數,因為 1^3 + 5^3 + 3^3 = 153。自戀數通常與數學的數位運算有關,並且在數論中有其特定的應用和研究。

依照不同程度的英文解釋

  1. A special number that equals the sum of its digits raised to a power.
  2. A number that can be split into parts, and when you do math with those parts, it equals the original number.
  3. A number that is equal to the sum of its digits each raised to a certain power.
  4. A number that can be expressed as the sum of its digits raised to the power of the number of digits.
  5. A number that remains unchanged when each of its digits is raised to the power of the total number of digits.
  6. An integer that is equal to the sum of its own digits each raised to the power of the number of digits.
  7. A number that satisfies the property of being equal to the sum of its digits raised to the exponent of the number of digits.
  8. A number that can be expressed as the sum of its digits, each raised to the power corresponding to the total count of its digits.
  9. A number that is invariant under a transformation where each digit is raised to a power equal to the total number of digits.
  10. A number that can be represented as the sum of its digits, with each digit raised to the power of the total number of digits.

相關英文單字或片語的差別與用法

1:Armstrong number

用法:

這是一種數學術語,與自戀數相同,用來描述一種特定的數字性質。這個術語通常在數學和計算機科學中使用,特別是在探討數字的性質和數論時。

例句及翻譯:

例句 1:

153 是一個阿姆斯壯數,因為 1^3 + 5^3 + 3^3 = 153。

153 is an Armstrong number because 1^3 + 5^3 + 3^3 = 153.

例句 2:

在數學課上,我們學習了阿姆斯壯數的定義和例子。

In math class, we learned the definition and examples of Armstrong numbers.

例句 3:

所有的自戀數都是阿姆斯壯數,但不是所有的阿姆斯壯數都是自戀數

All narcissistic numbers are Armstrong numbers, but not all Armstrong numbers are narcissistic numbers.

2:Narcissistic number

用法:

這個詞與自戀數同義,指的是一種特定的數字,其特性與阿姆斯壯數相同,通常在數學和計算領域中被提及。

例句及翻譯:

例句 1:

一位數的自戀數包括 0 到 9 的所有數字。

The narcissistic numbers for single digits are all the numbers from 0 to 9.

例句 2:

在數學中,自戀數的概念幫助我們理解數字的性質。

The concept of narcissistic numbers helps us understand the properties of numbers in mathematics.

例句 3:

自戀數的例子包括 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 和 153。

Examples of narcissistic numbers include 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 153.

3:Pluperfect number

用法:

這個術語在數學中不太常見,但在某些文獻中可能會被用來描述自戀數的性質。

例句及翻譯:

例句 1:

在某些數學文獻中,可能會看到自戀數被稱為完全過去數。

In some mathematical literature, narcissistic numbers may be referred to as pluperfect numbers.

例句 2:

這個術語不如自戀數和阿姆斯壯數常用。

This term is not as commonly used as narcissistic number or Armstrong number.

例句 3:

完全過去數的定義與自戀數相同。

The definition of pluperfect numbers is the same as that of narcissistic numbers.