實數集合的意思、翻譯和例句

是什麼意思

「實數集合」是數學中一個基本的概念,指的是包含所有實數的集合。這包括所有有理數(如整數和分數)以及所有無理數(如平方根和圓周率等)。實數集合通常用符號 R 表示,並且在數學分析、代數和幾何等領域中有廣泛的應用。

依照不同程度的英文解釋

  1. A group of numbers that includes all the regular numbers.
  2. All numbers that can be found on a number line.
  3. The collection of all numbers that can be used in calculations.
  4. A set that includes both fractions and whole numbers.
  5. A category of numbers that includes both rational and irrational numbers.
  6. A comprehensive set that encompasses all numbers that can be represented on a continuous line.
  7. The complete set of numbers that can be used in mathematics, including decimals and roots.
  8. A mathematical set that includes all possible values that can be represented as points on a line.
  9. The set of all numbers that can be expressed in decimal form, including both rational and irrational numbers.
  10. A mathematical concept that represents all numbers that can be expressed in decimal notation, including both finite and infinite decimals.

相關英文單字或片語的差別與用法

1:Real Number Set

用法:

這個術語用於數學中,特別是在數學分析和代數中,表示所有實數的集合。它包括正數、負數、零、有理數和無理數。實數集合在數學理論中是非常重要的,因為它包含了所有可以在數字線上找到的數字。

例句及翻譯:

例句 1:

實數集合包括所有可以在數字線上找到的數字。

The real number set includes all the numbers that can be found on the number line.

例句 2:

在數學上,實數集合是非常重要的概念。

In mathematics, the real number set is a very important concept.

例句 3:

我們在學習代數時經常使用實數集合

We often use the real number set when learning algebra.

2:Set of Real Numbers

用法:

這是指所有實數的集合,通常用符號 R 表示。在數學中,這個集合的特性和結構是分析和研究的基礎,特別是在微積分和數學分析中。實數集合的定義包括了所有可以用十進制表示的數字,無論是有限的還是無限的。

例句及翻譯:

例句 1:

數學家使用實數集合來進行各種計算。

Mathematicians use the set of real numbers for various calculations.

例句 2:

這個集合包含所有整數、分數和無理數。

This set contains all integers, fractions, and irrational numbers.

例句 3:

在數學分析中,實數集合是基礎的概念之一。

In mathematical analysis, the set of real numbers is one of the fundamental concepts.