ℝ的意思、翻譯和例句

是什麼意思

「ℝ」是數學中用來表示實數集的符號。實數包括所有有理數(如整數、分數)和無理數(如根號2、π等)。在數學分析和代數中,實數集是非常重要的概念,因為它包含了所有可以在數線上找到的數字。

依照不同程度的英文解釋

  1. The set of all numbers you can find on a number line.
  2. All numbers that can be used in calculations.
  3. Numbers that include both fractions and whole numbers.
  4. Includes all the numbers that can be represented without imaginary parts.
  5. The complete set of numbers that can be expressed as a decimal.
  6. A mathematical set that includes both rational and irrational numbers.
  7. A comprehensive collection of numbers used in real-world calculations.
  8. A mathematical representation of all possible quantities on a continuous line.
  9. A foundational concept in mathematics encompassing all numbers that can be expressed in decimal form.
  10. The entirety of numbers that can be plotted on a continuous number line, encompassing all rational and irrational values.

相關英文單字或片語的差別與用法

1:Real Numbers

用法:

指的是所有可以在數線上找到的數字,包括整數、分數和無理數。這是一個廣泛的概念,在數學中經常使用。實數在計算、測量和許多科學領域中都非常重要。

例句及翻譯:

例句 1:

所有的整數都是實數。

All integers are real numbers.

例句 2:

根號2是一個無理數,但它也是實數。

The square root of 2 is an irrational number, but it is also a real number.

例句 3:

在數學課上,我們學習了如何處理實數。

In math class, we learned how to work with real numbers.

2:Number Set

用法:

在數學中,數集指的是一組特定的數字,這些數字可以根據某些規則或特徵進行分類。實數集是數學中最常見的數集之一,因為它包括了所有的數字。

例句及翻譯:

例句 1:

實數集是數學中最重要的數集之一。

The set of real numbers is one of the most important sets in mathematics.

例句 2:

我們學習了不同的數集,包括整數集和有理數集。

We studied different number sets, including the set of integers and the set of rational numbers.

例句 3:

在數學中,數集的概念對於理解數字之間的關係非常重要。

In mathematics, the concept of number sets is crucial for understanding the relationships between numbers.

3:Continuous Numbers

用法:

這個術語通常用於描述可以在數線上連續排列的數字,這包括所有的實數。連續數字的概念在微積分和數學分析中非常重要。

例句及翻譯:

例句 1:

連續數字的概念對於微積分的學習至關重要。

The concept of continuous numbers is crucial for learning calculus.

例句 2:

數線上的每一點都代表一個連續數字。

Every point on the number line represents a continuous number.

例句 3:

在物理學中,我們經常使用連續數字來進行計算。

In physics, we often use continuous numbers for calculations.