Argand的意思、翻譯和例句

是什麼意思

「Argand」通常指的是「阿甘圖」或「阿甘平面」,這是一種用於表示複數的平面坐標系。它的橫軸表示實數部分,縱軸表示虛數部分。這種表示法由瑞士數學家阿甘(Jean-Robert Argand)於19世紀提出,對於複數的運算和可視化非常有用。

依照不同程度的英文解釋

  1. A way to show complex numbers on a graph.
  2. A graph with two axes for real and imaginary parts.
  3. A coordinate system for complex numbers.
  4. A way to represent numbers that have both real and imaginary parts.
  5. A method of visualizing complex numbers on a two-dimensional plane.
  6. A graphical representation of complex numbers, where the horizontal axis is real and the vertical axis is imaginary.
  7. A Cartesian coordinate system used for plotting complex numbers.
  8. A mathematical framework for visualizing and performing operations on complex numbers.
  9. A complex plane representation that facilitates the understanding of complex number arithmetic.
  10. A two-dimensional graphical representation of complex numbers, aiding in their analysis and manipulation.

相關英文單字或片語的差別與用法

1:Complex Plane

用法:

這是描述複數的一種方式,將實部和虛部分別放在兩個垂直的坐標軸上。這種圖形化的表示方式對於數學分析和理解複數的運算非常重要。

例句及翻譯:

例句 1:

在複數平面上,點 (3, 4) 代表實數 3 和虛數 4。

On the complex plane, the point (3, 4) represents the real number 3 and the imaginary number 4.

例句 2:

我們可以用複數平面來視覺化這些數字的運算。

We can use the complex plane to visualize the operations of these numbers.

例句 3:

在複數平面上,旋轉和縮放可以用來解釋複數的乘法。

On the complex plane, rotation and scaling can be used to explain the multiplication of complex numbers.

2:Argand Diagram

用法:

這是一種特定的圖形表示法,用於顯示複數的實部和虛部。它通常用於數學和工程學中,以幫助學生和專業人士理解複數的性質和運算。

例句及翻譯:

例句 1:

阿甘圖幫助學生理解複數的幾何意義。

The Argand diagram helps students understand the geometric meaning of complex numbers.

例句 2:

在阿甘圖中,複數的實部和虛部分別在不同的軸上表示。

In the Argand diagram, the real and imaginary parts of a complex number are represented on different axes.

例句 3:

使用阿甘圖,我們可以直觀地看到複數的加法和減法。

Using the Argand diagram, we can intuitively see the addition and subtraction of complex numbers.