雙葉雙曲面的意思、翻譯和例句

是什麼意思

「雙葉雙曲面」是一種數學和幾何中的曲面,通常被稱為雙曲面,具有兩個葉片的形狀。這種曲面可以用於描述一些物理現象和工程設計。它的數學方程式通常涉及二次方程,並且在三維空間中呈現出類似於沙漏或蝴蝶的形狀。雙葉雙曲面在建築、藝術和物理學中都有應用,特別是在結構設計和光學系統中。

依照不同程度的英文解釋

  1. A surface that looks like two leaves.
  2. A shape that curves in two directions.
  3. A surface with two parts that are similar.
  4. A geometric shape that has a saddle-like appearance.
  5. A surface that can be described mathematically and has two distinct sections.
  6. A type of surface in geometry that features two sheets extending infinitely.
  7. A mathematical surface characterized by its two-dimensional hyperbolic sections.
  8. A surface formed by the intersection of a hyperbola and a plane.
  9. A doubly ruled surface that can be generated by moving a straight line along two distinct paths.
  10. A complex surface in mathematics that has two separate lobes, often studied in advanced geometry.

相關英文單字或片語的差別與用法

1:Hyperboloid

用法:

一種特定的曲面,通常用於描述某些物理現象,例如光的反射和折射。它可以是單葉或雙葉,根據其方程式的形式而定。雙葉雙曲面是一種特定的雙葉超曲面,具有獨特的幾何特性。

例句及翻譯:

例句 1:

這個建築的設計靈感來自於雙葉超曲面。

The design of this building was inspired by a hyperboloid.

例句 2:

科學家們研究了雙葉超曲面在光學中的應用。

Scientists studied the applications of hyperboloids in optics.

例句 3:

雙葉超曲面的數學性質非常有趣。

The mathematical properties of hyperboloids are very interesting.

2:Double-Sheeted Hyperboloid

用法:

這是一種特定的雙葉雙曲面,具有兩個對稱的葉片。這種曲面在工程和建築設計中常被用作結構元素,因為它們能夠有效地分散壓力。

例句及翻譯:

例句 1:

工程師選擇使用雙葉雙曲面來增加結構的穩定性。

Engineers chose to use a double-sheeted hyperboloid to increase the stability of the structure.

例句 2:

雙葉雙曲面的設計提供了優雅的形狀和功能性。

The design of the double-sheeted hyperboloid offers both elegance and functionality.

例句 3:

在這個橋樑的設計中使用了雙葉雙曲面

The design of this bridge incorporates a double-sheeted hyperboloid.

3:Surface

用法:

在數學中,表面是指一個二維的幾何形狀,可以在三維空間中存在。雙葉雙曲面是一種特殊的表面,具有獨特的數學性質。

例句及翻譯:

例句 1:

數學家們對各種不同的表面進行研究。

Mathematicians study various types of surfaces.

例句 2:

這個模型展示了一個雙葉雙曲面的表面特性。

This model demonstrates the surface characteristics of a double-sheeted hyperboloid.

例句 3:

在幾何學中,表面是非常重要的概念。

Surfaces are a very important concept in geometry.

4:Geometry

用法:

幾何學是數學的一個分支,專注於形狀、大小、相對位置和空間性質。雙葉雙曲面是幾何學中一個重要的研究對象。

例句及翻譯:

例句 1:

幾何學的基本概念對於理解雙葉雙曲面非常重要。

Basic concepts of geometry are essential for understanding double-sheeted hyperboloids.

例句 2:

在幾何學課程中,我們學習了雙葉雙曲面的性質。

In geometry class, we learned about the properties of double-sheeted hyperboloids.

例句 3:

幾何學的發展使我們能夠更好地理解這些複雜的曲面。

The development of geometry allows us to better understand these complex surfaces.