馬鞍曲面的意思、翻譯和例句

是什麼意思

「馬鞍曲面」是一種特殊的曲面,其形狀類似於馬鞍,具有一個方向的凹陷和另一個方向的凸起。這種曲面在數學和幾何中非常重要,特別是在研究曲面和多維空間的性質時。馬鞍曲面是雙曲面的一種,通常用來描述某些物理現象或在工程設計中。

依照不同程度的英文解釋

  1. A surface that curves down in one direction and up in another.
  2. A shape like a saddle that has both high and low points.
  3. A surface that looks like a horse saddle, with one part going down and another going up.
  4. A type of surface that has a saddle shape, often used in mathematics.
  5. A surface that has both a peak and a valley, resembling a saddle.
  6. A surface characterized by negative Gaussian curvature, often found in mathematical contexts.
  7. A surface that exhibits both concave and convex properties, essential in differential geometry.
  8. A surface with a hyperbolic structure, significant in various fields of mathematics and physics.
  9. A non-developable surface with distinct curvature properties, extensively studied in geometry.
  10. A surface that has both upward and downward curvatures, important in various scientific applications.

相關英文單字或片語的差別與用法

1:Saddle surface

用法:

這是一種常見的描述馬鞍曲面的術語,通常用於數學和物理學中。它指的是具有馬鞍形狀的曲面,並且具有獨特的幾何特性。這種曲面可以在多種應用中找到,包括工程設計和建築結構。

例句及翻譯:

例句 1:

這個設計使用了馬鞍曲面來增強結構的穩定性。

This design uses a saddle surface to enhance the stability of the structure.

例句 2:

數學家研究了馬鞍曲面的性質。

Mathematicians study the properties of saddle surfaces.

例句 3:

在這個模型中,馬鞍曲面提供了理想的支撐。

In this model, the saddle surface provides ideal support.

2:Hyperbolic paraboloid

用法:

這是一種特定的數學曲面,具有馬鞍形狀,並且在計算機圖形學和建築設計中經常使用。它的特性使其在各種工程應用中非常有用。

例句及翻譯:

例句 1:

這座建築的屋頂採用了雙曲抛物面設計。

The roof of this building features a hyperbolic paraboloid design.

例句 2:

數學課上,我們學習了雙曲抛物面的方程。

In math class, we learned the equations of hyperbolic paraboloids.

例句 3:

雙曲抛物面在結構工程中提供了強度和美觀。

Hyperbolic paraboloids provide strength and aesthetics in structural engineering.

3:Saddle-shaped surface

用法:

這是一種描述馬鞍曲面的通用術語,通常用於形容那些具有凹凸特徵的曲面。這種術語在物理學和幾何學中都很常見。

例句及翻譯:

例句 1:

這個模型的設計是基於馬鞍形曲面。

The design of this model is based on a saddle-shaped surface.

例句 2:

馬鞍形曲面在數學中有很多應用。

Saddle-shaped surfaces have many applications in mathematics.

例句 3:

他們使用馬鞍形曲面來創造這個雕塑的外觀。

They used a saddle-shaped surface to create the appearance of this sculpture.