spherical pair

简明释义

球面副

英英释义

例句

1.The mathematician demonstrated how to calculate the distance between a spherical pair of points on a sphere.

数学家演示了如何计算球面上 spherical pair 点之间的距离。

2.In geometry, a spherical pair refers to two points on the surface of a sphere that are directly opposite each other.

在几何学中，spherical pair 指的是球面上两个直接相对的点。

3.The concept of a spherical pair is essential when studying great circles on a sphere.

在研究球体上的大圆时，spherical pair 的概念是至关重要的。

4.When mapping the stars, astronomers often refer to a spherical pair of celestial bodies that are aligned.

在绘制星图时，天文学家经常提到一对对齐的天体，即 spherical pair 。

5.In physics, a spherical pair can describe two particles that are in equilibrium at opposite ends of a spherical field.

在物理学中，spherical pair 可以描述在球形场的两端处于平衡的两个粒子。

作文

In the realm of mathematics and physics, the concept of a spherical pair is quite significant. A spherical pair refers to two points on the surface of a sphere that are related in a specific manner, often used in discussions about geometry and spatial relationships. For instance, when considering the Earth as a sphere, the North and South Poles can be considered a spherical pair. This relationship is important in various fields such as navigation, astronomy, and even in the study of global climate patterns.Understanding the properties of a spherical pair helps in visualizing how different points on a sphere can interact with one another. For example, in spherical geometry, the distance between two points is not measured in straight lines but rather along the surface of the sphere. This concept is crucial for pilots and navigators who must calculate the shortest flight paths over the curved surface of the Earth.Moreover, the notion of a spherical pair extends beyond mere points on a sphere; it can also encompass the angles formed by lines connecting these points. In trigonometry, for instance, the angles and distances related to a spherical pair can be calculated using spherical coordinates. This mathematical approach allows for a more accurate representation of the globe in three-dimensional space.In practical applications, the idea of a spherical pair can be seen in technologies such as GPS systems. These systems rely on satellites that orbit the Earth, which can be thought of as forming spherical pairs with locations on the ground. By understanding the relationships between these points, GPS can provide precise location information to users around the world.Furthermore, in the field of computer graphics, the concept of a spherical pair is essential for rendering images of spherical objects. When creating a 3D model of a planet or any spherical object, artists and programmers utilize the principles of spherical pairs to ensure that textures and lighting are applied accurately across the surface. This ensures that the final product appears realistic and visually appealing.In conclusion, the term spherical pair encapsulates a fundamental concept in both mathematics and its applications in the real world. By exploring the relationships between points on a sphere, we gain insights into navigation, technology, and even art. Understanding spherical pairs not only enhances our comprehension of geometric principles but also enriches our ability to apply these concepts in various scientific and practical contexts. As we continue to explore the universe, the significance of spherical pairs will undoubtedly remain a vital part of our understanding of spatial relationships and geometrical structures.

在数学和物理的领域中，‘spherical pair’（球面对）的概念是相当重要的。‘spherical pair’指的是球面上两个以特定方式相关的点，常用于讨论几何和空间关系。例如，当考虑地球作为一个球体时，北极和南极可以被视为一个‘spherical pair’。这种关系在导航、天文学甚至全球气候模式的研究中都很重要。理解‘spherical pair’的属性有助于可视化球面上不同点之间的交互作用。例如，在球面几何中，两个点之间的距离不是通过直线测量的，而是沿着球面的表面进行测量。这一概念对于飞行员和导航员至关重要，他们必须计算穿越地球曲面最短的飞行路径。此外，‘spherical pair’的概念不仅仅局限于球面上的点；它还可以包括连接这些点的线所形成的角度。在三角学中，例如，与‘spherical pair’相关的角度和距离可以使用球坐标进行计算。这种数学方法使我们能够更准确地表示三维空间中的地球。在实际应用中，‘spherical pair’的想法可以在GPS系统等技术中看到。这些系统依赖于绕地球轨道运行的卫星，这些卫星可以被认为与地面上的位置形成‘spherical pairs’。通过理解这些点之间的关系，GPS可以为全球用户提供精确的位置定位信息。此外，在计算机图形学领域，‘spherical pair’的概念对于渲染球形物体的图像至关重要。当创建一个行星或任何球形物体的3D模型时，艺术家和程序员利用‘spherical pairs’的原理来确保纹理和光照在表面上准确应用。这确保了最终产品看起来真实且视觉上吸引人。总之，‘spherical pair’这个术语概括了数学及其在现实世界应用中的基本概念。通过探索球面上点之间的关系，我们获得了对导航、技术甚至艺术的洞察。理解‘spherical pairs’不仅增强了我们对几何原理的理解，同时也丰富了我们在各种科学和实际背景中应用这些概念的能力。随着我们继续探索宇宙，‘spherical pairs’的重要性无疑将继续成为我们理解空间关系和几何结构的重要部分。