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词汇 Spheroidal coordinates
分类 英语词汇 英语翻译词典
释义

Spheroidal coordinates

中文百科

坐标系 Coordinate system

(重定向自Spheroidal coordinates)
平面的笛卡儿座标系
平面上的极座标系

坐标系是数学或物理学用语,定义如下:

对于一个n维系统,能够使每一个点和一组(n个)标量构成一一对应的系统。

坐标系可以用一个有序多元组表示一个点的位置。一般常用的坐标系,各维坐标的数字均为实数,但在高等数学中坐标的数字可能是复数,甚至是或是其他抽象代数中的元素(如交换环)。坐标系可以使几何学的问题转换为数字的问题,反之亦然,是解析几何学的基础。

描述地理位置时所用的经度及纬度就是坐标系统的一种。在物理学中,描述一系统在空间中运动的参考坐标系统则称作参考系。

英语百科

Coordinate system 坐标系

(重定向自Spheroidal coordinates)
The spherical coordinate system is commonly used in physics. It assigns three numbers (known as coordinates) to every point in Euclidean space: radial distance r, polar angle θ (theta), and azimuthal angle φ (phi). The symbol ρ (rho) is often used instead of r.
The Cartesian coordinate system in the plane.
Coordinate surfaces in the Spherical coordinate system
The simplest example of a coordinate system is the identification of points on a line with real numbers using the number line. In this system, an arbitrary point O (the origin) is chosen on a given line. The coordinate of a point P is defined as the signed distance from O to P, where the signed distance is the distance taken as positive or negative depending on which side of the line P lies. Each point is given a unique coordinate and each real number is the coordinate of a unique point.

Cartesian coordinate system

The prototypical example of a coordinate system is the Cartesian coordinate system. In the plane, two perpendicular lines are chosen and the coordinates of a point are taken to be the signed distances to the lines.

In three dimensions, three perpendicular planes are chosen and the three coordinates of a point are the signed distances to each of the planes. This can be generalized to create n coordinates for any point in n-dimensional Euclidean space.

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