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词汇 Parabolic cylindrical coordinates
分类 英语词汇 英语翻译词典
释义

Parabolic cylindrical coordinates

中文百科

抛物柱面坐标系

抛物柱面坐标系是一种三维正交坐标系。往 z-轴方向延伸二维的抛物线坐标系 ，则可得到抛物柱面坐标系。其坐标曲面是共焦的抛物柱面。抛物柱面坐标可以应用于许多物理问题。例如，物体边缘的位势论。

英语百科

Parabolic cylindrical coordinates 抛物柱面坐标系

Coordinate surfaces of parabolic cylindrical coordinates. The red parabolic cylinder corresponds to σ=2, whereas the yellow parabolic cylinder corresponds to τ=1. The blue plane corresponds to z=2. These surfaces intersect at the point P (shown as a black sphere), which has Cartesian coordinates roughly (2, -1.5, 2).
Parabolic coordinate system showing curves of constant σ and τ the horizontal and vertical axes are the x and y coordinates respectively. These coordinates are projected along the z-axis, and so this diagram will hold for any value of the z coordinate.

In mathematics, parabolic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional parabolic coordinate system in the perpendicular z-direction. Hence, the coordinate surfaces are confocal parabolic cylinders. Parabolic cylindrical coordinates have found many applications, e.g., the potential theory of edges.
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