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单词 Geodesic flow
释义

Geodesic flow

中文百科

测地线 Geodesic

(重定向自Geodesic flow)
3条测地线构成的球面三角形。在球面上,测地线是大圆。

测地线又称大地线短程线,数学上可视作直线在弯曲空间中的推广;在有度规定义存在之时,测地线可以定义为空间中两点的局域最短路径。测地线(geodesic)的名字来自对于地球尺寸与形状的大地测量学(geodesy)。

英语百科

Geodesic 测地线

(重定向自Geodesic flow)
A geodesic triangle on the sphere.
The geodesics are great circle arcs.

A geodesic on a triaxial ellipsoid.

In differential geometry, a geodesic (/ˌəˈdɛsɪk, ˌ-, -ˈd-, -zɪk/) is a generalization of the notion of a "straight line" to "curved spaces". The term "geodesic" comes from geodesy, the science of measuring the size and shape of Earth; in the original sense, a geodesic was the shortest route between two points on the Earth's surface, namely, a segment of a great circle. The term has been generalized to include measurements in much more general mathematical spaces; for example, in graph theory, one might consider a geodesic between two vertices/nodes of a graph.

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更新时间:2025/6/21 4:41:30