# geodesic

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Related to geodesic: Geodesic distance, Geodesic sphere

## geodesic

1. relating to or involving the geometry of curved surfaces
2. the shortest line between two points on a curved or plane surface
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## geodesic

[¦jē·ə¦des·ik]
(mathematics)
A curve joining two points in a Riemannian manifold which has minimum length.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## geodesic

Great circle is the shortest distance between two points.
The shortest distance between two points on any surface. The shortest distance between two places on earth derived mathematically is called a geodetic line.
References in periodicals archive ?
By utilizing Geodesic Capital's extensive network, the division will promote open innovations with startup companies.
Gusic, On the error term in the prime geodesic theorem, Bull.
In the 4-dimensional space-time, though the geodesic length does not equal the area of the minimal surface, it has been shown that both the geodesic length and area of the minimal surface, which are dual to the two point correlation function and entanglement entropy respectively, are nonlocal probes and have the same effect as they are used to probe the thermalization behavior and phase transition process [23-40].
Finally using containing relation of the geodesic balls, we can prove Theorem 1, as required.
Suppose that [DELTA] is a geodesic triangle in (X, d) and [bar.[DELTA]] is a comparison triangle for [DELTA].
The first characteristic is geodesic distance and path that means the shortest distance and path between two vertices on the mesh surface.
The most fundamental examples of geodesic spaces are normed vector spaces, complete Riemannian manifolds, and polyhedral complexes of piecewise constant curvature.
In line with other shortest-path centrality indices, our index is based on geodesic as well.
Roos, Founding Partner of Geodesic Capital commented, "During my time as Ambassador, I traveled all over Japan talking about the importance of innovation and entrepreneurship to Japan's economy.
The ascending aorta is then segmented by the geodesic distance algorithm in VOI over the axial slices.
The bottle features a rendering of the World's Fair's geodesic dome etched in gold leaf.

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