geodesics in English

noun
1
a geodesic line or structure.
It possesses shortest lines, now called geodesics , which resemble ordinary straight lines.

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Below are sample sentences containing the word "geodesics" from the English Dictionary. We can refer to these sentence patterns for sentences in case of finding sample sentences with the word "geodesics", or refer to the context using the word "geodesics" in the English Dictionary.

1. Other geodesics are governed by Clairaut's relation.

2. The properties of geodesics differ from those of straight lines.

3. The explicit calculation of normal coordinates can be accomplished by considering the differential equation satisfied by geodesics.

4. These forces deflect all bodies resting on the Earth's surface from the geodesics they would otherwise follow.

5. Bicuspidal Geodesics on Punctured Hyperbolic Surfaces - FYP Final Talk Author: Ang Yan Sheng Created Date: 5/9/2019 9:16:08 PM

6. If the particle is subject to forces, F ≠ 0, the particle accelerates due to forces acting on it, and deviates away from the geodesics it would follow if free.

7. In particular, when M is a (pseudo-)Riemannian manifold and ∇ is the Levi-Civita connection, then the affine geodesic are the usual geodesics of Riemannian geometry and are the locally distance minimizing curves.

8. In such coordinates the covariant derivative reduces to a partial derivative (at p only), and the geodesics through p are locally linear functions of t (the affine parameter).

9. Affine connections may also be used to define (affine) geodesics on a manifold, generalizing the straight lines of Euclidean space, although the geometry of those straight lines can be very different from usual Euclidean geometry; the main differences are encapsulated in the curvature of the connection.

10. Closeness takes one or more graphs (dat) and returns the Closeness centralities of positions (selected by nodes) within the graphs indicated by g.Depending on the specified mode, Closeness on directed or undirected geodesics will be returned; this function is compatible with centralization, and will return the