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Geodesics on an ellipsoid (blue) from a single point (for flattening f = 1⁄10, latitude φ1 = −30°) form a segment of a circle of latitude; geodesic circles are shown in green and the cut locus in red.
In differential geometry, the cut locus of a point p on a manifold is the closure of the set of all other points on the manifold that are connected to p by two or more distinct shortest geodesics.[1] More generally, the cut locus of a closed set X on the manifold is the closure of the set of all other points on the manifold connected to X by two or more distinct shortest geodesics.
^"Cut locus". Encyclopedia of Mathematics. Retrieved February 18, 2024.
In differential geometry, the cutlocus of a point p on a manifold is the closure of the set of all other points on the manifold that are connected to...
line is the cutlocus, the locus of points which have multiple (two in this case) shortest geodesics from A. On a sphere, the cutlocus is a point. On...
(considered equivalent), the sphere becomes a model of real projective space. Cutlocus Chisholm, Hugh, ed. (1911). "Antipodes" . Encyclopædia Britannica. Vol...
medial axis is known as the cutlocus. In 2D, the medial axis of a subset S which is bounded by planar curve C is the locus of the centers of circles that...
2015 Hugo Award for his novel The Three-Body Problem as well as the 2017 Locus Award for Death's End. He is also a winner of the Chinese Nebula Award....
direction of Shiing-Shen Chern. His dissertation was entitled "The cutlocus and conjugate locus of a Riemannian manifold". Weinstein worked then at MIT on 1967...
with non-positive sectional curvature, there are no conjugate points. Cutlocus Jacobi field Aurora § Conjugate auroras Operation Argus § USS Albemarle...
is always true of Riemannian globally symmetric spaces of rank 1.) The cutlocus of any point p is equal to a hyperplane CPn−1. This is also the set of...
obtained by cutting the polyhedron along the cutlocus of a point on the surface of the polyhedron. The cutlocus of a point p {\displaystyle p} consists of...
The Locus Index to Science Fiction: 1984–1998. Locus. Brown, Charles N.; Contento, William G. (2001). The Locus Index to Science Fiction: 2000. Locus. Brown...
encoded by HLA-DPA1 locus β-chain encoded by HLA-DPB1 locus HLA-DQ α-chain encoded by HLA-DQA1 locus β-chain encoded by HLA-DQB1 locus HLA-DR α-chain encoded...
and a trilogy of young adult novels. His novel Half a King won the 2015 Locus Award for best young adult book. Abercrombie was born in Lancaster, Lancashire...
(October 1987). "Transformation of sensory organs by Mutations of the cutlocus of D. melanogaster". Cell. 51 (2): 293–307. doi:10.1016/0092-8674(87)90156-5...
Locus Biosciences is a clinical-stage pharmaceutical company, founded in 2015 and based in Research Triangle Park, North Carolina. Locus develops phage...
and The Spear Cuts Through Water. Jimenez's works have received critical praise, with his debut novel being nominated for the 2021 Locus Award for Best...
Cuts Through Water by Simon Jimenez". Locus. Retrieved 20 Sep 2022. Noah Fram (30 Aug 2022). "Review: "The Spear Cuts Through Water" by Simon Jimenez". Book...
combined works of Berger, Kazdan, Weinstein (for even n), and Yang (odd n). Cutlocus (Riemannian manifold) Berger, Marcel (1978). "Blaschke's Conjecture for...
active MAT locus. The repair of the MAT locus after cutting by the HO endonuclease almost always results in a mating type switch. When an a cell cuts the MATa...
Martin. It was first published on August 6, 1996. The novel won the 1997 Locus Award and was nominated for both the 1997 Nebula Award and the 1997 World...
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