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...

line is the cut locus, the locus of points which have multiple (two in this case) shortest geodesics from A. On a sphere, the cut locus is a point. On...

Person, Lawrence (September 17, 2016). "Donnie Darko: The Director's Cut". Locus. Oakland, California. ISSN 0047-4959. OCLC 610386221. Archived from the...

(considered equivalent), the sphere becomes a model of real projective space. Cut locus Chisholm, Hugh, ed. (1911). "Antipodes" . Encyclopædia Britannica. Vol...

medial axis is known as the cut locus. 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...

in K, see also totally convex. Cotangent bundle Covariant derivative Cut locus Diameter of a metric space is the supremum of distances between pairs...

subdivide the faces of every convex polyhedron (for instance along a cut locus) so that the set of subdivided faces has a net. In 2014 Mohammad Ghomi...

parabolic mirror parallel to its axis is reflected through the focus. Cut locus (Riemannian manifold) Last geometric statement of Jacobi Nephroid caustic...

with non-positive sectional curvature, there are no conjugate points. Cut locus Jacobi field Aurora § Conjugate auroras Operation Argus § USS Albemarle...

direction of Shiing-Shen Chern. His dissertation was entitled "The cut locus and conjugate locus of a Riemannian manifold". Weinstein worked then at MIT on 1967...

is always true of Riemannian globally symmetric spaces of rank 1.) The cut locus of any point p is equal to a hyperplane CPn−1. This is also the set of...

diffeomorphically via expp is called the injectivity radius of M at p. The cut locus of the exponential map is, roughly speaking, the set of all points where...

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....

to the boundary S2, and these identify antipodal points – this is the cut locus. The 3-ball with this identification of the boundary is P3(R). A similar...

obtained by cutting the polyhedron along the cut locus of a point on the surface of the polyhedron. The cut locus of a point p {\displaystyle p} consists of...

{\mathfrak {so}}} (3) to SO(3) is not a local diffeomorphism; see also cut locus on this failure. See derivative of the exponential map for more information...

contributions were in the area of Differential Geometry dealing with the Cut Locus characterizing it as the closure of a set, where the shortest geodesics...

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...

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...

christopher-mckitterick.com. Retrieved December 7, 2021. "2015 Locus Awards Winners". Locus Online. June 27, 2015. Archived from the original on June 12...

(October 1987). "Transformation of sensory organs by Mutations of the cut locus of D. melanogaster". Cell. 51 (2): 293–307. doi:10.1016/0092-8674(87)90156-5...

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...

Locus Biosciences is a clinical-stage pharmaceutical company, founded in 2015 and based in Research Triangle Park, North Carolina. Locus develops phage...

combined works of Berger, Kazdan, Weinstein (for even n), and Yang (odd n). Cut locus (Riemannian manifold) Berger, Marcel (1978). "Blaschke's Conjecture for...

the cut is a local operation). When a complex manifold X {\displaystyle X} is blown up along a submanifold Z {\displaystyle Z} , the blow up locus Z {\displaystyle...

base has its apex on a small circle, called Lexell's circle or Lexell's locus, passing through each of the two points antipodal to the two base vertices...

only if the base locus is empty. The notion of the base locus still makes sense for a non-complete linear system as well: the base locus of it is still...

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...

In France, the decision was made to cut the novel into four separate volumes. A Storm of Swords won the 2001 Locus Award, the 2002 Geffen Award for Best...