Results 191 to 200 of about 322,705 (229)

Convergence of discrete conformal geometry and computation of uniformization maps

Asian Journal of Mathematics, 2019
The classical uniformization theorem of Poincaré and Koebe states that any simply connected surface with a Riemannian metric is conformally diffeomorphic to the Riemann sphere, or the complex plane or the unit disk. Using the work by Gu-Luo-Sun-Wu [9] on
D. Gu, F. Luo, Tianqi Wu
semanticscholar   +1 more source

Bulk metric reconstruction from entanglement data via minimal surface area variations

Journal of High Energy Physics
We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions.
Niko Jokela, T. Liimatainen, Miika Sarkkinen, Leo Tzou   +3 more
semanticscholar   +1 more source

A PROPOSAL FOR TEACHING METRIC RELATIONS IN RIGHT TRIANGLES

Revista Multidisciplinar do Nordeste Mineiro
This work aims to present a way to teach the geometry content of metric relations in right triangles using a grid as a resource. The bibliographic references used were Silva & Barbosa (2022), who pointed out the causes of difficulty in this content ...
W. Filho, Fernando Roberto Braga Colares, Gustavo Nogueira Dias, Cássio Pinho dos Reis, G. Vogado, Saul Rodrigo da Costa Barreto, Alessandra Epifanio Rodrigues, Vanessa Mayara Souza Pamplona, Fernando Ramos de Farias   +8 more
semanticscholar   +1 more source

Geometry of the space of phylogenetic trees with non-identical leaves

Advances in Applied Mathematics
Phylogenetic trees summarize evolutionary relationships. The Billera-Holmes-Vogtmann (BHV) space for comparing phylogenetic trees has many elegant mathematical properties, but it does not encompass trees with differing leaf sets.
María A. Valdez-Cabrera, Amy D. Willis
semanticscholar   +1 more source

Mathematical Foundations of Radial Coherential Dynamics — Paper I: Coherent Fields, Adjacency Structure, and Pre-Metric Geometry

This work establishes the first mathematical foundations of Radial Coherential Dynamics (RCD) without presupposing spacetime geometry. Version 1.1 introduces the adjacency structure ∼, resolving the dimensional-collapse problem of v1.0 and allowing spatial structure to emerge independently of coherence. Starting from four primitives — a coherence field,
Cerezo, Arturo, AI Collaborative Panel
openaire   +1 more source

Neutrosophic Statistical Manifolds: A Unified Framework3 for Information Geometry with Uncertainty Quantification

European Journal of Pure and Applied Mathematics
This paper introduces the novel concept of Fractional-Order Neutrosophic MR-Metric Spaces (FoNMR-MS), which synergistically combines three powerful mathematical frameworks: MR-metric spaces, neutrosophic logic, and fractional calculus.
Abed Al-Rahman M. Malkawi, A. Rabaiah
semanticscholar   +1 more source

John Stillwell*Reverse Mathematics: Proofs from the Inside Out

, 2020
Reverse mathematics is a programme in mathematical logic, initiated in the mid-1970s, which seeks to determine which axioms are necessary to prove theorems in areas of ordinary mathematics such as real analysis, countable abstract algebra, countably ...
Benedict Eastaugh
semanticscholar   +1 more source

A Metric for Heterotic Moduli

, 2016
Heterotic vacua of string theory are realised, at large radius, by a compact threefold with vanishing first Chern class together with a choice of stable holomorphic vector bundle. These form a wide class of potentially realistic four-dimensional vacua of
P. Candelas, Xenia de la Ossa, J. McOrist   +2 more
semanticscholar   +1 more source

The Universal ℓp-Metric on Merge Trees

International Symposium on Computational Geometry, 2022
R. Cardona, J. Curry, Tung Lam, M. Lesnick   +3 more
semanticscholar   +1 more source