Results 81 to 90 of about 1,153 (175)

Symmetry Breaking: One-Point Theorem

open access: yes
Symmetry breaking is crucial in many areas of physics, mathematics, biology, and engineering. We investigate the symmetry of regular convex polygons, non-convex regular polygons (stars), and symmetric Jordan curves/domains. We demonstrate that removing a
Edward Bormashenko
core   +1 more source

1. FIRST AND LAST POINT OF A CURVE

open access: yes, 2008
Summary. The proof of the Jordan Curve Theorem according to [11] is continued. The notions of the first and last point of a oriented arc are introduced as well as ordering of points on a curve in E 2 ...
Adam Grabowski
core  

Ordered geometry in Hilbert’s Grundlagen der Geometrie [PDF]

open access: yes, 2015
The Grundlagen der Geometrie brought Euclid’s ancient axioms up to the standards of modern logic, anticipating a completely mechanical verification of their theorems.
Scott, Phil
core  

El teorema de Jordan y los grados planares

open access: yes, 2016
En este trabajo estudiamos el teorema de la curva de Jordan, con énfasis especial en algunos aspectos relacionados con la Teoría de Grafos, más exactamente con la planaridad.
Dan Porras Rhee, Jaime
core  

Jordan curves in the digital plane

open access: yes, 2014
We discuss certain interrelated pretopologies on the digital plane Z2 including the Khalimsky topology and several other topologies on Z2. We present a digital analogue of the Jordan curve theorem for each of the pretopologies to demonstrate that they ...
Nur Munawwarah
core  

Groupoids, the Phragmen-Brouwer Property and the Jordan Curve Theorem

open access: yes, 2006
We publicise a proof of the Jordan Curve Theorem which relates it to the Phragmen-Brouwer Property, and whose proof uses the van Kampen theorem for the fundamental groupoid on a set of base points.
openaire   +3 more sources

JKO schemes with general transport costs. [PDF]

open access: yesCalc Var Partial Differ Equ
Rankin C, Wong TL.
europepmc   +1 more source

Hirota, Fay and geometry. [PDF]

open access: yesLett Math Phys
Eynard B, Oukassi S.
europepmc   +1 more source

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