Results 21 to 30 of about 108,393 (45)

Tangent cones, starshape and convexity

, 1978
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 4, Page 459-477, 1978.
J. M. Borwein
wiley   +1 more source

From abstract alpha-Ramsey theory to abstract ultra-Ramsey theory [PDF]

arXiv, 2016
We work within the framework of the Alpha-Theory introduced by Benci and Di Nasso. The Alpha-Theory postulates a few natural properties for an infinite "ideal" number $\alpha$. The formulation provides an elementary axiomatics for the methods of abstract ultra-Ramsey theory.
arxiv  

On a general theorem for additive Levy processes [PDF]

arXiv, 2007
We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.
arxiv  

Bicomplex Mergelyan's Approximation Theorem [PDF]

arXiv, 2022
In this paper we prove Area theorem, Biebarbach`s Theorem, Koebe Quarter Theorem and Mergelyan`s Approximation Theorem in the bicomplex framework.
arxiv  

A short note on the paper "Remarks on Caristi's fixed point theorem and Kirk's problem" [PDF]

arXiv, 2010
In this paper, we demonstrate that Li's fixed point theorems are indeed equivalent with the primitive Caristi's fixed point theorem, Jachymski's fixed point theorems, Feng and Liu's fixed point theorems, Khamsi's fixed point theorems and others.
arxiv  

Extended Generalized Flett's Mean Value Theorem [PDF]

arXiv, 2016
Various forms of Mean Value Theorems are available in the literature. If we use Flett's Mean Value Theorem in Extended Generalized Mean Value Theorem then what would the new theorem look like. A sincere effort is done to develop this theorem. This theorem is named as Extended Generalized Flett's Mean Value Theorem.
arxiv  

Fatou's interpolation theorem implies the Rudin-Carleson theorem [PDF]

arXiv, 2015
The purpose of this paper is to show that the Rudin-Carleson interpolation theorem is a direct corollary of Fatou's much older interpolation theorem (of 1906).
arxiv  

The closed graph theorem is the open mapping theorem [PDF]

arXiv, 2019
We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.
arxiv  

On Family Rigidity Theorems II [PDF]

arXiv, 1999
In LM, we proved a family version of the famous Witten rigidity theorems and several family vanishing theorems for elliptic genera. In this paper, we gerenalize our theorems LM in two directions. First we establish a family rigidity theorem for the Dirac operator on loop space twisted by general positive energy loop group representations.
arxiv  

A General Theorem for the Characterization of N Prime Numbers Simultaneously [PDF]

Published in Libertas Mathematica, University of Texas at Arlington, Vol. XI, 151-155, 1991, 2004
This article presents a necessary and sufficient theorem for N numbers, coprime two by two, to be prime simultaneously. It generalizes V. Popa's theorem, as well as I. Cucurezeanu's theorem, Clement's theorem, S. Patrizio's theorems, etc. Particularly, this General Theorem offers many characterizations for twin primes, for quadruple primes, and so on.
arxiv