Related papers: Protometrics
We develop a random model for relation algebras. We prove some preliminary results and pose questions that lay out a new direction of research.
In the first part of this investigation, [Ha], we generalized a weighted distance function of [Li] and found necessary and sufficient conditions for it being a metric. In this paper some properties of this so-called M-relative metric are…
Plots of quadratic residues display some features that are analyzed mathematically.
We describe the basic notions of co-induction as they are available in the coq system. As an application, we describe arithmetic properties for simple representations of real numbers.
This article gives a conceptual introduction to the topos approach to the formulation of physical theories.
We investigate ideal-semisimple and congruence-semisimple semirings. We give several new characterizations of such semirings using e-projective and e-injective semimodules. We extend several characterizations of semisimple rings to (not…
A modest aim of this pedagogical presentation is to analyze, critically, certain fundamental physical concepts to illustrate the physical principles behind the special theory of relativity and, hence, to also illustrate the limitations of…
In this short article we present some properties regarding the order and the type of an entire function.
We give a first-order definition of key polynomials, we show the links with previous definitions, that it is relevant to study key degrees, and to use a kind of valuations that we call partially multiplicative. We also prove or reprove…
A review of envisaged future quark transversity measurements is presented.
We explore boundedness properties in the context of metric measure spaces, of some natural operators of convolution type whose study is suggested by certain transformations used in computer vision.
We introduce numerical characteristics of Sylvester and Hadamard matrices and give their estimates and some of their applications.
We present an introductory survey to first order logic for metric structures and its applications to C*-algebras.
We formulate quantum theory taking as a starting point the cone of states.
In a recent article we have introduced Friedmann thermodynamics, where certain geometric parameters in Friedmann models are treated like their thermodynamic counterparts (temperature, entropy, Gibbs potential etc.). This model has the…
The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the structural properties of the functions classes so obtained are…
Some basic geometric properties of doubly twisted product immersions are established.
A brief review of some selected topics in p-adic mathematical physics is presented.
In this paper we introduce the concept of generalized vector groupoid. Several properties of them are established.
A concise introduction to the Standard Model of fundamental particle interactions is presented.