Related papers: Protometrics

We define a property sub-representability and we give a complete characterisation of sub-representability of posets.

An introductory review, suitable for the beginning student of high-energy physics or professionals from other fields who may desire familiarity with subatomic-particle detection techniques. Subatomic-particle fundamentals and the basics of…

We prove mean comparison from a different perspective, where we introduce the concept of partial convolution.

We discuss some aspects of the theory of subelliptic estimates.

In the present article, real number representations, that are generalizations of classical positive and alternating representations of numbers, are introduced and investigated. The main metric relation, properties of cylinder sets are…

Functions whose composition with every metric is a metric are said to be metric-preserving. In this article, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.

A review is given of some mathematical contributions, ideas and questions concerning liquid crystals.

Here we look at (collections of) semimetrics and seminorms, including their ultrametric versions. In particular, we are concerned with geometric properties related to connectedness and topological dimension 0.

We describe the fundamental constructions and properties of determinantal probability measures and point processes, giving streamlined proofs. We illustrate these with some important examples. We pose several general questions and…

We give an introduction to the theory of initial ideals and initial algebras with emphasis on the transfer of structural properties.

We describe some Cartesian products of metric spaces and find conditions under which products of ultrametric spaces are ultrametric.

We gather material from many sources about the quantum potential and its geometric nature. The presentation is primarily expository but some new observations relating Q, V, and psi are indicated.

In this paper the concept of a partial cone metric space is investigated, some continuity type theorems, and fixed point theorems of contractive mappings in this generalized setting are proved as well as some theorems related to topological…

We characterize monomial ideals which are intersections of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.

A brief review of the Standard Model of particle physics is presented.

In this paper, we introduce round and sleek topological spaces and study their properties.

Our goal is to provide a survey of some topics in quasiconformal analysis of current interest. We try to emphasize ideas and leave proofs and technicalities aside. Several easily stated open problems are given. Most of the results are joint…

This primer is intended as an introduction to differential forms, a central object in modern mathematical physics, for scientists and engineers.

This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.

In this paper, we mainly focus on formal deformation theory of module homomorphisms. We first introduce the cohomology of module homomorphisms and study formal one-parameter deformation. We obtain some properties about obstructions. Then we…