Related papers: Protometrics

This is an expository article on the techniques of quantization as they are applied to Gromov-Witten theory and related areas.

We obtain several new characterizations of ultrametric spaces in terms of roundness, generalized roundness, strict p-negative type, and p-polygonal equalities (p > 0). This allows new insight into the isometric embedding of ultrametric…

In this paper we try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should to have.

In this talk, some aspects of duality symmetries are presented.

The theory of matroids has been generalized to oriented matroids and, recently, to arithmetic matroids. We want to give a definition of "oriented arithmetic matroid" and prove some properties like the "uniqueness of orientation".

Metric spaces are a fundamental component of mathematics and have a paramount importance as a framework for measuring distance. They can be found in many different branches of mathematics, such as analysis and topology. This paper offers an…

A quick overview is provided on the current development of the WP metric geometry.

A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.

This note establishes several integral identities relating certain metric properties of level hypersurfaces of Morse functions.

The differential geometric aspects of Geometric Phases are reviewed.

In this paper, we introduce the concept of f-ideals and discuss its algebraic properties. In particular, we give the characterization of all the f-ideals of degree 2.

The usual concept of shape invariance is discussed and one extension of this concept is suggested.

This paper is an introduction to soft cone metric spaces. We define the concept of soft cone metric via soft element, investigate soft converges in soft cone metric spaces and prove some fixed point theorems for contractive mappings on soft…

Some symmetry problems are formulated and solved. New simple proofs are given for the earlier studied symmetry problems.

This chapter provides a tutorial overview of first principles methods to describe the properties of matter at the ground state or equilibrium. It begins with a brief introduction to quantum and statistical mechanics for predicting the…

In this manuscript, we provide a concise review of the concept of metric dimension for both deterministic as well as random graphs. Algorithms to approximate this quantity, as well as potential applications, are also reviewed. This work has…

We introduce polyhedral cones associated with $m$-hemimetrics on $n$ points, and, in particular, with $m$-hemimetrics coming from partitions of an $n$-set into $m+1$ blocks. We compute generators and facets of the cones for small values of…

We introduce the concept of multiplication matrices for ideals of projective dimension zero. We discuss various applications and in particular, we give a new algorithm to compute the variety of an ideal of projective dimension zero.

In this paper we investigate the monomial ideals which satisfy the copersistence property or nearly copersistence property.

In this note, we discuss a number of parametricity features and what their requirements are in terms of complexity of the type system and its model.