Some remarks on a new pseudo-differential metric

Some remarks on metric space QQ(R)

QQ(R) (abbreviated as Q) is the space of unordered Q points in R introduced by Almgren [AF]. In this paper, we first show that the space Q with metric G is non-negatively curved in the sense of Alexandrov. We also discuss some issues like metric tangent cone and exponential map. In the second part, we define the signature of points in Q, give a decomposition of this metric space according to th...

Some remarks about metric spaces

Of course various kinds of metric spaces arise in various contexts and are viewed in various ways. In this brief survey we hope to give some modest indications of this. In particular, we shall try to describe some basic examples which can be of interest. For the record, by a metric space we mean a nonempty set M together with a distance function d(x, y), which is a real-valued function on M ×M ...

Some Remarks on Linear Differential Systems*

Some Remarks on the Differential Transform Method

The differential transform method and Herrera’s complex integral method are shown to be related through the Taylor-Cauchy transform, which appears as a genuine fore-runner of both methods. A short discussion of this result is provided. Mathematics Subject Classification: 34A05, 34A25, 34A30, 34A34, 35C10

Some Remarks concerning D – Metric Spaces

In this note we make some remarks concerning D–metric spaces, and present some examples which show that many of the basic claims concerning the topological structure of such spaces are incorrect, thus nullifying many of the results claimed for these spaces.