A Probability on Heuristic Subset of  Integer Numbers that it is a Metric Space Cover Image

A Probability on Heuristic Subset of Integer Numbers that it is a Metric Space
A Probability on Heuristic Subset of Integer Numbers that it is a Metric Space

Author(s): Reza Farhadian
Subject(s): Economy, Accounting - Business Administration
Published by: Editura Universitară Danubius
Keywords: probability; metric space; paracompact space; random integers;

Summary/Abstract: In this work we will answer to the question, is there a probability space on a set such that it is a metric space? To answer this question, we prove that the probability that two random positive integers given from a heuristic set defined in this article are relatively prime, is a metric space. Hence, there is a probability that it is a metric. Also, we show that this probability space is a paracompact space.

  • Issue Year: 13/2017
  • Issue No: 3
  • Page Range: 201-205
  • Page Count: 5
  • Language: English