METRIC SPACES AND APPLICATIONS OF METRIC

Author Name: 1. Saima Firdaus Mohammed Yaseen 2. Smt. Shubhada Joshi

Volume/Issue: 02/10

Country: India

DOI NO.: 08.2020-25662434 DOI Link: https://www.doi-ds.org/doilink/04.2022-71569864/UIJIR

Affiliation:

  1. Assistant Professor, Department of Mathematics, Mahilaratna Pushpatai Hiray Mahila, Mahavidyalaya, Malegaon Camp,Nashik, Maharashtra, India
  1. Associate Professor, HOD, Department of Mathematics, Mahilaratana Pushpataihiray Mahila, Mahavidyalaya Malegaon camp, Nashik, Maharashtra, India

ABSTRACT

Study of metric space is closely related to topology or topological space. In this paper we study the definition of metric, metric space and some examples. Also we learn how the metric is used to define the open set and closed set in metric space. This paper also explore some applications of metric in transport, air transport, machine learning and computer science.

Key words: Metric, Metric space, open set, closed set, metric learning, deep metric learning etc

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