Journal of Formalized Mathematics
Volume 2, 1990
University of Bialystok
Copyright (c) 1990
Association of Mizar Users
Metrics in Cartesian Product

Stanislawa Kanas

Technical Univercity of Rzeszow

Jan Stankiewicz

Technical University of Rzeszow
Summary.

A continuation of paper [6]. It deals with the method
of creation of the distance in the Cartesian product of metric
spaces. The distance of two points belonging to Cartesian product of metric
spaces has been defined as sum of distances of appropriate coordinates
(or projections) of these points. It is shown that product
of metric spaces with such a distance is a metric space.
Supported by RPBP.III24.B3.
The terminology and notation used in this paper have been
introduced in the following articles
[7]
[4]
[10]
[9]
[5]
[2]
[3]
[1]
[6]
[8]
Contents (PDF format)
Bibliography
 [1]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [5]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Stanislawa Kanas, Adam Lecko, and Mariusz Startek.
Metric spaces.
Journal of Formalized Mathematics,
2, 1990.
 [7]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [8]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Andrzej Trybulec.
Subsets of real numbers.
Journal of Formalized Mathematics,
Addenda, 2003.
 [10]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
Received September 27, 1990
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