Open AccessSome Aspects of Distancing
Author(s) -
Dimiter Skordev
Publication year - 2022
Publication title -
dokladi na bʺlgarskata akademiâ na naukite
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.244
H-Index - 17
eISSN - 2367-5535
pISSN - 1310-1331
DOI - 10.7546/crabs.2022.01.01
Subject(s) - cardinality (data modeling) , mathematics , natural number , bounded function , metric space , space (punctuation) , function (biology) , combinatorics , metric (unit) , finite set , real number , discrete mathematics , computer science , mathematical analysis , operations management , evolutionary biology , biology , economics , data mining , operating system
For any metric space, two binary relations are considered: the one consisting of all ordered pairs of a positive real number and a natural number such that some finite subset of the space has cardinality equal to the second number and the distance between any two distinct elements of this subset is not less than the first number, and another defined similarly, but with “greater” instead of “not less”. If the space is totally bounded, then a partial function from natural numbers to positive reals and two functions in the inverse direction can be reasonably defined by using the relations in question. The study of these functions has been initiated by other authors, and it is continued in the paper.