On Four Approaches to Density

Auteur: Milan Pastéka
Taal: Engels
On Four Approaches to Density
Auteur: Milan Pastéka
Uitgever: Peter Lang Ag
  • Engels
  • Hardcover
  • 9783631649411
  • Druk: New edition
  • juni 2014
  • 97 pagina's
Alle productspecificaties

Samenvatting

The aim of this short book is to present the elements of a systematic theory of certain types of finitely additive probability measures on a set of positive integers. The conventional name of this measures is density with an adjective. Every set of positive integers is finite or infinite countable. It is, thus, impossible to consider a sigma additive probability measure defined on a certain class of the sets of positive integers, which could distinguish between the finite and infinite sets of positive integers. The greatness of the first is negligible. From the point of view of cardinality, the second has the same greatness. If we want to consider the measure of greatness, which could divide the sets of positive integers from a certain aspect of their structure, it is more convenient to consider the finitely additive measure. We shall study four most known types of these set functions. One of the important rules in the set of positive integers is played by the relation to divisibility, thus our main attention is devoted to the connection between density and this relation. We try to derive some known results from the basic definitions.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Druk
New edition
Verschijningsdatum
2014-06-13
Afmetingen
23,5 x 16,5 x 1,3 cm
Aantal pagina's
97 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Milan Pastéka
Redacteur
Milan Pastéka
Uitgever
Peter Lang Ag

EAN

EAN
9783631649411

Overige kenmerken

Extra groot lettertype
Nee
NUR code
918
Oorspronkelijke releasedatum
2014-06-13
Thema Subject Code
PB

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