ON SYSTEMS OF INDEPENDENT SETS

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F15%3A86096417" target="_blank" >RIV/61989100:27240/15:86096417 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.degruyter.com/view/j/ms.2015.65.issue-1/issue-files/ms.2015.65.issue-1.xml" target="_blank" >http://www.degruyter.com/view/j/ms.2015.65.issue-1/issue-files/ms.2015.65.issue-1.xml</a>

DOI - Digital Object Identifier

—

Jazyk výsledku

angličtina

Název v původním jazyce

ON SYSTEMS OF INDEPENDENT SETS

Popis výsledku v původním jazyce

The classical probability that a randomly chosen number from the set {n is an element of N : n {= n(0)} belongs to a set A subset of N can be approximated for large number n(0) by the asymptotic density of the set A. We say that the events are independent if the probability of their intersection is equal to the product of their probabilities. By analogy we define the independence of sets. We say that the sets are independent if the asymptotic density of their intersection is equal to the product of their asymptotic densities. In the article is described a generalisation of one of the criteria of independence of sets and one interesting case in which sets are not independent. (C) 2015 Mathematical Institute Slovak Academy of Sciences

Název v anglickém jazyce

ON SYSTEMS OF INDEPENDENT SETS

Popis výsledku anglicky

The classical probability that a randomly chosen number from the set {n is an element of N : n {= n(0)} belongs to a set A subset of N can be approximated for large number n(0) by the asymptotic density of the set A. We say that the events are independent if the probability of their intersection is equal to the product of their probabilities. By analogy we define the independence of sets. We say that the sets are independent if the asymptotic density of their intersection is equal to the product of their asymptotic densities. In the article is described a generalisation of one of the criteria of independence of sets and one interesting case in which sets are not independent. (C) 2015 Mathematical Institute Slovak Academy of Sciences

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Mathematica Slovaca

ISSN

0139-9918

e-ISSN

—

Svazek periodika

65

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

12

Strana od-do

33-44

Kód UT WoS článku

000355583100004

EID výsledku v databázi Scopus

—