请输入您要查询的字词:

 

单词 SchnirelmannDensity
释义

Schnirelmann density


Let A be a subset of , and let A(n) be number of elements of A in [1,n]. of A is

σA=infnA(n)n.

has the following properties:

  1. 1.

    A(n)nσA for all n.

  2. 2.

    σA=1 if and only if A

  3. 3.

    if 1 does not belong to A, then σA=0.

Schnirelmann proved that if 0AB then

σ(A+B)σA+σB-σAσB

and also if σA+σB1, then σ(A+B)=1. From these he deduced that if σA>0 then A is an additive basis.

TitleSchnirelmann densityMathworldPlanetmath
Canonical nameSchnirelmannDensity
Date of creation2013-03-22 13:19:36
Last modified on2013-03-22 13:19:36
Ownerbbukh (348)
Last modified bybbukh (348)
Numerical id9
Authorbbukh (348)
Entry typeDefinition
Classificationmsc 11B13
Classificationmsc 11B05
SynonymShnirel’man density
SynonymShnirelman density
Related topicBasis2
Related topicEssentialComponent
Related topicMannsTheorem
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 6:37:17