请输入您要查询的字词:

 

单词 AsymptoticDensity
释义

asymptotic density


Let A be a subset of +. For any n+ putA(n)={1,2,,n}A.

Define the upper asymptotic density d¯(A) of A by

d¯(A)=lim supn|A(n)|n

d¯(A) is also known simply as the upper density ofA.
Similarly, we define d¯(A), the lower asymptotic density ofA, by

d¯(A)=lim infn|A(n)|n

We say A has asymptotic density d(A) ifd¯(A)=d¯(A), in which case we putd(A)=d¯(A).

Titleasymptotic density
Canonical nameAsymptoticDensity
Date of creation2013-03-22 12:36:20
Last modified on2013-03-22 12:36:20
Ownermathcam (2727)
Last modified bymathcam (2727)
Numerical id7
Authormathcam (2727)
Entry typeDefinition
Classificationmsc 11B05
Synonymupper density
Synonymlower density
Synonymnatural density
Synonymarithmetic density
Related topicInequalityOfLogarithmicAndAsymptoticDensity
Definesupper asymptotic density
Defineslower asymptotic density
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 21:55:57