请输入您要查询的字词:

 

单词 ComparisonOfFilters
释义

comparison of filters


Let 𝔽1 and 𝔽2 be two filters on the same set. The following terminology is commonly used to describe the relation of 𝔽1 to 𝔽2:

𝔽2 is said to be finer than 𝔽1 if 𝔽1𝔽2.

𝔽2 is said to be coarser than 𝔽1 if 𝔽1𝔽2.

𝔽2 is said to be strictly finer than 𝔽1 if 𝔽1𝔽2.

𝔽2 is said to be strictly coarser than 𝔽1 if 𝔽1𝔽2.

𝔽1 and 𝔽2 are said to be comparable if either 𝔽1𝔽2 or 𝔽1𝔽2.

Titlecomparison of filters
Canonical nameComparisonOfFilters
Date of creation2013-03-22 14:41:38
Last modified on2013-03-22 14:41:38
Ownerrspuzio (6075)
Last modified byrspuzio (6075)
Numerical id5
Authorrspuzio (6075)
Entry typeDefinition
Classificationmsc 54A99
Classificationmsc 03E99
Definesfiner
Definescoarser
Definesstrictly finer
Definesstrictly coarser
Definescomparable
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:2025/5/5 0:34:57