“Independence Complement Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Independence Complement Theorem

释义

Independence Complement Theorem

If sets and are Independent, then so are and , where is the complement of (i.e., the set ofall possible outcomes not contained in ). Let denote ``or'' and denote ``and.'' Then

			(1)
			(2)

where

is an abbreviation for

. But

and

are independent, so

(3)

Also, since

and

are complements, they contain no common elements, whichmeans that

(4)

for any

. Plugging (4) and (3) into (2) then gives

(5)

Rearranging,

(6)

Q.E.D.

See also Independent Statistics

随便看

数学辞典收录了8975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。