Complement Set
المؤلف:
Croft, H. T.; Falconer, K. J.; and Guy, R. K
المصدر:
Unsolved Problems in Geometry. New York: Springer-Verlag
الجزء والصفحة:
p. 2
11-1-2022
1494
Complement Set
Given a set 
with a subset 
, the complement (denoted 
or 
) of 
with respect to 
is defined as
 |
(1)
|
Using set difference notation, the complement is defined by
 |
(2)
|
If 
, then
 |
(3)
|
where 
is the empty set. The complement is implemented in the Wolfram Language as Complement[l, l1, ...].
Given a single set, the second probability axiom gives
 |
(4)
|
Using the fact that 
,
 |
(5)
|
 |
(6)
|
This demonstrates that
 |
(7)
|
Given two sets,
REFERENCES:
Croft, H. T.; Falconer, K. J.; and Guy, R. K. Unsolved Problems in Geometry. New York: Springer-Verlag, p. 2, 1991.
الاكثر قراءة في نظرية المجموعات
اخر الاخبار
اخبار العتبة العباسية المقدسة
