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* [[De_Morgans_law_part_1|De Morgan's Law for Three Sets Part 1]] | * [[De_Morgans_law_part_1|De Morgan's Law for Three Sets Part 1]] | ||
* [[De_Morgans_law_part_2|De Morgan's Law for Three Sets Part 2]] | * [[De_Morgans_law_part_2|De Morgan's Law for Three Sets Part 2]] | ||
| + | * [[empty_set_contained_in_every_set|Empty Set Subset of All]] | ||
* [[intersection_with_empty_set_mh|Intersection with the Empty Set]] | * [[intersection_with_empty_set_mh|Intersection with the Empty Set]] | ||
* [[Intersection_with_universal_set_mh|Intersection with the Universal Set]] | * [[Intersection_with_universal_set_mh|Intersection with the Universal Set]] | ||
Revision as of 06:13, 6 October 2013
This is a collection of proofs that I have used in my work elsewhere.
- Linearity of Expectation
- Linear Combinations of Gaussian Random Variables
- Moment Generating Functions of Linear Combinations of Random Variables
- Variance of a Linear Combination of Random Variables
Set Operations
- Associativity of Union
- Commutativity of Intersection of Two Sets
- Commutativity of Union of Two Sets
- De Morgan's Law for Three Sets Part 1
- De Morgan's Law for Three Sets Part 2
- Empty Set Subset of All
- Intersection with the Empty Set
- Intersection with the Universal Set
- Distributive Property of Intersection over Union
- Distributive Property of Union over Intersection
- Subset Relationships of Unions and Intersection
- Union with the Empty Set
