| Line 12: | Line 12: | ||
* De Morgan's Law for Three Sets Part 1 | * De Morgan's Law for Three Sets Part 1 | ||
* De Morgan's Law for Three Sets Part 2 | * De Morgan's Law for Three Sets Part 2 | ||
| + | * [[intersection_with_empty_set_mh|Intersection with the Empty Set]] | ||
* [[ECE600_F13_set_theory_review_proof5_mhossain|Distributive Property of Intersection over Union]] | * [[ECE600_F13_set_theory_review_proof5_mhossain|Distributive Property of Intersection over Union]] | ||
* [[ECE600_F13_set_theory_review_proof56_mhossain|Distributive Property of Union over Intersection]] | * [[ECE600_F13_set_theory_review_proof56_mhossain|Distributive Property of Union over Intersection]] | ||
* [[union_and_intersection_subsets_mh|Subset Relationships of Unions and Intersection]] | * [[union_and_intersection_subsets_mh|Subset Relationships of Unions and Intersection]] | ||
| + | * [[union_with_empty_set_mh|Union with the Empty Set]] | ||
Revision as of 10:17, 5 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
- Intersection with the Empty Set
- Distributive Property of Intersection over Union
- Distributive Property of Union over Intersection
- Subset Relationships of Unions and Intersection
- Union with the Empty Set
