| Line 10: | Line 10: | ||
* [[ECE600_F13_set_theory_review_proof2_mhossain|Commutativity of Intersection of Two Sets]] | * [[ECE600_F13_set_theory_review_proof2_mhossain|Commutativity of Intersection of Two Sets]] | ||
* [[ECE600_F13_set_theory_review_proof1_mhossain|Commutativity of Union of Two Sets]] | * [[ECE600_F13_set_theory_review_proof1_mhossain|Commutativity of Union of Two Sets]] | ||
| + | * [[Complement_of_complement_mh|Complement of Complement]] | ||
* [[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]] | ||
Revision as of 08:08, 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
- Complement of Complement
- 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
