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Revision as of 09:35, 17 March 2008
Adeel Khan is a freshman at the University of Maryland, Baltimore County. He intends to major in Mathematics and Applied Linguistics.
Contents
[hide]Nontrivial Contributions
Algebra
- Trivial inequality
- Completing the square
- Quadratic Equations
- Quadratic Formula
- Vieta's formulas
- Absolute value
Combinatorics
- Combinatorics
- Combinations
- Combinatorial identities
- Complementary counting
- Casework
- Overcounting
- Geometric probability
- Constructive counting
- Principle of Inclusion-Exclusion
- Correspondence
- Recursion
- Generating functions
Number Theory
- Number theory
- Relatively prime
- Simon's Favorite Factoring Trick
- Modular arithmetic
- Fermat's Little Theorem
- Euler's totient function
- Euler's Totient Theorem
- Carmichael function
- Wilson's Theorem