User:Chess64

Hello. I am a sophomore from Maryland. I want to qualify for Blue MOP this year.

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Mathematical Ideas

Nontrivial Contributions

Algebra

• Trivial inequality
• Completing the square
• Quadratic Equations
• Quadratic Formula
• Vieta's formulas

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
• Wilson's Theorem

Proof Techniques

• Proof by contradiction
• Pigeonhole Principle

Miscellaneous

• Brute forcing
• LaTeX