Difference between revisions of "User:Chess64"
(→Combinatorics) |
|||
(13 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
== Nontrivial Contributions == | == Nontrivial Contributions == | ||
Line 18: | Line 8: | ||
* [[Quadratic Formula]] | * [[Quadratic Formula]] | ||
* [[Vieta's formulas]] | * [[Vieta's formulas]] | ||
+ | * [[Absolute value]] | ||
=== Combinatorics === | === Combinatorics === | ||
Line 23: | Line 14: | ||
* [[Combinatorics]] | * [[Combinatorics]] | ||
* [[Combinations]] | * [[Combinations]] | ||
+ | * [[Combinatorial identities]] | ||
+ | * [[Complementary counting]] | ||
* [[Casework]] | * [[Casework]] | ||
* [[Overcounting]] | * [[Overcounting]] | ||
Line 28: | Line 21: | ||
* [[Constructive counting]] | * [[Constructive counting]] | ||
* [[Principle of Inclusion-Exclusion]] | * [[Principle of Inclusion-Exclusion]] | ||
+ | * [[Correspondence]] | ||
+ | * [[Recursion]] | ||
+ | * [[Generating functions]] | ||
=== Number Theory === | === Number Theory === | ||
Line 38: | Line 34: | ||
* [[Euler's totient function]] | * [[Euler's totient function]] | ||
* [[Euler's Totient Theorem]] | * [[Euler's Totient Theorem]] | ||
+ | * [[Carmichael function]] | ||
* [[Wilson's Theorem]] | * [[Wilson's Theorem]] | ||
+ | * [[Euclid's proof of the infinitude of primes]] | ||
=== Proof Techniques === | === Proof Techniques === | ||
Line 44: | Line 42: | ||
* [[Proof by contradiction]] | * [[Proof by contradiction]] | ||
* [[Pigeonhole Principle]] | * [[Pigeonhole Principle]] | ||
+ | |||
+ | === Olympiads === | ||
+ | |||
+ | ==== Canada (CMO) ==== | ||
+ | |||
+ | * [[Canadian Mathematical Olympiad]] | ||
=== Miscellaneous === | === Miscellaneous === | ||
Line 49: | Line 53: | ||
* [[Brute forcing]] | * [[Brute forcing]] | ||
* [[LaTeX]] | * [[LaTeX]] | ||
+ | * [[LaTeX:Layout]] |
Latest revision as of 23:37, 20 July 2008
Contents
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
- Euclid's proof of the infinitude of primes