Difference between revisions of "User:Chess64"

(Miscellaneous)
 
(16 intermediate revisions by the same user not shown)
Line 1: Line 1:
== Biography ==
 
 
I'm not very smart, but I try to learn from my peers at AoPS. I have never really done well in a major math competition yet, and I have just finished grade nine. I have started to work intensely on olympiad level math in order to have a better chance of achieving my ambitious goals for the [[USAMO]] in 2007.
 
 
I'm also very involved with my religion. I'm a Muslim -- but not just any Muslim; I'm a member of the [http://www.alislam.org Ahmadiyya Muslim Community], which is greatly [http://www.thepersecution.org persecuted] by mainstream Muslims. This is because we have accepted [http://alislam.org/library/messiah.html Mirza Ghulam Ahmad] as the Promised Messiah and Reformer. Mainstream Muslims claim since the Holy Qur'an states that Prophet Muhammad (peace be on him) was the "Seal of the Prophets", there can be no prophets after him. But why would God cease to send revelations to His creation? "Seal of the Prophets" means that Prophet Muhammad was the last prophet to bring a new law to the people. Reformers, like Hadhrat Mirza Ghulam Ahmad, can still come.
 
 
== Website ==
 
 
[http://mathideas.org Mathematical Ideas]
 
 
 
== 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]]
 +
* [[Overcounting]]
 +
* [[Geometric probability]]
 +
* [[Constructive counting]]
 
* [[Principle of Inclusion-Exclusion]]
 
* [[Principle of Inclusion-Exclusion]]
 +
* [[Correspondence]]
 +
* [[Recursion]]
 +
* [[Generating functions]]
  
 
=== Number Theory ===
 
=== Number Theory ===
Line 34: 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 40: Line 42:
 
* [[Proof by contradiction]]
 
* [[Proof by contradiction]]
 
* [[Pigeonhole Principle]]
 
* [[Pigeonhole Principle]]
 +
 +
=== Olympiads ===
 +
 +
==== Canada (CMO) ====
 +
 +
* [[Canadian Mathematical Olympiad]]
  
 
=== Miscellaneous ===
 
=== Miscellaneous ===
Line 45: Line 53:
 
* [[Brute forcing]]
 
* [[Brute forcing]]
 
* [[LaTeX]]
 
* [[LaTeX]]
 +
* [[LaTeX:Layout]]

Latest revision as of 23:37, 20 July 2008