Difference between revisions of "User:Etmetalakret"
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** [[Complementary counting]] | ** [[Complementary counting]] | ||
** '''[[Constructive counting]]''' | ** '''[[Constructive counting]]''' | ||
| − | * '''[[Pigeonhole principle]],''' | + | * '''[[Pigeonhole principle]],''' my best article |
=== Geometry === | === Geometry === | ||
Revision as of 13:13, 21 January 2023
I write articles on introductory contest topics for my students' reference.
Contents
Nontrivial contributions
Below is a list of my nontrivial contributions. Although there are many articles I've tidied up, these are the ones I either created or rewrote entirely. My best articles have been bolded because I wanna express my pride haha.
Algebra
- Algebra/Intermediate
- Polynomials
- Sequences and series
- Inequalities
- Proofs of AM-GM, rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
Combinatorics
- Combinatorics/Introduction
- Counting methods
- Pigeonhole principle, my best article
Geometry
- Geometry/Olympiad
- Synthetic geometry
- Incenter/excenter lemma, my first article, a total unprofessional mess.
- Trigonometry
- Trigonometry, might have to tinker with the grammar though
- Trigonometric identities
Number theory
- Nothing major yet.
Miscellaneous
On the agenda
These are articles that I hope to clean up sooner or later. At the time of writing this, my main priority is the pigeonhole principle.
Major edits needed
- AM-GM Inequality, working on it inconsistently
- Cauchy-Schwarz inequality, which wanders off to higher math without ever brushing on competition applications
- RMS-AM-GM-HM Inequality, the actual name of this article has to be a joke
- Arithmetico-geometric series, should be titled "sequence", also a little messy.
- Orthic triangle, please finish this James it looks terrible
Examples and/or problems needed
- Geometric sequence, get some basic introductory examples
- Polynomial remainder theorem, needs another example
- Rational root theorem, problems too easy
- Complex conjugate root theorem, one or two examples
- Vieta's formulas, a few examples.
