User:Etmetalakret
Revision as of 13:02, 20 January 2023 by Etmetalakret (talk | contribs)
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
- Casework
- Complementary counting
- Constructive counting, my best article
- Pigeonhole principle, though I only added a proof and rewrote the introduction.
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 probably expected value, though maybe later I'll add more to the pigeonhole principle one.
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.
