# User:Etmetalakret

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.