User:Etmetalakret

As I go around the Wiki, rewriting some aging articles about subjects I'm just learning, I know they serve as much to me as they do to you. I write notes on the Wiki so that both myself and other people (particularly those who haven't bought AoPS textbooks) can learn and study from my pages.

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
  • Polynomial Remainder Theorem, INCOMPLETE
  • Complex Conjugate Root Theorem
  • Rational root theorem
  • Vieta's formulas
• Sequences and series
  • Arithmetic sequence
  • Geometric sequence
  • Harmonic sequence
• 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

• 2020 IMO Problems

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.