# Difference between revisions of "User:Etmetalakret"

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− | + | I write articles on introductory contest topics for my students' reference. | |

== Nontrivial contributions == | == Nontrivial contributions == | ||

− | Below is a list of | + | 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 === | ||

− | * | + | * [[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 === | ||

− | * [[Combinatorics/Introduction]] | + | * [[Combinatorics/Introduction]] |

− | * [[Casework]] | + | * Counting methods |

− | * [[Complementary counting]] | + | ** [[Casework]] |

− | * [[Constructive counting]] | + | ** [[Complementary counting]] |

+ | ** '''[[Constructive counting]]''' | ||

+ | * '''[[Pigeonhole principle]],''' my best article | ||

=== Geometry === | === Geometry === | ||

* [[Geometry/Olympiad]] | * [[Geometry/Olympiad]] | ||

− | * [[Incenter/excenter lemma]] | + | * 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 === | === Number theory === | ||

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== On the agenda == | == On the agenda == | ||

− | These are articles that I hope to clean up sooner or later. At the time of writing, my main priority is the article [[ | + | 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. | |

− | * [[ |

## Latest revision as of 14:13, 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.