Difference between revisions of "User:Etmetalakret"
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| − | + | I write articles on introductory contest topics for my students' reference. | |
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== Nontrivial contributions == | == Nontrivial contributions == | ||
| − | Below is a list of my 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 === | ||
* [[Algebra/Intermediate]] | * [[Algebra/Intermediate]] | ||
| − | * | + | * Polynomials |
| − | ** [[Polynomial | + | ** [[Polynomial Remainder Theorem]], INCOMPLETE |
| − | ** [[Complex | + | ** [[Complex Conjugate Root Theorem]] |
** [[Rational root theorem]] | ** [[Rational root theorem]] | ||
** [[Vieta's formulas]] | ** [[Vieta's formulas]] | ||
| − | * | + | * Sequences and series |
** [[Arithmetic sequence]] | ** [[Arithmetic sequence]] | ||
** [[Geometric sequence]] | ** [[Geometric sequence]] | ||
** [[Harmonic 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 === | ||
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** [[Casework]] | ** [[Casework]] | ||
** [[Complementary counting]] | ** [[Complementary counting]] | ||
| − | ** [[Constructive counting]] | + | ** '''[[Constructive counting]]''' |
| + | * '''[[Pigeonhole principle]],''' my best article | ||
=== Geometry === | === Geometry === | ||
* [[Geometry/Olympiad]] | * [[Geometry/Olympiad]] | ||
* Synthetic geometry | * Synthetic geometry | ||
| − | ** | + | ** [[Incenter/excenter lemma]], my first article, a total unprofessional mess. |
* Trigonometry | * Trigonometry | ||
| − | ** [[Trigonometry]] | + | ** '''[[Trigonometry]]''', might have to tinker with the grammar though |
** [[Trigonometric identities]] | ** [[Trigonometric identities]] | ||
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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 this, my main priority is the | + | 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 === | === 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. | |
| − | * [[ | ||
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| − | * [[ | ||
* [[Orthic triangle]], please finish this James it looks terrible | * [[Orthic triangle]], please finish this James it looks terrible | ||
=== Examples and/or problems needed === | === Examples and/or problems needed === | ||
| − | * [[Geometric sequence]], | + | * [[Geometric sequence]], get some basic introductory examples |
* [[Polynomial remainder theorem]], needs another example | * [[Polynomial remainder theorem]], needs another example | ||
* [[Rational root theorem]], problems too easy | * [[Rational root theorem]], problems too easy | ||
| − | * [[Complex conjugate root theorem]], | + | * [[Complex conjugate root theorem]], one or two examples |
| − | * [[Vieta's formulas]], | + | * [[Vieta's formulas]], a few examples. |
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.
