Difference between revisions of "User:Etmetalakret"

Latest revision as of 14:09, 12 July 2024

Former editor of the AoPS Wiki. Now an Algebraic Geometer in training :)

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 are in bold to express personal satisfaction.

Algebra

Algebra/Intermediate
Polynomials
- Polynomial Remainder Theorem, INCOMPLETE
- Complex Conjugate Root Theorem
- Rational root theorem
- Vieta's formulas
Sequences and series
Inequalities
- Proofs of AM-GM, rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
- AM-GM Inequality
- Cauchy-Schwarz Inequality, very dissatisfied with this.

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

Divisibility, though I don't intend to finish this article.

Miscellaneous

2020 IMO Problems

On the agenda

Right now, I'm most interested in tidying up Geometry articles.

Major edits needed

Centroid
Incenter
Circumcenter
Orthocenter
Orthic triangle. WOW, this article looks terrible.

@@ Line 1: / Line 1: @@
-is haooe inc
+Former editor of the AoPS Wiki. Now an Algebraic Geometer in training :)
-== DONT INCEASE THE NUNMBER ==
-do NOT increase this number under any circumstances please don't its literally and um tis like you can't
-<center><font size="100px">0</font></center>
-DO NOT I inqure and jest and beg and please and do not don't don't please
 == Nontrivial contributions ==
-Below is a list of my contributions that I consider nontrivial. Although there are many articles I've tidied up, these are the ones I either created or rewrote entirely.
+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 are in '''bold''' to express personal satisfaction.
 === Algebra ===
 * [[Algebra/Intermediate]]
 * Polynomials
-** [[Polynomial remainder theorem]], INCOMPLETE
+** [[Polynomial Remainder Theorem]], INCOMPLETE
 ** [[Complex Conjugate Root Theorem]]
 ** [[Rational root theorem]]
@@ Line 23: / Line 16: @@
 ** [[Harmonic sequence]]
 * Inequalities
-** [[Proofs of AM-GM]], rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
+** '''[[Proofs of AM-GM]]''', rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
+** [[AM-GM Inequality]]
+** [[Cauchy-Schwarz Inequality]], very dissatisfied with this.
 === Combinatorics ===
@@ Line 30: / Line 25: @@
 ** [[Casework]]
 ** [[Complementary counting]]
-** [[Constructive counting]]
+** '''[[Constructive counting]]'''
+* '''[[Pigeonhole principle]],''' my best article
 === Geometry ===
@@ Line 37: / Line 33: @@
 ** [[Incenter/excenter lemma]], my first article, a total unprofessional mess.
 *  Trigonometry
-** [[Trigonometry]]
+** '''[[Trigonometry]]''', might have to tinker with the grammar though
 ** [[Trigonometric identities]]
 === Number theory ===
-* Nothing major yet.
+* [[Divisibility]], though I don't intend to finish this article.
 === Miscellaneous ===
@@ Line 47: / Line 43: @@
 == 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 article [[AM-GM Inequality]] (which will take me a long time).
+Right now, I'm most interested in tidying up Geometry articles.
 === Major edits needed ===
-* [[Arithmetic mean-geometric mean inequality]], should be renamed
+* [[Centroid]]
-* [[Cauchy-Schwarz inequality]]
+* [[Incenter]]
-* [[RMS-AM-GM-HM]], the actual name of this article has to be a joke.
+* [[Circumcenter]]
-* [[Arithmetico-geometric series]], should be titled sequence, is somewhat messy.
+* [[Orthocenter]]
-* [[Exponential function]], starts with <math>e^x</math> and not general exponential functions. This is good for Wikipedia, which
+* [[Orthic triangle]]. WOW, this article looks terrible.
-covers higher math, but not for a competition math wiki
-* [[Logarithm]]
-* [[Overcounting]], I completely reworked this article but my device died when I hit submit
-* [[Counting]], include a kind of overview of all elementary counting topics
-* [[Orthic triangle]], please finish this James it looks terrible
-=== Examples and/or problems needed ===
-* [[Geometric sequence]], needs plain problems
-* [[Polynomial remainder theorem]], needs another example
-* [[Rational root theorem]], problems too easy
-* [[Complex conjugate root theorem]], needs examples
-* [[Vieta's formulas]], needs examples
-== Philosophy ==
-The biggest dilemma I've encountered is on ''assuming the level of the reader'': should an article start from ground zero, introduce the reader to the topic, and slowly build up with a lot of examples, or should it assume some familiarity, skip the reasoning and list some formulas and proofs, leaving the heavy-duty stuff to the examples?
-Well, I think it should depend on:
-* How much the topic is covered in schools,
-* How essential the topic is in competition math, and
-* How new its content might be to an unfamiliar reader.
-For example, [[harmonic sequences]] — most of their problems can be solved without even knowing of their existence (by reading it as reciprocals of an arithmetic sequence), so it's not a very new subject. The article should thus be brief and only list genuinely useful facts.
-Another example, [[arithmetic sequence | arithmetic]] and [[geometric sequences]]; these topics are already a major topic in school, so a lot of resources already exist out there that introduce readers to the topic. It would be best, then, for the article to only cover proofs and examples that are absent from the standard curriculum.
-On the contrary, [[constructive counting]] is not mentioned in high school classes, highly essential to all counting problems, and would be very unfamiliar to a new reader; then the article really should build from the ground up and be more thorough, even if it ends up in a very long article.
-Generally, I leave the appropriate amount of detail up to right before I start writing it. If you have any comments or critiques, leave a message on my discussion page and I'd love to offer feedback.

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