Difference between revisions of "User:Etmetalakret"

(Added a philosophy section, which lists some thoughts I've been having on writing effective articles.)
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is haooe inc
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I write articles on introductory contest topics for my students' reference.
 
 
== 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 ==
 
== 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.
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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
 
* Polynomials
** [[Polynomial remainder theorem]], INCOMPLETE
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** [[Polynomial Remainder Theorem]], INCOMPLETE
 
** [[Complex Conjugate Root Theorem]]
 
** [[Complex Conjugate Root Theorem]]
 
** [[Rational root theorem]]
 
** [[Rational root theorem]]
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** [[Harmonic sequence]]
 
** [[Harmonic sequence]]
 
* Inequalities
 
* Inequalities
** [[Proofs of AM-GM]], rewrote the Cauchy Induction proof to be more accessible, even if it uses more words
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** '''[[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]]
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** '''[[Constructive counting]]'''
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* '''[[Pigeonhole principle]],''' my best article
  
 
=== Geometry ===
 
=== Geometry ===
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** [[Incenter/excenter lemma]], my first article, a total unprofessional mess.
 
** [[Incenter/excenter lemma]], my first article, a total unprofessional mess.
 
*  Trigonometry
 
*  Trigonometry
** [[Trigonometry]]
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** '''[[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 article [[AM-GM Inequality]] (which will take me a long time).
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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 ===
* [[Arithmetic mean-geometric mean inequality]], should be renamed
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* [[AM-GM Inequality]], working on it inconsistently
* [[Cauchy-Schwarz inequality]]
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* [[Cauchy-Schwarz inequality]], which wanders off to higher math without ever brushing on competition applications
* [[RMS-AM-GM-HM]], the actual name of this article has to be a joke.
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* [[RMS-AM-GM-HM Inequality]], the actual name of this article has to be a joke
* [[Arithmetico-geometric series]], should be titled sequence, is somewhat messy.
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* [[Arithmetico-geometric series]], should be titled "sequence", also a little messy.
* [[Exponential function]], starts with <math>e^x</math> and not general exponential functions. This is good for Wikipedia, which
 
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
 
* [[Orthic triangle]], please finish this James it looks terrible
  
 
=== Examples and/or problems needed ===
 
=== Examples and/or problems needed ===
* [[Geometric sequence]], needs plain problems
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* [[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]], needs examples
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* [[Complex conjugate root theorem]], one or two examples
* [[Vieta's formulas]], needs examples
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* [[Vieta's formulas]], a few 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 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 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 in my discussion page and I'd love to offer feedback.
 

Revision as of 14:13, 21 January 2023

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

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

Combinatorics

Geometry

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

Examples and/or problems needed