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Difference between revisions of "User:Etmetalakret"

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I'm James Pagan, that WikiOgre math major at NYU. I use the AoPS Wiki to write notes and lesson plans — my articles benefit my audience as much as myself.
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== DONT INCEASE THE NUNMBER ==
 
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do NOT increase this number under any circumstances please don't its literally and um tis like you can't
 
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<center><font size="100px">0</font></center>
 
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DO NOT I inqure and jest and beg and please and do not don't don't please
 
  
 
== Nontrivial contributions ==
 
== Nontrivial contributions ==
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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 are in '''bold''' to express personal satisfaction.
  
 
=== Algebra ===
 
=== Algebra ===
 
* [[Algebra/Intermediate]]
 
* [[Algebra/Intermediate]]
 
* Polynomials
 
* Polynomials
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** [[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
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** [[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
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** [[AM-GM Inequality]]
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** [[Cauchy-Schwarz Inequality]], very dissatisfied with this.
  
 
=== Combinatorics ===
 
=== Combinatorics ===
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** [[Casework]]
 
** [[Casework]]
 
** [[Complementary counting]]
 
** [[Complementary counting]]
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** [[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
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** [[Trigonometry]]
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** '''[[Trigonometry]]''', might have to tinker with the grammar though
 
** [[Trigonometric identities]]
 
** [[Trigonometric identities]]
  
 
=== Number theory ===
 
=== Number theory ===
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* Nothing major yet.
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* [[Divisibility]], though I don't intend to finish this article.
  
 
=== Miscellaneous ===
 
=== Miscellaneous ===
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== On the agenda ==
 
== On the agenda ==
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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 article [[AM-GM Inequality]] (which will take me a long time).
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Right now, I'm most interested in tidying up Geometry articles.
  
 
=== Major edits needed ===
 
=== Major edits needed ===
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* [[Arithmetic mean-geometric mean inequality]], should be renamed
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* [[Centroid]]
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* [[Cauchy-Schwarz inequality]]
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* [[Incenter]]
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* [[RMS-AM-GM-HM]], the actual name of this article has to be a joke.
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* [[Circumcenter]]
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* [[Arithmetico-geometric series]], should be titled sequence, is somewhat messy.
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* [[Orthocenter]]  
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* [[Exponential function]], starts with <math>e^x</math> and not general exponential functions. This is good for Wikipedia, which
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* [[Orthic triangle]]. WOW, this article looks terrible.
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covers higher math, but not for a competition math wiki
 
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* [[Logarithm]]
 
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* [[Overcounting]], I completely reworked this article but my device died when I hit submit
 
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* [[Counting]], include a kind of overview of all elementary counting topics
 
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* [[Orthic triangle]], please finish this James it looks terrible
 
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=== Examples and/or problems needed ===
 
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* [[Geometric sequence]], needs plain problems
 
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* [[Polynomial remainder theorem]], needs another example
 
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* [[Rational root theorem]], problems too easy
 
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* [[Complex conjugate root theorem]], needs examples
 
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* [[Vieta's formulas]], needs examples
 
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== My Philosophy ==
 
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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?
 
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Well, I think it should depend on:
 
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* How much the topic is covered in schools,
 
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* How essential the topic is in competition math, and
 
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* How familiar its content might be to an unaccustomed reader.
 
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For example, [[harmonic sequences]] — most problems involving them can be solved without even knowing of their existence (by reading it as reciprocals of an arithmetic sequence), so the article would mostly cover familiar matters. The article should thus be brief and only list useful tips.
 
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Another example, [[arithmetic sequence | arithmetic]] and [[geometric sequences]]; these topics are usually given their own unit in high school, so a lot of resources already exist out there that assume zero familiarity. It would be best, then, for the article to only cover proofs and examples that are absent from the standard curriculum.
 
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On the contrary, [[constructive counting]] is not mentioned in high school classes, essential for an effective study of counting, and very new to an unaccustomed reader; then the article really should build from the ground up and be more thorough, even if it makes it much longer.
 
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If you have comments or critiques of anything mentioned here, leave a message on my discussion page and I'd love to share my thoughts.
 

Latest revision as of 10:15, 18 June 2023

I'm James Pagan, that WikiOgre math major at NYU. I use the AoPS Wiki to write notes and lesson plans — my articles benefit my audience as much as myself.

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

Combinatorics

Geometry

Number theory

Miscellaneous

On the agenda

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

Major edits needed

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