Difference between revisions of "User:Etmetalakret"
Etmetalakret (talk | contribs) (Added a philosophy section, which lists some thoughts I've been having on writing effective articles.) |
Etmetalakret (talk | contribs) (Grammar in philosophy section) |
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== Philosophy == | == 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? | + | 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: | Well, I think it should depend on: | ||
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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. | 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. | + | 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. | 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 | + | 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. |
Revision as of 13:53, 24 December 2021
is haooe inc
Contents
DONT INCEASE THE NUNMBER
do NOT increase this number under any circumstances please don't its literally and um tis like you can't
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.
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
Geometry
- Geometry/Olympiad
- Synthetic geometry
- Incenter/excenter lemma, my first article, a total unprofessional mess.
- Trigonometry
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 article AM-GM Inequality (which will take me a long time).
Major edits needed
- Arithmetic mean-geometric mean inequality, should be renamed
- Cauchy-Schwarz inequality
- RMS-AM-GM-HM, the actual name of this article has to be a joke.
- Arithmetico-geometric series, should be titled sequence, is somewhat messy.
- Exponential function, starts with
and not general exponential functions. This is good for Wikipedia, which
and not general exponential functions. This is good for Wikipedia, whichcovers 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 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.
