Wikipedia:Featured article candidates/Euclidean algorithm/archive1: Difference between revisions

Revision as of 13:13, 16 May 2009

Revision as of 14:11, 16 May 2009

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**::::I changed the wording slightly to "Dedekind also defined the concept of a [[Euclidean ___domain]], a number system in which a version of the Euclidean algorithm can be defined (as described [[Euclidean algorithm#Euclidean domains|below]])." I'm hoping that the wikilink to the fuller explanation within the article itself will satisfy the readers' curiosity. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 16:04, 14 May 2009 (UTC)

**:::::That's better, but the wording is still a bit odd. "...in which a version of the Euclidean algorithm..." isn't worded in the best possible way, as it leaves the reader thinking "Uhh... what version?" Any adjective before "version" would make this read more smoothly.

**::::::Perhaps "generalized version"? I don't want to have to go into details in the hHistory section about how we need to define the norm and the definition of divisibility in the new sumber system to make an EA work there. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 14:11, 16 May 2009 (UTC)

**<s>"In 1829, Sturm showed..." Not sure why this chunk comes after the Dirichlet/Dedekind bit. I'm assuming that Dirichlet/Dedekind did their work after 1832, which may not be correct. If that is correct, then this section is somewhat out of order. If is not correct, then this is still out of order and specific years should be added for clarity (if possible).</s>

**::I was trying to discern between two developments of the EA in the 19th century: the ''general'' development of new number systems and ''specific'' applications of the EA such as Sturm's theorem. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 06:42, 11 May 2009 (UTC)

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**:Another difficult call. I sympathize with the critique, but I'm not sure where else to put the discussion. Hitherto I've included the discussion and early in the article, because it's mentioned prominently in some textbooks, it's been the subject of a few research papers, and because I suspect that it might help make some readers more comfortable with the topic, less daunted by the otherwise unbroken wall of math and more likely to push on. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 16:26, 14 May 2009 (UTC)

**It seems odd that the ''Bezout's identity'' section is a subsection of ''Applications''. Applications sections, in my (probably biased) experience, generally deal with how the subject applies to real world problems, not theoretical mumbo jumbo. Some readers will probably jump down to ''Applications'' thinking that they are going to be reading about how the EA can be used in sailing or accounting or whatever. To avoid crushing their tiny little hearts, consider changing ''Applications'' to ''Mathematical applications'', though I may be alone in thinking that this is a good idea.

**::That does seem like a good suggestion; more specific section headings are always better. Changed to "Mathematical applications". [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 14:11, 16 May 2009 (UTC)

--'''[[User:Cryptic C62|Cryptic C62]] · [[User talk: Cryptic C62|Talk]]''' 19:59, 3 May 2009 (UTC)

:::Thank you very much for your careful reviewing! The article is definitely improving. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 10:32, 4 May 2009 (UTC)