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

Revision as of 03:33, 11 May 2009

Revision as of 06:42, 11 May 2009

Line 210:

**::Clarified EA, translated title. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 03:35, 9 May 2009 (UTC)

**"In the 19th century, Carl Friedrich Gauss used the Euclidean algorithm to demonstrate unique factorization of Gaussian integers by 1815 (published 1832), although he did not mention the algorithm in his earlier work, Disquisitiones Arithmeticae (1801), except as a method for continued fractions." If you include specific years, "In the 19th century" is redundant. Also, I'm confused by the 1815/1832 thing. Also, the second chunk is somewhat misleading. Suggested rewrite: "though he had mentioned the algorithm in his earlier work, Disquisitiones Arithmeticae (1801), simply as a method for solving continued fractions."

**::Yes, this was worded awkwardly. I've re-arranged the material and added a topic sentence so that it flows better (I hope). The 1815/1832 issue is that Gauss did the calculation in 1815 (as we know from his notebooks), but didn't publish it until 1832. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 06:42, 11 May 2009 (UTC)

**"[[Dirichlet]] seems to have..." A person's full name (or at least their first name) should be given the first time they are mentioned.

**::OK, Peter it is. [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 06:42, 11 May 2009 (UTC)

**"would hold true for any other system of numbers in which the Euclidean algorithm could be applied" Should be "to which the", right?

**::Right on! thanks, 06:42, 11 May 2009 (UTC)

**"Dirichlet's insight likely inspired Richard Dedekind to develop theories for new types of numbers, the algebraic integers, and more generally Euclidean domains." As this is written, it implies that Dedekind might or might not have developed those theories. Also, the ending construction implies that "new types of numbers, the algebraic integers, and more generally Euclidean domains" are all seperateseparate items in a list, but my hunch is that the second is an example of the first. Suggested rewrite: "Richard Dedekind's theories for new types of numbers, such as algebraic integers and Euclidean domains, may have been inspired by Dirichlet's insight." If you do end up rewriting this sentence, be sure to tweak the following sentence to make sure it flows logically.

**::I made a draft - does it read better now? [[User:Proteins|Proteins]] ([[User talk:Proteins|talk]]) 06:42, 11 May 2009 (UTC)

**"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).

**::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)

--'''[[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)