Squared deviations - Revision history

en>ClueBot NG: Reverting possible vandalism by 115.115.171.198 to version by Yobot. False positive? Report it. Thanks, ClueBot NG. (2025373) (Bot)

2014-11-12T09:08:05Z

Reverting possible vandalism by 115.115.171.198 to version by Yobot. False positive? Report it. Thanks, ClueBot NG. (2025373) (Bot)

← Older revision		Revision as of 11:08, 12 November 2014
Line 1:		Line 1:
	~~Nice to meet you, I am Marvella~~ Shryock~~. Years ago we moved to North Dakota and I adore every day residing right here. She~~ is ~~a librarian~~ but ~~she's always needed her own business~~. One of the ~~issues he~~ loves most is ~~ice skating but he~~ is ~~having difficulties~~ to ~~discover time for~~ it.<br><br>~~My weblog~~: ~~at home std testing;~~ [http://~~muzikoman~~.com/~~profile-682~~/~~info/ published here~~],		Emilia Shryock is my title but you can call me anything you like. One of the things she loves most is to do aerobics and now she is trying to make money with it. Years in the past we moved to Puerto Rico and my family members enjoys it. Hiring is my profession.<br><br>Feel free to visit my web blog: [http://www.ddaybeauty.com/node/14766 at home std testing]

en>Nbarth: /* Sample variance */ links

2014-02-23T16:32:01Z

Sample variance: links

← Older revision		Revision as of 18:32, 23 February 2014
Line 1:		Line 1:
	~~The '''Ragsdale conjecture''' is a [[mathematics\|mathematical]] [[conjecture]] that concerns the possible arrangements of real [[algebraic curves]] embedded in the [[projective plane]]~~. ~~It was proposed by [[Virginia Ragsdale]] several years after 1900~~ and ~~was disproved in 1979~~.<ref>{{cite journal\| last=Viro \| first=Oleg Ya. \| authorlink=Oleg Viro \| year=1980 \| title=Кривые степени 7, кривые степени 8 и гипотеза Рэгсдейл \| trans_title=Curves of degree 7, curves of degree 8 and the hypothesis of Ragsdale \| journal=[[Doklady Akademii Nauk SSSR]] \| volume=254 \| issue=6 \| pages=1306–1309}} Translated in {{cite journal\| journal=Soviet Mathematics - Doklady \| volume=22 \| pages=566–570 \| year=1980}}</ref>		Nice to meet you, I am Marvella Shryock. Years ago we moved to North Dakota and I adore every day residing right here. She is a librarian but she's always needed her own business. One of the issues he loves most is ice skating but he is having difficulties to discover time for it.<br><br>My weblog: at home std testing; [http://muzikoman.com/profile-682/info/ published here],

	~~==Background==~~
	~~Her dissertation dealt with [[Hilbert~~'s ~~sixteenth problem]], which was proposed in the year 1900, along with [[Hilbert's problems\|22 other unsolved problems of the 19th century]]~~. ~~Ragsdale conjectured a particular upper bound on the number~~ of ~~topological circles of a certain type, along with~~ the ~~basis of evidence. The conjecture was held of high importance in the field of real algebraic geometry~~ for ~~nearly a century~~. ~~Later [[Oleg Viro]] and [[Ilya Itenberg]] produced [[counterexamples]] to the Ragsdale conjecture, although the problem of finding a sharp upper bound remains unsolved.~~

	~~==Conjecture==~~
	~~Ragsdale's main conjecture is as follows.~~

	~~Assume that an [[algebraic curve]] of degree 2''k'' contains ''p'' even and ''n'' odd ovals. Ragsdale conjectured that~~

	:<~~math~~> ~~p \le \tfrac32 k(k-1) + 1 \quad\text{and}\quad n \le \tfrac32 k(k-1).~~ <~~/math~~>

	~~She also posed the inequality~~

	:~~<math> \| 2(p-n)-1 \| \le 3k^2 - 3k + 1, </math>~~

	~~and showed that the inequality could not be further improved. This inequality was later proved by~~ [~~[Ivan Petrovsky\|Petrovsky]].~~

	~~==Notes==~~
	~~<references/>~~

	~~==References==~~
	* {{cite web \|url=http://~~www~~.~~agnesscott.edu~~/~~LRiddle~~/~~women~~/~~ragsdale.htm \|title=Virginia Ragsdale \|accessdate=2007-03-09 \|last=De Loera \|first=Jesús \|coauthors=Frederick J. Wicklin \|year=2006 \|work=Biographies of Women Mathematicians }}~~

	~~[[Category:Conjectures]]~~
	~~[[Category:Real algebraic geometry]~~]

68.231.212.2 at 06:15, 1 November 2012

2012-11-01T06:15:25Z

← Older revision		Revision as of 08:15, 1 November 2012
Line 1:		Line 1:
	~~Irwin Butts~~ is ~~what my spouse loves to call me although I don't really like becoming known as like~~ that. ~~For many~~ years he's ~~been working as~~ a ~~receptionist~~. ~~To gather coins~~ is ~~what his family~~ and ~~him enjoy~~. ~~Years ago we moved to North Dakota~~ and ~~I adore every day living here~~.<br><br>~~Feel free to surf to my website~~ - [http://~~dtekorea~~.~~com~~/xe/~~DS_030111~~/~~1073195 home std test kit~~]		The '''Ragsdale conjecture''' is a [[mathematics\|mathematical]] [[conjecture]] that concerns the possible arrangements of real [[algebraic curves]] embedded in the [[projective plane]]. It was proposed by [[Virginia Ragsdale]] several years after 1900 and was disproved in 1979.<ref>{{cite journal\| last=Viro \| first=Oleg Ya. \| authorlink=Oleg Viro \| year=1980 \| title=Кривые степени 7, кривые степени 8 и гипотеза Рэгсдейл \| trans_title=Curves of degree 7, curves of degree 8 and the hypothesis of Ragsdale \| journal=[[Doklady Akademii Nauk SSSR]] \| volume=254 \| issue=6 \| pages=1306–1309}} Translated in {{cite journal\| journal=Soviet Mathematics - Doklady \| volume=22 \| pages=566–570 \| year=1980}}</ref>

			==Background==
			Her dissertation dealt with [[Hilbert's sixteenth problem]], which was proposed in the year 1900, along with [[Hilbert's problems\|22 other unsolved problems of the 19th century]]. Ragsdale conjectured a particular upper bound on the number of topological circles of a certain type, along with the basis of evidence. The conjecture was held of high importance in the field of real algebraic geometry for nearly a century. Later [[Oleg Viro]] and [[Ilya Itenberg]] produced [[counterexamples]] to the Ragsdale conjecture, although the problem of finding a sharp upper bound remains unsolved.

			==Conjecture==
			Ragsdale's main conjecture is as follows.

			Assume that an [[algebraic curve]] of degree 2''k'' contains ''p'' even and ''n'' odd ovals. Ragsdale conjectured that

			:<math> p \le \tfrac32 k(k-1) + 1 \quad\text{and}\quad n \le \tfrac32 k(k-1). </math>

			She also posed the inequality

			:<math> \| 2(p-n)-1 \| \le 3k^2 - 3k + 1, </math>

			and showed that the inequality could not be further improved. This inequality was later proved by [[Ivan Petrovsky\|Petrovsky]].

			==Notes==
			<references/>

			==References==
			* {{cite web \|url=http://www.agnesscott.edu/LRiddle/women/ragsdale.htm \|title=Virginia Ragsdale \|accessdate=2007-03-09 \|last=De Loera \|first=Jesús \|coauthors=Frederick J. Wicklin \|year=2006 \|work=Biographies of Women Mathematicians }}

			[[Category:Conjectures]]
			[[Category:Real algebraic geometry]]

en>Khazar2: clean up, typos fixed: well-known → well known using AWB (8097)

2012-07-21T17:35:55Z

clean up, typos fixed: well-known → well known using AWB (8097)

New page

Irwin Butts is what my spouse loves to call me although I don't really like becoming known as like that. For many years he's been working as a receptionist. To gather coins is what his family and him enjoy. Years ago we moved to North Dakota and I adore every day living here.<br><br>Feel free to surf to my website - [http://dtekorea.com/xe/DS_030111/1073195 home std test kit]