Electrowetting - Revision history

en>Jamesfbrown: Add the terms EWOD and immiscible as used later in the history.

2015-01-05T19:13:14Z

Add the terms EWOD and immiscible as used later in the history.

← Older revision		Revision as of 21:13, 5 January 2015
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	~~'''Sir Thomas Muir''' [[Royal Society\|FRS]]<ref>{{cite doi\|10~~.~~1098/rsbm.1934.0002}}</ref>~~ (~~25 August 1844 – 21 March 1934~~) ~~was a [[Scotland\|Scottish]] [[mathematician]], remembered as an authority on [[determinant]]s~~.<~~ref~~>~~{{cite doi\|10.1038/132271a0}}~~<~~/ref~~><ref>{{cite doi\|10.1038/134449a0}}</ref><ref>{{MacTutor Biography\|id=Muir}}</ref> He was born in Stonebyres in [[South Lanarkshire]], and brought up in the small town of [[Biggar, Scotland\|Biggar]]. At the [[University of Glasgow]] he changed his studies from classics to [[mathematics]] after advice from the future [[Lord Kelvin]]. After graduating he held positions at the [[University of St Andrews]] and the [[University of Glasgow]]. From 1874 to 1892 he taught at [[High School of Glasgow\|Glasgow High School]]. In 1882 he published ''Treatise on the theory of determinants''; ~~then in 1890 he published a ''History of determinants''. In his 1882 work, Muir rediscovered an important lemma that was first proved by Cayley 35 years earlier:<ref>{{cite journal~~		I am 25 years old and my name is Jamison Trenwith. I life in Herouville-Saint-Clair (France).<br><br>My webpage; Fifa 15 Coin Generator - [http://www.hzwuhai.com/plus/guestbook.php www.hzwuhai.com] -
	~~\| last1 = Cayley~~
	~~\| first1 = Arthur~~
	~~\| authorlink1 = Arthur Cayley~~
	~~\| year = 1847~~
	~~\| title = Sur les determinants gauches~~
	~~\| trans_title = On skew determinants~~
	~~\| journal = Crelle's Journal~~
	~~\| volume = 38~~
	~~\| pages = 93–96~~
	~~}}</ref>~~

	~~If B is a [[skew symmetric matrix]], then its [[determinant]] is equal to the square of its [[Pfaffian]]:~~

	~~:<math>\det(\mathbf{B})=\operatorname{pf}^2(\mathbf{B}) \, </math>~~

	~~From 1892 he was in [[South Africa]] working in education, and then in administration at the [[University of the Cape]]. He was elected a~~ [~~[Fellow of the Royal Society of Edinburgh]] and in 1900 a [[Fellow of the Royal Society]].<ref>{{cite web \| url =~~ http://~~www2~~.~~royalsociety~~.~~org~~/~~DServe~~/~~dserve~~.~~exe?dsqIni=Dserve~~.~~ini&dsqApp=Archive&dsqCmd=Show~~.tcl&dsqDb=Persons&dsqPos=2&dsqSearch=%28Surname%3D%27muir%27%29\| title = Library and Archive Cataloge\|publisher = Royal Society\|accessdate = 2012-03-05}}</ref> He was installed Companion of the Order of St Michael and St George (CMG) in 1901 and knighted in 1915.

	~~From 1906 onwards he published a five-volume expansion of his history of determinants, the final part (1929) taking the theory to 1920. A further book followed in 1930.~~

	~~His name now attaches to a [[Duality (mathematics)\|duality]~~] ~~theorem on relations between [[Minor (matrix)\|minors]]. In more abstract language, it is a general result on the equations defining [[Grassmannian]]s as [[algebraic variety\|algebraic varieties]].~~

	~~==Publications by Sir Thomas Muir==~~
	* ''The Theory of the Determinant in the Historical Order of Development''. 4 vols. New York: Dover Publications 1960
	* ''A Treatise on the Theory of Determinants''. Revised and Enlarged by William H. Metzler. New York: Dover Publications 1960
	* "A Second Budget of Exercises on Determinants", ''[[American Mathematical Monthly]]'', Vol. 31, No. 6. (June, 1924), pp. 264–274
	* "Note on the Transformation of a Determinant into any Other Equivalent Determinant", The Analyst, Vol. 10, No. 1. (Jan 1883), pp. 8–9

	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* {{Wikisource author-inline\|Thomas Muir}}

	~~{{Authority control\|VIAF=37012618\|LCCN=n/84/801732}}~~

	~~{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->~~
	~~\| NAME = Muir, Thomas~~
	~~\| ALTERNATIVE NAMES =~~
	~~\| SHORT DESCRIPTION = British mathematician~~
	~~\| DATE OF BIRTH = 25 August 1844~~
	~~\| PLACE OF BIRTH =~~
	~~\| DATE OF DEATH = 21 March 1934~~
	~~\| PLACE OF DEATH =~~
	}}
	~~{{DEFAULTSORT:Muir, Thomas}}~~
	~~[[Category:1844 births]]~~
	~~[[Category:1934 deaths]]~~
	~~[[Category:People from South Lanarkshire]]~~
	~~[[Category:Scottish mathematicians]]~~
	~~[[Category:Scottish scholars and academics]]~~
	~~[[Category:Alumni of the University of Glasgow]]~~
	~~[[Category:Academics of the University of St Andrews]]~~
	~~[[Category:Knights Bachelor]]~~
	~~[[Category:Fellows of the Royal Society of Edinburgh]]~~
	~~[[Category:Fellows of the Royal Society]]~~


	~~{{UK-mathematician-stub}}~~
	~~{{Scotland-bio~~-~~stub}}~~

en>Edcolins: capitalization per WP:Section caps, reworded

2014-01-25T17:02:38Z

capitalization per WP:Section caps, reworded

← Older revision		Revision as of 19:02, 25 January 2014
Line 1:		Line 1:
	~~Luke Bryan is~~ a ~~celebrity~~ from the ~~generating plus~~ the ~~profession progress initially second~~ to ~~his third restaurant recording, And , is definitely the confirmation~~. ~~He burst~~ on the ~~scene~~ in ~~2015 together with~~ his ~~amusing blend of downward-home accessibility~~, ~~motion picture legend wonderful appearance and~~ ~~words,~~ is ~~set t in~~ a ~~significant way. The newest record Top about the country graph or chart and #2 in the pop maps~~, ~~producing it~~ the ~~next top debut during those times~~ of ~~1999 for a country artist.~~ <br><br>~~The boy of a~~ , ~~understands patience~~ and ~~willpower are important elements~~ in ~~relation to an effective job-~~ . ~~His first album, Continue to be Me, produced~~ the ~~very best reaches “All My Girlfriends “Country~~ and ~~Say” Guy,” although his~~ ~~energy, Doin’ Thing, located~~ the ~~artist-about [~~http://~~lukebryantickets~~.~~citizenswebcasting~~.~~com concerts] three straight No~~. ~~6 singles: Different Contacting Is really a Fantastic Point~~.”<br>~~<br>In~~ the ~~tumble~~ of ~~2014, Concert tours: Luke Bryan And which had an outstanding selection~~ of , ~~which include Urban~~. ~~“It’s almost like you are acquiring~~ a ~~approval to visit one stage further~~, ~~affirms those artists that had been~~ a ~~part~~ of the ~~Concert tourabove right into a larger sized measure~~ of ~~artists~~.~~” It [http~~:~~//lukebryantickets~~.~~sgs-suparco~~.~~org luke bryan tickets~~ on ~~sale dates~~] ~~packaged as one~~ of ~~the most successful trips in its~~ 10-~~12 months historical past~~.~~<br~~>~~<br>my blog post~~ :: ~~luke bryan my kind (~~[~~http~~:~~//okkyunglee.com http~~:~~//okkyunglee.com~~])		'''Sir Thomas Muir''' [[Royal Society\|FRS]]<ref>{{cite doi\|10.1098/rsbm.1934.0002}}</ref> (25 August 1844 – 21 March 1934) was a [[Scotland\|Scottish]] [[mathematician]], remembered as an authority on [[determinant]]s.<ref>{{cite doi\|10.1038/132271a0}}</ref><ref>{{cite doi\|10.1038/134449a0}}</ref><ref>{{MacTutor Biography\|id=Muir}}</ref> He was born in Stonebyres in [[South Lanarkshire]], and brought up in the small town of [[Biggar, Scotland\|Biggar]]. At the [[University of Glasgow]] he changed his studies from classics to [[mathematics]] after advice from the future [[Lord Kelvin]]. After graduating he held positions at the [[University of St Andrews]] and the [[University of Glasgow]]. From 1874 to 1892 he taught at [[High School of Glasgow\|Glasgow High School]]. In 1882 he published ''Treatise on the theory of determinants''; then in 1890 he published a ''History of determinants''. In his 1882 work, Muir rediscovered an important lemma that was first proved by Cayley 35 years earlier:<ref>{{cite journal
			\| last1 = Cayley
			\| first1 = Arthur
			\| authorlink1 = Arthur Cayley
			\| year = 1847
			\| title = Sur les determinants gauches
			\| trans_title = On skew determinants
			\| journal = Crelle's Journal
			\| volume = 38
			\| pages = 93–96
			}}</ref>

			If B is a [[skew symmetric matrix]], then its [[determinant]] is equal to the square of its [[Pfaffian]]:

			:<math>\det(\mathbf{B})=\operatorname{pf}^2(\mathbf{B}) \, </math>

			From 1892 he was in [[South Africa]] working in education, and then in administration at the [[University of the Cape]]. He was elected a [[Fellow of the Royal Society of Edinburgh]] and in 1900 a [[Fellow of the Royal Society]].<ref>{{cite web \| url = http://www2.royalsociety.org/DServe/dserve.exe?dsqIni=Dserve.ini&dsqApp=Archive&dsqCmd=Show.tcl&dsqDb=Persons&dsqPos=2&dsqSearch=%28Surname%3D%27muir%27%29\| title = Library and Archive Cataloge\|publisher = Royal Society\|accessdate = 2012-03-05}}</ref> He was installed Companion of the Order of St Michael and St George (CMG) in 1901 and knighted in 1915.

			From 1906 onwards he published a five-volume expansion of his history of determinants, the final part (1929) taking the theory to 1920. A further book followed in 1930.

			His name now attaches to a [[Duality (mathematics)\|duality]] theorem on relations between [[Minor (matrix)\|minors]]. In more abstract language, it is a general result on the equations defining [[Grassmannian]]s as [[algebraic variety\|algebraic varieties]].

			==Publications by Sir Thomas Muir==
			* ''The Theory of the Determinant in the Historical Order of Development''. 4 vols. New York: Dover Publications 1960
			* ''A Treatise on the Theory of Determinants''. Revised and Enlarged by William H. Metzler. New York: Dover Publications 1960
			* "A Second Budget of Exercises on Determinants", ''[[American Mathematical Monthly]]'', Vol. 31, No. 6. (June, 1924), pp. 264–274
			* "Note on the Transformation of a Determinant into any Other Equivalent Determinant", The Analyst, Vol. 10, No. 1. (Jan 1883), pp. 8–9

			==References==
			{{reflist}}

			==External links==
			* {{Wikisource author-inline\|Thomas Muir}}

			{{Authority control\|VIAF=37012618\|LCCN=n/84/801732}}

			{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
			\| NAME = Muir, Thomas
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION = British mathematician
			\| DATE OF BIRTH = 25 August 1844
			\| PLACE OF BIRTH =
			\| DATE OF DEATH = 21 March 1934
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Muir, Thomas}}
			[[Category:1844 births]]
			[[Category:1934 deaths]]
			[[Category:People from South Lanarkshire]]
			[[Category:Scottish mathematicians]]
			[[Category:Scottish scholars and academics]]
			[[Category:Alumni of the University of Glasgow]]
			[[Category:Academics of the University of St Andrews]]
			[[Category:Knights Bachelor]]
			[[Category:Fellows of the Royal Society of Edinburgh]]
			[[Category:Fellows of the Royal Society]]


			{{UK-mathematician-stub}}
			{{Scotland-bio-stub}}

202.242.187.155 at 02:37, 30 July 2012

2012-07-30T02:37:31Z

New page

Luke Bryan is a celebrity from the generating plus the profession progress initially second to his third restaurant recording, And , is definitely the confirmation. He burst on the scene in 2015 together with his amusing blend of downward-home accessibility, motion picture legend wonderful appearance and words, is set t in a significant way. The newest record Top about the country graph or chart and #2 in the pop maps, producing it the next top debut during those times of 1999 for a country artist. The boy of a , understands patience and willpower are important elements in relation to an effective job- . His first album, Continue to be Me, produced the very best reaches “All My Girlfriends “Country and Say” Guy,” although his energy, Doin’ Thing, located the artist-about [http://lukebryantickets.citizenswebcasting.com concerts] three straight No. 6 singles: Different Contacting Is really a Fantastic Point.” In the tumble of 2014, Concert tours: Luke Bryan And which had an outstanding selection of , which include Urban. “It’s almost like you are acquiring a approval to visit one stage further, affirms those artists that had been a part of the Concert tourabove right into a larger sized measure of artists.” It [http://lukebryantickets.sgs-suparco.org luke bryan tickets on sale dates] packaged as one of the most successful trips in its 10-12 months historical past. my blog post :: luke bryan my kind ([http://okkyunglee.com http://okkyunglee.com])