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en>AresLiam: /* Relation between ASTM D2240 hardness and elastic modulus */

2014-08-19T16:32:57Z

Relation between ASTM D2240 hardness and elastic modulus

← Older revision		Revision as of 18:32, 19 August 2014
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	~~She~~ is ~~recognized by the title of Myrtle Shryock~~. ~~What~~ I adore ~~performing~~ is to ~~gather badges but I've been using on new issues lately~~. ~~Minnesota is exactly where he~~'s ~~been residing for many years. Hiring~~ is ~~her working day occupation now~~ but ~~she~~'~~s always needed her personal business~~.<br><br>~~Also visit my weblog std testing at home (~~[http://~~kgmcscs~~.~~realmind~~.~~net~~/xe/~~467281 Highly recommended Online site~~])		Wilber Berryhill is what his wife enjoys to call him and he totally loves this name. My spouse and I reside in Mississippi and I adore each day residing here. Credit authorising is how he tends to make money. It's not a typical thing but what I like doing is to climb but I don't have the time recently.<br><br>My web page; certified psychics [[http://checkmates.co.za/index.php?do=/profile-56347/info/ Recommended Webpage]]

218.47.62.103: /* Method of measurement */ .25 > 0.25 for clarity

2014-02-27T01:09:42Z

Method of measurement: .25 > 0.25 for clarity

← Older revision		Revision as of 03:09, 27 February 2014
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	~~{{refimprove\|date=August 2012}}~~		She is recognized by the title of Myrtle Shryock. What I adore performing is to gather badges but I've been using on new issues lately. Minnesota is exactly where he's been residing for many years. Hiring is her working day occupation now but she's always needed her personal business.<br><br>Also visit my weblog std testing at home ([http://kgmcscs.realmind.net/xe/467281 Highly recommended Online site])
	~~In mathematics,~~ the ~~following [[matrix (mathematics)\|matrix]] was given by [[Indian mathematics\|Indian mathematician]] [[Brahmagupta]]:<ref>{{cite web \|url=http://www.fq.math.ca/Scanned/34-1/suryanarayan.pdf \|~~title~~=The Brahmagupta polynomials \|author= \|date= \|work=Suryanarayanan \|publisher=The Fibonacci Quarterly \|accessdate=3 November 2011}}</ref>~~

	~~:<math>B(x,y) = \begin{bmatrix}~~
	~~x & y \\~~
	~~\pm ty & \pm x \end{bmatrix}~~.~~</math>~~

	~~It satisfies~~

	~~:<math>B(x_1,y_1) B(x_2,y_2) = B(x_1 x_2 \pm ty_1 y_2,x_1 y_2 \pm y_1 x_2)~~.~~\,</math>~~

	~~Powers of the matrix are defined by~~

	~~:<math>B^n = \begin{bmatrix}~~
	~~x & y \\~~
	~~ty & x \end{bmatrix}^n = \begin{bmatrix}~~
	~~x_n & y_n \\~~
	~~ty_n & x_n \end{bmatrix} \equiv B_n~~.~~</math>~~

	~~The <math>\ x_n</math> and <math>\ y_n</math> are called [[Brahmagupta polynomial]]~~s. ~~The Brahmagupta matrices can be extended to [[negative number\|negative]] [[integer]]s:~~

	:<~~math~~>~~B^{-n} = \begin{bmatrix}~~
	~~x & y \\~~
	~~ty & x \end{bmatrix}^{-n} = \begin{bmatrix}~~
	~~x_{-n} & y_{-n} \\~~
	~~ty_{-n} & x_{-n} \end{bmatrix} \equiv B_{-n}.~~<~~/math~~>

	~~==See also==~~
	*[[Brahmagupta's identity]]
	*[[Brahmagupta's function]]
	~~==References==~~
	~~{{reflist}}~~

	~~==External links==~~
	* Eric Weisstein. ''[http://~~mathworld~~.~~wolfram~~.~~com~~/~~BrahmaguptaMatrix.html Brahmagupta Matrix]'', [[MathWorld]], 1999.~~
	*{{cite book \|title=CRC Concise Encyclopedia of Mathematics \|last=Weisstein \|first=Eric W.\|authorlink=Eric W. Weisstein\|year=2003 \|publisher=CRC Press \|location=Florida \|isbn=1-58488-347-2 \|page=282}}

	~~[[Category:Brahmagupta]]~~
	~~[[Category:Matrices]~~]

115.249.233.122: /* Relation between ASTM D2240 hardness and elastic modulus */

2013-12-18T09:57:55Z

Relation between ASTM D2240 hardness and elastic modulus

← Older revision		Revision as of 11:57, 18 December 2013
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	~~Hi there~~. ~~Let me~~ begin ~~by introducing the writer~~, ~~her title is Myrtle Cleary~~. ~~What I adore doing is to gather badges but I've been using on new things lately~~. ~~I am a meter reader. California is exactly where I've usually been residing~~ and ~~I love every working day living here~~.<br><br>~~My blog:~~ [http://~~Btcsoc~~.com/~~index~~.~~php?do~~=~~/profile~~-~~4621/info/ Btcsoc.com~~]		{{refimprove\|date=August 2012}}
			In mathematics, the following [[matrix (mathematics)\|matrix]] was given by [[Indian mathematics\|Indian mathematician]] [[Brahmagupta]]:<ref>{{cite web \|url=http://www.fq.math.ca/Scanned/34-1/suryanarayan.pdf \|title=The Brahmagupta polynomials \|author= \|date= \|work=Suryanarayanan \|publisher=The Fibonacci Quarterly \|accessdate=3 November 2011}}</ref>

			:<math>B(x,y) = \begin{bmatrix}
			x & y \\
			\pm ty & \pm x \end{bmatrix}.</math>

			It satisfies

			:<math>B(x_1,y_1) B(x_2,y_2) = B(x_1 x_2 \pm ty_1 y_2,x_1 y_2 \pm y_1 x_2).\,</math>

			Powers of the matrix are defined by

			:<math>B^n = \begin{bmatrix}
			x & y \\
			ty & x \end{bmatrix}^n = \begin{bmatrix}
			x_n & y_n \\
			ty_n & x_n \end{bmatrix} \equiv B_n.</math>

			The <math>\ x_n</math> and <math>\ y_n</math> are called [[Brahmagupta polynomial]]s. The Brahmagupta matrices can be extended to [[negative number\|negative]] [[integer]]s:

			:<math>B^{-n} = \begin{bmatrix}
			x & y \\
			ty & x \end{bmatrix}^{-n} = \begin{bmatrix}
			x_{-n} & y_{-n} \\
			ty_{-n} & x_{-n} \end{bmatrix} \equiv B_{-n}.</math>

			==See also==
			*[[Brahmagupta's identity]]
			*[[Brahmagupta's function]]
			==References==
			{{reflist}}

			==External links==
			* Eric Weisstein. ''[http://mathworld.wolfram.com/BrahmaguptaMatrix.html Brahmagupta Matrix]'', [[MathWorld]], 1999.
			*{{cite book \|title=CRC Concise Encyclopedia of Mathematics \|last=Weisstein \|first=Eric W.\|authorlink=Eric W. Weisstein\|year=2003 \|publisher=CRC Press \|location=Florida \|isbn=1-58488-347-2 \|page=282}}

			[[Category:Brahmagupta]]
			[[Category:Matrices]]

en>Alexf: Reverted edits by Rexgauge (talk) to last version by 50.136.230.96

2012-08-13T16:25:44Z

Reverted edits by Rexgauge (talk) to last version by 50.136.230.96

New page

Hi there. Let me begin by introducing the writer, her title is Myrtle Cleary. What I adore doing is to gather badges but I've been using on new things lately. I am a meter reader. California is exactly where I've usually been residing and I love every working day living here.<br><br>My blog: [http://Btcsoc.com/index.php?do=/profile-4621/info/ Btcsoc.com]