Impedance parameters - Revision history

207.114.132.30: /* Relation to Y-parameters */

2014-10-16T19:07:46Z

Relation to Y-parameters

← Older revision		Revision as of 21:07, 16 October 2014
Line 1:		Line 1:
	~~The~~ name ~~of the writer~~ is ~~Jayson~~. To ~~perform domino~~ is ~~some thing I truly~~ enjoy ~~performing~~. ~~Distributing production~~ is exactly where ~~her main earnings comes from~~. ~~Alaska is where~~ I've ~~usually been living~~.<br><br>~~My page; email psychic readings (~~[http://~~Www~~.~~chk.woobi.Co.kr~~/xe/~~?document_srl=346069 Www.chk.woobi.Co.kr~~])		Hi there. Let me start by introducing the author, her name is Myrtle Cleary. To collect cash is what his family members and him enjoy. Puerto Rico is exactly where he's been living for years and he will by no means move. Hiring has been my profession for some time but I've already utilized for an additional one.<br><br>Stop by my blog :: [http://raybana.com/chat/pg/profile/GIsaachse at home std testing]

en>دالبا: /* Two-port networks */ File:Two-Port Z-parameters Thevenin equivalent.svg + File:Two-Port Z-parameters reciprocal equivalent.svg

2014-03-02T17:08:51Z

Two-port networks: File:Two-Port Z-parameters Thevenin equivalent.svg + File:Two-Port Z-parameters reciprocal equivalent.svg

← Older revision		Revision as of 19:08, 2 March 2014
Line 1:		Line 1:
	~~In [[mathematics]],~~ the ~~'''Newton inequalities''' are named after [[Isaac Newton]]~~. ~~Suppose ''a''<sub>1</sub>, ''a''<sub>2</sub>, ~~...~~, ''a''~~<~~sub~~>~~''n''~~<~~/sub~~> ~~are [[real numbers]] and let <math>\sigma_k</math> denote the ''k''th [[elementary symmetric function]] in ''a''<sub>1</sub>,&nbsp~~;~~''a''<sub>2</sub>, ..., ''a''<sub>''n''</sub>. Then the '''elementary symmetric means''', given by~~		The name of the writer is Jayson. To perform domino is some thing I truly enjoy performing. Distributing production is exactly where her main earnings comes from. Alaska is where I've usually been living.<br><br>My page; email psychic readings ([http://Www.chk.woobi.Co.kr/xe/?document_srl=346069 Www.chk.woobi.Co.kr])

	~~:<math>S_k = \frac{\sigma_k}{\binom{n}{k}}</math>~~

	~~satisfy the~~ [~~[inequality (mathematics)\|inequality]]~~

	:~~<math>S_{k-1}S_{k+1}\le S_k^2<~~/~~math>~~

	~~with equality if and only if all the numbers ''a''<sub>''i''<~~/~~sub> are equal~~. ~~Note that ''S''<sub>1</sub> is the [[arithmetic mean]], and ''S''<sub>n</sub> is the ''n''-th power of the [[geometric mean]].~~

	~~==See also==~~

	* [[Maclaurin's inequality]]

	~~==References==~~
	*{{cite book
	~~\| last = Newton~~
	~~\| first = Isaac~~
	~~\| title = Arithmetica universalis: sive de compositione et resolutione arithmetica liber~~
	~~\| year = 1707~~
	}}
	*D.S. ~~Bernstein ''Matrix Mathematics: Theory, Facts, and Formulas'' (2009 Princeton) p. 55~~
	*{{cite journal
	~~\| last = Maclaurin~~
	~~\| first = C.~~
	~~\| title = A second letter to Martin Folks, Esq.; concerning the roots of equations, with the demonstration of other rules in algebra,~~
	~~\| journal = Phil. Transactions,~~
	~~\| volume = 36~~
	~~\| year = 1729~~
	~~\| pages = 59–96~~
	~~\| doi = 10~~.~~1098~~/~~rstl.1729.0011~~
	~~\| issue = 407–416~~
	}}
	*{{cite journal
	~~\| last = Whiteley~~
	~~\| first = J.N.~~
	~~\| title = On Newton's Inequality for Real Polynomials~~
	~~\| journal = The American Mathematical Monthly~~
	~~\| volume = 76~~
	~~\| year = 1969~~
	~~\| pages = 905–909~~
	~~\| doi = 10.2307~~/~~2317943~~
	~~\| issue~~ = 8
	~~\| jstor = 2317943~~
	~~\| publisher = The American Mathematical Monthly, Vol. 76, No. 8~~
	}}
	*{{ cite journal
	~~\|last = Niculescu~~
	~~\|first = Constantin~~
	~~\|title = A New Look at Newton's Inequalities~~
	~~\|journal = Journal of Inequalities in Pure and Applied Mathematics~~
	~~\|volume = 1~~
	~~\|issue = 2~~
	~~\|year = 2000~~
	~~\|article = 17~~
	~~\|url = http://www~~.~~emis~~.~~de/journals/JIPAM/article111~~.~~html?sid=111~~
	}}

	~~==External links==~~
	* [http://www.emis.~~de/journals/JIPAM/ Journal of Inequalities in Pure and Applied Mathematics]~~

	~~[[Category:Isaac Newton]]~~
	~~[[Category:Inequalities]]~~
	~~[[Category:Symmetric functions]~~]

70.194.10.32: Added a link in the S-parameters section to the S-parameters page

2013-12-31T15:20:24Z

Added a link in the S-parameters section to the S-parameters page

← Older revision		Revision as of 17:20, 31 December 2013
Line 1:		Line 1:
	~~The writer~~'~~s title is Christy Brookins~~. It'~~s not~~ a ~~typical factor but what I like doing is to climb but I don~~'~~t have~~ the ~~time lately~~. ~~Invoicing is my occupation~~. I'~~ve usually loved residing in Mississippi~~.<br><br>Look at ~~my weblog; spirit messages ([~~http://~~cartoonkorea~~.~~com~~/~~ce002~~/~~1093612~~ http://~~cartoonkorea~~.~~com~~/~~ce002~~/~~1093612~~])		In [[mathematics]], the '''Newton inequalities''' are named after [[Isaac Newton]]. Suppose ''a''<sub>1</sub>, ''a''<sub>2</sub>, ..., ''a''<sub>''n''</sub> are [[real numbers]] and let <math>\sigma_k</math> denote the ''k''th [[elementary symmetric function]] in ''a''<sub>1</sub>, ''a''<sub>2</sub>, ..., ''a''<sub>''n''</sub>. Then the '''elementary symmetric means''', given by

			:<math>S_k = \frac{\sigma_k}{\binom{n}{k}}</math>

			satisfy the [[inequality (mathematics)\|inequality]]

			:<math>S_{k-1}S_{k+1}\le S_k^2</math>

			with equality if and only if all the numbers ''a''<sub>''i''</sub> are equal. Note that ''S''<sub>1</sub> is the [[arithmetic mean]], and ''S''<sub>n</sub> is the ''n''-th power of the [[geometric mean]].

			==See also==

			* [[Maclaurin's inequality]]

			==References==
			*{{cite book
			\| last = Newton
			\| first = Isaac
			\| title = Arithmetica universalis: sive de compositione et resolutione arithmetica liber
			\| year = 1707
			}}
			*D.S. Bernstein ''Matrix Mathematics: Theory, Facts, and Formulas'' (2009 Princeton) p. 55
			*{{cite journal
			\| last = Maclaurin
			\| first = C.
			\| title = A second letter to Martin Folks, Esq.; concerning the roots of equations, with the demonstration of other rules in algebra,
			\| journal = Phil. Transactions,
			\| volume = 36
			\| year = 1729
			\| pages = 59–96
			\| doi = 10.1098/rstl.1729.0011
			\| issue = 407–416
			}}
			*{{cite journal
			\| last = Whiteley
			\| first = J.N.
			\| title = On Newton's Inequality for Real Polynomials
			\| journal = The American Mathematical Monthly
			\| volume = 76
			\| year = 1969
			\| pages = 905–909
			\| doi = 10.2307/2317943
			\| issue = 8
			\| jstor = 2317943
			\| publisher = The American Mathematical Monthly, Vol. 76, No. 8
			}}
			*{{ cite journal
			\|last = Niculescu
			\|first = Constantin
			\|title = A New Look at Newton's Inequalities
			\|journal = Journal of Inequalities in Pure and Applied Mathematics
			\|volume = 1
			\|issue = 2
			\|year = 2000
			\|article = 17
			\|url = http://www.emis.de/journals/JIPAM/article111.html?sid=111
			}}

			==External links==
			* [http://www.emis.de/journals/JIPAM/ Journal of Inequalities in Pure and Applied Mathematics]

			[[Category:Isaac Newton]]
			[[Category:Inequalities]]
			[[Category:Symmetric functions]]

en>Wdwd: add inter wikilink

2012-08-26T14:08:59Z

add inter wikilink

New page

The writer's title is Christy Brookins. It's not a typical factor but what I like doing is to climb but I don't have the time lately. Invoicing is my occupation. I've usually loved residing in Mississippi.<br><br>Look at my weblog; spirit messages ([http://cartoonkorea.com/ce002/1093612 http://cartoonkorea.com/ce002/1093612])

← Older revision		Revision as of 19:08, 2 March 2014
Line 1:		Line 1:
	~~In [[mathematics]],~~ the ~~'''Newton inequalities''' are named after [[Isaac Newton]]~~. ~~Suppose ''a''<sub>1</sub>, ''a''<sub>2</sub>, ~~...~~, ''a''~~<~~sub~~>~~''n''~~<~~/sub~~> ~~are [[real numbers]] and let <math>\sigma_k</math> denote the ''k''th [[elementary symmetric function]] in ''a''<sub>1</sub>,&nbsp~~;~~''a''<sub>2</sub>, ..., ''a''<sub>''n''</sub>. Then the '''elementary symmetric means''', given by~~		The name of the writer is Jayson. To perform domino is some thing I truly enjoy performing. Distributing production is exactly where her main earnings comes from. Alaska is where I've usually been living.<br><br>My page; email psychic readings ([http://Www.chk.woobi.Co.kr/xe/?document_srl=346069 Www.chk.woobi.Co.kr])

	~~:<math>S_k = \frac{\sigma_k}{\binom{n}{k}}</math>~~

	~~satisfy the~~ [~~[inequality (mathematics)\|inequality]]~~

	:~~<math>S_{k-1}S_{k+1}\le S_k^2<~~/~~math>~~

	~~with equality if and only if all the numbers ''a''<sub>''i''<~~/~~sub> are equal~~. ~~Note that ''S''<sub>1</sub> is the [[arithmetic mean]], and ''S''<sub>n</sub> is the ''n''-th power of the [[geometric mean]].~~

	~~==See also==~~

	* [[Maclaurin's inequality]]

	~~==References==~~
	*{{cite book
	~~\| last = Newton~~
	~~\| first = Isaac~~
	~~\| title = Arithmetica universalis: sive de compositione et resolutione arithmetica liber~~
	~~\| year = 1707~~
	}}
	*D.S. ~~Bernstein ''Matrix Mathematics: Theory, Facts, and Formulas'' (2009 Princeton) p. 55~~
	*{{cite journal
	~~\| last = Maclaurin~~
	~~\| first = C.~~
	~~\| title = A second letter to Martin Folks, Esq.; concerning the roots of equations, with the demonstration of other rules in algebra,~~
	~~\| journal = Phil. Transactions,~~
	~~\| volume = 36~~
	~~\| year = 1729~~
	~~\| pages = 59–96~~
	~~\| doi = 10~~.~~1098~~/~~rstl.1729.0011~~
	~~\| issue = 407–416~~
	}}
	*{{cite journal
	~~\| last = Whiteley~~
	~~\| first = J.N.~~
	~~\| title = On Newton's Inequality for Real Polynomials~~
	~~\| journal = The American Mathematical Monthly~~
	~~\| volume = 76~~
	~~\| year = 1969~~
	~~\| pages = 905–909~~
	~~\| doi = 10.2307~~/~~2317943~~
	~~\| issue~~ = 8
	~~\| jstor = 2317943~~
	~~\| publisher = The American Mathematical Monthly, Vol. 76, No. 8~~
	}}
	*{{ cite journal
	~~\|last = Niculescu~~
	~~\|first = Constantin~~
	~~\|title = A New Look at Newton's Inequalities~~
	~~\|journal = Journal of Inequalities in Pure and Applied Mathematics~~
	~~\|volume = 1~~
	~~\|issue = 2~~
	~~\|year = 2000~~
	~~\|article = 17~~
	~~\|url = http://www~~.~~emis~~.~~de/journals/JIPAM/article111~~.~~html?sid=111~~
	}}

	~~==External links==~~
	* [http://www.emis.~~de/journals/JIPAM/ Journal of Inequalities in Pure and Applied Mathematics]~~

	~~[[Category:Isaac Newton]]~~
	~~[[Category:Inequalities]]~~
	~~[[Category:Symmetric functions]~~]