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Topic: Prony equation

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	Prony equation - Wikipedia, the free encyclopedia
		The Prony equation is a historically important equation in hydraulics, used to calculate the head loss due to friction within a given run of pipe.
		It is an empirical equation developed by Frenchman Gaspard de Prony in the 19th century:
		This equation has been supplanted in modern hydraulics by the Darcy-Weisbach equation, which used it as a starting point.
	www.wikipedia.org /wiki/Prony_equation (122 words)

	Darcy-Weisbach equation -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		The Darcy-Weisbach equation is an important and widely used equation in (Study of the mechanics of fluids) hydraulics.
		The friction factor f varies according to the parameters of the pipe and the velocity of the flow, and is known to high accuracy within certain flow regimes.
		However, data on its variation with velocity was initially lacking, so this equation was outperformed at first by the empirical Prony equation in many cases.
	www.absoluteastronomy.com /encyclopedia/D/Da/Darcy-Weisbach_equation1.htm (186 words)

	Encyclopedia: Darcy Weisbach equation (Site not responding. Last check: 2007-10-22)
		The Darcy-Weisbach equation is an important and widely used equation in hydraulics.
		The equation was initially a variant on the Prony equation; this variant was developed by Henry Darcy of France, and further refined into the form used today by Julies Weisbach of Saxony in 1845:
		In later years it was eschewed in many special-case situations in favor of a variety of empirical equations, notably the Hazen-Williams equation, most of which were significantly easier to use in calculations.
	www.nationmaster.com /encyclopedia/Darcy-Weisbach-equation (277 words)

	Prony equation -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		The Prony equation is a historically important equation in (Study of the mechanics of fluids) hydraulics, used to calculate the head loss due to (The resistance encountered when one body is moved in contact with another) friction within a given run of pipe.
		It is an (Click link for more info and facts about empirical equation) empirical equation developed by (A person of French nationality) Frenchman (Click link for more info and facts about Gaspard de Prony) Gaspard de Prony in the (Click link for more info and facts about 19th century) 19th century:
		This equation has been supplanted in modern hydraulics by the (Click link for more info and facts about Darcy-Weisbach equation) Darcy-Weisbach equation, which used it as a starting point.
	www.absoluteastronomy.com /encyclopedia/p/pr/prony_equation.htm (131 words)

	Darcy-Weisbach Equation History
		Surprisingly, Prony developed his own equation, but it is believed that Weisbach was aware of Chézy's work from Prony's publication.
		The Darcy-Weisbach equation was not made universally useful until the development of the Moody diagram (Moody, 1944) which built on the work of Hunter Rouse.
		The name of the equation through time is also curious and may be tracked in hydraulic and fluid mechanics textbooks.
	biosystems.okstate.edu /darcy/DarcyWeisbach/Darcy-WeisbachHistory.htm (844 words)

	Prony equation - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-10-22)
		Prony equation - Encyclopedia, History, Geography and Biography
		This page was last modified 09:18, 27 Nov 2004.
		This encyclopedia, history, geography and biography article about Prony equation contains research on
	www.arikah.net /encyclopedia/Prony_equation (142 words)

	List of equations (Site not responding. Last check: 2007-10-22)
		If you have complex equations, lots of exceptions to the equations, non-linearities to accommodate, system inputs...
		See also list of equations in classical mechanics, list of relativistic equations, equation solving, theory of equations.
		The effects of sample size and proportion of buyers in the sample on performance of list segmentation equations generate...
	hallencyclopedia.com /List_of_equations (318 words)

	Business Software Review : Article 'Euler number' (Site not responding. Last check: 2007-10-22)
		The equations above thus represent conservation of mass, three components of momentum, and energy.
		Closing the system requires an equation of state; the most commonly used is the ideal gas law (ie $p=\rho(\gamma-1)e).$
		The better known Bernoulli's equation can be derived by integrating Euler's equation along a streamline under the assumption of constant density and a sufficiently stiff equation of state.de:Eulersche Bewegungsgleichung
	www.business-software-review.org /DisplayArticle722565.html (554 words)

	List Of Equations Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-22)
		Looking For list of equations - Find list of equations and more at Lycos Search.
		Find list of equations - Your relevant result is a click away!
		Look for list of equations - Find list of equations at one of the best sites the Internet has to offer!
	www.karr.net /search/encyclopedia/List_of_equations (268 words)

	pronyfreq: Frequency Estimation
		If true then the top half of the Prony vector and the smallest and largest eigenvalues of the Prony matrix are output at each iteration.
		Useful when using pronyfreq for a few iterations to get starting values for another estimation technique.
		numeric vector of coefficients of the Prony difference equation.
	www.statsci.org /s/pronyfre.html (292 words)

	Nandi et al.: Some comments on "Complex... (Site not responding. Last check: 2007-10-22)
		It is assumed that the complex AM model has additive errors, which are independent and identically distributed.
		They provided an efficient estimation procedure of the unknown parameters using Prony's equation.
		We re-analyze both the data sets and it is observed that the error assumptions may not be correct in either of them.
	www.statlab.uni-heidelberg.de /people/nandi/abstract2.html (196 words)

	Infoplease Search: prony equation
		(Encyclopedia) equation, in mathematics, a statement, usually written in symbols, that states the equality of two...
		(Encyclopedia) Methodology for Writing an Equation There are three steps involved in writing a chemical equation.
		(Encyclopedia) Additional Symbols Used in Chemical Equations There are a number of other symbols used in chemical...
	www.infoplease.com /search?fr=iptn&query=Prony+equation&in=all (119 words)

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