21. Prony Estimation See the MacTutor biography of Baron gaspard Riche de prony. de prony, Barongaspard Riche (1795). Essai éxperimental et analytique sur les lois de la http://www.statsci.org/other/prony.html

Home Prony Estimation Estimation of sinusoid and exponential signals using eigen-analysis of covariance matrices. Table of Contents Introduction Least Squares Prony's Method Modified Prony Methods Real Exponential Fitting Frequency Estimation Articles Software Links Introduction Note that you need the symbol font installed on your browser to read the mathematical equations below correctly Many functions, used to model physical systems in engineering or physics, arise as the solution to a homogeneous differential equation. Let µ(t) be the concentration or intensity of the physical process at time t. It is often the case that there are physical reasons for supposing that µ(t) satisfies a differential equation like S p+1 x k D k-1 µ(t) = for all t k=1 where D is the differential operator and the x k are unknown coefficients. A typical solution to (1) is a sum of exponential functions (2) µ(t) = S p a j exp( b j t) j=1 where the b j are rate constants (usually negative) and the a j are amplitudes. Such a solution is appropriate for a transient system which dies to zero as time goes on, such as the concentration of an intermediary compound in a chemical reaction. Another typical solution to (1) is a sum of sinusoids (3) µ(t) = S p/2 a j sin( b j t + f j j=1 Such a solution is persistent and periodic, and is appropriate for electrical or physical systems driven by persistent regular oscillating forces. Signals in speech recognition are often of this type. A third common solution is the damped sinusoid

22. AIP Niels Bohr Library de prony. by prony, gaspard-Clair-François-Marie Riche, baron de, 1755-1839. http://www.aip.org/history/catalog/20463.html

If you are not immediately redirected, please click here My List - Help Browse Books Archival Resources Archival Finding Aids Photos Browse FAQs Past Searches History Home Search: Author Subject Title Journal/Newspaper Title Series Computer File (Software) Title Video Title Refine Search AIP Niels Bohr Library Item Information Holdings More by this author Subjects Mechanics, Analytic. Browse Catalog by author: by title: MARC Display by Call Number: (Z)N8 PRO Description: 2 v. diagrs. on 4 fold. pl. 27 cm. Source of Acquisition: Gift of Dr. and Mrs. Nicholas Chako. Contents: Copy/Holding information Location Collection Call No. Status Niels Bohr Library Books Special Collections (Z)N8 PRO In NBL Format: HTML Plain text Delimited Subject: Email to: Horizon Information Portal 3.0 Dynix

23. Gaspard-Gustave Coriolis Gaspard-gustave Rotating Des Sciences See also prony equation. External link P, gaspard de la nuitgaspard de la nuitTrois Poemes pour Piano d apres Aloysius Bertrand is a piece for solo piano http://www.economicexpert.com/a/Gaspard:Gustave:Coriolis.html

var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... Home Gaspard-Gustave de Coriolis May 21 September 19 French engineer and scientist . His interest in the dynamics of rotating machines led him to derive the differential equation s of motion from the point of view of a coordinate system which is itself rotating, which he first presented in to the Académie des Sciences. Due to the importance of this work, the Coriolis effect is named for him. He is sometimes referred to as Gustave-Gaspard Coriolis Gustave Coriolis and variations thereof. Coriolis, Gaspard-Gustave Coriolis, Gaspard-Gustave Topics: Gaspard-Gustave Coriolis Gaspard-gustave Rotating Des Sciences... Gaspard-Gustave Coriolis Gaspard-Gustave de Coriolis ( May 21 1792- September 19 1843), French engineer and scientist. His interest in the dynamics of rotating machines led him to derive the differential equations of motion from the point of view of a coordinate system which is i Gaspard Monge Gaspard Monge ( May 10, 1746 — July 28, 1818), was a French mathematician and inventor of descriptive geometry. He was born at Beaune. He was educated first at the college of the Oratorians at Beaune, and then in their college at Lyon where, at sixteen, t

24. Gaspar Corte-Real Corte-real Brother 1501 Portugal Southwards Gaspar de Portolá gaspard de Coligny gaspard de prony gaspard de la nuit Gaspar de Zuniga y Azevedo gaspard Bauhin http://www.economicexpert.com/a/Gaspar:Corte:Real.html

var GLB_RIS='http://www.economicexpert.com';var GLB_RIR='/cincshared/external';var GLB_MMS='http://www.economicexpert.com';var GLB_MIR='/site/image';GLB_MML='/'; document.write(''); document.write(''); document.write(''); document.write(''); A1('s',':','html'); Non User A B C ... Home Gaspar Corte-Real (around ) was a Portuguese explorer He was son of João Vaz Corte-Real . In Manuel I of Portugal sent him to discover lands and search for the Northwest Passage . He set out on a second voyage in 1501 with his brother Miguel Corte-Real . They are believed to have reached Labrador and Newfoundland where they captured around sixty native men. Gaspar then sent his brother and another ship accompanying them back to Portugal before continuing southwards. Nothing more was heard of him. His brother attempted to find him in 1502, but he too was lost. Corte-Real Corte-Real Corte-Real Topics: Gaspar Corte-Real Corte-real Brother 1501 Portugal Southwards... Gasparo Contarini Gasparo Contarini was an Italian diplomat and cardinal; born at Venice on October 16, 1483, died at Bologna on August 24, 1542. After a thorough scientific and philosophical training, he began his career in the service of his native city. In 1521 he was t Gaspard-Gustave Coriolis Gaspard-Gustave de Coriolis ( May 21 1792- September 19 1843), French engineer and scientist. His interest in the dynamics of rotating machines led him to derive the differential equations of motion from the point of view of a coordinate system which is i

25. Bokklubben » A Career Biography Of Gaspard Clair Francois Marie It describes the life and work of gaspard de prony and presents selections (in Omtalt prony, gaspard Clair Francois Marie Rich de. Legg til anmeldelse http://www.bokklubben.no/SamboWeb/produkt.do?produktId=1186625

26. ENPC - ECOLE DES PONTS - The Ecole Des Ponts In The XIXth Century Driving wheel drawn by gaspard Riche de prony © Coll. Ecole nationale des Pontset Chaussées DG 1299, Enlarging of the port of Havre, http://www.enpc.fr/english/enpc/history2.htm

The Ecole des Ponts in the XIXth Century The challenge of scientific and technical advance The French Revolution was not without danger to the very existence of the School: the Ecole des Ponts was finally able to continue its work, but only after numerous changes. Entry became open to students from the whole of France, recruitment was by competitive examination, tuition was free, and students received a fixed stipend. From 1794, the year of the creation of the Ecole Polytechnique, the education of students at Ponts was to undergo change under the influence of a number of scholars, engineers, and political figures who were not happy with the working methods instituted by Jean-Rodolphe Perronet. Driving wheel drawn by Gaspard Riche de Prony Enlarging of the port of Havre, project by Louis-Alexandre Cessart in 1781 Photography of the engineer Augustin Cauchy ENPC was to develop under the strong leadership of de Prony, ENPC Director for 41 years (1798 - 1839), and his successors. Under his leadership, Engineering education, based on a broad scientific curriculum was instituted. It is still in place today. The first laboratory of the School, the oldest civil engineering laboratory in the world, was created in 1831. The first issue of the "Annals of Ponts et Chaussées" was published the same year.

27. Prony Equation -- Facts, Info, And Encyclopedia Article The prony equation is a historically important equation in (Study of the (Click link for more info and facts about gaspard de prony) gaspard de prony in http://www.absoluteastronomy.com/encyclopedia/P/Pr/Prony_equation.htm

Prony equation [Categories: Equations, Fluid dynamics] 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 where h f is the head loss due to friction, calculated from: the ratio of the length to (The length of a straight line passing through the center of a circle and connecting two points on the circumference) diameter of the pipe L/D , the velocity of the flow V , and two empirical factors a and b to account for friction. 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.

28. Math Lessons - Gaspard De Prony Math Lessons gaspard de prony. gaspard de prony. gaspard Clair FrançoisMarie Riche de prony (July 22, 1755 - July 29, 1839) was a French http://www.mathdaily.com/lessons/Gaspard_de_Prony

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... 1839 deaths Gaspard de Prony Gaspard Clair François Marie Riche de Prony July 22 July 29 ) was a French mathematician and engineer , who worked on hydraulics He was Engineer-in-Chief of the École Nationale des Ponts et Chaussées See also: Prony equation External link Gaspard de Prony Categories 1755 births 1839 deaths Last updated: 08-31-2005 16:55:41 algebra arithmetic calculus equations ... mathematicians

29. A Career Biography Of Gaspard Clair Francois Marie Riche De Prony, Bridge-Builde A Career Biography of gaspard Clair Francois Marie Riche de prony, BridgeBuilder,Educator and Scientist only $121.16, get the A Career Biography of http://www.bestprices.com/cgi-bin/vlink/077348485XBT.html

Username: Password : New Account Search Books Music DVD's VHS's Movies Games All Power Search Customer Service SupportDesk Order Status (..More..) Join The Book List! Browse Book Genres Antiques Architecture Art Biographies ... Travel A Career Biography of Gaspard Clair Francois Marie Riche De Prony, Bridge-Builder, Educator and Scientist New Hardcover Issue Subtitle: Author: Margaret Bradley Publisher: Edwin Mellen Pr Our Price: Out Of Stock (Notify me when it comes in!) Part Number: 077348485XBT Release: 02/01/1998 Please Note: This item is a special order item that is not normally stocked. You can still place an order for this item and we will make an effort to restock and ship the item within 6 weeks. Other books by Margaret Bradley: A Career Biography of Gaspard Clair Francois Marie Riche De Prony, Bridge-Builder, Educator and Scientist (Hardcover) No Regrets When I Listen for His Wisdom (Paperback) Home Browse DVD ... or Author

30. Building A Large Prony Brake The following sketch, (below) shows the simplicity of gaspard de prony s invention.In use, the stationary lever (D) is clamped around a rotating shaft (A) http://www.steamtraction.com/article-2003-01-01

September, 2005 Feature Article Classifieds Recent Articles Subscriptions ... Home Page Building a Large Prony Brake From Issue Vol.57, No.3 (Jan-Feb 2003) How Much Power Does That Engine Really Produce? A Working Prony Brake Provides the Answer Working Out Design Considerations and Initial Details: Part One of a Two Part Series By Bruce E. Babcock A Short History of the Prony Brake About three years ago, I built a small Prony brake to take to engine shows so people could see how small hit-and-miss gas engines perform working under a load. A Prony brake belted to an engine not only supplies a uniform load on the engine, it also measures the engine's horsepower output, and it demonstrates how horsepower was measured 100 years ago. Running my small Prony brake, I noticed it wasn't just engine owners who were interested in the brake - many spectators stopped to examine the device, ask questions and watch it in operation. At the first show where I exhibited the brake, I recall an elderly gentleman proclaiming, "Now I know what they mean when they say 'brake' horsepower!" My small Prony brake is described in detail in "The Design, Construction and Use of a Small Prony Brake" in the July 2000 issue of Gas Engine Magazine . The concept of rating engines, water wheels and windmills in terms of horsepower dates back to the early 1700s, but it wasn't until the late 1700s that anyone made a real effort to determine just how many foot-pounds per minute a horse was capable of producing. Fittingly, it was James Watt, the father of the modern steam engine, who was the first person to make this determination. Watt was selling steam-pumping engines, and he needed a reliable way to calculate the output of his engines so potential customers would have an idea of their capacity. Watt studied mine ponies lifting coal at a coal mine, and he found that, on average, a mine pony could perform 22,000 foot-pounds of work every minute. Put another way, he found that a horse exerting one "horsepower" could lift 220 pounds of coal 100 feet in one minute.

31. Imago Mundi - Gaspard Prony. Translate this page prony (gaspard Clair François Marie, baron Riche de), ingénieur et mathématicienné à Chamelet (Rhône) le 22 juillet 1755, mort à Asnières (Seine) le 28 http://www.cosmovisions.com/Prony.htm

Les gens Prony Louis-Philippe (L. S.). A B C D ... Z

32. Gaspard-Marie Riche De Prony, Directeur Du Bureau Du Cadastre Translate this page Pour les besoins du cadastre, le Baron gaspard de prony a produit un jeu completde tables trigonométriques dans le nouveau système métrique. http://perso.wanadoo.fr/cadastre/prony.htm

GASPARD-MARIE RICHE DE PRONY, DIRECTEUR DU BUREAU DU CADASTRE Le premier directeur du bureau du Cadastre commission Jean-Baptiste DELAMBRE Bureau des Longitudes ... Jean-Jacques Lequeu, dessinateur au bureau du Cadastre entre 1793 et 1801. Vers le haut

33. Le Bureau Du Cadastre Translate this page gaspard-Marie RICHE de prony. Le premier directeur du bureau du Cadastre, nomméle 5 octobre 1791, est le baron gaspard-Marie RICHE de prony (1755-1839), http://perso.wanadoo.fr/cadastre/bureau.htm

LE BUREAU DU CADASTRE baron Gaspard-Marie RICHE de PRONY Jean-Jacques Lequeu, dessinateur. , l En ce qui concerne le cadastre, le baron de Prony a de vastes ambitions. Il propose un projet en 8 points : 4- Arpentage du terrain. 8- La population, " la proportion des morts par rapport aux naissances" , l'industrie, Gaspard MONGE Par un matrice cadastrale Dans la Constitution du 22 Frimaire an VIII Conseil d'Etat Vers le haut

34. Prony Analysis The prony method was developed by gaspard Riche, Baron de prony in 1795 in orderto explain the expansion of various gases (Marple 1987). http://www.engr.uconn.edu/~sas03013/pronytool/prony.html

Prony Toolbox Help: Prony Analysis Prony analysis has been shown to be a viable technique to model a linear sum of complex exponentials to signals that are uniformly sampled. The Prony method was developed by Gaspard Riche, Baron de Prony in 1795 in order to explain the expansion of various gases (Marple 1987). In his original paper, Prony proposed fitting a sum of exponentials to equally spaced data points and extended the model to interpolate at intermediate points. The Prony method is not only a signal analysis technique but also a system identification method, which is widely used in the areas of power system electromechanical oscillation, biomedical monitoring, radioactive decay, radar, sonar, geophysical sensing and speech processing. As compared to other oscillatory signal analysis techniques such as those of Fourier, Prony analysis has the advantage of estimating damping coefficients apart from frequency, phase and amplitude. In addition, it best fits a reduced-order model to a high-order system both in time and frequency domains (Marple 1987).

35. Gaspard François Clair Marie, Baron De PRONY http://www.annales.org/archives/x/prony.html

Gaspard François Clair Marie, Baron RICHE de PRONY (1755-1839) Ancien élève de l'Ecole des ponts et chaussées à Paris (promotion 1776). Inspecteur général des ponts et chaussées, directeur de l'Ecole des ponts et chaussées, membre de l'Académie des sciences. Extrait des Biographies des ingénieurs des Ponts et chaussées Né à Chamelet (Rhône) le 22 juillet 1755, il est entré à l'École des ponts et chaussées en 1776 et à partir de 1780 il a rempli les fonctions d'ingénieur ordinaire à Bourges, Argenton, Dourdan et Livry ; mais en 1783 il fut appelé à Paris par Perronet pour seconder de Chézy dans l'inspection de l'école. Il fut adjoint en même temps aux ingénieurs chargés de la construction des ponts de la Concorde et de Sainte-Maxence, sous les ordres de Demoustier, et rédigea son premier mémoire sur la poussée des voûtes à l'occasion du tassement survenu au pont de Neuilly au moment du décintrement. Il commença en 1790 la publication de l'Architecture hydraulique de Bélidor, qu'il termina en 1796. En 1791, Prony avait été nommé ingénieur en chef à Perpignan ; mais sur la proposition de

36. Darcy-Weisbach Equation History to the empirical prony equation (gaspard Clair Francois Marie Riche de prony, Darcy, (prony s student) in 1857 published new relations for the prony http://biosystems.okstate.edu/darcy/DarcyWeisbach/Darcy-WeisbachHistory.htm

Henry Darcy and His Law The History of the Darcy-Weisbach Equation Glenn Brown Oklahoma State University revised 2/21/02 Back to Henry Darcy Main Page What we call the Darcy-Weisbach equation has had a long history of development. It is named after two of the great hydraulic engineers of the middle 19th century, but others have also played a major role. Julies Weisbach (1806-1871) a native of Saxony, proposed in 1845 the equation we now use, h l = fL/D * V where hl is the head loss, L is the pipe length, D is the pipe diameter, V is the average velocity, g is the acceleration of gravity and f is a friction factor. However, he did not provide adequate data for the variation in f with velocity. Thus, his equation performed poorly compared to the empirical Prony equation (Gaspard Clair Francois Marie Riche de Prony, 1755-1839) in wide use at the time; h l = L/D * (aV + bV where a and b are empirical friction factors for the velocity and velocity squared. h l = L/D * [(c + d/D V + (d + e/D)V where c, d

37. Pre-Babbage Computing mathematical tablemaking project organized by Baron gaspard de prony. Babbage decided that rather than emulate de prony s labor-intensive and http://www.j-bradford-delong.net/OpEd/virtual/pre-Babbage_computing.html

Virtual Created: 1999-06-03 Last Modified: Go to Brad DeLong's Home Page Teaching Writing Career ... Feedback is always very welcome... Computing Before Charles Babbage from Martin Campbell-Kelly and William Aspray (1996), Computer: A History of the Information Age (New York: Basic Books: 0465029906). New Economy Master Page pp. 11-13: "... in 1819 Babbage made the first of several visits to Paris.... It was probably during this visit that Babbage learned of the great French [mathematical] table-making project organized by Baron Gaspard de Prony. This project would show Babbage a vision that would determine the future course of his life. "Du Prony began the project in 1790.... De Prony was... appointed head of the Bureau du Cadastre, the French ordnance survey office. His task was made more complex... by... the new, rational metric system. This created within the Bureau the job of making a complete new set of decimal tables to be known as the Tables du Cadastre. It was by far the largest table-making project the world had ever known, and de Prony decided to organize it much as one would organize a factory. "De Prony took as his starting point the most famous economics text of his day, Adam Smith's

38. Prony's Method out that prony (full name gaspard Clair Francois Marie Riche de prony whew! Apparently prony s method fits a series of damped exponential sine http://lc.cray.com/lc-users/msg00012.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Prony's Method To lc-users@maori.colorado.edu Subject : Prony's Method From root@maori.colorado.edu Date : Fri, 11 Dec 1998 17:22:40 -0700 (MST) Reply-To lc-users@maori.colorado.edu Sender owner-lc-users@maori.colorado.edu Pine.GSO.3.96.981208150116.18819A-100000@ucsub.Colorado.EDU Prev by Date: Web site change Next by Date: LC version 2.7 now available. Prev by thread: Web site change Next by thread: LC version 2.7 now available. Index(es): Date Thread

39. Straight Dope Staff Report: What's The Difference Between Horsepower And Torque? measured on a type of dynamometer called a “prony brake (sometimes incorrectlycalled a “pony brake”prony refers to the inventor, gaspard de prony) http://www.straightdope.com/mailbag/mhorsepower.html

Home Page Message Boards News Archive ... FAQs, etc. A Staff Report by the Straight Dope Science Advisory Board What's the difference between horsepower and torque? 19-Jul-2005 Dear Straight Dope: There is a question on the table that I would like to be able to answer before my friend can so that I can seem like the smart guy: What is the difference between an engine's horsepower and torque? Apparently, this is a question that neither reference manuals or mechanics can give a satisfactory answer to. If any genius in the world can get this straight, you can. Keith, Chicago Dear Straight Dope: I was looking to buy my first car and had a question come to mind. What is "horsepower"? How is it measured? I'm sure it has something to do with how much a horse could pull, not how many horses could be pulled. But what horse breed do they use, and what's it pulling? Charles Dixon, Charleston, South Carolina SDSTAFF Una replies: Measures of engine performance such as torque and horsepower are relatively simple, yet are often badly misunderstood by the public. Some of this misunderstanding is due to automobile advertising, some to people having just enough knowledge to be dangerous, and some to the continuing death-spiral of science education in America. I'll begin by explaining power vs. horsepower, then torque and how it is related to power. Finally I'll give examples of why knowing something about these concepts is important when comparing automobile engines. power , in the scientific sense of the term, just as the foot is a unit of measurement for length. Horsepower measures the same thing that the watt doesthe power that a device can create or consume. Just as the wattage of a light bulb tells you how much power it will use, the horsepower specification for an engine tells you how much power the engine can produce.

40. Biograpy Of Sophie Germain The members of the Institute included Poisson, gaspard de prony, and Laplace.The paper was ignore by the Institution but later found with de prony s papers http://www.andrews.edu/~calkins/math/biograph/199899/biogermn.htm

Back to the Table of Contents Biographies of Mathematicians - Sophie Germain Introduction Sophie Germain grew up with the revolutions. Not only the American and French Revolutions, but with the revolution in herself. She wanted to be seen as a great mathematician. It took a lot of hard work and going against her family, but she never gave up. She is recognized today for her great work, but credit for number theory, acoustics, and elasticity was never given in her lifetime because of one reason. She was a woman. Germain did great contributations to the Number Theory, acoustics and elasticity. Biography Sophie was not really interested in the study of mathematics until the age of 13 when the French Revolution started. She was confined to her home and spent all her time in her father's libraries. There she learned about the death of Archimedes. Legend was that Archimedes was so engrosed in studing mathematics that he didn't respond to a Roman soldier and was killed. This made Sophia interested, if a guy would die for mathematics than there must be much to learn and study. Thus began her road down the study of mathematics. It was the death of Archimedes that made her want to become a mathematician.

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