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Topic: Del Ferro method

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	[No title]
		There was this article about the Dutch Del Ferro method, which is supposed to be the cure for stammering.
		The Del Ferro method is based on a simple breathing technique combined with emotional pressure.
		After the "successful" Del Ferro course everyone thought I was cured: this was what they had seen on television.
	members.lycos.co.uk /flyg/zoetelief.htm (590 words)

	Scipione del Ferro (Site not responding. Last check: 2007-10-21)
		Floriano Ferro was employed in paper making which, because of the invention of printing in the 1450s, became an important trade at this time due naturally to a vastly increased demand for paper.
		Of Scipione del Ferro's education little is known but it is probable that it was at the University of Bologna which was founded in the 11th century and so was a long established and famous university four hundred years before del Ferro was born.
		We know that del Ferro was appointed as a lecturer in arithmetic and geometry at the University of Bologna in 1496 and that he retained this post for the rest of his life.
	hem.passagen.se /ceem/scipione.htm (1201 words)

	Scipione del Ferro - Wikipedia, the free encyclopedia
		Scipione del Ferro was born on in Bologna, in the central North of Italy, where he also died on November 5, 1526, to Floriano and Filippa Ferro.
		At del Ferro's death in 1526, this notebook was inherited by Hannival Nave.
		Del Ferro also did other important contributions to the rationalisation of fractions, extended the methods known for denominators with square roots to denominators with sumes of three cube roots.
	en.wikipedia.org /wiki/Scipione_del_Ferro (499 words)

	cardano
		Del Ferro is able to solve the "depressed cubic", that is a cubic equation that has no square term.
		The solution of the cubic equation is kept secret by del Ferro so that he has it to use in case his position is ever challenged.
		The solution of the cubic is told to Antonio Fior a student of del Ferro on del Ferro's death bed [2 pp 134-136].
	muskingum.edu /~rdaquila/m370/cardano.html (1095 words)

	E-Ren: Student Projects
		The method of multiplication and division was not standardized as it is today until the seventeenth century.
		The principle of this method was to transform a cubic into a quadratic equation because the formula for solving a quadratic equation was already found.
		He invented a method for finding one side of a triangle when the other sides and angles are given.
	www.idbsu.edu /courses/hy309/projects/math.html (3138 words)

	Ferro biography
		The outstanding problem which del Ferro solved was to find a formula to solve a cubic equation similar to the formula which had been known since the time of the Babylonians for solving
		There has been much conjecture as to whether del Ferro came to work on the solution to cubic equations as a result of a visit which Pacioli made to Bologna.
		The subsequent developments in the story of the solution of the cubic, namely the contest in 1535 between Antonio Maria Fior (a student of del Ferro) and Tartaglia, then the involvement of Cardan, are told in detail in our biographies of Tartaglia and of Cardan.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Ferro.html (1255 words)

	Il ferro battuto N°27 - Di Baio Editore - www.dibaio.com
		Ornature tramite griglie di ferro, al di fuori dell’Italia, acquistano una sfumatura tutta particolare in contrasto alla concezione più plastica e fisica dei lavori in ferro ritrovabili tra gli italiani stessi.
		Le lanterne in ferro battuto sulle facciate del palazzo non sono state disegnate e sviluppate in modo diverso da queste altre lanterne, montate al di sopra delle cupole circolari o poligonali.
		Sportello tedesco del XV secolo con griglia a modulo quadrato e lunetta decorata da una rosa a spirale gotica.
	www.dibaio.com /ilferrobattuto/ilferrobattuto027/FB-027-18.htm (4002 words)

	Galois
		Methods for solving quadratic equation were known to many ancient peoples, including the Babylonian, Chinese and Hindu civilizations.
		After much struggle, Scipio del Ferro (1465 -- 1526) found a formula for solutions of the cubic equation.
		e.g., the method of bisection and Newton's method.
	www.math.utah.edu /lab/math/history/galois.html (175 words)

	Scipione del Ferro (via CobWeb/3.1 pl2.cs.utk.edu) (Site not responding. Last check: 2007-10-21)
		In one sense he is well known, for his role in solving cubic equations is explained in almost every general work on the history of mathematics ever written, and yet, surprisingly, his name remains relatively unknown.
		Now the story that Fior was the only person to whom del Ferro divulged his solution is common in most histories of mathematics, yet it is false.
		We also know that del Ferro worked on another problem which was popular in his time, namely examining which geometrical problems could be solved with a compass set in a fixed position.
	hem.passagen.se.cob-web.org:8888 /ceem/scipione.htm (1201 words)

	Stuttering - Biocrawler (Site not responding. Last check: 2007-10-21)
		Breathing control is often emphasized, notably with the del Ferro method, which focuses on proper control of the diaphragm.
		Proponents of this method see uncoordinated movements of the diaphragm as the core cause of stuttering.
		The use of medication that affects brain functions has also had limited success in increasing fluency, although it is usually used in conjunction with behavioral and cognitive therapy and may have side effects that limit its long-term usefulness.
	www.biocrawler.com /encyclopedia/Stammering (5699 words)

	The Del Ferro method - British Stammering Association
		The Del Ferro method is based on diaphragmatic breathing, and participants were told at the outset that stammering "is nothing in your brains.
		Before the course, Christine described how she was "feeling trapped within myself and not able to express how I was feeling." The TV programme followed her introduction to the method and the first day of the course.
		At the end of the watchdog report, Christine spoke with complete fluency in the presence of her partner Graham who, as the headline states, was pleased that she would 'allow others to hear her beautiful voice'.
	www.stammering.org /ferro.html (593 words)

	Niccolo Fontana (Tartaglia) (Site not responding. Last check: 2007-10-21)
		The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
		He agreed to tell Cardano his method, if Cardano would swear never to reveal it and furthermore, to only ever write it down in code so that on his death, nobody would discover the secret from his papers.
		Del Ferro and Tartaglia are fully credited with their discoveries, as is Ferrari, and the whole story written down in the text.
	www.stetson.edu /~efriedma/periodictable/html/Ta.html (595 words)

	[No title]
		David demonstrated the method using the equation x^3+45x=98, instead of using a general c and d.
		He covered Scipione del Ferro, Antonio Fiore, Niccolo Tartaglia, who wrote Libre de Ludo Aleae, and Gerolamo Cardano - the guy who committed suicide in order to be correct in his prediction of his own death.
		Gerolamo Cardano (who was our mathematician of the day on September 24, 1996), found that del Ferro and Tartaglia had the same solution, and to this day, the formula to the cubic equation is known as Cardano's formula.
	public.csusm.edu /DJBarskyWebs/330CollageOct17.html (1768 words)

	Algebra - MSN Encarta
		A faster method of solving simultaneous equations is to multiply both sides of one equation by a number that will give one of the unknown terms the same coefficient as it has in the other equation.
		Early in the 16th century, Italian mathematicians Scipione del Ferro, Niccolò Tartaglia, and Gerolamo Cardano found a general solution for cubic equations.
		Cardano's pupil, Ludovico Ferrari, soon found an exact solution to equations of the fourth degree, and as a result, mathematicians for the next several centuries tried to find a formula for the roots of equations of degree five and higher.
	encarta.msn.com /encyclopedia_761552816_5/Algebra.html (1174 words)

	The Cubic - Page One
		Scipione del Ferro (1465-1526) held the Chair of Arithmetic and Geometry at the University of Bologna.
		However, without the Hindu's knowledge of negative numbers, dal Ferro would not have been able to use his solution of the one case to solve all cubic equations.
		Remarkably, dal Ferro solved this cubic equation around 1515 but kept his work a complete secret until just before his death, in 1526, when he revealed his method to his student Antonio Fior.
	www.vimagic.de /hope/3 (242 words)

	Del Ferro Instituut
		Ingrid Del Ferro, directeur van het Del Ferro Instituut, is van mening dat wereldstotterdag op 22 oktober eigenlijk niet nodig zou moeten zijn: "Stotteren is te genezen", stelt Del Ferro.
		Ingrid Del Ferro is dochter van de beroemde tenor Leonard Del Ferro.
		"Het unieke van onze methode is dat we ervan uitgaan dat je wel dégelijk van je stotteren af kunt komen en vloeiend kunt leren spreken.
	www.delferro.nl (920 words)

	A Short History
		Newton introduces his iterative method for the numerical approximation of roots.
		Lagrange shows that polynomials of degree five or more cannot be solved by the methods used for quadratics, cubics, and quartics.
		Pafnuti Chebyshev (1821-1894) generalizes Newton's method to make the convergence arbitrarily fast and uses this to approximate the roots of polynomials.
	library.wolfram.com /examples/quintic/timeline.html (1628 words)

	Breast tissue engineering (US5716404) (Site not responding. Last check: 2007-10-21)
		Methods and compositions are described herein for reconstruction or augmentation of breast tissue.
		Method of jawbone abutment implant for dental prostheses and implant device
		Method of preserving organ and apparatus for preserving the same
	www.delphion.com /details?pn10=US05716404 (741 words)

	Del Ferro method - Wikipedia, the free encyclopedia
		The Del Ferro method to combat stuttering focuses on teaching voluntary control over the diaphragm.
		Proponents of the method hold that uncoordinated movements of the diaphragm are the core cause of stuttering.
		The method was developed by the American opera singer Leonard Del Ferro, who settled in Amsterdam and founded the Del Ferro Institute there in 1978.
	en.wikipedia.org /wiki/Del_Ferro_method (138 words)

	Tartaglia
		The first person known to have solved cubic equations algebraically was del Ferro.
		On his deathbed del Ferro passed on the secret to his (rather poor) student Fior.
		The method was, however, published by Cardan in Ars Magna in 1545.
	library.wolfram.com /examples/quintic/people/Tartaglia.html (276 words)

	Del Ferro Instituut
		Het Del Ferro Instituut is 26 juni niet bereikbaar vanwege het trouwen van Ingrid Del Ferro.
		Met de methode die Leonard Del Ferro ontwikkelde, ontstond het Del Ferro Instituut, dat tegenwoordig geleid wordt door dochter Ingrid Del Ferro.
		Del Ferro Instituut op TV Hier kunt u een stukje uit de live uitzending van Lijn 4 bekijken met Niels Huisman.
	www.delferro-methode.de (920 words)

	Del Ferro Institute (Site not responding. Last check: 2007-10-21)
		De Del Ferro Methode is niet gericht op acceptatie van het stotteren maar op het definitief oplossen van stotteren.
		Ever since the Del Ferro Institute was founded in 1978, the teaching team has been able to help thousands of people from the Netherlands and abroad stop stuttering.
		The results of the Del Ferro Method are audible after attending one class.
	www.delferro.nl /uk/1001 (167 words)

	Phenomenon of Science: Chap. 11
		The Method of Archimedes was lost sight of and the problem of integration remained where it was, until it was attacked new in the seventeenth century.
		All the methods known previously fall into place in a harmonious system, new methods open up, new equations and whole classes of equations come under consideration (the law of branching growth of the penultimate level), and new concepts appear which have absolutely no meaning within arithmetic proper: negative, irrational, and imaginary numbers.
		But del Ferro kept it secret, because it was very valuable in the problem-solving competitions which were held in Italy at that time.
	pespmc1.vub.ac.be /POS/Turchap11.html (6499 words)

	Baylor Health Care System: Colon cancer in patients 40 years old or younger
		Survival curves were obtained with the Kaplan-Meier method, and significance was analyzed with the log-rank test.
		As with most reports of survival rates for patients with colorectal cancer, patients 40 years of age or younger with this disease appear to have 5-year survival rates that are similar to those of patients with colorectal cancer who are older than 40 (2, 3, 6, 10, 11).
		Cascinu S, Del Ferro E, Grianti C, Ligi M, Catalano G: S-phase fraction and tumor aneuploidy in colorectal carcinoma of young patients.
	www.baylorhealth.edu /proceedings/11_4/11_4_farner.html (1509 words)

	Milestones in MathematicsHistory
		Heron is given credit for inventing one of the most efficient methods for calculating square roots, although his method may actually have been used centuries earlier by the Babylonians.
		del Ferro (Italian) solves one special type of cubic equation algebraically.
		Fermat is also credited with developing a method of integration that is very close to the modern definition.
	www.cs.wustl.edu /~qingfeng/misc/mathhist.html (1437 words)

	Del Ferro Institute (Site not responding. Last check: 2007-10-21)
		Ever since 1992 Ingrid Del Ferro, for years Leonard Del Ferro’s proverbial right hand, has been in charge of the institute.
		Ingrid Del Ferro has frequently been interviewed in the press and on television about the Del Ferro Method.
		Ingrid Del Ferro is proud to be able to continue the work her father was so dedicated to.
	www.delferro.nl /uk/1401 (150 words)

	Ferro (print-only)
		The outstanding problem which del Ferro solved was to find a formula to solve a cubic equation similar to the formula which had been known since the time of the Babylonians for solving quadratic equations.
		However Crossley in [3] believes that the evidence from the Bolognetti manuscript adds weight to the belief that del Ferro solved only one case.
		We know a little about other work by del Ferro.
	www-groups.dcs.st-and.ac.uk /history/Printonly/Ferro.html (1210 words)

	The Origin of Complex Numbers
		The procedure was also independently discovered some 30 years earlier by Scipione del Ferro of Bologna.
		Ferro and Tartaglia showed that one of the solutions to the depressed cubic equation is
		Thus, as it is with many new mathematical or scientific innovations, the theory of complex numbers evolved by way of a very intricate process.
	math.fullerton.edu /mathews/n2003/ComplexNumberOrigin.html (1569 words)

	Anxiety Zone - Stuttering
		Breathing control is often paid some of the most attention, notably with the del Ferro method, which focuses on proper control of the diaphragm.
		Also, efforts are made to increase confidence in the individual through repetition and positive feedback to help alleviate the anxiety and fear associated with speaking.
		The use of medication that affects brain functions has also had some limited success in increasing fluency, although it is usually taken in conjunction with behavioral and cognitive therapy and has side effects that sometimes make it difficult or impossible to take the medication for extended periods of time.
	www.anxietyzone.com /conditions/stuttering.html (5807 words)

	CATHOLIC ENCYCLOPEDIA: Nicolo Tartaglia
		B 1541, he had achieved the remarkable triumph of solving the cubic equation.
		In a mathematical contest with Antonio del Fiore, held in 1535, he had shown the superiority of his methods to the method previously obtained by Scipione del Ferro (d.
		by Gosselin, Paris, 1578); "Opere del Famosissimo Nicolò Tartaglia" (Venice, 1606); and an English translation, by Lucar in 1588, of his writings on gunnery.
	www.newadvent.org /cathen/14461c.htm (391 words)

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