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Paolo Ruffini (mathematician)
Paolo Ruffini (22 September 1765 – 10 May 1822) was an Italian mathematician and philosopher. Education and career By 1788 he had earned university degrees in philosophy, medicine/surgery and mathematics. His works include developments in algebra: * an List of incomplete proofs, incomplete proof (Abel–Ruffini theorem) that Quintic function, quintic (and higher-order) equations cannot be solved by nth root, radicals (1799). Niels Henrik Abel, Abel would complete the proof in 1824. * Ruffini's rule, which is a quick method for Polynomial long division, polynomial division. * contributions to group theory. He also wrote on probability and the Squaring the circle, quadrature of the circle. He was a professor of mathematics at the University of Modena and Reggio Emilia, University of Modena and a medical doctor including scientific work on typhus. Group theory In 1799 Ruffini marked a major improvement for group theory, developing Joseph-Louis Lagrange's work on permutation t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Valentano
250px, View of Valentano. Valentano is a town and ''comune'' of the province of Viterbo, in the Lazio region of central Italy. It is from the provincial capital, Viterbo. left, 220px, Rocca Farnese in Valentano. The placename is of uncertain origin. Some identify the town with an Etruscan ''Verentum'', others trace the name to ''ontano'', Italian for alder, since alders cover the slopes of a nearby valley: ''Valle Ontano'' becoming ''Valentano''. History Antiquity and High Middle Ages The town is named for the first time in a manuscript of 813 in the Farfa Register; starting in 844 a "Balentanu" appears in other documents of the abbey of San Salvatore on Mt. Amiata. The land was definitely inhabited in prehistoric times, and important finds in the Lake Mezzano and near Mt. Becco, Mt. Saliette, the Poggi del Mulino and Mt. Starnina seem to confirm the theories of historians, who identify the lake with the Lake of Statonia (''Lacus Statoniensis'') described by Seneca in his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Niels Henrik Abel
Niels Henrik Abel ( , ; 5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields. His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals. This question was one of the outstanding open problems of his day, and had been unresolved for over 250 years. He was also an innovator in the field of elliptic functions and the discoverer of Abelian functions. He made his discoveries while living in poverty and died at the age of 26 from tuberculosis. Most of his work was done in six or seven years of his working life. Regarding Abel, the French mathematician Charles Hermite said: "Abel has left mathematicians enough to keep them busy for five hundred years." Another French mathematician, Adrien-Marie Legendre, said: "What a head the young Norwegian has!" Life Early life Niels Henrik Abel was born prematurely in Nedstrand, Norway, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1765 Births
Events January–March * January 23 – Prince Joseph of Austria marries Princess Maria Josepha of Bavaria in Vienna. * January 29 – One week before his death, Mir Jafar, who had been enthroned as the Nawab of Bengal and ruler of the Bengali people with the support and protection of the British East India Company, abdicates in favor of his 18-year-old son, Najmuddin Ali Khan. * February 8 **Frederick the Great, the King of Prussia, issues a decree abolishing the historic punishments against unmarried women in Germany for "sex crimes", particularly the ''Hurenstrafen'' (literally "whore shaming") practices of public humiliation. ** Isaac Barré, a member of the British House of Commons for Wycombe and a veteran of the French and Indian War in the British American colonies, coins the term "Sons of Liberty" in a rebuttal to Charles Townshend's derisive description of the American colonists during the introduction of the proposed Stamp Act. Barré notes tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
8524 Paoloruffini
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85 may refer to: * 85 (number) * One of the years 85 BC, AD 85, 1985, 2085 * 85 Io, a main-belt asteroid See also * * List of highways numbered All lists of highways beginning with a number. {{List of highways numbered index Lists of transport lists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ruffini - Teoria Generale Delle Equazioni, 1799 - 1366896
Ruffini is an Italian surname. Notable people with the surname include: *Angelo Ruffini (1864–1929), Italian histologist and embryologist * Attilio Ruffini (1924–2011), Italian politician * Ernesto Ruffini (1888–1967), Archbishop of Palermo * Frederick Ernst Ruffini (1851-1885), American architect * Giovanni Ruffini (1807–1881), Italian poet and librettist * Giulano Ruffini (born 1945), French art collector *Giuseppe or Joseph Ruffini (1690–1749), Italian-Austrian painter * Luca Ruffini (born 1997), Italian footballer * Oscar Ruffini (1858-1957), American architect *Paolo Ruffini (mathematician) (1765–1822), Italian mathematician and philosopher *Paolo Ruffini (actor) (born 1978), Italian actor and presenter * Patrick Ruffini, political pollster and strategist * Sandro Ruffini (1889–1954), Italian actor and voice actor * Remo Ruffini (born 1942), French astrophysicist *Remo Ruffini (businessman) (born 1961), Italian billionaire businessman * Silvia Ruffini (1475–1561 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Évariste Galois
Évariste Galois (; ; 25 October 1811 – 31 May 1832) was a French mathematician and political activist. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by Nth root, radicals, thereby solving a problem that had been open for 350 years. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra. Galois was a staunch French Republicans under the Restoration, republican and was heavily involved in the political turmoil that surrounded the French Revolution of 1830. As a result of his political activism, he was arrested repeatedly, serving one jail sentence of several months. For reasons that remain obscure, shortly after his release from prison, Galois fought in a duel and died of the wounds he suffered. Life Early life Galois was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie (née Demante). His father was a First French Republi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gian Francesco Malfatti
Giovanni Francesco Giuseppe Malfatti, also known as Gian Francesco or Gianfrancesco (26 September 1731 – 9 October 1807) was an Italian mathematician. He was born in Ala, Trentino, Holy Roman Empire and died in Ferrara. Malfatti studied at the College of San Francesco Saverio in Bologna where his mentors included Vincenzo Riccati, Laura Bassi, F. M. Zanotti and Gabriele Manfredi. He moved to Ferrara in 1754 and became a professor at the University of Ferrara when it was re-established in 1771. In 1782 he was one of the founders of the '' Società Italiana delle Scienze'', founded by Antonio Maria Lorgna, later to become the Accademia nazionale delle scienze detta dei XL. Contributions to mathematics In 1803, Malfatti posed the problem of carving three circular columns out of a triangular block of marble, using as much of the marble as possible, and conjectured that three mutually tangent circles inscribed within the triangle would provide the optimal solution. These t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quartic Function
In algebra, a quartic function is a function (mathematics), function of the form :f(x)=ax^4+bx^3+cx^2+dx+e, where ''a'' is nonzero, which is defined by a polynomial of Degree of a polynomial, degree four, called a quartic polynomial. A ''quartic equation'', or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form :ax^4+bx^3+cx^2+dx+e=0 , where . The derivative of a quartic function is a cubic function. Sometimes the term biquadratic is used instead of ''quartic'', but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form :f(x)=ax^4+cx^2+e. Since a quartic function is defined by a polynomial of even degree, it has the same infinite limit when the argument goes to positive or negative infinity. If ''a'' is positive, then the function increases to positive infinity at both ends; and thus the function ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph-Louis Lagrange
Joseph-Louis Lagrange (born Giuseppe Luigi LagrangiaJoseph-Louis Lagrange, comte de l’Empire ''Encyclopædia Britannica'' or Giuseppe Ludovico De la Grange Tournier; 25 January 1736 – 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an Italian and naturalized French mathematician, physicist and astronomer. He made significant contributions to the fields of mathematical analysis, analysis, number theory, and both classical mechanics, classical and celestial mechanics. In 1766, on the recommendation of Leonhard Euler and Jean le Rond d'Alembert, d'Alembert, Lagrange succeeded Euler as the director of mathematics at the Prussian Academy of Sciences in Berlin, Prussia, where he stayed for over twenty y ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Typhus
Typhus, also known as typhus fever, is a group of infectious diseases that include epidemic typhus, scrub typhus, and murine typhus. Common symptoms include fever, headache, and a rash. Typically these begin one to two weeks after exposure. The diseases are caused by specific types of bacterial infection. Epidemic typhus is caused by '' Rickettsia prowazekii'' spread by body lice, scrub typhus is caused by '' Orientia tsutsugamushi'' spread by chiggers, and murine typhus is caused by '' Rickettsia typhi'' spread by fleas. Vaccines have been developed, but none is commercially available. Prevention is achieved by reducing exposure to the organisms that spread the disease. Treatment is with the antibiotic doxycycline. Epidemic typhus generally occurs in outbreaks when poor sanitary conditions and crowding are present. While once common, it is now rare. Scrub typhus occurs in Southeast Asia, Japan, and northern Australia. Murine typhus occurs in tropical and subtropi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Modena And Reggio Emilia
The University of Modena and Reggio Emilia (), located in Modena and Reggio Emilia, Emilia-Romagna, Italy, is one of the oldest universities in Europe, founded in 1175, with a population of 20,000 students. The medieval university disappeared by 1338 and was replaced by "three public lectureships" which did not award degrees and were suspended in the 1590s "for lack of money". The university was not reestablished in Modena until the 1680s and did not receive an imperial charter until 1685.Quoted from: Grenler, Paul F. The Universities of the Italian Renaissance Johns Hopkins University Press, 2004. Page 137. Some famous students who attended the university include Ludovico Antonio Muratori, a noted Italian historian and scholar who graduated in 1694, the playwright Carlo Goldoni in the 17th century and, in the last century, Sandro Pertini, who became President of the Italian Republic. Brief History The University of Modena dates back to 1175, a few decades after the birth of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Squaring The Circle
Squaring the circle is a problem in geometry first proposed in Greek mathematics. It is the challenge of constructing a square (geometry), square with the area of a circle, area of a given circle by using only a finite number of steps with a compass and straightedge. The difficulty of the problem raised the question of whether specified axioms of Euclidean geometry concerning the existence of Line (geometry), lines and circles implied the existence of such a square. In 1882, the task was proven to be impossible, as a consequence of the Lindemann–Weierstrass theorem, which proves that pi (\pi) is a transcendental number. That is, \pi is not the zero of a function, root of any polynomial with Rational number, rational coefficients. It had been known for decades that the construction would be impossible if \pi were transcendental, but that fact was not proven until 1882. Approximate constructions with any given non-perfect accuracy exist, and many such constructions have been f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
