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Pietro Abbati
Pietro Abbati Marescotti (1 September 1768 – 7 May 1842) was an Italian mathematician who taught in Modena.Abbati Marescotti, Pietro , Vol. I, 1960, retrieved 2014-06-27. Biography Born in , Pietro Abbati descended from a 16th-century noble family who were related to the Marescotti local family. In acknowledgment of his mathematical and artistic distinction, and in return for his services managing the water and street systems of Modena, Abbati was p ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modena
Modena (, , ; egl, label=Emilian language#Dialects, Modenese, Mòdna ; ett, Mutna; la, Mutina) is a city and ''comune'' (municipality) on the south side of the Po Valley, in the Province of Modena in the Emilia-Romagna region of northern Italy. A town, and seat of an archbishop, it is known for its car industry since the factories of the famous Italian upper-class sports car makers Ferrari, De Tomaso, Lamborghini, Pagani (automobile), Pagani and Maserati are, or were, located here and all, except Lamborghini, have headquarters in the city or nearby. One of Ferrari's cars, the Ferrari 360, 360 Modena, was named after the town itself. Ferrari's production plant and Formula One team Scuderia Ferrari are based in Maranello south of the city. The University of Modena, founded in 1175 and expanded by Francesco II d'Este in 1686, focuses on economics, medicine and law, and is the second oldest :wikt:athenaeum, athenaeum in Italy. Italian military officers are trained at the Milit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dizionario Biografico Degli Italiani
The ''Dizionario Biografico degli Italiani'' ( en, Biographical Dictionary of the Italians) is a biographical dictionary published by the Istituto dell'Enciclopedia Italiana, started in 1925 and completed in 2020. It includes about 40,000 biographies of distinguished Italians. The entries are signed by their authors and provide a rich bibliography. History The work was conceived in 1925, to follow the model of similar works such as the German ''Allgemeine Deutsche Biographie'' (1912, 56 volumes) or the British '' Dictionary of National Biography'' (from 2004 the ''Oxford Dictionary of National Biography''; 60 volumes). It is planned to include biographical entries on Italians who deserve to be preserved in history and who lived at any time during the long period from the fall of the Western Roman Empire to the present. As director of the Treccani, Giovanni Gentile entrusted the task of coordinating the work of drafting to Fortunato Pintor, who was soon joined by Arsenio Frugoni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paolo Ruffini (mathematician)
Paolo Ruffini (Valentano, 22 September 1765 – Modena, 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 incomplete proof (Abel–Ruffini theorem) that quintic (and higher-order) equations cannot be solved by radicals (1799), * Ruffini's rule which is a quick method for polynomial division, * contributions to group theory. He also wrote on probability and the quadrature of the circle. He was a professor of mathematics at the 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 theory ("Réflexions sur la théorie algébrique des équations", 1770–1771). Lagrange's work was largely ignored until Ruffini established strong connections between permutat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Francis IV, Duke Of Modena
Francis IV Joseph Charles Ambrose Stanislaus (Italian: ''Francesco IV Giuseppe Carlo Ambrogio Stanislao d'Asburgo-Este''; 6 October 1779 – 21 January 1846) was Duke of Modena, Reggio, and Mirandola (from 1815), Duke of Massa and Prince of Carrara (from 1829), Archduke of Austria-Este, Royal Prince of Hungary and Bohemia, Knight of the Order of the Golden Fleece. Biography Francis was born in Milan. His father was Ferdinand Karl, Archduke of Austria-Este and Duke of Breisgau, his mother Maria Beatrice d'Este, Duchess of Massa and Princess of Carrara, who was the last descendant of the House of Este and, through her mother, of the House of Cybo-Malaspina. He was a grandson of Maria Theresa of Austria, head of the House of Habsburg, and was heir to the Este states through his father, who had been invested with the succession in the imperial fies of the Este by the Perpetual Imperial Diet in 1771, just before his marriage to Maria Beatrice, although he could never actually asce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Accademia Nazionale Delle Scienze Detta Dei XL
The Accademia Nazionale delle Scienze (), or more formally L'Accademia Nazionale delle Scienze detta dei XL, and also called the Accademia dei XL (), is Italy's national academy of science. Its offices are located within the Villino Rosso, at the corner of via L. Spallanzani and via Siracusa, Villa Torlonia, Rome. The academy promotes progress in mathematics, physics, and natural sciences; organizes meetings; publishes journals; establishes consultative committees for governmental agencies; and awards scientific prizes. The academy contains 40 fellows and a variable number of "fellows in excess" who are age 70 and above, and who have been fellows for at least five years. It also contains 25 foreign members. History The academy was founded in 1782 in Verona as the Società Italiana, comprising 40 scientists from various parts of Italy. The idea of forming an academy comprising the leading Italian scientists was put forward in 1766 by the mathematician Antonio Maria Lorgna. By 178 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diophantine Equation
In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, such that the only solutions of interest are the integer ones. A linear Diophantine equation equates to a constant the sum of two or more monomials, each of degree one. An exponential Diophantine equation is one in which unknowns can appear in exponents. Diophantine problems have fewer equations than unknowns and involve finding integers that solve simultaneously all equations. As such systems of equations define algebraic curves, algebraic surfaces, or, more generally, algebraic sets, their study is a part of algebraic geometry that is called ''Diophantine geometry''. The word ''Diophantine'' refers to the Hellenistic mathematician of the 3rd century, Diophantus of Alexandria, who made a study of such equations and was one of the first mathematicians to introduce symbolism into algebra. The mathematical study of Diophantine problems that Di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quartic Function
In algebra, a quartic function is a 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 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 has a global minimum. Likewise, if ''a'' is nega ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quintic Equation
In algebra, a quintic function is a function of the form :g(x)=ax^5+bx^4+cx^3+dx^2+ex+f,\, where , , , , and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero. In other words, a quintic function is defined by a polynomial of degree five. Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess one additional local maximum and one additional local minimum. The derivative of a quintic function is a quartic function. Setting and assuming produces a quintic equation of the form: :ax^5+bx^4+cx^3+dx^2+ex+f=0.\, Solving quintic equations in terms of radicals (''n''th roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved, until the first half of the 19th century, when the impossibility of such a general solution was proved with the Abel–Ruffini theorem. Finding roots of a quintic equa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lagrange Multipliers
In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables). It is named after the mathematician Joseph-Louis Lagrange. The basic idea is to convert a constrained problem into a form such that the derivative test of an unconstrained problem can still be applied. The relationship between the gradient of the function and gradients of the constraints rather naturally leads to a reformulation of the original problem, known as the Lagrangian function. The method can be summarized as follows: in order to find the maximum or minimum of a function f(x) subjected to the equality constraint g(x) = 0, form the Lagrangian function :\mathcal(x, \lambda) = f(x) + \lambda g(x) and find the stationary points of \mathcal considered as a function of x and the Lagrange mu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Estense Library
The Biblioteca Estense ('' Estense Library''), was the family library of the marquis and dukes of Este. The exact date of the library's birth is still under speculation, however it is known for certain that the library was in use during the fourteenth century. Whilst it was greatly enriched during the Renaissance years in Ferrara, the library was concretely established in Modena in the beginning of the seventeenth century. It is known as one of the most important libraries in Italy. The library is located, along with the Galleria Estense directly below its collection of artworks, in the Palazzo dei Musei (Piazza Sant'Agostino 337) in Modena. History On the ascension of the Marquis Niccolò III d'Este to the Ferrarese duchy in 1393, he inherited an important humanistic library, rich in works of literary, historical and artistic content. Its collection grew considerably during the Renaissance period with manuscripts and printed editions considered today to be of fundamental value, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
