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Angelo Genocchi
Angelo Genocchi (5 March 1817 – 7 March 1889) was an Italian mathematician who specialized in number theory. He worked with Giuseppe Peano. The Genocchi number In mathematics, the Genocchi numbers G''n'', named after Angelo Genocchi, are a sequence of integers that satisfy the relation : \frac=\sum_^\infty G_n\frac The first few Genocchi numbers are 0, −1, −1, 0, 1, 0, −3, 0, 17 , se ...s are named after him. Genocchi was President of the Academy of Sciences of Turin. Notes References * Obituary in: * 19th-century Italian mathematicians 1817 births 1889 deaths {{Italy-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piacenza
Piacenza (; egl, label= Piacentino, Piaṡëinsa ; ) is a city and in the Emilia-Romagna region of northern Italy, and the capital of the eponymous province. As of 2022, Piacenza is the ninth largest city in the region by population, with over 102,000 inhabitants. Westernmost major city of the region of Emilia-Romagna, it has strong relations with Lombardy, with which it borders, and in particular with Milan. It was once defined by Leonardo da Vinci as "Land of passage", in his Codex Atlanticus, by virtue of its crucial geographical location. Piacenza integrates characteristics of the nearby Ligurian and Piedmontese territories added to a prevalent Lombard influence, favored by communications with the nearby metropolis, which attenuate its Emilian footprint. Piacenza is located at a major crossroads at the intersection of Route E35/A1 between Bologna and Milan, and Route E70/A21 between Brescia and Turin. Piacenza is also at the confluence of the Trebbia, draining the north ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Turin
Turin ( , Piedmontese language, Piedmontese: ; it, Torino ) is a city and an important business and cultural centre in Northern Italy. It is the capital city of Piedmont and of the Metropolitan City of Turin, and was the first Italian capital from 1861 to 1865. The city is mainly on the western bank of the Po (river), Po River, below its Susa Valley, and is surrounded by the western Alps, Alpine arch and Superga Hill. The population of the city proper is 847,287 (31 January 2022) while the population of the urban area is estimated by Larger Urban Zones, Eurostat to be 1.7 million inhabitants. The Turin metropolitan area is estimated by the Organisation for Economic Co-operation and Development, OECD to have a population of 2.2 million. The city used to be a major European political centre. From 1563, it was the capital of the Duchy of Savoy, then of the Kingdom of Sardinia ruled by the House of Savoy, and the first capital of the Kingdom of Italy from 1861 to 1865. T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also wrote an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, others are in Italian. Biography Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, graduatin ... [...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] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Genocchi Number
In mathematics, the Genocchi numbers G''n'', named after Angelo Genocchi, are a sequence of integers that satisfy the relation : \frac=\sum_^\infty G_n\frac The first few Genocchi numbers are 0, −1, −1, 0, 1, 0, −3, 0, 17 , see . Properties * The generating function definition of the Genocchi numbers implies that they are rational numbers. In fact, G''2n+1'' = 0 for ''n'' ≥ 1 and (−1)''n''G''2n'' is an odd positive integer. * Genocchi numbers ''G''''n'' are related to Bernoulli numbers ''B''''n'' by the formula : G_=2 \,(1-2^n) \,B_n. Combinatorial interpretations The exponential generating function for the signed even Genocchi numbers (−1)''n''G''2n'' is : t\tan \left(\frac \right)=\sum_ (-1)^n G_\frac They enumerate the following objects: * Permutations in ''S''2''n''−1 with descents after the even numbers and ascents after the odd numbers. * Permutations ''π'' in ''S''2''n''−2 with 1 &le ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Italian Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1817 Births
Events January–March * January 1 – Sailing through the Sandwich Islands, Otto von Kotzebue discovers New Year Island. * January 19 – An army of 5,423 soldiers, led by General José de San Martín, starts crossing the Andes from Argentina, to liberate Chile and then Peru. * January 20 – Ram Mohan Roy and David Hare found Hindu College, Calcutta, offering instructions in Western languages and subjects. * February 12 – Battle of Chacabuco: The Argentine–Chilean patriotic army defeats the Spanish. * March 3 ** President James Madison vetoes John C. Calhoun's Bonus Bill. ** The U.S. Congress passes a law to split the Mississippi Territory, after Mississippi drafts a constitution, creating the Alabama Territory, effective in August. * March 4 – James Monroe is sworn in as the fifth President of the United States. * March 21 – The flag of the Pernambucan Revolt is publicly blessed by the dean of Recife Cathedral, Brazil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
