Giulio Vivanti
Giulio Benedetto Isacco Vivanti (24 May 1859 – 19 November 1949) was an Italian mathematician. He was a mentor of Bruno de Finetti and he spent most of his academic career at the University of Pavia and University of Milan The University of Milan ( it, Università degli Studi di Milano; la, Universitas Studiorum Mediolanensis), known colloquially as UniMi or Statale, is a public research university in Milan, Italy. It is one of the largest universities in Europe .... See also * Vivanti–Pringsheim theorem References * 1859 births 1949 deaths Italian mathematicians University of Bologna alumni {{Italy-mathematician-stub ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mantua
Mantua ( ; it, Mantova ; Lombard language, Lombard and la, Mantua) is a city and ''comune'' in Lombardy, Italy, and capital of the Province of Mantua, province of the same name. In 2016, Mantua was designated as the Italian Capital of Culture. In 2017, it was named as the European Capital of Gastronomy, included in the Eastern Lombardy District (together with the cities of Bergamo, Brescia, and Cremona). In 2008, Mantua's ''centro storico'' (old town) and Sabbioneta were declared by UNESCO to be a World Heritage Site. Mantua's historic power and influence under the Gonzaga family has made it one of the main artistic, culture, cultural, and especially musical hubs of Northern Italy and the country as a whole. Having one of the most splendid courts of Europe of the fifteenth, sixteenth, and early seventeenth centuries. Mantua is noted for its significant role in the history of opera; the city is also known for its architectural treasures and artifacts, elegant palaces, and the m ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Italy
Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical region. Italy is also considered part of Western Europe, and shares land borders with France, Switzerland, Austria, Slovenia and the enclaved microstates of Vatican City and San Marino. It has a territorial exclave in Switzerland, Campione. Italy covers an area of , with a population of over 60 million. It is the third-most populous member state of the European Union, the sixth-most populous country in Europe, and the tenth-largest country in the continent by land area. Italy's capital and largest city is Rome. Italy was the native place of many civilizations such as the Italic peoples and the Etruscans, while due to its central geographic location in Southern Europe and the Mediterranean, the country has also historically been home ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Milan
Milan ( , , Lombard: ; it, Milano ) is a city in northern Italy, capital of Lombardy, and the second-most populous city proper in Italy after Rome. The city proper has a population of about 1.4 million, while its metropolitan city has 3.26 million inhabitants. Its continuously built-up urban area (whose outer suburbs extend well beyond the boundaries of the administrative metropolitan city and even stretch into the nearby country of Switzerland) is the fourth largest in the EU with 5.27 million inhabitants. According to national sources, the population within the wider Milan metropolitan area (also known as Greater Milan), is estimated between 8.2 million and 12.5 million making it by far the largest metropolitan area in Italy and one of the largest in the EU.* * * * Milan is considered a leading alpha global city, with strengths in the fields of art, chemicals, commerce, design, education, entertainment, fashion, finance, healthcar ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Milan
The University of Milan ( it, Università degli Studi di Milano; la, Universitas Studiorum Mediolanensis), known colloquially as UniMi or Statale, is a public research university in Milan, Italy. It is one of the largest universities in Europe, with about 60,000 students, and a permanent teaching and research staff of about 2,000. The University of Milan has ten schools and offers 140 undergraduate and graduate degree programmes, 32 Doctoral Schools and 65+ Specialization Schools. The University's research and teaching activities have grown over the years and have received important international recognitions. The University is the only Italian member of the League of European Research Universities (LERU), a group of twenty-one research-intensive European Universities. It consistently ranks as first university in Italy ( ARWU) sharing the place with University of Pisa and Sapienza University of Rome, and is also one of the best universities of Italy, both overall and in specif ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Bologna
The University of Bologna ( it, Alma Mater Studiorum – Università di Bologna, UNIBO) is a public research university in Bologna, Italy. Founded in 1088 by an organised guild of students (''studiorum''), it is the oldest university in continuous operation in the world, and the first degree-awarding institution of higher learning. At its foundation, the word ''universitas'' was first coined.Hunt Janin: "The university in medieval life, 1179–1499", McFarland, 2008, , p. 55f.de Ridder-Symoens, Hilde''A History of the University in Europe: Volume 1, Universities in the Middle Ages'' Cambridge University Press, 1992, , pp. 47–55 With over 90,000 students, it is the second largest university in Italy after La Sapienza in Rome. It was the first place of study to use the term ''universitas'' for the corporations of students and masters, which came to define the institution (especially its law school) located in Bologna. The university's emblem carries the motto, ''Alma Mater Studio ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Turin
The University of Turin (Italian: ''Università degli Studi di Torino'', UNITO) is a public research university in the city of Turin, in the Piedmont region of Italy. It is one of the oldest universities in Europe and continues to play an important role in research and training. It is steadily ranked among the top 5 Italian universities and it is ranked third for research activities in Italy, according to the latest data by ANVUR. History Overview The University of Turin was founded as a ''studium'' in 1404, under the initiative of Prince Ludovico di Savoia. From 1427 to 1436 the seat of the university was transferred to Chieri and Savigliano. It was closed in 1536 and reestablished by Duke Emmanuel Philibert thirty years later. It started to gain its modern shape following the model of the University of Bologna, although significant development did not occur until the reforms made by Victor Amadeus II, who also created the Collegio delle Province for students not nativ ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Italians
, flag = , flag_caption = The national flag of Italy , population = , regions = Italy 55,551,000 , region1 = Brazil , pop1 = 25–33 million , ref1 = , region2 = Argentina , pop2 = 20–25 million , ref2 = , region3 = United States , pop3 = 17-20 million , ref3 = , region4 = France , pop4 = 1-5 million , ref4 = , region5 = Venezuela , pop5 = 1-5 million , ref5 = , region6 = Paraguay , pop6 = 2.5 million , region7 = Colombia , pop7 = 2 million , ref7 = , region8 = Canada , pop8 = 1.5 million , ref8 = , region9 = Australia , pop9 = 1.0 million , ref9 = , region10 = Uruguay , pop10 = 1.0 million , r ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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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]   |
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Bruno De Finetti
Bruno de Finetti (13 June 1906 – 20 July 1985) was an Italian probabilist statistician and actuary, noted for the "operational subjective" conception of probability. The classic exposition of his distinctive theory is the 1937 "La prévision: ses lois logiques, ses sources subjectives," which discussed probability founded on the coherence of betting odds and the consequences of exchangeability. Life De Finetti was born in Innsbruck, Austria, and studied mathematics at Politecnico di Milano. He graduated in 1927 writing his thesis under the supervision of Giulio Vivanti. After graduation, he worked as an actuary and a statistician at ''Istituto Nazionale di Statistica'' ( National Institute of Statistics) in Rome and, from 1931, the Trieste insurance company Assicurazioni Generali. In 1936 he won a competition for Chair of Financial Mathematics and Statistics, but was not nominated due to a fascist law barring access to unmarried candidates; he was appointed as ordinary profess ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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University Of Pavia
The University of Pavia ( it, Università degli Studi di Pavia, UNIPV or ''Università di Pavia''; la, Alma Ticinensis Universitas) is a university located in Pavia, Lombardy, Italy. There was evidence of teaching as early as 1361, making it one of the oldest universities in the world. It was the sole university in Milan and the greater Lombardy region until the end of the 19th century. In 2022 the University was recognized by the Times Higher Education among the top 10 in Italy and among the 300 best in the world. Currently, it has 18 departments and 9 faculties. It does not have a main campus; its buildings and facilities are scattered around the city, which is in turn called "a city campus." The university caters to more than 20,000 students who come from Italy and all over the world. The university offers more than 80 undergraduate programs; over 40 master programs, and roughly 20 doctoral programs (including 8 in English). About 1,500 students who enter the university every ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Vivanti–Pringsheim Theorem
The Vivanti–Pringsheim theorem is a mathematical statement in complex analysis, that determines a specific singularity for a function described by certain type of power series. The theorem was originally formulated by Giulio Vivanti in 1893 and proved in the following year by Alfred Pringsheim. More precisely the theorem states the following: A complex function defined by a power series In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n = a_0 + a_1 (x - c) + a_2 (x - c)^2 + \dots where ''an'' represents the coefficient of the ''n''th term and ''c'' is a const ... :f(z)=\sum_^\infty a_nz^n with non-negative real coefficients a_n and a radius of convergence R has a singularity at z=R. A simple example is the (complex) geometric series :f(z)=\sum_^\infty z^n =\frac with a singularity at z=1. References *Reinhold Remmert: ''The Theory of Complex Functions''. Springer Science & Business Media, 1991, , ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |