Giuseppe Lauricella
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Giuseppe Lauricella
Giuseppe Lauricella (15 December 1867 – 9 January 1913) was an Italian mathematician who contributed to analysis and theory of elasticity.Lauricella, Giuseppi — Treccani, Dizionario-Biografico
Born in (Sicily), Lauricella studied at the , where his professors included ,

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Agrigento
Agrigento (; scn, Girgenti or ; grc, Ἀκράγας, translit=Akrágas; la, Agrigentum or ; ar, كركنت, Kirkant, or ''Jirjant'') is a city on the southern coast of Sicily, Italy and capital of the province of Agrigento. It was one of the leading cities of Magna Graecia during the Fifth-century Athens, golden age of Ancient Greece  BC. History Akragas was founded on a plateau overlooking the sea, with two nearby rivers, the Sant'Anna (river), Hypsas and the Acragas, after which the settlement was originally named. A ridge, which offered a degree of natural fortification, links a hill to the north called Colle di Girgenti with another, called Rupe Atenea, to the east. According to Thucydides, it was founded around 582-580 BC by Ancient Greece, Greek colonists from Gela in eastern Sicily, with further colonists from Crete and Rhodes. The founders (Oikistes, ''oikistai'') of the new city were Aristonous and Pystilus. It was the last of the major Greek colonies ...
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Accademia Dei Lincei
The Accademia dei Lincei (; literally the "Academy of the Lynx-Eyed", but anglicised as the Lincean Academy) is one of the oldest and most prestigious European scientific institutions, located at the Palazzo Corsini on the Via della Lungara in Rome, Italy. Founded in the Papal States in 1603 by Federico Cesi, the academy was named after the lynx, an animal whose sharp vision symbolizes the observational prowess that science requires. Galileo Galilei was the intellectual centre of the academy and adopted "Galileo Galilei Linceo" as his signature. "The Lincei did not long survive the death in 1630 of Cesi, its founder and patron", and "disappeared in 1651". During the nineteenth century, it was revived, first in the Vatican and later in the nation of Italy. Thus the Pontifical Academy of Science, founded in 1847, claims this heritage as the ''Accademia Pontificia dei Nuovi Lincei ("Pontifical Academy of the New Lynxes")'', descending from the first two incarnations of the Academy. ...
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1913 Deaths
Events January * January 5 – First Balkan War: Battle of Lemnos – Greek admiral Pavlos Kountouriotis forces the Turkish fleet to retreat to its base within the Dardanelles, from which it will not venture for the rest of the war. * January 13 – Edward Carson founds the (first) Ulster Volunteer Force, by unifying several existing loyalist militias to resist home rule for Ireland. * January 23 – 1913 Ottoman coup d'état: Ismail Enver comes to power. * January – Stalin (whose first article using this name is published this month) travels to Vienna to carry out research. Until he leaves on February 16 the city is home simultaneously to him, Hitler, Trotsky and Tito alongside Berg, Freud and Jung and Ludwig and Paul Wittgenstein. February * February 1 – New York City's Grand Central Terminal, having been rebuilt, reopens as the world's largest railroad station. * February 3 – The 16th Amendment to the United States Cons ...
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1867 Births
Events January–March * January 1 – The Covington–Cincinnati Suspension Bridge opens between Cincinnati, Ohio, and Covington, Kentucky, in the United States, becoming the longest single-span bridge in the world. It was renamed after its designer, John A. Roebling, in 1983. * January 8 – African-American men are granted the right to vote in the District of Columbia. * January 11 – Benito Juárez becomes Mexican president again. * January 30 – Emperor Kōmei of Japan dies suddenly, age 36, leaving his 14-year-old son to succeed as Emperor Meiji. * January 31 – Maronite nationalist leader Youssef Bey Karam leaves Lebanon aboard a French ship for Algeria. * February 3 – ''Shōgun'' Tokugawa Yoshinobu abdicates, and the late Emperor Kōmei's son, Prince Mutsuhito, becomes Emperor Meiji of Japan in a brief ceremony in Kyoto, ending the Late Tokugawa shogunate. * February 7 – West Virginia University is established in Morgantown, West Virginia. * Febru ...
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Lauricella's Theorem
In the theory of orthogonal functions, Lauricella's theorem provides a condition for checking the closure of a set of orthogonal functions, namely: ''Theorem.'' A necessary and sufficient condition that a normal orthogonal set \ be closed is that the formal series for each function of a known closed normal orthogonal set \ in terms of \ Convergence_of_random_variables#Convergence_in_mean, converge in the mean to that function. The theorem was proved by Giuseppe Lauricella in 1912. References

*G. Lauricella: ''Sulla chiusura dei sistemi di funzioni ortogonali'', Rendiconti dei Lincei, Series 5, Vol. 21 (1912), pp. 675–85. {{Functional analysis Theorems in functional analysis ...
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Lauricella Hypergeometric Series
In 1893 Giuseppe Lauricella defined and studied four hypergeometric series ''F''''A'', ''F''''B'', ''F''''C'', ''F''''D'' of three variables. They are : : F_A^(a,b_1,b_2,b_3,c_1,c_2,c_3;x_1,x_2,x_3) = \sum_^ \frac \,x_1^x_2^x_3^ for , ''x''1, + , ''x''2, + , ''x''3, < 1 and : F_B^(a_1,a_2,a_3,b_1,b_2,b_3,c;x_1,x_2,x_3) = \sum_^ \frac \,x_1^x_2^x_3^ for , ''x''1, < 1, , ''x''2, < 1, , ''x''3, < 1 and : F_C^(a,b,c_1,c_2,c_3;x_1,x_2,x_3) = \sum_^ \frac \,x_1^x_2^x_3^ for , ''x''1, ½ + , ''x''2, ½ + , ''x''3, ½ < 1 and : F_D^(a,b_1,b_2,b_3,c;x_1,x_2,x_3) = \sum_^ \frac \,x_1^x_2^x_3^ for , ''x''1, < 1, , ''x''2, < 1, , ''x''3, < 1. Here the ...
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Scarlet Fever
Scarlet fever, also known as Scarlatina, is an infectious disease caused by ''Streptococcus pyogenes'' a Group A streptococcus (GAS). The infection is a type of Group A streptococcal infection (Group A strep). It most commonly affects children between five and 15 years of age. The signs and symptoms include a sore throat, fever, headache, swollen lymph nodes, and a characteristic rash. The face is flushed and the rash is red and blanching. It typically feels like sandpaper and the tongue may be red and bumpy. The rash occurs as a result of capillary damage by exotoxins produced by ''S.pyogenes''. On darker pigmented skin the rash may be hard to discern. Scarlet fever affects a small number of people who have strep throat or streptococcal skin infections. The bacteria are usually spread by people coughing or sneezing. It can also be spread when a person touches an object that has the bacteria on it and then touches their mouth or nose. The diagnosis is typically confirmed by ...
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International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ...
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Vito Volterra
Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis. Biography Born in Ancona, then part of the Papal States, into a very poor Jewish family: his father was Abramo Volterra and his mother, Angelica Almagià. Abramo Volterra died in 1862 when Vito was two years old. The family moved to Turin, and then to Florence, where he studied at the Dante Alighieri Technical School and the Galileo Galilei Technical Institute. Volterra showed early promise in mathematics before attending the University of Pisa, where he fell under the influence of Enrico Betti, and where he became professor of rational mechanics in 1883. He immediately started work developing his theory of functionals which led to his interest and later contributions in integral and integro-differential equations. His work is summarised in his book ''Theory ...
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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 ...
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Ulisse Dini
Ulisse Dini (14 November 1845 – 28 October 1918) was an Italian mathematician and politician, born in Pisa. He is known for his contribution to real analysis, partly collected in his book "''Fondamenti per la teorica delle funzioni di variabili reali''". Life and academic career Dini attended the Scuola Normale Superiore in order to become a teacher. One of his professors was Enrico Betti. In 1865, a scholarship enabled him to visit Paris, where he studied under Charles Hermite as well as Joseph Bertrand, and published several papers. In 1866, he was appointed to the University of Pisa, where he taught algebra and geodesy. In 1871, he succeeded Betti as professor for analysis and geometry. From 1888 until 1890, Dini was ''rettore'' of the Pisa University, and of the ''Scuola Normale Superiore'' from 1908 until his death in 1918. He was also active as a politician: in 1871 he was voted into the Pisa city council, and in 1880, he became a member of the Italian parliament. Hono ...
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Luigi Bianchi
Luigi Bianchi (18 January 1856 – 6 June 1928) was an Italians, Italian mathematician. He was born in Parma, Emilia-Romagna, and died in Pisa. He was a leading member of the vigorous Italian school of algebraic geometry, geometric school which flourished in Italy during the later years of the 19th century and the early years of the twentieth century. Biography Like his friend and colleague Gregorio Ricci-Curbastro, Bianchi studied at the Scuola Normale Superiore in Pisa under Enrico Betti, a leading differential geometry, differential geometer who is today best remembered for his seminal contributions to topology, and Ulisse Dini, a leading expert on Real analysis, function theory. Bianchi was also greatly influenced by the geometrical ideas of Bernhard Riemann and by the work on transformation groups of Sophus Lie and Felix Klein. Bianchi became a professor at the Scuola Normale Superiore in Pisa in 1896, where he spent the remainder of his career. At Pisa, his colleagues include ...
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