|
Giovanni Alberti (mathematician)
Giovanni Alberti (born March 21, 1965) is an Italian mathematician who is active in the fields of calculus of variations, real analysis and geometric measure theory. Scientific activity Alberti has studied at Scuola Normale Superiore under the guide of Giuseppe Buttazzo and Ennio De Giorgi; he is professor of mathematics at the University of Pisa. Alberti is mostly known for two remarkable theorems he proved at the beginning of his career, that eventually found applications in various branches of modern mathematical analysis. The first is a very general Lusin type theorem for gradients asserting that every Borel vector field can be realized as the gradient of a continuously differentiable function outside a closed subset of a priori prescribed (small) measure. The second asserts the rank-one property of the distributional derivatives of functions with bounded variation, thereby verifying a conjecture of De Giorgi. This theorem has found several applications, as for instance i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Caccioppoli Prize
The Caccioppoli Prize is awarded by the Italian Mathematical Union to an Italian mathematician not exceeding the age of 38 who established a wide international reputation. The prize is entitled to the memory of the Italian mathematician Renato Caccioppoli and is awarded on the occasion of the Italian Mathematical Union conference every four years. In its early stages the prize was awarded every two years. The recipient currently receives 10,000 euros. Further prizes of the Italian Mathematical Union are the Bartolozzi Prize, the Stampacchia Medal and the Vinti Prize. Prize winners SourceUnione Matematica ItalianaWinners and relative academic affiliations at the time of the awarding of the prize *1960 Ennio de Giorgi (Scuola Normale Superiore di Pisa) *1962 Edoardo Vesentini (University of Pisa) *1964 Emilio Gagliardo (University of Genova) *1966 Enrico Bombieri (University of Pisa) *1968 Mario Miranda (University of Pisa) *1970 Claudio Baiocchi (University of Pavia) *1974 Al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ferrara, Italy
Ferrara (, ; egl, Fràra ) is a city and ''comune'' in Emilia-Romagna, northern Italy, capital of the Province of Ferrara. it had 132,009 inhabitants. It is situated northeast of Bologna, on the Po di Volano, a branch channel of the main stream of the Po River, located north. The town has broad streets and numerous palaces dating from the Renaissance, when it hosted the court of the House of Este. For its beauty and cultural importance, it has been designated by UNESCO as a World Heritage Site. History Antiquity and Middle Ages The first documented settlements in the area of the present-day Province of Ferrara date from the 6th century BC. The ruins of the Etruscan town of Spina, established along the lagoons at the ancient mouth of Po river, were lost until modern times, when drainage schemes in the Valli di Comacchio marshes in 1922 first officially revealed a necropolis with over 4,000 tombs, evidence of a population centre that in Antiquity must have played a major role ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weak Derivative
In mathematics, a weak derivative is a generalization of the concept of the derivative of a function (''strong derivative'') for functions not assumed differentiable, but only integrable, i.e., to lie in the L''p'' space L^1( ,b. The method of integration by parts holds that for differentiable functions u and \varphi we have :\begin \int_a^b u(x) \varphi'(x) \, dx & = \Big (x) \varphi(x)\Biga^b - \int_a^b u'(x) \varphi(x) \, dx. \\ pt \end A function ''u''' being the weak derivative of ''u'' is essentially defined by the requirement that this equation must hold for all infinitely differentiable functions ''φ'' vanishing at the boundary points (\varphi(a)=\varphi(b)=0). Definition Let u be a function in the Lebesgue space L^1( ,b. We say that v in L^1( ,b is a weak derivative of u if :\int_a^b u(t)\varphi'(t) \, dt=-\int_a^b v(t)\varphi(t) \, dt for ''all'' infinitely differentiable functions \varphi with \varphi(a)=\varphi(b)=0. Generalizing to n dimensions, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century Italian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1965 Births
Events January–February * January 14 – The Prime Minister of Northern Ireland and the Taoiseach of the Republic of Ireland meet for the first time in 43 years. * January 20 ** Lyndon B. Johnson is Second inauguration of Lyndon B. Johnson, sworn in for a full term as President of the United States. ** Indonesian President Sukarno announces the withdrawal of the Indonesian government from the United Nations. * January 30 – The Death and state funeral of Winston Churchill, state funeral of Sir Winston Churchill takes place in London with the largest assembly of dignitaries in the world until the 2005 funeral of Pope John Paul II. * February 4 – Trofim Lysenko is removed from his post as director of the Institute of Genetics at the Russian Academy of Sciences, Academy of Sciences in the Soviet Union. Lysenkoism, Lysenkoist theories are now treated as pseudoscience. * February 12 ** The African and Malagasy Republic, Malagasy Common Organization ('; OCA ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
European Congress Of Mathematics
The European Congress of Mathematics (ECM) is the second largest international conference of the mathematics community, after the International Congresses of Mathematicians (ICM). The ECM are held every four years and are timed precisely between the ICM. The ECM is held under the auspices of the European Mathematical Society (EMS), and was one of its earliest initiatives. It was founded by Max Karoubi and the first edition took place in Paris in 1992. Its objectives are "to present various new aspects of pure and applied mathematics to a wide audience, to be a forum for discussion of the relationship between mathematics and society in Europe, and to enhance cooperation among mathematicians from all European countries." Activities The Congresses generally last a week and consist of plenary lectures, parallel (invited) lectures and several mini-symposia devoted to a particular subject, where participants can contribute with posters and short talks. Many editions featured also s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continuity Equation
A continuity equation or transport equation is an equation that describes the transport of some quantity. It is particularly simple and powerful when applied to a conserved quantity, but it can be generalized to apply to any extensive quantity. Since mass, energy, momentum, electric charge and other natural quantities are conserved under their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations. Continuity equations are a stronger, local form of conservation laws. For example, a weak version of the law of conservation of energy states that energy can neither be created nor destroyed—i.e., the total amount of energy in the universe is fixed. This statement does not rule out the possibility that a quantity of energy could disappear from one point while simultaneously appearing at another point. A stronger statement is that energy is ''locally'' conserved: energy can neither be created nor destroyed, ''nor'' can it " t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre-Louis Lions
Pierre-Louis Lions (; born 11 August 1956) is a French people, French mathematician. He is known for a number of contributions to the fields of partial differential equations and the calculus of variations. He was a recipient of the 1994 Fields Medal and the 1991 Prize of the Altria, Philip Morris tobacco and cigarette company. Biography Lions graduated from the École Normale Supérieure, École normale supérieure in 1977, and received his doctorate from the University of Pierre and Marie Curie in 1979. He holds the position of Professor of ''Partial differential equations and their applications'' at the Collège de France in Paris as well as a position at École Polytechnique. Since 2014, he has also been a visiting professor at the University of Chicago. In 1979, Lions married Lila Laurenti, with whom he has one son. Lions' parents were Andrée Olivier and the renowned mathematician Jacques-Louis Lions, at the time a professor at the University of Nancy, and from 1991 through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Di Perna
Di or DI may refer to: Arts and media Music * Di, a tone in the solfège ascending chromatic scale existing between Do and Re * dizi (instrument) or di, a Chinese transverse flute * ''D.I.'' (band), a punk band from Southern California ** ''D.I.'' (EP), a 1983 EP by the same band above Other media * ''The D.I.'', 1957 military film by Jack Webb * '' Dagens Industri'', a Swedish financial newspaper * DI.FM, an internet radio service Businesses and organisations * Defence Intelligence, a UK military intelligence agency * Defensa Interior, an anti-Franco militant anarchist group in 1960s Spain * Deseret Industries, an LDS thrift store * Desert Inn, a former casino in Las Vegas * Direction Italy, a liberal-conservative political party in Italy * Dirgantara Indonesia, an Indonesian aircraft company * Discovery Institute, an intelligent design advocacy group * Norwegian Air UK, a UK based airline (IATA designator) * DynCorp International, a major United States defense contract ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
