|
Pluriharmonic Function
In mathematics, precisely in the theory of functions of several complex variables, a pluriharmonic function is a real valued function which is locally the real part of a holomorphic function of several complex variables. Sometimes such a function is referred to as ''n''-harmonic function, where ''n'' ≥ 2 is the dimension of the complex domain where the function is defined. However, in modern expositions of the theory of functions of several complex variablesSee for example the popular textbook by and the advanced (even if a little outdated) monograph by . it is preferred to give an equivalent formulation of the concept, by defining pluriharmonic function a complex valued function whose restriction to every complex line is a harmonic function with respect to the real and imaginary part of the complex line parameter. Formal definition . Let be a complex domain and be a (twice continuously differentiable) function. The function is called pluriharmonic if, for every complex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Number
In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted , called the imaginary unit and satisfying the equation i^= -1; every complex number can be expressed in the form a + bi, where and are real numbers. Because no real number satisfies the above equation, was called an imaginary number by René Descartes. For the complex number is called the , and is called the . The set of complex numbers is denoted by either of the symbols \mathbb C or . Despite the historical nomenclature, "imaginary" complex numbers have a mathematical existence as firm as that of the real numbers, and they are fundamental tools in the scientific description of the natural world. Complex numbers allow solutions to all polynomial equations, even those that have no solutions in real numbers. More precisely, the fundamental theorem of algebra asserts that every non-constant polynomial equation with real or complex coefficie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rendiconti Del Circolo Matematico Di Palermo
The Circolo Matematico di Palermo (Mathematical Circle of Palermo) is an Italian mathematical society, founded in Palermo by Sicilian geometer Giovanni B. Guccia in 1884.The Mathematical Circle of Palermo MacTutor History of Mathematics archive. Retrieved 2011-06-19. It began accepting foreign members in 1888, and by the time of Guccia's death in 1914 it had become the foremost international mathematical society, with approximately one thousand members. However, subsequently to that time it declined in influence. Publications ''Rendiconti del Circolo Matematico di Palermo'', the journal ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mario Benedicty
Mario (; ) is a Character (arts), character created by the Japanese game designer Shigeru Miyamoto. He is the star of the ''Mario (franchise), Mario'' franchise, a recurring character in the ''Donkey Kong'' franchise, and the mascot of the Japanese video game company Nintendo. Mario is an Italian plumber who lives in the Mushroom Kingdom with his younger twin brother, Luigi. Their adventures generally involve rescuing Princess Peach from the villain Bowser while using power-ups that give them different abilities. Mario is distinguished by his large nose and mustache, overalls, red cap, and high-pitched, exaggerated Italian accent. Mario debuted as the player character of ''Donkey Kong (1981 video game), Donkey Kong'', a 1981 platform game. Miyamoto created Mario because Nintendo was unable to license Popeye as the protagonist. The graphical limitations of arcade cabinet, arcade hardware influenced Mario's design, such as his nose, mustache, and overalls, and he was named after ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Giovanni Battista Rizza
Giovanni Battista Rizza (7 February 1924 – 15 October 2018), officially known as Giambattista Rizza, was an Italian mathematician, working in the fields of complex analysis of several variables and in differential geometry: he is known for his contribution to hypercomplex analysis, notably for extending Cauchy's integral theorem and Cauchy's integral formula to complex functions of a hypercomplex variable,According to the motivation for the award of the "'' Premio Ottorino Pomini''", reported on the , "Sono particolarmente degni di nota i risultati sui teoremi integrali per le funzioni regolari, sulle estensioni della formula integrale di Cauchy alle funzioni monogene sulle algebre complesse dotate di modulo commutative e sul conseguente sviluppo della relativa teoria, ed infine sulla struttura delle algebre di Clifford" ("Particularly notable results are the ones on the integral theorems for regular functions, the ones on the extension of Cauchy integral formula to complex c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Enzo Martinelli
Enzo Martinelli (11 November 1911 – 27 August 1999 writes that his death year is 1998, unlike to , and , but it is probably a typographical error.) was an Italian mathematician, working in the theory of functions of several complex variables: he is best known for his work on the theory of integral representations for holomorphic functions of several variables, notably for discovering the Bochner–Martinelli formula in 1938, and for his work in the theory of multi-dimensional residues. Biography Life He was born in Pescia on 11 November 1911, where his father was the Director of the local agricultural school. His family later went to Rome, where his father ended his working career as the Director-general of the Italian Ministry of Public Education. Enzo Martilnelli lived in Rome almost all of his life: the only exception was a period of nearly eight years, from 1947 to 1954, when he was in Genova, working at the local university. In 1946 he married in Rome Luigia Panella, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Istituto Nazionale Di Alta Matematica
The Istituto Nazionale di Alta Matematica Francesco Severi, abbreviated as INdAM, is a government created non-profit research institution whose main purpose is to promote research in the field of mathematics and its applications and the diffusion of higher mathematical education in Italy.See the Italian law and its later amendment . Its founder and first president, later nominated life president, was Francesco Severi, who exerted also a major influence on the creation of the institute. History The institute was established on 13 July 1939 as the ''Royal National Institute of High Mathematics'', with a law signed by Vittorio Emanuele III, Benito Mussolini, Paolo Thaon di Revel and Giuseppe Bottai. Its foundation is largely due to the action of Francesco Severi, possibly starting from an idea by Luigi Fantappié. The first Scientific Council was made up of Francesco Severi (president), Luigi Fantappiè, Giulio Krall, Enrico Bompiani and Mauro Picone. In 1946, following th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acta Mathematica
''Acta Mathematica'' is a peer-reviewed open-access scientific journal covering research in all fields of mathematics. According to Cédric Villani, this journal is "considered by many to be the most prestigious of all mathematical research journals".. According to the ''Journal Citation Reports'', the journal has a 2020 impact factor of 4.273, ranking it 5th out of 330 journals in the category "Mathematics". Publication history The journal was established by Gösta Mittag-Leffler in 1882 and is published by Institut Mittag-Leffler, a research institute for mathematics belonging to the Royal Swedish Academy of Sciences. The journal was printed and distributed by Springer from 2006 to 2016. Since 2017, Acta Mathematica has been published electronically and in print by International Press. Its electronic version is open access without publishing fees. Poincaré episode The journal's "most famous episode" (according to Villani) concerns Henri Poincaré, who won a prize offered in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacific Grove, California
Pacific Grove is a city situated on the southern edge of Monterey Bay, on the Central Coast of California. Located in Monterey County, the city had a population of 15,090 at the 2020 census. Pacific Grove is a popular tourist destination on the Central Coast, hosting notable attractions the Monarch Grove Sanctuary, Asilomar Conference Center, the Pacific Grove Marine Gardens, and Point Pinos Lighthouse, among others. The region was historically inhabited by the Rumsen tribe of Ohlone people. During the Mexican era, the area was granted by Governor José Figueroa to local merchant José Abrego as part of Rancho Punta de Piños, in 1833. Following the Mexican-American War and the U.S. conquest of California, the area developed into a notable fishing village. By 1875, the Pacific Improvement Company owned most of the area and founded the modern settlement of Pacific Grove as a Methodist retreat. By the turn of the 19th and 20th centuries, Pacific Grove had come to host ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prentice-Hall
Prentice Hall was a major American educational publisher. It published print and digital content for the 6–12 and higher-education market. It was an independent company throughout the bulk of the twentieth century. In its last few years it was owned by, then absorbed into, Savvas Learning Company. In the Web era, it distributed its technical titles through the Safari Books Online e-reference service for some years. History On October 13, 1913, law professor Charles Gerstenberg and his student Richard Ettinger founded Prentice Hall. Gerstenberg and Ettinger took their mothers' maiden names, Prentice and Hall, to name their new company. At the time the name was usually styled as Prentice-Hall (as seen for example on many title pages), per an orthographic norm for coordinate elements within such compounds (compare also ''McGraw-Hill'' with later styling as ''McGraw Hill''). Prentice-Hall became known as a publisher of trade books by authors such as Norman Vincent Peale; ele ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Englewood Cliffs
Englewood Cliffs is a borough in Bergen County, in the U.S. state of New Jersey. As of the 2020 United States census, the borough's population was 5,342, an increase of 61 (+1.2%) from the 2010 census count of 5,281, which in turn reflected a decline of 41 (-0.8%) from the 5,322 counted in the 2000 census. The borough houses the world headquarters of CNBC (NBCUniversal), the North American headquarters of South Korean conglomerate LG Corp,LG's Sustainable Flagship HOK, backed up by the as of October 17, 2012. Acces ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plurisubharmonic Function
In mathematics, plurisubharmonic functions (sometimes abbreviated as psh, plsh, or plush functions) form an important class of functions used in complex analysis. On a Kähler manifold, plurisubharmonic functions form a subset of the subharmonic functions. However, unlike subharmonic functions (which are defined on a Riemannian manifold) plurisubharmonic functions can be defined in full generality on complex analytic spaces. Formal definition A function f \colon G \to \cup\, with ''domain'' G \subset ^n is called plurisubharmonic if it is upper semi-continuous, and for every complex line :\\subset ^n, with a, b \in ^n, the function z \mapsto f(a + bz) is a subharmonic function on the set :\. In full generality, the notion can be defined on an arbitrary complex manifold or even a complex analytic space X as follows. An upper semi-continuous function f \colon X \to \cup \ is said to be plurisubharmonic if for any holomorphic map \varphi\colon\Delta\to X the function f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
