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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of functions of several complex variablesSee for example the popular textbook by and the advanced (even if a little outdated) monograph by .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] |
