Примери за използване на Measure theory на Английски и техните преводи на Български
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What measure theory every would-be analyst should learn.
The result is of fundamental importance in statistical mechanics and measure theory.
In 1972 he published Constructive measure theory written in collaboration with Henry Cheng.
His main work was in set theory, general topology, and measure theory.
He studied inequalities, geometry and measure theory, particularly working in this area with Besicovitch.
Luzin's main contributions are in the area of foundations of mathematics and measure theory.
Probability theory is simply a branch of measure theory, with its own special emphasis and field of application….
In 1965 he was invited for a semester by the University of Naples,Italy, to lecture on measure theory.
Shields worked on a wide range of mathematical topics including measure theory, complex functions, functional analysis and operator theory. .
In 1922 the Jan Kazimierz University in Lvov awarded Banach his habilitation for a thesis on measure theory.
He began to become interested in problems that De Giorgi andhis school of geometric measure theory were working on at the Scuola Normale Superiore in Pisa.
After taking his first degree he started graduate work at Cambridge with Besicovitch on geometric measure theory.
De Giorgi attended lectures by Caccioppoli on geometric measure theory, but already by this time he had his own ideas about how to attack problems of minimal surfaces.
These were Mazurkiewicz andSierpinski who interested Marczewski in measure theory and related topics.
In addition to the significant contributions to real analysis and measure theory which we have briefly mentioned above, he contributed to complex analysis, geometry, and numerical analysis.
In Lvov, Kuratowski worked with Banach andthey answered some fundamental problems on measure theory.
Other areas on which Besicovitch worked included geometric measure theory, Hausdorff measure, real function theory, and complex function theory. .
At Lwow, however, Kuratowski worked with Banach andthey answered some fundamental problems on measure theory.
Every serious mathematical library should acquire it and teachers of measure theory- especially those who are analysts by profession- should not fail to consult it for their future courses.
He worked with a number of collaborators from 1973 on the writing of a monograph on measure theory and differential equations.
He pioneered the use of general notions of integration and measure theory in this area, and his interests lay in application and development of new techniques rather than in deep structural theorems.
In this book,Ito develops the theory on a probability space using terms and tools from measure theory.
He has diverse interests in the fields of algebra,functional analysis, measure theory, dynamical systems, partial differential equations, and in applied mathematics and programming.
This text, written by one of the most illustrious probabilists alive,is an interesting addition to the textbook literature in measure theory;
Influenced by methods which Caccioppoli had developed,De Giorgi went on to develop new techniques in geometric measure theory and he applied his results to the calculus of variations proving his regularity theorem for almost all minimal surfaces.
In 1923 he published in Fundamenta Mathematicae the first rigorous account of the theory of tossing coins based on measure theory.
His work is in many areas of mathematics including differential equations, functions of a complex variable,functions of several complex variables, measure theory and differential geometry.
He studied the Gaussian law of errors, limit theorems and problems of moments, and set theory and the strong law of large numbers,which he based on measure theory.
The award for a book or substantial survey or research-expository paper is made to Paul R Halmos for his many graduate texts in mathematics,dealing with finite dimensional vector spaces, measure theory, ergodic theory and Hilbert space.
In Principia Mathematica, Whitehead and Russell were able to provide detailed derivations of many major theorems in set theory, finite andtransfinite arithmetic, and elementary measure theory.