영어에서 Measure theory 을 사용하는 예와 한국어로 번역
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Programming
-
Computer
Measure theory.
His main work was in set theory, general topology, and measure theory.
In 1972 he published Constructive measure theory written in collaboration with Henry Cheng.
The result is of fundamental importance in statistical mechanics 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.
In addition, he contributed to measure theory, integration, the theory of sets, and orthogonal series.
In 1965 he was invited for a semester bythe University of Naples, Italy, to lecture on measure theory.
A brief description of the evolution of the link between measure theory and probability theory is given.
At Lvov, however, Kuratowski worked with Banach and they answered some fundamental problems on measure theory.
Probability theory is simply a branch of measure theory, with its own special emphasis and field of application….
These were Mazurkiewicz and Sierpinski who interested Marczewski in measure theory and related topics.
Doob's work was in probability and measure theory, in particular he studied the relations between probability and potential theory. .
The inequality can be stated quite generally using either the language of measure theory or(equivalently) probability.
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.
Doob is also the author of a well known book on measure theory published in 1994 when he was 84 years old.
In 1922 the Jan Kazimierz University in Lvov awarded Banach his habilitation for a thesis on measure theory.
Shields worked on a wide range of mathematical topics including measure theory, complex functions, functional analysis and operator theory. .
This text, written by one of the most illustrious probabilists alive, is an interesting addition to the textbook literature in measure theory;
He began to become interested in problems that De Giorgi and his school of geometric measure theory were working on at the Scuola Normale Superiore in Pisa.
He studied the Gaussian law of errors, limit theorems and problems of moments, andset theory and the strong law of large numbers, which he based 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.
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.
His work is in many areas ofmathematics including differential equations, functions of a complex variable, functions of several complex variables, measure theory and differential geometry.
Other areas on which Besicovitch worked included geometric measure theory, Hausdorff measure, real function theory, and complex function theory. .
Outlines some new results and open problems concerning diffusion theory where we find an intimate interplay between differential equations and measure theory in function space.
His mathematics was not rigorous(it could not be as the mathematical techniques necessary to make it so had not been developed e.g. measure theory and axiomatic probability) although, his results were basically correct.
In Principia Mathematica, Whitehead andRussell were able to provide detailed derivations of many major theorems in set theory, finite and transfinite arithmetic, and elementary measure theory.