Examples of 'measure theory' in a sentence
Meaning of "measure theory"
Measure theory is a branch of mathematics that deals with the study of measures. It provides a formal framework for measuring the size or extent of sets, such as lengths, areas, volumes, or more abstract notions of measure. Measure theory is extensively used in various fields, including probability theory, analysis, and mathematical physics
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- A branch of mathematical analysis, concerned with the theory of integration, that generalizes the intuitive notions of length, area and volume.
How to use "measure theory" in a sentence
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measure theory
Measure theory leads to the same result.
These measures are fundamental in geometric measure theory.
Standard measure theory takes the third option.
His covering theorem is a fundamental result in measure theory.
Geometric measure theory.
It forms a fundamental part of the field of geometric measure theory.
Theorems in measure theory.
The existence and regularity problems are part of geometric measure theory.
This is the definition used in measure theory and probability.
Rectifiable sets are the underlying object of study in geometric measure theory.
Appearances in measure theory.
Such an understanding offered new perspectives on the geometric measure theory.
Probability theory became measure theory with its own problems and terminology.
Such semirings are used in measure theory.
His work in measure theory led him to an interest in abstract Boolean lattices.
See also
This paradoxical result is explained by measure theory as follows.
Their work on measure theory and classification of functions rested heavily on Cantorian ideas.
This concept generalizes to any probability space using measure theory.
Techniques and concepts from geometric measure theory are used to solve partial differential equations.
The proof is based on dynamic programming and measure theory tools.
Geometric measure theory Harmonic map Minimal surface.
Her research interests lie in the field of geometric measure theory.
Furthermore, the set theory and integral or measure theory notation can be used interchangeably.
His main fields of research are the calculus of variations and geometric measure theory.
Rigorous treatment of the Dirac delta requires measure theory or the theory of distributions.
Federer wrote more than thirty research papers in addition to his book Geometric measure theory.
See the article Information theory and measure theory for more information.
The concept is precisely the same as the concept of " almost everywhere " in measure theory.
Carathéodory 's criterion is a result in measure theory that was formulated by Greek mathematician Constantin Carathéodory.
Fleming was with Herbert Federer a pioneer of geometric measure theory.
The modern theory of probability based on the measure theory was developed by Andrey Kolmogorov 1931.
More generally, the concept of almost nowhere in measure theory.
Category, Measure theory.
In mathematics, tightness is a concept in measure theory.
Published in 1902, this thesis presents the lebesgue measure theory and integration named after him.
He works on the calculus of variations, partial differential equations and geometric measure theory.
A formulation stronger than summation, measure theory is applicable.
The concept is analogous to the concept of " almost everywhere " in measure theory.
His research areas were broad, including harmonic analysis, measure theory and algebraic geometry.
His contributions include work in functional analysis, potential theory, topology and measure theory.
Category, Theorems in measure theory.
Waiving distances and angles while retaining volumes ( of geometric bodies ) one reaches measure theory.
In general, it is a result in measure theory.
He was a student of Herbert Federer, one of the founders of geometric measure theory.
In mathematics, a measurable space or Borel space is a basic object in measure theory.
After publishing the book, a second course was developed, called Fractal Measure Theory.
In mathematics, the Radon-Nikodym theorem is a result in measure theory.
The continuous-in-time financial model relies on measure theory.
Jech 's research also includes mathematical logic, algebra, analysis, topology and measure theory.
Here, look . Thanks to his sets, we will finally have a geometric measure theory.
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Examples of using Theory
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You had a theory about a missing pilot
They are forcing me to continue with string theory
A comprehensive theory of action accompanied the report
Examples of using Measure
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It was an emergency measure but overcrowding is still a problem
Measure the difference between the markings
The unit of measure for water pressure
