Results 211 to 220 of about 145,690 (265)
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2022
In the present chapter we present the main technical tool of our approach: double operator integrals (DOIs). Double operator integrals are a tool for handling the differential calculus of multivariable functions of operators. This machinery is crucial in our approach and many aspects of the theory rely on this technique.
Alan Carey, Galina Levitina
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In the present chapter we present the main technical tool of our approach: double operator integrals (DOIs). Double operator integrals are a tool for handling the differential calculus of multivariable functions of operators. This machinery is crucial in our approach and many aspects of the theory rely on this technique.
Alan Carey, Galina Levitina
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Doubling Transformations and Definite Integrals
International Journal of Applied and Computational Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cochrane, Todd, Goldstein, Lee
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2015
A double integrator is a dynamical model for a wide variety of physical systems. This includes a mass moving in one dimension and an object rotating around a shaft. It represents a broad class of systems with two states. In this chapter, you will learn how to model a double integrator and how to control it.
Michael Paluszek, Stephanie Thomas
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A double integrator is a dynamical model for a wide variety of physical systems. This includes a mass moving in one dimension and an object rotating around a shaft. It represents a broad class of systems with two states. In this chapter, you will learn how to model a double integrator and how to control it.
Michael Paluszek, Stephanie Thomas
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2019
The concept of a double operator integral on \({\mathcal {B}}({\mathcal {H}})\) was first introduced by Daletskii and Krein (Trudy Sem Functsion Anal Voronezh Gos Univ 1:81–105, 1956). They launched this theory in order to compute the derivative of the function t↦f(A(t)), where {A(t)}t is a family of bounded self-adjoint operators depending on the ...
Anna Skripka, Anna Tomskova
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The concept of a double operator integral on \({\mathcal {B}}({\mathcal {H}})\) was first introduced by Daletskii and Krein (Trudy Sem Functsion Anal Voronezh Gos Univ 1:81–105, 1956). They launched this theory in order to compute the derivative of the function t↦f(A(t)), where {A(t)}t is a family of bounded self-adjoint operators depending on the ...
Anna Skripka, Anna Tomskova
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Line Integrals and Double Integrals
1991We have already met functions and vector functions of one variable, and functions of two or more variables. We now look briefly at vector functions of two or three variables. When the domain of such functions is a region of space, we usually refer to the functions as vector fields.
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Double Series and Improper Double Integrals
2009In this chapter, we shall develop the theory of double sequences, double series, and improper double integrals. Our treatment will be analogous to the treatment of sequences, series, and improper integrals of functions of one variable given in Chapter 9 of ACICARA. Much of this chapter can be read independently of the previous chapters of this book.
Sudhir R. Ghorpade, Balmohan V. Limaye
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2010
Although the definition of the integral reflects its origins in scientific problems, its evaluation relies on a considerable range of mathematical concepts and tools. Most fundamental is the change of variables formula; the single-variable version (“u-substitution”) is perhaps the core technique of integration in the introductory calculus course.
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Although the definition of the integral reflects its origins in scientific problems, its evaluation relies on a considerable range of mathematical concepts and tools. Most fundamental is the change of variables formula; the single-variable version (“u-substitution”) is perhaps the core technique of integration in the introductory calculus course.
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INDEPENDENCE OF DOUBLE WIENER INTEGRALS
Econometric Theory, 2001In this paper a necessary and sufficient condition is obtained for two double Wiener integrals to be statistically independent, first in the case of symmetric and continuous kernels. It is also shown that, for more than two double Wiener integrals, pairwise independence implies mutual independence.
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An overview of real‐world data sources for oncology and considerations for research
Ca-A Cancer Journal for Clinicians, 2022Lynne Penberthy +2 more
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