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A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral [PDF]

open access: yesEntropy, 2020
We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener ...
Young Sik Kim
doaj   +2 more sources

Partial Derivative Approach to the Integral Transform for the Function Space in the Banach Algebra [PDF]

open access: yesEntropy, 2020
We investigate some relationships among the integral transform, the function space integral and the first variation of the partial derivative approach in the Banach algebra defined on the function space.
Kim Young Sik
doaj   +2 more sources

k-space function spaces [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence.
R. A. McCoy
doaj   +3 more sources

Functional Space Consisted by Continuous Functions on Topological Space [PDF]

open access: yesFormalized Mathematics, 2021
Summary In this article, using the Mizar system [1], [2], first we give a definition of a functional space which is constructed from all continuous functions defined on a compact topological space [5]. We prove that this functional space is a Banach space [3].
Yamazaki, Hiroshi   +2 more
openaire   +2 more sources

Reduction, mineralization, and magnetic removal of chromium from soil by using a natural mineral composite

open access: yesEnvironmental Science and Ecotechnology, 2022
Reductive immobilization has been a commonly used technique to detoxify Cr(VI) from soil; however, it's challenging to remove the reduced Cr from soil to prevent its re-oxidation.
Xiang Ji   +9 more
doaj   +1 more source

Topological transitivity of translation operators in a non-separable Hilbert space

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2023
We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
doaj   +1 more source

Electron transfer rules of minerals under pressure informed by machine learning

open access: yesNature Communications, 2023
Li and coworkers quantitatively evaluate the tendency and direction of electron transfer in the deep Earth using a machine learning method to predict the electronegativity of atoms and work function of minerals under pressure.
Yanzhang Li   +11 more
doaj   +1 more source

Relating function spaces to resourced function spaces [PDF]

open access: yesProceedings of the 2011 ACM Symposium on Applied Computing, 2011
In order to prove the computational adequacy of the (operational)natural semantics for lazy evaluation with respect to a standard denotational semantics, Launchbury defines a resourced denotational semantics. This should be equivalent to the standard one when given infinite resources, but this fact cannot be so directly established, because each ...
Sánchez Gil, Lidia   +2 more
openaire   +2 more sources

Analytic Automorphisms and Transitivity of Analytic Mappings

open access: yesMathematics, 2020
In this paper, we investigate analytic automorphisms of complex topological vector spaces and their applications to linear and nonlinear transitive operators.
Zoriana Novosad, Andriy Zagorodnyuk
doaj   +1 more source

On the inclusions of $X^\Phi$ spaces [PDF]

open access: yesMathematica Bohemica, 2023
We give some equivalent conditions (independent from the Young functions) for inclusions between some classes of $X^\Phi$ spaces, where $\Phi$ is a Young function and $X$ is a quasi-Banach function space on a $\sigma$-finite measure space $(\Omega ...
Seyyed Mohammad Tabatabaie   +1 more
doaj   +1 more source

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