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Functional Analysis

open access: yesTexts and Readings in Mathematics, 2023
Let Γ be a infinite countable group which acts naturally on (cid:3) p (Γ ) . We introduce a modification of mean dimension which is an obstruction for (cid:3) p (Γ ) and (cid:3) q (Γ ) to be Hölder conjugates. To cite this article: A. Gournay, C. R.
D. A. Brannan   +1 more
semanticscholar   +1 more source

A Functional Data Analysis Approach for the Detection of Air Pollution Episodes and Outliers: A Case Study in Dublin, Ireland

open access: yesMathematics, 2020
Ground level concentrations of nitrogen oxide (NOx) can act as an indicator of air quality in the urban environment. In cities with relatively good air quality, and where NOx concentrations rarely exceed legal limits, adverse health effects on the ...
J. Martínez Torres   +5 more
semanticscholar   +1 more source

The Fshape Framework for the Variability Analysis of Functional Shapes [PDF]

open access: yesFoundations of Computational Mathematics, 2014
This article introduces a full mathematical and numerical framework for treating functional shapes (or fshapes) following the landmarks of shape spaces and shape analysis.
B. Charlier, N. Charon, A. Trouvé
semanticscholar   +1 more source

The Christoffel–Darboux Kernel for Data Analysis

open access: yes, 2022
The Christoffel–Darboux kernel, a central object in approximation theory, is shown to have many potential uses in modern data analysis, including applications in machine learning.
J. Lasserre, Edouard Pauwels, M. Putinar
semanticscholar   +1 more source

Discrete functional analysis tools for Discontinuous Galerkin methods with application to the incompressible Navier-Stokes equations

open access: yesMathematics of Computation, 2010
Two discrete functional analysis tools are established for spaces of piecewise polynomial functions on general meshes: (i) a discrete counterpart of the continuous Sobolev embeddings, in both Hilbertian and non-Hilbertian settings; (ii) a compactness ...
D. A. Pietro, A. Ern
semanticscholar   +1 more source

Developmental Change in the Influence of Domain-General Abilities and Domain-Specific Knowledge on Mathematics Achievement: An Eight-Year Longitudinal Study

open access: yesJournal of Educational Psychology, 2017
The contributions of domain-general abilities and domain-specific knowledge to subsequent mathematics achievement were longitudinally assessed (n = 167) through 8th grade.
D. Geary   +3 more
semanticscholar   +1 more source

An Analogue to Functional Analysis in Dialgebras 1

open access: yes, 2007
It is the aim of this paper to give the first steps to establish a generalization of functional analysis for dialgebras. In particular we have described families of dialgebras each endowed with a norm and/or an involution. Such an extention could be very
R. Felipe
semanticscholar   +1 more source

Language as resource: a key notion for understanding the complexity of mathematics learning

open access: yesEducational Studies in Mathematics, 2018
The thinking of language as resource in mathematics education research has been more metaphorical than conceptual so far. This article provides grounds and reasons for the theorization of language as resource.
Núria Planas
semanticscholar   +1 more source

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