Results 91 to 100 of about 69,690 (223)
Cauchy problems for functional evolution inclusions involving accretive operators
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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Integration with respect to the Hausdorff measure over a smooth surface [PDF]
, 1964 Josef Král, Jan Mařík
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12654-12674, September 2025.ABSTRACT We have studied possible applications of a particular pseudodifferential algebra in singular analysis for the construction of fundamental solutions and Green's functions of a certain class of elliptic partial differential operators. The pseudodifferential algebra considered in the present work, comprises degenerate partial differential ...
Heinz‐Jürgen Flad +1 more
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Hausdorff measure functions in the space of compact subsets of the unit interval [PDF]
, 1977 Paul Goodey
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WIREs Computational Statistics, Volume 17, Issue 3, September 2025.The halfspace depth generalizes quantiles to multivariate data. This is a bagplot—a depth‐based analog of a boxplot. It succinctly captures the geometry of the bivariate dataset (blue/red points) and identifies the four red points in the top left corner as deviating from the general pattern of the data.
Stanislav Nagy
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Measure of noncompactness of operators and matrices on the spaces c and c0
International Journal of Mathematics and Mathematical Sciences, 2006 In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse +2 more
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Minimal Riesz Energy Point Configurations for Rectifiable d-Dimensional Manifolds
, 2004 For a compact set A in Euclidean space we consider the asymptotic behavior of optimal (and near optimal) N-point configurations that minimize the Riesz s-energy (corresponding to the potential 1/t^s) over all N-point subsets of A, where s>0.
Hardin, D. P., Saff, E. B.
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Hausdorff Measure Properties of the Asymmetric Cauchy Processes [PDF]
, 1977 William E. Pruitt, S. J. Taylor
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WIREs Data Mining and Knowledge Discovery, Volume 15, Issue 3, September 2025.The graphical abstract highlights the three key aspects addressed in this review: (1) the clinical background of intracranial hemorrhage (IH), providing context for its diagnosis and clinical significance; (2) the technical background of explainable artificial intelligence (XAI) methods relevant to IH‐related tasks; and (3) a systematic review of ...
Ali Kohan +4 more
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Cheeger's differentiation theorem via the multilinear Kakeya inequality
, 2019 Suppose that $(X,d,\mu)$ is a metric measure space of finite Hausdorff dimension and that, for every Lipschitz $f \colon X \to \mathbb R$, $\operatorname{Lip}(f,\cdot)$ is dominated by every upper gradient of $f$.
Bate, David +2 more
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