Results 101 to 110 of about 3,079 (209)
Hausdorff dimension of wild fractals [PDF]
Transactions of the American Mathematical Society, 1992 We show that for every s ∈ [ n
openaire +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 1, Page 287-301, July 2026.ABSTRACT Purpose In diffusion MRI, vasogenic edema manifests as a major fraction of isotropic water that dilutes the anisotropic intra‐axonal portion of the signal. Many tractography algorithms mistake vasogenic edema for the white matter boundary and terminate tracking to prevent producing spurious streamlines.
Patryk Filipiak +6 more
wiley +1 more source
A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY
Проблемы анализа, 2016 In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity.
Bilel Selmi
doaj +1 more source
Sections and projections of the outer and inner regularizations of a convex body
Mathematika, Volume 72, Issue 3, July 2026.Abstract We establish new geometric inequalities comparing the volumes of sections and projections of a convex body, whose barycenter or Santaló point is at the origin, with those of its inner and outer regularizations. We also provide functional extensions of these inequalities to the setting of log‐concave functions. Our approach relies on the recent
Natalia Tziotziou
wiley +1 more source
Seniority‐Zero Quadratic Canonical Transformation Theory
International Journal of Quantum Chemistry, Volume 126, Issue 12, June 15, 2026.We construct a unitary transformation of electronic Hamiltonians using quadratic canonical transformation theory, choosing the transformation to minimize the non‐seniority‐zero elements of the transformed Hamiltonian. This allows us to add dynamic correlation to the static correlation inherent in orbital‐optimized doubly‐occupied (seniority‐zero ...
Daniel F. Calero‐Osorio, Paul W. Ayers
wiley +1 more source
A Hausdorff dimension for finite sets
CoRR, 2015 The classical Hausdorff dimension of finite or countable sets is zero. We define an analog for finite sets, called finite Hausdorff dimension which is non-trivial. It turns out that a finite bound for the finite Hausdorff dimension guarantees that every point of the set has "nearby" neighbors.
openaire +2 more sources
Journal of Applied Clinical Medical Physics, Volume 27, Issue 6, June 2026.Abstract Background Online adaptive radiotherapy (ART) relies on cone‐beam computed tomography (CBCT) imaging for daily treatment adaptation, but CBCT's physical limitations can compromise contour delineation and dose calculation accuracy. The relationship between image quality metrics and clinical ART workflow accuracy remains unclear.
Sunhwa Kim +5 more
wiley +1 more source
A note on equivalent interval covering systems for Hausdorff dimension on ℝ
International Journal of Mathematics and Mathematical Sciences, 1988 The Hausdorff dimension of a set in ℝ is usually defined by considering countable coverings of the set by general intervals. In this note we establish sufficient conditions under which coverings whose members are restricted to a particular family g of ...
C. D. Cutler
doaj +1 more source
Earth Surface Processes and Landforms, Volume 51, Issue 6, June 2026.A new coastline formed during the 2021 eruption of La Palma quickly eroded, becoming crenellated and with pocket beaches, then retreated more gradually as resistant interiors of the lava were exposed. In contrast, a second thicker lava delta changed more gradually, highlighting the importance of lithology to coastal erosion.
Zhongwei Zhao +6 more
wiley +1 more source
Correction: Biś, A., et al. Hausdorff Dimension and Topological Entropies of a Solenoid. Entropy 2020, 22, 506. [PDF]
Entropy (Basel), 2020 Biś A, Namiecińska A.
europepmc +1 more source