Results 121 to 130 of about 9,340 (278)
Medical Physics, Volume 53, Issue 7, July 2026.Abstract Background Accurate segmentation of brain metastases (BM) is essential for diagnosis, stereotactic radiosurgery planning, and longitudinal assessment. However, manual contouring is time‐intensive, limiting clinical scalability, and exhibits substantial inter‐observer variability.
Yiding Han +9 more
wiley +1 more source
An Algorithm for Approximating Hausdorff Measure of Uniform Cantor Sets
, 2013 A kind of Hausdorff measure can be defined by using the entropy and this measure can be applied to the study of compact sets. The author established a combinatorial formula for a large class of Hausdorff measures.
Soon-Mo Jung
core
Hausdorff Dimension of Caloric Measure
American Journal of Mathematicsabstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire +3 more sources
Resonances for graph directed Markov systems, and geometry of infinitely generated dynamical systems
, 2009 In the first part of this thesis we transfer a result of Guillopé et al. concerning the number of zeros of the Selberg zeta function for convex cocompact Schottky groups to the setting of certain types of graph directed Markov systems (GDMS ...
Hille, Martial R.
core
Tate modules as condensed modules
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani +2 more
wiley +1 more source
Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña +2 more
wiley +1 more source
A cohomology-based Gromov–Hausdorff metric approach for quantifying molecular similarity
Scientific ReportsWe introduce a cohomology-based Gromov–Hausdorff ultrametric method to analyze 1-dimensional and higher-dimensional (co)homology groups, focusing on loops, voids, and higher-dimensional cavity structures in simplicial complexes, to address typical ...
JunJie Wee +3 more
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
Hausdorff Measure and Cantor Set
, 2013 Cílem této bakalářské práce je shrnout základní teorii Lebesgueovy a Hausdorffovy míry a vysvětlit ji použitím jednotného a srozumitelného značení, popsat vlastnosti Lebesgueovy i Hausdorffovy míry a ukázat množiny, které jsou z pohledu měření ...
Janoušek, Jakub
core
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