Results 1 to 10 of about 784,822 (178)
International Journal of Mathematics and Mathematical Sciences, 1998 α-scattered spaces, spaces whose α-topology is scattered, are introduced and used to slightly extend a recent result of A. V. Arhangel'skii and P. J. Collins [1]. Strong irresolvability of J. Foran and P.
David A. Rose
doaj +2 more sources
Simulation and measurement of X-ray scattered radiation in radiodiagnosis [PDF]
Nuclear Technology and Radiation Protection, 2023 This work aims to measure the scattered radiation energy spectrum and radiation dose at different positions during radiological diagnosis through the Monte Carlo simulation and experiment.
Tang Xian Qiang +6 more
doaj +1 more source
Orbitally discrete coarse spaces
Applied General Topology, 2021 Given a coarse space (X, E), we endow X with the discrete topology and denote X ♯ = {p ∈ βG : each member P ∈ p is unbounded }. For p, q ∈ X ♯ , p||q means that there exists an entourage E ∈ E such that E[P] ∈ q for each P ∈ p.
Igor V. Protasov
doaj +1 more source
Proceedings of the American Mathematical Society, 1974 We show that each 0 0 -dimensional Hausdorff space which is scattered can be mapped continuously in a one-to-one way onto a scattered 0 0 -dimensional Hausdorff space of the same weight as its cardinality. This gives an easier and a new proof of the fact that a countable regular space admits a coarser compact Hausdorff
Kannan, V., Rajagopalan, M.
openaire +2 more sources
Observing quantum coherence from photons scattered in free-space
Light: Science & Applications, 2021 Quantum channels in free-space, an essential prerequisite for fundamental tests of quantum mechanics and quantum technologies in open space, have so far been based on direct line-of-sight because the predominant approaches for photon-encoding, including ...
Shihan Sajeed, Thomas Jennewein
doaj +1 more source
ParacompactC-scattered spaces [PDF]
Pacific Journal of Mathematics, 1987 A Hausdorff topological space X is said to be C-scattered [\textit{R. Telgársky}, Fundam. Math. 73, 59-74 (1971; Zbl 0226.54018)] provided that each of its non-empty closed subspaces contains a compact set with a non-empty relative interior. The authors prove that each countable product of paracompact C-scattered spaces is paracompact. A corollary says
Friedler, L. M. +2 more
openaire +3 more sources
IEEE Access, 2022 Analytic expressions of scattered electric fields for different categories of cylindrical targets buried in the half-space have been developed. In all the cases, investigation domains have been considered two-dimensional and are infinitely long in the ...
Soumyakanti Maiti +2 more
doaj +1 more source
Geometric scattering on measure spaces
Applied and Computational Harmonic Analysis, 2022 The scattering transform is a multilayered, wavelet-based transform initially introduced as a model of convolutional neural networks (CNNs) that has played a foundational role in our understanding of these networks' stability and invariance properties.
Joyce Chew +7 more
openaire +2 more sources
Momentum-space Scattering Extremizations
Laser & Photonics Reviews, 2023 Studies into scatterings of photonic structures have been so far overwhelmingly focused on their dependencies on the spatial and spectral morphologies of the incident waves. In contrast, the evolution of scattering properties through another parameter space of incident directions (momentum space) has attracted comparably little attention, though of ...
Wen, Chunchao +4 more
openaire +3 more sources
First-countable Lindelöf scattered spaces
Topology and its Applications, 2022 We study the class of first-countable Lindelöf scattered spaces, or "FLS" spaces. While every $T_3$ FLS space is homeomorphic to a scattered subspace of $\mathbb Q$, the class of $T_2$ FLS spaces turns out to be surprisingly rich. Our investigation of these spaces reveals close ties to $Q$-sets, Lusin sets, and their relatives, and to the cardinals ...
Banakh, Taras +2 more
openaire +3 more sources