Results 81 to 90 of about 130,230 (316)
Revisiting PSF models: Unifying framework and high‐performance implementation
Journal of Microscopy, EarlyView.Abstract Localisation microscopy often relies on detailed models of point‐spread functions. For applications such as deconvolution or PSF engineering, accurate models for light propagation in imaging systems with a high numerical aperture are required. Different models have been proposed based on 2D Fourier transforms or 1D Bessel integrals.
Yan Liu +7 more
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On Riemann Integral Quasicontinuity
Real Analysis Exchange, 2006 A function $f:\mathR ^n \to \mathR$ satisfies condition $(Q_{r,i}(x))$ (resp. ($Q_{r,s}(x))$, [$Q_{r,o}(x)$]) at a point $x$ if for each real $r > 0$ and for each set $U$ containing $x$ and belonging to Euclidean topology in $\mathR ^n$ (resp. to the strong density topology [to the ordinary density topology]) there is a regular domain $I$ such that ...
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The futuristic manifolds of REM sleep
Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary Since one of its first descriptions 70 years ago, rapid eye movement sleep has continually inspired and excited new generations of sleep researchers. Despite significant advancements in understanding its neurocircuitry, underlying mechanisms and microstates, many questions regarding its function, especially beyond the early neurodevelopment ...
Liborio Parrino, Ivana Rosenzweig
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On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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ALMOST RIEMANN INTEGRABLE FUNCTIONS
Tamkang Journal of Mathematics, 1995 An arbitrary function $f$ on a bounded interval $[a,b]$ is termed an almost $R$-integrable function if there exists a Riemann integrable function $g$ such that $f =g$ a.e. In this note a characterization of the class of almost $R$-integrable functions is obtained.
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Feasibility and usability of three consecutive nights with self‐applied, home polysomnography
Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary In‐laboratory polysomnography, the gold‐standard for diagnosing sleep disorders, is resource‐demanding and not conducive to multiple night evaluations. Ambulatory polysomnography, especially when self‐applied, could be a viable alternative. This study aimed to assess the feasibility and reliability of self‐applied polysomnography over three ...
Dimitri Ferretti +7 more
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Profiling the sleep architecture of ageing adults using a seven‐state continuous‐time Markov model
Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary Sleep is a complex biological process regulated by networks of neurons and environmental factors. As one falls asleep, neurotransmitters from sleep–wake regulating neurones work in synergy to control the switching of different sleep states throughout the night. As sleep disorders or underlying neuropathology can manifest as irregular switching,
Jonathon Jacobs +3 more
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A Random Riemann–Liouville Integral Operator
MathematicsIn this work, we propose a definition of the random fractional Riemann–Liouville integral operator, where the order of integration is given by a random variable.
Jorge Sanchez-Ortiz +3 more
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Positive solutions of Riemann-Stieltjes integral boundary problems for the nonlinear coupling system involving fractional-order differential [PDF]
, 2014 Kaihong Zhao, Ping Gong
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