Results 91 to 100 of about 58,663 (206)
Countable Basis for Free Electromagnetic Fields
ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
wiley +1 more source
Dynamic k-Struve Sumudu solutions for fractional kinetic equations
In this present study, we investigate the solutions for fractional kinetic equations involving k-Struve function using the Sumudu transform. The graphical interpretations of the solutions involving k-Struve function and its comparison with generalized ...
Kottakkaran Sooppy Nisar +1 more
doaj +1 more source
Three methods for performing Hankel transforms [PDF]
Three methods for performing Hankel transforms with optical or digital processors are described. The first method is applicable when the input data is available in Cartesian (x-y) format and uses the close connection between generalized Hankel transform ...
Athale, R. A., Lee, J. N., Szu, H. H.
core +1 more source
Deep Learning Integration in Optical Microscopy: Advancements and Applications
It explores the integration of DL into optical microscopy, focusing on key applications including image classification, segmentation, and computational reconstruction. ABSTRACT Optical microscopy is a cornerstone imaging technique in biomedical research, enabling visualization of subcellular structures beyond the resolution limit of the human eye ...
Pottumarthy Venkata Lahari +5 more
wiley +1 more source
Some inequalities involving generalized Bessel functions [PDF]
Let up denote the normalized, generalized Bessel function of order p which depends on two parameters b and c and let λp(x) = up(x), x ≥ 0. It is proven that under some conditions imposed on p, b, and c the Askey inequality holds true for the function λp , i.e., that λp(x) +λp(y) ≤ 1 +λp(z), where x, y ≥ 0 and z = x + y.
openaire +1 more source
Integrating the Gestalt Model of Self With Psychedelic‐Assisted Psychotherapy
ABSTRACT This theoretical integration paper employs a conceptual analysis methodology to synthesize the Gestalt model of self‐as‐process with Psychedelic Somatic Interactional Psychotherapy (PSIP). Unlike traditional psychedelic therapy models that defer therapeutic engagement to postsession integration, PSIP emphasizes an active, directive therapeutic
Travis R. Fox
wiley +1 more source
ABSTRACT Purpose To develop accelerated 3D phase contrast (PC) MRI using jointly learned wave encoding and reconstruction. Methods Pseudo‐fully sampled neurovascular 4D flow data (N = 40) and a simulation framework were used to learn phase encoding locations, wave readout parameters, and model‐based reconstruction network (MoDL) for a rapid 3D PC scan (
Chenwei Tang +7 more
wiley +1 more source
A positive radial product formula for the Dunkl kernel
It is an open conjecture that generalized Bessel functions associated with root systems have a positive product formula for non-negative multiplicity parameters of the associated Dunkl operators. In this paper, a partial result towards this conjecture is
Rösler, Margit
core +2 more sources
Denoising framework for X‐ray absorption spectroscopy data
We introduce a high‐performance Python‐based XAS denoising package called XASDenoise, which implements our newly developed stationarity warping method and advanced denoising techniques based on Gaussian process regression and a convolutional autoencoder.X‐ray absorption spectroscopy (XAS) is a powerful tool for probing the structural and electronic ...
Tomas Aidukas +4 more
wiley +1 more source
Maximally dissipative and self‐adjoint extensions of K$K$‐invariant operators
Abstract We introduce the notion of K$K$‐invariant operators, S$S$, in a Hilbert space, with respect to a bounded and boundedly invertible operator K$K$ defined via K∗SK=S$K^*SK=S$. Conditions such that self‐adjoint and maximally dissipative extensions of K$K$‐invariant symmetric operators are also K$K$‐invariant are investigated.
Christoph Fischbacher +2 more
wiley +1 more source

