Results 61 to 70 of about 394,445 (282)
A Presentation Theorem of the Spherical Wave Functions [PDF]
Mathematical and Computational Applications, 1998 Let \(\phi_{i}^{*}\) and \(\psi_{i} (i=0,1,...,n-1)\) are the solutions of the equations \(\boxdot^{2} - \frac{n-1}{r^{2}}\phi_{i}=0\) and \(\boxdot^{2} \psi_{i}=0\) respectively. In this paper it is shown that if \(u\) and \(v\) are satisfied by the equations \((\boxdot^{2} - \frac{n-1}{r^{2}})^{n} u = 0\) and \(\boxdot^{2n} v =0\) respectively then \(
openaire +4 more sources
A Bibliometric Analysis of Publications in Uremic Toxins From 1991 to 2024
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Uremic toxins are a growing area of research in nephrology, with significant implications in the progression and treatment of chronic kidney disease (CKD) and the management of end‐stage kidney disease (ESKD). This bibliometric analysis aims to evaluate the global research trends, key contributors, and the impact of publications in ...
Yuh‐Shan Ho +7 more
wiley +1 more source
On unitarity of spherical representations
Duke Mathematical Journal, 1990 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
Unique compact representation of magnetic fields using truncated solid harmonic expansions
European Journal of Applied MathematicsPrecise knowledge of magnetic fields is crucial in many medical imaging applications such as magnetic resonance imaging (MRI) or magnetic particle imaging (MPI), as they form the foundation of these imaging systems. Mathematical methods are essential for
Marija Boberg +2 more
doaj +1 more source
Spherical polyharmonics and Poisson kernels for polyharmonic functions
, 2018 We introduce and develop the notion of spherical polyharmonics, which are a natural generalisation of spherical harmonics. In particular we study the theory of zonal polyharmonics, which allows us, analogously to zonal harmonics, to construct Poisson ...
Grzebuła, Hubert, Michalik, Sławomir
core +1 more source
Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
Direct Transformation of Laplace Equation’s Solution from Spherical to Cartesian Representation
MathematicsThe description of the Earth’s gravitational field, governed by the fundamental potential equation (the Laplace equation), is conventionally expressed using spherical harmonics, yet the Cartesian formulation, using a Taylor series representation, offers ...
Gibárt Gilányi
doaj +1 more source
A Light-Ray Approach to Fractional Fourier Optics
Fractal and Fractional, 2023 A light ray in space is characterized by two vectors: (i) a transverse spatial vector associated with the point where the ray intersects a given spherical cap; (ii) an angular-frequency vector which defines the ray direction of propagation. Given a light
Éric Fogret, Pierre Pellat-Finet
doaj +1 more source
An adaptive spherical view representation for navigation in changing environments [PDF]
, 2009 Real-world environments such as houses and offices change over time, meaning that a mobile robot’s map will become out of date. In previous work we introduced a method to update the reference views in a topological map so that a mobile robot could ...
Cielniak, Grzegorz +2 more
core +1 more source