Results 61 to 70 of about 364 (182)

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

On Geometric Phase Model in the Theory of Curves With Myller Configuration

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir, Bahar Doğan Yazıcı, Murat Tosun   +2 more
wiley   +1 more source

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Four Directions, One Solution: Enabling Rapid Diffusion Tensor MRI for Ultra‐Low Field Using Deep Learning

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose This study revisits the tetrahedral encoding strategy originally proposed to accelerate Diffusion Tensor Magnetic Resonance Imaging (DT‐MRI) by reducing the requisite number of diffusion‐weighted measurements to four. We examine its practical limitations and explore how artificial intelligence (AI) can extend its utility. Specifically,
Joshua Mawuli Ametepe, James Gholam, Leandro Beltrachini, Mara Cercignani, Derek Kenton Jones   +4 more
wiley   +1 more source

A Coupled Chemohydraulic Model of a Hydration Experiment

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This article presents a model for the hydration of periclase into brucite during water infiltration into a dry, pure periclase core. The hydration process proceeds in two stages. In Phase I, an infiltration front advances through the core while simultaneously triggering the hydration reaction.
Emmanuel Detournay, Vaughan Voller
wiley   +1 more source

The Weak Core, Partition‐Based Universal Stability, and Their Risk Associations Through A Partial Order

Naval Research Logistics (NRL), EarlyView.
ABSTRACT We are concerned with the stability of a transferable‐utility cooperative (TU) game. First, the concept of core can be weakened so that the blocking of changes is limited to only those with multilateral backings. This principle of consensual blocking, as well as the traditional core‐defining one of unilateral blocking and one straddling in ...
Jian Yang
wiley   +1 more source

Self‐Service and Home Delivery Combined: Coordinating the Route of a Mobile Parcel Locker With the Delivery Tasks of Its Human Driver

Networks, EarlyView.
ABSTRACT In response to the increasing volume of parcels, last‐mile delivery innovations are exploring the integration of multiple delivery modes. The most prominent examples are delivery vans that, next to being the base for the delivery tasks of their human drivers, also function as mobile launching platforms for drones or autonomous delivery robots.
Nils Boysen, Dirk Briskorn, Stefan Schwerdfeger   +2 more
wiley   +1 more source

Calibrating p‐values in ecology: a practical framework for integrating prior plausibility into statistical inference

Oikos, EarlyView.
Misinterpretation of p‐values, coupled with insufficient consideration of the prior plausibility of ecological hypotheses, leads to overconfident and often unreliable inference in ecological research. To address this issue, we present a methodological framework for p‐value calibration that reinterprets conventional p‐values through minimum Bayes ...
Rafael Dettogni Guariento, Anderson da Rocha Gripp, Adriano Caliman   +2 more
wiley   +1 more source