Results 151 to 160 of about 996,598 (373)

Hankel Determinant and Orthogonal Polynomials for a Perturbed Gaussian Weight: from Finite $n$ to Large $n$ Asymptotics [PDF]

, 2022
Chao Min, Yang Chen
openalex   +1 more source

On orthogonal polynomials [PDF]

Transactions of the American Mathematical Society, 1931
openaire   +2 more sources

Space‐Time FEM Solution of Dynamic Contact Problem With Discontinuous Velocity for Multiple Impact of Deformed Bar Using PDAS Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko, Adrien Petrov, Yves Renard   +2 more
wiley   +1 more source

An Adomian decomposition method with some orthogonal polynomials to solve nonhomogeneous fractional differential equations (FDEs)

AIMS Mathematics
The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials.
Mariam Al-Mazmumy , Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami , Saleh S. Redhwan   +4 more
doaj   +1 more source

What If Each Voxel Were Measured With a Different Diffusion Protocol?

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho, Gregory Lemberskiy, Ante Zhu, Hong‐Hsi Lee, Nastaren Abad, Thomas K. F. Foo, Els Fieremans, Dmitry S. Novikov   +7 more
wiley   +1 more source

Quantitative Susceptibility Mapping in Skull Base Chordoma: In Silico Analysis and In Vivo Application Towards Indirect Hypoxia Assessment

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate quantitative susceptibility mapping (QSM) beyond the brain through realistic simulations and to explore preliminary evidence that may be indicative of hypoxia in skull base chordomas (SBC). Methods Each step of the QSM pipeline was optimized within an in silico framework consisting of (i) phase unwrapping, (ii) background ...
P. Fenech, L. Morelli, G. Parrella, S. Imparato, A. Iannalfi, S. Lillo, E. Orlandi, G. Baroni, C. Paganelli   +8 more
wiley   +1 more source

On zeros of regular orthogonal polynomials on the unit circle [PDF]

, 1993
Pablo Lázaro, Francisco Marcellán
openalex   +1 more source

Velocity Spectrum Imaging Using Velocity Encoding Preparation Pulses

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The goal of this article is to introduce a technique to measure the velocity distribution of water inside each voxel of an MR image. The method is based on the use of motion sensitizing gradients with changing first moment to encode velocity. As such, it is completely non‐invasive and requires no contrast injections.
Luis Hernandez‐Garcia, Alberto L. Vazquez, Douglas C. Noll   +2 more
wiley   +1 more source

Alternative Jacobi Polynomials and Orthogonal Exponentials [PDF]

, 2011
Vladimir S. Chelyshkov
openalex   +1 more source

Colours of urban selection: carotenoid‐based signals reveal divergent urban/rural evolutionary trajectories in two closely related passerines

Oikos, EarlyView.
Urbanisation is a major driver of environmental change, reshaping ecological and evolutionary processes. Urban‐driven phenotypic differences are increasingly documented, but the underlying role of selection is still understudied. One pattern is the consistent reduction of carotenoid‐based plumage pigmentation in city birds.
Nicolas Bekka, Simon Agostini, Samuel Perret, Clotilde Biard   +3 more
wiley   +1 more source