Results 201 to 210 of about 275,056 (272)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos   +1 more
wiley   +1 more source

Most totally real fields do not have universal forms or the Northcott property. [PDF]

open access: yesProc Natl Acad Sci U S A
Daans N   +4 more
europepmc   +1 more source

Exploring Asymptotic Normality in Multinomial Models

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes   +3 more
wiley   +1 more source

Quantitative Diffusion and T2 Mapping Using RF‐Modulated Phase‐Based Gradient Echo Imaging

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To introduce and evaluate the feasibility of a novel RF‐phase modulated gradient echo (GRE) method for quantitative diffusion MRI, aimed at mitigating geometric distortion and enabling high‐resolution 3D quantitative diffusion/T2 mapping as a complementary alternative to conventional DWI.
Daiki Tamada   +4 more
wiley   +1 more source

Phase‐Pole‐Free Images and Smooth Coil Sensitivity Maps by Regularized Nonlinear Inversion

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Phase singularities are a common problem in image reconstruction with auto‐calibrated sensitivities due to an inherent ambiguity of the estimation problem. The purpose of this work is to develop a method for detecting and correcting phase poles in non‐linear inverse (NLINV) reconstruction of MR images and coil sensitivity maps ...
Moritz Blumenthal, Martin Uecker
wiley   +1 more source

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