Results 81 to 90 of about 6,156 (296)

Table of associated Legendre functions of the second kind for values on the real axis [PDF]

, 2019
This dataset is a tabulation of associated Legendre functions of the second, sometimes called the irregular solutions, computed for values on the real axis ranging from 0.0 to 10.0. It was created by a new program which has been implemented in C++ using
Gillan, Charles (5210159), Gillan, Charles   +1 more
core   +1 more source

Selecting Promising Soil Quality Indicators for Monitoring Soil Management Effects Based on 10 European Long‐Term Field Experiments

Journal of Plant Nutrition and Soil Science, EarlyView.
ABSTRACT Background: Soil quality can be measured through soil quality indicators that reflect soil processes. Aim: The aim of this study was to (1) identify a limited set of soil quality indicators that are most sensitive to agricultural soil management and that are widely applicable regardless of pedo‐climatic conditions, and (2) link common ...
Giulia Bongiorno, Marie Wesselink, Wim van den Berg, Zhanguo Bai, Ron de Goede, Carla Sofia Santos Ferreira, Luuk Fleskens, Matjaz Glavan, Wiepie Haagsma, Paul Mäder, Alicia Morugan‐Coronado, Harry Verstegen, Zoltan Toth, Wijnand Sukkel, Else K. Bünemann   +14 more
wiley   +1 more source

Three‐Dimensional Optical Characterization of Magnetostrictive Deformation in Magnomechanical Systems

Laser &Photonics Reviews, EarlyView.
An optical approach is proposed for real‐time and high‐precision detection of the magnetostrictive deformation of an yttrium‐iron‐garnet sphere in three dimensions, based on the deformation induced spatial high‐order modes of the scattered field, postselection, and balanced homodyne detection.
Xiaomin Liu, Jing Zhang, Jie Li, Rongguo Yang, Jiangrui Gao, Tiancai Zhang   +5 more
wiley   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo, Precious Sibanda, S. P. Goqo   +2 more
wiley   +1 more source

Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions [PDF]

, 2010
It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner.
Cvijović, Djurdje, Cvijović, Đurđe
core   +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

Remarks on the zeros of the associated legendre functions with integral degree [PDF]

, 2007
J. F. van Diejen. Instituto de Matemática y Física, Universidad de Talca, Casilla, 747 Talca, Chile.We present some formulas for the computation of the zeros of the integral-degree associated Legendre functions with respect to the ...
Van Diejen, J.F.
core  

On finite integrals involving trigonometric, Bessel, and Legendre functions [PDF]

, 1969
A finite integral involving the product of powers of trigonometric functions, up to two associated Legendre functions, and zero or one Bessel function is evaluated.
Richard L. Lewis
core   +1 more source

Beyond Directions: Symmetry‐Aware Rotation Sets for Triaxial Diffusion Encoding by Geometric Filter Optimization

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2$$ {D}_2 $$) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations).
Sune Nørhøj Jespersen, Filip Szczepankiewicz   +1 more
wiley   +1 more source

A simple construction of a fundamental solution for the extended Weinstein equation

Cubo
In this article, we study the extended Weinstein equation \[ Lu=\Delta u+\frac{k}{x_n}\frac{\partial u}{\partial x_n}+\frac{\ell}{x_n^2}u, \] where \(u\) is a sufficiently smooth function defined in \(\mathbb{R}^n\) with \(x_n>0\) and \(n\ge 3\).
Sirkka-Liisa Eriksson, Heikki Orelma
doaj   +1 more source