Results 71 to 80 of about 1,847 (220)
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 +1 more
wiley +1 more source
Study of the zeros of the associated orthogonal q-polynomials [PDF]
, 2004 In this thesis, we study the monotonicity properties and the convexity of the zeros of some families of associated orthogonal q-polynomials. Also, we calculate the Newton sum rules of these zeros.
Stabolas, Ioannis +1 more
core +1 more source
On a Class of Integrals Involving a Bessel Function Times Gegenbauer Polynomials
International Journal of Mathematics and Mathematical Sciences, 2007 We provide information and explicit formulae for a class of integrals involving Bessel functions and Gegenbauer polynomials. We present a simple proof of an old formula of Gegenbauer.
Stamatis Koumandos
doaj +1 more source
Numerical solution of certain Cauchy singular integral equations using a collocation scheme
Advances in Difference Equations, 2020 The present study is devoted to developing a computational collocation technique for solving the Cauchy singular integral equation of the second kind (CSIE-2). Although, several studies have investigated the numerical approximation solution of CSIEs, the
Ali Seifi
doaj +1 more source
Analysis of the fractional scattering contribution in the forward peak for multicomponent systems
Quarterly Journal of the Royal Meteorological Society, EarlyView.Derivation and justification of mixing rules for multicomponent systems. A novel formulation of the delta‐Eddington scaling rule. Analytical guidance for comparing radiative transfer results. Abstract The widely used δ‐Eddington approximation improves the accuracy of radiative transfer calculations by representing the fraction of scattering into the ...
Jiangnan Li, Yue Cai
wiley +1 more source
On Legendre functions of imaginary degree and associated integral transforms [PDF]
, 2003 New integral representations, asymptotic formulas, and series expansions in powers of tanh(t/2) are obtained for the imaginary and real parts of the Legendre function Piξ(cosht).
Malits, P.
core +1 more source
IEEE AccessStochastic optimal control problems are commonly formulated as optimization problems constrained by stochastic dynamical systems, whose value functions satisfy Hamilton–Jacobi–Bellman (HJB) equations.
Alvian Alif Hidayatullah +7 more
doaj +1 more source
Residual permutation tests for feature importance in machine learning
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Psychological research has traditionally relied on linear models to test scientific hypotheses. However, the emergence of machine learning (ML) algorithms has opened new opportunities for exploring variable relationships beyond linear constraints.
Po‐Hsien Huang
wiley +1 more source
Translation and scale invariants of Legendre moments [PDF]
, 2004 By convention, the translation and scale invariant functions of Legendre moments are achieved by using a combination of the corresponding invariants of geometric moments.
Chong, C
core +1 more source
Archives of MechanicsThe dispersion and attenuation characteristics of SH waves in piezoelectric semiconductor multilayered plates with imperfect interfaces are investigated using the improved Legendre orthogonal polynomial method.
Y.H. Luo, X.M. Zhang, A.R. Gao
doaj +1 more source