Results 101 to 110 of about 27,120 (203)
A Sub‐Microsecond Switch Enabling SWIFT 23Na Imaging at 10.5 T
ABSTRACT PurposeTo enable sodium SWIFT imaging, which is a zero‐echo time imaging technique, at ultra‐high magnetic fields through the development of custom electronics hardware, and to showcase this capability with in vivo imaging results. MethodsThe custom hardware developed consists of a high‐speed optical trigger with 10 ns resolution, an in‐bore ...
Russell L. Lagore +10 more
wiley +1 more source
In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
doaj +1 more source
Asymptotic formulae of generalized chebyshev functions [PDF]
In this paper we study the behavior of certain generalized Chebyshev functions over the square r-free integers and will prove Selberg's inequality for such ...
Calderón, Catalina +1 more
core
Polynomial Preconditioning for Indefinite Matrices
ABSTRACT Polynomial preconditioning is an important tool in solving large linear systems and eigenvalue problems. A polynomial from GMRES can be used to precondition restarted GMRES and restarted Arnoldi. Here we give methods for indefinite matrices that make polynomial preconditioning more generally applicable. The new techniques include balancing the
Hayden Henson, Ronald B. Morgan
wiley +1 more source
On Chebyshev polynomials of matrices [PDF]
The mth Chebyshev polynomial of a square matrix A is the monic polynomial that minimizes the matrix 2-norm of $p(A)$ over all monic polynomials $p(z)$ of degree m. This polynomial is uniquely defined if m is less than the degree of the minimal polynomial
Faber, Vance +2 more
core +1 more source
Diffusion Approximation to Neutron Transport Equation with First Kind of Chebyshev Polynomials
: The first kind of Chebyshev polynomials are used for the series expansion of the neutron angular flux in neutron transport theory. The first order approximation known as the diffusion approximation is applied to one-dimensional neutron transport ...
Ökkeş EGE +2 more
doaj
ABSTRACT Mandated annuitization is often proposed to eliminate the inefficiency caused by the positive correlation between risk type and purchase level in insurance markets. We revisit this solution in a mandatory annuity program with partial waiver, which is empirically relevant.
Sau‐Him Paul Lau +2 more
wiley +1 more source
Solving Stochastic Climate‐Economy Models: A Deep Least‐Squares Monte Carlo Approach
ABSTRACT Stochastic versions of recursive integrated climate‐economy assessment models are essential for studying and quantifying policy decisions under uncertainty. However, as the number of state variables and stochastic shocks increases, solving these models via deterministic grid‐based dynamic programming (e.g., value‐function iteration/projection ...
Aleksandar Arandjelović +4 more
wiley +1 more source
ABSTRACT Risk assessors typically estimate long‐term exposure by calculating a 95th percentile upper confidence level (95UCL) on the mean concentration across an exposure area. There are several methods for calculating a 95UCL. The United States Environmental Protection Agency has developed software (ProUCL) that calculates and recommends a 95UCL ...
Leah D. Stuchal +4 more
wiley +1 more source
Mixed motives and linear forms in the Catalan constant
Abstract We first give a geometric construction of a two‐dimensional mixed motive over Q${\mathbb {Q}}$ with the Catalan constant G=1−1/32+1/52−1/72+⋯${\mathbf {G}}=1-1/3^2+1/5^2-1/7^2+\cdots$ as a period. We then use this motive to obtain a supply of linear forms in 1 and G${\mathbf {G}}$.
Payman Eskandari +2 more
wiley +1 more source

