Results 41 to 50 of about 5,078 (233)
Cayley–Dixon projection operator for multi-univariate composed polynomials
The Cayley–Dixon formulation for multivariate projection operators (multiples of resultants of multivariate polynomials) has been shown to be efficient (both experimentally and theoretically) for simultaneously eliminating many variables from a ...
Chtcherba, Arthur D. +2 more
core +1 more source
Purpose To evaluate the reliability and validity of objective fat quantification using the modified Dixon magnetic resonance imaging sequence for assessing fatty degeneration in conservatively treated patients with proximal hamstring avulsion injuries. Methods Magnetic resonance imaging with modified Dixon sequence was used.
John Hanke +5 more
wiley +1 more source
Structured matrix methods for computations on Bernstein basis polynomials [PDF]
This thesis considers structure preserving matrix methods for computations on Bernstein polynomials whose coefficients are corrupted by noise. The ill-posed operations of greatest common divisor computations and polynomial division are considered, and it
Yang, Ning
core
Objective To compare the multisequence standard magnetic resonance imaging (sMRI) protocol of the sacroiliac joints with a single high‐resolution deep learning–reconstructed Dixon sequence (DL‐Dixon) in patients with suspected axial spondyloarthritis (axSpA). Methods Seventy‐six patients with chronic low back pain and suspected axSpA underwent clinical,
Dominik Deppe +12 more
wiley +1 more source
A comparison of menu-costs in open and closed economies with a mixed industrial structure [PDF]
In this paper we develop Dixon and Hansen (1997) to allow for two-sector small open economy in which the non-traded sector is monopolistic. The closed economy version of the model generalises Dixon/Hansen to allow for diminishing returns on the traded ...
Huw Dixon, Alberto Pompermaier
core +2 more sources
Getting smaller Dixon dialytic matrix through system manipulating [PDF]
Resultant is the result of eliminating the variables from a system of polynomials. Compared with other matrix based methods such as Sylvester, Macaulay and Sturmfels et al, Dixon formulation is one of the most efficient tools to compute resultants ...
Aris, Nor'aini +2 more
core
Abstract Cross‐disciplinary research is a priority for many academic institutions, with a growing body of scholarship dedicated to studying the central practice of cross‐disciplinarity: integration, or the synthesis of knowledge, information, and data across disciplines and domains.
Ciara Zogheib
wiley +1 more source
On the Efficiency and Optimality of Dixon-based Resultant Methods
Structural conditions on polynomial systems are developed for which the Dixon-based resultant methods often compute exact resultants. For cases when this cannot be done, the degree of the extraneous factor in the projection operator computed using the ...
Deepak Kapur, Arthur Chtcherba
core
Abstract Academic misconduct appeal services have quietly emerged within China's education marketplace, with commercial agencies promoting themselves on social media to assist international students facing misconduct hearings. While existing research on academic integrity has emphasized prevention and detection, far less attention has been paid to what
Gengyan Tang +2 more
wiley +1 more source
Fast Computation of the Bezout and Dixon Resultant Matrices
Efficient algorithms are derived for computing the entries of the Bezout resultant matrix for two univariate polynomials of degree n and for calculating the entries of the Dixon–Cayley resultant matrix for three bivariate polynomials of bidegree (m, n ...
Ronald +3 more
core

