Results 21 to 30 of about 615 (135)
Rational points in a family of conics over F2(t)$\mathbb {F}_2(t)$
Abstract Serre famously showed that almost all plane conics over Q$\mathbb {Q}$ have no rational point. We investigate versions of this over global function fields, focusing on a specific family of conics over F2(t)$\mathbb {F}_2(t)$ which illustrates new behavior.
Daniel Loughran, Judith Ortmann
wiley +1 more source
We use synthetic (Aim 1), human brain (Aim 2) and phantom (Aim 3) data to assess how basis set choice affects Glu, tCr, tNAA and tCho quantification, focusing on the bias–variance trade‐off under varying SNR conditions. Including GABA, GSH, NAAG and glucose improved Glu estimates, reducing bias and variance below 10%.
Polina Emeliyanova +3 more
wiley +1 more source
Fast algorithms for the numerical solution of linear systems with centrosymmetric Toeplitz plus Hankel matrices are developed. They make use of the symmetries, by splitting and partitioning the matrix. The relations between Chebyshev polynomials and Chebyshev-Hankel matrices give rise to algorithms based on real trigonometric transforms.
openaire +2 more sources
Unitary parts of contractive Hankel matrices [PDF]
For a Hankel matrix H = ( c j + k ) H = ({c_{j + k}}) which is a contraction, necessary and sufficient conditions are obtained for the existence of a nontrivial unitary part, and an explicit description of ...
openaire +1 more source
Implicit third‐order Peer two‐step methods that are superconvergent for variable stepsizes have the potential to significantly improve the efficiency of solving large‐scale ODE‐constrained optimal control problems. These include real‐world applications in medical treatment planning for prostate cancer, such as the design of effective three‐dose drug ...
Jens Lang, Bernhard A. Schmitt
wiley +1 more source
On infinite-dimensional integer Hankel matrices
We construct a parametric family of infinite-dimensional integer Hankel matrices, each of matrices of this family has the following property: its principal submatrices are nonsingular, and the set of prime divisors of the determinants of the principal submatrices coincides with the set of all primes.
V. P. Platonov, M. M. Petrunin
openaire +2 more sources
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
Tackling High Dimensionality in QSP: Guiding Model Order Reduction With Index Analysis
ABSTRACT Quantitative systems pharmacology (QSP) models offer a useful platform to integrate drug pharmacology with knowledge about biological mechanisms across multiple scales and data sources into a unified quantitative framework. This makes them invaluable to address many relevant questions in drug research and development.
Johannes Tillil +2 more
wiley +1 more source
Upon ischemia/reperfusion‐induced iron overload condition, neurons and astrocytes exhibit similar oxidative stress changes but opposite alterations in endogenous antioxidant defense mechanisms, leading to divergent ferroptotic outcomes. The iron deposition and neuronal loss are increased within the perilesional cortex of stroke patients ...
Yi Guo +17 more
wiley +1 more source

