Results 41 to 50 of about 41,990 (343)

On best conditioned matrices [PDF]

Proceedings of the American Mathematical Society, 1955
1. Main theorems. Let A be a positive definite Hermitian matrix of finite order, and let A and X be its maximal and minimal eigenvalue respectively. The condition number of A is the ratio P(A) =A/X introduced by Todd [1]. Let 'G be a class of regular linear transformations. Define ATT*A T. We say that A is best conditioned with respect to 'G if P(A T) >
Forsythe, G. E., Straus, E. G.
openaire   +1 more source

Advancing Text-to-Image Generation: A Comparative Study of StyleGAN-T and Stable Diffusion 3 under Neutrosophic Sets [PDF]

Neutrosophic Sets and Systems
Recent advances in generative models have revolutionized the technology employed for image synthesis quite significantly, and two paradigms—GANs and diffusion-based models—are leading the pack of innovation.
Mohamed G Sadek, A.Y. Hassan, Tamer O. Diab, Ahmed Abdelhafeez   +3 more
doaj   +1 more source

Approximation of linear one dimensional partial differential equations including fractional derivative with non-singular kernel

Advances in Difference Equations, 2021
In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the Caputo–Fabrizio fractional derivative.
Raheel Kamal, Kamran, Gul Rahmat, Ali Ahmadian, Noreen Izza Arshad, Soheil Salahshour   +5 more
doaj   +1 more source

Chebfun Solutions to a Class of 1D Singular and Nonlinear Boundary Value Problems

Computation, 2022
The Chebyshev collocation method implemented in Chebfun is used in order to solve a class of second order one-dimensional singular and genuinely nonlinear boundary value problems.
Călin-Ioan Gheorghiu
doaj   +1 more source

Singular-Value-Decomposition-Based Matrix Surgery

Entropy
This paper is motivated by the need to stabilise the impact of deep learning (DL) training for medical image analysis on the conditioning of convolution filters in relation to model overfitting and robustness.
Jehan Ghafuri, Sabah Jassim
doaj   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

A Direct Eigenanalysis of Multibody System in Equilibrium

Journal of Applied Mathematics, 2012
This paper presents a direct eigenanalysis procedure for multibody system in equilibrium. The first kind Lagrange’s equation of the dynamics of multibody system is a set of differential algebraic equations, and the equations can be used to solve the ...
Cheng Yang, Dazhi Cao, Zhihua Zhao, Zhengru Zhang, Gexue Ren   +4 more
doaj   +1 more source

Matrices in Perfect Condition

Irish Mathematical Society Bulletin, 1995
A nonsingular real matrix is said to be perfectly conditioned if its condition number is equal to one. In this paper it is shown that a nonsingular real matrix is perfectly conditioned if and only if the matrix is a nonzero scalar multiple of a norm-preserving linear operator.
openaire   +2 more sources

An upstream open reading frame regulates expression of the mitochondrial protein Slm35 and mitophagy flux

FEBS Letters, EarlyView.
This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva, Ariann E. Mendoza‐Martínez, P. Abril Medina‐Flores, Carlos Campero‐Basaldua, Alexander DeLuna, Soledad Funes   +5 more
wiley   +1 more source

Structural instability impairs function of the UDP‐xylose synthase 1 Ile181Asn variant associated with short‐stature genetic syndrome in humans

FEBS Letters, EarlyView.
The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li, Pedro A. Sánchez‐Murcia, Bernd Nidetzky   +2 more
wiley   +1 more source