Results 31 to 40 of about 10,628 (259)

Accurate Computations with Generalized Pascal k-Eliminated Functional Matrices

open access: yesMathematics
This paper presents an accurate method to obtain the bidiagonal decomposition of some generalized Pascal matrices, including Pascal k-eliminated functional matrices and Pascal symmetric functional matrices.
Jorge Delgado   +2 more
doaj   +1 more source

How Dirac's Seminal Contributions Pave the Way for Comprehending Nature's Deeper Designs

open access: yesQuanta, 2019
Credible reasons are presented to reveal that many of the lingering century old enigmas, surrounding the behavior of at least an individual quantum particle, can be comprehended in terms of an objectively real specific wave function.
Mani Lal Bhaumik
doaj   +1 more source

An Optimal Property of B-Bases for the Modified Richardson Method

open access: yesAxioms
A space with a normalized totally positive basis has a unique normalized B-basis. In computer-aided geometric design, normalized B-bases present optimal shape-preserving properties.
Juan Manuel Peña
doaj   +1 more source

Permanental Inequalities for Totally Positive Matrices

open access: yesThe Electronic Journal of Combinatorics
We characterize ratios of permanents of (generalized) submatrices which are bounded on the set of all totally positive matrices. This provides a permanental analog of results of Fallat, Gekhtman, and Johnson [Adv. Appl. Math. 30 (2003), 442-470] concerning ratios of matrix minors. We also extend work of Drake, Gerrish, and the first author [Electron. J.
Mark A. Skandera, Daniel Soskin
openaire   +2 more sources

Tau acetylation at K331 has limited impact on tau pathology in vivo

open access: yesFEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto   +3 more
wiley   +1 more source

High Relative Accuracy for Corner Cutting Algorithms

open access: yesAxioms
Corner cutting algorithms are important in computer-aided geometric design and they are associated to stochastic non-singular totally positive matrices. Non-singular totally positive matrices admit a bidiagonal decomposition. For many important examples,
Jorge Ballarín   +2 more
doaj   +1 more source

Gaussian Markov Random Fields and totally positive matrices

open access: yesJournal of Computational and Applied Mathematics, 2023
This research was partially supported through the Spanish research grant PGC2018-096321-B-I00 (MCIU/AEI), Gobierno de Aragón, Spain (E41_20R) and the Spanish Ministry of Science and Technology (TIN-2017-87600-P)
Juan Baz   +3 more
openaire   +4 more sources

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy

open access: yesFEBS Letters, EarlyView.
The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson   +6 more
wiley   +1 more source

The Application of the Bidiagonal Factorization of Totally Positive Matrices in Numerical Linear Algebra

open access: yesAxioms
The approach to solving linear systems with structured matrices by means of the bidiagonal factorization of the inverse of the coefficient matrix is first considered in this review article, the starting point being the classical Björck–Pereyra algorithms
José-Javier Martínez
doaj   +1 more source

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

open access: yesFEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa   +2 more
wiley   +1 more source

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