Results 61 to 70 of about 45,782 (275)
Totally nonnegative matrices [PDF]
, 1999 An m-by-n matrix A is called totally nonnegative (resp. totally positive) if the determinant of every square submatrix (i.e., minor) of A is nonnegative (resp. positive).
Fallat, Shaun M.
core +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS 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
On the boundary of totally positive upper triangular matrices [PDF]
, 1995 Let B+ ⊂ GLn (R) denote the subgroup of upper triangular n × n matrices with positive entries on the main diagonal. A matrix M ∈ B+ is called totally positive if the determinants of all its minors not containing a row or column lying completely under the
Shapiro, B.Z., Shapiro, M.Z.
core +1 more source
The general totally positive matrix completion problem with few unspecified entries
The Electronic Journal of Linear Algebra, 2000 For \(m\times n\) partial totally positive matrices with exactly one unspecified entry, the set of positions for that entry that guarantee completability to a totally positive matrix are characterized. They are the positions \((i,j)\), \(i+j\leq 4\) and the positions \((i,j)\), \(i+j\geq m+n-2\).
Fallat, Shaun M. +2 more
openaire +3 more sources
Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
A probabilistic representation of totally positive matrices [PDF]
, 1986 C. Loewner (Math. Z. 63 (1955), 338–340) has shown that every non-singular totally positive matrix of finite order can be reached from the identity by forward solutions of the control equation dRdt = C(t)R, when C(t) varies in the class of Jacobi ...
Goodman, Gerald S
core +1 more source
Total positivity of the discrete spline collocation matrix
Journal of Approximation Theory, 1983 AbstractFor an integer k ⩾ 1, let t:=(ti), be a non-decreasing real sequence with ti $̌ti, k, and let Ni,k,t(x):= (¦ti + 1,…,ti + k¦ − ¦ti,…, tj, k − 1¦)(. − x)k, 1. It is wellknown that Ni,k,t are B-splines of order k for the knot sequence t. Suppose that μ:= (μj)∞∞ is a sequence of integers and τj:= tμj. Then Nj,k,τ allows the representation Nj,k,τ =
openaire +2 more sources
FEBS Letters, EarlyView.The process of internalization of the Shiga toxin A subunit via formation of a complex with the Shiga toxin B subunit, which specifically binds to the Gb3 receptor. The peptide is designed to act as a carrier of drugs into cancer cells. Here, we explored the potential of peptides derived from the catalytic A subunit of Shiga toxin (STxA) to be drug ...
Giulia Opassi +6 more
wiley +1 more source
Tropical totally positive cluster varieties [PDF]
, 2022 We study the relation between the integer tropical points of a cluster variety (satisfying the full Fock-Goncharov conjecture) and the totally positive part of the tropicalization of an ideal presenting the corresponding cluster algebra.
Bossinger, Lara
core +1 more source
On the Unitary Representations of the Braid Group B6
Mathematics, 2019 We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
doaj +1 more source