Results 41 to 50 of about 2,436,536 (336)
A note on convexity of sections of quaternionic numerical range
, 2018 The quaternionic numerical range of matrices over the ring of quaternions is not necessarily convex. We prove Toeplitz-Hausdorff like theorem, that is, for any given quaternionic matrix every section of its quaternionic numerical range is convex.
Kumar, P. Santhosh
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Numerical Range and the Dynamics of a Rational Function
, 2010 Sometimes we obtain attractive results when associating facts to simple elements. The goal of this work is to introduce a possible alternative in the study of the dynamics of rational ...
Cabral, J., Melo, H.
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ON THE NUMERICAL RANGE OF EP MATRICES [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this work we study the numerical range $W(T)$ of EP matrices or operators having a canonical form $T = U(A\oplus 0)U^* $ in the case when $0 \notin W(A)$. As a result, we define the distance $d(W(A,T))$ between the sets $W(A)$ and $W(T)$ and investigate their connenctions, giving also upper and lower bounds for the distance $d(W(A^{-1},T^\dagger))$.
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Canopy height model and NAIP imagery pairs across CONUS
Scientific DataCanopy height models (CHM) provide detailed environmental vertical structure information and are an important indicator and input for ecological and geospatial applications.
Brady W. Allred +2 more
doaj +1 more source
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
FEBS Letters, EarlyView.Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
RAD50 missense variants differentially affect the DNA damage response and mitotic progression
FEBS Letters, EarlyView.RAD50 incorporates into the MRN complex and initiates the DNA damage response. Furthermore, RAD50 promotes mitotic progression. RAD50 missense variants capable of forming an MRN complex supported the DNA damage response and mitotic features to different extents in complementation experiments, indicating these functions are separable and might impact ...
Hanna Redeker +9 more
wiley +1 more source
Numerical treatment of long-range Coulomb potential with Berggren bases
, 2011 The Schrodinger equation incorporating the long-range Coulomb potential takes the form of a Fredholm equation whose kernel is singular on its diagonal when represented by a basis bearing a continuum of states, such as in a Fourier-Bessel transform ...
Michel, N.
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On positivity and roots in operator algebras [PDF]
, 2014 In earlier papers the second author and Charles Read have introduced and studied a new notion of positivity for operator algebras, with an eye to extending certain C*-algebraic results and theories to more general algebras.
Bearden, Clifford A. +2 more
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FEBS Letters, EarlyView.Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi +5 more
wiley +1 more source
On the closure of the numerical range of an operator [PDF]
Proceedings of the American Mathematical Society, 1967 If T is a bounded linear mapping (briefly, operator) in a Hilbert space SC, the numerical range of T is the set W(T) = { (Tx, x): x|| ==1}; thus W(T) is convex [8, p. 131], and its closure cl[W(T)] is compact and convex. Roughly speaking, in this note we observe that cl [W(T)] can be uniquely defined for an element T of an abstract C*-algebra, while W ...
Berberian, S. K., Orland, G. H.
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