Results 91 to 100 of about 567,762 (287)
On the structure of the resolvent of a singularly perturbed operator that solves an eigenvalue problem [PDF]
Досліджується структура резольвенти сингулярно збуреного оператора скінченного рангу, який розв'язує задачу на власні значення.We investigate the structure of the resolvent of a singularly perturbed operator of finite rank that solves an eigenvalue ...
Тугай, Г.В. +1 more
core +2 more sources
In this paper, we show that, for a solution to the stationary Fokker–Planck equation with general coefficients, defined as a measure with an L 2 $L^{2}$ -density, this density not only exhibits H 1 , 2 $H^{1,2}$ -regularity but also Hölder continuity. To
Haesung Lee
doaj +1 more source
A formula for the resolvent of a Reynolds operator [PDF]
Let be a complex Banach algebra, possibly non-commutative, with identity e. By a Reynolds operator we mean here a bounded linear operator T: → satisfying the Reynolds identity for all x, y ∈ . We prove that under certain conditions the resolvent of T, R(p, T) = (pI−T)−1, has the form where s = −log(e−Te) and exp y = e+y+y2/2!+….
openaire +2 more sources
How structural disorder and polyelectrolyte properties of prothymosin α enable its large interactome
In this review, complexes of the fully disordered and highly negatively charged prothymosin α are collected, described, and discussed. Linked to its poly‐electrostatic character, prothymosin α engages a large interactome through multiple different binding modes ranging from fully disordered complexes to short linear motif (SLiM)‐driven interactions ...
Ketty C. Tamburrini +3 more
wiley +1 more source
Which brain hemisphere controls writing? This review synthesizes all five functional transcranial Doppler studies of writing (handwriting and typing) published to date in adults and children. Right‐handers show left‐hemispheric dominance for the linguistic component of writing (written word generation), whereas findings for left‐handers remain ...
Marietta Papadatou‐Pastou
wiley +1 more source
ON ITERATIVE CONVERGENCE OF RESOLVENTS OF ACCRETIVE OPERATORS
For solving the inclusion \(0 \in Ax\) for an accretive operator \(A\) on a real Banach space, the author considers iterations \(x_{n+1} = \alpha_n x_n + (1 - \alpha_n) y_n\), where \(y_n\) is an approximation of \((I + r A)^{-1}x_n\) in a given closed convex set. Weak and strong convergence results are proved and the method is applied to equations \(x
openaire +2 more sources
Mitochondrial translation and coordinated cytosolic translation in metabolic homeostasis and disease
Mitochondrial function depends on coordinated protein production from the nuclear and mitochondrial genomes. This review highlights how cytosolic and mitochondrial translation, mRNA localization, protein import, and respiratory complex assembly are integrated to maintain mitochondrial proteostasis and function.
Boseon Kim +4 more
wiley +1 more source
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj +1 more source
On rational normal curves in projective space [PDF]
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S. +50 more
core +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source

