Results 31 to 40 of about 8,171 (292)
Superpositions for nonlinear operators. I. Strong superpositions and linearizability
Journal of Mathematical Analysis and Applications, 1972 AbstractA notion of superposition for nonlinear operators is defined and strong and weak superpositions are distinguished. The classification and representation of operators having a strong superposition is treated. The algebra induced by the superposition on the domain of operators with strong superpositions, as well as their relation to linearizable ...
openaire +2 more sources
The measurement problem in quantum mechanics
Science & Philosophy, 2019 In this paper, we discuss the importance of measurement in quantum mechanics and the so-called measurement problem. Any quantum system can be described as a linear combination of eigenstates of an operator representing a physical quantity; this means ...
Alessio Giuseppe Ferraioli, Canio Noce
doaj +1 more source
Experimental implementation of arbitrary entangled operations
New Journal of Physics, 2020 Quantum entanglement lies at the heart of quantum mechanics in both fundamental and practical aspects. The entanglement of quantum states has been studied widely both theoretically and experimentally, however, the entanglement of operators has not been ...
Seongjin Hong +6 more
doaj +1 more source
On Measurability Properties Connected with the Superposition Operator
Real Analysis Exchange, 2003 Let \(F\) be a class of real-valued functions defined on some set \(E\), measurable with respect to a \(\sigma\)-algebra \(S\). A function \(\phi: E\times\mathbb{R}\to \mathbb{R}\) is called to be sup-measurable with respect to \(F\) if for each \(f\in F\) the function \(\phi_f\) defined by \(\phi_f(x)= \phi(x,f(x))\) is \(S\)-measurable.
openaire +3 more sources
On generalized superposition operator acting of analytic function spaces
, 2015 In this paper we introduce a new integration operator Sg,ϕ(n), whereSg,ϕ(n)=∫0zϕ(n)(f(ξ))g(ξ)dξ.We characterize all entire functions that transform a Bloch-type space into another by this new integration operator.
Kamal Mohamed, Alaa, Alaa Kamal Mohamed
core +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
FEBS Letters, EarlyView.A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
FEBS Letters, EarlyView.Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
Superposition operators on Dirichlet spaces [PDF]
Tohoku Mathematical Journal, 2004 Let \((\mathcal E, \mathcal D)\) be a strongly local, regular symmetric Dirichlet form. A function \(K\) is said to operate on \(\mathcal D\), if \(K\circ u \in \mathcal D\) for all \(u\in\mathcal D\). By the very definition of Dirichlet forms all normal contractions operate on \(\mathcal D\) and satisfy \(\mathcal E(K\circ u,K\circ u) \leq M^2\cdot ...
openaire +3 more sources
Interpreting the effects of DNA polymerase variants at the structural level
Molecular Oncology, EarlyView.Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi +7 more
wiley +1 more source
Superposition with subunitary powers in Sobolev spaces [PDF]
, 2015 International audienceLet $0$
Petru Mironescu, Mironescu, Petru
core +2 more sources