Results 21 to 30 of about 7,377 (261)

On Generalized Step-Functions and Superposition Operators [PDF]

gmj, 2004
Abstract For a given σ-ideal of sets, the notion of a generalized stepfunction is introduced and investigated in connection with the problem of sup-measurability of certain functions of two variables, regarded as superposition operators.
openaire   +2 more sources

Formation of required distributions on the basis of decomposition by vortex eigen functions of a bounded non-paraxial propagation operator [PDF]

Компьютерная оптика, 2019
The solution of the problem of overcoming the diffraction limit based on the representation of an optical signal in the form of a superposition of communication modes matched with the vortex eigenfunctions of a bounded (in the object and spectral regions)
Svetlana Khonina, Sergey Volotovsky, Mikhail Kirilenko   +2 more
doaj   +1 more source

Quantum conformal symmetries for spacetimes in superposition [PDF]

Quantum
Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations.
Viktoria Kabel, Anne-Catherine de la Hamette, Esteban Castro-Ruiz, Časlav Brukner   +3 more
doaj   +1 more source

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

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

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, Chang Hoon Park, Yeon-Ho Choi, Yong-Su Kim, Young-Wook Cho, Kyunghwan Oh, Hyang-Tag Lim   +6 more
doaj   +1 more source

Continuity of the superposition operator on Orlicz-Sobolev spaces [PDF]

Bulletin of the Australian Mathematical Society, 1994
We give sufficient conditions for a homogeneous superposition operator to be a continuous mapping between Orlicz-Sobolev spaces. This extends a result of Marcus and Mizel concerning mappings between Sobolev spaces.
Hardy, G, Thompson, HB
openaire   +4 more sources

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, Junho Jeong, Chae Yeong Lee, Hyunjoon Cho, Man Hwan Oh, Je Chul Lee, Jee‐Young Lee, Yangmee Kim   +7 more
wiley   +1 more source

Heterotropic regulation and negative homotropic cooperativity

FEBS Open Bio, EarlyView.
We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea, Francesco Angelucci, Federica Arnesano, Gianmarco Pascarella, Patrizio Di Micco, Andrea Bellelli   +5 more
wiley   +1 more source

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