Results 1 to 10 of about 124,365 (283)
OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Radio Physics and Radio Astronomy, 2018 Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
doaj +1 more source
Superposition operators on Dirichlet type spaces [PDF]
, 2001 We characterize the entire functions ℓfor which the induced nonlinear superposition operator f →ℓof one Besov space Bp into another Bq, where B∞ can be taken to be any of the following natural spaces: VMOA, BMOA, B0, and B. We do the same for the superpositions from one unweighted Dirichlet-type space Dp into another, and from Bp into the weighted ...
Buckley, Stephen M. +2 more
openaire
Fractal and FractionalTraditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj +1 more source
Multivalued superposition operators in ideal spaces of vector functions III
Indagationes Mathematicae, 1991 The paper is concerned with continuity properties of nonlinear superposition operators generated by multivalued functions \(f: \Omega\times\mathbb{R}^ m\to{\mathcal P}(\mathbb{R}^ n)\) between ideal spaces (Banach lattices) of vector functions. In particular, sufficient conditions on the spaces \(X\) and \(Y\) are given under which any superposition ...
Appell, Jürgen +2 more
openaire +2 more sources
Chaotic roots of the modular multiplication dynamical system in Shor's algorithm
Physical Review ResearchShor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable system,
Abu Musa Patoary +3 more
doaj +1 more source
Holography-based quantum projector in a state space of linear photon momentum
New Journal of Physics, 2015 A transmission volume hologram is evaluated as a quantum projector operating on linear momentum states of individual photons in a four-dimensional state space.
Mark T Gruneisen +3 more
doaj +1 more source
Lattice of $E$-closed Classes of Multifunctions of Rank 2
Известия Иркутского государственного университета: Серия "Математика"Multifunctions are discrete functions defined on a finite set and returning as their values all subsets of the considered set. The paper considers the classification of multifunctions defined on a two-element set with respect to the E-closure operator ...
B. P. Ilyin, V.I. Panteleev
doaj +1 more source
Big Step: A fast quantum algorithm for nonce discovery in Proof-of-Work blockchains
ICT ExpressSince the emergence of quantum computing, Grover’s algorithm has been widely studied as a method to attack Proof-of-Work (PoW) blockchains. However, it requires multiple oracle and diffuser iterations, causing high computational overhead and ancilla ...
Younghoon Park
doaj +1 more source
Superposition operator in Sobolev spaces on domains [PDF]
Proceedings of the American Mathematical Society, 2000 For an arbitrary open set Ω ⊂ R n \Omega \subset \mathbb {R}^n we characterize all functions G G on the real line such that G ∘ u ∈ W 1 , p (
openaire +2 more sources
A linear test for global nonlinear controllability
Comptes Rendus. MathématiqueIt is known that if a nonlinear control affine system without drift is bracket generating, then its associated sub-Laplacian is invertible under some conditions on the domain. In this note, we investigate the converse.
Elamvazhuthi, Karthik
doaj +1 more source