Results 31 to 40 of about 3,402 (148)

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang   +14 more
wiley   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

open access: yesAdvanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Harmonic numbers, harmonic series and zeta function

open access: yesMoroccan Journal of Pure and Applied Analysis, 2018
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
doaj   +1 more source

Hydrodynamic forces on two moving discs [PDF]

open access: yesTheoretical and Applied Mechanics, 2004
We give a detailed presentation of a flexible method for constructing explicit expressions of irrotational and incompressible fluid flows around two rigid circular moving discs.
Burton D.A., Gratus J., Tucker R.W.
doaj   +1 more source

Arithmetic functions associated with infinitary divisors of an integer

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
The infinitary divisors of a natural number n are the products of its divisors of the form pyα2α, where py is a prime-power component of n and ∑αyα2α (where yα=0 or 1) is the binary representation of y.
Graeme L. Cohen, Peter Hagis
doaj   +1 more source

On Some Properties of the Hofstadter–Mertens Function

open access: yesComplexity, 2020
Many mathematicians have been interested in the study of recursive sequences. Among them, a class of “chaotic” sequences are named “meta-Fibonacci sequences.” The main example of meta-Fibonacci sequence was introduced by Hofstadter, and it is called the ...
Pavel Trojovský
doaj   +1 more source

Symmetric colorings of G × Z_2

open access: yesElectronic Journal of Graph Theory and Applications, 2023
Let G be a finite group and let r ∈ N. An r-coloring of G is any mapping χ : G → {1, …, r}. A coloring χ is symmetric if there is g ∈ G such that χ(gx−1g)=χ(x) for every x ∈ G. We show that if f(r) is the polynomial representing the number of symmetric r-
Jabulani Phakathi   +2 more
doaj   +1 more source

Biquadratic Transformations for Checking the Hurwitz Stability via the Schur Stability

open access: yesAsian Journal of Control, EarlyView.
ABSTRACT Bilinear transformations such as the Möbius transformation have been used to study Hurwitz stability by means of Schur stability, or vice versa. However, the use of a well‐known Möbius transformation has pathological cases, hence Jalili–Kharaajoo and Araabi investigated and found a biquadratic transformation to study Schur stability by means ...
Baltazar Aguirre‐Hernández
wiley   +1 more source

The Proof of a Conjecture Relating Catalan Numbers to an Averaged Mandelbrot-Möbius Iterated Function

open access: yesFractal and Fractional, 2021
In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step ...
Pavel Trojovský, K Venkatachalam
doaj   +1 more source

The Contingent Eco‐Innovation–Firm Performance Link: A Global Systematic Literature Review and Future Research Agenda

open access: yesBusiness Strategy and the Environment, EarlyView.
ABSTRACT The relationship between eco‐innovation (EI) and firm performance (FP) is central to environmental management research, yet empirical evidence remains fragmented and highly context dependent. This article presents a global systematic literature review (SLR) of 541 empirical studies (2006–April 2025) to (i) diagnose the systematic sources of ...
Ali Mammadov
wiley   +1 more source

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