Results 71 to 80 of about 1,365,933 (128)
Moments, sums of squares, and tropicalization
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source
On Sheffer polynomial families
Attention is focused to particular families of Sheffer polynomials which are different from the classical ones because they satisfy non-standard differential equations, including some of fractional type.
Pinelas Sandra, Ricci Paolo Emilio
doaj +1 more source
A Surrogate‐Based Adaptive Sampling Approach for Electromagnetic Problems
ABSTRACT Black‐box optimization problems arise in many real‐world applications, where the objective function is unknown or computationally expensive to evaluate. In electromagnetic engineering, optimization tasks often involve complex structures and materials, making direct analytical solutions infeasible. These problems are further complicated by high‐
Emmanouil Karantoumanis +2 more
wiley +1 more source
This paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani +3 more
doaj +1 more source
Taking limits in topological recursion
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
On Generalized Class of Bell Polynomials Associated with Geometric Applications
In this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi +2 more
doaj +1 more source
A Model for Sustainable Development in Territorial Production Systems
ABSTRACT The territorial production system demand innovation and adaptability to provide the majority of decisions, especially when splitting up available resources among productive sectors by the lens of sustainable development. The system's economic units evolve in dimensional profile, technical execution, and management of productive process to ...
Francesco Sica +2 more
wiley +1 more source
Homological Lie brackets on moduli spaces and pushforward operations in twisted K‐theory
Abstract We develop a general theory of pushforward operations for principal G$G$‐bundles equipped with a certain type of orientation. In the case G=BU(1)$G={B\mathrm{U}(1)}$ and orientations in twisted K‐theory, we construct two pushforward operations, the projective Euler operation, whose existence was conjectured by Joyce, and the projective rank ...
Markus Upmeier
wiley +1 more source
Quantum Algorithms for Quantum Molecular Systems: A Survey
Quantum algorithms for quantum molecular systems: from molecular encoding, to Hamiltonian simulation, static properties, and quantum advantage. ABSTRACT Solving quantum molecular systems presents a significant challenge for classical computation. The advent of early fault‐tolerant quantum computing devices offers a promising avenue to address these ...
Yukun Zhang +6 more
wiley +1 more source
Multi-variable Gould-Hopper and Laguerre polynomials
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
doaj

