Results 31 to 40 of about 15,485 (101)
On Multilevel Energy‐Based Fragmentation Methods
We investigate the working equations of energy‐based fragmentation methods and present ML‐SUPANOVA, a Möbius‐inversion‐based multilevel fragmentation scheme that enables adaptive, quasi‐optimal truncations to efficiently approximate Born‐Oppenheimer potentials across hierarchies of electronic‐structure methods and basis sets.
James Barker +2 more
wiley +1 more source
Schwartz functions on Nash manifolds
In this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds.
Aizenbud +14 more
core +1 more source
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley +1 more source
Łukasiewicz-Moisil Many-Valued Logic Algebra of Highly-Complex Systems [PDF]
A novel approach to self-organizing, highly-complex systems (HCS), such as living organisms and artificial intelligent systems (AIs), is presented which is relevant to Cognition, Medical Bioinformatics and Computational Neuroscience.
Baianu, Professor I.C. +2 more
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The paper proposes a piecewise analytical method for calculating the winding current and the neutral reactor current under oscillatory conditions in renewable energy power systems. The method is based on the operational state of the core magnetic circuit, where the nonlinear magnetisation curve is approximated by piecewise linear segments with the ...
Botong Li +8 more
wiley +1 more source
Formation control of multi‐autonomous underwater vehicle (AUV) systems is essential for collaborative ocean tasks such as environmental monitoring and resource exploration, but it is hindered by challenges like limited flexibility in formation transformation, model uncertainties, and unknown ocean current disturbances.
Fan Luan +3 more
wiley +1 more source
Catching homologies by geometric entropy
A geometric entropy is defined as the Riemannian volume of the parameter space of a statistical manifold associated with a given network. As such it can be a good candidate for measuring networks complexity.
Felice, D. +3 more
core +3 more sources
Where Mathematical Symbols Come From
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley +1 more source
Hypergroups and Hypergroup Algebras [PDF]
The survey contains a brief description of the ideas, constructions, results, and prospects of the theory of hypergroups and generalized translation operators.
Litvinov, Grigory L.
core

