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On Generalized Discrete Metric Structures
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the structure of discrete systems
1996The intention of this article is to present a general, uniform and concise mathematical framework for modelling of systems, especially discrete systems. As basic structures families and relations, defined as families of families represented in parameterized form, are used, which allows the representation of dual and polymorphic relations.
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A note on discretized michell structures
Computer Methods in Applied Mechanics and Engineering, 1974Abstract While achieving the greatest possible economy of material, Michell structures with their infinity of bars are not practical. This note indicates a way of designing trusses with finite numbers of bars that achieve nearly the same economy of material as the corresponding Michell structures.
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Structure of the exponential of a discrete space
Mathematical Notes of the Academy of Sciences of the USSR, 1984Let X be a topological space and \({\mathcal A}\), \({\mathcal B}\) families of subsets of X. For \(A\in {\mathcal A}\), \(B\in {\mathcal B}\) put \([A,B]=\{(F)\in \exp X:A\subset F\subset X-B\},\) where exp X denotes the system of all closed sets of X.
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Discrete Variable Structure Integral Controllers
IFAC Proceedings Volumes, 1996Abstract The paper deals with the analysis and the design of a class of robust discrete-time Variable Structure controllers of integral type. We refer to the Discontinuous Integral Control (DIC) as the basic technique for reducing the chattering of the system. A modified discretized version of the DIC algorithm is introduced and discussed.
BONIVENTO, Claudio +2 more
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Classifying Discrete Structures by Their Stabilizers
2020Combinatorial power series are formal power series of the form \(\sum c_{n,H}X^n/H \) where, for each n, H runs through subgroups of the symmetric group \(S_n\) and the coefficients \(c_{n,H}\) are complex numbers (or ordinary power series involving some “weight variables”).
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Discrete optimum structural design
Computers & Structures, 1988Abstract This paper is concerned with some of the difficulties involved in the optimum design of engineering structures using only components which are available in discrete sizes. As an example the optimum design of trusses using rolled steel sections is used to critically examine several different methods and point out the snags in using them in a ...
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Structures with Multirelations, their Discrete Dualities and Applications
Fundamenta Informaticae, 2010In this paper we show that the problem of discrete duality can be extended beyond the clasical setting of duality between a class of algebras and a class of relational structures. Namely, for some classes of algebras, the relevant dual structures are the structures with multirelations.
Ivo Düntsch +2 more
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Phase transitions in discrete structures
2015Over the past 20 years physicists have developed an ingenious but non-rigorous approach to random discrete structures, the so-called cavity method. This technique has led to many intriguing predictions as to, e.g., the precise location and nature of phase transitions and the performance of algorithms.
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Discrete Haar Transform and Protein Structure
Journal of Biomolecular Structure and Dynamics, 1997The discrete Haar transform of the sequence of the backbone dihedral angles (phi and psi) was performed over a set of X-ray protein structures of high resolution from the Brookhaven Protein Data Bank. Afterwards, the new dihedral angles were calculated by the inverse transform, using a growing number of Haar functions, from the lower to the higher ...
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