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Estimates for the Deviations of Integral Operators in Semilinear Metric Spaces and Their Applications
We develop the theory of approximations in functional semilinear metric spaces that allows us to consider the classes of multi- and fuzzy-valued...
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Control of Set of System Parameter Values by the Ant Colony Method
AbstractThe paper considers the modification and application of the ant colony method for the problem of directed enumeration of the values of system...
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Meters and Rhythm
This chapter reviews first the socio-biological genealogy of rhythm and then Mazzola’s mathematical theory of meter and rhythm, together with...
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An Algorithm for Maximizing the Biogas Production in a Chemostat
In this work, we deal with the optimal control problem of maximizing biogas production in a chemostat. The dilution rate is the controlled variable,...
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Singularly Perturbed Problems with Multi-Tempo Fast Variables
AbstractThe article contains a survey of publications studying problems characterized by the presence of fast variables with various rates of change...
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Recurrent Algorithms of Structural Classification Analysis for Complex Organized Information
For the structural classification analysis of complex organized information, we propose to use recurrent algorithms of stochastic approximation type....
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Dynamic metabolic resource allocation based on the maximum entropy principle
Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic...
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Paradigmatic Classification
Paradigmatic classification deals with formation of classes of objects which belong to specific paradigms. Here, paradigms are fields of equivalence...
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Sensitivity Statistical Estimates for Local A Posteriori Inference Matrix-Vector Equations in Algebraic Bayesian Networks over Quantum Propositions
An approach to the sensitivity analysis of local a posteriori inference equations in algebraic Bayesian networks is proposed in this paper. Some...
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Metrics and Rhythmics
Metrics and rhythmics are an excellent elementary test-case for global structures in music. We shall critically review two commonly known approaches:...
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A Brief Review of Non-convex Single-Objective Optimization
Single-objective optimization methods are among the mathematical methods most widely used in various applications. The classical methods starting...
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Hierarchies and Performance Scores
As a synthesis of the structural parts described in Chapter 32 through Chapter 34 we establish the overall structure of performance. The objects of...
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Global Compositions
The categories ObLoc and Loc are representations of local objects, i.e., of objects that are not composed of proper “parts”. However, music mainly...
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Modulation
This chapter deals with the central issue of modulation between two given tonalities. It involves explicit models of tonalities, of cadences and—even...
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K
K, Abkürzung für „Kilo“, also Tausend.
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Orbits
This chapter deals with groups of symmetries, their action and orbits as musicological and mathematical concepts. Elementary local...
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Extremal Fuzzy Dynamic Systems Theory and Applications
In this book the author presents a new approach to the study of weakly structurable dynamic systems. It differs from other approaches by considering...
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G
G, Abkürzung für „Giga“, also 109.
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On the Genetic Algorithms Approach and Software Library
Generic algorithms (GAs) operate on a collection of candidate solutions. Each solution is encoded as a finite string of bits. This string is called a...
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Application of the Discrete Possibilistic Model of the EFDS to the Evaluation of Expert Knowledge Streams
In this chapter we perform an analysis of Dempster–Shafer temporalized structures and finite possibilistic extremal fuzzy dynamic systems (EFDS) for...