Sets K in d-dimensional Euclidean space are constructed with the property that the inverse Fourier transform of the characteristic function 1(K) is a single dyadic orthonormal wavelet. The construction is characterize...
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Sets K in d-dimensional Euclidean space are constructed with the property that the inverse Fourier transform of the characteristic function 1(K) is a single dyadic orthonormal wavelet. The construction is characterized by its generality in the procedure, by its computational implementation, and by its simplicity. The general case in which the inverse Fourier transforms of the characteristic functions 1(K1), .... ,1(KL) are a family of orthonormal wavelets is treated in [27].
Listening to swinging music you often want to move along with the rhythm. - We pose the question: How might the production of microtiming that characterizes swing be modelled? A fundamental idea in the present paper i...
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ISBN:
(纸本)9783030016920;9783030016913
Listening to swinging music you often want to move along with the rhythm. - We pose the question: How might the production of microtiming that characterizes swing be modelled? A fundamental idea in the present paper is to apply an interaction of oscillators to achieve alterations of frequencies that create timing deviations that are typical of live performances of rhythm. - Dynamic, time-dependent features are introduced and implemented in a model based on rhythmic frequency modulation, RFM, previously developed by the authors of this paper. We here exemplify the potential of this new, extended model by simulating various performances of swing in jazz, and we also indicate how the computer implementation of the RFM model might be an interesting tool of electro-acoustic music. Moreover, we discuss our model construction within the framework of event-based and emergent timing.
A general formulation of the spherical harmonics (P-N) methods was developed recently to expand the method to high orders of P-N. The set of N(N+1)/2 three-dimensional second-order elliptic PDEs formulation and their ...
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A general formulation of the spherical harmonics (P-N) methods was developed recently to expand the method to high orders of P-N. The set of N(N+1)/2 three-dimensional second-order elliptic PDEs formulation and their Marshak boundary conditions for arbitrary geometries are implemented in the OPENFOAM finite volume based CFD software. The results are verified for four cases, including a 1D slab, a 2D square enclosure, a 3D cylindrical enclosure, and an axisymmetric flame. All cases have strongly varying radiative properties, and the results are compared with exact solutions and solutions from the photon Monte Carlo method (PMC).
ObjectivesEmpirical analyses in health services research and health economics often require implementation of nonlinear models whose regressors include one or more endogenous variablesregressors that are correlated wi...
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ObjectivesEmpirical analyses in health services research and health economics often require implementation of nonlinear models whose regressors include one or more endogenous variablesregressors that are correlated with the unobserved random component of the model. In such cases, implementation of conventional regression methods that ignore endogeneity will likely produce results that are biased and not causally interpretable. Terza etal. (2008) discuss a relatively simple estimation method that avoids endogeneity bias and is applicable in a wide variety of nonlinear regression contexts. They call this method two-stage residual inclusion (2SRI). In the present paper, I offer a 2SRI how-to guide for practitioners and a step-by-step protocol that can be implemented with any of the popular statistical or econometric software packages. Study DesignWe introduce the protocol and its Stata implementation in the context of a real data example. implementation of 2SRI for a very broad class of nonlinear models is then discussed. Additional examples are given. Empirical ApplicationWe analyze cigarette smoking as a determinant of infant birthweight using data from Mullahy (1997). ConclusionIt is hoped that the discussion will serve as a practical guide to implementation of the 2SRI protocol for applied researchers.
We review the recent book authored by David L. Applegate, Robert E. Bixby, Vasek Chvatal and William J. Cook, The traveling salesman problem: a computational study, Princeton Series in Applied Mathematics. Princeton U...
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We review the recent book authored by David L. Applegate, Robert E. Bixby, Vasek Chvatal and William J. Cook, The traveling salesman problem: a computational study, Princeton Series in Applied Mathematics. Princeton University Press 2007, Hardback price $45.00 / 26.95 pound, 606pp, ISBN 978-0-691-12993-8.
The specific case of the differential Maxwell system in the spatial Cartesian coordinates is considered as the mathematical modeling of the electromagnetic wave propagation in the relevant guided structures. The propo...
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ISBN:
(纸本)9781538624685
The specific case of the differential Maxwell system in the spatial Cartesian coordinates is considered as the mathematical modeling of the electromagnetic wave propagation in the relevant guided structures. The proposed analytic operator procedure reduces the original Maxwell system to the equivalent PDE (partial differential equation) regarding all scalar components of the electromagnetic field vector intensities. The explicit solution of the specific boundary value problem based on the aforesaid wave PDE gives the joint accurate numerical and graphic computer simulation of the investigated engineering process.
This paper presents a decision support system, called FPS (Fuzzy Project Scheduling), for solving a problem of an allocation of renewable resources among nonpreemtable and dependent activities, talking into account th...
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A Greedy Randomized Adaptive Search Procedure (GRASP) is a randomized heuristic that has produced high quality solutions for a wide range of combinatorial optimization problems. The NP-complete Feedback Vertex Set (FV...
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A Greedy Randomized Adaptive Search Procedure (GRASP) is a randomized heuristic that has produced high quality solutions for a wide range of combinatorial optimization problems. The NP-complete Feedback Vertex Set (FVS) Problem is to find the minimum number of vertices that need to be removed from a directed graph so that the resulting graph has no directed cycle. The FVS problem has found applications in many fields, including VLSI design, program verification, and statistical inference. In this paper, we develop a GRASP for the FVS problem. We describe GRASP construction mechanisms and local search, as well as some efficient problem reduction techniques. We report computational experience on a set of test problems using three variants of GRASP.
Shape grammars are, in general, intractable. Even amongst tractable shape grammars, their characteristics vary significantly. This paper describes a paradigm for practical general shape grammar interpreters, which aim...
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Shape grammars are, in general, intractable. Even amongst tractable shape grammars, their characteristics vary significantly. This paper describes a paradigm for practical general shape grammar interpreters, which aim to address computational difficulties posed by parameterization. The paradigm is expressed in terms of frameworks each comprising an underlying data structure, manipulation algorithms, and a metalanguage. The approach is illustrated through three exemplar frameworks.
In this paper, we consider the problem of generating a set of fuzzy rules for the Mamdani fuzzy inference system based on the numerical data obtained in the process of a managed system learning. The approach proposed ...
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ISBN:
(纸本)9781538643075
In this paper, we consider the problem of generating a set of fuzzy rules for the Mamdani fuzzy inference system based on the numerical data obtained in the process of a managed system learning. The approach proposed in the article to solve this problem is based on the algorithms for clear and fuzzy clustering such as the mining clustering algorithm and the Gustafson - Kessel algorithm. It allows one to significantly simplify the process of forming a set of fuzzy rules and minimize the participation of a person in this process thus providing for an automatic selection of the number of rules as well as to determine all the necessary parameters for each of them. To implement the proposed approach, two computer programs were written. The first of them collects numeric data when a person manages a robot. Based on the collected data, this program builds a base of fuzzy rules for controlling mobile robot on a tracked chassis. This base of fuzzy rules and its computer implementation is further used in the second program for automated control of a mobile robot in the plane by varying the tractive force of each of the tracks depending on the position of the target to which the robot should approximate a given distance.
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