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The method constitutes a model reduction approach: By only considering oscillators with parameter values given by roots of families of orthogonal polynomials (Legendre, Hermite, …), we can use the Gaussian quadrature to accurately evaluate the term coupling the oscillators, which can be thought of as the discretisation of an integral over the heterogeneous dimension(s).
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In this paper, the problem on synchronization is studied for a class of master slave delayed neural networks (DNNs) with heterogeneous dimensions.
My current field of consciousness, as I am typing this essay, comprises heterogeneous dimensions, including thinking, perception, movement, and visual, tactile, and proprioceptive stimuli.
It aims to solve scenarios when the source and target domain are represented by heterogeneous features and dimensions.
We can even include new layers of complexity by assuming more than two companies, or by assuming that users are heterogeneous in several dimensions.
Although the analysis of any policy for a population which is heterogeneous in several dimensions is a difficult task, in this paper we present a characterisation of the optimal (tax-treatment) fresh start policy and the allocation that it generates.
This paper is concerned with the situation in which a profit-maximizing monopolist faces consumers that are heterogeneous in two dimensions: their taste for quality and their level of cognitive limitations.
Promising features of the proposed method include strong regularity in the problem formulation and inherent capabilities of geometric and material modeling, yielding a common framework for optimization of the heterogeneous objects that incorporates dimension, shape, topology, and material properties.
The key coefficients on technical change are robust to differentiation across observable characteristics that are potential dimensions of heterogeneous early retirement behavior.
The Figure 7b, d shows heterogeneous vertical and lateral dimensions since stacking defaults of gold nanotriangles takes place due to longer incubation of the reaction mixture.
To demonstrate accuracy and efficiency, the combined DDM vorticity method is applied to highly heterogeneous systems in two dimensions with and without gravity.
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