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The finite element method is used to solve these loosely coupled sets of equations.
Generating music data as recordings encodes two coupled sets of information: (a) composer style and (b) performer interpretation of that particular composition.
In this paper, the kinematic and dynamic equations that govern the intermittent motion of the spatial non-holonomic multibody systems are developed in terms of coupled sets of reference and elastic co-ordinates.
The contact Hamiltonian functions generating the dynamical behaviour are discussed with respect to two alternative formalisms used for describing coupled sets of reversible and irreversible processes, namely the GENERIC formulation and the Matrix formulation.
The approach is based on the Statistical Energy Analysis of two spring-coupled oscillators and sets of oscillators, or coupled continuous subsystems, described by Mace and Ji [The statistical energy analysis of coupled sets of oscillators, Proceedings of the Royal Society A 1824 (2007)].
We recommend annotating such coupled sets of instructions using comments following the instructions.
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Now we turn to the numerical solution of the coupled set of equations (6) and (8).
The SAViNE framework is implemented as loosely coupled set of components.
Its stationary points are solutions of a coupled set of nonlinear equations.
The model uses a dynamic coupled set of logistic differential equations.
Possible extensions to the coupled set of one-pair and two-pair equations are discussed.
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