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The original optimization problem with time-dependent constraints is replaced by an equivalent problem with stationary constraints by means of Laplace transforms.
Parameter estimation is usually formulated as a non-linear programming problem (NLP) subject to the dynamic and stationary constraints which define the behaviour of the system.
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The string tension and the non-conservative centrifugal force at the constraint lead to energy transfer between the translating continuum and the stationary constraint.
In this paper the dynamic interactions between an idealized rotating circular string and a stationary constraint, consisting of a spring, a damper, a mass or a frictional restraint, are discussed.
These results provide a clear illustration that even in fully equilibrium scenarios of constraint where selectively favored states do not change in time and all rates are stationary, constraint does not necessarily result in conservation.
The Eulerian formulation of the hyperelasticity represents a system of 14 conservative partial differential equations submitted to stationary differential constraints.
The corresponding 3D mathematical model of hyperelasticity written in the Eulerian coordinates represents a system of 14 conservative partial differential equations submitted to stationary differential constraints.
The reason for the small sample size is that patients must return at least 100 ratings with fewer than 5 missing values, and the time series must be stationary: these constraints cannot easily be relaxed without compromising the analysis.
It demonstrates the separation theorem to be strongly dependent on the assumption of point-to-point communication of stationary sources without constraints on encoder/decoder complexity.
We design QPSK waveforms with spectrum sharing constraints for stationary and moving radar platform.
Within the constraints of stationary ratios and single transition shift, an optimal solution is found with a wide ratio spread.
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