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To mathematically model the vibrations of FG-GPLRC plates, the displacement field, strain tensor and constitutive relations as well as the energy functional of system including strain and kinetic energies and external work are represented in matrix forms as a function of the displacement components.
In this first exposition of MLMC methods in reliability problems we address the canonical problem of estimating the expectation of a functional of system lifetime for non-repairable and repairable components, demonstrating the computational advantages compared to classical Monte Carlo methods.
In this section, we define some notations and give the variational functional of system (1.1).
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Hence, today's software development processes must include systematic approaches to analyze the functional correctness of system specifications and implementations.
It is not axiomatic that identified functional features of System I proteins will also be important in System I*.
The eigen-equation is obtained by applying the Ritz procedure to the energy functional of the system.
Systemic theories of function emphasize the role of function ascriptions in functional analyses of systems.
The clinical presentation is heterogeneous and includes recurrent headache attacks, associated symptoms of vegetative disturbance, and hypersensitivity of various functional systems of the nervous system [1, 2].
Functional analyses of systems conceptually decompose complex activities of whole systems into the activities of their contributing parts.
In Table 1 below fragility and antifragility are juxtaposed on a number of structural and functional dimensions of systems such as business, infrastructure and research projects.
The production of a functional aggregate system capable of catalysis and replication has long been thought of as important for the origins of life, but for more lifelike dynamics such systems must exist in dissipative states.
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