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For most systems the input-output pairs (X,Y) will not have deterministic relationship Y=f X).
The additive model assumes that we can capture all these departures from a deterministic relationship via the error e.
It is argued that the role is more about regulatory mediation than a deterministic relationship.
The auxiliary variables facilitate building a deterministic relationship between the uncertainty sources and the output, which is needed in the Sobol indices computation.
This paper deals with the deterministic relationship between spectral and pseudo-spectral acceleration, SA ξ,ω0) and PSA ξ,ω0) respectively, and gives the reason for their proximity on theoretical basis.
Equation (28) describes a deterministic relationship between the time delay and location perturbations.
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Finally, we include "quiet" constraints, i.e. deterministic relationships between the state and control variables.
Traditional Probabilistic Risk Assessments (PRAs) model dependencies through deterministic relationships in fault trees and event trees and parametric models of common cause failure (CCF) events.
Some properties of the proposed probabilistic approach for checking the coherence of the initial time deduced by classic deterministic relationships are as follows: 1.
However, these deterministic relationships are involved.
A check of the linearity assumption implicit in these deterministic relationships is included in Section S2 of the SI.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com