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So, the determination of volume fraction distribution becomes a crucial part in the FGM design, for a given specification and loading condition.
For high thermodynamic efficiency and reduced computational load, a structural design utilizing the minimum tray structure is implemented, and the design procedure to find operational variables for a given specification of products is explained in detail.
In this paper, we introduce a relational operator that captures, for a given specification R and candidate program P, the functionality delivered by P that is relevant to R. This operator, which we call the projection of P over R (for reasons we explain), has a number of interesting properties, which we explore in this paper.
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It gives an expression for the hazard at time t for an individual with a given specification of a set of independent variables denoted by 'x', which are predictor variables that are being modelled to predict an individual's hazard.
The formula for the extended Cox model for time-dependent variables was applied as following: h (t, X i, X j (t ) ) = h o (t ) exp [ ∑ i = 1 p 1 β iXi + ∑ j = 1 p 2 δ jXj (t ) ] where h t, Xi, Xj t)) is Hazard function expresses the hazard at time t for an individual with a given specification of set of time-independent predictor variables and time-dependent predictor variables.
Cauer placed the field on a firm mathematical footing, providing tools that could produce exact solutions to a given specification for the design of an electronic filter.
Here we determine a complete set of relations which allows to easily find if, for given specifications, a solution is possible and, if not, to identify which specifications must be relaxed.
For a given separation specification, a gas chromatographic column is 3 30 times shorter than the equivalent distillation column.
For a given quality specification, how energy consumption can be reduced by adjusting one or more of these parameters is shown.
Two generic functions μ(t) and ν(t) are proposed to describe the material microstructure degradation for a given design specification concerned with fatigue crack growth.
For a given phytoplankton specification and resource availability, the amplitude of the plankton oscillations is primarily modulated from zooplankton mortality and secondarily from the nutritional quality of the alternative food source (i.e., detritus).
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