Sentence examples for functions subjected to from inspiring English sources

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Mathematically, the optimization of objective functions subjected to stoichiometric and capacity constraints can be formulated as follows: text{max}quad Z = sumlimits_{j} {c_{j} v_{j} } S., tquad sumlimits_{j} {S_{ij} v_{j} = 0;,foralll } {text{ metabolite}};i (1) v_{j}^{text{min} } le v_{j} le v_{j}^{text{max} } ;,foralll,{text{reaction}};j.

In [1, 2], Webb and Infante considered the existence of positive solutions of nonlinear boundary value problem: u ″ ( t ) + μ h ( t ) g ( t, u ( t ) ) = 0, 0 < t < 1, where h g are nonnegative functions, subjected to the nonlocal boundary conditions u ( 0 ) = 0, u ( 1 ) = α [ u ].

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Constrained optimization problems consist of an objective function subjected to both linear and nonlinear constraints.

The propeller design process is performed as a single objective function subjected to constraints imposed by cavitation, material strength and required propeller thrust.

The objective function considered was profit function (subjected to maximization) for cases without product flow rate constraints and raw-materials and energy cost (subjected to minimization) for cases with product flow rate constraints.

In this approach, the optimum design is obtained by solving a sequence of sub-programming problems that usually consist of an approximate objective function subjected to a set of approximate constraint functions.

This makes the approach more suitable for stochastic optimization and for functions subject to numerical error.

This work studies multiobjective optimization (MOP) of nonsmooth functions subject to general constraints.

Harmonic extension algorithm is the simplest tool for constructing harmonic functions subject to boundary value problems on SG n.

where, is a linear densely defined operator of sectorial type, and are functions subject to some additional conditions.

The objective function is related to the maximization of the consumers' objective functions (utility functions) subject to constraints reflecting consumer income limitations.

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