Sentence examples for constraint assumption from inspiring English sources

From (4.2) and substituting the real sequence from the constraint Assumption 1, we have the following: (4.9).

This research finds that in the absence of a budget constraint the optimal R&D portfolio is affected by assumptions about grid integration costs, but given a budget constraint, assumptions about grid integration costs have little impact on the composition of the optimal R&D portfolio.

With the nonholonomic constraints assumption, a closed-form mathematical model with Lagrangian multiplier is obtained by applying the Lagrangian approach.

It is found that (1) the TBH model with the full constraints assumption is superior to that with the relaxed constraints assumption in predicting the plastic deformation characteristics of steel sheets; (2) The Hosford yield criterion is an effective phenomenological model for predicting the plastic deformation characteristics of steel sheets.

We only consider retirement at ages equal to or above the ERA (as a result of our extreme borrowing constraints assumption).

The measured data are compared with the theoretical predictions based on the Taylor Bishop Hill model with the full constraints and relaxed constraints assumptions using the experimentally determined crystallographic textures.

The present work introduces a formulation of cytological constraints (assumptions 2 and 3) and a scheme of natural selection optimizing the mRNA abundance (assumption 4), based on the relationship between the evolutionary change in the mRNA abundance and the distribution of mRNA abundance in a cell.

In our framework, a model is the union of physical phenomenon constraints, boundary condition constraints, and modeling assumption constraints.

end{aligned} By our generalized Guignard constraint qualification assumption, (z in operatorname{cl}[operatorname{co}(T(Q^{1} bar{x}))]), and hence there exists a sequence ({z^{m}}_{m=1}^{infty} subsetoperatorname{co}(T(Q^{1} bar{x}))) such that lim_{mtoinfty} z^{m} = z.

And the necessary optimality conditions for problem (1) are given under the strict complementarity and linear independence constraint qualification assumptions.

In this subsection, we discuss the optimization conditions for problem (20) under strict complementarity and linear independence constraint qualification assumptions.