Sentence examples for considerations solutions from inspiring English sources

Exact(1)

Based on these considerations solutions are picked.

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Taking into consideration solution (26), we can observe, from Figure 2, an oscillatory profile of the obtained solution.

Since the determination of the angular accelerations of the crank and the beam from the crank angle versus time function, θ(t), necessitates several considerations, the solutions applied in this paper will be illustrated through an example problem.

We highlight scenarios that require special considerations, suggest solutions to key challenges, and propose a set of recommended good practices and general guidelines for CDL-based land change estimation.

These consisted of identifying ethical considerations and solutions in relation to community engagement, equitable recruitment, informed consent, vulnerability to coercion, and responsibility to report.

Future expansion of the test-facility is taken into consideration using solutions with wide working ranges.

Any proposed principle for solving games that may have the effect of eliminating one or more NE from consideration as solutions is referred to as a refinement of NE.

It is known (see [9]) that in the case under consideration the solutions to Equation (1.4) have the asymptotics V j ( r ) ∼ d 3 r ι j, k +, W j ( r ) ∼ d 4 r ι j, k −, as r → ∞, (1.5).

It is well known (see [6]) that in the case under consideration the solutions to equation (1.1) have the asymptotics P_{j} tau sim d_{1} tau^{zeta_{j,k}^,quadquad Q_{j} tau sim d_{2} tau ^{zeta_{j,k}^,quad text{as } tau rightarrowinfty, where (d_{1}) and (d_{2}) are some positive constants.

It is well known (see [8]) that in the case under consideration the solutions to equation (1.2) have the asymptotics V_{j}(r)sim d_{1} r^{iota_{j,k}^,qquad W_{j}(r)sim d_{2} r^{iota _{j,k}^quad text{as } r rightarrowinfty, (1.3) where (d_{1}) and (d_{2}) are some positive constants.

According to the above considerations the solution is p k, m q = p k, m b for 0 < p k, m q < p q max ( k ) and λ q > 1 a n q ( k, m ) β k, m + a I q ( k, m ) γ k, m so that we can write the optimal power allocation vector as p k, m q ∗ = p k, m b 0 p q max ( k ) (82).

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