Sentence examples for applying the constraint from inspiring English sources

Applying the constraint variational method, the quantitative deformation lemma, and topological degree theory, we see that the equation has one least energy sign-changing solution u.

The parameters and are obtained from the mean matrix by applying the constraint that, and RK is obtained in terms of var by rearranging (10).

By setting the above equation to 0 and applying the constraint P i ≥ 0, the optimal power allocation P i for given Lagrange multipliers λ and μ is computed as P i = A i + △ i 2 +, (20).

Applying the constraint force on the ground τ I to the motion equation of the wheel spider without the ground (8), the motion equation of the wheel spider rolling on the slope is given by boldsymbol{M}_{s} ddot{boldsymbol{x}}_{s} = boldsymbol{h}_{s} + boldsymbol{C}_{s}^{T} boldsymbol{lambda}_{s} + boldsymbol{tau}_{I}. (13).

Converting to vector notation, we get for the quadrupole l = 2 term (27) Taking the curl, using considerable vector algebra, applying the constraint div A = 0 (equivalent to div J = 0), and comparing the terms with those given by the scalar potential approach, we can again obtain the expressions (22) to (26) above.

However, when applying the constraint using ��F G with GBLUP, ΔF ped was ~70-80 ~70-80e desired ΔF d.

Applying the constraints: α+β>1 α>0 β>0thethe function: f=k x α y β.

This ROI highlighted conservation potential after applying the constraints of wind energy development.

Solving (18) and applying the constraints (16), the M-step re-estimation formulae, (19), are obtained: (19).

Then, we derive the vector k 1 by applying the constraints of ρ 1 and D 1 described in Properties 1 and 3.

By applying the constraints on the specific geometry positions on the metal sheet, the various behaviors of flexural waves have been at the different directions.