The phrase "apply a constraint" is correct and usable in written English.
It can be used in contexts where you are discussing the implementation of limitations or restrictions in a process, system, or set of rules.
Example: "In order to improve the efficiency of the algorithm, we need to apply a constraint on the maximum number of iterations."
Alternatives: "impose a limitation" or "set a restriction".
Stability robustness is demonstrated by applying a constraint to the singular values of the matrix return difference.
Applying a constraint matrix depending on the ground C I and Lagrange's undetermined multipliers λ I, τ I is represented by boldsymbol{tau}_{I} = boldsymbol{C}_{I}^{T} boldsymbol{lambda}_{I}, (14).
Secondly, the intersection point of j(ρ m ) and j(ρ m +d ρ m ) is obtained by taking the limit d ρ m →0 while applying a constraint on dz with (ρ m +d ρ m )2+ z m +d z m )2=R2.
As a priori information, we applied a constraint on the smoothness of the slip distribution, which is indicated by the following term, sumlimits_{n} {sumlimits_{m} {left( {(2s_{n,m} - s_{n - 1,m} - s_{n + 1,m} ) + (2s_{n,m} - s_{n,m - 1} - s_{n,m + 1} )} right)^{2} } } (4 where s n,m is the amount of slip on the n-th and m-th subfaults along the strike and dip direction.
The tumor growth model we simulate is for a single clonal expansion, applying a constraint on the total number of cells.
However, if these analyses are to be accurate it is necessary for the community phylogeny to provide the best estimate of evolutionary history of the included plant taxa, which according to our results is most efficiently provided by applying a constraint tree.
Here we expand upon the earlier protocol for generating molecular community phylogenies from DNA barcode sequence data by applying a constraint tree in constructing the phylogeny that is based on the ordinal topology as outlined in the latest Angiosperm Phylogeny Group summary [19].
For all the solutions we applied a constraint on the total coefficient power per spherical harmonic degree, known as a Kaula power law constraint.
For residue pairs with a weak MOHCA-seq signal, we applied a constraint potential of the same shape but weaker amplitude (1/5 of the original potential).
