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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.
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).
In a hybrid approach, Ullah and Steinhöfel [ 12] applied a constraint programming based large neighbourhood search technique on top of the of COLA solver.
For all the solutions we applied a constraint on the total coefficient power per spherical harmonic degree, known as a Kaula power law constraint.
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Here, we applied a constraint-based metabolic modeling approach in which a variable demand for alkane biosynthesis was imposed, and co-varying reactions were considered as potential targets for further engineering of an E. coli strain already expressing cyanobacterial enzymes towards higher chain alkane production.
We apply a constraint that assumes the flow velocity remains constant (steady) over a short period of time.
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.
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.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com