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Due to the displacements, strains and stresses directly computed at nodes, the computing time of the present approach is equivalent with the DNI.
Then, we prove that the trace optimization of the proposed measure is equivalent with the objective functions of algorithms such as nonnegative matrix factorization, kernel K-means as well as spectral clustering.
With the use of this fitness proxy we find that in dispersal evolution the studied clonal model is equivalent with the haploid sexual model, and that there are indeed many differences between clonal and diploid ESS dispersal rates.
This norm is equivalent with the operator norm.
Thus, it is equivalent with the fixed-point principle.
Hence, the primal problem in (5) is equivalent with the following optimization problem.
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Using sequence homology comparisons with IL-1β, putative IL-18 surface loops are identified and used as a starting point for design, including a loop region 1 thought to be equivalent with the Boraschi loop of IL-1β.
Now, the single level problem we formulated in (8) may not be equivalent with the original tri-level programming problem.
This shows that both main results from [1] are equivalent with the corresponding ones in the framework of (S-MS).
CT and magnetic resonance imaging (MRI) findings of complex renal cysts are equivalent with the two techniques resulting in similar ratings based on the Bosniak system [5].
In fact, we can show that (31), (32) and (33) are respectively equivalent to (5), (26) and (27), and then it follows that (31), (32) and (33) are equivalent with the same best constant factor B ( λ r, λ s ).
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CEO of Professional Science Editing for Scientists @ prosciediting.com