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where,, and are the Lagrange multipliers for the different constraints of the optimization problem.
The main reason lies on different constraints of the solution presented in [11] in contrast to our proposed method.
The current transients and the linear sweep voltammograms were analyzed in consideration of the interactions between lithium ions in the electrode by using the Monte Carlo simulation under two different constraints of the diffusion-controlled lithium transport and the cell-impedance-controlled lithium transport.
Among animals, only whales grow to a body mass larger than sauropods, but a direct comparison between these two groups is not very meaningful because of the fundamentally different constraints of the aquatic versus the terrestrial environment.
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With respect to the second point, i.e. to clarify why we decided not to use a degree-preserving model, we have included two new paragraphs to the end of the subsection "Effect of different constraints on the generation of random networks" in Materials and methods to better justify the null model used and to clarify the connections between BQS and previous works on degree-preserving models.
Comparing models with different constraints on the value of ω among branches of the tree allows testing evolutionary hypotheses.
However, it may also be the case that the very different modes of development employed by Drosophila, nematodes, and vertebrates introduce different constraints on the actions of selection.
Backhaul topologies yield different constraints on the rates of messages that can be exchanged among BSs.
The effects of different constraints on the objective functions are analyzed through various graphical representations.
Three dimensional convex hull is utilized to quantify the impact of different constraints on the variable scope range.
For example, Frank (1985) and Stubblefield and Seger (1990) analyzed the influence on sex ratio optima of different constraints on the information available to parents; Lloyd (2005) described the evidentiary support for explanations of the evolution of the female orgasm.
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