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Using these tools, we solve for a set of optimal operating strategies over the complete space of different fill rates.
Details of a numerical method for reconstructing the grain boundary energy distribution over the complete space of macroscopic boundary parameters are presented.
As these coefficients are nonlinear functions of flux variables, computing these min and max over the complete space of plausible flux distribution requires solving nonlinear optimization problems.
Importantly, we relied on the capability of the solvers to handle multi-criteria optimization to guarantee the global optimum by reasoning over the complete space of solutions.
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The main result of the paper is formulated by three theorems where the mappings, defined over the complete metric space, are assumed to satisfy some integral type of contraction.
The variation in a solution or a measure thereof, like compactness, over the complete parameter space can only be visually inspected by looking at one or at most two parameters at a time while keeping the others fixed (cf. Figs. 2, 4, and 5).
By forming the complete matrix over space, moments, and energy, a robust set of solution strategies may be applied.
These sequence spaces are the complete paranormed linear spaces.
Note: the complete lack of space.
The complete data set was transformed into Talairach space [61].
The terms ϕ0 and ϕ represent the noisy and the target image, respectively, and Ψ is some fixed basis for ℝ N, or over-complete dictionary for space of patches of size M × M We denote.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com