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If the solutions of the relevant formulae or equations of the theory Tf are such that for small values of ε they smoothly approach the solutions of the corresponding formulas in Tc, then Schema R will hold.
The new notion of maximal equilibrium independent passivity is introduced and it is shown that networks of systems possessing this property asymptotically approach the solutions of a dual pair of network optimization problems, namely an optimal potential and an optimal flow problem.
Since the sampling strategy has destroyed the linear transformation relations between two domains (k-space and image), some nonlinear reconstruction methods should be applied to iteratively approach the solutions, such as conjugate gradient method [ 151].
Differently from the more usual approach, the solutions are sought in the form of a simple layer potential for the Dirichlet problem and a double layer potential for the traction problem.
By means of several transformations one establishes matrix formulae based on equations of radiative exchanges containing variables defined in a discrete analog form, and further on, by means of a multidisciplinary approach, the solutions are organized in algorithms that use the theory of networks, graphs and electric circuits.
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Motivated by iterations (1.3), (1.11) and (1.14), we will construct a new iteration to approach the solution of (1.15).
Once you understand the issue, approach the solution by assessing your child's greatest character strengths.
The framework is that a cool start-up solves a real problem, approaches the solution in a unique way, has reach, is ambitious, executes tirelessly, focuses on the customer and has a catchy brand.
The optimization problem is thus iteratively approaching the solution for the ideal l0-norm objective function.
We notice that the solution of Equations 7 and 8 approaches the solution for the constant surface temperature as γ → ∞.
Dashed points are a sequence of solutions approaching the solution of the resonant problem at ν 1 from the right (see proof of Theorem 1.4).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com