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The relationship between the phase offset and the difference of vanishing moments is useful in choosing the vanishing moments so that the phase requirement on the corresponding low-pass filters can be satisfied strictly.
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If the decision maker wants to get a much more minimized value for any particular objective function or wants to satisfy strictly the constraints, then weight factors (priorities) are introduced.
In the case where (f_{1} = f_{2} = f_{3} = I_{{mathbb{R}}^), this property is satisfied by strictly convex Banach spaces.
Since the quadratic utility does not satisfy the strictly concave property, our results are different from theirs.
The main purpose is focused on designing a sampled-data synchronization controller such that the resulting synchronization error system is stable and satisfies a strictly (Q,R,S -θ-dissipative property.
This restriction cannot be strictly satisfied in every application.
It is proved by several numerical examples that the manufacturability constraints are always strictly satisfied.
It is consistent with the rigorous electromagnetic field analysis when the approximation conditions are strictly satisfied.
Herein, we successfully rendered this desirable material compatible as lithium metal interface, which strictly satisfied the critical requirements.
All of the pseudo-time advancement terms converge monotonically and the conservation laws are strictly satisfied in the steady state.
In the non-interpolating case, formula (1) is not strictly satisfied.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com