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Our synchronization condition is stated elegantly as the existence of solution for a system of linear equations, of which one best existing synchronization condition is a special sufficient condition case.
In contrast to the known characterizations of the trace inequality, this "pointwise" condition is stated explicitly in terms of potentials of w and σ, rather than measures of some subsets of Rn.
They can be counted as purposive in this relative sense as long as the thing to whose existence they contribute is a living thing, and hence has inner purposiveness (this condition is stated most clearly at §82, 425).
The estimates hold for a wide class of simple curves, and the condition is stated in terms of averages of the square of the affine arclength weight, extending previously known results.
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Even in the case of Hölder continuity, a precise removable sets condition was stated [13].
How can a product capable of causing such conditions be stated to be "perfectly safe"?
The controller design methodology is presented and stability conditions are stated.
Sufficient conditions are stated for differentiability of the equilibrium flows of this model.
Necessary and sufficient stability conditions are stated and upper bounding sequences on the estimation error are derived.
The boundedness of the estimation error (input-to-state stability property) and the observer stability conditions are stated as infinite-dimensional linear programming problems.
The problem solvability conditions are stated in terms of feasibility of the LMIs set to design a stable residual generator while Lyapunov inequality is satisfied.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com