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Following on from this, we derive existence conditions for the indexing and extension groups of each matrix viewed as a cocyclic pairwise combinatorial design.
We derive existence conditions of linear sliding surfaces in terms of constrained linear matrix inequalities (LMIs), and we give VSOFC strategies.
To derive existence conditions of designing switched filter that guarantees the asymptotically stable and H∞ performance of the inferred filtering error system, some novel properties of membership functions are exploited and utilized.
We derive existence of a solution for this class of generalized vector complementarity problems under an inclusive type condition.
To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
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As special cases, they derived existence results for solutions to the implicit vector variational inequalities.
In [6], Aubert and Aujol proved the existence of a minimizer for a variational model and studied the associated evolution problem, for which they derived existence and uniqueness results for the solution.
An example of the latter is the cosmological argument, which appeals to the notion of causation to conclude either that there is a first cause or that there is a necessary being from whom all contingent beings derive their existence.
In the following, applying the inequality (2.6) and a scaling argument, we derive the existence of blow-up solutions to (1.1) and a sharp threshold of global existence and blow-up.
In his Proslogion, St. Anselm claims to derive the existence of God from the concept of a being than which no greater can be conceived.
The latter class of existents derives their existence from a cause.
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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