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We finally consider the dual version of the problem, precisely, we show how to achieve simultaneous optimality by filter blending.
(3) Use the dual version of the basic method so that inputs–outputs and left right eigenvectors are switched.
We also consider the dual version of the problem, precisely, we show how to achieve simultaneous optimality by blending a set of given filters.
The categorical framework allows us to systematically define a descent homomorphism and to prove a Green–Julg theorem, a dual version of it and a generalised version that involves the action of a proper G-space.
When the contact occurs between crack surfaces, the formulation adopted is the dual version of BEM, in which singular and hyper-singular integral equations are defined along the opposite sides of the contact boundaries.
(Dual version of Zorn's lemma).
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There follows a bizarre relationship, retold from both sides in interlocking dual versions of events.
Dual versions of Šmulyan's classical result are established in the framework of this conjugacy, which reveal a relation between well-posed problems and the differentiability.
One can apply CoreducThen to the celluser mestraightforward -cells are arbitrarily removedual a similar but dual manner as in the Reduce-Omit algorithm.
We list the dual versions of Theorem 3.1 as theorems below.
By Theorem 4.2, we can obtain the useful dual versions of Theorem 5.6.
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CEO of Professional Science Editing for Scientists @ prosciediting.com