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Let S be a separable metric space, and let (F Ttimes Xto2^{S}) be a multifunction with nonempty complete values.
Let X and B be as in Theorem 1.1, and let (F:[0,a]times B^{k}to2^{X}) be a multifunction with nonempty closed values.
Let S be a separable metric space, (Wsubseteq X) a Souslin set, and let (F Ttimes Wto2^{S}) be a multifunction with nonempty complete values.
Let D be a paracompact Hausdorff topological space, Y be a topological vector space and F : D → 2 Y be a multifunction with nonempty convex values.
Let (F:[0,a]times B^{k}to2^{X}) be a multifunction with nonempty closed values, such that F is (mathcal{L}([0,a])otimesmathcal{B}(B^{k}))-measurable, and for all (tin[0,a]) the multifunction (F t,cdot)) is lower semicontinuous.
Let S : R n ⇉ R m be a multifunction with its graph, denoted by gph S : = { ( x, y ) ∈ R n × R m | y ∈ S ( x ) }, being closed and ( a ¯, b ¯ ) ∈ gph S. The multifunction D ∗ S ( a ¯, b ¯ ) : R m ⇉ R n, defined by D ∗ S ( a ¯, b ¯ ) ( v ) : = { w ∈ R n | ( w, − v ) ∈ N gph S ( a ¯, b ¯ ) }. is called limiting (Mordukhovich) coderivative of S at ( a ¯, b ¯ ) [17].
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Now, let G : 0, h ̃ → P E be a multifunction.
Let T : X → 2 X be a multifunction.
TFIIH is a multifunction general transcription factor with roles in both basal and activated transcription as well as in DNA repair.
The subject of the analysis is a multifunction steering wheel designed for people with paresis of the lower motor system.
Like the the original Surface Pro, the Pro 3 is a multifunction device.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com