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These self-adjoint extensions are multi-valued in general.
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For J-symmetric case, in order to study the J-self-adjoint extensions of J-symmetric differential and difference expressions for which the minimal operators are non-densely defined or the maximal operators are multi-valued, the theory for a J-Hermitian subspace was given in [26] which includes the GKN theorem for a J-Hermitian subspace.
Things are more complicated when the variables are multi-valued, as in the triangle game.
Cardinality constraints are also supported in the AM to specify the semantics for container objects whose attributes are multi-valued.
Convergence loci are multi-valued functions that map many optic axis-retardance pairs to a single output polarization state, and can be visualized easily on the Poincaré sphere.
In this section, we shall extend the concepts of commuting, compatible maps and mixed g-monotone property to the case when F is multi-valued map and prove the extension of the above mentioned results.
This suggests that the value of a stock should be multi-valued rather than single-valued.
Let be a metric space, be a multi-valued mapping and be a given mapping.
Definition 2.1 Let E be a real Banach space and T be a multi-valued mapping.
Theorem 1.8 Let F : X → X be a multi-valued map with nonempty closed values.
Fuzzy logic is a multi-valued logic that allows representing the subjective values of truth encounter in many real-life problems.
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