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'In What Sense is Modal Logic Many-Valued?' proposes an interpretation of Łukasiewicz's four-valued matrices for modal logic.
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The mass and the stiffness matrices for the modal analysis can be obtained from the linearized equations of motion.
Dimensionless parameters are identified and the explicit mass and the stiffness matrices for the modal analysis are obtained with the dimensionless parameters.
Exact global coefficient matrices for the combined modal frequencies, the modal shape and for the discrete sub-system have been derived.
A matrix for a modal logic M extends a matrix for a propositional logic by adding a unary function that corresponds to the connective ◊.
Further, this radiation resistance matrix, unlike the traditional ones for modal functions, only needs to be calculated once for all plates with the same aspect ratio.
A Multinomial Logit model for modal split and network assignment models will follow an iterative process to provide the final OD matrices and service variables for each mode of transport.
where Φ is the matrix of mode shapes φ i and Λ is a diagonal matrix whose elements are ω i 2. In fact, expression (3) is the complete form of the simulation approach for modal identification.
John Divers in (Divers 1995) argues that "Modal fictionalism cannot deliver possible worlds semantics" for modal logics.
Kripke models for modal logic predated those for intuitionistic logic.
Kripke models are still the norm for modal semantics.
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