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Experimental results are provided and compared with the given theory.
The approaches taken for motivating the systems of paraconsistent logic which we have so far seen isolate inconsistency from consistent parts of the given theory.
Intuitively, the strongest necessary condition of a proposition is the most general consequence that we can deduce from the proposition under the given theory, and the weakest sufficient condition is the most general abduction that we can make from the proposition under the given theory.
Also, we obtain some associated results related to q-analogues of the Laplace-type integral on hyperbolic sine (cosine) functions and some others of exponential order type as an application to the given theory.
Many non-virtual ethical approaches put forward theories of virtue, and what distinguishes them from virtue ethics is that the given theory of virtue comes later in the order of explanation, rather than itself serving as the basis for understanding (all of) morality.
Standard "theory revision" systems use a given set of "labeled queries" (each a query paired with its correct answer) to transform the given theory, by adding and/or deleting either rules and/or antecedents, into a related theory that is as accurate as possible.
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Simulations on artificial signals and real images show us that the bit-error probability is accurately predicted by the given theories for a wide range of host and noise PDF shapes.
This may involve transforming it in some way, in order for the resources of a given theory or conceptual framework to be brought to bear.
How do archaeologists keep themselves from seeing only the facts that fit a given theory?
The accuracy of given theories for each fixed problem is established in terms of displacement and stress fields.
Along the way writer gives theories about the Israelites' Sinai wanderings as told in Exodus.
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