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What we don't yet have is the corresponding theory or set of mechanisms to hold algorithms accountable.
A corresponding theory for the one-way wave equations is not yet available.
Narain, Horvitz, and Thompson developed the corresponding theory for sampling without replacement.
In this paper, the notion of AB-multiresolution analysis is generalized, and the corresponding theory is developed.
The extension takes into account the corresponding theory describing the dynamic of freely vibrating multilayered doubly curved shells.
For such partially ordered groups the theory of generalized Toeplitz operators reduces to the corresponding theory for almost invariant sets.
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Partition functions of these matrix models are equal to the corresponding Nekrasov partition functions, and their spectral curves are the Seiberg Witten curves of the corresponding theories.
Thus dynamical theories determine their own logic of possible propositions, and corresponding theories which may be inconsistent, and are certainly as natural as their incomplete counterparts.
Therefore, further test of QED systems and their corresponding theories can be achieved using new observed systems.
Detlefsen argues that these conditions are not necessary for a predicate to count as a genuine provability predicate, and indeed there are provability predicates which violate the provability conditions and which give rise to consistency formulas which are provable in their corresponding theories.
They treat organisms as a unified total of almost identical individuals that change at the same time due to need and use the schemas of transmutationism and transformationism as do the advocates of the corresponding theories of evolution (Mayr 2001) who do not use population thinking.
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