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These samples contain varying complexities of microbial community which give in-depth representation of microbes in sea water[ 27].
As mentioned in Section 2.1 we need appropriate functions to convert the state vectors given in one of the representations into the other representation.
In order to be able to use both models at the same time, one always needs the appropriate functions to convert the state vectors given in one of the representations into the other representation.
This goes beyond the usual division of labor in terms of syntax and semantics, by adding a third level of representation given in terms of DAGs.
An explicit characterization of the filters' state space representation is given in terms of the solutions to a convex optimization problem associated with the synthesis conditions.
We emphasize that is given in an orthogonal representation (i.e. a representation of real type) of even dimension, as is given in an irreducible representation obtained by restricting the standard representation of so ( 2 d ).
And if proponents of the abilities view remain neutral about the existence of mental representations, they open themselves to the criticism that explication of these abilities is best given in terms of underlying mental representations and processes (see Fodor 1968 and Chomsky 1980 for general discussion of the anti-intellectualist tradition in the philosophy of mind).
Sequential machine decomposition consists in representation of a given machine as a network of collaborating partial machines that together realize behavior of the given machine.
More precisely, the following operations preserve the validity of a hypothesis given in the positive representation: changing order of columns in the matrix changing order of literals in a column adding a column (Ctheta ) to the matrix containing the column (C).
A similar representation can be given in terms of the corresponding bifrequency kernel : (3).
A similar representation can be given in terms of the corresponding bi-frequency kernel : (13).
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