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This facilitates the determination of a particular function to which the Hardy-Ramanujan formula is applicable.
One way employs a so-called functional model, i.e., the specification of a statistical model by means of a particular function.
As Sabra says, Avicenna seems to hold that "the properties constituting the subject matter of logic would be inconceivable without the exercise of a particular function of language" (Sabra 1980: 764).
In the following theorem we are going to give a characterization in terms of a particular function, (in the framework of the Banach spaces with the (FPP)), of those -accretive operators which have zeroes.
Obtaining the parameters that yield the approximation of a particular function depends on a supervised learning algorithm, generally using a gradient descendent approach that iteratively minimizes the approximation error for a given dataset, but often leads to local minima [33].
Conservation usually indicates preservation of a particular function, and in the Mu class, it would appear that the conserved Ile10 is not necessary to maintain catalytic functions but to prevent loss of broad substrate acceptance.
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To date, most of the data of gene regulation mechanisms in dinoflagellates has emerged sporadically, from studies of specific genes that are of interest for a particular function.
These results indicate the applicability of GA/PLS to identify genes relevant to a particular function of interest, e.g., TG accumulation.
Moreover, the random selection of input variables for a particular function also makes it desirable for cryptographic function modules.
The molecular biologist doesn't account for life, but for a particular function of life (usually in a particular strain of a particular species).
A p-value is calculated by comparing the number of genes-of-interest in a particular function with their occurrences in all the functions in the IPA knowledge database.
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