Sentence examples for of such representations from inspiring English sources

Our method uses appropriately scaled function values in lieu of such representations.

Berezin representations of O p, q) are the restrictions of such representations to the subgroup O p, q).

This leads to an efficient practical method to reduce tensor products of irreducible representations into sums of such representations.

This led me to be on the lookout for reminiscences or reincarnations of such representations of collective identity in contemporary literature and public discourse.

The immense quantity of such representations is relevant to showing that these are not isolated statements, but rather, part of a national campaign in which defendant Rosedale individually and actively participated.

The use of such representations and processes, which we refer to as the algorithmic approach, is uniquely suited for problems requiring strong models, i.e., tasks and domains that are well defined, and/or involve close interaction with the environment.

Our algorithms are based on high-dimensional distributed representations, and their effectiveness and versatility derive from the unintuitive properties of such representations---from the mathematical properties of high-dimensional spaces.

Browning might want to invoke an immanent, flesh-friendly, life-loving God – especially in the depiction of Dolores and Sanchicha – but, in the event, neither of his two male characters is capable of such representation.

The semiotic analysis is an examination of the compromise between the meanings of a representation per se and the concept associated with the understanding of such representation.

The main technical difficulty of the paper is to establish an asymptotically sharp growth estimate for the kernel of such representation, expressed in terms of its distribution function.

Let us now remark the generalizing power of such representation.