Sentence examples for representations whose from inspiring English sources

We show that the fixed point algebra OG of the Cuntz algebra On n = 2, 3...,∞, under the canonical action of a strongly compact group G of unitaries on the generating Hubert space H is simple if the defining representation of G is a direct sum of finite dimensional representations whose determinant takes values in finite subgroups of the circle.

(f) External guidance: "objective" knowledge consists of representations whose content is dictated by the way things really are, not by the knower.

This theory rests on the assumption that human cognition does not consist of amodal representations that bear arbitrary relations to their referents in the world, but rather representations whose activation patterns include information from various sensory modalities.

The representations whose function is to register zero-crossings for subsequent perceptual analysis, for example, operate independently of the person's propositional attitudes, and so their content does not depend on the person's conceptual repertoire.

Some connectionists disagree (e.g., Chalmers 1993, Niklasson and van Gelder 1994 see also Browne 1998 and Browne and Sun 2001 for discussion and overview of models): they claim that you can have structure-sensitive transformations or operations defined over representations whose syntactic structure is non-concatenatively realized.

Contrary to the folk notion of a mental lexicon where word types are associated to fully specified meanings or senses, lexical semantic forms have therefore been taken to correspond to schematic representations whose primary function is to supervise the recruitment of the extra-linguistic information required to interpret word occurrences in language use.

Suppose that π: A→L(H) is a faithful representation whose image does not contain nonzero compact operators.

The aesthetic forges a powerful "racial regime of representation" whose genealogy runs from Enlightenment thinkers like Kant and Schiller to late Modernist critics like Adorno and Benjamin.

Recently, Deep Learning (DL) method has received a significant breakthrough in the data representation, whose success mainly depends on its deep structure.

A particular proposal is argued for in which argument structure is a syntactic level of representation whose information and formal design is unique to this level and which is related to other levels by correspondence principles.

Until about 50 years ago, the prevailing account of Boccaccio's Decameron was of an unreflective celebration of the natural, especially sexual, world, which in turn was said to play an equally unreflective role in the emergence of the kind of secularly based realistic representation whose history Auerbach sketches and celebrates in Mimesis.