Furthermore, given a (C^{ast} -algebra (mathbb{A}), there exists a Hilbert spaC^{ast} -algebrafully ∗-representation ((pi, H)) of (mathbb{A}) such there(pi(mathbb{A})) can bexists a closed (C^{ast})-subalgebra of (L(Hilbert].
Recent studies have applied this approach to microarray analysis and found that it faithfully preserves the initial representation of RNA species [ 15- 17].
The scale and logistics of the American conflict were faithfully portrayed in visual representations of military bridges and roads, the omnipresence of the railroad, and the movements and massing of men and armies in campaign.
The Isomap algorithm attempts to find a low-dimensional representation of a high dimensional data set that most faithfully preserves pairwise distances between input patterns measured along the submanifold from which they were sampled.
Although the study attempted to reproduce as faithfully as possible the usual psychiatry practice in Puerto Rico with appropriate representation throughout the Island, exclusion and inclusion criteria limited access to hospitalized patients with refractory depression, suicidal behavior and associated medical conditions.
Therefore, one of the prevailing challenges in chemical knowledge representation is crafting logic-based formalisms that are able to faithfully represent cyclic structures and, thus, support ontology-based applications that automatically classify chemical compounds.
In other words, we assume that our mathematical models are faithful representations of physical systems and that the state spaces employed faithfully represent the space of actual possibilities of target systems.
Here, we show that whereas younger people mentally dichotomize aging into two groups, themselves (younger) and others (older), older participants faithfully represent the features of young age, middle age, and old age, with richer representations of all considered ages.
The three databases that cite this study differ in their representation of BAP1 as either a human or a mouse interactor of BRCA1, with only IntAct faithfully representing both versions.
In part due to her name, in part due to her representation as a skeleton carrying a scythe, in part because of all the criminal types who so faithfully follow her, La Santa Muerte is often accused of inflicting suffering and death upon people.
