analytic structure

analytic structure

[an·əl′id·ik ′strək·chər]
(mathematics)
A covering of a locally Euclidean topological space by open sets, each of which is homeomorphic to an open set in Euclidean space, such that the coordinate transformation (in both directions) between the overlap of any two of these sets is given by analytic functions.
References in periodicals archive ?
As for applications of the analytical structure, he proves the generalized Hyers-Ulam stability of the Cauchy additive functional equation f(x [direct sum] y) = f(x) [direct sum] f(y) in tangle space which is a set of real tangles with analytic structure and describes the DNA recombination as the action of some enzymes on tangle space.
Carefully, although at times densely, written, it reads literature and law alongside the thought of Judith Butler and Pierre Bourdieu and an analytic structure provided by the contemporary Gothic.
One such urban analytic structure has been developed by CAERUS Associates, and championed by the Combatting Terrorism Technical Support Office (CTTSO).
However in this volume of papers, virtually all have a strength which in some sense is also their weakness: namely, they are well referenced--the depth of their scholarship is clearly apparent and demonstrated--but the same scholarship constrains their own forward push of the analytic structure. The articles either are descriptive within the context of an existing framework or move the framework forward only marginally without leaving the reader/analyst with a clear set of tools to expand and continue the research.
The 2012 survey results build on the analytic structure that was implemented in 2010 after two years of redesign.
Notwithstanding the ambitious scope of their analytic structure, the authors make no claim to have uncovered many sweeping new insights about globalization and drench most of their judgments with qualifications.
By providing an analytic structure for decisionmaking environments currently viewed as not amenable to formal methods, this research may improve the performance of various organizations in both the private and public sectors.
The hazard model is combined with an internal market structure analysis using a generalized factor analytic structure. We estimate a latent structure that is both store and store chain specific.
The analytic structure of G induces a unique algebraic group structure on [G.sub.0] in such a way that every analytic morphism of G restricts to an algebraic morphism on [G.sub.0].
Analytic structures and scientists were also involved in the study of export issues.

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