Titlebook: Lectures on Boolean Algebras; Paul R. Halmos Textbook 1974 Springer-Verlag New York Inc. 1974 Boolean algebra.Boolesche Algebra.Factor.Fin

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,Boolean σ-algebras,is means, by definition, a Boolean algebra in which every countable set has a supremum (and therefore, of course, an infimum). Similarly a field of sets is a . if it is closed under the formation of countable unions (and intersections).

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Boolean spaces,lean algebra is isomorphic to some field of subsets of some set. In order to get a usable description of what kind of fields and what kind of sets are needed, we proceed now to introduce a rather special category of topological spaces.

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The representation theorem, to define 2-valued homomorphisms on . (see §9). This comment suggests that if we start with a Boolean algebra . and seek to represent it as the dual of some Boolean space ., a reasonable place to conduct the search for points suitable to make up . is among the 2-valued homomorphisms of .. The sugge

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Paul R. Halmosnd antigens are represented by binary strings, or more generally, digit strings with a given number of letters. Various match rules are presented to describe the binding interaction between receptors and antigens. A second class of models is geometric models where receptors and antigens are represen

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Paul R. Halmosg synergy, albeit one only now being properly explored and exploited, between immunol­ ogy and computational science. This area of intersection we christen in silico immunology. Immunology is an inspiration for computational scientists seek­ ing practical and philosophical metaphors for their work;

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Paul R. Halmosin space and over time in two principal ways: through direct physical contact, and via intermediate signaling molecules. The network of these interactions is extremely complex and difficult to analyze. However, an attempt to understand how this network is organized is critical to further development

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Paul R. Halmoshe body, at sufficient concentration, over a given period of time. Thus, the potential to truly elicit an effect is governed by both the intrinsic activity/toxicity of the drug (or its transformation products) and its pharmacokinetic profile. As the pharmaceutical industry has become increasingly aw