Developments in finite Phan theory

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Developments in finite Phan theory

Geometric methods in the theory of Chevalley groups and their generalisations have made tremendous advances during the last few decades. Among the most noteworthy and influential of these advances are the systematic application of the concept of amalgams based on [49], [59], [117], the local-to-global approach [134], ingenious applications of combinatorial topology and geometric group theory (a...

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Generalized Finite Developments

The Finite Development theorem (FD) is a fundamental theorem in the theory of the syntax of the lambda-calculus. It gives sense to parallel reductions by stating that one can contract any given set of (possibly nested) redexes in any lambda term without looping and caring about the order in which these redexes are contracted. This theorem can be used to prove the Church-Rosser property, thus in...

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Finite Family Developments

Associate to a rewrite system R having rules l → r, its labelled version R having rules l ◦ m+1 → r • m , for any natural number m ∈ ω. These rules roughly express that a left-hand side l carrying labels all larger than m can be replaced by its right-hand side r carrying labels all smaller than or equal to m. A rewrite system R enjoys finite family developments (FFD) if R is terminating. We sho...

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Some Developments in Ramsey Theory

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Developments in Random Field Theory

Random field theory is used in the statistical analysis of SPM’s whenever there is a spatial component to the inference. Most important is the question of detecting an effect or activation at an unknown spatial location. Very often we do not know in advance where to look for an effect, and we are interested in searching the whole brain, or part of it. This presents special statistical problems ...

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ژورنال

عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial

سال: 2009

ISSN: 2640-7345,2640-7337

DOI: 10.2140/iig.2009.9.123