934 resultados para Helpful elements
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2nd ed
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Pt. 1
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Magdeburg, Univ., Fak. für Maschinenbau, Diss., 2014
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We describe a method for determining the minimal length of elements in the generalized Thompson's groups F(p). We compute the length of an element by constructing a tree pair diagram for the element, classifying the nodes of the tree and summing associated weights from the pairs of node classifications. We use this method to effectively find minimal length representatives of an element.
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The first main result of the paper is a criterion for a partially commutative group G to be a domain. It allows us to reduce the study of algebraic sets over G to the study of irreducible algebraic sets, and reduce the elementary theory of G (of a coordinate group over G) to the elementary theories of the direct factors of G (to the elementary theory of coordinate groups of irreducible algebraic sets). Then we establish normal forms for quantifier-free formulas over a non-abelian directly indecomposable partially commutative group H. Analogously to the case of free groups, we introduce the notion of a generalised equation and prove that the positive theory of H has quantifier elimination and that arbitrary first-order formulas lift from H to H * F, where F is a free group of finite rank. As a consequence, the positive theory of an arbitrary partially commutative group is decidable.
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Projecte de recerca elaborat a partir d’una estada a la Universitat de Toronto, Canadà, des d’octubre del 2006 a febrer del 2007. El projecte Barchito és un projecte Interrnacional que va involucrar tres universitats: La Universitat Autònoma de Barcelona, la Universitat de Toronto (Canadà) i la Universitat de Roosevelt (USA). El seu objectiu principal era posar en contacte estudiants de les tres universitats (de tres cursos diferents) per discutir al voltant de temes com ara l'ensenyament/aprenentatge i elements culturals de cada país. Aquest projecte presenta la natura de l'experiència des de la visió dels participants: alumnat i professorat. Superant diferències inicials de llengua, els participants van aprendre d'altra cultura, van aprendre sobre altres maneres d'ensenyar i van aprendre, en definitiva, sobre ells mateixos. L'eina d'aprenentatge col.laboratiu els va ajudar a sobrepassar el context immediat, emprant per això, l'eina tecnològica anomenada: Knowledge Forum.
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In contemporary society, religious signification and secular systems mix and influence each other. Holistic conceptions of a world in which man is integrated harmoniously with nature meet representations of a world run by an immanent God. On the market of the various systems, the individual goes from one system to another, following his immediate needs and expectations without necessarily leaving any marks in a meaningful long term system. This article presents the first results of an ongoing research in Switzerland on contemporary religion focusing on (new) paths of socialization of modern that individuals and the various (non-) belief systems that they simultaneously develop