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Titlebook: Biodefence; Advanced Materials a Sergey Mikhalovsky,Abdukhakim Khajibaev Conference proceedings 2011 Springer Science+Business Media B.V. 2

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Biodefence978-94-007-0217-2Series ISSN 1874-6489 Series E-ISSN 1874-6527
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NATO Science for Peace and Security Series A: Chemistry and Biologyhttp://image.papertrans.cn/b/image/186776.jpg
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Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems,We present an algorithm to isolate the real roots, and compute their multiplicities, of a zero-dimensional triangular polynomial system, based on the local generic position method. We also presentexperiments that demonstrate the efficiency of the method.
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,The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System,Using tools of computer algebra we derive the conditions for the cubic Lotka–Volterra system ., . to be linearizable and to admit a first integral of the form Φ(.,.) = .... + ⋯ in a neighborhood of the origin, in which case the origin is called a 2: − 3 resonant center.
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Invertibility in Groupoid ,*-algebras,Given a second-countable, Hausdorff, étale, amenable groupoid . with compact unit space, we show that an element a in . is invertible if and only if . is invertible for every x in the unit space of .,where . refers to the . of . on .. We also prove that, for every a in ., there exists some . such that ..
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Complexity in Tropical Algebra (Invited Talk),We give a survey on complexity results in tropical algebra.
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The shape of complex systems,Categorical modelling is a useful tool in the study of systems. To motivate this, interpretation of elementary category theory ideas are illustrated in terms of time-varying complex systems. A brief introduction to the notion of categorical shape theory to model approximating situations is given.
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