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arxiv: 0811.2958 · v1 · pith:6GNLCBUKnew · submitted 2008-11-18 · 🧮 math.FA · math.MG

Infinite Bar-Joint Frameworks

classification 🧮 math.FA math.MG
keywords infiniteframeworksobtainedaspectsbar-jointconditionscontinuousdeveloped
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Some aspects of a mathematical theory of rigidity and flexibility are developed for general infinite frameworks and two main results are obtained. In the first sufficient conditions, of a uniform local nature, are obtained for the existence of a proper flex of an infinite framework. In the second it is shown how continuous paths in the plane may be simulated by infinite Kempe linkages.

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