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Matrix transposition induces an involution ττ on the equivalence classes Nike Free 3.0 of semi-simple nn-dimensional complex representations of the three string braid group B3B3. We show that a connected component of this variety can detect braid-reversion or that ττ acts as the identity on it. We classify the fixed-point components.
We introduce a new numerical method inspired in the cellular automata methodology to study the transmission of waves in two-dimensional solids. The stability of the second-order method is investigated and compared with that of a classical finite differences method for both wave and elastic equations.
The aim of this article is to give some continued fractions expansions of the geometric matrix mean in order to make its computation practical and efficient. At the end, this work will be completed by illustrating our theoretical results with some numerical examples which explain the rapidity of the convergence of the obtained continued fractions expansions.