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Pauili Matrixes and Generalized Rotations

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In the article, using spinor representation of orthogonal transformations, the equations, for generalized rotations are received. The rotations are defined as set of all possible rotations, both with zero, and non-zero centers which carry out transformations of initial 3-dimensional point into a final. The expressions between second order complex unitary transformations matrixes and real orthogonal matrixes of rotations in L3 are received, that allows easily calculating of corresponding Euler's angles.

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