Optimal Rational Approximation Number Sets: Application to Nonlinear Dynamics in Particle Accelerators
نویسندگان
چکیده
We construct optimal multivariate vectors of rational approximation numbers with common denominator and whose coordinate decimal expansion string of digits coincides with the decimal expansion digital string of a given sequence of mutually irrational numbers as far as possible. We investigate several numerical examples and we present an application in Nuclear Physics related to the beam stability problem of particle beams in high-energy hadron colliders.
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