Displaying similar documents to “Minimax checking of replaceable units”

On the fundamental units of some cubic orders generated by units

Jun Ho Lee, Stéphane R. Louboutin (2014)

Acta Arithmetica

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Let ϵ be a totally real cubic algebraic unit. Assume that the cubic number field ℚ(ϵ) is Galois. Let ϵ, ϵ' and ϵ'' be the three real conjugates of ϵ. We tackle the problem of whether {ϵ,ϵ'} is a system of fundamental units of the cubic order ℤ[ϵ,ϵ',ϵ'']. Given two units of a totally real cubic order, we explain how one can prove that they form a system of fundamental units of this order. Several explicit families of totally real cubic orders defined by parametrized families of cubic...

Reliability of system with dependent units

Raimi Ajibola Kasumu (1985)

Aplikace matematiky

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The availability of a system with dependent units is obtained in the case where the system fails when one of the essential units fails. Markov model is assumed. The system considered consists of n dependent units of which r ≤ n units are essential units. A unit is said to be essential if its failure causes the system to fail. The mean and variance of time to system failure are given. Unit reliability is also discussed.