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This paper treats of the analytical solution of reliability problems in the special case when the failure rate acting on an object is a periodic piecewise constant function of time.
For example, for Weibull-distributed survival times the hazard is given by h(t) = γλtγ−1, which, depending of the choice of γ can be either an increasing, decreasing or constant function of time.
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σ ( k ) : Z + → N = { 1, 2, …, N } is called a switching law or switching signal, which is a piecewise constant function of discrete-time k and takes its values in the finite set.
The simplest model is given by a constant hazard function of time; the corresponding distribution is the exponential distribution with a rate parameter λ.
The equation indicates that the compensation constant is a function of time, and frequency bin,.
Additionally the rates are more or less constant as a function of time, and show steady-state reaction kinetics.
That is, the total activity remains constant as a function of time following injection when Ki/V 0) = β.
During the IS measurements, the equilibrium condition was assumed to be attained when the electrical resistance of the sample at a given RH and T was constant as a function of time.
Although the room temperature T 2 value was constant as a function of time for these samples, the corresponding T 1 value increased exponentially in the first days and tended to a limit value, indicated as (T_{1}^{infty }), for long time of observations.
We will now assume, and here is the trick, that N is not a constant, but a function of time N t).
Implicit in this is the assumption that the specificity is constant as a function of time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com