Now, let (delta_{tau }(t)=ttau ), then we can easily obtain the following concept of positive-direction almost periodic functions on the time scale (mathbb{T}).
Now, let (delta_{tau }(t)=ttau ), then we can easily obtain the following concept of negative-direction almost periodic functions on the time scale (mathbb{T}).
The log cumulative hazard function is used as opposed to the hazard function as the "end artefacts" in the fitted spline functions at the extremes of the time scale are more severe for the hazard function.
Suppose that the problem is that of finding a control function defined on the time scale such that the corresponding solution of the controlled system (527).
The amplitude of the autocorrelation function G as τ→0, is inversely proportional to the absolute concentration of the fluorescing molecules, whereas the range of τ-values over which G changes rapidly as a function of τ gives the time scale at which the fluorescence intensity fluctuations occur.
A mechanism of the redox process of polypyrrole is discussed based on CV and EQCM results involving the measurements performed as a function of a time scale of the redox cycle and a life time of the electrode.
The time scale varied as a function of the actuator size and composition, ranging from 10 min to less than 10 s.
The observed responses are a function of time scale; initial transfer of the faster moving cation ultimately gives way to the thermodynamically favored transfer of the slower moving anion.
Third, the COP complexity index was calculated by plotting the sample entropy of each coarse-grained time-series as a function of time scale, and then calculating the area under the resultant curve [ 28].
We show that this anomalous behavior is not a kinetic phenomenon, though the glass transition is a function of the experimental time-scale.
