By using 200 time windows (it is sufficient to have a negligible error in the calculated fluence due to the numerical evaluation of the integral): the computation time for calculating Eq. (11) for a single time is about 0.1 s with an Intel Centrino2 processor.
In this study, mild time pressure was induced by using a time limit of 20 seconds – a constraint sufficient to complete the task but not generous.
However, the gradient of can be greatly simplified by using the sufficient statistics to summarize the continuous time Markov process (CTMP) at each branch (Holmes and Rubin, 2002).
Firstly, by using average dwell time approach and implicit function theorem, a sufficient condition is presented such that the nonlinear discrete-time singular Markov jump systems are singular finite-time bounded and of a unique solution.
Resolution of 1 mm can be maintained during motion by using short acquisition time sequences while the SNR remains sufficient for accurate MR-thermometry.
1) Are the symptoms in excess of those expected given the type and amount of substance used and the duration of use? 2) Have the symptoms occurred in periods of abstinence? 3) Did the onset of the symptoms precede the onset of the substance use by a sufficient time period?
By using the discrete-time Lyapunov sense, the sufficient condition of the asymptotic stability for the error system is given and a prescribed level of the H∞ norm is ensured to guarantee the H∞ fuzzy filter performance.
Firstly, by using the average dwell time approach, sufficient conditions which can guarantee the L1 finite-time boundedness of the underlying system are given.
At best, they said, efforts by central banks to ease financial conditions could allow the 17 European Union countries that use the euro sufficient time to agree on a plan for its preservation.
In contrast, all time-gated images recorded by using 1⋅Eu exhibited sufficient emission to image the cell clearly; the cell structure remained visible even when selecting the longest time delay with the lowest number of photon counts (75 100 μs, trace (d)).
