In Section 4, we show that the suggested definition is well-posed on every isolated time scale and provides an effective formula for computing values of power functions of rational orders.
We point out that such results are not only symbolical, but due to (15), (16), they have a solid meaning, and it is possible to plot the solutions on every isolated time scale.
where we say that a property holds for -a.e. or a.e. on -a.e., whenever there exists a set with null Lebesgue -measure such that this property holds for every, is an arbitrary time scale, subindex means intersection to, are such that,,,,,, and is an -Carathéodory function on compact subintervals of, that is, it satisfies the following conditions.
At this time scale every neuron of the leech network was then correlated only to 1 or no other neuron, and hippocampal network neurons were correlated only to the neighboring and sometimes to a few not-neighboring neurons.
For the final MD production runs, data were collected every nanosecond over a time scale of 1 μs.
The time periods are: every month before the Tohoku main shock in linear time scale, and every 0.25 in the logarithmic time scale after the Tohoku main shock.
As was done before (Wu et al., 2009a), we divide the spectral ratios for each station into the following period: every month before the Tohoku main shock in linear time scale, and every 0.25 in the logarithmic time scale after the Tohoku main shock.
Every time a scale is used in a new context or with a different group of people, it is necessary to re-establish its psychometric properties [ 17].
Every time a scale is used in a new context or with a different population group, it is necessary to test its psychometric properties [ 12].
