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For time series, entropy is a measure of the diversity of patterns for given time scales.
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Flipping such an on-off switch may exponentially increase the pace of evolution and the likelihood of new species propping up on a given time scale.
Example 4.2 For any given time scale T, let t 0 ≥ 1.
All other utilised proof procedures were independent of a given time scale.
By an interval we always mean the intersection of the real interval with the given time scale, that is,.
But for a particular given time scale, for example for T = ℝ and T = ℤ, one can easily find the functions g k and h k.
Since we are interested in the oscillatory behavior of solutions near infinity, we make the assumption throughout this paper that the given time scale T is unbounded above.
Since we are interested in oscillatory and asymptotic properties, we assume throughout this paper that the given time scale T is unbounded above.
Throughout this work, we suppose that is a time scale, a, b ∈ T with a < b and an interval [ a, b ] means the intersection of a real interval with the given time scale.
As we are interested in oscillatory behavior, we assume throughout this paper that the given time scale is unbounded above, that is, it is a time scale interval of the form with.
Throughout paper, we suppose that is a time scale, a, b ∈ T with a < b and an interval [ a, b ] means the intersection of a real interval with the given time scale.
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