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Exact(2)
However, if we take T = Z, we obtain the discrete result, which is given in the following corollary.
Consequently, it is surprising to find that a simple continuous approximation apparently fails to reproduce the exact, discrete result.
Similar(58)
It described nanoscale particles as not discrete resulting from the aggregation of particles.
In the following we recall and prove some results in discrete fractional calculus that will be necessary in proceeding to obtain our discrete results (see [18 29]).
Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.
However, in contrast with the continuous results mentioned, the number of references of the corresponding discrete results is significantly lower; see [15 18].
Against limitations of heuristic intelligence bat algorithm about solving discrete problems in previous works, binary encoding, and sigmoid functions are applied to discrete results to improve the network utilization.
We have established several new Gronwall-Bellman-type integral inequalities containing integration on infinite intervals on time scales, which unify some known continuous and discrete results in the literature.
To further investigate these differences between microscopic and discrete results, we have performed another set of simulations.
Accuracy of the discrete results provided by the transitive relationship approach only depends on completeness and correctness of available data on which the approach is applied.
Some level of disagreement is to be expected when dealing with complex algorithms determining discrete results from continuous data and ploidy is no exception.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com