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There is no obvious way to state useful (i.e. tight) theoretical bounds for |M| and |T|.
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Recently, however, it was re-considered by Zhou et al. [ 28], who provided much tighter theoretical upper bounds on the runtime and space complexity.
A rigorous theoretical result guarantees its convergence and provides tight preliminary scaling.
Moreover, the simulation results are relatively tight to the theoretical upper and lower approximations.
Numerical results using Monte Carlo simulations and comparison to the Bayesian Cramér Rao Bound (BCRB) reveal that the performance of the proposed filter is tight to this theoretical estimation error lower bound.
Such approaches leave open the possibility of nonhedonic desire, motivation, and approach behavior, which tighter analytic or theoretical connections (as have been made, for example, by some hedonists and behaviorists) may counterintuitively exclude.
Research in the field has thus tended to be descriptive, since developmental psychology lacks a tight net of interlocking theoretical propositions that reliably permit satisfying explanations.
In the next section, we will show through simulations that the derived theoretical result is tight enough for medium to high SNR values.
Although there is some discrepancy between the experimental and theoretical results at tight nominal bend radii, the overall correlation is surprisingly good.
Theoretical calculations assuming tight packing of hard spheres, revealed that 20 ac-A6D-COOH nanovesicles with diameter 28 nm and 9 DA6-COOH nanovesicles with diameter 44 nm form clusters with diameter 97 and 120 nm, respectively.
Ultimately, a major limitation for many studies in computational biology is the lack of systematic, large-scale gold standards on which to evaluate the models; this generalized fact reinforces the need for a tight coupling between experimental and theoretical research, and we hope that inference methods such as Jump3 could be useful in prioritizing experimental designs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com