Sentence examples for bound to the mean from inspiring English sources

Hence, the obtained results may not be realistic and represent the lowest bound to the mean structural collapse capacity.

Here we derive an upper bound to the mean square error of the reconstructed Wigner function.

By taking the derivatives with respect to r and h, one finds that the upper bound to the mean square deviation is minimized, for large n, by choosing r=frac{1}{h}=sqrt{frac{log n}{beta+2gamma }}.

end{aligned} (52) Whenever β is such that the logarithm of the number of data is much larger than the logarithms in which β appears explicitly, then, to leading order in n, the upper bound to the mean square deviation is minimized by r=frac{1}{h}=sqrt{frac{log n}{beta+2gamma}}.

The clusters bound to the electrode by means of dithiol are more uniformly distributed on the monolayer and their efficiency in transferring electrons between the electrode and the redox couple is higher than when they are simply adsorbed through weak van der Waals interactions with the methyl groups of 1-decanethiol.

The cellulase enzymes are temporarily bound to the cellulose by means of an anchor.

By using the P61, P64, P22 or CP31 peptides as probes and again detecting peptides bound to the filter by means of the secondary AP-labelled anti-biotin antibody it became clear that, as in the dot blot experiments, P61 and P64 showed the strongest binding.

On the other hand, under a physiological environment where the graphene surface was directly exposed to electrolyte solutions, ion species were directly bound to the defect sites by means of strong chemisorption [32].

Judge Sessions wrote: "The integrity of our democracy is inextricably bound to the voices of those with lesser means.

Simulations confirm the good ability of the proposed bound to predict the mean square error (MSE) of the maximum a posteriori (MAP) in all ranges of SNR.

The philosopher Immanuel Kant wrote that "whoever wills the end, wills the means". However, even those who initially support a plan to force treatment on a young patient are morally bound to question the means required to do so.