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The Nobel for peace has more often than not rewarded extraordinary initiatives whose realization is years away.
The proposed approach is suitable for nonlinear systems subjected to non-stationary inputs whose realization is unknown, and that are modeled as stochastic processes.
A progressive Supreme Court could be Clinton's most noble legacy, but one whose realization will require strong Democratic voices in the Senate — something that voters should remember in other races to be decided on November 8th.
37 (1999) 717], we have built a numerical computation of the "optimal criterion", which is a mathematical condition whose realization make certain the unconditional thermal stability of a thin superconducting composite wire of limited length.
The bargain is a good one, because what is surrendered are rights of dubious value, whose realization depends solely on an individual's own might, and what is obtained in return are rights that are both legitimate and enforced by the collective force of the community.
health, which is a state of complete physical, mental and social well-being, and not merely the absence of disease or infirmity, is a fundamental human right and that the attainment of the highest possible level of health is a most important world-wide social goal whose realization requires the action of many other social and economic sectors in addition to the health sector.
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The simplest point process is arguably the Poisson point process, whose realizations are sets of random independent points.
Thus, we will simply denote by i|ρ the random variable whose realizations are i p,q, with the knowledge of ρ.
The answer is unfortunately a resounding no: Vardanyan (1986) has proved on the basis of ideas by Artemov (1985) that the set of sentences of predicate provability logic all of whose realizations are provable in PA is not even recursively enumerable, so it has no reasonable axiomatization.
Let X be the random variable whose realizations are the observed samples at the matched filter output and define the decision region associated to the information bit b i as begin{aligned} Z_{i}=left{ X in mathbb{R};~Prleft[widetilde{b}_{i} = b_{i}~|~ Xright] > Prleft[widetilde{b}_{i} neq b_{i} ~|~ Xright] right}.
The graphs show that the estimation by the parametric method is almost unbiased even if the sample size is relatively small, both for dichotomization and trichotomization for variables whose realizations in healthy and diseased groups have a similar central tendency, whereas the naïve repeated search method shows non-negligible bias even when the sample size is large (n = 300).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com