For comparison, energy of gas molecules is described by Maxwell-Boltzmann distribution and statistics and in a simplified form can be expressed by: Ni/N = e-ΔE/kT, where N is the total number of particles; Ni is the number of particles with energy by ΔE higher than a certain energy (usually probabilities Ni/N are considered); Bolzmann constant k = 1.38*10−23 J/K, T is temperature (e.g. 57 p.203).
The kernel function is usually a probability density function [17].
These vectors are characterized by the correlation matrices: R e = D = D(b) = diag(b) (a diagonal matrix with vector b at its principal diagonal), R n, and R u = < S ̃ R e S ̃ + > p + R n, respectively, where <·> pdefines the averaging performed over the randomness of Δ characterized by the usually unknown probability density function p, and superscript "+" stands for Hermitian conjugate.
Apart from the PAPR value, usually the probability of peaks occurrence is also taken into account since it is conceivable that the time-domain peaks possessing moderate instantaneous power can cause nonlinear distortions and performance deterioration that can prove to be much worse than the high power (strong) peaks occurring relatively infrequently.
So instead of being capable of deterring potentially larger threats to the United States (even this requires some imagination), the U.S. military has become bogged down in never-ending, faraway brushfire wars, which make the usually low probability threat of anti-U.S. terrorism worse.
Epidemiologists usually employ probability sampling, which ensures that every selected person or household has the same known chance of inclusion.
When a patient experiences an event other than the one of interest in the study, usually the probability of experiencing the event of interest is altered.
On the other hand, if an ion is detectable but not detected, then we penalize it during testing by using the (usually low) probability for a zero intensity ion.
Whilst the general public is now better informed, they have also become more risk averse, often refusing to accept the usually low probability of adverse outcomes associated with medical care and interventions [ 3].
In order to test the performance the spectrum sensing method, we usually test the probability of detection or the probability of misdetection for a fixed P f.
