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Two beams of light are coherent when the phase difference between their waves is constant; they are noncoherent if there is a random or changing phase relationship.
If there is a random phase component at any of the frequencies f1, f2 or f1 + f2 the bicoherence will reduce because at least one of the denominator terms in Equation (20) will increase.
"If there is a random, sporadic change in methane abundance, then I think it would likely be a geological production or release mechanism".
One mathematical consequence of the distinction is that if there is a random (i.e., 1 1) distribution of hormetic to threshold responses, the ratio of the corresponding isolated dosing points under certain assumptions would approach 3 1.
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Because the conserved sequences represent ∼21% of the total proteome, if there were a random distribution of T-cell epitopes in the viral proteins, one could expect about 45 class I and 20 class II epitopes in the conserved sequences, as compared to the observed 28 1.
The likelihood ratio test was used to determine if there was a random intercept for 'practice'practice
We compared this estimate with the respective probability if there was a random mixing between foreigners and Germans, taking into account the current proportion of TB cases in foreigners and Germans.
If there is a closed random tempered absorbing set ({B omega)}) of φ and φ is asymptotically compact in X, then ({A omega)}) is a random attractor of φ, where A omega)=bigcap_{t>0}overline{bigcup _{taugeq t}varphibigl tau,theta_{-tau}omega, B( theta_{-tau}omega) bigr)},quadomegainOmega.
If there is a significant random effect for participant, then there is variation in the measures over time.
If there is a non-significant random effect for participant, then this estimated random effect will be considered a sufficient summary of the physiological measures over time and linear mixed regression models will be used to examine the association between that random effect and the patient-centered outcome variables.
If there is a significant SLA-level random term (indicated using Wald chi-square) then this is evidence supporting significant between-SLA variation in the prostate cancer outcome.
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