Namely, it was shown by Shylakhtenko that the quantity is monotone non-decreasing for integer , and the Fisher information is monotone non-increasing for integer . This is the free probability analogue of the corresponding monotonicities for differential entropy and classical Fisher information that ...
Music is an established part of every worship service. Though the styles are sometimes quite different, music can be heard in almost every church. The style varies with the country and age group. The spectrum goes from Gregorian (monotone chants) to songs, sung in a slow, melancholy manner ...
As is well known, the conditional expectation operator also extends to a contraction ; by monotone convergence we may also extend to a map from measurable functions from to the extended non-negative reals , to measurable functions from to . We then define the “extended Hilbert module” to ...
What does “it” mean in this sentence? How do you understand “fad” in the first paragraph? “It” here means the social networking that made the teenagers tired easily. At that time the author as well as many others believe that social network can not last very long, it was a ...
The main problem with living autistic in today's society is that the world just isn't built for us. There's so many ways that we can get overwhelmed. For example, the thing that makes me overwhelmed all the time is loud noises, which means I never crank up my music really loud and...
monotone of judgement and begin to act for the benefit of those around us, we will spread the only thing that ever needs to go viral: kindness. In the end, we will discover, probably quite grudgingly, that the party pooper is almost always right. I mean, if Pooh Bear paid attention to...
which means e does not pass its check, then $$\begin{aligned}&{\pr }[{\mathcal {c}}_e=0 \mid \sigma ,x] = 1-\tilde{a}_e(\sigma _u,\sigma _v)\tilde{a}_e(x_u,\sigma _v)\tilde{a}_e(\sigma _u,x_v)\\&\text {and}\quad \\&{\pr }[{\mathcal {c'}}_e=0\...
Using that [Math Processing Error]1−(ka)/2A is a (strictly diagonally dominant) M-matrix, we have that the scheme is monotone and a similar argument to above gives the same bounds on the solution as for the explicit scheme, without constraints on the time-step. Therefore, we can let...
RQ6: Education.Table 1shows that the MANCOVA detects significantly different estimated marginal means for H2T (except IN H2G), butTable 1andFigure 3shows that there is no monotone in- or decreasing tendency among educational levels. A posthoc partial correlation between increasing educational level...
MTMonotone MTMoving Target MTMotor Transport MTMidas Touch MTMeal Ticket MTMuay Thai(Thai martial art) MTMinistry Team(US DoD) MTMasoretic Text(Jewish Bible) MTMission Trajectory MTMagnetotelluric MTMegaTokyo(anime) MTMegaTokyo(webcomic)