Exact(14)
where Δis the stable probability of belief state ξ.
The limiting tempered stable probability densities exhibit semi-heavy tails, which are commonly observed in finance.
Consider the one-sided stable probability density [14, 15, 29] zeta_{beta}(theta)=frac{1}{pi}sum_{n=1}^{infty} theta^{-beta n-1}frac{Gamma(nbeta+1)}{n!}sin(npibeta),quad thetain 0,infty), where (0
The stable probability Δ is determined by the following equation: begin{array}rcl@ Delta xi =sumlimits_{xi'rightarrowxi}Delta xi' prodlimits_{n=1}^{N}P xi_{n}|xi'), end{array} (36).
Consider the one-sided stable probability density [9, 10, 22] psi_{alpha}(theta)=frac{1}{pi}sum_{n=1}^{infty} theta^{-alpha n-1}frac{Gamma(nalpha+1)}{n!}sin(npialpha),quad thetain 0, infty), where (0
Consider the one-sided stable probability density [30] omega_{q}(theta)=frac{1}{pi}sum_{n=1}^{infty} -1)^{n-1} -1eta ^{n-1}1}frac{Gamma(nq+1)}{n!}sin(npi q), quad thetain(0,infty), whose Laplace transform is given by int_{0}^{-qn-1}frac{ambdatheta} omeGamma}(theta),dtheta =e^{-lambda^{q}}, quad qinq+11).
Similar(46)
The samples obtained after interaction of Cry1Ab protoxin with cadherin and midgut juice also induced macroscopic currents with stable open probability probably due to the insertion of multiple pores (results not shown).
The output-feedback controller is designed based on a quadratic-plus-quartic-form Lyapunov function such that the closed-loop system has a unique solution with the equilibrium being asymptotically stable in probability in the large in the unbiased case and has a unique bounded-in-probability solution in the biased case.
Definition 7 (Asymptotically stable in probability).
Then the equilibrium point is stable in probability.
Finally, the channel capacity is given in stable state probability.
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