This paper proposed a novel image scrambling scheme based on chaos theory and the sorting transformation. The new algorithm calculates the permuting address codes by sorting the chaotic sequence, not like common method by quantizing the chaotic sequence. Therefore, the new scheme does not require knowing the probability density function of the chaotic orbits in advance, thus not only facilitati...

The stochastic differential equations of many diffusion processes which arise in studies of population growth in random environments can be transformed, if the Stratonovich stochastic calculus is employed, to the equation of the Wiener process. If the transformation function has certain properties then the transition probability density function and quantities relating to the time to first atta...

-In this paper an analysis and realization of Data Transmission Control based on Boolean Transformation for increasing the reliability of checksum and echoplex error detection has been proposed. Such transformations are used to amplify single errors and decrease the probability of undetected errors. The efficiency of the Boolean transformations in checksum and echoplex error detection schemes a...

We consider pure bipartite states shared by Alice and Bob. Let A and B be the labels of their respective quantum systems, each with d dimensions. Suppose Alice and Bob want to transform a state |ψ〉 to another state |φ〉. They each have complete classical descriptions of the states, but they can only perform Local quantum Operations and Classical Communication (LOCC) [1]. The transformation can b...

In this paper, a new method is proposed to evaluate the reliability of stochastic mechanical systems. This technique is based on the combination of the probabilistic transformation methods for multiple random variables (MPTM) and the finite element method (FEM). The transformation technique evaluates the Probability Density Function (PDF) of the system response by the use of the Jacobian of the...

We consider pure bipartite states shared by Alice and Bob. Let A and B be the labels of their respective quantum systems, each with d dimensions. Suppose Alice and Bob want to transform a state |ψ〉 to another state |φ〉. They each have complete classical descriptions of the states, but they can only perform Local quantum Operations and Classical Communication (LOCC) [1]. The transformation can b...

A nonlinear wave transformation model which can calculate the distribution of wave height inside a harbor with good accuracy has been used to estimate harbor tranquility. In a conventional procedure, however, the characteristics of such calculation could not be applied enough because the variation of wave height ratio with the steepness of incident waves would be ignored in prediction of an occ...

This chapter offers an accessible introduction to the channel-based approach to Bayesian probability theory. This framework rests on algebraic and logical foundations, inspired by the methodologies of programming language semantics. It offers a uniform, structured and expressive language for describing Bayesian phenomena in terms of familiar programming concepts, like channel, predicate transfo...

In this paper we study the probability of differentials and characteristics over 2 rounds of the AES with the objective to understand how the components of the AES round transformation interact. We extend and correct the analysis of the differential properties of the multiplicative inverse in GF(2) given in [17]. We show that AES has characteristics with a fixed-key probability that is many tim...

The e-value or epistemic value, ev(H), measures the statistical significance of H, a hypothesis about the parameter θ of a Bayesian model. The e-value is obtained by a probability-possibility transformation of the model’s posterior measure, p(θ), and can, in turn, be used to define the FBST or Full Bayesian Significance Test. This article investigates the relation of this novel approach to more...