We characterise the aperiodic autocorrelation for a Boolean function, f , and define the Aperiodic Propagation Criteria (APC) of degree l and order q. We establish the strong similarity between APC and the Extended Propagation Criteria (EPC) as defined by Preneel et al. in 1991, although the criteria are not identical. We also show how aperiodic autocorrelation can be related to the first deriv...

This paper studies the application of interval analysis and consistency techniques to ordinary di erential equations. It presents a unifying framework to extend traditional numerical techniques to intervals. In particular, it shows how to extend explicit methods to intervals. The paper also took a fresh look at the traditional problems encountered by interval techniques and studied how consiste...

Signal and image enhancement is considered in the context of a new type of diffusion process that simultaneously enhances, sharpens, and denoises images. The nonlinear diffusion coefficient is locally adjusted according to image features such as edges, textures, and moments. As such, it can switch the diffusion process from a forward to a backward (inverse) mode according to a given set of crit...

Hypofractionated radiotherapy for the adjuvant treatment of breast cancer has been standard practice in UK since 2009. Ten-year follow-up data from START-B have confirmed efficacy 40 Gy 15 fractions, with reduced toxicity when compared previous 50 25 fractions [[1]Haviland J.S. Owen J.R. Dewar J.A. Agrawal R.K. Barrett J. Barrett-Lee P.J. et al.The Standardisation Breast Radiotherapy (START) tr...

the object of this study was evaluation of a walking tractor drawn peanut harvester at different conditions of soil moisture content and forward speed and comparing it with manual harvesting. the evaluation factors for peanut harvester were two levels of soil moisture content and three levels of forward speed. the results revealed that the effect of soil moisture content was only significant on...

We study a class of ergodic BSDEs related to PDEs with Neumann boundary conditions. The randomness of the driver is given by a forward process under weakly dissipative assumptions with an invertible and bounded diffusion matrix. Furthermore, this forward process is reflected in a convex subset of R not necessarily bounded. We study the link of such EBSDEs with PDEs and we apply our results to a...

An important determinant of option prices is the elasticity of the pricing kernel used to price all claims in the economy. In this paper, we rst show that for a given forward price of the underlying asset, option prices are higher when the elasticity of the pricing kernel is declining than when it is constant. We then investigate the implications of the elasticity of the pricing kernel for the ...