In this paper we present a framework for behavioural simulation. A uniform voxel space representation is used to implement the environment mechanism of the framework. An example environment is presented where actors with olfactory sensors are able to direct their motions according to a scent of the chemicals in the voxel space based on mass transfer theory. Objects in the enviroment are scan co...

We present a variant of the complex multiplication method that generates elliptic curves of cryptographically strong order. Our variant is based on the computation of Weber polynomials that require significantly less time and space resources than their Hilbert counterparts. We investigate the time efficiency and precision requirements for generating off-line Weber polynomials and its comparison...

We prove local strong convexity of the space-time level sets heat equation on convex rings for zero initial data, strengthening a result Borell. Our proof introduces parabolic version two-point maximum principle Rosay-Rudin.

This paper describes an authentication and security protocol called data spread for use on the Internet The protocol applies address space diversity to outgoing messages and when combined with reasonable but not necessarily strong encryption techniques o ers fast secure and authentic able information exchange between communicating entities

Throughout this paper, we always assume thatH is a real Hilbert space, whose inner product and norm are denoted by 〈·, ·〉 and ‖ · ‖. The symbols → and ⇀ are denoted by strong convergence and weak convergence, respectively. ωw xn {x : ∃xni ⇀ x} denotes the weak w-limit set of {xn}. Let C be a nonempty closed and convex subset of H and T : C → C a mapping. In this paper, we denote the fixed point...