Distributivity, partitioning, and the multiplication algorithm

Multiplication Distributivity of Proper and Improper Intervals

The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of some interval algebraic problems. In this paper we summarize and present all distributive relations, known by now, on multiplication and addition of generalized (proper and improper) intervals.

Multiplication, distributivity and fuzzy-integral. III

Weak Distributivity implying Distributivity

Let B be a complete Boolean algebra. We show that if λ is an infinite cardinal and B is weakly (λ, ω)-distributive, then B is (λ, 2)-distributive. Using a similar argument, we show that if κ is a weakly compact cardinal such that B is weakly (2, κ)distributive and B is (α, 2)-distributive for each α < κ, then B is (κ, 2)-distributive.

On Quisquater's Multiplication Algorithm

Smart card technologies have had a huge impact on the development of cryptographic techniques for commercial applications. The first cryptographic smart card was introduced in 1979. It implemented the Telepass 1 one-way function using 200 bytes! Next came smart cards with secret-key and public-key capabilities, respectively in 1985 and 1988. Implementing an RSA computation on a smart card was (...

ENERGY AWARE DISTRIBUTED PARTITIONING DETECTION AND CONNECTIVITY RESTORATION ALGORITHM IN WIRELESS SENSOR NETWORKS

 Mobile sensor networks rely heavily on inter-sensor connectivity for collection of data. Nodes in these networks monitor different regions of an area of interest and collectively present a global overview of some monitored activities or phenomena. A failure of a sensor leads to loss of connectivity and may cause partitioning of the network into disjoint segments. A number of approaches have be...