Semientwining Structures and Their Applications

Geometric Data Structures and Their Selected Applications

Finding the shortest path between two positions is a fundamental problem in transportation, routing, and communications applications. In robot motion planning, the robot should pass around the obstacles touching none of them, i.e. the goal is to find a collision-free path from a starting to a target position. This task has many specific formulations depending on the shape of obstacles, allowabl...

Extended Access Structures and Their Cryptographic Applications

In secret sharing schemes a secret is distributed among a set of users P in such a way that only some sets, the authorized sets, can recover it. The family Γ of authorized sets is called access structure. Given such a monotone family Γ ⊂ 2P , we introduce the concept of extended access structures, defined over a larger set P ′ = P ∪ P̃, satisfying these two properties: • the set P is a minimal s...

Magentotactic bacteria and their applications

Magentotactic bacteria are the types of bacteria capable of orientation in an external magnetic field because of the ability to produce structures called magnetosomes. Magnetosomes, nanometer-scale structures, are present in most of the magnetotactice bacteria. They are intracellular organelles composed of magnetic iron mineral crystals individually surrounded by a phospholipid layer. Because o...

Sequential Methods and Their Applications

MULTIPLIERS AND THEIR APPLICATIONS IN EARTHQUAKE ENGINEERING

In this paper we shall study the multipliers on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all multipliers on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of m...