It is supposed that there exists a system O' (intrinsic system) in which the field equation for a spin i representation has the simple form yf* dyj'/dxf*' =0. This system is related to the physical system (in which all measurements are performed) by an affine connection which is induced by a certain group of local transformations. The investigation given here deals with the group of local four-...

The simple act of standing up is an important and essential motor behavior that most humans and animals achieve with ease. Yet, maintaining standing balance involves complex sensorimotor transformations that must continually integrate a large array of sensory inputs and coordinate multiple motor outputs to muscles throughout the body. Multiple, redundant local sensory signals are integrated to ...

Some of the most interesting and technologically important solid-solid transformations are the first-order diffusionless (martensitic) transformations that occur in certain ordered multi-atomic crystals. These include the reconstructive martensitic transformations, where no group-subgroup symmetry relationship exists between the phases, found in steel and ionic compounds such as CsCl. Additiona...

Since ancient times, when artists use clay, stone and brush strokes to capture a model or a scene, and even more recently when they use photography and video as their artistic tools, they focus on expressing details which go beyond the physical description of the subject. This includes, for example, the description of the scene ambiance, the nature of the characters and their relations, the mot...

Practical model transformation (MT) frameworks are usually composed of multiple execution contexts, building an overall workflow by abstracting different aspects of execution. This heterogeneity brings additional challenges to debugging, which must address a combination of quite different graphical and textual formalisms. In this work we describe a layered approach to debugging, mapping familia...

This is a survey of the main aims and results of the ESPRIT Basic Research Working Group COMPUTING BY GRAPH TRANSFORMATION II, 1992-1996, following up the rst phase of COMPUGRAPH, 1989-1992. The research goals and main results are presented within the following three research areas: Foundations, Concurrency, and Graph Transformations for Speciication and Programming.

These days randomized-based population optimization algorithms are in wide use in different branches of science such as bioinformatics, chemical physics andpower engineering. An important group of these algorithms is inspired by physical processes or entities’ behavior. A new approach of applying optimization-based social relationships among the members of a community is investigated in this pa...

‎This paper presents some results of an annihilated element in Banach algebra‎, ‎and in specific case‎, ‎for any square matrix‎. The developed method significantly improves the computational aspects of transformations calculus and especially for finding powers and roots of any annihilated element‎. ‎An example is given to compare the proposed method with some other methods to show the efficienc...