We report about two new rigorous results on the non-analytic properties of thermodynamic potentials at first order phase transition. The first one is valid for lattice models (d ≥ 2) with arbitrary finite state space, and finite-range interactions which have two ground states. Under the only assumption that the Peierls Condition is satisfied for the ground states and that the temperature is suf...

Background: Multiple Sclerosis (MS) is the most frequent non-traumatic neurological disease capable of causing disability in young adults. Detection of MS lesions with magnetic resonance imaging (MRI) is the most common technique. However, manual interpretation of vast amounts of data is often tedious and error-prone. Furthermore, changes in lesions are often subtle and extremely unrepresentati...

One of the main goals of model-driven engineering is the manipulation of models as exclusive software artifacts. Model execution is in particular a means to substitute models for code. We focus in this paper on verifying model executions. We use a contract-based approach to specify an execution semantics for a meta-model. We show that an execution semantics is a seamless extension of a rigorous...

AbszructIn the complex environment of JPL’s flight missions with increasing dependency on advanced software designs, traditional software validation methods of simulation and testing are being stretched to adequately cover the needs of software development. Our aim is to apply formal method techniques and tools to validate mission-specific components of flight software that are specified using ...

This chapter deals with a mathematical model which gives an optimal production schedule in demand declining market if production system is imperfect (i.e. at any random time during production period machine shifts from 'in – control' state in to 'out – of control' state). This is a study about economic production in an imperfect production system. The imperfect production system means, a system...

Abstract— Reduced software development cost and time can be achieved by reusing existing software. One of the most important activities during reuse is retrieval. In the early stages of software development, UML state machine diagrams are used to model the behavior of different system objects. This work describes the retrieval of software from a repository by comparing the state machine diagram...