A Generalization of the Hopf-Cole Transformation

A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimensional diffusion equation with quadratic nonlinearity and of the Burgers equation are analyzed

Related creditors in the process of restructuring

Corporate restructuring is becoming a common phenomenon in Lithuania. There are more and more companies who are experiencing financial difficulties, however Lithuanian law doctrine is silent in most of the cases regarding restructuring problems. Author analyses corporate restructuring procedure with special emphasis on legal relationships between the distressed company that is being restructured and its creditors also among creditors themselves. According to the laws of Lithuania and Lithuanian case law the procedure of restructuring is aimed not only at the preservation of particular company but also at satisfying interests of the company’s creditors. Due to these reasons there are many real life situations where an entity undergoing restructuring process is directly or indirectly related to its creditors. If related creditors hold majority of the claims against the company that is being restructured they also have majority votes during the meetings of the creditors. Therefore, related creditors have a dominant influence over the restructuring procedure and such restructuring procedure is being controlled by them. A problem, whether a controlled restructuring procedure negatively affects the rights of other creditors who are not related to the distressed company and whether it allows abusive behavior of related creditors arises. To solve this problem author analyses various conflicting situations between the company that is being restructured and its creditors, discusses the cases where related creditors are abusing their rights, describes different types of corporate creditors. The article also analyses and discusses provisions of the Restructuring Law of the Republic of Lithuania and decisions of the Lithuanian courts regarding the rights and duties of the creditors in the restructuring process. Taking into account all the arising legal issues and possible legal inefficiencies the article concludes that during the restructuring the rights of related creditors should be subject to special treatment if the interests of all the creditors of the company undergoing restructuring procedure are to be protected equally

On the error term of the logarithm of the lcm of quadratic sequences

We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2 + 1, . . . , n2 + 1. Using a result of Homma [4] on the distribution of roots of quadratic polynomials modulo primes we calculate the error term for the asymptotics obtained by CillerueloPostprint (updated version

Devito: Towards a generic Finite Difference DSL using Symbolic Python

Domain specific languages (DSL) have been used in a variety of fields to express complex scientific problems in a concise manner and provide automated performance optimization for a range of computational architectures. As such DSLs provide a powerful mechanism to speed up scientific Python computation that goes beyond traditional vectorization and pre-compilation approaches, while allowing domain scientists to build applications within the comforts of the Python software ecosystem. In this paper we present Devito, a new finite difference DSL that provides optimized stencil computation from high-level problem specifications based on symbolic Python expressions. We demonstrate Devito's symbolic API and performance advantages over traditional Python acceleration methods before highlighting its use in the scientific context of seismic inversion problems.Comment: pyHPC 2016 conference submissio

Healthcare Cost Savings Through Telemedicine Use At Correctional State Facilities

Telemedicine offers both soft and hard return on investment, including cost savings avoidance and convenience of access to care. Incarcerated individuals represent a patient population that uniquely benefit from receiving care via telemedicine. They lack access to subspecialty care as prison facilities are located outside of urban areas, which is compounded by security risks, risk to individuals around inmates, and transportation cost to tertiary care facilities. To attend a brief in-office medical visit, an inmate requires hours of administrative support and logistical coordination, including appointment scheduling, transport arrangement and related fuel expense, and guard accompaniment - all at a financial cost to taxpayers. Telemedicine stands as a proven solution to decrease these costs and improve access to the care of inmates. The Virginia Commonwealth University (VCU) Office of Telemedicine has provided telemedicine visits to more than 45,000 patients over 22 years and encompasses over 15 subspecialties, which have facilitated care to incarcerated patients at 30 Department of Corrections (DOC) sites in Virginia. Cost savings analysis was performed by the VCU Office of Telemedicine for the 2016 fiscal year. The amount saved per telemedicine visit was estimated by calculating officer costs and transportation costs associated with transporting an inmate to an on-site visit. It was found that each telemedicine visit represents a cost avoidance of $800 per visit. There were 2,850 Virginia DOC telemedicine visits in the fiscal year 2016, resulting in over 2 million dollars in estimated cost savings.https://scholarscompass.vcu.edu/gradposters/1034/thumbnail.jp

Key Agreement Protocol Using Elliptic Curve Matrix Power Function

* Work is partially supported by the Lithuanian State Science and Studies Foundation.The key agreement protocol (KAP) using elliptic curve matrix power function is presented. This function pretends be a one-way function since its inversion is related with bilinear equation solution over elliptic curve group. The matrix of elliptic curve points is multiplied from left and right by two matrices with entries in Zn. Some preliminary security considerations are presented

Clafer: Lightweight Modeling of Structure, Behaviour, and Variability

Embedded software is growing fast in size and complexity, leading to intimate mixture of complex architectures and complex control. Consequently, software specification requires modeling both structures and behaviour of systems. Unfortunately, existing languages do not integrate these aspects well, usually prioritizing one of them. It is common to develop a separate language for each of these facets. In this paper, we contribute Clafer: a small language that attempts to tackle this challenge. It combines rich structural modeling with state of the art behavioural formalisms. We are not aware of any other modeling language that seamlessly combines these facets common to system and software modeling. We show how Clafer, in a single unified syntax and semantics, allows capturing feature models (variability), component models, discrete control models (automata) and variability encompassing all these aspects. The language is built on top of first order logic with quantifiers over basic entities (for modeling structures) combined with linear temporal logic (for modeling behaviour). On top of this semantic foundation we build a simple but expressive syntax, enriched with carefully selected syntactic expansions that cover hierarchical modeling, associations, automata, scenarios, and Dwyer's property patterns. We evaluate Clafer using a power window case study, and comparing it against other notations that substantially overlap with its scope (SysML, AADL, Temporal OCL and Live Sequence Charts), discussing benefits and perils of using a single notation for the purpose

Interesu konfliktas : savoka ir galimi sprendimo budai

Conflicts of interests arise due to the fact that a person’s right to demand to act in his interests imposes a duty on another person to act in such a way. Different concepts of conflict of interests used in various sectors and their problems are analyzed in the article. Whereas there is no unified concept of conflict of interests used in practice it is unclear which types of relations are regarded as conflict of interests, when conflict of interests arises and what are the solutions to it. Due to these reasons universal concept of conflict of interests is constructed and elements of conflict of interests are analyzed in this article. The concept of conflict of interests is discussed in the context of agency theory in the broad sense, i. e. in the legal and economic sense. Theoretical model and types of conflicts of interests are particularly important while trying to solve conflicts of interests. There are two main categories of solutions: preventive and managing measures. Preventive measures are intended to avoid conflict of interests before it arises and managing measures are intended to manage already risen conflict of interests and to prevent negative consequences. The article concludes with the concept of conflict of interests, its types and solutions