Convergence of Generalized Collatz Problem in k-Adic Field

In this article, we define a new series transformation called transformation and probe into its fixed point and periodicity. We extend the number field of the transform period problem to a wider field. Different constraints are imposed on then different periodic columns are formed after finite transformations. We obtain that their periodic sequences are and respectively after derivation. As an application, it can provide a reference for C problems in more complex algebraic systems.

Energy efficient scheduling mechanism using wireless sensor networks

Wireless sensor networks are an electro mechanical system which is used to transfer information to the base station from the beacon node. The objective of our project is to increase the lifetime of a beacon node, parallelly decreasing the energy using WSN by using appropriate scheduling mechanism. Each sensor performs different types of operation such as collecting the information from the sensors, processing it and communicating the source information when required, so energy consumption of these nodes is high. This can be reduced by using centralized approach and average consensus based Distributed algorithm. The lifetime of sensor is first increased by modifying M2CIC into multimodal set coverage problem and using this to produce NP-completeness. Another problem here is the network utility maximization problem which consists of Mixed Integer programming. This is solved by splitting the multi period problem into a single period problem. It is future reduced to Pure Integer programming. This Pure Integer programming can be solved by a centralized way.

Railways Galicia Austro-Hungarian period: historiography of the problem

The article presents historiography of «Roads Galicia in Austro-Hungarian period» problem. The study of marked problem required searching and studying a substantial part of sources, which are stored in the archives and libraries of Chernivtsi, Lviv, Moscow and St. Petersburg. Of course, main part of factual material is drawn from archives of Chernivtsi regional state archive, book and newspaper Funds of the Scientific library of Chernivtsi University and the Lviv State Regional Archive.