The following project is in the field of combinatorics. It is a broad summary of the probabilistic method. Basic definitions and theorems, needed for the proper use of the probabilistic method, are introduced. Simple examples are provided in order to illustrate the theory in practice and to introduce the method itself. The project focuses on competitive problems from major national and international competitions, in whose solutions could be used probabilistic method, contributing to their briefness. One of our main aims is demonstrating the broad application of the probabilistic method not only in some theoretical fields of mathematics, but also in competitive problems. The problems in the abstract are with increased difficulty and we believe, they can serve as a preparation for mathematical olympiads and competititons.
This document aims to recognize the existence of some national health information systems, particularly in the emergency department. Also aims to understand all the functions as well all their interactions with other systems. We enumerate some of these information systems at national level, based our information in instruction manuals, scientific articles and websites of the respective entities. Analysing the whole national reality, we conclude that there are several information systems in the emergency department having as objetive the provision and improvement of health of the patient. This diversity of systems reflects in several problems, like the interoperability, that influences the delivery of care.