Modular Arithmetic Essays - Algebra, Computer Arithmetic

Modular Arithmetic Modular arithmetic can be used to compute exactly, at low cost, a set of simple computations. These include most geometric predicates, that need to be checked exactly, and especially, the sign of determinants and more general polynomial expressions. Modular arithmetic resides on the Chinese Remainder Theorem, which states that, when computing an integer expression, you only have to compute it modulo several relatively prime integers called the modulis. The true integer value can then be deduced, but also only its sign, in a simple and efficient maner. The main drawback with modular arithmetic is its static nature, because we need to have a bound on the result to be sure that we preserve ourselves from overflows (that can't be detected easily while computing). The smaller this known bound is, the less computations we have to do. We have developped a set of efficient tools to deal with these problems, and we propose a filtered approach, that is, an approximate computation using floating point arithmetic, followed, in the bad case, by a modular computation of the expression of which we know a bound, thanks to the floating point computation we have just done. Theoretical work has been done in common with , , Victor Pan and. See the bibliography for details. At the moment, only the tools to compute without filters are available. The aim is now to build a compiler, that produces exact geometric predicates with the following scheme: filter + modular computation. This approach is not compulsory optimal in all cases, but it has the advantage of simpleness in most geometric tests, because it's general enough. Concerning the implementation, the Modular Package contains routines to compute sign of determinants and polynomial expressions, using modular arithmetic. It is already usable, to compute signs of determinants, in any dimension, with integer entries of less than 53 bits. In the near future, we plan to add a floating point filter before the modular computation.

A.D.H.

A.D.H. A.D.H.D.Attention deficit hyperactive disorder also known as A.D.H.D. is thought to be a disease. There are no clinical tests such as imaging or lab work to diagnose this condition. If a child is very active, not able to sit still or listen and follow directions, or maybe daydreams this is a potential for A.D.H.D. There is a lot of controversy surrounding this issue. One is the labeling of a child for life, the other is the mind altering drugs a child has to be put on.A.D.H.D. is said to be a psychological disease, however, there are reputable physicians who worry these behavior tendencies will increase the improper diagnosis of other wise normal behaviors in children. When the doctor is going to make a diagnosis on a child, he/she is looking for misbehavior such as inatentiveness, distractibility, impulsiveness, hyperactivity, aggressiveness, or inability to persist on a task. The doctor then needs to monitor the child both at home and at school for 6 months or more if preferred, ho wever, any doctor can make the diagnosis with only one visit, and begin a child on Ritilin or another psycostimulant drug.English: Percent of Youth 4-17 ever diagnosed with...As adults we can probably all remember the character Dennis the Menace, or more recently the child in the Home Alone movie. Under our current standards for diagnosis, would they also be candidates for Ritilin.Careful consideration should be taken before diagnosing a child with A.D.H.D. The doctor should look at the child's homelife to see if the child is in an abusive home of an alcohol or drug addicted parent or if the parents are divorced.There was a parent in one of my Head Start classrooms who had 2 children in our program. One of her children was diagnosed with A.D.H.D.and on Ritilin. The mother requested that...

Information Systems and Technologies Essay Example | Topics and Well Written Essays - 2000 words

Information Systems and Technologies - Essay Example Information systems are usually confused by management information systems. However, MIS strictly refers to the management of information systems whereas information systems include systems that include decision making as well. In today's every growing fast paced world, information is termed valuable more then any other tangible asset. The reason is that information systems have slowly and gradually taken over the decision making responsibilities from human beings. In this 'Information Age', these systems have become the basis of conducting efficient business. In today's world, the environment changes every other day. With the changes taking place everyday, it is a requirement for the companies to continuously collect and manage information so that they may be better informed then their competitors. This will lead to the development of a viable advantage that will help organizations in better decision making. Gaining competitive advantage over competitors and rival companies is one of the major strategies that can help companies excel in the long run. The question arises that if the application of IT really provides a competitive edge to organizations. Answers to this question have been discussed and explored over many decades and it will be explored for the many years to come due to the ever-changing and evolving economic conditions of the world and transformation of industries. Due to these explorations, we have found out that usage of information technology effectively in organizations can create legendary results. Examples include the American Airlines Sabre System for traveling reservations, the FedEx's suite of tracking shipments and packages and Amazon.com's approach to internet based retailing. All the above mentioned examples have put forward the idea that information technology can help serve as a competitive advantage if it is used to leverage operational and organizational activities and support the collection of critical data at the right time. COMPETITIVE ADVANTAGE IN HEALTHCARE ORGANIZATIONS Information Technology soft wares and systems are tremendously used in today's health care organizations to manage the extensive amount of data and analyzing it critically to help benefit the patients, staff, doctors and the overall organization. The basic idea is not applying the system; however, competitive advantage is gained depending on three factors. These factors are how the system is implemented, whether the implementation done was cheaper or not then the competitors and the strengths of the organization's technical and IT staff. Effective implementation of IT in an organization can make the programs used in the organization faster, less prone to error and convenient. For example, accounts receivable applications have made the collection A/R processes faster, economical and less expensive. To improve organizational performance the right kind of information system must be implemented. The leverage of the processes is the most effective when the process on which the technology is applied are core processes that customers usually use to gauge the performance of an organization. For