In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is based on linearization method. The fundamental tools of the forward error analysis are system of linear absolute and relative a prior and a posteriori error equations and associated condition numbers constituting optimal of possible cumulative round – off errors. The condition numbers enable simple general, quantitative bounds definitions of numerical stability. The theoretical results have been applied a Gaussian elimination, and have proved to be very effective means of both a prior

Media theories and studies have provided many diligences on the concept of social media and the circle of influence, including the theory of social marketing which deals with how to promote ideas espoused by the elite in a society to become a recognized social value. The emergence of social networks provided a revolutionary breakthrough, taking the media to unprecedented horizons; and giving its users great opportunities to influence and move across borders without restrictions and censorship, except in a relatively limited manner.

So, the emergence of social media has created channels of live broadcasting from its audience in a method of development that changes the essence of the known communication theories; a

The research aims to demonstrate the impact of internal audit in Iraqi economic units on enhancing social performance reports, through the statistical models used, as a survey list (for the independent variant) of the search, which contains five axes of each axis, contains a set of The questions were prepared on the basis of the standards issued by the Institute of Internal Auditors (IIA) and were distributed to a sample of internal auditors, as for (for the approved variable) the researcher obtained numerical data represented by the financial statements of the research sample and used statistical models such as model (Kolmakrov-Smirnov) is a good match (goodness of fit) which assumes that the data is distributed naturally as wel

Writing as a female playwright in theatre gives a deeper depiction of woman’s real- self. Beth Henley has succeeded in providing a new realist vision of women’s abilities to face their inevitable tragic fates and how to conquer their despair. In Crimes of the Heart, the playwright uses certain method to present the development of the heroines’ characters through blending the tragic events with a comic frame. In fact, Henley focuses on the simple humorous activities more that the importance of the tragic event to present her vision of how to survive and face the crisis of life.

Crimes of the Heart is a play that is concerned about three sisters whose lives are headed in distinctly different directions; howe

There is no doubt that the oud is one of the most important folk musical instruments in Iraq. It has been known since the ages of ancient Iraq in its form, strings, and the way to play it through the clay number. On them, however, they have participated in showing the instrument the greatest potential and musical aesthetics, and the interested person may be wondering about ways to learn to play this instrument, so the training methods varied between personal interpretations on the one hand and systematic teaching in educational institutions on the other hand, especially that they have received the attention of educational institutions Miya, that which must adopt an appropriate and scientific strategy that accompanies global education pro

The operation of production planning is a difficult operation and it's required High effect and large time especially it is dynamic activity which it's basic variables change in continuous with the time, for this reason it needs using one of the operation research manner (Dynamic programming) which has a force in the decision making process in the planning and control on the production and its direct affect on the cost of production operation and control on the inventory.

The linguistic meaning of the verse in the Arabic dictionaries applies very much to the reality of rent and its effect. This is true of economic growth as a continuous increase in real per capita income in addition to the same thing. Therefore, development does not necessarily achieve a comprehensive and structural increase of the various economic sectors. As the rent came in the sense of a terrible land open Maim any fertilized. And the camel is a ma'aya and a ra'i: that is, it goes in the pasture and returns itself. This is similar to the extraction of oil after it is ready for investment and earn its revenue as soon as it exists or is extracted by external parties. If the rent is first linked to agriculture, especially the fertile lan