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

 Receipt date:11/19/2020 acceptance date:10/1/2021 Publishing date:12/31/2021

   This work is licensed under a Creative Commons Attribution 4.0 International License.

Human rights are one of the basic concepts of modern and contemporary times, and political thought as the origin of political science and its source of knowledge have impact  in this science and its branches

In this research, we present a nonparametric approach for the estimation of a copula density using different kernel density methods. Different functions were used: Gaussian, Gumbel, Clayton, and Frank copula, and through various simulation experiments we generated the standard bivariate normal distribution at samples sizes (50, 100, 250 and 500), in both high and low dependency. Different kernel methods were used to estimate the probability density function of the copula with marginal of this bivariate distribution: Mirror – Reflection (MR), Beta Kernel (BK) and transformation kernel (KD) method, then a comparison was carried out between the three methods with all the experiments using the integrated mean squared error. Furthermore, some

Background: Osteoporosis is a systemic skeletal disorder that has an impact on general health, dental health and salivary composition. The mineralization of teeth happens simultaneously with that of the skeleton, but if mineral metabolism is disrupted, tooth failures will resemble those that affect bone tissue. Vitamin D plays a key role in bone and tooth mineralization.

Objective: to evaluate the impact of osteoporosis on teeth decay in relation to salivary vitamin D among menopause in Baghdad city.

Subjects and Methods: This study was cross sectional study. The study group consists of

The purpose of this study is to examine the effect of human resource diversity management practices on achieving entrepreneurship in Jordanian public universities. To achieve the aims of the study, a well-designed questionnaire was used for collecting data. The population of the study was (7433) faculty members (including different ranks such as professors, associate professors, assistant professors and lecturers) in Jordanian public universities. The study sample was selected through the use of a random sample, the questionnaire is distributed to a sample (of 400 with the percentage of 5%) selected by using a random sampling (350) copies of the questionnaire were collected, reaching about (87.5%) out of the sum total of the dist

Modern critical theories revealed polemical views about the reality of the existence of communication - as a necessity for building a deliberative discourse - in the theater or not. To the theory of communication with all the conditions it imposes on thinking, interaction, and emancipation of selves in different contexts.
Therefore, the current research included four chapters, the first chapter dealt with the research problem, which was represented in (the philosophy of sensory and physical communication in theatrical performance), and the first chapter included the importance of the research, its goal and its limits, and ended with defining the terminology, and the second chapter included (theoretical framework) the first topic (ph

This study is at the heart of the pragmatic theory, as this research seeks to highlight the concept of necessity, and what the researchers have tended to do is that the development that has acquired integrated pragmatics is only for the development of the subject of necessity, as it is one of the contents of the saying, and this is what made Decroux define it as the semantic element that Concerning the saying, as for Grace; He paid great attention to the conversational imperative, and understood the requirement by clues or suggestions, as it is an element known for its absence and presence in the linguistic structures included in the text when reading or when understanding. This study has paved the way for clarifying the concept of necessi

This research deals with the perceived and the imagined in the texts of Yusef Al-Sayegh, considering language as the most important source in literature and theatrical criticism, and given the importance of the subject, the researcher monitored many philosophical and psychological opinions and theories related to (the perceived and the imagined), and they were discussed and their compatibility with the Iraqi theatrical t As for the second chapter, where (the theoretical framework), it included two topics, and the first topic was about the concept of the perceived and the imagined, and the second topic was about Youssef Al-Sayegh and the structure of the theatrical text.
In the third chapter, where (research procedures), the research

            Requires economic work finding built institutional paint strategies and policies are formulated general economic and clarity in its stated objectives and the involvement of all economic institutions, political and stakeholders to discuss all the issues of economic, financial, monetary and analyzed for the purpose of renewal energies and determine the duties and responsibilities, leaving full freedom to the private sector in the formation of institutions to carry out his duties economic, and that the institutional structures to create the right climate for the implementation of its economic policies, which would facilitate the task of the private sector, and this h