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 priori and a posteriori error analysis.
The necessary optimality conditions with Lagrange multipliers are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free. The formula for the integral by parts has been proven for the left Caputo–Katugampola fractional derivative that contributes to the finding and deriving the necessary optimality conditions. Also, three special cases are obtained, including the study of the necessary optimality conditions when both the final time and the final state are fixed. According to convexity assumptions prove that necessary optimality conditions are sufficient optimality conditions.
... Show MoreThis study aimed to explain the criteria of managers at different levels of nursing in selecting effective nursing diagnosis.
In conventional content analysis, 10 nursing managers at different levels including head nurse, supervisor, and nursing manager were interviewed. Data was collected with semi-structured interviews and a narrative approach. Data analysis was performed using the Zhang–Wildemuth method simultaneously with sampling.
Social risks posed a great challenge to the development path in Iraq, which resulted in widening the development gaps, whether these gaps were between rural and embargoed areas, or between Iraqi governorates, and the gender gap. Besides, the nature of the reciprocal relationship between the social risks and the development process requires the adoption of development trends that are sensitive to the risks that take upon themselves the prompt and correct response to these risks, away from randomness and confusion that Iraq suffered from for decades. However, currently, the situation has differed a great deal. This is because the size and types of such gaps have widened and become more complicated than before; a matter which has led to hav
... Show MoreThis paper deals with the ideological positioning of the English poet John Donne in a selected poems of his i.e Holy Sonnet X, as regards the theme of death found therein. The researchers adopt an emerging branch of stylistics, called Critical Stylistics, as proposed by Jeffries (2010) in order to uncover the ideologies of the author regarding the topic concerned and how linguistic choices are used to slant ideas. The model is comprised of ten tools of analysis which, upon being applied to the selected data, have shown how the poet exploits language resources in order to pass his ideology and influence his readers. In this paper, the workings of only one tool are presented as applied to a certain portion of the data.
The American playwright Stephen Karam explores the human psyche and relationships in The Humans (2016) by employing the spatial operations of the props on the stage. The play presents the gathering of the Blake family in their daughter and her boyfriend's new apartment on a Thanksgiving dinner. The article examines how the description of the details of the place reflects the characters' fear, pain, trauma, relationships and secrets. It aims to show how the characters' psychologies are depicted through the physical setting of the dark apartment and its menacing atmosphere. The study follows the theory of place in approaching the text. It tries to analyze the relationship between the place and the characters and how it develops a type
... Show Moreلطالما كان انتظار الملأ للخلاص والتي ترتبط بشكل اساسي بال "منتظر" او ال "مخلص" جزءا من الوعي الجمعي الذي تطور ليكون مرتبطا بالنمط البدائي والذي بدوره أصبح مرآةً تنعكس على اساسها فرص الانسان نحو النجاة. في مسرح القرن العشرين, لم تنفك فكرة الانتظار ان ترتبط بمسرحية صاموئيل بيكيت العبثية " في انتظار غودو" كونها مثالا رمزيا بالرغم من انه تجسيد شخصية "غودو" وقعت تحت وطأة الكثير من عمليات التحوير والتغيير في اطاره
... Show MoreAbstract The strategic performance of the United States depends on dealing with the Middle East countries and its variants on several bases and motives that enabled them to achieve American hegemony and invest its interests at the expense of the region countries. Within this performance, the administration of the United State President Donald Trump presented the Strategic Document on December 18, 2017, which focused on the principle of "America First", to determine the direction of future US strategic performance in the formulation of means of cooperation and intersections or hostility in addition to interests and threats.The future vision of the Arab region and the Middle East as a whole, this strategy is based on the fact that
... Show MoreThe development of the television industry has led to the emergence of a new type of entertainment program in which producers have abandoned stereotypes in traditional programs, known as (Reality TV show). This type of program has spread rapidly in America, (where there are more than 40 series of these programs), as well as Europe and more than twenty countries around the world, including the Arab countries, where the number of these programs today to about 1000 programs and the number is increasing , Especially with the readiness of the production networks to produce more of these programs for the huge profits they derive from them (because of the high viewing rates and the large number of ads broadcast through them) in return for low prod
... Show MoreBackground: Bimaxillary protrusion is considered as one of the most important causes to seek the orthodontic treatment to get better esthetics. This study aimed to test the effect of orthodontic treatment in improvement the facial esthetics. Materials and Methods: Ten Iraqi Arab females having bimaxillary protrusion based on Class I malocclusions treated with fixed orthodontic appliance and extraction of the maxillary and mandibular 1st permanent premolars. Pre and post-treatment facial profile photographs were taken for each patients and the effect of treatment was tested in comparison with the pre-treatment photographs by using seven angular measurements. Results: After treatment, the upper and lower lip projections were decreased signifi
... Show More