This article introduces the concept of finitely null-additive set function relative to the σ– ring and many properties of this concept have been discussed. Furthermore, to introduce and study the notion of finitely weakly null-additive set function relative to the σ– ring as a generalization of some concepts such as measure, countably additive, finitely additive, countably null-additive, countably weakly null-additive and finitely null-additive. As the first result, it has been proved that every finitely null-additive is a finitely weakly null-additive. Finally, the paper introduces a study of the concept of outer measure as a stronger form of finitely weakly null-additive.
Learning the vocabulary of a language has great impact on acquiring that language. Many scholars in the field of language learning emphasize the importance of vocabulary as part of the learner's communicative competence, considering it the heart of language. One of the best methods of learning vocabulary is to focus on those words of high frequency. The present article is a corpus based approach to the study of vocabulary whereby the research data are analyzed quantitatively using the software program "AntWordprofiler". This program analyses new input research data in terms of already stored reliable corpora. The aim of this article is to find out whether the vocabularies used in the English textbook for Intermediate Schools in Iraq are con
... Show MoreMonitoring the river’s water quality is important to predict the environmental risk. The Tigris River is Baghdad’s main source for living organisms, drinking water, and agro-industrial purposes. Three selected sites were carried out using different water quality parameters from July 2017 to April 2018 in the Tigris River in Baghdad. Fourteen water quality parameters: water temperatures, turbidity, electrical conductivity, pH, calcium, magnesium, chloride, sulfate, phosphate, dissolved oxygen (DO), alkalinity, total hardness, total dissolved substances TDS, and biological oxygen demand (BOD5). According to CCME WQI analysis, the water quality of Tigris River water was Fair for aqua
This paper is devoted to an inverse problem of determining discontinuous space-wise dependent heat source in a linear parabolic equation from the measurements at the final moment. In the existing literature, a considerably accurate solution to the inverse problems with an unknown space-wise dependent heat source is impossible without introducing any type of regularization method but here we have to determine the unknown discontinuous space-wise dependent heat source accurately using the Haar wavelet collocation method (HWCM) without applying the regularization technique. This HWCM is based on finite-difference and Haar wavelets approximation to the inverse problem. In contrast to othe
Criteria to be met in selecting the obtimal areas for generating alternative electric energy from wind
Shapes have differed in terms of their temporality, tools, technical variations, aesthetic functions and dimensions. The beginnings started with manual primitive techniques that have played an a significant artistic role in the ancient civilizations, then developed with the technological development and the digital technologies that encompassed various programs and specialist means in the graphic design, so that its visual outputs in the textbook that is considered a communication means that has an effect and attracts the recipient. That is what made the researcher search and investigate this topic describing the research problem as follows: What are the shapes as alternatives to the words in the design of the textbook? The research obje
... Show MoreTwo decades after replacing the OAU, the AU’s record is best measured not by communiqués but by how fast it converts rules into results on the ground. In March 2022, the African Union’s Peace and Security Council (PSC) authorised the transition from AMISOM to ATMIS in Somalia — a reminder that, two decades after the African Union (AU) replaced the Organisation of African Unity (OAU), the Union’s rules are judged by execution, not intent. This article argues that the AU’s legal and institutional redesign shortened the warning‑to‑decision cycle and raised the credibility of enforcement, but performance still hinges on finance, logistics and political will. Where mandates are matched with money, enabling capabilities and enforc
... Show MoreABSTRACT
The controversy is currently revolving around industrial additives, including antioxidants, their negative effects on consumer health and the emergence of various and various diseases, which led scientists and researchers to intensify most studies on natural antioxidants and their synthesis from medicinal plants mentioned in ancient medicine and in divine books as potential antioxidants of increasing importance. Therefore, this study was designed to synthesize silver nitrate particles from plant leaf extracts (Figs, Olives, and Moringa) and study their effect on bacterial inhibition of each of the undesirable Coliform bacteria (E-Coli,
... Show MoreOccupies an important geographical position, and instructional material is distinctive among the various course materials, as covered in the study of human and surrounding environment, and interaction happening between them, and the problems that arose as a result and a lot of reliable in achieving educational purposes. Through the monotony and tradition in the methods used in our schools in the teaching of geography, which prevails in teaching nature conservation and indoctrination with poor educational qualification as a teacher geography, and the fact that this article need to be effective methods for teaching, such as the use of teaching models modern-dependent student at the center of the process education, and this is confirmed by
... Show Moreيهدف البحث عن الاساليب والعوامل التي ترفع من قدرات اللاعبين البدنية و المهارية للتواصل مع التطور المطلوب حيث وجد ان هناك حاجة ملحة لتطوير الهجوم السريع الفردي وذلك لضعف و تذبذب الاداء الفني بكرة اليد تحتاج في المباراة الخاصة السرعة الانتقالية التي ترتكز عليها صفة السرعة دون الهبوط بالمستوى المطلوب لتحقيق ثمرة جهد هذا الاداء بأداء تصويبه في مرمى الفريق الخصم لمحصلة هذا الاداء المميز يتطلب ان يكون كل لاعب من
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