A mathematical model is developed which predicates the performance of cylindrical ion exchange bed involving comparing of axial dispersion model for cation exchange column with different assumption, this model permits the performance to predicate the residence time within the bed with the variance, axial dispersion and Pecklet No. to indicated deviation from plug flow model.

      Two type of systems are chosen for positive ions first with divalent ions (Ca⁺²) to exchange with resin of Na⁺¹form used as application in  water softener units and second with monovalent ions (Na⁺¹) to exchange with resin of H⁺¹ form used as application in deionize water units &n

    This research has tackled a scientific figure belongs to Koofi grammatical school. He is Abdullah Al-Tuaal who has occupied the fourth layer among the Koofi grammarians. There was a confusion between him and another Koofi grammarian from the same layer (Mohammed Bin Qaadim) in some old references. This research has clarified this confusion to affirm that they are two different grammarians.This research also tackles the scientific status of Al-Tuaal and the grammatical views that have been ascribed to him in addition to the analysis and discussion of these views. All this in the light of what has been mentioned in grammar books about the issues in which these views were stated.

Praise be to God, who started his book with the praise of himself and prayers and peace be upon those who have no prophet after him and his family and companions and those who followed them with charity until the Day of Judgment.
     For it is known to every researcher in jurisprudence and its origins that the semantics in terms of formulas for assignment are divided into an order and a prohibition, and I have seen it necessary to write a small research on the prohibition, and since this topic is complex, and has a great impact on the difference of scholars, I decided to write on one issue of it And it is the absolute prohibition and its effect on the difference of jurists, and what is meant by the absolute p

 تتركز مشكلة البحث في ضعف كثير من المربين معلمين كانوا أو مدرسين في التعامل مع أخطاء المتعلمين في ضوء السنة النبوية مما يؤدي إلى تعلم غير منتظم، ومن أهم أسباب هذه المشكلة قلة الإطلاع على الأساليب العملية التي ينبغي أن يتعامل بها المربي مع أخطاء المتعلمين، ولا سيما الأساليب المستمدة من القرآن الكريم والسنة النبوية، وهذا ما لمسه الباحث واقعاً من خلال ممارسته لعملتي التعليم والتدريس لمدة خمس عشرة سنة، ومن خ

Water scarcity is one of the most important problems facing humanity in various fields such as economics, industry, agriculture, and tourism. This may push people to use low-quality water like industrial-wastewater. The application of some chemical compounds to get rid of heavy metals such as cadmium is an environmentally harmful approach. It is well-known that heavy metals as cadmium may induce harmful problems when present in water and invade to soil, plants and food chain of a human being. In this case, man will be forced to use the low quality water in irrigation. Application of natural materials instead of chemicals to remove cadmium from polluted water is an environmental friendly approach. Attention was drawn in this research wor

This paper deals with defining Burr-XII, and how to obtain its p.d.f., and CDF, since this distribution is one of failure distribution which is compound distribution from two failure models which are Gamma model and weibull model. Some equipment may have many important parts and the probability distributions representing which may be of different types, so found that Burr by its different compound formulas is the best model to be studied, and estimated its parameter to compute the mean time to failure rate. Here Burr-XII rather than other models is consider  because it is used to model a wide variety of phenomena including crop prices, household income, option market price distributions, risk and travel time. It has two shape-parame

The objective of the study is developing a procedure for production and characterization of rice husk ash (RHA). The effects of rice husk (RH) amount, burning/cooling conditions combined with stirring on producing of RHA with amorphous silica, highest SiO₂, lowest loss on ignition (LOI), uniform particle shape distribution and nano structured size have been studied. It is concluded that the best amount is 20 g RH in 125 ml evaporating dish Porcelain with burning for 2 h at temperature 700 °C combined with cooling three times during burning to produce RHA with amorphous silica, SiO₂ 90.78% and LOI 1.73%. On the other hand, cooling and stirring times affect the variation of nano structured size and particle shape dis

ت لا نم ظ او ره لا يأ لاح اهلاح رضاحلا رصعلا يف ةريطخ ه ةوشرلا لثم ةيداصتقا ةميرج ديعصلا ىلع ةيبلس بقاوع اهل يتلاو زازتبلااو لاوملأا لسغو ني ىلا ةجاحلا تءاج انه نم ، يداصتقلااو يعامتجلاا تاسسؤم لبق نم اهينبت يغبني يرادلإاو يلاملا داسفلا نم دحت تامدخو بيلاسأو تاينقت ةيلاملا مئارجلا نم دحلل ةلودلا اع ىلع عقت يتلا تاسسؤملا نمو ةيئاصقتسلاا ةبساحملا وا ةيئاضقلا ةبساحملاب تلثمت ةيداصتقلاا تادحولا يف ينبت اهقت ة

      Faintly continuous (FC) functions, entitled faintly S-continuous and faintly δS-continuous functions have been introduced and investigated via a -open and -open sets. Several characterizations and properties of faintly S-continuous and faintly -Continuous functions were obtained. In addition, relationships between faintly s- Continuous and faintly S-continuous function and other forms of FC function were investigated. Also, it is shown that every faintly  S-continuous is weakly S-continuous. The Convers is shown to be satisfied only if the co-domain of the function is almost regular.

In the current digitalized world, cloud computing becomes a feasible solution for the virtualization of cloud computing resources.  Though cloud computing has many advantages to outsourcing an organization’s information, but the strong security is the main aspect of cloud computing. Identity authentication theft becomes a vital part of the protection of cloud computing data. In this process, the intruders violate the security protocols and perform attacks on the organizations or user’s data. The situation of cloud data disclosure leads to the cloud user feeling insecure while using the cloud platform. The different traditional cryptographic techniques are not able to stop such kinds of attacks. BB84 protocol is the first quantum cry