In this communication, introduce the split Mersenne and Mersenne-Lucas hybrid quaternions, also obtaining generating functions and Binet formulas for these hybrid quaternions and investigating some properties among them.

     ترجمۀ شعر به آهنگ موسیقی از شاهکارهای فکری که تولیدی علمی ترجمی می آراید به شمار میرود ، چیزی مورد نا راحتی  ونومیدی نسبت به مترجم وجود ندارد ، اگر وی در این راه با تلاش کردنی سیر می رود تا ثمره های آن ترجمه می چیند .

روش پژوهشگر در آنچه از ترجمۀ ابیات شعر فارسی بر آمد ، روشی نوینی می داند  که آن بر هماهنگی آواز الفاظ با یکدیگر اتکای می کند  تا ترجمه دارای آوازی وهماهنگی ، به مرتبه ای موسیق

Research on sustainable design in Iraqi craft industries and ways to develop them is essential to preserving the cultural heritage and authenticity of these industries while promoting environmentally sustainable practices. Lack of access to modern technologies, knowledge and resources may hinder the growth of these industries and their ability to compete in the global market. The research problem revolves around finding ways to develop sustainable design in the Iraqi craft industries. The expected outcomes of this research include a clear definition of sustainable design, understanding the history of sustainable design in the craft industry, identifying different types of craft industries in Iraq, exploring the basic concepts of sustaina

  There are many researches deals with constructing an efficient solutions for real problem having Multi - objective confronted with each others. In this paper we construct a decision for Multi – objectives based on building a mathematical model formulating a unique objective function by combining the confronted objectives functions. Also we are presented some theories concerning this problem. Areal application problem has been presented to show the efficiency of the performance of our model and the method. Finally we obtained some results by randomly generating some problems.

The formula is effective in Surat Nisa
(A study of gramophone)

in the name of o Allah the Merciful
Praise be to Allah, Lord of the Worlds, and prayers and peace be upon the Seal of the Prophets and Messengers. The envoy is a mercy to the worlds Muhammad Sadiq Al - Amin and to the pure and good companions of the Tayyibites.
The formula of the morphological formulas, which have diverged from other meanings, whether lexicon or contextual and what this formula contains many meanings (effective source) and (effective in the sense of effective) and (effective sense reactor) and (effective sense) and ( (F) in the sense of a similar character) and ((the name of the) (collect). This was dealt with in the formula in Surat al-Nisaa

The implementation of decentralization in Iraq was asymmetrical, leading to different forms and paces of implementation. Comparing four cases of Basra, Kirkuk, Nineveh, and Sulaymaniyah indicate that these cases differ in their political stability and autonomy in a way that led to a different forms of decentralization. This paper argues that the higher the level of political autonomy from the federal government, the more efficient the governance model, and the more efficient the governance model, the more legitimate the system (trust), and the more legitimate a system, the more accountable elected officials. Therefore, it recommends reforming the institutional setup of decentralization by having districts, instead of provinces, as the bu

The process of employing modern technology in a consistent manner is what the researcher is interested in, and the psychological role of the sound effect in enhancing psychopathic representations in cinematic characters, which had a wide resonance in the field of cinematic films, and after the predominance of digital technology in the production of contemporary films, the sound effect has a higher efficiency And a good level of advanced aesthetic and dramatic expression in film employment, so many directors resorted to this type of films by using various new and advanced techniques and technological programs in their industry, since the traditional construction does not achieve the dazzling that the viewer desires.

Accordingly, th

In the name of God, the Most Gracious, the Most Merciful

Praise be to God who revived Balu. And the good word brought hard hearts after removing from them what had almost killed them of ignorance, injustice, hatred, hostility, estrangement, and irritation... So God replaced for them what was best with what was best in terms of knowledge and fairness, and what was corrupt, love, and altruism. So the example of a believer and a good word is like a tree with good roots and branches. Then I pray and greet the one who watered it from the pure and inexhaustible spring of Islam, our Master Muhammad, so that the valleys flowed in their capacity, and the crops grew, then they became thicker and became even, and their good fruits in behavi

The specialist researcher  fined the relations between economic ideas with economic facts in his theory which called humanity building it is appeared clearly ( in Ibn Khalduons’ Muqaddimah) in a clothe of economic  social  phenomenon's as a systematical analysis in all fifty chapters of al Muqaddimah ,therefore this paper deal with  Ibn Khalduon economic thoughts as important says which describe the society building in its economic subjective  and  examine the relationship between The dissert and the city within economic says which are cover  the social analysis ,and determinate   the analysis objects  which clearly in this dualism  model ,between the state and economic bas

الرأي العام والمشاركة السياسية ودورهما في تعزيز الديمقراطية