Orthogonal polynomials and their moments serve as pivotal elements across various fields. Discrete Krawtchouk polynomials (DKraPs) are considered a versatile family of orthogonal polynomials and are widely used in different fields such as probability theory, signal processing, digital communications, and image processing. Various recurrence algorithms have been proposed so far to address the challenge of numerical instability for large values of orders and signal sizes. The computation of DKraP coefficients was typically computed using sequential algorithms, which are computationally extensive for large order values and polynomial sizes. To this end, this paper introduces a computationally efficient solution that utilizes the parall

يعد مفهوم العولمة ظاهرة عالمية كونها نزعة طاغية في الوقت الحالي منسوبة الى العالم ، ولم تدخل بعد قوائم المفردات في القواميس السياسية والاقتصادية . (الأسدي ،2004-ص88).وأن العولمة  " Globlization أخذت مدلولان ، الاول يدل على الانفتاح وحرية التفكير ومتابعة الاكتشافات في مختلف المجالات والابتعاد عن الرتابة والروتين . اما الثاني فيدل على سطحية التفكير وحب التغيير لأجل التغيير ونبذ الماض

İlk çağlarda yaşayan insanların hayal dünyasını tanıtan masallar görünümünde olan destanlar‚ aslında‚ milleylerin tarih öncesi devirlerde başlayan kuruluşlarını‚ inanışlarını‚ erdemlerini‚ fikir ve sanatlarını anlatır.
Destanlar‚ kökü tarihe dayanan olayların, halk gözüyle görülen‚ halk ruhuyla duyulan masallaşmış görüntüleridir. Destanlarda milletlerin dinleri, türlü inanışları‚ Tanrı karşısındaki davranışları, yaşadıkları coğrafyanın özellikleri ile birleşmiş duyguları vardır.
Su köpüğünden yaratılmış‚ bir ağacın karnından doğmuş, ışık kümelerinin içinden çıkmış‚ fil kadar kuvvetli, güneş kadar güzel insanların maceralarını

This study was conducted to determine the effects of concentration of hydrochloric acids, temperature, and time on the hydrolysis of soya proteins (defatted soya flour) by determining the value of total protein nitrogen  concentration, and amino nitrogen concentration of protein, peptides, and amino acids, and then calculated the hydrolysis rate of proteins.

        The variables of the conditions of hydrolysis process was achieved in this study with the following range value of tests parameter:

• Concentration of HCl solution ranged between 1-7 N,
• Hydrolysis temperature ranged between 35-95 °C, and
• The time of hydroly

The city has normal natural state, and the man has a usual movement, change and search for the new .Also, the city has a usual change and transform in its time, place and quality (sizes)structures. The city has a solid memory diving into the past and the future and reflects The real present, and this memory has a timing layers change into real materialistic place making the city has accumulated overlapping circles which is hard to break u , and it broadcasts the lockup timing density ,in which there is no visual record precisely, it is just like((the social record)) that evaluates the un visual relationships between the components and parts of the city (community and form) in a visual quiet exhibition and transform change inside.

The researcher highlighted the general budget in Iraq for the period (2003-2018) facing the challenges of administrative and financial corruption, in addition to the fluctuations in oil prices, the repercussions and many problems suffered and will suffer the Iraqi government in the process of preparing the general budget of the state and weak contribution of the agricultural and industrial sectors and other economic sectors and neglect altogether, oil has become the main supplier in funding Iraq's budget after 2003, and the impact on the unemployment rates in Iraq, which recorded fluctuating rates and then increased during the period (2012-2018) to achieve this, an inductive method was adopted, using theoretical and descriptive a

In the current research, the work concentrated on studying the effect of curvature of solar parabolic trough solar collector on wind loading coefficients and dynamic response of solar collector. The response of collector to the aerodynamic loading was estimated numerically and experimentally. The curvature of most public parabolic trough solar collectors was investigated and compared. The dynamic response of solar collector due to wind loading was investigated by using numerical solution of fluid-structure interaction concept. The experimental work was done to verify the numerical results and shows good agreement with numerical results. The numerical results were obtained by using finite element software package (ANSYS 14). It was found

The Nano materials play a very important role in the heat transfer enhancement. An experimental investigation has been done to understand the behaviors of nano and micro materials on critical heat flux. Pool boiling experiments have used for several concentrations of nano and micro particles on a 0.4 mm diameter nickel chrome (Ni-Cr) wire heater which is heated electrically at atmospheric pressure. Zinc oxide(ZnO) and silica(SiO₂) were used as a nano and micro fluids with concentrations (0.01,0.05,0.1,0.3,0.5,1 g/L), a marked enhancement in CHF have been shown in the results for nano and micro fluids for different concentrations compared to distilled water. The deposition of the nano particles on the heater surface was the rea