The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

This age and the third millennium is the dominance of information technology on most of the administrative work in the developed world and the need for the so-called electronic marketing- and need our developing society to the development of our work to transform the traditional management and routine of it to the electronic management in order to save effort, time and cost They are the backbone speed to complete the work, The principle applications of electronic management to achieve the maximum possible benefit from the implementation of the administrative work of the society and institutions and the private sector the government in the state. The use of electronic management makes us safe from

Background: Lymphomas are a group of diseases caused by malignant lymphocytes that accumulate in lymph nodes and cause the characteristic clinical features of lymphadenopathy. Intercellular adhesion molecule-1 (ICAM-1) (CD54) is a transmembrane glycoprotein belonging to the immunoglobulin superfamily of adhesion molecules. Cortactin was first identified as one of the major substrates for src kinase. because it localized to Cortical actin structures, The aims of this study was to evaluate and compare the immunohistochemical of ICAM-1 expression as cell adhesion molecule marker and Cortactin expression as invasive marker. Material and Methods: This study was performed on (68) formalin-fixed, paraffin-embedded blocks, histopathologically diagn

This study was carried out in the laboratories of fish and animal resource center-Agricultural Research Directorate for the period between 1/3-26/5/2015 to study the effect of total and partial substitution of white corn (WC) Sorghum bicolor germinated for different period and additive mixture of probiotic & diet enzymes of yellow corn (YC) Zea mays in common carp Cyprinus carpio L. diets. The fish fed on experimental diets contained two levels of substitution germination WC with three different periods and not germination with 0.5% mixture of probiotic+diet enzymes (50% and 100%) from YC. A 11 experimental diets were formulated, diets 1 and 2 used raw WC without germinate at two substitution levels of 50% and 100% respectively of YC

This research aims to test the causal relationship long-and short-run between the price of gold the global crude oil price and the exchange rate of the dollar and how you can take advantage of the nature of this relationship, particularly in the Arab oil states that achieve huge surpluses, including Iraq and how to keep on the purchasing power of these surpluses or reduce the levels of risk.

The problem is that the Arab oil countries, adversely affected, as a result of that relationship, due to the fact that its role confined to the sale of crude oil only. They do not have control in the dollar, then they are not able to take advantage of its impact on the price of gold the fact that gold is effective pr

Attention is one of the mental processes of knowledge that play an important role in the life of the individual in general and the child's life, in particular, the child relates to the external environment through its interaction with it, to achieve the adjustment with his environment and harmony with his community.

Much ness and multiplicity of information sources make the child need to scan and exploration to provide the appropriate response by handling sensory stimuli involving the discovery of stimulus and receive it by sensory devices then pay attention to it and realizing and storing it in memory and restoring it in the next positio

تناول البحث حل مشكلة النقل باستخدام مدخل بحوث العملٌات فً مرحلة التحلٌل والتصمٌم لنموذج المشكلة , وتم مقارنة النتائج التً حصلنا علٌها من الحلول لصٌاؼة التحلٌل وبرهنة صحة النموذج المتجه صوب الموضوع, وتم اجراء المقارنة بٌن الحلول المختلفة الختٌار اقل قٌمة لدالة الهدؾ لكً ٌتمكن المستفٌد من صنع القرار, باستخدام الطرق االربعة )طرٌقة الزاوٌة الشمالٌة الؽربٌة, طرٌقة اقل التكالٌؾ, طرٌقة فوجل التقرٌبٌة, الطرٌقة ال

The development taking place on the sports field at the general level and in the game of football at the private level, being the most popular game in the world, has reached very advanced stages. The use of modern aids and technology has contributed greatly to this development from the collective and individual aspects, as the goalkeeper is the most important position in the team, the use of devices gave objective readings about the goalkeeper’s ability in terms of skill and physical aspects, as the importance of the research lies in designing an electronic device to measure the degree of bending of the knee angle because of its great importance in developing the skill of catching and dimensions of the high ball for football goalkeepers.

Hedging is a linguistic avoidance of full commitment or precision. It is the use of a vague language. The main objectives of this study are to