In a connected graph , the distance function between each pair of two vertices from a set vertex  is the shortest distance between them and the vertex degree  denoted by  is the number of edges which are incident to the vertex  The Schultz and modified Schultz polynomials of  are have defined as:

 respectively, where the summations are taken over all unordered pairs of distinct vertices in  and  is the distance between  and  in  The general forms of Schultz and modified Schultz polynomials shall be found and indices of the edge – identification chain and ring – square graphs in the present work.

Learn new methods of teaching mathematics contribute to raising the level of pupils to acquire mathematical concepts primary stage
Attempt advancement in the level of mathematics teaching for the better through the use of modern teaching strategies. The research aims at the progress in the acquisition of mathematical concepts schoolgirls after subjecting the fourth grade to teach in active learning strategies, the number of research sample (60) schoolgirl, by (30) schoolgirl experimental group and 30 pupils of the control group. Clear from the results shown the presence of a statistically significant difference between the acquisition of concepts of schoolgirls two groups (experimental and control) for the benefit of pupils of the exp

One of the troublesome duties in chemical industrial units is determining the instantaneous drop size distribution, which is created between two immiscible liquids within such units. In this work a complete system for measuring instantaneous droplet size is constructed. It consists of laser detection system (1mW He-Ne laser), drop generation system (turbine mixer unit), and microphotography system. Two immiscible liquids, water and kerosene were mixed together with different low volume fractions (0.0025, 0.02) of kerosene (as a dispersed phase) in water (as a continuous phase). The experiments were carried out at different rotational speed (1180- 2090 r.p.m) of the turbine mixer. The Sauter mean diameter of the drops was determined by la

The study of the (dualist antagonism) of a poet, will be determined by the poet's potential, and according to the system of concepts and creativity, and this means that there is a difference between the rooting of the meaning and its roots, and poetic sources by tracking the poets and their attitudes.
Therefore, poetry is a variable function according to the values ​​of the movement, which is the freedom and continuous fuel. With these units of measurement, can measure the dose (Ahmed Bakheet) of freedom and mechanisms of investment, Bakheet (moment) of the time of hair dimensions of the limits of his experience. This is what the researchers will address in their research.

  Thankfully Thank meets the grace and pushes us Blaneh and a curse, peace and blessings be upon the Prophet after him, and his family and companions, and after:

    This research deals with the subject of the provisions of the autistic in criminal penalties, one of the important issues, especially after the spread in abundance in our contemporary society, as the patient is characterized by autism in most of spaces of isolation and depression and aggressive behavior, and in some cases try autistic to commit suicide as a result of going through the psychological pressure , was this research to clarify what follows autistic criminal penalties as a result of the capital crime of self or without them, and the stat

The lexical connotation is one of the types of connotation that linguists have dealt with, and stipulated in their studies, meaning access to the real meanings of the words, that the lexicon can address after tracing the real meaning of the metaphorical meanings, if any, and this is known to the semantics additional significance, and the rhetorical meaning Figuratively.
The miraculous Qur'an in its systems often refers to the metaphorical uses of the words as well as the real use. The significance of the words in the Holy Qur'an came in a variety of contexts, making each word a special significance that belongs to it exclusively. This is the miracle of the Holy Qur'an. The coming of the slow walk, with its eight words (came, came, cam

This research deals with the topic (Fantasy Parody in the Design of the Advertisement) in view of the important role that fantasia plays in designing the most creative and attractive advertisements to the recipients. The research problem lies in accordance with the following question:
What is the Fantasy Parody in the Design of the Advertisement?
It means the imagination, the unfamiliar; and features that emerge for it that distinguish it from other concepts. Fantasy advertisement is creativity in innovative ways, either through collage, merging, or the use of various artistic expressions in terms of intellectual and cultural awareness. When uses in the parody of advertisement, it has helped to come up with an aesthetic experie

After the use of trust in God, and after the completion of my research called (the legislative miracle in the light of Surat), which studies the miracle in general and then unique legislative miracle, which was the largest share of the research where I built my research on several topics dealt with in the first topic: definition of miracles language and terminology and address Also discussed the Quran and the challenge and miracles and the status of the Arabs in the eloquence and eloquence, and then the literature in the miracle and dealt with legislation based on the foundations of individual education, family building, community building, and the most important advantages of Islamic legislation and presented some examples of legislativ

  In this research study, I tried to trace the epic effect to learn how it was understood and how it was used. Following the descriptive and analytical approach in the research, the first chapter dealt with a presentation of the methodological framework of the problem, the goal, the limits of the research, the importance and the need for it and the definition of terms, as well as the theoretical framework which consisted of two topics, including the impact of the epic theater on the world theater and the second the effect of the epic theater on the Arab theater, This came by tracing the epic impact on the world stage of the Greeks, the Middle Ages, the Renaissance, and the Arab theater of the twentieth century.
As for the second

“Child of today is a man of the future" this slogan is one of the most popular logos of international organizations and institutions that dealing with human beings needs in general and children needs in particular, whether these needs are educational, health, social, or economic. Children require special care and extra legal protection, since the child-raising is not the Child’s own issue, but it's the issue of the society in which he/she would integrate.

As the education and language skillsacquisition primarily associated with hearing, because human being receives most of the skills and knowledge through the hearing; that imitate sounds and learn how to speak isacquired only by hearing, so therefore the hearing - impairedchi