F index is a connected graph, sum of the cubes of the vertex degrees. The forgotten topological index has been designed to be employed in the examination of drug molecular structures, which is extremely useful for pharmaceutical and medical experts in understanding the biological activities. Among all the topological indices, the forgotten index is based on degree connectivity on bonds. This paper characterized the forgotten index of union of graphs, join graphs, limits on trees and its complements, and accuracy is measured. Co-index values are analyzed for the various molecular structure of chemical compounds

The purpose of this paper is to prove the following result: Let R be a 2-torsion free ring and T: R?R an additive mapping such that T is left (right) Jordan ?-centralizers on R. Then T is a left (right) ?-centralizer of R, if one of the following conditions hold (i) R is a semiprime ring has a commutator which is not a zero divisor . (ii) R is a non commutative prime ring . (iii) R is a commutative semiprime ring, where ? be surjective endomorphism of R . It is also proved that if T(x?y)=T(x)??(y)=?(x)?T(y) for all x, y ? R and ?-centralizers of R coincide under same condition and ?(Z(R)) = Z(R) .

Communication is a vital process that needs much more understanding and mutual background knowledge on the part of ESL learners in terms of grammar, meaning and context. Thus, the main aim of the current research paper is to identify and figure out the denotative and connotative meaning of barnyard verbs in English and practically analyzing these verbs to identify the dictionary meaning from connotative one. The main problem of this study is attributed to the fact that ESL learners may not be able to identify and understand the connotative meaning of barnyard verbs since these verbs are onomatopoeic (i.e,) a word that phonetically imitates, or suggests the source of sound that it describes). Consider the following example: the verb "coo" ha

Community participation is one of the basic pillars of the sustainable development process. It provides opportunities for different groups of society to contribute to the management, preparation and implementation of development plans commensurate with their needs and aspirations. In this context, the study presents a study of the concept of community participation and its importance in sustainable development, In terms of its conditions, requirements and principles, as well as its image, as well as addressing the most important challenges and obstacles facing the participation of citizens in development projects. The research also provides an analysis of a number of international and Arab experiences adopted In its polici

Variable-Length Subnet Masks (VLSM), often referred to as "subnetting a subnet", is used to maximize addressing efficiency. The network administrator is able to use a long mask on networks with few hosts, and a short mask on subnets with many hosts. This addressing scheme allows growth and does not involve wasting addresses. VLSM gives a way of subnetting a network with minimal loses of IP addresses for a specific range. Unfortunately, the network administrator has to perform several mathematical steps (or use charts) to get the required results from VLSM. In this paper, a simple graph simulator is proposed (using Visual Basic 6.0 Language) to perform all the required mathematical steps and to display the obtained required information (the

The reinforcing effect of emphasizers can hardly be denied, hence their importance , hence the justification for writing this paper. As a particular type of adverbials , emphasizers form part of a major syntactic class. This study, thus, introduces the topic by first discussing a grammatical category characterized by being mobile and optional. The paper duly shows the scaling effect of emphasizers, their kinds and the transformational selectional rules that are operative in moving them to the right or left of the VP. It also handles their syntactic role as modifiers, their syntactic features,their occurrence or non- occurrence with negation and imperative and the position they occupy in the sentence. The paper also dwells on the agr

This study is conducted to carry out a straightforward way appropriate for quality monitoring and stability of arc stud welding process, followed by a number of procedures to control the quality of welded samples, namely torque destructive testing and visual inspection context.  Those procedures were being performed to support the monitoring system and verify its validity. Thus, continuous on-line monitoring guarantees earlier discovering stud welding defects and avoiding weld repeatability. On-line welding electronic monitoring system is for non destructive determining if a just completed weld is satisfactory or unsatisfactory, depending on welding current peak value detected by the system. Also, it has been observed significant ha