We present the ultraviolet poles and finite terms of two-loop vertex corrections for diagrams with massive partons in the eikonal approximation. We discover and prove that the results for a set of the corrections generalize to n-loop eikonal diagrams. These results will enhance theoretical understanding and allow greater calculational accuracy for the many partonic processes where the eikonal a...

uml is known as one of the most common methods in software engineering.since this language is semi-formal, many researches and efforts have beenperformed to transform this language into formal methods including petri nets.thus, the operation of verification and validation of the qualitative and nonfunctionalparameters could be achieved with more ability. since the majority of thereal world info...

graham higman has defined coset diagrams for psl(2,ℤ). these diagrams are composed of fragments, and the fragments are further composed of two or more circuits. q. mushtaq has proved in 1983 that existence of a certain fragment γ of a coset diagram in a coset diagram is a polynomial f in ℤ[z]. higman has conjectured that, the polynomials related to the fragments are monic and for a fixed degree...

fundamental engineering concepts through a course in statics. Statics problems usually require the student to draw planar truss and other free-body diagrams (FBDs). In civil and mechanical engineering, visual and spatial thoughts are essential for the correct absorption of fundamental concepts. By relying on visual aids as opposed to only using the verbal channel of acquiring knowledge, the cog...

In (Golchin A. and Rezaei P., Subpullbacks and flatness properties of S-posets. Comm. Algebra. 37: 1995-2007 (2009)) study was initiated of flatness properties of right -posets  over a pomonoid  that can be described by surjectivity of  corresponding to certain (sub)pullback diagrams and new properties such as  and  were discovered. In this article first of all we describe po-flatness propertie...

Abstract. We revisit three variants of the well-known Stommel diagrams that have been used to summarize knowledge characteristic scales in time and space some important hydrologic phenomena modified these focusing on spatiotemporal scaling analyses underlying processes. In present paper we focus soil formation, vegetation growth, drainage network organization. use existing relationships for gro...