Here, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota–Satsuma coupled KdV equation. HAM is a strong and easy-to-use analytic tool for nonlinear problems and dose not need small parameters in the equations. Comparison of the results with those of Adomian’s decomposition method (ADM) and homotopy perturbation method (HPM), has led us to s...

We analyse the statistical physics of a two dimensional lattice based gas with long range interactions. The particles interact in a way analogous to Queens on a chess board. The long range nature of the interaction gives the mathematics of the problem a simple geometric structure which simplifies both the analytic and numerical study of the system. We present some analytic calculations for the ...

Two-and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the n-point functions of protected operators for n ≤ 4 are invariant under U (1) Y and it is argued that this implies that the two-and three-point functions are not renormalised. It is shown...

Behavior analysts have not been particularly active in the experimental analysis of human sexual behavior. This may be because the complexity of human sexuality suggests that it defies a molecular empirical analysis. Recent developments in the experimental analysis of complex behavior and language, however, have opened the way for a modem behavior-analytic research program into human sexual con...

This study analyzes how accumulation of knowledge takes place in para-scientific area, focusing on the case of Analytic Philosophy. The theoretical framework chosen for the analysis is Kuhn’s theory of normal science. The methodology employed is qualitative citation context analysis. A sample of 60 papers published in leading Analytic Philosophy journals between 1950 and 2009 is analyzed, and a...

There is a vital dialectic between agency and surrender in life and in the analytic process. Without an ability to will, one cannot choose one’s actions; one becomes a passive victim of circumstances rather than an agent who can influence one’s own destiny. On the other hand, an exaggerated sense of agency fails to take into account the limits of our ability to control life, and is associated w...

In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Homotopy Pad$acute{e}$ methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by $[m,m]$ Homotopy Pad$acute{e...

Abstract   The Analytic Network Process (ANP) is a generalization of the Analytic Hierarchy Process (AHP). The basic structure is an influence network of clusters and nodes contained within the clusters. Priorities are established in the same way they are in the AHP using pairwise comparisons and judgment. Many decision problems cannot be structured hierarchically because they involve the inter...

This paper is about non-labelled proof-systems for hybrid logic, that is, proofsystems where arbitrary formulas can occur, not just satisfaction statements. We give an overview of such proof-systems, focusing on analytic systems: Natural deduction systems, Gentzen sequent systems and tableau systems. point out major results we discuss a couple striking facts, in particular nonlabelled hybrid-lo...

Analytic surgery, as defined in [9] and [6], is a one-parameter metric deformation of a Riemannian manifold M , which stretches M across a separating hypersurface H in a cylindrical fashion; the singular limit is a complete manifold with asymptotically cylindrical ends, M . In this paper, the analysis of [9] and [6] is used to study the behaviour of analytic torsion of unitary representations u...