WAve Synthesis of Permissible mutation functions, WASP, is a heuristic with an objective to minimize the nodes and the levels of an acyclic multiple level boolean network of 2-input nodes. WASP transforms a multi-input, multi-output perturbation region of wires Pj into a single-level mutation subcircuit Mj and a remainder subcircuit Rj . The transformations include the concept of minimum cost p...

Perturbation theory permits the analytic study of small changes on known solutions, and is especially useful in electromagnetism for understanding weak interactions and imperfections. Standard perturbation-theory techniques, however, have difficulties when applied to Maxwell's equations for small shifts in dielectric interfaces (especially in high-index-contrast, three-dimensional systems) due ...

This paper is concerned with a class of singularly perturbed systems of two conservation laws. A small perturbation parameter is introduced in the dynamics and the boundary conditions. By setting the perturbation parameter to zero, the singularly perturbed system of conservation laws can be treated as two subsystems of one conservation law: the reduced system and the boundary-layer system. The ...

We study the high energy, fixed angle, asymptotics of D-brane form factors to all orders in string perturbation theory, using the Gross-Mende saddle point techniques. The effective interaction size of all D-branes grows linearly with the energy as αE/n, where n is the order of perturbation theory, except for the D-instanton, whose form factor is dominated by end-point contributions, and remains...

A new perturbation theory is proposed for studying finite-size effects near critical point of the φ 4 model with a one-component order parameter. The new approach is based on the techniques of generating functional and functional derivative with respect to external source field and can be used for temperatures both above and below the critical point of the bulk system. It is shown that this app...

In this paper, we construct a new Eisenstein cocycle called the Shintani-Barnes which specializes in uniform way to values of zeta functions general number fields at positive integers. Our basic strategy is generalize construction presented work Vlasenko and Zagier by using some recent techniques developed Bannai, Hagihara, Yamada, Yamamoto their study polylogarithm for totally real fields. We ...

This work focuses on stochastic functional differential equations (SFDEs) with wide-band noise perturbation, which is a class of actual physical process and has wide application in the modeling communication signal system. Using derivatives together martingale methods weak convergence techniques, this paper examines asymptotic properties underlying systems as small parameter tends to zero. Base...

Nonspherical perturbation theory has been necessary to understand the meaning of radiation in spacetimes generated through fully nonlinear numerical relativity. Recently, perturbation techniques have been found to be successful for the time evolution of initial data found by nonlinear methods. Anticipating that such an approach will prove useful in a variety of problems, we give here both the p...

In this paper an investigation is carried out to classify the steady state responses of asymmetric piecewise linear vibration isolators as double hitting, single hitting, and no hitting. In each class, the analysis has been carried out using a set of coupled nonlinear algebraic equations following Natsiavas and Gonzalez [1]. Applying perturbation technique, a closed form analytic expression of ...