Based on the relevant statistical data of 2008,taking regional technological innovation ability of Changzhutan “3+5” urban agglomeration as a study object , constructing the objective and comprehensive index system of regional technological innovation ability, combining Analytic Hierarchy Process(AHP) and fuzzy, this paper conducts a comprehensive evaluation of the technological innovation abil...

This paper presents a solution procedure of search parameter optimization for minimum load ensuring desired oneoff and cumulative probabilities of detection in a multifunction phased array radar. The key approach is to convert this nonlinear optimization on four search parameters into a scalar optimization on signal-to-noise ratio by a semi-analytic process based on subproblem decomposition. Th...

Weapon system selection is a multi-criteria decision-making (MCDM) problem. In this study we use the Zero-One Goal Programming (ZOGP) approach and Analytic Network Process (ANP) to solve this problem. An interactive procedure is developed for this solution process. Under such a multi-criteria decision-making process, military user and experts’ judgment can be brought to select an appropriate sy...

The bootstrap algorithm is a computational intensive procedure to derive nonparametric confidence intervals of statistical estimators in situations where an analytic solution is intractable. It is applied to neural networks to estimate the predictive distribution for unseen inputs. The consistency of different bootstrap procedures and their convergence speed is discussed. A small scale simulati...

Analytic approximate solutions using Optimal Homotopy Perturbation Method (OHPM) are given for steady boundary layer flow over a nonlinearly stretching wall in presence of partial slip at the boundary. The governing equations are reduced to nonlinear ordinary differential equation by means of similarity transformations. Some examples are considered and the effects of different parameters are sh...

We apply a bootstrap procedure to two-loop MHV amplitudes in planar N = 4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the ΛB2 coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear li...

We give a simple analytic solution that describes a novel method for population transfer in a three-level system driven by delayed pulses and which accounts for recent experimental results. This solution describes a procedure that is counter intuitive, and yet it is shown to be, in fact, one of the simplest solutions for multilevel systems arising from the adiabatic theorem. Its possible applic...

Abstract: This paper presents a modeling procedure of discovering emergent chance for decision making based on Analytic Hierarchy Process (AHP) and Grey Relational Analysis (GRA). Firstly, the influencing factors of the chances are obtained from domain experts, and then calculate the weights of these influencing factors. Secondly, we use the grey relational model to grade possible chances in de...

The problem of two cracks emanating from the same origin and propagating asymmetrically at different velocities in an elastic and isotropic solid is treated in this paper. An unbounded and otherwise undisturbed medium and a constant anti-plane loading at infinity were assumed. Techniques of self-similar elastodynamics were utilized in conjunction with analytic-function theory. Since a closed-fo...

We consider Lyapunov and H8 balancing as well as model reduction by balanced truncation for infinite-dimensional, discrete-time linear systems. A functional analytic approach to state space transformation leading to balanced realization is presented. Furthermore, we show that a finite dimensional H8 controller designed for a H8 balanced and truncated system stabilizes the original infinite-dime...