A family of scaling corrections aimed to improve the chi-square approximation of goodness-oft test statistics in small samples, large models, and nonnormal data was proposed in Satorra and Bentler (1994). For structural equations models, Satorra-Bentler's (SB) scaling corrections are available in standard computer software. Often, however, the interest is not on the overall t of a model, but on...

A family of scaling corrections aimed to improve the chi-square approximation of goodness-oft test statistics in small samples, large models, and nonnormal data was proposed in Satorra and Bentler (1994). For structural equations models, Satorra-Bentler's (SB) scaling corrections are available in standard computer software. Often, however, the interest is not on the overall t of a model, but on...

The method of modi®ed equations is studied as a technique for the analysis of ®nite di€erence equations. The non-uniqueness of the modi®ed equation of a di€erence method is stressed and three kinds of modi®ed equations are introduced. The ®rst modi®ed or equivalent equation is the natural pseudo-di€erential operator associated to the original numerical method. Linear and nonlinear combinations ...

In this paper, a new viewpoint, "individuality" and "sociality", is introduced for analyzing the multi-agent system's behavior. A hypothesis is set up that the both behavioral characters emerge to generate different actions from the other agent to increase each agent's bene t. "Individuality" is de ned as the di erence of actions between agents based on the di erence of its internal information...

This paper studies the in uence of knowledge difference on the performance of a search agent | { a controllable camera that can pan, tilt and zoom. The task of the agent is to search for a 3D target within a 3D environment. The goal is to maximize the probability of detecting the target within a given period of time. The search agent does this by autonomously controlling its state parameters to...

We develop a fourth order accurate finite di↵erence method for solving the three-dimensional elastic wave equation in general heterogeneous anisotropic materials on curvilinear grids. The proposed method is an extension of the method for isotropic materials, previously described in the paper by Sjögreen and Petersson [J. Sci. Comput. 52 (2012)]. The proposed method discretizes the anisotropic e...

We measure varietal di erences in general, and di erences with respect to standard languages in particular ( dialectality , in Herrgen/Schmidt's sense) in order to systematize observations about dialect di erences, to make sense of exceptions, and to enable measurements based on randomly selected material, thus obviating issues of potential bias. Finally, measurements allow the characterization...

This paper considers the ®xed-structure, discrete-time mixed H2=H1 controller synthesis problem in the delta operator (di€ erence operator) framework. The di€ erential operator and shift operator versions of the problem are reviewed for comparison, and necessary conditions are derived for all three formulations. A quasi-Newton/continuation algorithm is then used to obtain approximate solutions ...

We examine the stability properties of a class of LTV di"erence equations on an in&nite-dimensional state space that arise in backstepping designs for parabolic PDEs. The nominal system matrix of the di"erence equation has a special structure: all of its powers have entries that are −1, 0, or 1, and all of the eigenvalues of the matrix are on the unit circle. The di"erence equation is driven by...

In this paper, we are concerned with oscillation of the nonlinear di¤erence equation (cn [ (dn xn)] ) + qnf(xg(n)) = 0; n n0; where > 0 is the quotient of odd positive integers, cn, dn and qn are positive sequences of real numbers, g(n) is a sequence of nonnegative integers and f 2 C(R;R) such that uf(u) > 0 for u 6= 0:We establish some new su¢ cient conditions for oscillation by employing the ...