this paper addresses a nonlinear observer based control scheme to synchronize chaotic systems subject to uncertainties and external disturbances. it is assumed that the dynamic of slave system is not completely known. in order to compensate for the system perturbation resulting from parameter variations and mismodeling phenomena, an adaptive neural network observer is employed to handle this pr...

The paper presents two new results for the Dasgupta-Heal-Solow-Stiglitz model with an essential nonrenewable resource: (1) the pattern of resource extraction can be more important for sustainable growth than the pattern of saving when the Hotelling Rule modifier is not small enough; (2) the qualitative behavior of the long-run per capita output can be examined along any smooth enough path of ex...

In this paper we develop an alternative procedure to testing the signiicance of nonlin-ear terms in regression models based on the method of tubes. This statistical method was rst introduced by Hotelling (1939) and has been recently extended by others in the statistics literature. The proposed procedure makes use of concepts from diier-ential geometry and it can lead to an exact test with good ...

Sample covariance matrices are also of essential importance in multivariate statistical analysis because many test statistics involve their eigenvalues and/or eigenvectors. The typical example is T 2 statistic, which was proposed by Hotelling [2]. We refer to [1] and [3] for various uses of the T 2 statistic. The T 2 statistic, which is the origin of multivariate linear hypothesis tests and the...

This paper analyzes an optimal differentiation between two competing application software products when one of the two is produced by a monopolist of a base software. The so called ‘minimum differentiation principle’ by Hotelling (1929) is inappropriate in this market category. One can see the example of our ‘optimal differentiation principle’ in a web browser market, where Microsoft’s Internet...

Project course instructors routinely perform their formal assessments based on impressions formed from their mostly indirect experience with the groups they oversee. Nevertheless, even with their limited vantage point, instructors trust their ability to make assessments and regulate group work. In this paper we present a 5 dimensional assessment framework based on data from an interview study i...

1 The author wishes to express his indebtedness to the Carnegie Corporation of New York for a research grant in support of our development of multiple factor analysis and its application to the study of primary mental abilities. 2 L. L. Thurstone, "Theory of Multiple Factors," 1932, pp. 17-27, Edward Brothers, Ann Arbor, Mich. 8 Harold Hotelling, "Analysis of a complex of statistical variables ...