in this paper, using the best proximity theorems for an extensionof brosowski's theorem. we obtain other results on farthest points. finally, wede ne the concept of e- farthest points. we shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (x; ||.||). if z in w is a e-farthest point from an x in x, then z is also a-best ...

How to play the role of humanistic quality education in Material major courses? This paper discusses design ideas and specific implementation methods integrating Curriculum into teaching material science from three aspects: curriculum knowledge objectives ability objective, strategies methods, course expected learning results. After reform basic science, professional points ideological politica...

A restricted-orientation convex set is a set of points whose intersection with lines from some fixed set is empty or connected. This notion generalizes both standard convexity and orthogonal convexity. We explore basic properties of restricted-orientation convex sets in three dimensions. In particular, we establish analogs of the following properties of standard convex sets: The intersection of...

A restricted-orientation convex set is a set of points whose intersection with lines from some fixed set is empty or connected. This notion generalizes both standard convexity and orthogonal convexity. We explore basic properties of restricted-orientation convex sets in three dimensions. In particular, we establish analogs of the following properties of standard convex sets: The intersection of...

This paper details a method of estimating the uncertainty of dimensional measurement for a three dimensional coordinate measurement machine. An experimental procedure was developed to compare three dimensional coordinate measurements with calibrated reference points. The reference standard used to calibrate these reference points was a fringe counting interferometer with a multilateration like ...

The approach adopted by the authors started with Pistone and Wynn (1996) and has continued in a series of works further exploiting the basic idea. It should be noted that the approach di ers from that of Diaconis and Sturmfels's (1998). The starting point is to consider sets of points in R as zero-dimensional varieties and solutions of systems of algebraic equations. Thus the experimental desig...

This paper details a method of determining the uncertainty of dimensional measurement for a three dimensional coordinate measurement machine. An experimental procedure was developed to compare three dimensional coordinate measurements with calibrated reference points. The reference standard used to calibrate these reference points was a fringe counting interferometer with the multilateration te...

Three-dimensional geometric constraint solving is a rapidly developing eld, with applications in areas such as kinematics, molecular modeling, surveying, and geometric theorem proving. While two-dimensional constraint solving has been studied extensively, there remain many open questions in the arena of three-dimensional problems. In this paper, we continue the development of our previous work ...

The benefits of global sourcing as part of a firm’s purchasing strategy have been widely discussed in the academic literature, yet so there are few models that provide a comprehensive risk and cost assessment to guide managerial decision-making. In particular, few models capture the dynamic nature of many cost drivers, such as transportation and energy cost, labour cost inflation, or carbon off...

By differential IgG measurements of sera of 27 patients with early infectious syphilis, it was found that infection with T. pallidium results in a preferential synthesis of IgG immunoglobulins characterized by high isoelectric points. The decrease in total IgG level observed after 6 weeks of treatment can to a large extent be accounted for by the decrease in basic IgG concentration. The relatio...