introduction: appropriate definition of the distance measure between diffusion tensors has a deep impact on diffusion tensor image (dti) segmentation results. the geodesic metric is the best distance measure since it yields high-quality segmentation results. however, the important problem with the geodesic metric is a high computational cost of the algorithms based on it. the main goal of this ...

This paper derives a metric for the complexity measurement in network industries (e.g., telecommunication) by adapting a well-established method from the manufacturing industry. This metric consists of four dimensions: multiplicity, variety, interaction and dynamics, which have been further objectified by industry specific indicators. After having validated the dimensions and their interplay wi...

A set of vertices W resolves a graph G if every vertex is uniquely determined by its coordinate of distances to the vertices in W . The minimum cardinality of a resolving set of G is called themetric dimension of G. In this paper, we consider a graphwhich is obtained by the lexicographic product between two graphs. The lexicographic product of graphs G and H , which is denoted by G ◦ H , is the...

A C-metric algebra consists of a unital C-algebra and a Leibniz Lip-norm on the C-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital -homomorphism from a C-metric algebra to another one is necessarily Lipschitz. It results that the free product of two Lipschitz unital -homomorphisms between C-metric algebras coming from -filtrations is still a Lipschitz u...

Security is not considered a priority by developers of shrink-wrap systems because without a means to accurately and understandably measure it, security fails to provide a competitive advantage. I assert that the cost to break into a system is an effective metric, that this metric can be measured from the start of testing until product retirement, and that using this metric to differentiate pro...

We consider a set of programs a family when it pays to look at their common aspects before looking at their differences. For commercial software developers the implications are twofold: First, making rational decisions about product-line processes and products requires the ability to answer the question: “Does it pay?” Second, whether or not something pays is ultimately a business (rather than ...

This paper explores the importance of researching the intuitiveness in the product use. It approaches the intuitiveness influence for users that already had a visual experience of the product. Finally, it is suggested the use of a table that relates the tasks performed while using a product, the features for an intuitive use and the performance metric "task success".

For an ordered set W = {w1, w2, · · · , wk} of vertices and a vertex v in a connected graph G, the representation of v with respect to W is the ordered k-tuple r(v|W ) = (d(v, w1), d(v, w2), · · · , d(v, wk)) where d(x, y) represents the distance between the vertices x and y. The set W is called a resolving set for G if every vertex of G has a distinct representation. A resolving set containing...