A version of Cauchy’s stress theorem is given in which the stress describing the system of forces in a continuous body is represented by a tensor valued measure with weak divergence a vector valued measure. The system of forces is formalized in the notion of an unbounded Cauchy flux generalizing the bounded Cauchy flux by Gurtin & Martins [12]. The main result of the paper says that unbounded C...

In this paper, a more robust estimator of the Shannon entropy is applied in place an earlier estimator, to obtain improved goodness-of-fit test normality which based on Balakrishnan-Sanghvi measure divergence. The statistic affine invariant and consistent against fixed alternatives. critical values new those competing as well their power comparisons are obtained through extensive simulation stu...

Distributional semantics tries to characterize the meaning of words by the contexts in which they occur. Similarity of words hence can be derived from the similarity of contexts. Contexts of a word are usually vectors of words appearing near to that word in a corpus. It was observed in previous research that similarity measures for the context vectors of two words depend on the frequency of the...

In this paper, we extend the concept of classical f -divergence (for a pair of measures) to mixed f -divergence (for multiple pairs of measures). Mixed f -divergence provides a way to measure the difference between multiple pairs of probability distributions. Properties for mixed f -divergence are established, such as permutation invariance and symmetry in distributions. We also provide an Alex...

The performance of many content analysis methods heavily dependent on the features they are applied. A fundamental problem that makes the content analysis difficult is the curse of dimensionality. In this study, we propose a novel feature reduction method which adopts ensemble approach to measure the divergence between the training set and test set and use the divergence to supervise the featur...