Tensor field visualization aims at the depiction of the full information contained in the underlying data set or the extraction and display of specific features. Here, we focus on the first task and evaluate various methods with regard to their power of providing an intuitive visual representation. Tensor fields are reviewed in a differential geometric context and we provide a coordinate-free d...

we show that the character space of the vector-valued lipschitz algebra $lip^{alpha}(x, e)$ of order $alpha$ is homeomorphic to the cartesian product $xtimes m_e$ in the product topology, where $x$ is a compact metric space and $e$ is a unital commutative banach algebra. we also characterize the form of each character on $lip^{alpha}(x, e)$. by appealing to the injective tensor product, we then...

the source parameters and focal depth of the destructive mw 6.5, 31 march. 2006 iran- silakhor earthquake, the two largest foreshocks and a major aftershock are determined using broadband data from a seismic network in iran based on a time-domain linear moment tensor inversion. the earthquakes occurred in the zagros suture zone in western iran. waveform inversion of the selected events estimate...

Based on a new framework for the description of N transparent motions we categorize different types of transparentmotion patterns. Confidence measures for the presence of all these classes of patterns are defined in terms of the ranks of the generalized structure tensor. To resolve the correspondence between the ranks of the tensors and the motion patterns, we introduce the projective plane as ...

We first review theoretical results for the problem of estimating single and multiple transparent motions. For N motions we obtain a M×M generalized structure tensor JN with M = 3 for one, M = 6 for two, and M = 10 for three motions. The analysis of motion patterns is based on the ranks of JN and is thus not only conceptual but provides computable confidence measures for the different types of ...

The integrability conditions for the existence of a conformal Killing-Yano tensor of arbitrary order are worked out in all dimensions and expressed in terms of the Weyl tensor. As a consequence, the integrability conditions for the existence of a Killing-Yano tensor are also obtained. By means of such conditions, it is shown that in certain Einstein spaces one can use a conformal Killing-Yano t...

In this paper, we import tensor index notation including Einstein summation notation into programming by introducing two kinds of functions, tensor functions and scalar functions. Tensor functions are functions that contract the tensors given as an argument, and scalar functions are the others. As with ordinary functions, when a tensor function obtains a tensor as an argument, the tensor functi...

The aim of the present study was to evaluate the properties of linear andnonlinear optics of the Schiff base Salen. Crystal structure of nanoparticles wasdetermined by a Bruker make diffractometer, Cu-K X-rays of wavelength (=1.5406Å). The XRD patterns were recorded in the 2 range of 10–90o with a step width of 0.02s-1. The UV-Vis Spectra recorded on a computerized double - beam Shimadzu 255...