This paper develops a functional data analysis framework to model diffusion tensors along fiber bundles as functional responses with a set of covariates of interest, such as age, diagnostic status and gender. This framework has a wide range of clinical applications including the characterization of normal brain development, the neural bases of neuropsychiatric disorders, and the joint effects o...

Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.

The dynamics of tilted vortex lines in Josephson-coupled layered superconductors is considered within the time-dependent Ginzburg-Landau theory. The frequency and angular dependences of the complex-valued vortex mobility μ are studied. The components of the viscosity and inertial mass tensors are found to increase essentially for magnetic field orientations close to the layers. For superconduct...

Secure Computing in the Cloud (Dagstuhl Seminar 11491) Benny Pinkas, Ahmad-Reza Sadeghi, and Nigel P. Smart . . . . . . . . . . . . . . . . . . . . . . . . 1 Secure Architectures in the Cloud (Dagstuhl Seminar 11492) Sabrina De Capitani di Vimercati, Wolter Pieters, and Christian W. Probst . . . . . . 11 Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data ...

The electromagnetic field of the ultrarelativistic Reissner Nordstrøm Solution shows the physically highly unsatisfactory property of a vanishing field tensor but a nonzero, i.e. δ-like, energy density. The aim of this work is to analyse this situation from a mathematical point of view, using the framework of Colombeau’s theory of nonlinear generalized functions. It is shown that the physically...

This report documents the program and the outcomes of Dagstuhl Seminar 11501 “Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data”, taking place December 11–16, 2011. The seminar gathered 26 senior and younger researchers from various countries in the unique atmosphere offered by Schloss Dagstuhl. The focus of the seminar was to discuss modern and emerging...

Tensor valued data are frequently used in medical imaging. For a 3-dimensional second order tensor such data imply at least six degrees of freedom for each voxel. The operators ability to perceive this information is of outmost importance and in many cases a limiting factor for the interpretation of the data. In this paper we propose a decomposition of such tensor fields using the Tflash tensor...

In the presence of a strong external field, the vacuum reacts, becoming magnetized and polarized. The index of refraction, magnetic permeability, and dielectric constant of the vacuum are straightforward to calculate using quantum electrodynamic one-loop corrections [1–6]. In this paper, we calculate the magnetic permeability and dielectric tensors of an external electric or magnetic field of a...

Diffusion imaging is a noninvasive tool for probing the microstructure of fibrous nerve and muscle tissue. Higher-order tensors provide a powerful mathematical language to model and analyze the large and complex data that is generated by its modern variants such as High Angular Resolution Diffusion Imaging (HARDI) or Diffusional Kurtosis Imaging. This survey gives a careful introduction to the ...

we have evaluated the nmr shielding tensors for a:t,g:c,a:u in watson-crick, and u-quartet. we have computed nmr shielding tensors at b31yp level by using 6-31g(d) basis set. we have compute anisotropy and asymmetry in a:t,g:c,a:u and u-quartet. the nmr shielding tensors were calculated using the giao method. the natural bonding orbital analysis (nbo) were performed. nbo calculation have been ...