For a nonnegative weakly irreducible tensor, its spectral radius is an eigenvalue corresponding to unique positive eigenvector up scalar, called Perron vector. But including the vector, it may have more than one radius. The projective eigenvariety associated with set of eigenvectors considered in complex space. We prove that dimension above zero, i.e. there are finitely many scalar. characteriz...

Recent advancements in Remote sensing has led the way for the development of Hyper spectral sensors. Hyper spectral remote sensing is a new technology that is currently being used by researchers and scientists with regard to the detection and identification of mineral, vegetation, man-made materials and other features. These sensors are far more superior as they collect information in a very na...

In this paper we show that the Breitenlohner-Maison prescription for treating the presence of chiral symmetry in Dimensional Regularization fits remarkably well with the framework of noncommutative geometry. In fact, it corresponds to taking the cup product of spectral triples, with a specific spectral triple Xz whose dimension spectrum is a single complex number z. We give a realization of Xz ...

Resonon utilizes line-scan spectral imaging, where a scene is limited to one dimension with a slit, and then imaged off a diffraction grating to obtain spectral information for each pixel along the slit. A second spatial dimension is obtained by scanning the object as multiple frames are collected. Here, electrophoresis was used as the scanning mechanism, as illustrated in Figures 1 and 2. Prot...

Recent auditory physiological evidence points to a modulation frequency dimension in the auditory cortex. This dimension exists jointly with the tonotopic acoustic frequency dimension. Thus, audition can be considered as a relatively slowly-varying two-dimensional representation, the “modulation spectrum,” where the first dimension is the well-known acoustic frequency and the second dimension i...