in this paper, we aresupposed to introduce the definitions of n-fold commutative, andimplicative hyper k-ideals. these definitions are thegeneralizations of the definitions of commutative, andimplicative hyper k-ideals, respectively, which have been definedin [12]. then we obtain some related results. in particular wedetermine the relationships between n-fold implicative hyperk-ideal and n-fold...

Classical differential geometry can be encoded in spectral data, such as Connes’ spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes’ non-commutative spin geometry encompassing noncommutative Riemannian, symplectic, complex-Hermitian and (Hyper-) Kähler geometry...

We present two new linear algorithms that perform unmixing in hyper-spectral images and then recognize their targets whose spectral signatures are given. The first algorithm is based on the ordered topology of spectral signatures. The second algorithm is based on a linear decomposition of each pixel's neighborhood. The sought after target can occupy subor above pixel. These algorithms combine i...

hyper-tubes consisting of hyper-cubes of n-dimensions were designed and formulas for substructures of vary dimensions established.

Three-dimensional spectral domain optical coherence tomography was performed in a 26-year-old man with chronic exposure to welding arc. Advanced macular visualisation provided significant findings of inner segment-ellipsoid zone disruption with the presence of cystoid changes and hyper-reflective material in the area of disruption. The external limiting membrane was intact in both the eyes. C-s...

The dramatic increase of drug use, mostly hashish and marijuana, reinforces the demand for drug prevention and the need for accurate and updated information on cannabis fields. This study sought to evaluate the ability of Hyperspectral spectroscopy to discriminate cannabis from different scales and land use. The study was conducted in three stages: 1) Examination of the cannabis spectrum under ...

The spectral study of cancer dates back 50 years, but it is still not known whether spectral measurements suffice to distinguish cancerous from normal tissue. An objective approach to that question is designing automatic classifiers for discrimination between these two classes and then estimating generalization error rates. Previous studies have not estimated errors adequately: it is not a prio...

Binary collision-induced hyper-Rayleigh (CIHR) spectra of Kr-Xe gaseous system are computed quantum mechanically and classically within the frequency range up to 380 cm(-1). The intensities are expressed in absolute units. The details of the theory developed for the CIHR spectra are given and the properties of the profiles as well as the depolarization ratio frequency dependence are discussed. ...