Degenerative arthritis is a disease that affects the line cartilage of the knee joint. It causes severe pain in the joint and may require a replacement surgery of the affected knee with artificial components. Geometric complexity and non linearity of the materials of the knee make the analytical solutions of the mechanical behaviour of the knee joint difficult. The knee is the most complex join...

Abstract. Distance energy is a newly introduced molecular graph-based analog of the total π-electron energy, and it is defined as the sum of the absolute eigenvalues of the molecular distance matrix. For trees and unicyclic graphs, distance energy is equal to the doubled value of the distance spectral radius. In this paper, we introduce a general transformation that increases the distance spect...

The canonical polyadic decomposition (CPD) of a low-rank tensor plays major role in data analysis and signal processing by allowing for unique recovery underlying factors. However, it is well known that the CPD approximation problem ill-posed. That is, may fail to have best rank $R$ when $R>1$. This article gives deterministic bounds existence approximations over ${\mathbb{K}}={\mathbb{R}}$ or ...