This paper studies a downlink security-aware secure outage performance in the secondary network of cognitive radio-assisted non-orthogonal multiple access (CR-NOMA). The relay is employed to assist transmission from source destinations. subject constraints fixed power allocation factor assigned each user. based on channel state information (CSI) at physical layer which an eavesdropper intends s...

In this paper, we prove that a real tensor is strictly semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any nonnegative vector and a real tensor is semi-positive if and only if the corresponding tensor complementarity problem has a unique solution for any positive vector. It is showed that a real symmetric tensor is a (strictly) semi-positi...

in this paper, construction properties of branches in the root locus of a positive feedback system whose loop transfer function is not strictly proper have been investigated. we have introduced and proved the formulations for calculating the number of branches passing through infinity, point of intersection of the asymptotes on the real axis, and angle of these asymptotes with positive directio...

We present a new strong normalisation proof for a λ-calculus with interleaving strictly positive inductive types λ which avoids the use of impredicative reasoning, i.e., the theorem of Knaster-Tarski. Instead it only uses predicative, i.e., strictly positive inductive definitions on the metalevel. To achieve this we show that every strictly positive operator on types gives rise to an operator o...

‎Many optimization problems can be reduced to a problem with an increasing and co-radiant objective function by a suitable transformation of variables. Functions, which are increasing and co-radiant, have found many applications in microeconomic analysis. In this paper, the abstract convexity of positive valued affine increasing and co-radiant (ICR) functions are discussed. Moreover, the ...