Let $G$ be a $t$-uniform hypergraph, and let $c(G)$ denote the cyclic index of adjacency tensor $G$. $m,s,t$ positive integers such that $t \ge 2$, $s 2$ $m=st$. The generalized power $G^{m,s}$ is obtained from by blowing up each vertex into an $s$-set preserving relation. It was conjectured $c(G^{m,s})=s \cdot c(G)$. In this paper we show conjecture false giving counterexample, give some suffi...

We recently derived exact solutions for the scalar, vector, and tensor mode functions of a single, minimally coupled scalar plus gravity in an arbitrary homogeneous and isotropic background. These solutions are applied to obtain improved estimates for the primordial scalar and tensor power spectra of anisotropies in the cosmic microwave background. PACS numbers: 04.30.Nk, 04.62.+v, 98.80.Cq, 98...

Optimization algorithms play a central role in chemistry since optimization is the computational keystone of most molecular and electronic structure calculations. Herein, we introduce iterative power algorithm (IPA) for global formal proof convergence both discrete continuous search problems, which essential applications such as geometry optimization. IPA implements iteration method quantics te...

The effects of breakup to singlet spin states on elastic scattering observables for the scNi(d, d) 5cNi reaction at 400 MeV is studied. The singlet breakup contribution to the elastic amplitude is estimated through an approximate two-step calculation, in which we exploit an adiabatic approximation and closure over the intermediate continuum states. The inclusion of the singlet channel coupling ...