In this paper, we obtain the general solution and the generalized   Hyers-Ulam-Rassias stability in random normed spaces, in non-Archimedean spaces and also in $p$-Banach spaces and finally the stability via fixed point method for a functional equationbegin{align*}&D_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1}) f(sum^{m}_{i=1, i...

quantitative relationships between molecular structure of forty eight aldehyde compounds with their known cathepsin k inhibitory effects were discovered by partial least squares (pls) method. evaluation of a test set of 10 compounds with the developed pls model revealed that this model is reliable with a good predictability. since the qsar study was performed on the basis of theoretical descrip...

colorectal cancer (crc) is one of the most common cancers worldwide. understanding of the tumor behavior, in a much closer look, at the molecular level, results in a more effective treatment and accurate prognosis of the disease. from among various genes altered in colorectal cancer k-ras is assumed to be of diagnostic and prognostic significance. k-ras mutations are believed to be a critical e...

Geopolymer paste is an innovative construction material which shall be produced by chemical action of inorganic molecules. It is a more environmentally friendly alternative to conventional Portland cement which is abundantly available worldwide. In this study, the influence of different alkaline activators (Na and K) on the mechanical and thermal behaviors of metakaolin-based geopolymer was inv...

In this paper, by using the exponential convexity property of a barrier function, we propose an infeasible interior-point method for Cartesian P_*(k) horizontal linear complementarity problem over symmetric cones. The method uses Nesterov and Todd full steps, and we prove that the proposed algorithm is well define. The iteration bound coincides with the currently best iteration bound for the Ca...

two-layer metallic sheets have wide applications in aerospace, marine, automotive and domestic industries due to their superlative characteristics. in this paper, the formability of two-layer sheet is investigated through analytical, experimental and numerical approaches. an analytical model is developed based on marciniak-kuczynski method associated hill’s non-quadratic yield criterion. formin...