We created a system that predicts failures in advance by analyzing the equipment spectrum for rotating operated Hyundai and Kia Motors. In case of analysis through existing rotation speed order tracking, if or specifications change, it is often useless. To this end, we extracted trained images various ways, made possible to know what kind failure there when new received. For easy use, (1) facil...

let $r$ be a commutative ring and let $m$ be an $r$-module. in this article, we introduce the concept of the zariski socles of submodules of $m$ and investigate their properties. also we study modules with noetherian second spectrum and obtain some related results.

a multicone graph is defined to be join of a clique and a regular graph. a graph $ g $ is  cospectral with  graph $ h $ if their adjacency matrices have the same eigenvalues. a graph $ g $ is  said to be  determined by its spectrum or ds for short, if for any graph $ h $ with $ spec(g)=spec(h)$, we conclude that $ g $ is isomorphic to $ h $. in this paper, we present new classes of  multicone g...

When analyzing linear systems of equations, the most important indicator of potential instability is the condition number of the matrix. For a convolution matrix W formed from a series w (where Wij wi-, + ,, 1 5 i j + 1 5 k , W,j = 0 otherwise), this condition number defines the stabirity of the deconvolution process. For the larger convolution matrices commonly encountered in practice, direct ...