Abstract Modern production has stricter requirements for the reliability of complex systems; thus, it is meaningful to estimate health systems. A system diverse observation features and internal structures, which have been difficult study with regard condition estimation. To describe continuous gradually changing time-based characteristics a system’s condition, this develops feature selection m...

Le Chatelier's principle is used as a very simple way to predict the effect of a change in conditions on a chemical equilibrium. . However, several studies have reported the violation of this principle, still there is no reported simple mathematical equation to express the exact condition of violation in the gas phase reactions. In this article, we derived a simple equation for the violation of...

This work describes a fast, mild, convenient and simple method for preparing of nitrogen heterocyclic derivatives by MCR reaction under solvent-free condition.