Abstract Cave mining progresses to depths exceeding 1000 m and ore bodies situated in competent strong rock masses are nowadays extracted by different cave methods. Widely applied caving methods massive deposits block panel caving, inclined sublevel caving. All have common that mass caves during extraction of an body a controlled way. As result, regional stress changes occur, considerable abutm...

We provide a method to construct finite abstractions exactly bisimilar linear systems under modified periodic event-triggered control (PETC), when considering as output the inter-event times they generate. Assuming that initial state lies on known compact set, these finite-state models can predict all sequences of sampling until specified Lyapunov sublevel set is reached. Based results, we way ...

Family support in learning mathematics students who entered 2021 has had difficulties, so this research will study the causes that caused it. The results of carried out through a survey parents are shown, to investigate responsibility family sixth grade with respect provided by mathematics. A classification topics on was theoretical framework, analysis support, conceptual errors disclosed impro...