A Case of Application of Data Transforms

Abstract

The recent implementations of Industry 4.0 and allied mathematical applications such as machine learning and big data analytics are conditioned by mathematizing the basic features of the observed system. For example, the key phenomena in a number of man-made processes are controlled by an orifice, an opening through which is passing a medium of interest. When the observed process is recursive, the related records indicate the possibility of extracting from the accumulating observations knowledge useful for the system optimisation. Many of the process variables such as chemical composition, velocities, temperatures, and forces, are recorded in a convenient digital format. This, however, is not always the case with the orifice geometry. Mathematical transforms presented hereby demonstrate how a broad variety of the orifice geometries can be defined in a generic mathematical format that allows for analysing them within the same observation space