Mathematics Reliability Growth Model With the Possibility of Introducing New Fault into a Mathematics System: Optimizing Mathematics Reliability for Various Industries

Abstract

Today, computer hardware and Mathematicspermeates our modern society. Computers are embedded in wristwatches,telephones, home appliances, buildings, automobiles, and aircraft. Science andtechnology demand high-performance hardware and high-quality Mathematics formaking improvements and breakthroughs. We can look at virtually any industry -automotive, avionics, oil, telecommunications, banking, semi-conductors,pharmaceuticals - all these industries are highly dependent on computers fortheir basic functioning. When the requirements for and dependencies oncomputers increase, the possibility of cries from computer failures alsoincrease. It is always desirable to remove a substantial number of faults fromthe Mathematics. In fact the reliability of the Mathematics is directlyproportional to the number of faults removed. Hence the problem of maximizationof Mathematics reliability is identical to that of maximization of fault removal.At the same time testing resource are not unlimited, and they need to bejudiciously used.