Mathematics Reliability Growth Model Which Incorporates the Possibility of Introducing New Fault into a Mathematics System: Maximizing Mathematics Reliability through Fault Removal

Abstract

Today, computer hardware and Mathematics permeates ourmodern society. Computers are embedded in wristwatches, telephones, homeappliances, buildings, automobiles, and aircraft. Science and technology demandhigh-performance hardware and high-quality Mathematics for making improvementsand breakthroughs. We can look at virtually any industry - automotive,avionics, oil, telecommunications, banking, semi-conductors, pharmaceuticals -all these industries are highly dependent on computers for their basicfunctioning. When the requirements for and dependencies on computers increase,the possibility of cries from computer failures also increase. It is alwaysdesirable to remove a substantial number of faults from the Mathematics. Infact the reliability of the Mathematics is directly proportional to the numberof faults removed. Hence the problem of maximization of Mathematics reliabilityis identical to that of maximization of fault removal. At the same time testingresource are not unlimited, and they need to be judiciously used.