IMPLEMENTATION OF LenQuad (LINEAR QUADRATIC) MATHEMATICAL MODEL IN PYTHON TO ESTIMATE THE VALUE OF PI USING ONE QUADRANT OF A GIVEN CIRCLE. FURTHER CHECKING THE EFFICIENCY OF LenQuad METHODOLOGY USING ASYMPTOTIC NOTATIONS
Keywords:
Circumference(C), Radius(r), Linear Quard (lq), Runtime Complexity (rc), BigO(n), Big ThetaΘ(n), Big OmegaΩ(n).Abstract
Pi (π) is one of the most important and fascinating numbers in mathematics. Roughly 3.14, it is a constant that is used to calculate the circumference of a circle from that circle's radius or diameter.[1] It is also an irrational number, which means that it can be calculated to an infinite number of decimal places without ever slipping into a repeating pattern.[2] This makes it difficult, but not impossible, to calculate precisely.
This manuscript specifically addresses finding of Pi value using different approach called LinQuad Mathematical Model. In computer science efficiency of a program solely depends on time factor of processing statement or statement block. Further the amount of memory it is being used for processing also matters in calculating the space complexity of the program, hence the time complexity and space complexity of Linear Quad Mathematical model code is examined. The purpose is to provide an alternative methodology for finding the value of pi.
