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Machine Intelligence of Pi From Geometrical Figures With Variable Parameters Using SCILab

Ankita Mandal, Soumi Dutta, Sabyasachi Pramanik

2021Advances in systems analysis, software engineering, and high performance computing book series44 citationsDOI

Abstract

In the present research work, the use of geometrical figures have been made for the calculation of the value of pi. Instead of circle and square, ellipse and rectangle had been used to derive the value of pi. Ellipse can be considered as an extension of a circle where it had been stretched in two dimensions in unequal manner giving rise to the concept of major axis and minor axis. These axes are considered as the length and breadth of the considered rectangle. The ellipse has been considered within the rectangle and some random points are generated to see the position occurrence of the generated points. If the point lies within the ellipse, then the specific counter is incremented; otherwise, the counter for the rectangle is incremented.

Topics & Concepts

EllipseRectangleSquare (algebra)Position (finance)MathematicsPoint (geometry)GeometryVariable (mathematics)CombinatoricsMathematical analysisEconomicsFinanceComputability, Logic, AI AlgorithmsAlgorithms and Data CompressionImage and Object Detection Techniques
Machine Intelligence of Pi From Geometrical Figures With Variable Parameters Using SCILab | Litcius