AAPT Abstract Archive

Abstract Information

  Session: Other Paper
  Paper Type: Contributed
  Title: Fourier Series-based Methods for Computing the Value for π
  Meeting: 2016 Winter Meeting: New Orleans, Louisiana
  Location: N/A
  Time: 4:00PM
  Author: Joshua C. Fair, Socrates Preparatory School
970-481-5935, nealcg@gmail.com
  Co-Author(s): Samuel J. Konkol, Maura F. Gallagher, Brandon W. Mayle, Neal C. Gallagher, III
  Abstract: The function g(x) = arcsin(sin(x)) is a periodic function of triangular shape, having a Fourier series expansion. The triangle shaped function g(x) is easy to differentiate and integrate due to its trivial geometry. By evaluating the expression g(x) over different intervals on the x-axis and by performing differentiation and integration for g(x) as well as its term by term Fourier series, a number of series expansions related to ? can be obtained.
  Footnotes: 1. Additional author Nicolas M. Fair of Valencia Community College and Jason Cannon-Silber of Socrates Preparatory School. 2. Sponsored by Neal C. Gallagher, II, Ph.D.
  Presentation: Insights into the Computation for ?-Revisions.pdf

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