Session:
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Other Paper
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Paper Type:
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Contributed
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Title:
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Fourier Series-based Methods for Computing the Value for π
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Meeting:
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2016 Winter Meeting: New Orleans, Louisiana |
Location:
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N/A |
Date:
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Time:
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4:00PM
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Author:
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Joshua C. Fair, Socrates Preparatory School
970-481-5935, nealcg@gmail.com
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Co-Author(s):
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Samuel J. Konkol, Maura F. Gallagher, Brandon W. Mayle, Neal C. Gallagher, III
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Abstract:
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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.
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Footnotes:
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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.
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Presentation:
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Insights into the Computation for ?-Revisions.pdf
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