Newton Iteraon Based π CalculaonPresentation1.pptx Author: Neal Gallagher Created Date: 1/3/2016...
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Newton Itera+on Based π Calcula+on Jason Cannon-Silber, Neal C. Gallagher III, Maura F. Gallagher, Brandon W. Mayle, Joshua C. Fair, Nicolas M. Fair, Samuel J. Konkol Socrates Preparatory School www.socprep.org
Transcript of Newton Iteraon Based π CalculaonPresentation1.pptx Author: Neal Gallagher Created Date: 1/3/2016...
NewtonItera+onBasedπCalcula+on
JasonCannon-Silber,NealC.GallagherIII,MauraF.Gallagher,BrandonW.
Mayle,JoshuaC.Fair,NicolasM.Fair,SamuelJ.Konkol
SocratesPreparatorySchoolwww.socprep.org
Newton’sMethod
Findx>0wheresin(x)=0
OurImprovement
RapidConvergence
• x0=2.0• x1=2.90929743• x2=3.13950913• x3=3.141592653.1415926535897932384626433832795028842
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xn+1 = xn + sin(xn )
TryThisonYourCalculator
Forπ/2≤x≤3π/2
π=x+arcsin(sin(x))
y=arcsin(sin(x))
