Services & ResourcesWolfram ForumsMathGroup Archive

[Date Index] [Thread Index] [Author Index]

Re: Re: Arctangent approximation

• To: mathgroup at smc.vnet.net
• Subject: [mg107593] Re: [mg107578] Re: [mg107560] Arctangent approximation
• From: Louis Talman <talmanl at gmail.com>
• Date: Fri, 19 Feb 2010 03:32:48 -0500 (EST)
• References: <201002171202.HAA21864@smc.vnet.net> <201002181015.FAA28477@smc.vnet.net>

On Feb 18, 2010, at 3:15 AM, Murray Eisenberg wrote:

> I'll buy the first four terms of the approximation but not the fifth.
> What you seem to have here are the first 10 terms -- the first 5  
> nonzero
> terms -- of the Taylor expansion of ArcTan[x] around 0.

In fact, the polynomial given by Medina is a better approximation to  
the arctangent function---at least, roughly, when 0.2 < |x| < 1---than  
the degree 9 Maclaurin polynomial.  See Medina's paper for an idea of  
what he was up to.


--Lou Talman
   Department of Mathematical and Computer Sciences
   Metropolitan State College of Denver

  <http://rowdy.mscd.edu/%7Etalmanl>

• Follow-Ups:
  • Re: Re: Re: Arctangent approximation
    • From: Murray Eisenberg <murray@math.umass.edu>

• References:
  • Arctangent approximation
    • From: sidey <sidey.p.timmins@census.gov>
  • Re: Arctangent approximation
    • From: Murray Eisenberg <murray@math.umass.edu>