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MathGroup Archive 2004

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cubic equation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46965] cubic equation
  • From: tasande at MIT.EDU
  • Date: Thu, 18 Mar 2004 01:24:50 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

MATHGROUP:

I have had to solve the infamous CUBIC EQUATION only twice in the context of
the following problems:

( 1 ) The orbital dynamics of binary stars
( 2 ) Stellar core superadiabatic convection in the mixing length approxiamation

Tartaglia was the first to solve for the expressions of the three roots. Cardano
subsequently appropriated this historical claim.

For the most cogent derivation of these roots, please see Eric Weinsteins' 
article CUBIC EQUATION on mathworld.wolfram.com.

In my cases, D > 0.

TAS


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