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MathGroup Archive 2005

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Re: Area Under Curve (Min Length Interval)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53945] Re: Area Under Curve (Min Length Interval)
  • From: "Valeri Astanoff" <astanoff at yahoo.fr>
  • Date: Sat, 5 Feb 2005 03:14:57 -0500 (EST)
  • References: <ctqdm2$sd3$1@smc.vnet.net><ctrn4v$bpt$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Proof with Mathematica that your approach was the right one:

Minimize (b-a) under the constraint F[b]-F[a] == c

In[1]:= lagrangian = (b-a) + lambda(F[b] - F[a] - c);

In[2]:= Eliminate[D[lagrangian,a] == 0 && D[lagrangian,b] == 0, lambda]

Out[2]= F'[b] == F'[a]


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