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

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]