Re: Using InterpolateRoot Function in Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg41145] Re: [mg41127] Using InterpolateRoot Function in Mathematica
- From: "Haritha Yalamanchili" <haritha12 at attbi.com>
- Date: Tue, 6 May 2003 05:54:07 -0400 (EDT)
- References: <8C4E0873828D210-958-F35@App2>
- Sender: owner-wri-mathgroup at wolfram.com
Hi Bobby, Thank you for the response. I did not enter the exact mathematica format, I only used the symbolic notation to explain the problem (sorry if this caused any confusion). Attached is the mathematica file I was using to solve for the arclength. deltay, beta and L0 are constants. Also L0 can be used as an initial guess for the root (L). I was able to solve this problem in another system, on one of my friends computer, but I would prefer to solve in Mathematica , as I am more comfortable using Mathamatica. Any help that you could provide is greatly appreciated. Thank You Prasad ----- Original Message ----- From: "Bobby Treat" <drmajorbob+MathGroup3528 at mailblocks.com> To: mathgroup at smc.vnet.net Subject: [mg41145] Re: [mg41127] Using InterpolateRoot Function in Mathematica > First, why write > > f(L) = Integrate[sqrt(1+z^2) dx] - L0 (Integration limits are from 0 to > L) > > if you mean > > f[L_]:= Integrate[sqrt(1+z^2),{z,0,L}] - L0 > > ?? > > This leaves me wondering if you entered that, or something else. The > possible errors you MIGHT have made are endless, so it would really > help if you just showed us the statement you entered. > > Secondly, what is L0? Another unknown? A parameter? > > Bobby > > -----Original Message----- > From: Haritha Yalamanchili <haritha12 at attbi.com> To: mathgroup at smc.vnet.net > To: mathgroup at smc.vnet.net > Sent: Sun, 4 May 2003 03:56:52 -0400 (EDT) > Subject: [mg41145] [mg41127] Using InterpolateRoot Function in Mathematica > > Hi, > > I am trying to use Mathematica to find a value of "L" that satisfies the > equation > > Integrate[sqrt(1+z^2) dx] - L0 = 0 (Integration limits are from 0 to L) > > where, > > z= -2 x(L C1 - 3 C2)/L^2 - 3 x^2(-L C1 + 2 C2)/L^3 > > In order to find the value of L that satisfies the above equation, I > have > setup the problem in Mathematica as shown below. Can some one help to > verify > if the problem is setup properly of if Mathematica is capable of > finding a > root for such functions. > > ****** > f(L) = Integrate[sqrt(1+z^2) dx] - L0 (Integration limits are from 0 to > L) > > InterpolateRoot[ f(L),{L,0,L0} ] > ******* > (L0=13, C1=0.12, C2=0.25) > > Value of L is close to L0 and hence, L0 can be used as the initial guess > value. > > Thank You and Best Regards > Prasad (*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 4.0, MathReader 4.0, or any compatible application. The data for the notebook starts with the line containing stars above. 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