Re: Series Simplification - how to truncate the result ?
- To: mathgroup at smc.vnet.net
- Subject: [mg127678] Re: Series Simplification - how to truncate the result ?
- From: Rahul Chakraborty <rahul.6sept at gmail.com>
- Date: Tue, 14 Aug 2012 04:25:02 -0400 (EDT)
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Dear all,
I used Take command, but its not giving result.
code as follows:
(* Formula: Subscript[F, e](x,t) = 1/2 (Subscript[C, 0] Subscript[d, 0])/(Subscript[d, 0]-x)^2*Subscript[V, 1]^2(t) - 1/2 (Subscript[C, 0] Subscript[d, 0])/(Subscript[d, 0]+x)^2*Subscript[V, 2]^2 *)
Clear[x,t,f];
c=4.06*(10^-4);
V[t]=Sqrt[2]*Subscript[V, p]*Sin[2Subscript[\[Omega], 0]t];
Subscript[V, 1][t] = 1+(c*V[t]);
r1 =Take[{Series[Subscript[V, 1][t],{1,(c*V[t]),2}]},2];
Subscript[V, 2] = 1;
z = (Subscript[d, 0]-x)^2;
y = Take[{Series[z,{Subscript[d, 0],0,2}]},2]; (* Taylor expansion at x=0 *)
z1 = (Subscript[d, 0]+x)^2;
y1 = Take[{Series[z1,{Subscript[d, 0],0,2}]},2]; (* Taylor expansion at x=0 *)
a = 1/2*((Subscript[C, 0]*Subscript[d, 0])/y)*r1 //Simplify;
b = 1/2*((Subscript[C, 0]*Subscript[d, 0])/y1)*(Subscript[V, 2]^2) //Simplify;
Subscript[F, e][x,t] =a-b
Kindly advice.
Regards,
rahul