Re: How to apply a function to a function multiple times

*To*: mathgroup at smc.vnet.net*Subject*: [mg73470] Re: [mg73457] How to apply a function to a function multiple times*From*: luhao <luhaorice at gmail.com>*Date*: Sun, 18 Feb 2007 06:14:34 -0500 (EST)*References*: <200702171002.FAA26271@smc.vnet.net>

Peng Yu wrote: > Hi, > > I have the following code. > > iterater[hPrev_] := Integrate[Sqrt[1 + Derivative[1, 0][hPrev][x, t]^2], t]*v[x] > h0[x_,t_]:=0 > h1[x_,t_]:=iterater[h0] > h2[x_,t_]:=iterater[h1] > h3[x_,t_]:=iterater[h2] > > > I want to code another function, > fun[h0_,v_,n_] > where n is the times "iterator" has been applied. > fun[h0,v,3] should give me h3[x_,t_] defined above. > > fun[h0,v,4] should give me iterator[h3]. > > Can you show me how to do it? > > Thank, > Peng > > I believe Nest[] is what you want. Hao

**References**:**How to apply a function to a function multiple times***From:*"Peng Yu" <pengyu.ut@gmail.com>