Re: Manipulating list of functions

*To*: mathgroup at smc.vnet.net*Subject*: [mg96802] Re: [mg96316] Manipulating list of functions*From*: Syd Geraghty <sydgeraghty at me.com>*Date*: Wed, 25 Feb 2009 04:04:17 -0500 (EST)

Hi all, we recently had a thread regarding manipulating a list of functions which worked fine:- Manipulate[Block[{funcA, funcB, funcC, funcList}, funcA[z_] := Sin[z + a]; funcB[z_] := Cos[z + b]; funcC[z_] := funcA[z] + funcB[z]; funcList = #[x] & /@ {funcA, funcB, funcC}; Plot[Evaluate[funcList], {x, 1, 10}, Axes -> False, Frame -> True]], {a, 0, Pi}, {b, 0, Pi}] I have tried what I thought would be a trivial a variant of this for very simple functions: Manipulate[ Block[{initialinvestment, nbrshares, profit, totalofholding, funcList}, initialinvestment := 100000; nbrshares[buyprice_] := initialinvestment/buyprice; profit[buyprice_] := (finalprice - buyprice)*nbrshares; totalofholding := profit + initialinvestment; funcList := #[x] & /@ {nbrshares, initialinvestment, profit, totalofholding}; Plot[Evaluate[funcList], {x, 4, 7}, Axes -> False, Frame -> True, PlotRange -> {0, 650000}]], {finalprice, 16, 24, 1}] However I only get the nbrshares plotted, after several attempts I cannot get the desired output and would appreciate advice as to why the simpler function specifications lead to failure. It appears that unless the functions all contain explicit references such as to "z" in the first working example then they are omitted. Thanks in advance ... Syd Syd Geraghty B.Sc, M.Sc. sydgeraghty at mac.com Mathematica 7.0.0 for Mac OS X x86 (64 - bit) (21st November, 2008) MacOS X V 10.5.6 MacBook Pro 2.33 GHz Intel Core 2 Duo 2GB RAM