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Groups > comp.soft-sys.math.maple > #218
| From | "I.N. Galidakis" <morpheus@olympus.mons> |
|---|---|
| Newsgroups | comp.soft-sys.math.maple |
| Subject | Plot problem with function |
| Date | 2011-07-28 22:09 +0300 |
| Organization | Chaos ->|<- http://ioannis.virtualcomposer2000.com/ |
| Message-ID | <1311880181.170189@athprx04> (permalink) |
I am having some problems with Maple 9 when plotting a certain function. The
function is:
> HW:=proc()
> local y,n,c,s,p,sol,i,aprx,dy,dist,r,oldr,newr,fun,dfun,eps;
> if nargs<2 then ERROR("At least two arguments required.") fi;
> n:= args[-1];y:=args[-2];c:= [args[1..-3]];
> if y=0 then 0 else
> dist:=infinity;
> eps:=1e-32;
> fun:= 1;
> for i from 1 to nargs-2 do fun:= exp(c[i]*fun) od;
> fun:= z*fun-y;
> dfun:=diff(fun,z);
> s:=series(fun,z,n);
> p:=convert(s,polynom);
> sol:={fsolve(p=0,z,complex)}; #complex?
> for i from 1 to nops(sol) do
> aprx:=evalf(subs(z=op(i,sol),fun));
> dy:=evalf(abs(aprx));
> if dy<=dist then r:=op(i,sol);dist:=dy;fi;
> od;
> #start Newton with approximate zero found.
> oldr:=r;
> newr:=r-evalf(subs(z=r,fun)/subs(z=r,dfun));
> for i from 1 to 1000 while (abs((oldr-newr)/oldr)>eps) do
> oldr:=newr;
> newr:=newr-evalf(subs(z=newr,fun)/subs(z=newr,dfun));
> od;
> newr;
> fi;
> end:
When I try to plot it (in this case the arguments make it equivalent to arcsin)
I get:
> with(plots):
> plot(HW(log(sin(z)/z),y,10),y=-1..1);
Error, (in fsolve) y is in the equation, and is not solved for
while if I do a:
> N:=50;x1:=-1;x2:=1;
> x:=n->x1+abs(x2-x1)/N*n;
> L:=[seq([x(n),HW(log(sin(z)/z),x(n),10)],n=0..N)]:
> plot(L,scaling=constrained);
It works (shows the graph of arcsin).
Individual values seem to be calculated correctly. For example:
> HW(log(sin(z)/z),0.245,10);
.247519692533815916885429116210
Does anyone know why the plot command doesn't work with this function?
Many thanks,
--
I.
Back to comp.soft-sys.math.maple | Previous | Next — Next in thread | Find similar
Plot problem with function "I.N. Galidakis" <morpheus@olympus.mons> - 2011-07-28 22:09 +0300
Re: Plot problem with function Joe Riel <joer@san.rr.com> - 2011-07-28 12:18 -0700
Re: Plot problem with function "I.N. Galidakis" <morpheus@olympus.mons> - 2011-07-29 00:11 +0300
Re: Plot problem with function Joe Riel <joer@san.rr.com> - 2011-07-28 14:31 -0700
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