NO JOY MEANS I GOT WAY OFF THE EXPECTED VALUE
meek@skyway.usask.ca wrote:
> In a previous article, "oogunlade@hotmail.com" <oogunlade@hotmail.com> wrote:
> >Hi, I want to integrate a function f(z) along an hyperbola in the
> >complex plane from point a(x1,y1) to b(x2,y2). The equation of the
> >hyperbola is x*y=c where c is a known constant.
> >I have tried parametric form x=c/t ; y=t where t is a parmetization of
> >my contour. The limits of t hence are y1 to y2 . hence z(t) becomes(c/t
> >+ i*t) and dz(t)=(i- c/t^2)dt.(i.e z'(t)dt)
> >
> >Hence my integral becomes integration: int [f(z)dz)] along the
> >hyperbola becomes int[ f{z(t)}z'(t)dt ]
> >
> >I have done then used reimans sum to compute my integral but no joy.
> >Can anyone please tell me how to proceed or what I have done wrong or
> >any better easier ways.
> >
> "No joy" is a little vague. Do you mean the program crashed
> or that you know the right answer and didn't get it ... or ?
> Maybe you want to integrate along ds =sqrt(dx^2+dy^2) ?
> Chris