RE: capacitance of horned toroid

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: "Godfrey Loudner" <ggreen-at-gwtc-dot-net> 

Hello David

Maybe you don't know Mathematica notation. (-1)^(n+1) means
-1 raised to the n+1 power.

So (-1)^(1+1) = (-1)^(2) = (-1)(-1) = 1 and

    (-1)^(2+1) = (-1)^(3) = (-1)(-1)(-1) = -1.

Thanks, but I don't think I need MathCad. I don't
know if it has built in capacity to calculate
the zeros of Bessel functions. Mathematica uses
asymptotic formulas for large Bessel zeros to
make a guess, then refined by Newton's method. For
small Bessel zeros, large Bessel zeros are
iterated backward for a guess, then refined by
Newton's method.

Godfrey Loudner

 >After you posted that, I see your logic (except that n would be odd, not
 >even, since it is being increased by 1).  But I used MathCAD 2000 Pro to do
 >the calculations.  It doesn't matter if the exponent is positive or
negative
 >the result is still -1 when written as an exponent.  But when I type
 >in -1*-1 the answer comes out to +1.  I could send you a gif file to show
 >you if you are interested.  Perhaps MathCAD has a bug?

 >Dave