Page ChebyshevTest.shtml offers two java applets that do not run on any reasonable security setting of IE8, even if I list your site as a trusted internet site. It claims that it cannot verify the publisher of the classes file. You probably neglected to apply a digital signature to your work.

That is true. I never bothered with digital signatures. In IE8 I use "High-Medium" security selection, have a firewall and Norton's suite on my computer and feel very much protected.

http://www.cut-the-knot.org/pics/Chebyshev.jpg