A generic effective Nullstellensatz Original Research Article

Kollar’s sharp effective Nullstellensatz, which is independent of the number of polynomials, is shown to be a generically pessimistic bound. A generic effective Nullstellensatz is proven. The generic bound is approximately inversely proportional to the number of polynomials; further, the bound is linear, rather than exponential, in the degrees of the polynomials. The generic effective Nullstellensatz provides for minimum required equalization filter orders in signal and image processing.