Of course it was the usual spam, offering some drugs to increase the size of something nature didn't provide me with in the first place, but the subject line of the mail was enough to pique my interest and get me to open it in the first place. "Nullstellensatz".

Which, for the math illiterati, Hilbert's Nullstellensatz is the fundamental theorem that asserts that if F is an

algebraically closed field, and f; g*1*;... ;g*m* are polynomials in the ring of polynomials F[x*1*; ... ;x*n*],

where f vanishes over all common zeros of g*1*; ...;g*m*, then there is an integer k and polynomials

h*1*; ...;h*m* in F[x*1*;...;x*n*] so that

f*k* =n

X h*i*g*i*:

*i*=1

In the special case m = n, where each g*i* is a univariate polynomial of the form Q*s*2S*i*(x*i* - s), a stronger conclusion holds.

So, I guess, I can understand how that relates to member-enlarging lotions and such, but I still think the title was a little misleading.

Posted by paulette at January 9, 2004 03:29 PM | TrackBackComments

Wow, that takes me back. There was a time when I knew exactly what that meant. Sigh...

Posted by: david on January 9, 2004 03:44 PMPost a comment