Virgil
Posts:
8,833
Registered:
1/6/11


Re: How to define the dimension of an equation in n variables?
Posted:
Aug 17, 2013 4:27 AM


In article <1d32712b727547a687d327e46db63673@googlegroups.com>, Kobu <kobu.selva@gmail.com> wrote:
> f(x,y,z) = 0 is often a 2 dimensional object. > > A system of two such equations is often a one dimensional object. > > This relationship is "usually" true: > > (# of variables)  (# equations) = (dimension of the system of those eqns.) > > > How does one make all this exact (that is, without the "often" and "usually"? >
Other than on a case by case basis, one often doesn't. 

