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Topic: How to define the dimension of an equation in n variables?
Replies: 4   Last Post: Aug 21, 2013 3:49 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: How to define the dimension of an equation in n variables?
Posted: Aug 17, 2013 4:27 AM
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In article <1d32712b-7275-47a6-87d3-27e46db63673@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.
--





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