Talk:Multidimensional system

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Factorisation in ring of m-D polynomials

Latest comment: 11 years ago2 comments2 people in discussion

The article says "the fundamental theorem of algebra does not exist in the ring of m-D (m > 1) polynomials". If "m-D (m > 1) polynomials" means polynomials in more than one variable with real coefficients, then I don't think this is true - isn't $\mathbb {R} [X_{1},X_{2},...,X_{n}]$ a unique factorisation domain ? It would be helpful to see an example to support this claim. Gandalf61 (talk) 11:21, 14 March 2010 (UTC)Reply

The fundamental theorem of algebra asserts that any polynomial can be factored into first-order polynomials, which is stronger than the assertion of a unique factorization. Thus the article is correct in its statement Roesser (talk) 00:46, 13 May 2013 (UTC)Reply

Typo in first sentence?

The first sentence currently reads:

In mathematical systems theory, a multidimensional system or m-D system is a system in which not only one dependent variable exists (like time), but there are several independent variables.

Shouldn't it read:

In mathematical systems theory, a multidimensional system or m-D system is a system in which not only one independent variable exists (like time), but there are several independent variables.

Time is the independent variable in a dynamical system and the system state is the dependent "variable" (which may be composed of many "state variables").

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