1
$\begingroup$

Where can I find a formal definition of two multivariate identical polynomials?

In univariate polynomials, two are identical if the coefficients of the similar powered variables are equal. In multivariate polynomials I suppose that the monomials, which are composed of multiple variables, should be completely identical in powers, coefficients, and everything across the compared polynomials.

Am I correct?

Thanks

$\endgroup$
5
  • 1
    $\begingroup$ Yes, you are right. Essentially the same definition as in the one indeterminate case. $\endgroup$
    – André Nicolas
    Mar 13, 2016 at 2:50
  • $\begingroup$ Analogously to the single variate case, you set the terms of same variable and power equal to each other, determining that the coefficients are the same. $\endgroup$
    – operatorerror
    Mar 13, 2016 at 2:51
  • $\begingroup$ Thank you both! @AndréNicolas what's that indeterminate case? $\endgroup$
    – Manuel
    Mar 13, 2016 at 2:56
  • $\begingroup$ "Indeterminate" is a fancy word for what one informally calls "variable." $\endgroup$
    – André Nicolas
    Mar 13, 2016 at 3:00
  • $\begingroup$ Ok thanks. Very fancy indeed. $\endgroup$
    – Manuel
    Mar 13, 2016 at 3:05

0

Reset to default

You must log in to answer this question.

Browse other questions tagged .