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GroebnerBasis::mnmord2 PolynomialReduce::mnmord2 GroebnerBasis`GroebnerWalk`GroebnerWalk::mnmord2 GroebnerBasis`DistributedTermsList::mnmord2

GroebnerBasis::mnmord2 PolynomialReduce::mnmord2 GroebnerBasis`GroebnerWalk`GroebnerWalk::mnmord2 GroebnerBasis`DistributedTermsList::mnmord2

Details

  • Generated when the value of the MonomialOrder option is a weight matrix and that weight matrix does not specify the order for all of the variables in the argument polynomials.
  • Off[message] switches off the message; On[message] switches it on. For example: Off[GroebnerBasis::mnmord2].

Examples

Basic Examples  (1)

An error occurs in this example because the weight matrix given as the value of the MonomialOrder option does not specify ordering for all of the variables.

Wolfram Language code: GroebnerBasis[{x y + 1, x ^ 2 + y z, z ^ 2 x ^ 2 + x + y}, {x, y, z}, MonomialOrder -> {{1, 0}, {0, 1}}]

This shows a valid weight matrix for these polynomials.

Wolfram Language code: GroebnerBasis[{x y + 1, x ^ 2 + y z, z ^ 2 x ^ 2 + x + y}, {x, y, z}, MonomialOrder -> {{1, 0, 0}, {0, 1, 0}, {0, 0, 1}}]