monomial order造句
例句與造句
- The monomial order implies an order on the individual indeterminates.
- With this convention there are still many examples of different monomial orders.
- In particular, the property of " being " a Gr鯾ner basis is always relative to a specific monomial order.
- For example, consider the monomials xy ^ 2z, z ^ 2, x ^ 3, and x ^ 2z ^ 2; the monomial orders above would order these four monomials as follows:
- Many of the main algorithms for multivariate polynomials are related with Gr鯾ner bases, concept that requires the choice of a monomial order, that is a total order, which is compatible with the monoid structure of the monomials.
- It's difficult to find monomial order in a sentence. 用monomial order造句挺難的
- There are also three algorithms for converting a Gr鯾ner basis with respect to one monomial order to a Gr鯾ner basis with respect to a different monomial order : the FGLM algorithm, the Hilbert Driven Algorithm and the Gr鯾ner walk algorithm.
- There are also three algorithms for converting a Gr鯾ner basis with respect to one monomial order to a Gr鯾ner basis with respect to a different monomial order : the FGLM algorithm, the Hilbert Driven Algorithm and the Gr鯾ner walk algorithm.
- If is the number of variable, every monomial order is thus the restriction to \ Bbb N ^ n of a monomial order of \ Bbb Z ^ n ( see above \ Bbb Z ^ n, for a classification ).
- If is the number of variable, every monomial order is thus the restriction to \ Bbb N ^ n of a monomial order of \ Bbb Z ^ n ( see above \ Bbb Z ^ n, for a classification ).
- The leading term of the product is the product of the leading terms of each factor ( this is true whenever one uses a monomial order, like the lexicographic order used here ), and the leading term of the factor is clearly.
- One can simplify the classification of monomial orders by assuming that the indeterminates are named " x " 1, " x " 2, " x " 3, . . . in decreasing order for the monomial order considered, so that always . ( If there should be infinitely many indeterminates, this convention is incompatible with the condition of being a well ordering, and one would be forced to use the opposite ordering; however the case of polynomials in infinitely many variables is rarely considered . ) In the example below we shall use " x " instead of " x " 1, " y " instead of " x " 2, and " z " instead of " x " 3.
- One can simplify the classification of monomial orders by assuming that the indeterminates are named " x " 1, " x " 2, " x " 3, . . . in decreasing order for the monomial order considered, so that always . ( If there should be infinitely many indeterminates, this convention is incompatible with the condition of being a well ordering, and one would be forced to use the opposite ordering; however the case of polynomials in infinitely many variables is rarely considered . ) In the example below we shall use " x " instead of " x " 1, " y " instead of " x " 2, and " z " instead of " x " 3.