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- ...this topic, we assume that the reader is familiar with the concept of term orderings on polynomial rings. ...<math>t_1 \leq_\sigma t_2</math>. Then <math>\sigma</math> is called a '''term ordering''' on '''''T(P)''''' iff it is multiplicative, i.e. <math>t_1 \leq8 KB (1,311 words) - 11:26, 14 February 2021
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- <short_description>matrices for std. term-orderings</short_description> This function return the matrix defining a standard term-ordering.650 bytes (66 words) - 10:02, 24 October 2007
- <short_description>matrices for std. term-orderings</short_description> This function return the matrix defining a standard term-ordering.584 bytes (59 words) - 10:02, 24 October 2007
- <short_description>matrices for std. term-orderings</short_description> This function return the matrix defining a standard term-ordering.593 bytes (59 words) - 10:02, 24 October 2007
- <short_description>matrices for std. term-orderings</short_description> This function return the matrix defining a standard term-ordering.604 bytes (61 words) - 10:02, 24 October 2007
- <short_description>matrices for std. term-orderings</short_description> not a term-ordering!).620 bytes (67 words) - 10:02, 24 October 2007
- <short_description>matrix defining a term-ordering</short_description> The first two forms return matrices which describe the term-ordering2 KB (207 words) - 10:02, 24 October 2007
- <short_description>check if a matrix defines a term-ordering</short_description> This function determines whether a square matrix defines a term-ordering,754 bytes (78 words) - 10:02, 24 October 2007
- <short_description>the leading term of an object</short_description> If E is a polynomial this function returns the leading term of the2 KB (288 words) - 10:02, 24 October 2007
- *[[HowTo:Term Orderings]]: A Description of how term orderings are handeled in ApCoCoA.864 bytes (119 words) - 09:11, 29 October 2020
- used when constructing a ring (see <ttref>Orderings</ttref> and <ref>Predefined Term-Orderings</ref>).2 KB (260 words) - 10:02, 24 October 2007
- This method creates a new PPMonoidModSquares with the given symbols and a term ordering (either Lex,DegRevLex or DegLex) ...ings are isomorphic, although the representing matrices differ. also a lex term ordering with z<x<y (or other permutations or similar variations of DegLex2 KB (349 words) - 15:42, 21 October 2007
- <short_description>Matrix corresponding to predefined differential term orderings.</short_description> This function returns the matrix corresponding to the indicated term ordering <tt>D</tt>.1 KB (238 words) - 13:29, 29 October 2020
- ...this topic, we assume that the reader is familiar with the concept of term orderings on polynomial rings. ...<math>t_1 \leq_\sigma t_2</math>. Then <math>\sigma</math> is called a '''term ordering''' on '''''T(P)''''' iff it is multiplicative, i.e. <math>t_1 \leq8 KB (1,311 words) - 11:26, 14 February 2021
- <see>HowTo:Term Orderings</see>2 KB (265 words) - 13:21, 29 October 2020
- <see>HowTo:Term Orderings</see>2 KB (278 words) - 13:21, 29 October 2020
- <see>HowTo:Term Orderings</see>2 KB (271 words) - 13:21, 29 October 2020
- ...The order of letters in <tt>X</tt> is important since it will induce word orderings on the free monoid <tt><X></tt> (see NCo.SetOrdering). The alphabet <tt>X</ (c.1) Each word (term) in the free monoid <tt><X></tt> is represented as a STRING with all letter59 members (0 subcategories, 0 files) - 15:17, 2 October 2020
- ...s of Hilbert function (via HF(Gb)), compute generating systems for leading term ideals, kernel of <tt>K</tt>-algebra homomorphism, intersection of ideals, ...s a well-ordering that is compatible with multiplication. One can set word orderings via the function24 members (0 subcategories, 0 files) - 15:17, 2 October 2020
- The leading word (or term) of a polynomial in a finitely presented monoid ring. ...y letter in X MUST appear only once.The order of letters in X induces word orderings.</item>3 KB (524 words) - 13:42, 29 October 2020
- orderings, gradings... M := $cocoa5.AddParamOrdMat(DegRevLexMat(3), 1); // compatible Term Ordering4 KB (504 words) - 10:02, 24 October 2007