# Difference between revisions of "ApCoCoA-1:NC.Deg"

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<see>NC.LT</see> | <see>NC.LT</see> | ||

<see>NC.LTIdeal</see> | <see>NC.LTIdeal</see> | ||

+ | <see>NC.MRAdd</see> | ||

+ | <see>NC.MRBP</see> | ||

+ | <see>NC.MRIntersection</see> | ||

+ | <see>NC.MRKernelOfHomomorphism</see> | ||

+ | <see>NC.MRMinimalPolynomials</see> | ||

+ | <see>NC.MRMultiply</see> | ||

+ | <see>NC.MRReducedBP</see> | ||

+ | <see>NC.MRSubtract</see> | ||

<see>NC.MinimalPolynomial</see> | <see>NC.MinimalPolynomial</see> | ||

<see>NC.Multiply</see> | <see>NC.Multiply</see> | ||

<see>NC.NR</see> | <see>NC.NR</see> | ||

+ | <see>NC.ReducedBP</see> | ||

+ | <see>NC.ReducedGB</see> | ||

<see>NC.SetFp</see> | <see>NC.SetFp</see> | ||

<see>NC.SetOrdering</see> | <see>NC.SetOrdering</see> | ||

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<see>NC.UnsetRules</see> | <see>NC.UnsetRules</see> | ||

<see>NC.UnsetX</see> | <see>NC.UnsetX</see> | ||

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− | |||

− | |||

− | |||

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<see>Introduction to CoCoAServer</see> | <see>Introduction to CoCoAServer</see> | ||

</seealso> | </seealso> |

## Revision as of 12:31, 12 October 2010

## NC.Deg

(Standard) degree of a polynomial over a free associative K-algebra.

### Syntax

NC.Deg(F:LIST):INT

### Description

*Please note:* The function(s) explained on this page is/are using the *ApCoCoAServer*. You will have to start the ApCoCoAServer in order to use it/them.

Before calling the function, please set ring environment alphabet `X` through the functions NC.SetX(X).

@param

*F*: a polynomial in`K<X>`. Each polynomial in`K<X>`is represented as a LIST of LISTs, which are pairs of form [c, w] where c is in`K`and w is a word in`X*`. Unit in`X*`is empty word represented as an empty STRING "".`0`polynomial is represented as an empty LIST []. For example, polynomial`F:=xy-y+1`in`K<x,y>`is represented as F:=[[1,"xy"], [-1, "y"], [1,""]].@return: a INT which is (standard) degree

`F`. If`F=0`, then return`0`.

#### Example

NC.SetX(<quotes>abc</quotes>); F:=[[1,<quotes>ab</quotes>],[2,<quotes>aa</quotes>],[3,<quotes>bb</quotes>],[4,<quotes>bab</quotes>]]; NC.Deg(F); 3 ------------------------------- NC.Deg([]); -- 0 polynomial 0 -------------------------------

### See also