degree -- the degree

degree -- the degree

degree X -- returns the degree of a polynomial, vector, matrix, monomial, or module.

The degree may be an integer, or a vector of integers. The length of that vector is referred to as the 'number of degrees', and is provided by degreeLength.

i1 : R = ZZ/101[x,y,z]



o1 = R



o1 : PolynomialRing

i2 : degree (x^2+y^2)^5



o2 = {10}



o2 : List

i3 : F = R^{2,3,4}



      3

o3 = R



o3 : R-module, free, degrees {-2, -3, -4}

i4 : v = F_2



o4 = <2>



      3

o4 : R

i5 : degree v



o5 = {-4}



o5 : List

The degree of a module of finite length is the same as its length.

i6 : degree cokernel symmetricPower ( 2, vars R )



o6 = 4

Implemented with a method of the same name.

Ways to use degree :

degree CC

degree ChainComplexMap

degree CoherentSheaf

degree GradedModuleMap

degree ProjectiveHilbertPolynomial

degree ProjectiveVariety