Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 2786

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 1744424136 *}

i1 : R = ZZ/101[a,b,c,Degrees=>{{1,2},{2,1},{1,0}}]

o1 = R

o1 : PolynomialRing

i2 : describe R

      ZZ
o2 = ---[a..c, Degrees => {{1}, {2}, {1}}, Heft => {1, 0}, MonomialOrder => {MonomialSize => 32  }, DegreeRank => 2]
     101                   {2}  {1}  {0}                                    {GRevLex => {1..2, 1}}
                                                                            {Position => Up      }

i3 : degree a

o3 = {1, 2}

o3 : List

i4 : degree b^2

o4 = {4, 2}

o4 : List

i5 : degree 0_R

o5 = -infinity

o5 : InfiniteNumber

i6 : degree 1_R

o6 = {0, 0}

o6 : List

i7 : random({15,15},R)

          5 5      6 3 3      7   6
o7 = - 40a b  - 34a b c  + 19a b*c

o7 : R

i8 : degree (a+b)

o8 = {2, 2}

o8 : List

i9 : degreeLength R

o9 = 2

i10 : degreeLength ZZ

o10 = 0

i11 : R = QQ[a,b,c,Degrees=>{{1,0},{-2,1},{-3,1}}];

i12 : random({1,1},R)

      4 3    1 4
o12 = -a b + -a c
      5      7

o12 : R

i13 : basis({1,1},R)

o13 = | a4c a3b |

              1       2
o13 : Matrix R  <--- R

i14 : (options R).Heft

o14 = {1, 4}

o14 : List

i15 :