Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 3241

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 308477434 *}

i1 : R = ZZ/101[x,y,z];

i2 : f = x^3+3*y^2*z+2*z^3;

i3 : substitute(f,matrix{{-1,2,5}})

o3 = 309

i4 : substitute(f,{x=>-1,y=>2,z=>5})

o4 = 309

i5 : M = matrix{{x^2,x-y},{x-z,z^2},{y-z,y^2}}

o5 = | x2  x-y |
     | x-z z2  |
     | y-z y2  |

             3       2
o5 : Matrix R  <--- R

i6 : substitute(M,matrix{{-1,2,x+y}})

o6 = | 1      -3        |
     | -x-y-1 x2+2xy+y2 |
     | -x-y+2 4         |

             3       2
o6 : Matrix R  <--- R

i7 : I = ideal M

             2                        2   2
o7 = ideal (x , x - z, y - z, x - y, z , y )

o7 : Ideal of R

i8 : substitute(I,{x=>-1,y=>2})

                                      2
o8 = ideal (1, - z - 1, - z + 2, -3, z , 4)

o8 : Ideal of R

i9 :