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Saturday, June 30, 2007

Macaulay 2

Today I installed Macaulay 2, 'software system devoted to supporting research in algebraic geometry and commutative algebra'.

Example 1: calculate (x+y)^2 in the polynomial ring Z[x,y].

i107 : R=ZZ[x,y]
o107 = R
o107 : PolynomialRing
i108 : (x+y)^2
        2           2
o108 = x  + 2x*y + y
o108 : R

Example 2: calculate (x+y)^2 in the polynomial ring Z/2[x,y].

i111 : R=ZZ/2[x,y]
o111 = R
o111 : PolynomialRing
i112 : (x+y)^2
        2    2
o112 = x  + y
o112 : R
Posted by at 11:02:00 PM
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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)