Examples
- -2 = -<2N, 0N> = <0N, 2N>.
- (-2)+1 = (-<2N, 0N>) +
<1N, 0N>
= <0N, 2N> + <1N, 0N> =
I(0N+1N, 2N+0N) =
I(1N, 2N) = <0N, 1N> =
-<1N, 0N> = -1.
- 2*3 = <2N, 0N> * <3N, 0N> =
I((2N *N 3N) + (0N *N
0N), (2N *N 0N) + (3N *N
0N)) = I(6N, 0N) = <6N, 0N> = 6.
- (-2)*3 = (-
<2N, 0N>) * <3N, 0N> =
<0N, 2N> * <3N, 0N> =
I((0N *N 3N) + (2N *N
0N), (0N *N 0N) + (2N *N
3N)) = I(0N, 6N) = <0N, 6N> =
-<6N, 0N> = -6.
Substituting and evaluating the definitions.
Author: Wolfgang Schreiner
Last Modification: November 16, 1999