THIS PAGE IS DEVOTED TO SOME RESULTS IN CLIFFORD ANALYSIS and related topics
last update: January, 5th 2006
for any question on this site or any of the CoAlA webpages, please contact adamiano@gmu.edu
| variables |
multiplicity | IDEAL |
CPU TIME (CoCoA 4.5 on Toshiba Sat. 2455) - 3.4 from [DSS], following an idea of [MMM] - (40) from [Ob96], using linear algebra - 3.8 from [DSS], using forward reduction - 3.17 from [DSS], using backward reduction |
OPERATORS |
| 2 |
4 |
(x^2-y ,y^2) |
0.75'' 0.14'' 0.37'' 0.08'' |
1 , dx , dx^2+dy , dx^3+dxdy |
| 2 |
8 |
(x^4-xy-y,
y^2) |
8.31'' 0.90'' 0.28 '' 0.15'' |
1 , dx , dx^2 , dx^3 , dx^4+dy , dx^5+dx^4+dxdy , dx^6+dx^5+dx^2dy , dx^7+dx^6+dx^3dy |
| 2 |
9 |
(x^3-y, y^3) |
2' 9'' 1.53'' 0.34'' 0.22'' |
1 , dx , dx^2 , dx^3+dy , dx^4+dxdy , dx^5+dx^2dy , dx^6+dx^3dy+dy^2 , dx^7+dx^4dy+dxdy^2 , dx^8+dx^5dy+dx^2dy^2 |
| 3 |
8 |
(x^2-z,
y^2-z, z^2) |
12' 9.18'' 0.99'' 0.19'' |
1 , dy , dx , dxdy , dx^2+dy^2+dz , dx^2dy+dy^3+dydz , dx^3+dxdy^2+dxdz , dx^3dy+dxdy^3+dxdydz |
| 3 |
4 |
(x^2-ty ,y^2) |
dim(I)>0 dim(I)>0 0.64'' not yet
available |
1 , dx , tdx^2+dy , tdx^3+dxdy |
| 4 |
8 |
(x^4-txy-sy,
y^2) |
dim(I)>0 dim(I)>0 2.61'' not yet
available |
1 , dx , dx^2 , dx^3 , sdx^4+dy , sdx^5+tdx^4+dxdy , sdx^6+tdx^5+dx^2dy , sdx^7+tdx^6+dx^3dy |
| 5 |
8 |
(x^2-tz,
y^2-sz, z^2) |
dim(I)>0 dim(I)>0 12.73'' not yet
available |
1 , dy , dx , dxdy , sdy^2+tdx^2+dz , sdy^3+tdx^2dy+dydz , sdxdy^2+tdx^3+dxdz , sdxdy^3+tdx^3dy+dxdydz |