MT)C LT)C M{}C L{}C Md DAU : Chuang - L Y THUYETKHU',SYZYGYvA BAI ToAN AN HOA Chuang - TONG QUAN 2.1 2.2 K ' " / ~ Ly th uyet kh liva b al toan an h oa ? / / 2.1.1 KSt thuc va bai tmin :in hoa 10 2.1.2 Ca sd Grabner va bai toan :in hoa 13 " / ~ Syzygy va' b al toan an h oa 15 / 2.2.1 Syzygy va phuong trlnh duong cong va m~t tham s6 huu ty 17 2.2.2 f-L-casd cua duong cong va m~t tham s6huu ty Chuang 19 - cAc THUAT ToAN AN HOA DUONG CONG VA MA.T - K ? THAMso HUUTY 23 3.1 K ~ 23 Th u~t toan an h oa VOl k et th lie 3.2 Thu~t toan :in hoa voi ca sd Groebner 26 3.3 Thu~t toan :in hoa voi m6dun syzygy 27 A / / ~ / ~ ? 3.3.1 An hoa duong cong tham s6 huu ty phiing 28 ~ 3.4 3.3.2 An hoa m~t tham s6 huu ty 28 ~ van h gla cae p huang p h ap an h oa 30 3.4.1 DQ phuc t~p cua cae thu~t toan 31 3.4.2 KSt qua daub gia thlfc nghit%m 33 n / / / / / Chuang - KET LUAN A Phl,lll,lc A 37 , , A ~ ? K - THUAT TOAN TINH BAC AN CUA DANG THAM SO Phl,lll,lc B - cAc THUAT ToAN Cd BANVE MA TRANDATHUC A" C - THUA T TOAN XAC DJNH p,-CddS Phl,lIl,lC D - CAC PH u'd NG TRINH MAT Hu U TY 'A ' ~ T-" 42 ? Phl,lIl,lC , 40 49 ? 56 ? TAl LI~U THAM KHA '" " ." "'" 59 ...2 Chuang - KET LUAN A Phl,lll,lc A 37 , , A ~ ? K - THUAT TOAN TINH BAC AN CUA DANG THAM SO Phl,lll,lc B - cAc THUAT ToAN Cd BANVE MA TRANDATHUC A" C - THUA T TOAN XAC DJNH p,-CddS... Phl,lIl,lC D - CAC PH u'd NG TRINH MAT Hu U TY 'A ' ~ T-" 42 ? Phl,lIl,lC , 40 49 ? 56 ? TAl LI~U THAM KHA '" " ." "'" 59