Cubic form

In mathematics, a cubic form is a homogeneous polynomial of degree 3, and a cubic hypersurface is the zero set of a cubic form. In the case of a cubic form in three variables, the zero set is a cubic plane curve.

In (Delone & Faddeev 1964), Boris Delone and Dmitriĭ Faddeev showed that binary cubic forms with integer coefficients can be used to parametrize orders in cubic fields. Their work was generalized in (Gan, Gross & Savin 2002, §4) to include all cubic rings, giving a discriminant-preserving bijection between orbits of a GL(2, Z)-action on the space of integral binary cubic forms and cubic rings up to isomorphism.

单词	Cubic form
释义	Cubic form 英语百科 Cubic form In mathematics, a cubic form is a homogeneous polynomial of degree 3, and a cubic hypersurface is the zero set of a cubic form. In the case of a cubic form in three variables, the zero set is a cubic plane curve. In (Delone & Faddeev 1964), Boris Delone and Dmitriĭ Faddeev showed that binary cubic forms with integer coefficients can be used to parametrize orders in cubic fields. Their work was generalized in (Gan, Gross & Savin 2002, §4) to include all cubic rings, giving a discriminant-preserving bijection between orbits of a GL(2, Z)-action on the space of integral binary cubic forms and cubic rings up to isomorphism.
随便看	Stirrup jar的意思 stirrup jars的意思 Stirrup leather的意思 stirrupless的意思 stirrup link的意思 stirrup netting的意思 stirrup of compensation pattern的意思 Stirrup pants的意思 stirrup piece的意思 stirruppiece的意思 Stirrup pump的意思 stirruppump的意思 stirrup pumps的意思 stirrup ratio的意思 stirrup repair clamp的意思 stirrups的意思 stirrupshaped的意思 stirrup shaped loop electrode的意思 stirrup spacing的意思 stirrup strap的意思 stirrup trap的意思 stirrup type pedal的意思 stirrup valve的意思 stirrup wire的意思 stirrup with cord and hook,extension的意思