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catalecticant
In mathematical invariant theory, the catalecticant of a form of even degree is a polynomial in its coefficients that vanishes when the form is a sum of an unusually small number of powers of linear forms. It was introduced by ; see . The word catalectic refers to an incomplete line of verse, lacking a syllable at the end or ending with an incomplete foot.
==Binary forms==
The catalecticant of a binary form of degree 2''n'' is a polynomial in its coefficients that vanishes when the binary form is a sum of at most ''n'' powers of linear forms .
The catalecticant of a binary form can be given as the determinant of a catalecticant matrix , also called a Hankel matrix, that is a square matrix with constant (positive sloping) skew-diagonals, such as
:
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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