Canonizant

In mathematical invariant theory, the canonizant or canonisant is a covariant of forms related to a canonical form for them.

Canonizants of a binary form

The canonizant of a binary form of degree 2n  1 is a covariant of degree n and order n, given by the catalecticant of the penultimate emanant, which is the determinant of the n by n Hankel matrix with entries ai+jx + ai+j+1y for 0  i,j < n.

gollark: I have a diacriticizer which is *great* for adding that "insane" feel to messages.
gollark: țh̬érͬe̹ ̞ȋs̗ ͂ño̿ ̋h̙ōpͧe̺ ͒f͌òr̋ ̑m̴e̗ ̳n҉ơw̑.̿
gollark: t̬̲̆h̸͍̾e̺̯͌ ̸̭́m̢͖̾a̜͔ͪd̀͑ͪn̺̆͐҉ȩ̯͝s̨ͦ̔s̼͔͛ ̠͋͝-̯ͤ͂҉͚ ̢̟ͭi̹̲͟t͛̈́̿ ̸̠͆s̷̲̗p̢͔͘r̭͏̥҉̱̤ͯe̶̞̳a̧̤͡d̺̈͠s͏̇͊
gollark: gaaah hhh MY BRAIN MY BRAIN
gollark: It won't magically become a server because you moronically try and build in JSP support.

References

  • Elliott, Edwin Bailey (1913) [1895], An introduction to the algebra of quantics. (2nd ed.), Oxford. Clarendon Press, JFM 26.0135.01
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.