Online Encyclopedia

A2 (z)

Online Encyclopedia
Originally appearing in Volume V01, Page 637 of the 1911 Encyclopedia Britannica.
Spread the word: del.icio.us del.icio.us it!
A2 (z) z2—Ai 4z/ , where = 1 A2(z) —az2.1—a2' and this is the red'iced generating function which tells us, by its denominator factors, that the complete system of the quadratic is composed of the form itself of degree order I, 2 shown by az2, and of the Hessian of degree order 2, o shown by a2. Again, for the cubic, we can find Aa(z) 1 —aez6 1—az2 .1—a2z2.1—a2z2 .1—a*, where the ground forms are indicated by the denominator factors, viz.: these are the cubic itself of degree order I, 3; the Hessian of degree order 2, 2; the cubi-covariant G of degree order 3, 3, and the quartic invariant of degree order 4, o. Further, the numerator factor establishes that these are not all algebraically independent, but are connected by a syzygy of degree order 6, 6. Similarly for the quartic
End of Article: A2 (z)
[back]
A1A
[next]
A4 (Z)

Additional information and Comments

There are no comments yet for this article.
» Add information or comments to this article.
Please link directly to this article:
Highlight the code below, right click and select "copy." Paste it into a website, email, or other HTML document.