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A2(z)

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Originally appearing in Volume V01, Page 637 of the 1911 Encyclopedia Britannica.
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A2(z) z2—Ai 4z/ , where = 1 A2(z) —az2.1—a2' and this is the red'iced generating See also:function which tells us, by its denominator factors, that the See also:complete See also:system of the quadratic is composed of the See also:form itself of degree See also:order I, 2 shown by az2, and of the See also: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 See also:factor establishes that these are not all algebraically See also:independent, but are connected by a See also:syzygy of degree order 6, 6.

End of Article: A2(z)

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