Online Encyclopedia

A2 (z)

Online Encyclopedia
Originally appearing in Volume V01, Page 637 of the 1911 Encyclopedia Britannica.
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A2 (z)  z2—Ai 4z/ , where = 1
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A2(z) —az2.1—a2' and this is the red'iced generating
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function which tells us, by its denominator factors, that the
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complete
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system of the quadratic is composed of the form itself of degree order I, 2 shown by az2, and of the
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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
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independent, but are connected by a syzygy of degree order 6, 6 .

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