The Ternary Linear Transformation Group Gand Its Complete Invariant System
The Ternary Linear Transformation Group Gand Its Complete Invariant System
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For a — T=^ — ^m(m=-j- integer),, being the sum of the products to the power t — o- of the six quad- ratic expressions in sets of five, and consequently an integral function of J^6, -^12 > and 7^30 of degree 10 (t — a). Substituting the values of the expressions (3) and (4) in (2) we get (5) ^-=3222 ^"'^ ^' ^" *^^^"'^ ^^' ' ^" ' ^-^ + p O- T and -F30, since i^^ is an integral function of J^e and ^, 2 .
Since D^ is the only fundamental invariant of odd degree under the Gfio to which it belongs ..., it must be a divisor of every invariant of odd degree under G3. 360. The same is evidently true of ^^. There cannot be, consequently, more than one fundamental invariant of odd degree ; and if one such invariant exists, it consists of the fifteen linear factors of Z>j, together with the factors conjugate to these under G3.
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You can find similar books in the "Read Also" column, or choose other free books by George Lincoln Brown to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For a — T=^ — ^m(m=-j- integer),
Since D^ is the only fundamental invariant of odd degree under the Gfio to which it belongs
What to read after The Ternary Linear Transformation Group Gand Its Complete Invariant System?
You can find similar books in the "Read Also" column, or choose other free books by George Lincoln Brown to read onlineMoreLess
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