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Jacobians Hessians eliminants and discriminants 813 15
A theorem on powers of the modulus proved and applied 16 17
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absolute invariant annihilated binary cubic binary p-ic binary quantic Boolian invariants canonical form catalecticant Cayley complete system consequently constant contravariants corresponding covariants and invariants Crown 8vo degree and order denote determinant differences DIOPHANTINE EQUATIONS discriminant dxdy equal equations evectants expressed in terms fact finite number gradient harmonic conjugates Hessian homogeneous function identity independent invariants invariant of degree invariant or covariant invariants and covariants irreducible concomitants irreducible invariants Jacobian leading coefficient linear covariant linear form linear functions linear substitution linear transformation linearly independent modulus multiplied number of linearly numerical multiple obtained partial degrees positive integral power of a0 protomorphs prove quadratic quartic equation rational integral function rational integral invariant rationally and integrally roots seminvariant of degree sets of solutions sextic suffix symmetric function syzygy Taylor's theorem terms free theorem transformed quantic transvectants values vanish variant weight zero