Charles Stanley, Brustbild

Signatur des Originals: S 36/F09746

Kate Stanley, Rollenbild, Hüftbild

Signatur des Originals: S 36/F09747

Herbert Stanley Oakeley, Ganzfigurbildnis

Signatur des Originals: S 36/F09440

Alma Stanley, Brustbild

Signatur des Originals: S 36/F09953

John Stanley, Brustbild

Signatur des Originals: S 36/G03656

Differential elimination by differential specialization of Sylvester style matrices

Differential resultant formulas are defined, for a system $\cP$ of $n$ ordinary Laurent differential polynomials in $n-1$ differential variables. These are determinants of coefficient matrices of an extended system of polynomials obtained from $\cP$ through derivations and multiplications by Laurent monomials. To start, through derivations, a system $\ps(\cP)$ of $L$ polynomials in $L-1$ algebraic variables is obtained, which is non sparse in the order of derivation. This enables the use of existing formulas for the computation of algebraic resultants, of the multivariate sparse algebraic polynomials in $\ps(\cP)$, to obtain polynomials in the differential elimination ideal generated by $\cP$. The formulas obtained are multiples of the sparse differential resultant defined by Li, Yuan and Gao, and provide order and degree bounds in terms of mixed volumes in the generic case.

Narrative of the voyage of H.M.S. Rattlesnake, commanded by the late Captain Owen Stanley during the years 1846-50, including discoveries and surveys in New Guinea, the Louisiade Archipelago, etc : to which is added Mr. E.B. Kennedy's expedition for the exploration of the Cape York Peninsula / by John Macgillivray.

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The Oraibi summer snake ceremony, by H. R. Voth -- The Stanley McCormick Hopi expedition -- George A. Dorsey --

v.3:no.4(1903)