983 resultados para Jordan, Sylvester, 1792-1861.


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Contiene: 1 : Cartes de llevantins (1861-1900) -- 2 : Cartes de llevantins (1901-1911) -- 3 : Suplement a les Cartes de llevantins. Cartes de Llorente

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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.

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Microfilme. Valencia: BV, ca. 1990

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Date of acceptance: 06/12/2014 Acknowledgments The study was funded by the Portuguese Ministry of Science (Fundac¸a˜o para a Cieˆncia e Tecnologia– FCT) through a PhD Grant of SG (SFRH/BD/47931/2008). We would like to thank the captain of the purse-seiner (Jose´ Manuel Saveedra) and his crew for facilitating the capture and transport of live fish. Moreover, we want to thank Ana Marc¸alo for suggestions on the experimental design, Manuel Garci for technical advice on underwater video recordings and James Turner from the company Future Oceans for providing technical details on the 70 kHz dolphin pingers. We would also like to acknowledge the scientific advice of Dr. Jose´ Iglesias and the technical and logistic support for the preparation of the laboratory and the materials for tank experiments by Enrique Martı´nez Gonza´lez, Ricardo Pazo´and other staff at the aquaculture facilities of the Spanish Institute for Oceanography (IEO) and the Marine Sciences Station of Toralla (ECIMAT) in Vigo. Furthermore, we are grateful to Francisco de la Granda Grandoso for his practical assistance during the fish tank experiments and to Juan Santos Blanco for helping with statistical analysis. Finally, we would like to thank Pilar Riobo´ Agula, Amelia Fernandez Villamarin, Jose´ Franco Soler, Jose´ Luis Mun˜oz, Angela Benedetti, Marcos Antonio Lopez Patin˜o and Marta Conde Sieira for scientific advice and practical support with cortisol analysis and Rosana Rodrı´guez for preparing histological samples for us.

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