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19952026
most citedThe Gaia mission

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math.RA2013★ 10 cited

Symmetric matrices, orthogonal Lie algebras, and Lie-Yamaguti algebras

Pilar Benito, Murray Bremner, Sara Madariaga

On the set H_n(K) of symmetric n by n matrices over the field K we can define various binary and ternary products which endow it with the structure of a Jordan algebra or a Lie or…

cs.SC2013★ 50 cited

Misfortunes of a mathematicians' trio using Computer Algebra Systems: Can we trust?

Antonio J. Durán, Mario Pérez, Juan L. Varona

Computer algebra systems are a great help for mathematical research but sometimes unexpected errors in the software can also badly affect it. As an example, we show how we have det…

math.RA2013

Nilpotent Sabinin algebras

J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov

In this note we establish several basic properties of nilpotent Sabinin algebras. Namely, we show that nilpotent Sabinin algebras (1) can be integrated to produce nilpotent loops,…

math.FA2013

Fourier--Jacobi expansions in Morrey spaces

A. Arenas, Ó. Ciaurri

In this paper we obtain a characterization of the convergence of the partial sum operator related to Fourier--Jacobi expansions in Morrey spaces.

nlin.CD2013★ 29 cited

Delaunay variables approach to the elimination of the perigee

Martin Lara, Juan F. San-Juan, Luis M. López-Ochoa

Analytical integration in Artificial Satellite Theory may benefit from different canonical simplification techniques, like the elimination of the parallax, the relegation of the no…

physics.ao-ph2013★ 1 cited

Downscaling of global solar irradiation in R

F. Antonanzas-Torres, F. J. Martínez de Pisón, J. Antonanzas +1

A methodology for downscaling solar irradiation from satellite-derived databases is described using R software. Different packages such as raster, parallel, solaR, gstat, sp and ra…