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adsdocmatch/tests/unittests/stubdata/ArXiv/oai/eprints/0708/1752
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adsdocmatch/tests/unittests/stubdata/ArXiv/oai/eprints/1701/00200
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Title: Validation of the new Hipparcos reduction | ||
Authors: van Leeuwen, F. | ||
Journal: eprint arXiv:0708.1752 | ||
Publication Date: 08/2007 | ||
Comments: 12 pages, 19 figures, accepted for publication by Astronomy and Astrophysics; | ||
Astron.Astrophys.474:653-664,2007; | ||
doi:10.1051/0004-6361:20078357 | ||
Origin: ARXIV | ||
Keywords: Astrophysics | ||
Bibliographic Code: 2007arXiv0708.1752V | ||
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Abstract | ||
Context.A new reduction of the astrometric data as produced by the | ||
Hipparcos mission has been published, claiming accuracies for nearly all | ||
stars brighter than magnitude Hp = 8 to be better, by up to a factor 4, | ||
than in the original catalogue. Aims.The new Hipparcos astrometric | ||
catalogue is checked for the quality of the data and the consistency of | ||
the formal errors as well as the possible presence of error | ||
correlations. The differences with the earlier publication are | ||
explained. Methods. The internal errors are followed through the | ||
reduction process, and the external errors are investigated on the basis | ||
of a comparison with radio observations of a small selection of stars, | ||
and the distribution of negative parallaxes. Error correlation levels | ||
are investigated and the reduction by more than a factor 10 as obtained | ||
in the new catalogue is explained. Results.The formal errors on the | ||
parallaxes for the new catalogue are confirmed. The presence of a small | ||
amount of additional noise, though unlikely, cannot be ruled out. | ||
Conclusions. The new reduction of the Hipparcos astrometric data | ||
provides an improvement by a factor 2.2 in the total weight compared to | ||
the catalogue published in 1997, and provides much improved data for a | ||
wide range of studies on stellar luminosities and local galactic | ||
kinematics. |
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Title: Post-Lie algebra structures on the Witt algebra | ||
Authors: Tang, Xiaomin | ||
Journal: eprint arXiv:1701.00200 | ||
Publication Date: 01/2017 | ||
Comments: 24 pages | ||
Origin: ARXIV | ||
Keywords: Mathematics - Rings and Algebras, 17A30, 17A42, | ||
17B60, 18D50 | ||
Bibliographic Code: 2017arXiv170100200T | ||
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Abstract | ||
In this paper, we characterize the graded post-Lie algebra structures | ||
and a class of shifting post-Lie algebra structures on the Witt algebra. | ||
We obtain some new Lie algebras and give a class of their modules. As an | ||
application, the homogeneous Rota-Baxter operators and a class of | ||
non-homogeneous Rota-Baxter operators of weight $1$ on the Witt algebra | ||
are studied. |
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