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AMBIENTUM BIOETHICA BIOLOGIA CHEMIA DIGITALIA DRAMATICA EDUCATIO ARTIS GYMNAST. ENGINEERING EPHEMERIDES EUROPAEA GEOGRAPHIA GEOLOGIA HISTORIA HISTORIA ARTIUM INFORMATICA IURISPRUDENTIA MATHEMATICA MUSICA NEGOTIA OECONOMICA PHILOLOGIA PHILOSOPHIA PHYSICA POLITICA PSYCHOLOGIA-PAEDAGOGIA SOCIOLOGIA THEOLOGIA CATHOLICA THEOLOGIA CATHOLICA LATIN THEOLOGIA GR.-CATH. VARAD THEOLOGIA ORTHODOXA THEOLOGIA REF. TRANSYLVAN
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The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name. |
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STUDIA MATHEMATICA - Issue no. 2 / 2011 | |||||||
Article: |
AREA PRESERVING MAPS FROM RECTANGLES TO ELLIPTIC DOMAINS. Authors: . |
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Abstract: We construct a bijection from R2 to R2, which maps, for each αÎ (0, ¥), rectangles of arbitrary edges 2aL1, 2aL2 onto ellipses with semi-axes aa, ab, with a, b satisfying 4L1L2 = pab. This bijection preserves area and thus allows us to construct uniform and refinable grids on elliptic domains starting from uniform and refinable grids on rectangles. Mathematics Subject Classification (2010): 65M50, 65N50. Keywords: Uniform grid, refinable grid, hierarchical grid, equal area projection, ellipse. |
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