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The paper discusses the asymptotic behavior of generalizations of the Gauss’s arithmetic-geometric mean, associated with the names Meissel (1875) and Borchardt (1876). The "hapless computer experiment" in the title refers to the fact that the author at an earlier stage thought that one had genuine asymptotic formulae but it is now shown that in general "fluctuations" are present. However, no ve...

JPEG-2000, the successor to JPEG, is emerging as an attractive candidate for the future de facto image compression standard. However, while it offers superior results over most other image compression techniques, it comes with a long list of features and options, and consequently a highly complex algorithm. We have developed an image coder that can compete with the performance of JPEG-2000 whil...