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...

Using an identity for effective resistances, we find a relationship between the arithmetic-geometric index and the global ciclicity index. Also, with the help of majorization, we find tight upper and lower bounds for the arithmetic-geometric index.

We present an revised table of 390 Galactic radio supernova remnants (SNRs) and their basic parameters. Statistical analyses are performed on SNR diameters, ages, spectral indices, heights spherical symmetries. Furthermore, the accuracy distances estimated using $\Sigma$-D relation is examined. The arithmetic mean diameters $30.5$ pc with standard error $1.7$ deviation $25.4$ pc. geometric fact...

The physical and aerodynamic properties of black white sesame were determined at Moisture Content(MC%) range 8.5 – 30.6%(d.b).The major, minor, intermediate, arithmetic mean, geometric mean diameters sphericity, projected area the two varieties 2.96 3.94mm, 1.47 -2.40mm,0.54 -1.26mm,1.66 2.50mm, 0.78 - 3.66mm 26.53 93.45, 1.91 42.08mm2 respectively.The increase in MC resulted decrease true dens...