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On a conjectured increasing series - Sleeping habits of armadillos -

by R. A. Todor

(Report number 2004-10)

Abstract
The rate of total heat loss of two bodies maintained at constant temperature in a homogeneous conducting medium of low temperature is a function of the distance between the two bodies. Assuming spherical bodies with equal temperatures, this function has been explicitly computed in [4] and its monotonic increase has been verified numerically. In this note we give a rigorous completely elementary proof of this fact, and thus a positive answer to the question raised by M.L. Glasser in [3].

Keywords:

@Techreport{T04_337,
  author = {R. A. Todor},
  title = {On a conjectured increasing series - Sleeping habits of armadillos -},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2004-10},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2004/2004-10.pdf },
  year = {2004}
}

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