Let [pi] Be a Function

  In the plane, the ratio of the circumference of a circle to its diameter is always ... On a sphere, however, this ratio (which we denote ...) takes on other values, provided the diameter is measured along a great circle on the sphere. In this article, we explore ... as a function of radius on surf...

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Bibliographic Details
Published inMathematics magazine Vol. 86; no. 3; p. 177
Main Authors Schultz, Justin T, Stenson, Catherine
Format Magazine Article
LanguageEnglish
Published Washington Taylor & Francis Ltd 01.06.2013
Subjects
Mathematical functions
Mathematical problems
Topological manifolds
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Summary:  In the plane, the ratio of the circumference of a circle to its diameter is always ... On a sphere, however, this ratio (which we denote ...) takes on other values, provided the diameter is measured along a great circle on the sphere. In this article, we explore ... as a function of radius on surfaces of revolution. We also consider the inverse problem -- we begin with a function and, under certain conditions, find a surface or Riemannian manifold with ... equal to that function. (ProQuest: ... denotes formulae/symbols omitted.)
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ISSN:0025-570X
1930-0980