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Metrics with unit discs of arbitrary shape

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ABSTRACT In high school, unit discs were all circular. Squares and diamonds were added to the list of shapes in a Real Analysis course and although more bizarre shapes appeared… Click to show full abstract

ABSTRACT In high school, unit discs were all circular. Squares and diamonds were added to the list of shapes in a Real Analysis course and although more bizarre shapes appeared in graduate school, the list of possible shapes didn’t appear endless. In this note, we’ll show that unit discs can have almost any shape imaginable.

Keywords: discs arbitrary; metrics unit; unit discs; unit; arbitrary shape

Journal Title: International Journal of Mathematical Education in Science and Technology
Year Published: 2020

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