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Date: 12-8-2020
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Date: 18-2-2020
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Date: 23-8-2020
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An irreducible fraction is a fraction for which
, i.e.,
and
are relatively prime. For example, in the complex plane,
is reducible, while
is not.
The figure above shows the irreducible fractions plotted in the complex plane (Pickover 1997; Trott 2004, p. 29).
REFERENCES:
Pickover, C. A. "A Note on Geometric Representations of Gaussian Rational Numbers." Visual Comput. 13, 127-130, 1997.
Trott, M. The Mathematica GuideBook for Graphics. New York: Springer-Verlag, 2004. http://www.mathematicaguidebooks.org/.
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