cyclotomic: A subfield of the complex numbers for exact calculation.

[ gpl, library, math ] [ Propose Tags ]
Versions 0.1, 0.2, 0.3, 0.3.1, 0.4, 0.4.1, 0.4.2, 0.4.3, 0.4.4,,
Dependencies arithmoi (==0.4.*), base (>=4.2 && <4.6), containers (>=0.3 && <0.5) [details]
License GPL-3.0-only
Author Scott N. Walck
Maintainer Scott N. Walck <>
Category Math
Uploaded by ScottWalck at Mon Jul 30 13:41:15 UTC 2012
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The cyclotomic numbers are a subset of the complex numbers that are represented exactly, enabling exact computations and equality comparisons. They contain the Gaussian rationals (complex numbers of the form p + q i with p and q rational), as well as all complex roots of unity. The cyclotomic numbers contain the square roots of all rational numbers. They contain the sine and cosine of all rational multiples of pi. The cyclotomic numbers form a field, being closed under addition, subtraction, mutiplication, and division.




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