Construction of Fair Dice Pairs
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An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier Transformation, we present all the 2000 fair dice pairs and their 8 equivalence classes in a four-person game, identifying what we call the mandarin duck property of fair dice pairs.
2019 ◽
Vol 1176
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pp. 042019
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1999 ◽
Vol 42
(3)
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pp. 621-640
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1961 ◽
Vol 57
(3)
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pp. 483-488
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1987 ◽
Vol 43
(2)
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pp. 171-175
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1968 ◽
Vol 8
(3)
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pp. 523-543
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