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首页> 外文期刊>The Journal of Combinatorial Mathematics and Combinatorial Computing >Magical Mathematical Connections with the Borda Voting Method
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Magical Mathematical Connections with the Borda Voting Method

机译:Borda投票方法的神奇数学联系

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摘要

We examine the Borda voting method, which has numerous interesting mathematical properties. We determine when a candidate can win a Borda election with all tth place votes and present a method of constructing ballots that yield such a victory. Then we present a connection between Borda elections and semi-magic squares. We show how a Borda election result gives rise to a semi-magic square, and we show that given any semi-magic square there exists at least one Borda election result corresponding to it.
机译:我们研究了Borda投票方法,该方法具有许多有趣的数学特性。我们确定候选人何时能够以第t位所有票数赢得博尔达(Borda)选举,并提出构建能够产生这种胜利的选票的方法。然后,我们介绍了Borda选举与半魔方之间的联系。我们展示了Borda选举结果如何产生一个半幻方,并且我们展示了在给定任何半魔术正方形的情况下,至少存在一个与之对应的Borda选举结果。

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