关于不同点积的个数

2022 IEEE 5th International Conference and Workshop Óbuda on Electrical and Power Engineering (CANDO-EPE) Pub Date : 2022-11-21 DOI:10.1109/CANDO-EPE57516.2022.10046375

Borbély József

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引用次数: 0

摘要

在匈牙利国家竞赛(OKTV)中，2019年提出了一个关于由一般向量集确定的不同点积数量的数学问题。必须证明一个关于不同点积数目的特殊结果。这个问题可能是今年问题列表中最难的一个。我们将解决这个问题的一个扩展，并讨论它的一些推广可能性。在本文的最后，我们将讨论关于这个问题的一个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On The Number of Distinct Dot Products

In the Hungarian National Competition (OKTV) a mathematical problem concerning the number of distinct dot products determined by a general set of vectors was posed in the year 2019. A special result concerning the number of distint dot products had to be proved. The problem was probably the most difficult one in the problem list of this year. We will solve an extension of this problem and we will discuss some generalization possibilities of it. At the end of the paper we will discuss a conjecture concerning this problem.

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2022 IEEE 5th International Conference and Workshop Óbuda on Electrical and Power Engineering (CANDO-EPE)

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