Partitions and Surroundings
Partitions and Surroundings

Summary/Abstract: Aim: This paper gives a strict definition of a partition, and a recursive formula for the number of partitions is provided. The infinite matrix of conditional partitions plays an essential role in the proof. Methodology: Special attention is paid to the connection of partitions with discriminations. The preferences and the partitions determined by them lead to a conjecture generalising the 2/3 rule of Łyka. Results: Toffler waves are extended to decreasing geometric sequences of circular arcs. Time is round and can be measured by an angle. Eternity is identical to the current moment. Originality/value: This is an attempt to provide a mathematical explanation for Toffler waves.

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