Partitions and Surroundings
DOI:
https://doi.org/10.15611/eada.2026.1.03Keywords:
partition, Chinese partitions, discrimination, preference, permutation, cycle, timeAbstract
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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References
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Copyright (c) 2026 Marek Biernacki, Antoni Smoluk
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Accepted 2026-02-24
Published 2026-04-01
