Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Salient Limits of Strings in Assembly Theory

Version 1 : Received: 19 September 2024 / Approved: 20 September 2024 / Online: 20 September 2024 (05:20:03 CEST)

How to cite: Bieniawski, W.; Masierak, P.; Łukaszyk, S. On the Salient Limits of Strings in Assembly Theory. Preprints 2024, 2024091581. https://doi.org/10.20944/preprints202409.1581.v1 Bieniawski, W.; Masierak, P.; Łukaszyk, S. On the Salient Limits of Strings in Assembly Theory. Preprints 2024, 2024091581. https://doi.org/10.20944/preprints202409.1581.v1

Abstract

We show that the longest length N of a string, composed according to the principles of assembly theory of b different basic symbols, which has the assembly index of N-1 is given by b2+b+1 and this odd-length string is nearly balanced.

Keywords

assembly theory; complexity measures; information entropy; mathematical physics

Subject

Physical Sciences, Mathematical Physics

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