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math.CO2025
Assembly Addition Chains
Leroy Cronin, Juan Carlos Morales Parra, Keith Y. Patarroyo
In this paper we extend the notion of Addition Chains over Z+ to a general set S. We explain how the algebraic structure of Assembly Multi-Magma over the pairs (S,BB proper subset…
cond-mat.mtrl-sci2025
Quantifying the Complexity of Materials with Assembly Theory
Keith Y Patarroyo, Abhishek Sharma, Ian Seet +3
Quantifying the evolution and complexity of materials is of importance in many areas of science and engineering, where a central open challenge is developing experimental complexit…