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Theoretical analysis of weak hyperstructures shows potential in energy production applications, highlighting multivalued mathematical models.
The Lie-Santilli admissible theory gives in physics applications mainly in producing energy. The mathematical models need to be multivalued and the class of Hv-structures is the most appropriate, since this is the largest class of hyper-structures. The Hv-numbers, weak hyper-numbers, used satisfy all needed axioms. We focus on small and very-thin Hv-fields with P-hyper-operations on the product.
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Hila et al. (2025) studied this question.
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