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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.18959199 |
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| _version_ | 1866902085288591360 |
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| author | Cirino, Hector Damian |
| author_facet | Cirino, Hector Damian |
| contents | <p>This paper introduces and rigorously analyzes a binary operation called exponential multiplication, defined as a ⊗ b = a · 2^b for a, b ∈ ℝ. This operation provides a formal framework for understanding growth through doubling, yielding the notable result that 1 ⊗ 1 = 2. The algebraic properties of this operation are established, including its identity elements, absorption properties, non-commutativity, non-associativity, and relationship to logarithmic transformations. The algebraic structure is classified as a magma and the inverse operation is derived with full domain analysis.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18959199 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Exponential Multiplication: A Mathematical Synthesis Cirino, Hector Damian Exponential multiplication Binary operations Doubling Magma Algebraic structure Base-2 scaling logarithmic transformation <p>This paper introduces and rigorously analyzes a binary operation called exponential multiplication, defined as a ⊗ b = a · 2^b for a, b ∈ ℝ. This operation provides a formal framework for understanding growth through doubling, yielding the notable result that 1 ⊗ 1 = 2. The algebraic properties of this operation are established, including its identity elements, absorption properties, non-commutativity, non-associativity, and relationship to logarithmic transformations. The algebraic structure is classified as a magma and the inverse operation is derived with full domain analysis.</p> |
| title | Exponential Multiplication: A Mathematical Synthesis |
| topic | Exponential multiplication Binary operations Doubling Magma Algebraic structure Base-2 scaling logarithmic transformation |
| url | https://doi.org/10.5281/zenodo.18959199 |