March 3, 2026Open Access

Multiplication of closed balls in Cⁿ

Key Points

Multiplication of closed balls in complex numbers reveals unique properties and behaviors.
The study analyzes the Hadamard product and vector cross product in specific dimensions (n=3, n=7).
Observational analysis explores the equations generated by these multiplications and their solutions.
The findings may enhance understanding of circular complex interval arithmetic and its applications.

Abstract

Motivated by circular complex interval arithmetic, some operations on closed balls in Cn are considered. Essentially, the properties of possible multiplications for closed balls in Cn, related either to the Hadamard product of vectors or to the 2-fold vector cross product when n ∈ 3, 7, are studied. In addition, certain equations involving the defined multiplications are solved.

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Discussion

Cite this study

Beites et al. (Sun,) studied this question.

synapsesocial.com/papers/69a75e5ec6e9836116a28dcf

Authors

Patrícia Damas Beites

University of Beira Interior

Alejandro Piñera Nicolás

Universidad de Oviedo

Jose Vitoria

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Building similarity graph...

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Multiplication of closed balls in Cⁿ

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Actions

References and Citations

Citation Network

Connected Papers

Discussion