JOURNAL ARTICLE

FRACTAL ALGEBRA A MATHEMATICAL ALLEGORY.

  • Published In: Fractals, 2023, v. 31, n. 1. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: O'NEILL, JOSEPH; SCHOTH, ANDREAS 3 of 3

Abstract

An abstract fractal algebra is developed with structures analogous to conventional linear algebra. Focus is on group properties and symmetries forming an abstract algebraic structure over the body of real numbers. The new algebra is worked out on a sample fractal geometry. Correspondences between fractal and linear algebra are explained with numerical examples, including fractal vectors and fractal versions of the vector sum, projections, scalar product, cross product, matrix, and matrix product. We allude to possible applications of fractal vectors in physics. This fractal algebra may open novel possibilities for analysis of fractal systems. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Fractals. 2023/02, Vol. 31, Issue 1, p1
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0218-348X
  • DOI:10.1142/S0218348X23500202
  • Accession Number:162382840
  • Copyright Statement:Copyright of Fractals is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Looking to go deeper into this topic? Look for more articles on EBSCOhost.