• Corpus ID: 180461

The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts

  title={The genetic code, 8-dimensional hypercomplex numbers and dyadic shifts},
  author={Sergey V. Petoukhov},
  journal={arXiv: Other Quantitative Biology},
  • S. Petoukhov
  • Published 17 February 2011
  • Computer Science
  • arXiv: Other Quantitative Biology
The article is devoted to algebraic features of structural phenomena of molecular ensembles of the genetic code. Matrix forms of presentations of the genetic code allow showing deep relations of the genetic code with dyadic shifts and algebras of 8-dimensional hypercomplex numbers. Hadamard matrices and orthogonal systems of Rademacher and Walsh functions, which are well-known formalisms from discrete signal processing, participate in this discovery of hidden structural features of the genetic… 

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