Aussie AI

Logarithmic Algebra

  • Book Excerpt from "Generative AI in C++"
  • by David Spuler, Ph.D.

Logarithmic Algebra

Papers looking at the mathematical theory of logarithms.

  1. JK Lee, L Mukhanov, AS Molahosseini, 2023, Resource-Efficient Convolutional Networks: A Survey on Model-, Arithmetic-, and Implementation-Level Techniques, https://dl.acm.org/doi/abs/10.1145/3587095, PDF: https://dl.acm.org/doi/pdf/10.1145/3587095
  2. Medium User, 2023, What's the formula to solve summation of logarithms?, Medium, https://math.stackexchange.com/questions/589027/whats-the-formula-to-solve-summation-of-logarithms
  3. Chris Smith, 2021, The Logarithm of a Sum, Mar 9, 2021, https://cdsmithus.medium.com/the-logarithm-of-a-sum-69dd76199790
  4. Daniel E Loeb, 1991, The Interated Logarithmic Algebra, Advances in Mathematics, Volume 86, Issue 2, April 1991, Pages 155-234, https://doi.org/10.1016/0001-8708(91)90041-5
  5. YZ Huang, J Lepowsky, L Zhang, 2006, A logarithmic generalization of tensor product theory for modules for a vertex operator algebra, International Journal of Mathematics, Vol. 17, No. 08, pp. 975-1012 (2006), https://doi.org/10.1142/S0129167X06003758, https://www.worldscientific.com/doi/abs/10.1142/S0129167X06003758
  6. Daniel E Loeb, 1991, The Iterated Logarithmic Algebra. II. Sheffer sequences, Journal of Mathematical Analysis and Applications, Volume 156, Issue 1, 15 March 1991, Pages 172-183, https://doi.org/10.1016/0022-247X(91)90389-H
  7. Yi-Zhi Huang, James Lepowsky, Lin Zhang, Oct 2007, Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, https://arxiv.org/abs/0710.2687
  8. Wikipedia, 2023, List of logarithmic identities, https://en.wikipedia.org/wiki/List_of_logarithmic_identities
  9. Wikipedia, 2023, Logarithmic number system, https://en.wikipedia.org/wiki/Logarithmic_number_system

For more research papers on algebra for LNS models, see https://www.aussieai.com/research/logarithmic#algebra.

 

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