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4 Results Found

  • Article
  • Open Access
11 Citations
6,988 Views
38 Pages

29 December 2023

Descriptive geometry has indispensable applications in many engineering activities. A summary of these is provided in the first chapter of this paper, preceded by a brief introduction into the methods of representation and mathematical recognition re...

  • Article
  • Open Access
1,451 Views
10 Pages

16 June 2023

Firstly, we present a more explicit formulation of the complete system D(N) of representatives of Manin’s symbols over Q, which was initially given by Shimura. Then, we establish a bijection between D(M)×D(N) and D(MN) for (M,N)=1, which...

  • Article
  • Open Access
1 Citations
2,723 Views
14 Pages

1 August 2022

Rating systems are applied to a wide variety of different contexts as a tool to map a large amount of information to a symbol, or notch, chosen from a finite, ordered set. Such a set is commonly known as the rating scale, and its elements represent a...

  • Article
  • Open Access
1,099 Views
23 Pages

28 July 2025

The newly developed automorphism ensemble decoder (AED) leverages the rich automorphisms of Reed–Muller (RM) codes to achieve near maximum likelihood (ML) performance at short code lengths. However, the performance gain of AED comes at the cost...