On eigenvectors of the Pascal and Reed-Muller-Fourier transforms
In their paper at the International Symposium on Multiple-Valued Logic in 2017, C. Moraga, R. S. Stankovi´c, M. Stankovi´c and S. Stojkovi´c presented a conjecture for the number of fixed points (i.e., eigenvectors with eigenvalue 1) of the Reed-Muller-Fourier transform of functions of several varia...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
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| Sorozat: | Acta cybernetica
23 No. 3 |
| Kulcsszavak: | Reed-Muller-Fourier-transzformáció, Pascal-transzformáció, Többváltozós függvény, Logika, Transzformáció |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/55688 |
| Tartalmi kivonat: | In their paper at the International Symposium on Multiple-Valued Logic in 2017, C. Moraga, R. S. Stankovi´c, M. Stankovi´c and S. Stojkovi´c presented a conjecture for the number of fixed points (i.e., eigenvectors with eigenvalue 1) of the Reed-Muller-Fourier transform of functions of several variables in multiple-valued logic. We will prove this conjecture, and we will generalize it in two directions: we will deal with other transforms as well (such as the discrete Pascal transform and more general triangular self-inverse transforms), and we will also consider eigenvectors corresponding to other eigenvalues. |
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| Terjedelem/Fizikai jellemzők: | 959-979 |
| ISSN: | 0324-721X |