Dedekind number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dedekind number" in English language version.

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12doi.org

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10ams.org

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4semanticscholar.org

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2arxiv.org

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1jstor.org

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1oeis.org

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1mathpages.com

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ams.org

mathscinet.ams.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107 Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855 Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115 Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kahn (2002). Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115
Church (1940); Church (1965); Zaguia (1993). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842 Church, Randolph (1965), "Enumeration by rank of the free distributive lattice with 7 generators", Notices of the American Mathematical Society, 11: 724, as cited by Wiedemann (1991) Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842
Wiedemann (1991). Wiedemann, Doug (1991), "A computation of the eighth Dedekind number", Order, 8 (1): 5–6, doi:10.1007/BF00385808, MR 1129608, S2CID 120878757
Yamamoto (1953). Yamamoto, Koichi (1953), "Note on the order of free distributive lattices", Science Reports of the Kanazawa University, 2 (1): 5–6, MR 0070608
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842
Zaguia (1993). Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220

arxiv.org

Jäkel (2023). Jäkel, Christian (2023), "A computation of the ninth Dedekind number", Journal of Computational Algebra, 6–7, arXiv:2304.00895, doi:10.1016/j.jaca.2023.100006
Van Hirtum et al. (2024). Van Hirtum, Lennart; De Causmaecker, Patrick; Goemaere, Jens; Kenter, Tobias; Riebler, Heinrich; Lass, Michael; Plessl, Christian (2024), "A computation of the ninth Dedekind number using FPGA Supercomputing", ACM Transactions on Reconfigurable Technology and Systems, 17 (3): 40:1–40:28, arXiv:2304.03039, doi:10.1145/3674147

doi.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107 Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855 Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115 Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kahn (2002). Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115
Church (1940); Church (1965); Zaguia (1993). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842 Church, Randolph (1965), "Enumeration by rank of the free distributive lattice with 7 generators", Notices of the American Mathematical Society, 11: 724, as cited by Wiedemann (1991) Zaguia, Nejib (1993), "Isotone maps: enumeration and structure", in Sauer, N. W.; Woodrow, R. E.; Sands, B. (eds.), Finite and Infinite Combinatorics in Sets and Logic (Proc. NATO Advanced Study Inst., Banff, Alberta, Canada, May 4, 1991), Kluwer Academic Publishers, pp. 421–430, MR 1261220
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Tombak (2001). Tombak, Mati (2001), "On Logical Method for Counting Dedekind Numbers", Fundamentals of Computation Theory, Lecture Notes in Computer Science, vol. 2138, pp. 424–427, doi:10.1007/3-540-44669-9_48, ISBN 978-3-540-42487-1
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842
Ward (1946). Ward, Morgan (1946), "Note on the order of free distributive lattices", Bulletin of the American Mathematical Society, 52: 423, doi:10.1090/S0002-9904-1946-08568-7
Wiedemann (1991). Wiedemann, Doug (1991), "A computation of the eighth Dedekind number", Order, 8 (1): 5–6, doi:10.1007/BF00385808, MR 1129608, S2CID 120878757
Jäkel (2023). Jäkel, Christian (2023), "A computation of the ninth Dedekind number", Journal of Computational Algebra, 6–7, arXiv:2304.00895, doi:10.1016/j.jaca.2023.100006
Van Hirtum et al. (2024). Van Hirtum, Lennart; De Causmaecker, Patrick; Goemaere, Jens; Kenter, Tobias; Riebler, Heinrich; Lass, Michael; Plessl, Christian (2024), "A computation of the ninth Dedekind number using FPGA Supercomputing", ACM Transactions on Reconfigurable Technology and Systems, 17 (3): 40:1–40:28, arXiv:2304.03039, doi:10.1145/3674147
Church (1940). Church, Randolph (1940), "Numerical analysis of certain free distributive structures", Duke Mathematical Journal, 6 (3): 732–734, doi:10.1215/s0012-7094-40-00655-x, MR 0002842

jstor.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107 Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855 Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115 Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297

mathpages.com

Brown. Brown, K. S., Generating the monotone Boolean functions

oeis.org

Sloane. Sloane, N. J. A. (ed.), "Sequence A000372", The On-Line Encyclopedia of Integer Sequences, OEIS Foundation{{cite web}}: CS1 maint: ref duplicates default (link)

semanticscholar.org

api.semanticscholar.org

Kleitman & Markowsky (1975); Korshunov (1981); Kahn (2002); Kisielewicz (1988). Kleitman, D.; Markowsky, G. (1975), "On Dedekind's problem: the number of isotone Boolean functions. II", Transactions of the American Mathematical Society, 213: 373–390, doi:10.2307/1998052, JSTOR 1998052, MR 0382107 Korshunov, A. D. (1981), "The number of monotone Boolean functions", Problemy Kibernet., 38: 5–108, MR 0640855 Kahn, Jeff (2002), "Entropy, independent sets and antichains: a new approach to Dedekind's problem", Proceedings of the American Mathematical Society, 130 (2): 371–378, doi:10.1090/S0002-9939-01-06058-0, MR 1862115 Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Kisielewicz (1988). Kisielewicz, Andrzej (1988), "A solution of Dedekind's problem on the number of isotone Boolean functions", Journal für die Reine und Angewandte Mathematik, 1988 (386): 139–144, doi:10.1515/crll.1988.386.139, MR 0936995, S2CID 115293297
Wiedemann (1991). Wiedemann, Doug (1991), "A computation of the eighth Dedekind number", Order, 8 (1): 5–6, doi:10.1007/BF00385808, MR 1129608, S2CID 120878757