• number theory, Gillies' conjecture is a conjecture about the distribution of prime divisors of Mersenne numbers and was made by Donald B. Gillies in a 1964...
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  • powers. The case of Mersenne primes is one case of (a, b) = (2, 1). Gillies' conjecture on the distribution of numbers of prime factors of Mersenne numbers...
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  • sequence is bounded? Gillies' conjecture on the distribution of prime divisors of Mersenne numbers. Landau's problems Goldbach conjecture: all even natural...
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  • Wagstaff prime Cullen prime Woodall prime Proth prime Solinas prime Gillies' conjecture Williams number This number is the same as the Lucas number Un(a...
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  • Thumbnail for Karl Popper
    philosophers, such as Daniel Dennett, have not embraced Popper's Three World conjecture, mostly due to what they see as its resemblance to mind–body dualism....
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  • competitors may react if it varies its output or price. The firm forms a conjecture about the variation in the other firm's output that will accompany any...
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  • empirical observations based on those predictions. A hypothesis is a conjecture based on knowledge obtained while seeking answers to the question. Hypotheses...
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  • and in 1990 Richard Weber and Eddie Anderson conjectured the optimal strategy. In 2012 the conjecture was proved for n = 3 by Richard Weber. This was...
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  • competitors' decisions. An essential assumption of this model is the "not conjecture" that each firm aims to maximize profits, based on the expectation that...
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    JSTOR 732909. "Russia – Music". Encyclopædia Britannica. Retrieved 7 July 2021. Gillies, Richard Louis (April 2019). "Otchalivshaia Rus': Georgii Sviridov and...
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    2002, p. 223. Burian 2004. Hortmann 2002, pp. 224–225. Gillies et al. 2002, pp. 267–269. Gillies et al. 2002, pp. 267–69. Morrison 2002, pp. 247–248. Thompson...
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    the Policraticus […] {{cite book}}: ISBN / Date incompatibility (help) Gillies, John (1994). Shakespeare and the Geography of Difference. Cambridge, England:...
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  • the core is always empty. The modern definition of the core is due to Gillies. Consider a transferable utility cooperative game ( N , v ) {\displaystyle...
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    Popper under the rubric of his applying a fallibilist methodology of conjectures and refutations to mathematics in his Cambridge PhD thesis. With co-editor...
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  • however, with Popper's putative solution not generally accepted. Donald A. Gillies argues that rules of inferences related to inductive reasoning are overwhelmingly...
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    Madeline Cottage Bruce M. Davis Danny DeCarlo Lynette Fromme Catherine Gillies (died 2018) Sandra Good Clem Grogan John Haught (died 1969) Barbara Hoyt...
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  • rationality of players is mutually known and these conjectures are commonly known, then the conjectures must be a Nash equilibrium (a common prior assumption...
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  • Thumbnail for St Kilda, Scotland
    authority area.: 254  The origin of the name St Kilda is a matter of conjecture. The islands' human heritage includes unique architectural features from...
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  • king of South Connacht, whose Norse counterpart is Óðinn. Scowcroft conjectures there was some wisdom-gaining underlying theme, similar to Óðinn losing...
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  • logical principles, and that without this principle, science is impossible". Gillies, in Rethinking Popper (Springer, 2009), pp 103–05. Mattessich, Richard...
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    Ḥadīṯa; adjective qrt-ḥdty "Carthaginian" Hitchner, R.; R. Talbert; S. Gillies; J. Åhlfeldt; R. Warner; J. Becker; T. Elliott. "Places: 314921 (Carthago)"...
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    gravitation. However, he did not generalize or elaborate on this. In 1767, he conjectured that the force between charges varied as the inverse square of the distance...
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    Kelvin; Arnalich-Montiel, Francisco; Miotto, Stefania; Daien, Vincent; Gillies, Mark C.; Watson, Stephanie L. (2022). "Quality of life impact of eye diseases:...
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    an hourlong lecture on convex sets, fixed-point theory, and duality, conjecturing the equivalence between matrix games and linear programming. Later, von...
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    later Galileo affair. Even with the scrutiny that he faced regarding his conjecture that the universe was not centered around the Earth, he continued to gain...
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    Priscilla M.; Scott, Nigel J.; Beckwith, Jacinta; Pryor Rodgers, Rata; Gillies, Tasman; Van Uitregt, Vincent; Krushil, Watene (2021). "A short scan of...
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    Disorders. 78 (3): 201–208. doi:10.1016/S0165-0327(02)00317-8. PMID 15013244. Gillies D, Sampson S, Beck A, Rathbone J (April 2013). "Benzodiazepines for psychosis-induced...
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  • Thumbnail for List of Mersenne primes and perfect numbers
    density of Mersenne primes is the subject of the Lenstra–Pomerance–Wagstaff conjecture, which states that the expected number of Mersenne primes less than some...
    51 KB (2,902 words) - 09:40, 25 June 2025
  • ISSN 0007-0882. Leng, Mary (2005). "Mathematical Explanation". In Cellucci, Carlo; Gillies, Donald A. (eds.). Mathematical Reasoning and Heuristics. King's College...
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  • Blotto game). Borel conjectured the non-existence of mixed-strategy equilibria in finite two-person zero-sum games, a conjecture that was proved false...
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