نتایج جستجو برای: 3 irrationality
تعداد نتایج: 1812138 فیلتر نتایج به سال:
There is abundant evidence that many individuals violate the rationality assumptions routinely made in economics. However, powerful evidence also indicates that violations of individual rationality do not necessarily refute the aggregate predictions of standard economic models that assume full rationality of all agents. Thus, a key question is how the interactions between rational and irrationa...
In this paper, we describe how the hypergeometric method of Thue and Siegel may be applied to questions of irrationality. As a consequence of our approach, we provide a somewhat simple proof of a classical theorem of Ljunggren to the effect that the Diophantine equation x^ — 2y' = — 1 has only the solutions {x,y) = (1,1) and {x,y) = (239,13) in positive integers. Mathematics Subject Classificat...
criteria (which will be used here once again), and proved a result implying the irrationality of f( -It-1 S(~). n=l n. E. Burton [1] has studied series of type f (kS(k\" which has a value E (e ~,~). He k=2 + 1 . 2 showed that the series f (kS(k)), is convergent for all r E N. 1. Cojocaru and S. Cojocaru k=2 + r . [3] have introduced the "third constant of Smarandache" namely f S ) C; ~ -'( , n=...
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