共查询到20条相似文献,搜索用时 15 毫秒
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Cezary Cieliski 《Mathematical Logic Quarterly》2002,48(1):105-110
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George Tourlakis 《Mathematical Logic Quarterly》1996,42(1):449-460
We refine the definition of II-computability of [12] so that oracles have a “consistent”, but natural, behaviour. We prove a Kleene Normal Form Theorem and closure of semi-recursive relations under ?1. We also show that in this more inclusive computation theory Post's theorem in the arithmetical hierarchy still holds. Mathematics Subject Classification: 03D65, 03D75. 相似文献
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《Operations Research Letters》2023,51(1):105-110
When hit with an adverse shock, banks that do not comply with capital regulation sell risky assets to satisfy their solvency constraint. When financial markets are imperfectly competitive, this naturally gives rise to a GNEP. We consider a new framework with an arbitrary number of banks and assets, and show that Tarski's theorem can be used to prove the existence of a Nash equilibrium when markets are sufficiently competitive. We also prove the existence of ?-Nash equilibria. 相似文献
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Gyrgy Serny 《Mathematical Logic Quarterly》2004,50(2):211-216
Boolos's proof of incompleteness is extended straightforwardly to yield simple “diagonalization‐free” proofs of some classical limitative theorems of logic. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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Gurgen Asatryan 《Mathematical Logic Quarterly》2002,48(2):277-282
All arithmetical identities involving 1, addition, multiplication and exponentiation will be true in a 2‐element model of Tarski's system if a certain sequence of natural numbers is not bounded. That sequence can be bounded only if the set of Fermat's prime numbers is finite. 相似文献
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Chengguan Tan 《International Journal of Mathematical Education in Science & Technology》2013,44(7):1103-1107
In this paper, we give some new mean value theorems, which are generalizations of Flett, Myers and Tong's theorems. 相似文献
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Andreas Sauer 《Mathematische Nachrichten》1997,186(1):243-250
We consider functions f and g which are holomoxphic on closed sectors in C where they admit an asymptotic representation at ∞ in the form of power series in z-1. We give a simple geometrical condition under which the Hadamard product f*g of f and g porsesses again an asymp totic expansion at ∞. It turns out that the asymptotic expansion of f*g is essentially the formal Hsdamd product of the asymptotic expansions of f and g. Our result yields a slight generaliestion of a well known theorem of W. B. Ford. 相似文献
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In this paper, we establish new versions of Hardy's and Miyachi's theorems for the Bessel–Struve transform. 相似文献
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Takeshi Yamazaki 《Mathematical Logic Quarterly》2000,46(1):105-110
In this paper, we generalize a result of Brown and Simpson [1] to prove that RCA0+Π0∞‐BCT is conservative over RCA0 with respect to the set of formulae in the form ∃!Xφ(X), where φ is arithmetical. We also consider the conservation of Π00∞‐BCT over Σb1‐NIA+∇b1‐CA. 相似文献
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We prove two conjectures on sums of products of Catalan triangle numbers, which were originally conjectured by Miana et al. [Discrete Math. 340 (2017), 2388–2397]. The first one is proved by using Zeilberger's algorithm, and the second one is proved by establishing its q-analogue. 相似文献
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Jean-Sylvestre Gakwaya 《Mathematical Logic Quarterly》1997,43(1):73-77
In his 1953's paper, Grzegorczyk proved that a certain kind of relation classes of Grzegorczyk's hierarchy could be characterized inductively. We give a simpler version of this characterization. 相似文献
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David B. Leep 《代数通讯》2013,41(8):2640-2648
We generalize a theorem of Birch on solving systems of homogeneous equations of odd degree to the case of solving systems of homogeneous equations of degree not divisible by a fixed integer s ≥ 2. Birch's theorem is the case s = 2. In addition, we give a new exposition of the proof of Brauer's theorem on solving systems of homogeneous equations. 相似文献
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针对微分学不等式列出五种常用证明方法,即利用单调性证明法,利用拉格朗日中值定理证明法,利用最值证明法,利用泰勒公式证明法,和利用凹凸性证明法.实例说明每种方法的使用细节,以达到使初学者能尽快掌握微分学不等式证明的目的. 相似文献