共查询到20条相似文献,搜索用时 15 毫秒
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Since Yager introduced f-generated implications in 2004, this class of fuzzy implications has been extensively investigated. In this paper, we generalize f-generated implications and get a new class of fuzzy implications called (f, g)-implications, which is different from the usual known classes of fuzzy implications. We discuss the basic algebraic properties of (f, g)-implications and study some classical logic tautologies (i.e., law of importation, contrapositive symmetry and distributivity over t-norms or t-conorms) for (f, g)-implications. Characterization of solutions to the corresponding fuzzy functional equations is obtained. 相似文献
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M. Eie Y. L. Ong 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1997,67(1):149-157
Suppose thatm, n are positive even integers andp is a prime number such thatp-1 is not a divisor ofm. For any non-negative integerN, the classical Kummer’s congruences on Bernoulli numbersB
n(n = 1,2,3,...) assert that (1-p
m-1)B
m/m isp-integral and
ifm ≡ n (mod (p-1)p
n). In this paper, we shall prove that for any positive integerk relatively prime top and non-negative integers α, β such that α +jk =pβ for some integerj with 0 ≤j ≤p-l.Then for any non-negative integerN,
ifp-1 is not a divisor ofm andm ≡ n (mod (p-1)p
n). HereB
n(x) (n = 0,1,2,...) are Bernoulli polynomials. This of course contains the Kummer’s congruences. Furthermore, it contains new congruences
for Bernoulli polynomials of odd indices. 相似文献
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Raimundas Vidunas 《The Ramanujan Journal》2011,26(1):133-146
The paper gives an extension of Clausen’s identity to the square of any Gauss hypergeometric function. Accordingly, solutions
of the related third-order linear differential equation are found in terms of certain bivariate series that can reduce to
3F2 series similar to those in Clausen’s identity. The general contiguous variation of Clausen’s identity is found as well. The
related Chaundy’s identity is generalized without any restriction on the parameters of the Gauss hypergeometric function.
The special case of dihedral Gauss hypergeometric functions is underscored. 相似文献
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Alina Sîntămărian 《Numerical Algorithms》2007,46(2):141-151
The purpose of this paper is to evaluate the limit γ(a) of the sequence , where a ∈ (0, + ∞ ).
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This paper generalizes one of the celebrated results in Graph Theory due to Karl. A. Menger (1927), which plays a crucial role in many areas of flow and network theory. This paper also introduces and characterizes strength reducing sets of nodes and arcs in weighted graphs. 相似文献
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The purpose of this paper is to present a generalization of Forelli’s theorem. In particular, we prove an all dimensional version of the two-dimensional theorem of Chirka (Kompleks. Anal. i Prilozh, 232–240, 2006) of 2005. 相似文献
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In a complete Riemannian manifold (M, g) if the hessian of a real-valued function satisfies some suitable conditions, then it restricts the geometry of (M, g). In this paper we characterize all compact rank-one symmetric spaces as those Riemannian manifolds (M, g) admitting a real-valued functionu such that the hessian ofu has at most two eigenvalues ?u and $ - \frac{{u + 1}}{2}$ under some mild hypotheses on (M, g). This generalizes a well-known result of Obata which characterizes all round spheres. 相似文献
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Xinjian Zhang 《代数通讯》2017,45(11):4971-4973
In this paper, we studied the supersolvability of the product of two subgroups and got a generalization of Baer’s theorem. 相似文献
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E. A. Lebedeva 《Mathematical Notes》2010,88(5-6):717-722
We study the asymptotic behavior of the roots of polynomials given by a linear summation method for partial sums of the Fourier series. 相似文献
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Nekhoroshev discovered a beautiful theorem in Hamiltonian systems that includes as special cases not only the Poincaré theorem on periodic orbits but also the theorem of Liouville–Arnol’d on completely integrable systems [7]. Sadly, his early death precluded him publishing a full account of his proof. The aim of this paper is twofold: first, to provide a complete proof of his original theorem and second a generalization to the noncommuting case. Our generalization of Nekhoroshev’s theorem to the nonabelian case subsumes aspects of the theory of noncommutative complete integrability as found in Mishchenko and Fomenko [5] and is similar to what Nekhoroshev’s theorem does in the abelian case. 相似文献
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Hossein Hajiabolhassan 《Discrete Mathematics》2011,311(23-24):2663-2668
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Molly Dunkum 《Czechoslovak Mathematical Journal》2009,59(1):241-247
There is a classical result known as Baer’s Lemma that states that an R-module E is injective if it is injective for R. This means that if a map from a submodule of R, that is, from a left ideal L of R to E can always be extended to R, then a map to E from a submodule A of any R-module B can be extended to B; in other words, E is injective. In this paper, we generalize this result to the category q
ω consisting of the representations of an infinite line quiver. This generalization of Baer’s Lemma is useful in proving that
torsion free covers exist for q
ω.
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《Optimization》2012,61(2-3):129-141
This paper presents a vector valued variational principle by using a general concept of ?-efficiency and a nonconvex separation theorem 相似文献
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Aljoša Volčič 《Annali di Matematica Pura ed Applicata》2011,190(1):45-54
In this paper, we will study uniformly distributed sequences of partitions of [0, 1], a concept which has been introduced by Kakutani (Measure Theory 541:369–375, 1976). We will construct new families of u.d. sequences of partitions and study relations with the classical concept of uniformly distributed sequences of points. 相似文献
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In this paper we study Chaplygin’s Reducibility Theorem and extend its applicability to nonholonomic systems with symmetry
described by the Hamilton-Poincaré-d’Alembert equations in arbitrary degrees of freedom. As special cases we extract the extension
of the Theorem to nonholonomic Chaplygin systems with nonabelian symmetry groups as well as Euler-Poincaré-Suslov systems
in arbitrary degrees of freedom. In the latter case, we also extend the Hamiltonization Theorem to nonholonomic systems which
do not possess an invariant measure. Lastly, we extend previous work on conditionally variational systems using the results
above. We illustrate the results through various examples of well-known nonholonomic systems. 相似文献
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The Ramanujan Journal - We establish a vast generalization of an observation made by Marvin Knopp half a century ago concerning the nonvanishing of Ramanujan’s tau-function. 相似文献
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