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931.
Dual actions with respect to U(1) gauge fields for the Born-Infeld and Dp-brane theories are reexamined. Taking into account an additional condition, i.e. a corollary to the field equation of the auxiliary metric, one obtains an alternative dual action that does not involve the infinite series in the auxiliary metric given by [M. Abou Zeid and C.M. Hull, Phys. Lett. B 428 (1998) 277], but just picks out the first term from the series formally. New effective interactions of the theories are revealed. That is, the new dual action gives rise to an effective interaction in terms of one interaction term rather than infinitely many terms of different (higher) orders of interactions physically. HOwever, the price paid for eliminating the infinite series is that the new action is not quadratic but highly nonlinear in the Hodge dual of a (p - 1)-form field strength. This non-linearity is inevitable under the requirement that the two dual actions are equivalent. 相似文献
932.
主要目的是利用Liouville反转公式来给出整数素因数间的一个新的对偶公式,从而推广了K.Alladi的基于Mbius反转公式的对偶引理. 相似文献
933.
Radu Ioan Bo? Ioan Bogdan Hodrea 《Journal of Mathematical Analysis and Applications》2006,322(1):316-328
We present some Farkas-type results for inequality systems involving finitely many functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function and convex inequality constraints. Some recently obtained results are rediscovered as special cases of our main result. 相似文献
934.
Radu Ioan Boţ Sorin-Mihai Grad Gert Wanka 《Mathematical Methods of Operations Research》2007,65(3):417-444
A general duality framework in convex multiobjective optimization is established using the scalarization with K-strongly increasing functions and the conjugate duality for composed convex cone-constrained optimization problems. Other
scalarizations used in the literature arise as particular cases and the general duality is specialized for some of them, namely
linear scalarization, maximum (-linear) scalarization, set scalarization, (semi)norm scalarization and quadratic scalarization.
相似文献
935.
Hsien-Chung Wu 《Fuzzy Optimization and Decision Making》2007,6(3):179-198
The weak and strong duality theorems in fuzzy optimization problem based on the formulation of Wolfe’s primal and dual pair
problems are derived in this paper. The solution concepts of primal and dual problems are inspired by the nondominated solution
concept employed in multiobjective programming problems, since the ordering among the fuzzy numbers introduced in this paper
is a partial ordering. In order to consider the differentiation of a fuzzy-valued function, we invoke the Hausdorff metric
to define the distance between two fuzzy numbers and the Hukuhara difference to define the difference of two fuzzy numbers.
Under these settings, the Wolfe’s dual problem can be formulated by considering the gradients of differentiable fuzzy- valued
functions. The concept of having no duality gap in weak and strong sense are also introduced, and the strong duality theorems
in weak and strong sense are then derived naturally. 相似文献
936.
We introduce and discuss the dual of a chain geometry. Each chain geometry is canonically isomorphic to its dual. This allows
us to show that there are isomorphisms of chain geometries that arise from antiisomorphisms of the underlying rings.
Received 13 December 2000. 相似文献
937.
A Mond–Weir type multiobjective variational mixed integer symmetric dual program over arbitrary cones is formulated. Applying the separability and generalized F-convexity on the functions involved, weak, strong and converse duality theorems are established. Self duality theorem is proved. A close relationship between these variational problems and static symmetric dual minimax mixed integer multiobjective programming problems is also presented. 相似文献
938.
C. Y. Wang X. Q. Yang X. M. Yang 《Journal of Optimization Theory and Applications》2007,135(1):85-100
In the context of an inequality constrained optimization problem, we present a unified nonlinear Lagrangian dual scheme and
establish necessary and sufficient conditions for the zero duality gap property. From these results, we derive necessary and
sufficient conditions for four classes of zero duality gap properties and establish the equivalence among them. Finally, we
obtain the convergence of an optimal path for the unified scheme and present a sufficient condition for the finite termination
of the optimal path.
This research was partially supported by the Research Grants Council of Hong Kong Grant PolyU 5250/03E, the National Natural
Science Foundation of China Grants 10471159 and 10571106, NCET, and the Natural Science Foundation of Chongqing 相似文献
939.
Wayne Lawton 《Journal of Fourier Analysis and Applications》2008,14(4):588-605
We prove that a real analytic subset of a torus group that is contained in its image under an expanding endomorphism is a
finite union of translates of closed subgroups. This confirms the hyperplane zeros conjecture of Lagarias and Wang for real
analytic varieties. Our proof uses real analytic geometry, topological dynamics, and Fourier analysis.
相似文献
940.
We investigate the connections between four-dimensional, N = 2 M-theory vacua constructed as orbifolds of type II, heterotic, and type I strings. All these models have the same massless spectrum, which contains an equal number of vector multiplets and hypermultiplets, with a gauge group of the maximal rank allowed in a perturbative heterotic string construction. We find evidence for duality between two type I compactifications recently proposed and a new heterotic construction that we present here. This duality allows us to gain insight into the non-perturbative properties of these models. In particular we consider gravitational corrections to the effective action. 相似文献