Background on Convex Sets

... 108 Chapter 1 Convex sets and convex functions taking the infinity value Chapter 1. Convex sets and convex functions taking the infinity value tvnguyen (University of Science) Convex Optimization ... 108 Chapter 1 Convex sets and convex functions taking the infinity value Quasi -convex functions However if the sublevel sets are convex,...

Ngày tải lên: 23/10/2013, 15:20

... that each of them implies CAP — one uses the given condition to linearize the approximation problem and thereby reduce it to the classical Oka- Weil approximation theorem for sections of holomorphic ... f p is holomorphic on X. We say that Y satisfies the parametric Oka property (POP) if for all such data Annals of Mathematics Runge approximation on convex se...

Ngày tải lên: 06/03/2014, 08:21

... the important as- pects of speaker accent characteristics and the significance of listener accent background in accent perception. One of the most crucial implications is that accent perception ... of accent perception, and provide a foundation for further investigation on the involvement of cognitive processing for accent perception. These findings...

Ngày tải lên: 22/06/2014, 06:20

... NANO EXPRESS The In uence of a Continuum Background on Carrier Relaxation in InAs/InGaAs Quantum Dot Gabriele Raino ` ặ Giuseppe Visimberga ặ Abdelmajid Salhi ặ Maria T. Todaro ặ Massimo ... high modal gain and high characteristic tem- perature. In this work we have investigated the carrier dynamics in MBE-grown InAs/InGaAs/ GaAs QDs emit- ting at 1.3 lm at r...

Ngày tải lên: 22/06/2014, 18:20

... Applications Volume 2007, Article ID 80987, 14 pages doi:10.1155/2007/80987 Research Article Remarks on Separation of Convex Sets, Fixed-Point Theorem, and Applications in Theory of Linear Operators Kamal ... separation of convex sets in an in nite-dimensional space X has the following known formulation. Theorem 2.2. Le t K 0 and K 1 be disjoint...

Ngày tải lên: 22/06/2014, 19:20

... 2002. [2] A. Kovalevsky and F. Nicolosi, On the sets of boundedness of solutions for a class of degen- erate nonlinear elliptic four th-order equations with L 1 -data,” Fundamentalnaya I Prikladnaya Matematika, ... Prikladnaya Matematika, vol. 12, no. 4, pp. 99–112, 2006. [3] A. Kovalevsky and F. Nicolosi, “Existence and regularity of solutions to a system...

Ngày tải lên: 22/06/2014, 19:20

... of accent perception, and provide a foundation for further investigation on the involvement of cognitive processing for accent perception. These findings contribute to a richer understanding of ... comprehension of the speech. Previous studies on accent perception have focused on detection of nonnative accent (e.g., Jilka [9]; Munro [10]), and on the per...

Ngày tải lên: 22/06/2014, 19:20

... i ≤ n − 1  . (2.16) 366 Quasicontraction nonself-mappings this paper we consider quasicontraction nonself-mappings on Takahashi convex metric spaces and common fixed point theorems for a pair ... Sessa, On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) (N.S.) 32(46) (1982), 149–153. [15] W. Takahashi, A convexity...

Ngày tải lên: 23/06/2014, 00:20

... Yao, Reid’s conjecture on score sets in tournaments, Kexue Tongbao 33 (1988) 481–484 (in Chinese). 7. T. X. Yao, On Reid’s conjecture of score sets for tournaments, Chinese Sci. Bull. 34 (1989) ... of Reid’s conjecture by pure arithmetical analysis which appeared in Chinese [6] in 1988 and in English [7] in 1989. In the following result, we prove that any set of p non...

Ngày tải lên: 06/08/2014, 05:20

... 51–72. [6] P. Diaconis and L. Saloffe-Coste, Walks on generating sets of group, Stanford Technical Report No. 481, July 1995, 36 pages. [7] P. Diaconis and L. Saloffe-Coste, Walks on generating sets of abelian ... most c r n 2 log n where the constant c r depends only on the order r of G . 1. Introduction One method often used in computational group theory for generating...

Ngày tải lên: 07/08/2014, 06:22

... and of mixed hypergraphs with maximum degree two [11, 12] are gap-free. Feasible sets of mixed hypergraphs with maximum degree three need not to be gap-free. The feasible sets of planar mixed ... that feasible sets of mixed hypertrees [10], mixed the electronic journal of combinat orics 11 (2004), #R19 2 5 Conclusion There exists a mixed hypergraph whose fe...

Ngày tải lên: 07/08/2014, 08:20

... 2z belongs to B ∗ . the electr onic journal of combinatorics 11 (2004), #R52 5 On the chromatic number of intersection graphs of convex sets in the plane ∗ Seog-Jin Kim Department of Mathematics University ... −M(C) 4 Intersection graphs of convex sets with different sizes In this section, we study a more general case. Two convex sets K, D on t...

Ngày tải lên: 07/08/2014, 08:20

... #R27 12 The maximum piercing number for some classes of convex sets with the (4, 3)-property Jan Kynˇcl Martin Tancer Department of Applied Mathematics and Institute for Theoretical Computer ... prove that the maximum possible piercing number is 2 for the collections of segments and 3 for the collections of the other two types. 1 Introduc...

Ngày tải lên: 07/08/2014, 15:23

... of D in V constitute a dominating set of T . The following variant of majority tournaments will prove useful for generating bounds for the size of dominating sets. Definition 1. A (t, m)-asymmetric ... partition of the vertex set V = A∪B, it may be that of the dominating set two vertices are in A and one in B. The following corollary shows that the dominating set may alwa...

Ngày tải lên: 08/08/2014, 14:23

... A   . As immediate consequences of the definition note that intersections of convex sets are convex, affine images and pre-images of convex sets are convex and if ,AB are convex then AB and ... is convex and concave. The following assertions are immediate consequences of the definition. The supremum of (arbitrarily many) convex functions is convex if it is proper...

Ngày tải lên: 02/11/2014, 04:00