When constructing symplectic manifolds it is natural to wonder whether topological techniques using handles can be made to work symplectically. Weinstein [6] and Eliashberg [2] have shown how to do this in certain cases; here we present two new symplectic “handle-byhandle” constructions in dimension four. In such constructions it is desirable to retain control of the symplectic form near the bo...

Let k~l be an integer, and let G = (V, E) be a graph. The closed kneighborhood N k[V] of a vertex v E V is the set of vertices within distance k from v. A 3-valued function f defined on V of the form f : V --+ { -1,0, I} is a three-valued k-neighborhood dominating function if the sum of its function values over any closed k-neighborhood is at least 1. The weight of a threevalued k-neighborhood ...

In this paper we present conditions which guarantee that every digitization process preserves important topological and di erential geometric properties. These conditions also allow us to determine the correct digitization resolution for a given class of real objects. Knowing that these properties are invariant under digitization, we can then use them in feature-based recognition. Moreover, the...

This paper studies the influence of factors such as heating rate, atomic number, temperature, and annealing time on structure crystallization process NiAu alloy. Increasing rate leads to moving from crystalline state amorphous state; increasing temperature (T) also a changing into liquid when number (N), t increase, it an increased process. As result, dependence between size (l) total energy sy...

This supplementary material contains the proof of Theorem 7.1 in the main paper. The following lemma is useful. Lemma 0.1. For a general loss function Ln, suppose it is twice differentiable in a neighborhood of β0. Assume max l / ∈S ∣∣∣∣∂Ln(β0) ∂βl ∣∣∣∣ = op(P ′ n(0)), (0.1) and there is a neighborhood U ⊂ R of β0S such that sup βS∈U max l / ∈S,j∈S ∣∣∣∣∂2Ln(βS, 0) ∂βl∂βj ∣∣∣∣ = op(P ′ n(0) skn ...

Utility-based power control in wireless networks has been widely recognized as an effective mechanism to managing co-channel interferences. It is based on the maximization of system utility subject to power constraints, which is referred to as power control optimization problem. Global coupling between the mutual interference of wireless channels increases the difficulty of searching global opt...

Recently several authors demonstrated random fixed point theorems for various classes of multifunctions ([7], [8], [2], [3], [12], [10]). On the other hand we do not know any work on applications of these theorems. In this paper we apply to games and dynamic programming a random analogue of the Fan-Kakutani fixed point theorem. We consider a zero-sum two-person game depending on a random parame...

An interferon-induced endoribonuclease, ribonuclease L (RNase L), is implicated in both the molecular mechanism of action of interferon and the fundamental control of RNA stability in mammalian cells. RNase L is catalytically active only after binding to an unusual activator molecule containing a 5'-phosphorylated 2',5'-linked oligoadenylate (2-5A), in the N-terminal half. Here, we report the c...

We consider the Born-Infeld system in a bounded domain. In order to get nontrivial solution, we extend the original Born-Infeld system. For extended Born-Infeld system with convex lower order term, under the Dirichlet condition or the Neumann condition, Chen and Pan showed the existence of weak solution and its regularity, and then the author of this paper extended their results. For the concav...

development, a concept that is called often to process of moving from point to another that covers various aspects such as economic growth, structural change, industrialization, self-actualization and cultural, religious, national and individual self-reliance. a sustainable development is a new concept of economic growth. a growth that is as justice and opportunity for all people that living in...