Let H(B) be the space of all holomorphic functions on the unit ball B in CN , and S(B) the collection of all holomorphic self-maps of B . Let φ ∈ S(B) and g ∈ H(B) with g(0) = 0 , the generalized composition operator is defined by C φ ( f )(z) = ∫ 1 0 R f (φ(tz))g(tz) dt t , Here, we characterize the boundedness and compactness of the generalized composition operator acting from Bloch-type spac...

A method is presented for solving the Bloch equation for Morse potential, based on the application of Fourier transformation of the density matrix. The results obtained agree completely with the results obtained by other methods, however its advantage lies in its elegance and intuitivity of the approach. q 2000 Elsevier Science Ltd. All rights reserved.

Introduction This paper proposes the concept of autonomous drug-encapsulated nanoparticle (ADENP) as a novel non-invasive approach to prevent atherosclerosis. ADENP consists of three simple units of sensor, controller (computing), and actuator. The hardware complexity of ADENP is much lower than most of the nanorobots, while the performance is maintained by the synergism in the swarm architectu...

Imbed a n w 1 sphere in an n sphere, and the complement is divided into two components. I t seems that the closure of each of the resulting components should be a topological w-cell. This statement isn't true. The classical counterexample (in dimension 3) is the Alexander Horned Sphere. I t was conjectured, however, that if one restricts one's attention to some class of well-behaved imbeddings,...

in cultural semiotics as posed by tartu-moscow circle the concepts of cultural sphere, border, and the (non)cultural other and the dialogue between this cultural self and that other on the borders are very critical. the mechanism of intercultural translation and the processes of inclusion and exclusion govern this intercultural dialogue. such communication between cultures, in order to be reali...

finding a suitable estimation of stability domain around stable equilibrium points is an important issue in the study of nonlinear dynamical systems. this paper intends to apply a set of analytical-numerical methods to estimate the region of attraction for autonomous nonlinear systems. in mechanical and structural engineering, autonomous systems could be found in large deformation problems or c...

theory and its applications to autonomous underwater vehicles. Leonard's talent lies in creatively exploring solutions to control problems through combining diverse expertise in such areas as mechanics, mathematics, computer science, and robotics with an interest in biology, oceanography, and ecology. Most recently, she has been organizing groups of robotic underwater vehicles to create an adap...

Assuming the Bloch-Kato Conjecture, we determine precise conditions under which Hilbert 90 is valid for Milnor k-theory and Galois cohomology. In particular, Hilbert 90 holds for degree n when the cohomological dimension of the Galois group of the maximal p-extension of F is at most n.

A quantum breather on a translationally invariant one-dimensional anharmonic lattice is an extended Bloch state with two or more particles in a strongly correlated state. We discuss several effects that break the lattice symmetry and lead to spatial localization of the breather.

The sequential coalition formation model of Bloch (1996) to solve cooperative games with externalities exhibits some anomalies when related to classical concepts. We elaborate on these problems, define a modification of Bloch’s model and show that its order-independent equilibria coincide with the (pessimistic) recursive core (Kóczy, 2007). Subject classification: C71, C72