using a generalized spherical mean operator, we obtain the generalizationof titchmarsh's theorem for the dunkl transform for functions satisfyingthe lipschitz condition in l2(rd;wk), where wk is a weight function invariantunder the action of an associated reection groups.

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

The notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations and applications in different subjects, such as statistical mechanics, information theory, and dynamical systems. Fujii and Kam...

Current human-computer interface design relies too heavily on a traditional model that casts the human as an operator of a dumb machine. Methods of human-computer interaction based on the keyboard and mouse alone require reevaluation, insofar as they do not foster a personable dialogue between the user and the computer. The ideal interface uses, among other things, knowledge of the position of ...

Hilbert frames theory have been extended to frames in Hilbert $C^*$-modules. The paper introduces equivalent $*$-frames and presents ordinary duals of a constructed $*$-frame by an adjointable and invertible operator. Also, some necessary and sufficient conditions are studied such that $*$-frames and ordinary duals or operator duals of another $*$-frames are equivalent under these conditions. W...

Design space explorers are information-rich environments conceived for providing effective support for electronic design processes. A subsumption-based design space structures the partial designs in the environment by a relation of information specificity. It provides formal exploration operators for predictive, goal-directed movement in the underlying space of designs and an interaction model ...

Lung cancer is one of the most serious health problems in the world. Lung Computer-Aided Diagnosis (CAD) is a potential method to accomplish a range of quantitative tasks such as early cancer and disease detection, analysis of disease progression. Edge detection in Lung image is a fundamental step in CAD system and many algorithms have suggested for edge detection in image. In this paper a new ...

Within the context of video surveillance, object and incident detection by an operator is minimized in overand under-exposed pixels. Multiple different exposures of the same scene can be fused to create a well-balanced and detailed image that is meaningful to a human operator or surveillance system. We present an implementation for real-time video enhancement using videos of varying exposures. ...

We explore a connection between different ways of representing information in computer science. We show that relational databases, modules, algebraic specifications and constraint systems all satisfy the same ten axioms. A commutative semigroup together with a lattice satisfying these axioms is then called an “information algebra”. We show that any compact consequence operator satisfying the in...