Utilizing the hyperspace of noise-based logic, we show two string verification methods with low communication complexity. One of them is based on continuum noisebased logic. The other one utilizes noise-based logic with random telegraph signals where a mathematical analysis of the error probability is also given. The last operation can also be interpreted as computing universal hash functions w...

The main problem addressed in this paper is how to help learners reflect on knowledge that they have constructed in exploring existing hypermedia/hypertext based learning resources on the Web. Our approach to this problem is to provide each learner with a kind of reflection support proper to his/her exploration process. In this paper, we describe an interactive history that encourages learners ...

In the present paper proved that if for a given compact Hausdorff space X hyperspace exp(X) is contractible then OSf(X) also space. As consequence it established of semi-additive functionals absolute (neighbourhood) retract and only so.

Let PR(X) denote the hyperspace of nonempty finite subsets a topological spaceX with Pixley-Roy topology. In this paper, by introducing closed-miss-finite networks and using principle ultrafilters, we proved that following statements are equivalent for space X: (1) is weakly Rothberger; (2) X satisfies S1(?rcf ,?wrcf ); (3) separable ? {x} S1(?cf ,?wcf ) each x X; (4) principal ultrafilter F [x...

The design of closed-loop structural control systems necessitates a certain level of robustness to cope with system uncertainties. Neurocontrollers, a type of adaptive control system, have been proposed to cope with those uncertainties. However, the performance of neural networks can be substantially influenced by the choice of the input space, or the hyperspace in which the representation lies...

Users tend to lose their way in the maze of information within hypertext. Much work done to address the \lost in hyperspace" problem is reactive, that is, doing remedial work to correct the de ciencies within hypertexts because they are (or were) poorly designed and built. What if solutions are sought to avoid the problem? What if we do things well from the start? This paper reviews the \lost i...

Purchasing a product on the Web is difficult as the product space is gigantic, users often have difficulty specifying what they want, and current systems do not help users leam as they explore the space. The idea in this thesis is to utilize a genetic algorithm to efficiently navigate this hyperspace. From examples, product specifications can be inferred and used to explain the functioning of t...

Let C(X) be the hyperspace of all subcontinua of a metric continuum X. Alejandro Illanes has proved that C(X) is a finitedimensional Cartesian product if and only if X is an arc or a circle. In this paper we shall prove, using the inverse systems and limits, that if X is a non-metric rim-metrizable continuum and C(X) is a finitedimensional Cartesian product, then X is a generalized arc or a gen...

The paper presents an interesting study that how the user surfing behavior with respect to the organization of a web space affects the performance of a prefetch enabled proxy. We have conducted experiments based on a novel hyperspace aware prefetch proxy and have studied the prefetch performance on several dominant hyperspace patterns including chain, tree, and complete graph sub-structures. Th...

The management of firewalls in today’s enterprise network environment is a complex and error-prone task. Effective techniques and tools for administrating the firewall configurations should be available to network administrators. In this paper, we present such a technique by using the geometry technology to model the firewall configurations. Each filtering rule is mapped onto a hyperspace objec...