n this paper, we consider continuity properties(especially, regularity, also viewed as an approximation property) for $%mathcal{p}_{0}(x)$-valued set multifunctions ($x$ being a linear,topological space), in order to obtain egoroff and lusin type theorems forset multifunctions in the vietoris hypertopology. some mathematicalapplications are established and several physical implications of thema...

We present a preliminary computational model of visual analogy that uses fractal image representations that rely only on the grayscale pixel values of input images, and are mathematical abstractions quite rigorously grounded in the theory of fractal image compression. We have applied this model of visual analogy to problems from the Raven’s Progressive Matrices intelligence test, and we describ...

This paper reviews various approaches to modelling reality by differentiating notions of time which underly those models. Basic notions of time presupposed in physical theories are briefly described and analyzed in terms of the levels of description taken into account, the interfacial cut assumed between the observer and the rest of the world, the resulting observer perspectives and the extent ...

This paper describes the theories and techniques for designing linear and planar fractal arrays and compare their radiation pattern with conventional arrays. Fractals are recursively generated object having fractional dimension. We have compared radiation pattern of cantor linear arrays with conventional linear arrays using MATLAB program. Another program was developed to characterize the radia...

Fractal structure of the six-vertex model is introduced with the use of the IFS (Iterated Function Systems). The fractal dimension satisfies an equation written by the free energy of the six-vertex model. It is pointed out that the transfer matrix method and the n-equivalence relation introduced in lattice theories have also been introduced in the area of fractal geometry. All the results can b...

abstract the limitation of water sources in most places all over the world, especially in arid and semi-arid lands is an important issue for those who live in these areas. many governments have dedicated their efforts toward finding new water resources to obtain water. fog and cap clouds harvesting are one of the candidate methods to produce pure water. many countries including chile, peru, ecu...

Nano-suspensions (NS) exhibit unusual thermophysical behaviors once interparticle aggregations and the shear flows are imposed, which occur ubiquitously in applications but remain poorly understood, because existing theories have not paid these attentions but focused mainly on stationary NS. Here we report the critical role of time-dependent fractal aggregation in the unsteady thermal convectio...

spatial analysis of aeolian landforms by fractal theory (case study: ardestan rig) abstract natural sciences face to a great revolution, nowadays. now, scientists think the world as a collection of complex systems which prediction of consequences of this complex systems is so difficult. in this situation the systems have rotational act so irregularly lead to regular and regularly lead to irregu...

The fractal dimension of large-scale galaxy clustering has been reported to be roughly DF ∼ 2 from a wide range of redshift surveys. If correct, this statistic is of interest for two main reasons: fractal scaling is an implicit representation of information content, and also the value itself is a geometric signature of area. It is proposed that a fractal distribution of galaxies may thus be int...

A traditional wavelet is a special case of a vector in a separable Hilbert space that generates a basis under the action of a system of unitary operators defined in terms of translation and dilation operations. A Coxeter/fractal-surface wavelet is obtained by defining fractal surfaces on foldable figures, which tesselate the embedding space by reflections in their bounding hyperplanes instead o...