the aim of this study was to identify various sulfidic mineralized zones in the ghare-tappeh cu deposit (nw iran) based on geo-electrical data including induced polarization (ip) and resistivity (rs) using the concentration-volume (c-v) and number-size (n-s) fractal models. the fractal models were used to separate high and moderate sulfidic zones from low sulfidic zones and barren wall rocks. b...

This paper investigates the problem of non-fragile L2–L∞ filter design for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system with neutral delay and parameter uncertainties. The addressed problem is the design of a non-fragile fuzzy filter such that the error system is robustly stochastic stable and the filtering error system can tolerant some level of the gain variations in the filter. Base...

Some necessary and sufficient conditions allowing a previously unknown space to be explored through scanning operators are reexamined with respect to measure theory. Some generalized conceptions of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal proper...

We prove new lower bounds for learning intersections of halfspaces, one of the most important concept classes in computational learning theory. Our main result is that any statistical-query algorithm for learning the intersection of √ n halfspaces in n dimensions must make 2 √ n) queries. This is the first non-trivial lower bound on the statistical query dimension for this concept class (the pr...

This paper presents the synchronization of chaotic systems subject to parameter uncertainties. Based on the fuzzy models of chaotic systems, a fuzzy controller is designed to realize chaotic synchronization. A design criterion of the membership functions of fuzzy controller is proposed to facilitate the stability design towards chaotic synchronization when parameter uncertainties are under cons...

This paper is concerned with stabilization problem of continuous-time Takagi-Sugeno fuzzy systems. To do this, the stabilization problem is investigated based on the new fuzzy Lyapunov functions (NFLFs). The NFLFs depend on not only the fuzzy weighting functions but also their first-time derivatives. The stabilization conditions are derived in terms of linear matrix inequalities (LMIs) which ca...

We study the statistical properties of spectrum and eigenstates of the Google matrix of the citation network of Physical Review for the period 1893-2009. The main fraction of complex eigenvalues with largest modulus is determined numerically by different methods based on high-precision computations with up to p = 16384 binary digits that allow us to resolve hard numerical problems for small eig...

This paper presents a general mathematical model for the morphometric description of trees. This model is based on the introduction of fractal theory, and more particularly of the concept of self-similarity, into a statistical physics rationale. Fractal theory provides the necessary tools to describe the complexity of tree structure. Statistics, when applied to physics, makes it possible to exp...

We calculate the average hydrodynamic stress on fractal aggregates of spheres using Stokesian dynamics. We find that for fractal aggregates of force-free particles, the stress does not grow as the cube of the radius of gyration, but rather as the number of particles in the aggregate. This behavior is only found for random aggregates of force-free particles held together by hydrodynamic lubricat...

Abstract We introduce the notion of a product fractal ideal ring using permutations finite sets and multiplication operation in ring. This generalizes concept an obtain corresponding quotient structure that partitions under certain conditions. prove isomorphism theorems illustrate involved with examples. These extend classical rings, providing broader viewpoint.