Multi-Dimensional Law

Multi-dimensional Dynamical Systems and Benford’s Law

One-dimensional projections of (at least) almost all orbits of many multidimensional dynamical systems are shown to follow Benford’s law, i.e. their (base b) mantissa distribution is asymptotically logarithmic, typically for all bases b. As a generalization and unification of known results it is proved that under a (generic) non-resonance condition on A ∈ Cd×d, for every z ∈ Cd real and imagina...

Divorce: An International Multi-dimensional Challenge

  Divorce is one the most important public health problems which may affect many people especially parents, children, and their close relatives. To emphasize the importance of divorce worldwide, the world figures of some countries have been compared. According to transition from a traditional ...

Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations

In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subs...

Multi - dimensional

INTUITIONISTIC FUZZY DIMENSIONAL ANALYSIS FOR MULTI-CRITERIA DECISION MAKING

Dimensional analysis, for multi-criteria decision making, is a mathematical method that includes diverse heterogeneous criteria into a single dimensionless index. Dimensional Analysis, in its current definition, presents the drawback to manipulate fuzzy information commonly presented in a multi-criteria decision making problem. To overcome such limitation, we propose two dimensional analysis ba...