Various modifications of the mean-field renormalisation group method are analysed to study the convergence of the critical coupling and critical exponents to their exact values as the cluster size increases. Appropriate choice of the length scaling factor o r of the scaling quantity can give appreciable improvement over the concentional procedure for short clusters. The best Lalues are achieved...

This study investigates the correlations between physical and perceptual spaces of voiceless Japanese fricatives /f s S C h/, using Multidimensional Scaling technique. The spatial configurations were constructed from spectral distance measures and perceptual similarity judgements. The results show that 2-dimensional solutions adequately account for the data and the correlations between the two ...

2014 We show that the assumptions of critical scaling imply essential singularities in the limit where Tc = 0 and power laws of the temperature for Tc 0 which are appropriate to describe realistic physical situations such as e.g. heavy fermions. We discuss also the effects of a dimensional cross-over as well as that of dilution and disorder. J. Phys. France 49 (1988) 1211-1217 JUILLET 1988, Cla...

Africa's trade is impeded by poor infrastructure. Inadequate transport infrastructure raises costs analogous to trade barriers, while inadequate power discourages investment. Yet Africa's infrastructure needs greatly exceed its capacity to finance them. There is therefore a need, and an opportunity, for substantial foreign private finance. However, to date, while private finance routinely finan...

The fundamental solution (Green function) for the Cauchy problem of the space-time fractional diffusion equation is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. Then, by using the Mellin transform, a general representation of the Green function in terms of Mellin-Barnes integrals in the complex plane is derived. This allow...

I define the concepts of multifuncoid (and completary multifuncoid) and upgrading. Then I conjecture that upgrading of certain multifuncoids are multifuncoids (and that upgrading certain completary multifuncoids are completary multifuncoids). I have proved the conjectures for n 6 2. The main conjecture from this article is now proved in the article “Multidimensional Funcoids“ This short article...

Multidimensional scaling (MDS) is a generic name for a family of algorithms that construct a configuration of points in a target metric space from information about inter-point distances measured in some other metric space. Large-scale MDS problems often occur in data analysis, representation and visualization. Solving such problems efficiently is of key importance in many applications. In this...

Multidimensional scaling (MDS) techniques are statistical techqnies that convert information about distances between a number of objects into a spatial representation of these objects. These techniques were first discussed systematically in psychometrics [Torgerson, 1958; Coombs, 1964] as multidimensional extensions of univariate psychophysics and sensory scaling. Because they needed considerab...