Fitting the Rank-Size Rule to Legal Cities

Unraveling the Rank-Size Rule with Self-Similar Hierarchies

Many scientists are interested in but puzzled by the various inverse power laws with a negative exponent 1 such as the rank-size rule. The rank-size rule is a very simple scaling law followed by many observations of the ubiquitous empirical patterns in physical and social systems. Where there is a rank-size distribution, there will be a hierarchy with cascade structure. However, the equivalence...

Modelling of Population Migration to Reproduce Rank-Size Distribution of Cities in Japan

We investigate the rank-size distribution of cities in Japan by data analysis and computer simulation. From our previous data analysis of the census data after World War II, it has been clarified that the power exponent of the rank-size distribution of cities changes with time and Zipf’s law holds only for a restricted period. We show that Zipf’s law broke down owing to the great mergers and re...

New rank methods for reducing the size of the training set using the nearest neighbor rule

Some new rank methods to select the best prototypes from a training set are proposed in this paper in order to establish its size according to an external parameter, while maintaining the classification accuracy. The traditional methods that filter the training set in a classification task like editing or condensing have some rules that apply to the set in order to remove outliers or keep some ...

Can We Rank Legal Systems According to Their Economic Efficiency?

Legal Protection of the Right to Voice

Right on voice is one of the rights which protect of person’s voice and sound and prohibit of imitation (sound effects) and sound forgery. Today on the light of increasing developments of communications this right includes some forms and instances which protected by legal systems in different ways. In some of the legal systems, this right has recognized on the basis of personality rights and ri...