We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the twopoint compactification of a locally compact ...

In the case of fractals and similarly complex objects, quantities such as length, area and volume may be infinite, or rather undefined. Hence it is necessary to consider other notions of measurement when comparing fractals. This report aims to motivate such a measure and show that it contains many of the intuitive properties of dimension. Furthermore, some methods for measuring this ‘fractal di...

A number of Hausdorff-based algorithms have been proposed for finding objects in images. We evaluate different measures and argue that the Hausdorff Average distance measure outperforms other variants for model detection. This method has improved robustness properties with respect to noise. We discuss the algorithms with respect to typical classes of noise, and we illustrate their relative perf...

Introduction: health is one the greatest blessings of great lord to people. many researches have been done that analyzed relation between prayer and health that most of them was about mental health. Physical health is a dimension of life that is importance and few researches have been done about it then in this article, we want study the relationship between pray and physical health among the i...

predicting the sawability of the dimension stone is one of the most important factors involved in production planning. moreover, this factor can be used as an important criterion in the cost estimation and planning of the stone plants. the main purpose for carrying out this work was to rank the sawability of the dimension stone using the promethee method. in this research work, four important p...

methods this was across-sectional study, which audited 228 general practitioner offices randomly. the data from offices was collected based on researcher-made checklist, the validity of which was approved. firstly, descriptively analysis of data was done and then, the relationship between clinics characteristics and compliance with standards was assessed using analysis of variance (anova) and t...

The fractal and self-similarity properties are revealed in many real complex networks. However, the classical information dimension of complex networks is not practical for real complex networks. In this paper, a new information dimension to characterize the dimension of complex networks is proposed. The difference of information for each box in the box-covering algorithm of complex networks is...