scholarly journals Shard weight: a new look at the numbers

2017 ◽  
Author(s):  
Stefano Costa
Keyword(s):  
Statistical Analysis ◽  
Normal Distribution ◽  
Social Value ◽  
Archaeological Interpretation ◽  
Log Normal ◽  
Log Normal Distribution ◽  
New Look

Weight of single ceramic sherds from archaeological contexts has a log-normal distribution. This property can be used for a purely quantitative statistical analysis of contexts. Rather than focusing on the economic and social value of ceramics, quantification is used to evaluate depositional histories and verify or improve archaeological interpretation.

Statistical analysis and modeling of residential buildings for artificial Beijing reconstruction

2016 ◽  
Vol 07 (02) ◽  
pp. 1650003
Author(s):  
Zhi-Chao Song ◽  
Rong-Qing Meng ◽  
Hong Duan ◽  
Xiao-Gang Qiu
Keyword(s):  
Statistical Analysis ◽  
Normal Distribution ◽  
Nonlinear Regression ◽  
Statistical Models ◽  
Residential Buildings ◽  
The Real ◽  
Artificial Society ◽  
Environment Model ◽  
Log Normal ◽  
Log Normal Distribution

Environment model is an important component of an artificial society. To level up the resolution of residence-building environment models in artificial Beijing, we divide residential buildings in Beijing into two categories, which are noncommunity residential buildings and community residential buildings, and statistically analyze the numbers of floors and areas of the real residential buildings. In this paper, we have exhibited the distribution of numbers of floors in noncommunity residential buildings and community residential buildings. Furthermore, we analyze the distribution of areas of noncommunity residential buildings and residence-use proportions of community zones by Nonlinear Regression. Results indicate that areas of noncommunity residential buildings in Beijing obey the log-normal distribution and residence-use proportions of community zones obey normal distribution. According to the statistical models, the virtual residential buildings in artificial Beijing can be endowed with rational attribute values.

scholarly journals A Universal Model for the Log-Normal Distribution of Elasticity in Polymeric Gels and Its Relevance to Mechanical Signature of Biological Tissues

Biology ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 64
Author(s):  
Arnaud Millet
Keyword(s):  
Elastic Modulus ◽  
Normal Distribution ◽  
Biological Tissues ◽  
Force Microscopy ◽  
Polymeric Gels ◽  
Atomic Force ◽  
Clear Explanation ◽  
Log Normal ◽  
Log Normal Distribution

The mechanosensitivity of cells has recently been identified as a process that could greatly influence a cell’s fate. To understand the interaction between cells and their surrounding extracellular matrix, the characterization of the mechanical properties of natural polymeric gels is needed. Atomic force microscopy (AFM) is one of the leading tools used to characterize mechanically biological tissues. It appears that the elasticity (elastic modulus) values obtained by AFM presents a log-normal distribution. Despite its ubiquity, the log-normal distribution concerning the elastic modulus of biological tissues does not have a clear explanation. In this paper, we propose a physical mechanism based on the weak universality of critical exponents in the percolation process leading to gelation. Following this, we discuss the relevance of this model for mechanical signatures of biological tissues.

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