更改

\sigma=\frac{\mbox{Descendants}}{\mbox{Ancestors}}

\sigma=\frac{\mbox{Descendants}}{\mbox{Ancestors}}

</math>

</math>

where ''Ancestors'' is the number of processing units active at time step ''t'' and ''Descendants'' is the number of processing units active at time step ''t + 1''. There are three general regimes for <math>\sigma\ ,</math> as shown in the figure.

 

其中'''Ancestors'''是在时间步长'''t'''时活跃的处理单元的数量，'''Descendants'''是在时间步长'''t+1'''时活跃的处理单元的数量。如图所示，<math>\sigma</math>有三种一般状态。

[[Image:分支模型捕获数据的两个主要特征.jpg|thumb|550px|left|图7：分支模型捕获数据的两个主要特征。A branching model captures the two main features of the data. A, Avalanche size distribution from data and model compared, showing fairly close correspondence.  Note that both show a straight line portion in log-log space, extending over avalanche sizes 1-35. Model was tuned to the critical point such that the branching parameter, <math>\sigma\ ,</math> equaled unity. There were no other free parameters. B, Three families of significantly similar avalanches produced by the model. Note similarity to avalanche families produced by actual data shown earlier.]]

[[Image:分支模型捕获数据的两个主要特征.jpg|thumb|550px|left|图7：分支模型捕获数据的两个主要特征。A branching model captures the two main features of the data. A, Avalanche size distribution from data and model compared, showing fairly close correspondence.  Note that both show a straight line portion in log-log space, extending over avalanche sizes 1-35. Model was tuned to the critical point such that the branching parameter, <math>\sigma\ ,</math> equaled unity. There were no other free parameters. B, Three families of significantly similar avalanches produced by the model. Note similarity to avalanche families produced by actual data shown earlier.]]