In the first example, the underlying one parameter group is the transformation group in phase space generated by the vector field v = ω log | ω | R (160).
In the second example in Table 5, one parameter was set to zero, providing a case where there is no linkage from gene 1 to gene 3.
We also provide a detailed analysis of the solution for an illustrative one parameter example and propose a convex optimisation algorithm that can be applied more generally to a discretised approximation to the design problem.
For example, one may set forth parameters for a solution and seek out a solution that addresses these parameters.
Two numerical examples and one experimental example on the parameter estimation of a cable-stayed bridge model are presented to demonstrate the efficacy of component energy index and the alternative stabilization diagram.
We demonstrated the effectiveness of our proposed design with a few simple examples where we vary one parameter while keeping all others the same across sensors.
That is, it is assumed that in the population there is only one true population parameter, for example, one true mean or one true regression coefficient.
As an example, one comparison allowed the reinforcement rate parameter to vary across groups but the other 4 parameters were the same across groups; this tests whether variation in the reinforcement rate parameter was sufficient to produce the observed behavioral effects.
There is a well-known material equation for the couple stress with one parameter, see for example (Gao and Park 2007): begin{array}{*{20}l} mu_{ijk} = c S_{jk,i}, end{array} (32).
1One could take the number of neurons in each sub-population to be different provided that they all scaled with N. For example, one could identify the system size parameter N with the mean number of synaptic connections into a neuron in a sparsely coupled network.
