Re: Topics on influence

[Stuart Cracraft <cracraft@xxxxxxxxxxxxx>]

Could you please demonstrate this with some simple
examples of small fragment-boards and the calculation
of influence for the stones involved?

To the group... 

At 07:05 PM 3/29/99 -0800, you wrote:
>
>>
>>This is just an idea. What other units of influence exist?
>>
>>I think it is important to undestand the unit of influence. The ad hoc
>>solutions that just flood arbitrary numbers around the board are perhaps
>>not satisfactory. I don't claim they aren't useful, though.
>
>I don't think we are flooding arbitrary numbers exactly.  We all have some
>rationale for the choices we make.  
>
>I like best the idea that the influnce of each color measures the
>probability that a stone of that color can be placed there and live.
>
>Michael Reiss comes close to this with his probability that a stone
>can be placed at a point and be connected to a living group.
>
>Patterns can obviously help make calculate this kind of influence.
>For example, patterns of edge shapes that can be invaded.
>
>Many Faces radiates 1/distance from each stone an sums at each
>point for each color.  I picked the 1/distance function, since
>in two dimensions a completely surrounded area will have constant
>value inside no matter how big.  This makes the influence function
>a little optimistic.  The constant value is chosen so that a wall
>will radiate a total of two points per stone. 
>
>David
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