[Go Study] Stone Position & Importance

[Mousheng Xu <xu@xxxxxxxxxx>]

Hi, smart guys,
	You all know the most important position at the very beginning is around
position (4,4). I am thinking about relating the position of a stone with
its importance (or its value). 
	1. Suppose (4,4) is the best (some people may disagree) position on board
at start, we can easily propose some thing like
f(x,y)=1/(1+(x-4)^2+(y-4)^2), but how do we know it is a good one based on
logic or statistics? 
	2. Suppose the value of the first stone on board is determined by two
factors: how close it is to the corner (territory) and how far it is to the
center point (influence). There are a couple of theses which discuss the
influence function. Are there any thing, or could you propose something
about the affect of the border or corner? Even the influence functions
discussed in Zobrist's and Ryder's theses are quite arbitury, how do you
think?
	Thanks.

--Mousheng