Probabilities in the Galaxy
A Distribution Model for habitable Planets
Copyright © Klaus Piontzik Claude Bärtels

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German Version    


13.2.2 - Differentiation for Shape Possibilities

There is still a refinement in the probability of Shape possibilities.

Shape is dependent on r conditions.
That they form the set R of Shape possibilities.
Then each element contributes to the overall probability. This part is:

13.2.2.1 Equation


Es ist: 0 < j < r + 1


Then applies to the total probability of Shape possibilities:

13.2.2.2 Equation


A differentiation of the individual components is obtained by weighting the individual elements.

13.2.2.3 Equation


Then the probability of Shape possibilities is:


13.2.2.4 Equation


Overall, the probability of Shape possibilities is:

13.2.2.5 Equation


Equation 13.2.2.5 is the most general approach that can be made for any set R of Shape prerequisites, that can still be weighted in their action by the dj.

In a first approach, it is assumed that all parts have the same effect, so that the weighting factors are all one, equation 13.2.2.2 applies.

13.2.2.6 Approach The weighting factors are set equal to one
d1 = d2 = ... = dj = ... = dn = 1

Here are 6 components called shape possibilities allow.
It applies to the single probability: fj = 1:42

Therefore, 6 possibilities can occur.
Thus, the chance of
Development Barriers arises 1 to 7. That corresponds to a share of 14,28 %.
he probability factor for
Development Barriers is thus Fi = 0,1428... = 1:7.

This approach is used in all following considerations as the basis of the calculations.

 

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