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Stirling numbers of the second kind

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Stirling numbers of the second kind [¦stər·liŋ ‚nəm·bərz əvthə ′sek·ənd ‚kīnd]
(mathematics)
The numbersS(n,r) giving the numbers of ways thatnelements can be distributed amongrindistinguishable cells so that no cell remains empty.


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In the case where Z is a hypercube with edges parallel to those of the objects, the expected value of this natural estimator, or reduced mean connectivity (RMC), is equal to [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4) In this expression, a is the edge length of the hypercubic field, and the S(i, j)'s are the Stirling numbers of the second kind (cf.
n, L](MaxSol) is governed by exponential order of Stirling numbers of the second kind and of multinomial coefficients.
 
 
 
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