OFFSET
0,1
COMMENTS
This constant expresses the expected proportion of individuals that belong to reciprocal nearest-neighbor relationship pairs in a population of random patterns over a plane.
REFERENCES
E. C. Pielou, An Introduction to Mathematical Ecology, John Wiley & Sons, Inc. 1969. See pp. 121-122.
FORMULA
Equals Integral_{x=0..oo} 2*Pi*x*exp(-x^2*(sqrt(3)/2+4*Pi/3)) dx. [Pielou, 1969]
EXAMPLE
0.62150489688743159140596781880802827312707885...
MATHEMATICA
RealDigits[6Pi/(3Sqrt[3]+8Pi), 10, 100][[1]]
CROSSREFS
KEYWORD
AUTHOR
Stefano Spezia, Aug 26 2024
STATUS
approved