Sep 1954
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1954natur.174..565a&link_type=abstract
Nature, Volume 174, Issue 4429, pp. 565-566 (1954).
Physics
9
Scientific paper
THE problem of random fragmentation of a line into a finite number of N parts has received considerable attention, partly because of its application in assessing the randomness of radioactive disintegrations and cosmic ray events. For a line of length l the average number of fragments equal to or greater than x is1: This equation is readily applied to discuss2 an idealized case of random fragmentation of area. Consider a rectangle of sides l1 and l2 (area Σ = l1l2) and imagine it to be divided into subrectangles by drawing at random N1and N2 lines respectively parallel to the two sides of the rectangle. If N(S) be the average number of elements of area equal to or exceeding S, we have, using equation (1): where K1(z) is the usual Bessel function of imaginary argument, N0= N1N2 is the total number of elements and S0 the average area of an element, For S>>S0 we obtain the approximate relation:
Auluck F. C.
Kothari D. S.
No associations
LandOfFree
Random Fragmentation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Random Fragmentation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random Fragmentation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1413999