Cube Line Picking--Face and Interior
المؤلف:
Mathai, A. M.; Moschopoulos, P.; and Pederzoli, G.
المصدر:
الجزء والصفحة:
61-81
6-2-2020
939
Cube Line Picking--Face and Interior
Consider the distribution of distances 
between a point picked at random in the interior of a unit cube and on a face of the cube. The probability function, illustrated above, was found in (nearly) closed form by Mathai et al. (1999). After simplifying, correcting typos, and completing the integrals, gives the closed form
 |
(1)
|
The first even raw moments 
for 
, 2, 4, ... are 1, 2/3, 11/18, 211/315, 187/225, 11798/10395, ....
REFERENCES:
Mathai, A. M.; Moschopoulos, P.; and Pederzoli, G. "Distance between Random Points in a Cube." J. Statistica 59, 61-81, 1999.
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
