Abstract
Denote by Bn(R) a ball of radius R in n -dimensional space. Successively choose points C, A ∈ Bn(R) at random. Then the probability that the n -dimensional ball Bn(C, AC) , having center C and radius AC , is entirely contained in Bn(R) is n!n!=(2n)! . The result holds for every metric and . It can be generalized to n -dimensional cubes in n -dimensional cuboids.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.