The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Powers of Distances on Unit Disk
Replies: 2   Last Post: Jul 7, 1996 3:24 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Kevin Brown

Posts: 31
Registered: 12/12/04
Powers of Distances on Unit Disk
Posted: Jul 6, 1996 11:04 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Let A[n] denote the average of the nth powers of the distances
between two points on a unit disk (radius=1). For example, the
average of the squares of distances between two points on a unit
disk is PI. The values of A[n] for the first few even values
of n are listed below:

average of nth
n powers of distances
----- ------------------
2 PI
4 (5/3)PI
6 (7/2)PI
8 (42/5)PI
10 22 PI
12 ?

What is the general expression for A[n]?

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.