Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 23829
11 votes

Moments of area of random triangle inscribed in a circle

Let $A_d$ be the area of a triangle whose vertices are chosen uniformly at random from a unit sphere in $\mathbb{R}^d$. I claim that for $d\ge 2$ and $m\ge 1$: $$ E(A_d^{2m})=\frac{3}{4^m} \prod _{q …
Greg Egan's user avatar
  • 2,902
5 votes

Moments of area of random triangle inscribed in a circle

Though this does not directly address the moments question, I was curious as to whether the full probability distribution for the triangle area could be written in closed form. It turns out that this …
Greg Egan's user avatar
  • 2,902