Ball
The 
-ball, denoted 
, is the interior of a Sphere 
, and sometimes also called the-Disk. (Although physicists often use the term ``Sphere'' to mean the solid ball, mathematiciansdefinitely do not!) Let 
denote the volume of an -D ball of Radius 
. Then
where
is the Erf function.See also Alexander's Horned Sphere, Banach-Tarski Paradox,Bing's Theorem, Bishop's Inequality, Bounded,Disk, Hypersphere, Sphere, Wild Point
References
Freden, E. Problem 10207. ``Summing a Series of Volumes.'' Amer. Math. Monthly 100, 882, 1993.
- Vinogradov's Theorem
- Virtual Group
- Visibility
- Visible Point
- Visible Point Vector Identity
- Vitali's Convergence Theorem
- Viviani's Curve
- Viviani's Theorem
- Vojta's Conjecture
- Volterra Integral Equation of the First Kind
- Volterra Integral Equation of the Second Kind
- Volume
- Volume Element
- Volume Integral
- von Aubel's Theorem
- von Dyck's Theorem
- von Mangoldt Function
- von Neumann Algebra
- von Staudt-Clausen Theorem
- von Staudt Theorem
- Voronoi Cell
- Voronoi Diagram
- Voronoi Polygon
- Voting
- VR Number