Kac Formula
The expected number of Real zeros 
of a Random Polynomial of degree 
is
 |  |  | (1) |
|  | (2) |
As
, | (3) |
 | (4) |
References
Edelman, A. and Kostlan, E. ``How Many Zeros of a Random Polynomial are Real?'' Bull. Amer. Math. Soc. 32, 1-37, 1995. Kac, M. ``On the Average Number of Real Roots of a Random Algebraic Equation.'' Bull. Amer. Math. Soc. 49, 314-320, 1943. Kac, M. ``A Correction to `On the Average Number of Real Roots of a Random Algebraic Equation'.'' Bull. Amer. Math. Soc. 49, 938, 1943.
- Regular Function
- Regular Graph
- Regular Isotopy
- Regular Isotopy Invariant
- Regularity Theorem
- Regularized Beta Function
- Regularized Gamma Function
- Regular Local Ring
- Regular Number
- Regular Parameterization
- Regular Patch
- Regular Point
- Regular Polygon
- Regular Polyhedron
- Regular Prime
- Regular Ring
- Regular Sequence
- Regular Singularity
- Regular Singular Point
- Regular Surface
- Regular Triangle Center
- Regulus
- Reidemeister Moves
- Reidemeister's Theorem
- Reinhardt Domain