Poincaré Separation Theorem
Let 
be a set of orthonormal vectors with 
, 2, ..., 
, such that the Inner Product 
. Then set
 | (1) |
for which the product 
is defined, the correspondingQuadratic Form is | (2) |
 | (3) |
, 2, ..., , it follows that | (4) |
 | (5) |
, 2, ..., and 
, 1, ..., 
.
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1120, 1979.
- Rhombohedron
- Rhomboid
- Rhomboidal Dodecahedron
- Rhombus
- Rhumb Line
- Ribbon Knot
- Ribet's Theorem
- Riccati-Bessel Functions
- Riccati Differential Equation
- Ricci Curvature
- Ricci Tensor
- Rice Distribution
- Richardson Extrapolation
- Richardson's Theorem
- Richard's Paradox
- Ridders' Method
- Ridge
- Riemann-Christoffel Tensor
- Riemann Curve Theorem
- Riemann Differential Equation
- Riemann Function
- Riemann Hypothesis
- Riemannian Geometry
- Riemannian Geometry (Non-Euclidean)
- Riemannian Manifold