Dispersion Relation
Any pair of equations giving the Real Part of a function as an integral of its Imaginary Part and theImaginary Part as an integral of its Real Part. Dispersion relationships imply causality in physics. Let
 | (1) |
 |  |  | (2) |
 | |  | (3) |
where
denotes the Cauchy Principal Value and 
and 
are Hilbert Transforms of each other. If the Complex function is symmetric such that 
, then | |  | (4) |
| |  | (5) |
- Hyperbolic Map
- Hyperbolic Metric
- Hyperbolic Octahedron
- Hyperbolic Paraboloid
- Hyperbolic Partial Differential Equation
- Hyperbolic Plane
- Hyperbolic Point
- Hyperbolic Polyhedron
- Hyperbolic Rotation
- Hyperbolic Rotation (Crossed)
- Hyperbolic Secant
- Hyperbolic Sine
- Hyperbolic Space
- Hyperbolic Spiral
- Hyperbolic Spiral Inverse Curve
- Hyperbolic Spiral Roulette
- Hyperbolic Substitution
- Hyperbolic Tangent
- Hyperbolic Tetrahedron
- Hyperbolic Umbilic Catastrophe
- Hyperboloid
- Hyperboloid Embedding
- Hypercomplex Number
- Hypercube
- Hyperdeterminant