Crookedness
Let a Knot 
be parameterized by a Vector Function 
with 
, and let
be a fixed Unit Vector in 
. Count the number of Relative Minimaof the projection function 
. Then the Minimum such number over all directions and all of the given type is called the crookedness 
. Milnor (1950) showed that 
is theInfimum of the total curvature of . For any Tame Knot in , 
where 
is the Bridge Index.
References
Milnor, J. W. ``On the Total Curvature of Knots.'' Ann. Math. 52, 248-257, 1950. Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, p. 115, 1976.
- Involution (Operator)
- Involution (Set)
- Involution (Transformation)
- Irradiation Illusion
- Irrationality Measure
- Irrationality Sequence
- Irrational Number
- Irreducible Matrix
- Irreducible Polynomial
- Irreducible Representation
- Irreducible Semiperfect Number
- Irreducible Tensor
- Irredundant Ramsey Number
- Irreflexive
- Irregular Pair
- Irregular Prime
- Irregular Singularity
- Irrotational Field
- Isarithm
- ISBN
- I-Signature
- Island
- Isobaric Polynomial
- Isochronous Curve
- Isoclinal