Menasco's Theorem
For a Braid with 
strands, 
components, 
positive crossings, and 
negative crossings,
where
are the smallest number of positive and negative crossings which must be changed to crossings of the oppositesign. These inequalities imply Bennequin's Conjecture. Menasco's theorem can be extended to arbitrary knot diagrams.See also Bennequin's Conjecture, Braid, Unknotting Number
References
Cipra, B. ``From Knot to Unknot.'' What's Happening in the Mathematical Sciences, Vol. 2. Providence, RI: Amer. Math. Soc., pp. 8-13, 1994. Menasco, W. W. ``The Bennequin-Milnor Unknotting Conjectures.'' C. R. Acad. Sci. Paris Sér. I Math. 318, 831-836, 1994.
- Standard Deviation
- Standard Error
- Standardized Moment
- Standardized Score
- Standard Map
- Standard Normal Distribution
- Standard Space
- Standard Tori
- Stanley's Theorem
- Star
- Star Figure
- Star (Fixed Point)
- Star Fractal
- Star Graph
- Star Number
- Star of David
- Star of Goliath
- Star of Lakshmi
- Star Polygon
- Star Polyhedron
- Starr Rose
- State Space
- Stationary Point
- Stationary Tangent
- Stationary Value