saddle point in a sentence

Examples

1. There exists a saddle point in the energy funnel landscape where the transition state for a particular protein is found.
2. In contrast, the sandwich configuration maximizes overlap of the pi system, is least stable, and represents an energetic saddle point.
3. The game does not have a " solution " ( or saddle point ) in the sense of game theory.
4. Rather than having an ellipsoid almond shape, these nuts are more crescent-shaped with a saddle point of two opposing curvatures.
5. Integrals with degenerate saddle points naturally appear in many applications including optical caustics and the multidimensional WKB approximation in quantum mechanics.
6. Since the latter region does not contain the saddle point, the value of is exponentially smaller than as; thus, is ignored.
7. Both L1 and L2 require active stationkeeping since neither is fully stable ( they are saddle points on the energy landscape ).
8. The Hessian matrix of a convex function is critical point is a local maximum, local minimum, or a saddle point, as follows:
9. When embedded to a Euclidean space ( of a higher dimension ), every point of a hyperbolic space is a saddle point.
10. when is continuous, and has a degenerate saddle point, is a very rich problem, whose solution heavily relies on the catastrophe theory.