## Definitions

### from Wiktionary, Creative Commons Attribution/Share-Alike License

- n. A point in the range of a smooth function every neighborhood of which contains points on each side of its tangent plane.
- n. Such a point in the graphical representation of the possible outcomes of a game

## Etymologies

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## Examples

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sionnach commented on the word saddle point

I think that you might find the behavior of a Hessian in the vicinity of a col to be pretty tricksy.

September 28, 2009

hernesheir commented on the word saddle point

In mathematics, a saddle point is a point in the domain of a function of two variables which is a stationary point but not a local extremum. At such a point, in general, the surface resembles a saddle that curves up in one direction, and curves down in a different direction much like the profile ofhorse saddle or a mountain pass, or col.

September 28, 2009