| 1. | Perhaps it could be borrowed or adapted from the Saddle point article.
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| 2. | In one dimension, a saddle point is a point of inflection.
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| 3. | Hence the fixed point at the origin is a saddle point.
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| 4. | The hyperbolic plane is a plane where every point is a saddle point.
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| 5. | Double points in contour lines occur at saddle points, or passes.
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| 6. | Note that this mountain pass is almost always a saddle point.
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| 7. | And of course, there would be lots and lots and lots of saddle points.
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| 8. | In other words, a saddle point represents a transition state along the reaction co-ordinate.
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| 9. | Near the saddle point of Clarks Gap, a stone arch crosses over the trail.
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| 10. | These are not local minima of the action, but instead they correspond to saddle points.
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