21. The critical points of Lagrangians occur at saddle points , rather than at local maxima ( or minima ). 22. The last two options stationary points that are " not " local extremum are known as saddle points . 23. Wet electrons are a transition state ( saddle point ) between electrons in the liquid and solid states. 24. Saddle points are points where the surrounding landscape curves up in one direction and down in the other.25. Mathematically, a saddle point occurs when- 26. Church Stretton effectively lies at a saddle point -the railway station lies roughly at this position, which is at watershed. 27. For example, by proceeding beyond the first delimiting saddle point a " grey-level blob tree " can be constructed. 28. The theory assumes the reaction system will pass over the lowest energy saddle point on the potential energy surface. 29. In such quantum theories, solutions to the equations of motion may be thought of as local minima, or saddle points . 30. Transition state structures can be determined by searching for saddle points on the PES of the chemical species of interest.