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A 'saddle point' in mathematics derives its name from the fact that the prototypical example in two dimensions is a surface that curves up in one direction, and curves down in a different direction, resembling a riding saddle or a mountain pass between two peaks forming a landform saddle.
It may be called a col, notch, pass, saddle, water gap, or wind gap. Geomorphologically, a gap is most often carved by water erosion from a freshet, stream or a river. [1] Gaps created by freshets are often, if not normally, devoid of water through much of the year, their streams being dependent upon the meltwaters of a snow pack.
Idealised mountain pass represented as the green line; the saddle point is in red. Mountain passes make use of a gap, saddle, col or notch. A topographic saddle is analogous to the mathematical concept of a saddle surface, with a saddle point marking the minimum high point between two valleys and the lowest point along a ridge.
This can be calculated for a given peak in the following manner: for every path connecting the peak to higher terrain, find the lowest point on the path; the key col (or highest saddle, or linking col, or link) is defined as the highest of these points, along all connecting paths; the prominence is the difference between the elevation of the ...
The Langkofel Group in the Dolomites of the Italian Alps, with the clearly visible Langkofel Col (Langkofelscharte) left of centre. A col in geomorphology is the lowest point on a mountain ridge between two peaks. [1]
A col, also called saddle point or neutral point, is in meteorology, the point of intersection of a trough and a ridge in the pressure pattern of a weather map. It takes the form of a saddle where the air pressure is relatively higher than that of the low-pressure regions, but lower than that of the anticyclonic zones.
Saddle point, a point on a surface whose neighborhood resembles a saddle Monkey saddle , a mathematical surface defined by the equation z = x 3 − 3 x y 2 {\displaystyle z=x^{3}-3xy^{2}} Sources and sinks , vectors field in a point that are neither of the two are sometimes called saddles.
The Cumberland Gap is one of many passes in the Appalachian Mountains, but one of the few in the continuous Cumberland Mountain ridgeline. [2] It lies within Cumberland Gap National Historical Park and is located on the border of present-day Kentucky and Virginia, approximately 0.25 miles (0.40 km) northeast of the tri-state marker with Tennessee.