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Example of topographic profile. A topographic profile or topographic cut or elevation profile is a representation of the relief of the terrain that is obtained by cutting transversely the lines of a topographic map. Each contour line can be defined as a closed line joining relief points at equal height above sea level. [1]
The letters A and B at the top correspond to the line labeled A--B on the smaller map. In this example, the vertical scale is exaggerated compared to the horizontal scale. A cross section or cross-section , in geology , is a diagram representing the geologic features intersecting a vertical plane , and is used to illustrate an area's structure ...
datum plane. Also datum level or datum line. The zero-elevation baseline or vertical datum to which a measurement of elevation or altitude is relative, e.g. the mean sea level calculated for a given location over a given period of time. [4] See also geodetic datum. de facto segregation
A fault plane is the plane that represents the fracture surface of a fault. A fault trace or fault line is a place where the fault can be seen or mapped on the surface. A fault trace is also the line commonly plotted on geologic maps to represent a fault. [3] [4] A fault zone is a cluster of parallel faults.
Cutting plane methods for MILP work by solving a non-integer linear program, the linear relaxation of the given integer program. The theory of Linear Programming dictates that under mild assumptions (if the linear program has an optimal solution, and if the feasible region does not contain a line), one can always find an extreme point or a ...
The intuitive criterion of stretching, bending, cutting and gluing back together takes a certain amount of practice to apply correctly—it may not be obvious from the description above that deforming a line segment to a point is impermissible, for instance. It is thus important to realize that it is the formal definition given above that counts.
A feature's strike is the azimuth of an imagined horizontal line across the plane, and its dip is the angle of inclination (or depression angle) measured downward from horizontal. [1] They are used together to measure and document a structure's characteristics for study or for use on a geologic map . [ 2 ]
In the example shown, the blue line represents the horizontal tangent plane at the North pole, the red the horizontal tangent plane at an equatorial point. The two intersect at a right angle. Also, horizontal planes can intersect when they are tangent planes to separated points on the surface of the Earth.