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A map is a function, as in the association of any of the four colored shapes in X to its color in Y. In mathematics, a map or mapping is a function in its general sense. [1] These terms may have originated as from the process of making a geographical map: mapping the Earth surface to a sheet of paper. [2]
Map algebra is an algebra for manipulating geographic data, primarily fields.Developed by Dr. Dana Tomlin and others in the late 1970s, it is a set of primitive operations in a geographic information system (GIS) which allows one or more raster layers ("maps") of similar dimensions to produce a new raster layer (map) using mathematical or other operations such as addition, subtraction etc.
One of the earliest instances of parametric design was the upside-down model of churches by Antonio Gaudi. In his design for the Church of Colònia Güell, he created a model of strings weighted down with birdshot to create complex vaulted ceilings and arches. By adjusting the position of the weights or the length of the strings, he could alter ...
Viewing the set of all the maps as a space is useful because that allows for topological considerations. For example, a curve h : I → Map ( X , Y ) {\displaystyle h:I\to \operatorname {Map} (X,Y)} in the mapping space is exactly a homotopy .
If there is an optimal amount of information for a given map project, then generalization is the process of taking existing available data, often called (especially in Europe) the digital landscape model (DLM), which usually but not always has a larger amount of information than needed, and processing it to create a new data set, often called ...
map A synonym for a function between sets or a morphism in a category. Depending on authors, the term "maps" or the term "functions" may be reserved for specific kinds of functions or morphisms (e.g., function as an analytic term and map as a general term). mathematics See mathematics. multivalued
Digital mapping, the use of a computer to depict spatial data on a map; Gene mapping, the assignment of DNA fragments to chromosomes; Mind mapping, the drawing of ideas and the relations among them; Projection mapping, the projection of videos on the surface of objects with irregular shapes; Robotic mapping, creation and use of maps by robots
Cartographic symbology encodes information on the map in ways intended to convey information to the map reader efficiently, taking into consideration the limited space on the map, models of human understanding through visual means, and the likely cultural background and education of the map reader. Symbology may be implicit, using universal ...