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A graphical or bar scale. A map would also usually give its scale numerically ("1:50,000", for instance, means that one cm on the map represents 50,000cm of real space, which is 500 meters) A bar scale with the nominal scale expressed as "1:600 000", meaning 1 cm on the map corresponds to 600,000 cm=6 km on the ground.
Nondimensionalization is the partial or full removal of physical dimensions from an equation involving physical quantities by a suitable substitution of variables.This technique can simplify and parameterize problems where measured units are involved.
Dimensionless quantities, or quantities of dimension one, [1] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [2] [3] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units.
The scale of a map projection must be interpreted as a nominal scale. (The usage large and small in relation to map scales relates to their expressions as fractions. The fraction 1/10,000 used for a local map is much larger than the 1/100,000,000 used for a global map. There is no fixed dividing line between small and large scales.)
Rockwell scale – Hugh M. (1890–1957) and Stanley P. (1886–1940) Rockwell: mechanical hardness (indentation hardness of a material) Rolling resistance coefficient: C rr = vehicle dynamics (ratio of force needed for motion of a wheel over the normal force)
Cartographic scale or map scale: a large-scale map covers a smaller area but embodies more detail, while a small-scale map covers a larger area with less detail. Operational scale: the spatial extent at which a particular phenomenon operates. E.g. orogeny operates at a much larger scale than the formation of a river pothole does.
In most European countries, the largest scale topographic map series is a 1:25.000 scale series. Notable exceptions are Austria (1:50,000) and Finland (1:20,000). Many non-European states limit the largest scale of their map series, usually to 1:50,000 scale, frequently due to the large size of the country covered (and hence for financial reasons).
During the first half of the 20th century, cartographers began to think seriously about how the features they drew depended on scale. Eduard Imhof, one of the most accomplished academic and professional cartographers at the time, published a study of city plans on maps at a variety of scales in 1937, itemizing several forms of generalization that occurred, including those later termed ...