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Tobler's hiking function – walking speed vs. slope angle chart. Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle. [1] [2] [3] It was formulated by Waldo Tobler. This function was estimated from empirical data of Eduard Imhof. [4]
Tobler was an avid hiker, and combined this with his interest flow and movement to generate "Tobler's hiking function", also known as "Tobler's walking rule". [ 46 ] [ 84 ] [ 85 ] In this research, Tobler used himself as a subject, and was published the results in a 1993 paper. [ 84 ]
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Waldo R. Tobler developed one of the first algorithms in 1963, based on a strategy of warping space itself rather than the distinct districts. [15] Since then, a wide variety of algorithms have been developed (see below), although it is still common to craft cartograms manually.
Waldo Tobler in front of the Newberry Library. Chicago, November 2007. The First Law of Geography, according to Waldo Tobler, is "everything is related to everything else, but near things are more related than distant things." [1] This first law is the foundation of the fundamental concepts of spatial dependence and spatial autocorrelation and is utilized specifically for the inverse distance ...
A 1951 USAF resolution test chart is a microscopic optical resolution test device originally defined by the U.S. Air Force MIL-STD-150A standard of 1951. The design provides numerous small target shapes exhibiting a stepped assortment of precise spatial frequency specimens.
Naismith's rule is a rule of thumb that helps in the planning of a walking or hiking expedition by calculating how long it will take to walk the route, including ascents. Navier–Stokes equations: In physics, these equations describe the motion of viscous fluid substances. Named after Claude-Louis Navier and George Gabriel Stokes.