In mathematics, coarse functions are
functions that may appear to be continuous at a distance, but in reality are not necessarily continuous.
[Chul-Woo Lee and Jared Duke (2007)]
Coarse Function Value Theorems
''Rose-Hulman Undergraduate Mathematics Journal'' 8 (2) Although
continuous function
In mathematics, a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies there are no abrupt changes in value, known as '' discontinuities''. More preci ...
s are usually observed on a small scale, coarse functions are usually observed on a large scale.
See also
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Coarse structure
In the mathematical fields of geometry and topology, a coarse structure on a set ''X'' is a collection of subsets of the cartesian product ''X'' × ''X'' with certain properties which allow the ''large-scale structure'' of metric spaces and topolo ...
References
Types of functions
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