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Direction-preserving function
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<p>In <a href="/facts/Discrete_mathematics/XdRUnzUL">discrete mathematics</a>, a direction-preserving function (or mapping) is a function on a discrete space, such as the integer grid, that (informally) does not change too drastically between two adjacent points. It can be considered a discrete analogue of a <a href="/facts/Continuous_function/sKbl02pB">continuous function</a>. </p><p>The concept was first defined by Iimura. Some variants of it were later defined by Yang, Chen and Deng, Herings, van-der-Laan, Talman and Yang, and others. </p>