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About contact

In mathematics, two functions have a contact of order k if, at a point P, they have the same value and their first k derivatives are equal. This is an equivalence relation, whose equivalence classes are generally called jets. The point of osculation is also called the double cusp. Contact is a geometric notion; it can be defined algebraically as a valuation.

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Facts from Wikidata (CC0). Image by Salix alba at English Wikipedia via Wikimedia Commons (CC BY-SA 3.0).

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