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Changing short description from "Representation of a function as the set of pairs (x, f(x))" to "Mathematical representation of a function" (Shortdesc helper) |
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The graph of a function is contained in a [[Cartesian product]] of sets. An <math>X</math>–<math>Y</math> plane is a Cartesian product of two lines, called <math>X</math> and <math>Y,</math> while a cylinder is a cartesian product of a line and a circle, whose height, radius, and angle assign precise locations of the points. [[Fibre bundle]]s are not Cartesian products, but appear to be up close. There is a corresponding notion of a graph on a fibre bundle called a [[Section (fiber bundle)|section]].
The {{visible anchor|graph of a multifunction}}, say the [[Multivalued function|multifunction]] <math>\mathcal{R} : X \rightrightarrows Y,</math> is the set <math>\operatorname{gr} \mathcal{R} := \left\{ (x, y) \in X \times Y : y \in \mathcal{R}(x) \right\}.</math>
== See also ==
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