In mathematics, a function is a rule for taking an input (usually number or set of numbers) and providing an output (which is also usually a number). A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. The most common symbol for the input is x, and the most common symbol for the output is y; the function itself is commonly written . , where z is a dependent variable and x and y are independent variables. Functions with multiple outputs are often written as vector-valued functions.

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• In mathematics, a function is a rule for taking an input (usually number or set of numbers) and providing an output (which is also usually a number). A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. The most common symbol for the input is x, and the most common symbol for the output is y; the function itself is commonly written . It is possible to have multiple independent variables and/or multiple dependent variables. For instance, in multivariable calculus, one often encounters functions of the form , where z is a dependent variable and x and y are independent variables. Functions with multiple outputs are often written as vector-valued functions. In advanced mathematics, a function between a set X and a set Y is a subset of the Cartesian product such that every element of X appears in an ordered pair with exactly one element of Y. In this situation, a symbol representing an element of X may be called an independent variable and a symbol representing an element of Y may be called a dependent variable, such as when X is a manifold and the symbol x represents an arbitrary point in the manifold. However, many advanced textbooks do not distinguish between dependent and independent variables. (en)
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http://purl.org/linguistics/gold/hypernym
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• In mathematics, a function is a rule for taking an input (usually number or set of numbers) and providing an output (which is also usually a number). A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. The most common symbol for the input is x, and the most common symbol for the output is y; the function itself is commonly written . , where z is a dependent variable and x and y are independent variables. Functions with multiple outputs are often written as vector-valued functions. (en)
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• Dependent and independent variables (en)
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