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Domain of a function
set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined. That
Function (mathematics)
of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function. If the function
Differentiable function
calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result
Codomain
x ranges over the elements of the domain X, is called the image of f. In general, the image of a function is a subset of its codomain. Thus, it may not
Surjective function
the fact that the image of the domain of a surjective function completely covers the function's codomain. Any function induces a surjection by restricting
Partial function
called a total function and is equivalent to a function. Partial functions are often used when the exact domain, X, is not known (e.g. many functions in computability
Injective function
injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same
Graph of a function
mathematics, the graph of a function f is, formally, the set of all ordered pairs (x, f(x)), such that x is in the domain of the function f, and, in practice
Convex function
function of a single variable, if the second derivative is always greater than or equal to zero for its entire domain then the function is convex. Well-known
Analytic continuation
complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation