The mathematical concept of a function dates from the 17th century in connection with the development of calculus; for example, the slope d y / d x {\displaystyle...

the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century...

A Boolean-valued function (sometimes called a predicate or a proposition) is a function of the type f : X → B, where X is an arbitrary set and where B...

mathematics, a constant function is a function whose (output) value is the same for every input value. As a real-valued function of a real-valued argument...

mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if...

injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to distinct elements of its...

process in which the output of function f feeds the input of function g. The composition of functions is a special case of the composition of relations, sometimes...

function concept History of geometry History of group theory History of logic History of mathematicians History of mathematical notation History of measurement...

surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there...

In mathematics, a function space is a set of functions between two fixed sets. Often, the domain and/or codomain will have additional structure which...

In mathematics, the restriction of a function f {\displaystyle f} is a new function, denoted f | A {\displaystyle f\vert _{A}} or f ↾ A , {\displaystyle...

integer-valued function is a function whose values are integers. In other words, it is a function that assigns an integer to each member of its domain. The floor...

integrate concepts into a wider theory of the mind, what functions are allowed or disallowed by a concept's ontology, etc. There are two main views of the ontology...

In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle...

bijective function, or one-to-one correspondence is a function between two sets such that each element of the second set (the codomain) is the image of exactly...

variables. This concept extends the idea of a function of a real variable to several variables. The "input" variables take real values, while the "output",...

The ways in which societies have perceived the concept of creativity have changed throughout history, as has the term itself. The ancient Greek concept...

natural sciences, a function of a real variable is a function whose domain is the real numbers R {\displaystyle \mathbb {R} } , or a subset of R {\displaystyle...

functions. The epsilon–delta definition of a limit was introduced to formalize the definition of continuity. Continuity is one of the core concepts of...

continuous function on a compact space its global maximum and minimum exist. The concept of metric space itself is defined with a real-valued function of two...

portal History of deductive reasoning History of inductive reasoning History of abductive reasoning History of the function concept History of mathematics...

In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input...

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at every...

the technique of translating a function that takes multiple arguments into a sequence of families of functions, each taking a single argument. In the...

of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of several...

conceptual footing. The concepts and techniques found in calculus have diverse applications in science, engineering, and other branches of mathematics. Look...

mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or the image of the function. In some...

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by dom ⁡ ( f ) {\displaystyle \operatorname...

concerned with analytic functions of a complex variable, that is, holomorphic functions. The concept can be extended to functions of several complex variables...

-- Historian's fallacy -- Historical fallacy -- History of logic -- History of the function concept -- Hold come what may -- Homunculus argument -- Horn...