### Some articles on *function, functions*:

Integral - Extensions - Multiple Integration

... In general, an integral over a set E of a

... In general, an integral over a set E of a

**function**f is written Here x need not be a real number, but can be another suitable quantity, for instance, a vector in R3 ... Just as the definite integral of a positive**function**of one variable represents the area of the region between the graph of the**function**and the x-axis ... can be obtained via the triple integral — the integral of a**function**in three variables — of the constant**function**f(x, y, z) = 1 over the above mentioned region between the surface and the ...Formal Definitions - Lebesgue Integral

... For instance, a sequence of

... For instance, a sequence of

**functions**can frequently be constructed that approximate, in a suitable sense, the solution to a problem ... Then the integral of the solution**function**should be the limit of the integrals of the approximations ... However, many**functions**that can be obtained as limits are not Riemann integrable, and so such limit theorems do not hold with the Riemann integral ...Integral - Fundamental Theorem of Calculus - Statements of Theorems

... Let f be a continuous real-valued

... Let f be a continuous real-valued

**function**defined on a closed interval ... Let F be the**function**defined, for all x in, by Then, F is continuous on, differentiable on the open interval (a, b), and for all x in (a, b) ... Let f be a real-valued**function**defined on a closed interval that admits an antiderivative g on ...Integral - Methods - Numerical Quadrature

... cannot be found exactly, some require special

... cannot be found exactly, some require special

**functions**which themselves are a challenge to compute, and others are so complex that finding the exact ... integration range into, say, 16 equal pieces, and computes**function**values ... Spaced**function**values x −2.00 −1.50 −1.00 −0.50 0.00 0.50 1.00 1.50 2.00 f(x) 2.22800 2.45663 2.67200 2.32475 0.64400 −0.92575 −0.94000 −0.16963 0.83600 x −1.7 ...Integral - Fundamental Theorem of Calculus

... are inverse operations if a continuous

... are inverse operations if a continuous

**function**is first integrated and then differentiated, the original**function**is retrieved ... theorem of calculus, allows one to compute integrals by using an antiderivative of the**function**to be integrated ...### More definitions of "function":

- (
*noun*): The actions and activities assigned to or required or expected of a person or group.

Example:*"The function of a teacher"*

Synonyms: office, part, role

- (
*noun*): A set sequence of steps, part of larger computer program.

Synonyms: routine, subroutine, subprogram, procedure

- (
*noun*): What something is used for.

Example:*"The function of an auger is to bore holes"*

Synonyms: purpose, role, use

- (
*noun*): A formal or official social gathering or ceremony.

Example:*"It was a black-tie function"*

- (
*noun*): A relation such that one thing is dependent on another.

Example:*"Height is a function of age"; "price is a function of supply and demand"*

- (
*verb*): Perform duties attached to a particular office or place or function.

Synonyms: officiate

- (
*verb*): Serve a purpose, role, or function.

Synonyms: serve

- (
*noun*): A mathematical relation such that each element of one set is associated with at least one element of another set.

Synonyms: mathematical function

- (
*noun*): A vaguely specified social event.

Synonyms: affair, occasion, social occasion, social function

### Famous quotes containing the word function:

“Literature does not exist in a vacuum. Writers as such have a definite social *function* exactly proportional to their ability as writers. This is their main use.”

—Ezra Pound (1885–1972)

“The more books we read, the clearer it becomes that the true *function* of a writer is to produce a masterpiece and that no other task is of any consequence.”

—Cyril Connolly (1903–1974)

“Any translation which intends to perform a transmitting *function* cannot transmit anything but information—hence, something inessential. This is the hallmark of bad translations.”

—Walter Benjamin (1892–1940)