Functions such as email exchange, web access and database access are built on the client / server model.

Functions include but are not limited to selecting, installing, and configuring a new scanner ; setting scanner-specific parameters ; scanning, reading and writing files, and fast image scaling, rotating, displaying, and printing.

Functions in Nial are called Operations.

# Functions are not viable, since they don't undo / redo easily, are not easily associated with a state, and are hard to extend or reuse.

Functions for traversal and retrieval are put into the abstract Iterator interface.

Functions that are performed as part of network management accordingly include controlling, planning, allocating, deploying, coordinating, and monitoring the resources of a network, network planning, frequency allocation, predetermined traffic routing to support load balancing, cryptographic key distribution authorization, configuration management, fault management, security management, performance management, bandwidth management, Route analytics and accounting management.

Functions are clearly distinguishable with names that start with '@', just like a spreadsheet.

* Functions are sets of ordered pairs, curves in the Cartesian plane ;

Functions that are strictly increasing or decreasing are one-to-one ( because for x not equal to y, either x < y or x > y and so, by monotonicity, either f ( x ) < f ( y ) or f ( x ) > f ( y ), thus f ( x ) is not equal to f ( y )).

Functions that are constant for members of the same conjugacy class are called class functions.

Functions are sometimes needed for computers of different endianness to communicate with each other over the internet, as protocols often use big endian byte coding by default.

Functions which are equal to their Taylor series are called analytic functions.

Functions of each type are infinitely differentiable, but complex analytic functions exhibit properties that do not hold generally for real analytic functions.

Functions of this form are sometimes called Bloch-periodic in this context.

The Shell Lightweight Utility Functions are in < tt > shlwapi. dll </ tt >.

‘ Functions ’ are the elementary pieces of a work, such as a single descriptive word that can be used to identify a character.

Functions are " the central objects of investigation " in most fields of modern mathematics.

Functions definable by an algorithm are called computable functions.

Functions whose alternative implementations are selected in this manner are referred to most generally as multimethods.

* Functions, which produce new terms from given ones.

Functions can produce functions as return values:

Functions can also both consume and produce functions:

Maxwell Tower had been built without a thirteenth floor ( going straight from 12 to 14 ) for reasons of superstition ; however due to a faulty Integrated Functions ( I. F.

Functions exist on all levels of grammar, and even in phonology, where the function of the phoneme is to distinguish between lexical material.

Functions can only be defined using the single line < mathematical function of x > statement ( e. g., ).

# Functions denote a mapping of one or more elements in a set ( the domain of the function ) into a unique element of another set ( the range of the function ).

Functions that send integers to integers, or finite strings to finite strings, can sometimes be defined by an algorithm, which gives a precise description of a set of steps for computing the output of the function from its input.

It is also distinct from the medium of exchange function which requires durability when used in trade and to minimize fraud opportunities .< ref > Money # Functions </ ref >

Functions are, however, useful in understanding the placement of any given account in the federal government: Each account number has a series of numbers, the last three will indicate the function and subfunction ; for example an account ending in " 051 " will indicate function 050 ( Defense ) and subfunction 051, which indicates a type of spending within the Defense category.

Functions like MAC addressing are implemented by the Media Access Control function.

Here is a recursive function for computing the factorial of a number, written in E. Functions are defined using the def keyword.

His work focused on computer science in the last decade of his life and in May 1962 he published one of his most famous results in the Bell System Technical Journal: the Busy Beaver function and its non-computability (" On Non-Computable Functions ").

Functions that can be expressed as special cases of the confluent hypergeometric function include:

* Kummer hypergeometric function on the Wolfram Functions site

* Tricomi hypergeometric function on the Wolfram Functions site

A wide range of function libraries ( known as UDF's, or " User Defined Functions ") are also included as standard or are available from the website to add specialized functionality.

The limit here is meant in the usual sense of a limit of a function defined on a metric space ( see Functions on metric spaces ), using V and W as the two metric spaces, and the above expression as the function of argument h in V. As a consequence, it must exist for all sequences of non-zero elements of V which converge to the zero vector If the limit exists, we write and call it the ( Fréchet ) derivative of f at x.

The " derecho de gracia " ( right of grace ) or " indulto " ( pardon ) is acknowledged by the Spanish Constitution of 1978 as a privilege of the King of Spain ( article 62. i: " Functions of the King ").

Functions on Booleans can be defined by pattern matching, i. e., by providing several equations for different argument values:

F.S.C. Northrop, in his discussion of The `` Functions And Future Of Poetry '', suggests this: `` One of the things which makes our lives drab and empty and which leaves us, at the end of the day, fatigued and deflated spiritually is the pressure of the taxing, practical, utilitarian concern of common-sense objects.

We find, for example, such groupings as the Five Ancient Rulers, the Five Sacred Mountains, the Five Directions ( with Center ), the Five Metals, Five Colors, Five Tastes, Five Odors, Five Musical Notes, Five Bodily Functions, Five Viscera, and many others.

Functions may lack horizontal asymptotes on either or both sides, or may have one horizontal asymptote that is the same in both directions.

Smith, Functions of mathematical physics, Van Nostrand Reinhold Company, London, 1970.

* N. M. Temme, Special Functions.

An Introduction to the Classical Functions of Mathematical Physics, John Wiley and Sons, Inc., New York, 1996.

* Watson, G. N., A Treatise on the Theory of Bessel Functions, Second Edition, ( 1995 ) Cambridge University Press.

* R. E. Bryant, S. M. German, and M. N. Velev, Microprocessor Verification Using Efficient Decision Procedures for a Logic of Equality with Uninterpreted Functions, in Analytic Tableaux and Related Methods, pp. 1 – 13, 1999.

* The Federal Reserve System: Purposes and Functions – A publication of the U. S. Federal Reserve, describing its role in the macroeconomy

* Functions may not be defined within the lexical scope of other functions.

# Volume 4, Fascicle 0: Introduction to Combinatorial Algorithms and Boolean Functions.

Functions equivalent in this manner form an equivalence class on, and these equivalence classes partition.

* Martin Davis, " The Undecidable, Basic Papers on Undecidable Propositions, Unsolvable Problems And Computable Functions ", Raven Press, New York, 1965.