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Program function without side effects
In computer programming, a pure function is a function that has the following properties: the function return values are identical for identical arguments
Pure_function
Property of operations
(mathematics) Iterated function List of matrices Nilpotent Pure function Referential transparency This is an equation between functions. Two functions are equal if
Idempotence
Inheritable and overridable function or method for which dynamic dispatch is facilitated
eat(&llama); // resolves Llama.eat and executes } A pure virtual function or pure virtual method is a virtual function that is required to be implemented by a derived
Virtual_function
Programming paradigm based on applying and composing functions
functional programming that treats all functions as deterministic mathematical functions, or pure functions. When a pure function is called with some given arguments
Functional_programming
Class in object-oriented programming languages
generic functions. In New Flavors (a successor of Flavors) and CLOS, methods are organized in "generic functions". These generic functions are functions that
Mixin
Of a function, an additional effect besides returning a value
means that an expression (such as a function) can be replaced with its value. This requires that the expression is pure, that is to say the expression must
Side effect (computer science)
Side_effect_(computer_science)
Hardware description language API
called Pure function. Only Non-Void functions with no output or inout arguments can be called as Pure functions. Functions specified as Pure shall have
SystemVerilog_DPI
Topics referred to by the same term
up pure in Wiktionary, the free dictionary. Pure may refer to: Pure function PureSystems, a family of computer systems introduced by IBM in 2012 Pure Software
Pure
Design pattern in pure functional programming
parameterized data types. Modifiable computations are modeled by allowing a pure function to be applied to values of the "inner" type, thus creating the new overall
Functor (functional programming)
Functor_(functional_programming)
Software programming optimization technique
computer programs. It works by storing the results of expensive calls to pure functions, so that these results can be returned quickly should the same inputs
Memoization
Feature of some compilers
compile time, and the function does not make any reference to or attempt to modify any global state (i.e. it is a pure function). If the value of only
Compile-time function execution
Compile-time_function_execution
Type of digital logic implemented by Boolean circuits
logic that is implemented by Boolean circuits, where the output is a pure function of the present input only. This is in contrast to sequential logic,
Combinational_logic
Representation on functions in computer engineering
exercise forces each part of the system to have a pure function. When a system is composed of pure functions, they can be reused, or replaced. A usual side
Function_model
Mathematical entity to describe the probability of each possible measurement on a system
observables produces a pure quantum state. More common, incomplete preparation produces a mixed quantum state. Wave function solutions of Schrödinger's
Quantum_state
Multi-paradigm system programming language
to allow access from inside a pure function immutable pivot = 5; int mySum(int a, int b) pure nothrow /* pure function */ { // ref to enclosing-scope
D_(programming_language)
Typographic symbol (#)
literal. In Mathematica syntax, #, when used as a variable, becomes a pure function (a placeholder that is mapped to any variable meeting the conditions)
Number_sign
Programming language
pure (or impure) function arguments. The type and effect system supports effect polymorphism which means that the effect of a higher-order function may
Flix_(programming_language)
JavaScript syntax extension
transpiled output from Babel. The /*#__PURE__*/ comment added by Babel indicates that the tagged call is to a pure function, which is relevant for later steps
JavaScript_XML
Memorization technique based on repetition
present. This pattern requires that the machine can be modeled as a pure function — always producing same output for same input — and can be formally
Rote_learning
1781 book by Immanuel Kant
Critique of Pure Reason (German: Kritik der reinen Vernunft; 1781; second edition 1787) is a book by the German philosopher Immanuel Kant, in which the
Critique_of_Pure_Reason
Japanese military scholar and rebel (1605–1651)
academies, which could be found throughout the country, served not only the pure function of schools of martial arts; certainly, discipline, ethics, and related
Yui_Shōsetsu
Expression of a function as the composition of two functions
exercise forces each part of the system to have a pure function. When a system is designed as pure functions, they can be reused, or replaced. A usual side
Functional_decomposition
Functional programming language
functions generally have no side effects. A distinct construct exists to represent side effects, orthogonal to the type of functions. A pure function
Haskell
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Type of function in linear algebra
sublinear function (or functional as is more often used in functional analysis), also called a quasi-seminorm, on a vector space is a real-valued function with
Sublinear_function
Continuous generalization of cellular automata
cellular automata, Lenia is updated iteratively; each output state is a pure function of the previous state, such that Φ ( A 0 ) = A Δ t , Φ ( A Δ t ) = A
Lenia
Mathematics independent of applications
In the context of the philosophy of mathematics, pure mathematics is an informal term to describe the study of mathematical concepts independently of any
Pure_mathematics
Stepping back in time through source code
self-contained nature of pure functions. Pure functions have no side effects and depend only on the information explicitly provided to the function, providing a repeatable
Time_travel_debugging
Concept in quantum chemistry
therefore the application of these operators on a spin-pure function produces again a spin-pure function. The Dyall Hamiltonian behaves like the true Hamiltonian
Dyall_Hamiltonian
Extension of the factorial function
gamma function (represented by Γ {\displaystyle \Gamma } , capital Greek letter gamma) is the most common extension of the factorial function to complex
Gamma_function
Function that takes one or more functions as an input or that outputs a function
twice(plus_three) IO.puts g.(7) # 13 Alternatively, we can also compose using pure anonymous functions. twice = fn(f) -> fn(x) -> f.(f.(x)) end end plus_three = fn(i)
Higher-order_function
Programming paradigm
Haskell.org Wiki. Retrieved 2016-06-05. From Function-Level Programming to Pointfree Style Pure Functions in APL and J How to use tacit programming in
Tacit_programming
Analytic function in mathematics
zeta function that many mathematicians consider the most important unsolved problem in pure mathematics. The values of the Riemann zeta function at even
Riemann_zeta_function
strictly requires arrows, they generalize away much of the dense function passing that pure, declarative code would otherwise require. They can also encourage
Arrow_(computer_science)
Sigmoid shape special function
mathematics, the error function (also called the Gauss error function), often denoted by e r f {\displaystyle \mathbf {erf} } , is the function erf ( z ) = 2
Error_function
Graphic icon
industry as a whole. The Google Maps pin has been called "a product of pure function that has evolved into a cultural phenomenon" and "a solution that would
Google_Maps_pin
Topics referred to by the same term
Purely functional may refer to: Pure function, a function that does not have side effects Purely functional data structure, a persistent data structure
Purely_functional
Generalized function whose value is zero everywhere except at zero
(2008), "Integral and series representations of the Dirac delta function", Commun. Pure Appl. Anal., 7 (2): 229–247, arXiv:1303.1943, doi:10.3934/cpaa
Dirac_delta_function
Mathematical tool in quantum physics
generalization of the state vectors or wavefunctions: while those can only represent pure states, density matrices can also represent mixed ensembles of states. These
Density_matrix
Abode of a buddha or bodhisattva in Mahayana Buddhism
Pure Land is a Mahayana Buddhist concept referring to a transcendent realm emanated by a buddha or bodhisattva which has been purified by their activity
Pure_Land
Computer programming paradigm
designed to support writing programs as much as possible in terms of pure functions: Whereas procedural languages model execution of the program as a sequence
Procedural_programming
Measure of acidity for very strong acids
reactions use acids in very high concentrations, or even neat (pure). The Hammett acidity function, H0, can replace the pH in concentrated solutions. It is
Hammett_acidity_function
Function that returns its argument unchanged
mathematics, an identity function, also called an identity relation, identity map or identity transformation, is a function that always returns the value
Identity_function
Well-quasi-ordering of finite trees
application of the theorem gives the existence of a fast-growing TREE function. TREE(3) is one of the largest simply defined finite numbers, dwarfing
Kruskal's_tree_theorem
Computer program optimization method
Suppose there is a procedure that evaluates f(x), and that f is a pure function, and the code requests the result of f(6) and then later, f(6) again
Interprocedural_optimization
Visual programming language
a directed graph of the data flowing between operations. In Pure Data and Max, functions or "objects" are linked or "patched" together in a graphical
Pure_Data
Bruijn levels instead of names in the residual syntax makes reify a pure function in that there is no need for fresh_var. The datatype of residual terms
Normalisation_by_evaluation
Multivalued function in mathematics
In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse
Lambert_W_function
Indian geo-coded digital addressing system
to function offline, allowing users to locate addresses logically without requiring constant internet connectivity. Privacy: The system is a pure function
National Level Addressing Grid
National_Level_Addressing_Grid
Functional programming language
yields (a+b)*2 Calling C functions from Pure is very easy. E.g., for a "Hello, World!" program, the following imports the puts function from the C library and
Pure_(programming_language)
School of Mahāyāna Buddhism
Pure Land Buddhism or the Pure Land School (Chinese: 淨土宗; pinyin: Jìngtǔzōng) is a broad branch of Mahayana Buddhism focused on achieving rebirth in a
Pure_Land_Buddhism
Branch of pure mathematics
mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical
Number_theory
Data structure used in computer programs
away when an inner function does not access any (non-constant) local data in the encapsulation, as is the case with pure functions communicating only
Call_stack
Technique for creating lexically scoped first class functions
way no longer have referential transparency, and are thus no longer pure functions; nevertheless, they are commonly used in impure functional languages
Closure (computer programming)
Closure_(computer_programming)
Function definition that is not bound to an identifier
anonymous function (function literal, lambda function, or block) is a function definition that is not bound to an identifier. Anonymous functions are often
Anonymous_function
Process by which a quantum system takes on a definitive state
interpretations of quantum mechanics, wave function collapse, also called reduction of the state vector, occurs when a wave function—initially in a superposition of
Wave_function_collapse
Conjecture on zeros of the zeta function
(1973), "The pair correlation of zeros of the zeta function", Analytic number theory, Proc. Sympos. Pure Math., vol. XXIV, Providence, R.I.: American Mathematical
Riemann_hypothesis
Method of solution to differential equations
In mathematics, a Green's function (or Green function) is the impulse response of an inhomogeneous linear differential operator defined on a domain with
Green's_function
Programming Language, Variables and Mutability". "D pure functions". Retrieved 3 February 2024. "D safe functions". Retrieved 3 February 2024. "Laziness - Dlang
Comparison of functional programming languages
Comparison_of_functional_programming_languages
Non-cryptographic hash function
Fowler–Noll–Vo (or FNV) is a non-cryptographic hash function created by Glenn Fowler, Landon Curt Noll, and Kiem-Phong Vo. The basis of the FNV hash algorithm
Fowler–Noll–Vo_hash_function
theorem Gimel function Cody, Brent; Magidor, Menachem (February 2014). "On supercompactness and the continuum function". Annals of Pure and Applied Logic
Continuum_function
ISO standard: computer keyboard layouts
"function zones" (containing function keys). According to the standard, a "graphic key" is a key used to input characters, rather than being a pure function
ISO/IEC_9995
Logical formalism using combinators instead of variables
Katalin (2012). Combinatory Logic: Pure, Applied and Typed. ISBN 978-1-4398-0000-3. Cherlin, Edward (1991). "Pure functions in APL and J". Proceedings of the
Combinatory_logic
Intermediate structure between functors and monads
(g x) As stated in the Definition section, pure turns an a into a Maybe a, and <*> applies a Maybe function to a Maybe value. Using the Maybe applicative
Applicative_functor
An APL-like language which uses only ASCII special characters and adds function-level programming. Light Pattern – A language which uses a series of photographs
Non-English-based programming languages
Non-English-based_programming_languages
Mathematical-logic system based on functions
of a collection of previously defined functions, which as lambda-terms are merely particular constants. The pure lambda calculus does not have a concept
Lambda_calculus
Functional programming language
Unlambda is a minimal, "nearly pure" functional programming language invented by David Madore. It is based on combinatory logic, an expression system without
Unlambda
Logarithm to the base of the mathematical constant e
to a multi-valued function: see complex logarithm for more. The natural logarithm function, if considered as a real-valued function of a positive real
Natural_logarithm
concept of codelets, functions that can be remotely executed on HWAs. A codelet has the following properties: It is a pure function. It does not contain
OpenHMPP
1995 edition of the Fortran programming language standard
invocations), and for functions, does not alter any of its arguments. A compiler can check that this is the case, as in PURE FUNCTION calculate (x) All the
Fortran_95_language_features
Function used in signal processing
processing and statistics, a window function (also known as an apodization function or tapering function) is a mathematical function that is zero-valued outside
Window_function
Variable that represents an argument to a function
functions with side effects (modifying the output parameter) and are semantically similar to references, which are more confusing than pure functions
Parameter (computer programming)
Parameter_(computer_programming)
Mathematical transform that expresses a function of time as a function of frequency
takes a function as input and outputs another function that describes the extent to which various frequencies are present in the original function. The output
Fourier_transform
Polynomial function of degree 3
cubic function is a function of the form f ( x ) = a x 3 + b x 2 + c x + d , {\displaystyle f(x)=ax^{3}+bx^{2}+cx+d,} that is, a polynomial function of degree
Cubic_function
Concept in linguistics
has the drawback that it positions the determiner, which is often a pure function word, below the lexical noun, which is usually a full content word.
Determiner_phrase
Square matrices satisfy their characteristic equation
\lambda } —so p A ( A ) {\displaystyle p_{A}(A)} is a constant rather than a function.) The Cayley–Hamilton theorem states that this polynomial expression is
Cayley–Hamilton_theorem
Concept in computer programming
Reentrant programs are often "pure procedures". Reentrancy is not the same thing as idempotence, in which the function may be called more than once yet
Reentrancy_(computing)
Wigner distribution function in physics as opposed to in signal processing
quantum-mechanical interference. (See below for a characterization of pure states whose Wigner functions are non-negative.) Smoothing the Wigner distribution through
Wigner quasiprobability distribution
Wigner_quasiprobability_distribution
8th-century Buddhist ritual scripture
invocation of Viśuddhaprabhā (Pure Light), a goddess which personifies Amida's compassionate light. Its main function is the purification of karma, healing
Viśuddhaprabhā_Dhāraṇī
Mantra in Pure Land Buddhism
also known as Pure Land Rebirth Dhāraṇī (Chinese: 往生淨土神咒; Wang Sheng Jing Tu Shen Zhou). The title itself encapsulates the dual function of the incantation:
Amitabha Pure Land Rebirth Dharani
Amitabha_Pure_Land_Rebirth_Dharani
Game class in game theory
are mapped into one function, and the set of pure Nash equilibria can be found by locating the local optima of the potential function. Convergence and finite-time
Potential_game
Mathematical problem in classical harmonic analysis
series of a given periodic function converges to the given function is studied in classical harmonic analysis, a branch of pure mathematics. Convergence
Convergence_of_Fourier_series
Colombian singer (born 1977)
"elegant" ballroom-dance performance at a Banco Popular de Puerto Rico function. The Remixes album, released in 1997, features extended electronic dance
Shakira
German mathematician (1913–1943)
papers on pure function theory, like Eine Verschärfung des Dreikreisesatzes ("A tightening of the three circles theorem"), and on algebraic functions, round
Oswald_Teichmüller
Mathematical function
the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function and the Hardy zeta function. It can be defined
Z_function
Wave shaped like the sine function
∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics, as a linear motion over time, this is simple harmonic motion;
Sine_wave
Concept in theoretical computer science
challenging mathematical game, the busy beaver functions Σ(n) and S(n) offer an entirely new approach to solving pure mathematics problems. Many open problems
Busy_beaver
Sound with a sinusoidal waveform
a pure tone is a sound or other signal with a sinusoidal waveform; that is, a sine wave of constant frequency, phase-shift, and amplitude. A pure tone
Pure_tone
Words supplying mainly grammatical information, rather than content information
In linguistics, function words (also called functors) are words that have little lexical meaning or have ambiguous meaning and express grammatical relationships
Function_word
Traditional first example of a computer programming language
main( ) function defines where the program should start executing. The function body consists of a single statement, a call to the printf() function, which
Hello,_world
Representation of a game in game theory
game, regardless of whether that stage actually arises in play. A payoff function for a player is a mapping from the cross-product of players' strategy spaces
Normal-form_game
Distinct, selectively bred animal species
observable characteristics of the parents. A group of like purebreds is called a pure-breeding line or strain. In the world of selective animal breeding, to "breed
Purebred
wave function A wave function | a ⟩ {\displaystyle |a\rangle } is said to be normalized if ⟨ a | a ⟩ = 1 {\displaystyle \langle a|a\rangle =1} . Pure state
Glossary of elementary quantum mechanics
Glossary_of_elementary_quantum_mechanics
About mathematical functions
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
History of the function concept
History_of_the_function_concept
Mathematical functions having established names and notations
analytic function theory (based on complex analysis). The end of the century also saw a very detailed discussion of spherical harmonics. While pure mathematicians
Special_functions
Scientific study of matter's behavior and properties
– not all particles have rest mass, such as the photon. Matter can be a pure chemical substance or a mixture of substances. The atom is the basic unit
Chemistry
Field of knowledge
concerned with abstract concepts such as numbers, geometric shapes, sets, functions, and probabilities. It uses logical reasoning and proof to study and establish
Mathematics
Product of numbers from 1 to n
S2CID 213895324. Barnes, E. W. (1900). "The theory of the G-function". The Quarterly Journal of Pure and Applied Mathematics. 31: 264–314. JFM 30.0389.02. Knuth
Factorial
Context where substituting equivalent expressions can change truth or meaning
Black box Fuzzy concept Inscrutability of reference Masked-man fallacy Pure functions Referential transparency Transitivity of identity "Definition of "opaque
Opaque_context
Concept by Gilles Deleuze
transcendence as a real distinction, Cartesian or otherwise. Pure immanence is thus often referred to as a pure plane, an infinite field or smooth space without substantial
Plane_of_immanence
PURE FUNCTION
PURE FUNCTION
Surname or Lastname
English
English : metonymic occupational name for someone who made bags or purses or for an official in charge of expenditure, from Middle English purse (via Old English from Latin bursa).Scottish : variant of Purser.
Girl/Female
English
Prudence. One of the many qualities and virtues that the Puritans adopted as names after the...
Girl/Female
Greek
Soft breeze.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Heaven; Abundant; Name of a King; A Legendary King Yayati
Boy/Male
Gujarati, Indian
In Begining
Boy/Male
Australian, Greek
Farmer
Male
Ukrainian
, farmer.
Male
Swedish
Danish and Swedish form of Scandinavian Tore, TURE means "thunder."
Girl/Female
Hindu
City
Surname or Lastname
English
English : nickname for a redoubtable warrior, from Middle English prou(s) ‘brave’, ‘valiant’ (Old French proux, preux).Americanized spelling of French Prou (see Proulx).
Boy/Male
Hindu
Unique, Unmatched, New
Boy/Male
Australian, French, Portuguese
Stern; Severe
Boy/Male
Hindu
Abundant, Name of a king
Male
Croatian
, farmer, husbandman.
Male
Slovene
Croatian and Slovene form of Greek Georgios, JURE means "earth-worker, farmer."
Boy/Male
Australian, Hindu, Indian
Devotional Place
Surname or Lastname
Southern French (Péré)
Southern French (Péré) : topographic name from a variant of périer ‘pear tree’.Catalan : from the personal name Pere, Catalan equivalent of Peter.English : variant of Pear 1.Hungarian : from the old secular personal name Pere, Pöre.
Surname or Lastname
Scottish and Irish
Scottish and Irish : reduced form of McCure, an Anglicized form of Gaelic Mac Ãomhair (see McIver).English : possibly from Middle English cure ‘charge’, ‘care’, ‘concern’.
Girl/Female
Spanish
Pure.
Boy/Male
Hindu, Indian
Pure; Sure
PURE FUNCTION
PURE FUNCTION
Male
English
Short form of English Lemuel, LEM means "by God" or "for God."
Girl/Female
Tamil
Leelawati | லீலாவதீ, லீலாவாதீÂ
Playful, Goddess Durga
Girl/Female
Hindu, Indian
Lighting
Girl/Female
Tamil
Bright, Shining
Surname or Lastname
English
English : unexplained.East Asian : unexplained.
Girl/Female
Hindu, Indian
Good
Biblical
my people is liberal
Boy/Male
British, English
From the White Field
Girl/Female
Hindu, Indian, Malayalam, Sanskrit, Tamil, Telugu
The Jatika of Goddess Lakshmi
Female
English
 Anglicized form of Scottish Mysie, a pet form of Mairead (English Margaret), MAISIE means "pearl." British English name meaning "field."
PURE FUNCTION
PURE FUNCTION
PURE FUNCTION
PURE FUNCTION
PURE FUNCTION
v. t.
To remove; to separate; to cut or shave, as the skin, ring, or outside part, from anything; -- followed by off or away; as; to pare off the ring of fruit; to pare away redundancies.
v. t.
To draw up or contract into folds or wrinkles, like the mouth of a purse; to pucker; to knit.
v. t.
To prepare for preservation or permanent keeping; to preserve, as by drying, salting, etc.; as, to cure beef or fish; to cure hay.
adv.
In a sure manner; safely; certainly.
n.
Hence, a treasury; finances; as, the public purse.
v. i. & t.
To murmur as a cat. See Pur.
v. t.
To cut off, or shave off, the superficial substance or extremities of; as, to pare an apple; to pare a horse's hoof.
v. t.
To clear from guilt, or from moral or ceremonial defilement; as, to purge one of guilt or crime.
n.
Medical or hygienic care; remedial treatment of disease; a method of medical treatment; as, to use the water cure.
n.
A gentle murmur, as that produced by the running of a liquid among obstructions; as, the purl of a brook.
n.
To draw to the lure; hence, to allure or invite by means of anything that promises pleasure or advantage; to entice; to attract.
v. i.
To restore health; to effect a cure.
n.
A sum of money offered as a prize, or collected as a present; as, to win the purse; to make up a purse.
a.
Pure; undefiled.
n.
The low murmuring sound made by a cat; pur. See Pur.
v. t.
To put into a purse.
superl.
Certain to find or retain; as, to be sure of game; to be sure of success; to be sure of life or health.
n.
Spiritual charge; care of soul; the office of a parish priest or of a curate; hence, that which is committed to the charge of a parish priest or of a curate; a curacy; as, to resign a cure; to obtain a cure.
superl.
Separate from all heterogeneous or extraneous matter; free from mixture or combination; clean; mere; simple; unmixed; as, pure water; pure clay; pure air; pure compassion.
v. i.
To become pure, as by clarification.