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Alternate way to define a function in APL
A direct function (dfn, pronounced "dee fun") is an alternative way to define a function and operator (a higher-order function) in the programming language
Direct_function
Transcendental single-variable function
tangent integral, polygamma function, Riemann zeta function, Dirichlet eta function, and Dirichlet beta function. The Clausen function of order 2 – often referred
Clausen_function
Dynamical system whose system function is not directly dependent on time
time-invariant (TI) system has a time-dependent system function that is not a direct function of time. Such systems are regarded as a class of systems
Time-invariant_system
Kind of mathematical function
any measurable set is measurable. This is in direct analogy to the definition that a continuous function between topological spaces preserves the topological
Measurable_function
Family of solutions to related differential equations
Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena
Bessel_function
Equation in statistical mechanics
equation relates the pair correlation function to the direct correlation function. The direct correlation function is only used in connection with the OZ
Ornstein–Zernike_equation
Device that forwards data packets between computer networks
internetworks such as the global Internet. Routers perform the traffic directing functions on the Internet. A router is connected to two or more data lines
Router_(computing)
Order-preserving mathematical function
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept
Monotonic_function
Property of two varying quantities with a constant ratio
Two functions f(x) and g(x) are proportional if their ratio f(x)g(x) is a constant function. If several pairs of variables share the same direct proportionality
Proportionality_(mathematics)
Costs directly accountable to a cost object
Direct costs, in accounting, are costs directly accountable to a cost object (such as a particular project, facility, function, or product). The equivalent
Direct_costs
Programming style in which control is passed explicitly
continuation function is represented as a parameter named "k": In the CPS versions, the primitives used, like +& and *& are themselves CPS, not direct style
Continuation-passing_style
British computer scientist (1948-2019)
the programming language APL. He was the designer and implementer of direct functions. John Scholes was born on 24 April 1948 to Gerry and Amy Scholes. He
John_M._Scholes
Organs involved in reproduction
male that contribute towards the reproduction process. The primary direct function of the male reproductive system is to provide the male sperm for fertilization
Human_reproductive_system
Organisation of elements within a gene
determines the function of the gene. A gene is transcribed (copied) from DNA into RNA, which can either be non-coding RNA (ncRNA) with a direct function, or an
Gene_structure
Special functions of several complex variables
mathematics, theta functions are special functions of several complex variables. Fundamentally, they are a family of continuous functions which encode the
Theta_function
Broadcasting of television using artificial satellites
Arthur C. Clarke proposed a worldwide communications system which would function by means of three satellites equally spaced apart in Earth orbit. This
Satellite_television
(1969). In this earlier model, supply (specifically labor supply) is a direct function of real wages: more work will be done when real wages are high and
Lucas aggregate supply function
Lucas_aggregate_supply_function
Topics referred to by the same term
Freedom Network, formerly the Dalit Freedom Network Direct function (dfn), a way to define a function in the APL programming language Discrete Fracture
DFN
Form of democracy
another form of direct democracy, consisting of an assembly open to everyone within a local area or entity. Their roles and functioning have varied throughout
Direct_democracy
Data table used to control program flow
referenced varies. Some languages provide a direct function reference (i.e. pointer) that can be used to invoke a function directly, but some languages do not
Control_table
Generalized function whose value is zero everywhere except at zero
likely a direct influence on Dirac, given Dirac's background in engineering. Indeed, Heaviside introduced the δ {\displaystyle \delta } -function in his
Dirac_delta_function
Mathematical function, denoted exp(x) or e^x
In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted
Exponential_function
Functions such that f(–x) equals f(x) or –f(x)
In mathematics, an even function is a real function such that f ( − x ) = f ( x ) {\displaystyle f(-x)=f(x)} for every x {\displaystyle x} in its domain
Even_and_odd_functions
Indian satellite television provider
subscribers and standalone users."Sun Direct GO". Sun Direct GO. Retrieved 25 May 2026. Sun Direct GO functions as an OTT aggregation platform by integrating
Sun_Direct
Hyperbolic analogues of trigonometric functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just
Hyperbolic_functions
Type of function in mathematics
an analytic function is a function that is locally represented by a convergent power series. More precisely, a real or complex function is analytic at
Analytic_function
Functions in mathematics
the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R {\displaystyle f\colon U\to \mathbb
Harmonic_function
Formal power series
generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often
Generating_function
Function specifying the behavior of a component in an electronic or control system
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models
Transfer_function
Unidirectional flow of electric charge
Direct current (DC) is one-directional flow of electric charge. An electrochemical cell is a prime example of DC power. Direct current may flow through
Direct_current
Care by a clinical professional in the UK NHS
Direct care is the care of an identified patient by an identified clinical professional, used throughout the National Health Service in the United Kingdom
Direct_care
Theorem in mathematics
mathematical analysis, the inverse function theorem gives sufficient conditions for a function to have an inverse function. The essential idea is that if
Inverse_function_theorem
C header
<direct.h> is a C/C++ header file provided by Microsoft Windows, which contains functions for manipulating file system directories. Some POSIX functions
Direct.h
Mathematical function with no sudden changes
In mathematics, a continuous function is a function such that a small variation of its argument induces at most a small variation of its value. This implies
Continuous_function
Mathematical concept
In 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
Inverse_function
Two functions defined from each other
each phase in a separate function with mutual recursion, though they can also be combined into a single function with direct recursion. In mathematics
Mutual_recursion
Teaching by lecture or demonstration
room complete homework, build executive functioning skills, and improve teacher efficiency. Another popular direct instruction approach is the Success for
Direct_instruction
Operation on mathematical functions
two functions, f {\displaystyle f} and g {\displaystyle g} , and returns a new function f ∘ g {\displaystyle f\circ g} . When the composite function f ∘
Function_composition
Function that preserves distinctness
In mathematics, an injective function (also known as injection, or one-to-one function) is a function f that maps distinct elements of its domain to distinct
Injective_function
Probability that random variable X is less than or equal to x
cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,
Cumulative distribution function
Cumulative_distribution_function
Point to which functions converge in analysis
mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which
Limit_of_a_function
Replacing a number with a simpler value
procedure. These are true functions (with the exception of those that use randomness). These four methods are called directed rounding to an integer, as
Rounding
1949–1991 international economic union
involving members of the organization, rather than being restricted to the direct functions of Comecon and its organs. This usage was sometimes extended as well
Comecon
Airspeed corrected for instrument and position error
standard sea level values. It so happens that the speed of sound is a direct function of temperature, so instead of a standard temperature, we can define
Calibrated_airspeed
Concept in the analysis of dynamical systems
ordinary differential equations (ODEs), Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of
Lyapunov_function
Branch of mathematics studying functions of a complex variable
holomorphic functions, which are differentiable functions of a complex variable. In contrast with a differentiable real function, a holomorphic function is always
Complex_analysis
Mathematical function
the Chebyshev function is either a scalarising function (Tchebycheff function) or one of two related functions. The first Chebyshev function ϑ(x) or θ(x)
Chebyshev_function
Generalization of the Cartesian product
called the coordinate functions. Also, every homomorphism f to the direct product is totally determined by its component functions fi=πi∘f. For any group
Direct_product
Formula for the derivative of an inverse function
of the inverse function, dydx=d2ydx2=ex=y ; (dydx)3=y3; so that d2xdy2⋅y3+y=0 ; d2xdy2=−1y2, which agrees with the direct calculation. Mathematics
Inverse_function_rule
in Java when J/Direct was designed, Microsoft used a special syntax in Java comments. For example, to declare the GetSysColor function in the User32 API:
J/Direct
Arithmetic function related to the divisors of an integer
theory, a divisor function is an arithmetic function related to the divisors of an integer. When referred to as the divisor function, it counts the number
Divisor_function
Mathematical description of quantum state
In quantum mechanics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common
Wave_function
Generating function in integrable systems
Hirota in his direct method approach to soliton equations, based on expressing them in an equivalent bilinear form. The term tau function, or τ {\displaystyle
Tau function (integrable systems)
Tau_function_(integrable_systems)
Named function defined within a function
In computer programming, a nested function (or nested procedure or subroutine) is a named function that is defined within another (enclosing) block and
Nested_function
Concept in mathematics
In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation This equation is found when the
Parabolic_cylinder_function
American health technology company
Function Health, often stylized as simply Function, is an American company and platform headquartered in Austin, Texas. The venture capital-backed company
Function_Health
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
Method for constructing existence proofs and calculating solutions in variational calculus
necessary conditions for a function to be a minimizer is the Euler–Lagrange equation. But seeking a minimizer amongst functions satisfying these may lead
Direct method in the calculus of variations
Direct_method_in_the_calculus_of_variations
Terminology used in computer graphics
depth queries, texture mapping and more to fixed-function implementations. The CPU does not direct the GPU how to specifically process these operations;
Fixed-function (computer graphics)
Fixed-function_(computer_graphics)
instrumental tool in various estimation problems. This is a direct result of the fact that ridge functions are constant in d − 1 {\displaystyle d-1} directions:
Ridge_function
Use of functions that call themselves
demonstrate direct recursion, in which a function calls itself. Indirect recursion occurs when a function is called not by itself but by another function that
Recursion_(computer_science)
Branch of mathematics
of the function near that point. By finding the derivative of a function at every point in its domain, it is possible to produce a new function, called
Calculus
Function that takes one or more functions as an input or that outputs a function
computer science, a higher-order function (HOF) is a function that does at least one of the following: takes one or more functions as arguments (i.e. a procedural
Higher-order_function
Mathematical approximation of a function
of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the
Taylor_series
Instantaneous rate of change (mathematics)
quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input
Derivative
Guidance on project management
Research has demonstrated that organizational effectiveness is a direct function of the decision-making criteria and goal-centered activities embedded
ISO_21500
Hash function that is suitable for use in cryptography
A cryptographic hash function (CHF) is a hash algorithm (a map of an arbitrary binary string to a binary string with a fixed size of n {\displaystyle n}
Cryptographic_hash_function
Distance from origin of tangent hyperplanes
{\displaystyle x\neq 0} , the support function value h A ( x ) {\displaystyle h_{A}(x)} no longer represents a direct spatial distance. Instead, it can be
Support_function
Function returning one of only two values
switching function, used especially in older computer science literature, and truth function (or logical function), used in logic. Boolean functions are the
Boolean_function
transmitted or not. Imperfections in the optics typically have a direct effect on the pupil function, it is therefore an important tool to study optical imaging
Pupil_function
Clause relationships in linguistics
grammatical functions from traditional grammar are subject, direct object, and indirect object. In recent times, the syntactic functions (more generally
Grammatical_relation
Class of mathematical functions
elliptic functions are elliptic functions that take a particularly simple form. They are named for Karl Weierstrass. This class of functions is also referred
Weierstrass_elliptic_function
Weapons firing with line of sight on target
technology continued to diminish the role of direct fire; however, in several situations it remains a necessary function on the modern battlefield. One of these
Direct_fire
Concept in computer science
History of Functional Programming Languages" (PDF). Scholes, John. "Direct Functions in Dyalog APL" (PDF). Guard in Free On-Line Dictionary of Computing
Guard_(computer_science)
Coding guidelines by Gerald J. Holzmann
about 60 lines of code per function. The code's assertions density should average to minimally two assertions per function. Assertions must be used to
The Power of 10: Rules for Developing Safety-Critical Code
The_Power_of_10:_Rules_for_Developing_Safety-Critical_Code
Mathematical relation consisting of a multi-variable function equal to zero
multivariable functions that are continuously differentiable. A common type of implicit function is an inverse function. Not all functions have a unique
Implicit_function
Real function with finite total variation
In mathematical analysis, a function of bounded variation, also known as BV function, is a real-valued function whose total variation is bounded (finite):
Bounded_variation
Medical condition
concentration of potassium: The amount of aldosterone secreted is a direct function of the serum potassium as probably determined by sensors in the carotid
Glucocorticoid remediable aldosteronism
Glucocorticoid_remediable_aldosteronism
In mathematics, a mapping between categories
encodes data like functions or sections over open regions—defined on a space X, and a continuous map from X to another space Y, then the direct image functor
Direct_image_functor
Branded engine design
TDI (Turbocharged Direct Injection) was created under Ferdinand Piëch and is Volkswagen Group's term for its current common rail direct injection turbodiesel
TDI_(engine)
import Module (function) – Haskell import function from "modname"; – JavaScript import {function} from "modname"; – JavaScript import {function as altname}
Comparison of programming languages (syntax)
Comparison_of_programming_languages_(syntax)
Concept in mathematics
generalization of the factorial to the gamma function. There are multiple equivalent definitions of the K-function. The direct definition: K ( z ) = ( 2 π ) − z
K-function
Principle in economics and game theory
implements the utilitarian function. Suppose we have an arbitrary mechanism Mech that implements Soc. We construct a direct mechanism Mech' that is truthful
Revelation_principle
Mixture formation system
Gasoline direct injection (GDI), also known as petrol direct injection (PDI), is a fuel injection system for internal combustion engines that run on gasoline
Gasoline_direct_injection
adrenocorticotropic hormone, FSH and LH. Some have targets in glands and some have direct function. Conditions related to the limbic system regulate hormone release.
Hypothalamic–pituitary hormone
Hypothalamic–pituitary_hormone
Sequence of program instructions invokable by other software
In computer programming, a function (also procedure, method, subroutine, routine, or subprogram) is a callable unit of software logic that has a well-formed
Function (computer programming)
Function_(computer_programming)
Wi-Fi standard for peer-to-peer wireless connections
displays, and many other functions can be implemented with Wi-Fi Direct. This has begun with Wi-Fi mouse products, and Wi-Fi Direct remote controls that were
Wi-Fi_Direct
On converting relations to functions of several real variables
In multivariable calculus, the implicit function theorem is a theorem that provides sufficient conditions under which a planar curve specified by F ( x
Implicit_function_theorem
Topological vector spaces
test functions and distributions are topological vector spaces (TVSs) that are used in the definition and application of distributions. Test functions are
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
American satellite television provider
DirecTV, LLC (stylized in all caps as DIRECTV) is an American direct broadcast satellite and streaming television company based in El Segundo, California
DirecTV
Complex complementary error function
The Faddeeva function or Kramp function is a scaled complex complementary error function, w ( z ) := e − z 2 erfc ( − i z ) = erfcx ( − i z ) = e
Faddeeva_function
Optimization replacing a function call with that function's source code
inlining. The direct benefits of eliminating a function call are: It eliminates instructions needed for a function call, both in the calling function and in
Inline_expansion
Cryptographic hash function
In cryptography, Tiger is a cryptographic hash function designed by Ross Anderson and Eli Biham in 1995 for efficiency on 64-bit platforms. The size of
Tiger_(hash_function)
Integral expressing the amount of overlap of one function as it is shifted over another
mathematical operation on two functions f and g that produces a third function f∗g, as the integral of the product of the two functions after one is reflected
Convolution
Type of trade mark for the association of a colour with a brand
trade mark where at least one colour is used to perform the trade mark function of uniquely identifying the commercial origin of products or services.
Colour_trade_mark
Value approached by a mathematical object
limit is the value that a function (or sequence) approaches as the argument (or index) approaches some value. Limits of functions are essential to calculus
Limit_(mathematics)
Matrix of partial derivatives of a vector-valued function
calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives
Jacobian matrix and determinant
Jacobian_matrix_and_determinant
Concept in mechanism design
{\displaystyle i} is a function of the chosen outcome and of the valuations of the other agents v − i {\displaystyle v_{-i}} - but not a direct function of the agent's
Strategyproofness
Operation in calculus
also refer to the concept of an antiderivative, a function whose derivative is the given function; in this case, they are also called indefinite integrals
Integral
Method of mathematical integration
of a non-negative function of a single variable can be regarded, in the simplest case, as the area between the graph of that function and the x-axis. The
Lebesgue_integral
travel, tourism, insurance
DIRECT FUNCTION
DIRECT FUNCTION
Girl/Female
Indian, Sikh
Lion
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Crown
Male
French
French form of Latin Benedictus, BÉNÉDICT means "blessed."Â
Boy/Male
Tamil
One who directs, Guide
Boy/Male
Indian, Punjabi, Sikh
One who Sings Glory of God
Boy/Male
English American German
Leader.
Girl/Female
Teutonic American German Latin
Directed.
Girl/Female
Greek Latin
Killed for abusing children.
Boy/Male
American, Australian, British, Chinese, English, German
Ruler of the People; The People's Ruler
Girl/Female
Hindu, Indian, Malayalam, Marathi, Telugu
Direct; Lead
Boy/Male
Tamil
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Direct evidence
Pratyaksh | பà¯à®°à®¤à¯à®¯à®•à¯à®·
Boy/Male
Hindu
Direct evidence
Boy/Male
Hindu, Indian, Marathi
One who Directs; Guide
Girl/Female
Indian, Sikh
Faithful
Boy/Male
Indian, Punjabi, Sikh
Hearty Traditions
Boy/Male
German
People's Ruler
Girl/Female
Tamil
Direct, Lead
Male
Turkish
Turkish name DIRENÇ means "resistance."
Boy/Male
Hindu, Indian, Marathi
One who Directs; Leader
Boy/Male
Dutch
Dutch forms of Theodoric.
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
travel, tourism, insurance