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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
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
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
Hyperbolic analogues of trigonometric functions
rotation. The Gudermannian function gives a direct relationship between the circular functions and the hyperbolic functions that does not involve complex
Hyperbolic_functions
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
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
(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
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
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
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
Configuration file for computer networking
example of a PAC file is: function FindProxyForURL(url, host) { return 'PROXY proxy.example.com:8080; DIRECT'; } This function instructs the browser to
Proxy_auto-config
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
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
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
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
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
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
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
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
Mathematical function with no sudden changes
a continuous function is a function such that a small variation of the argument induces a small variation of the value of the function. This implies
Continuous_function
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
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
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
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
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
Functions in mathematics
the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U → R {\displaystyle f:U\to \mathbb {R} }
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
and Zhouchen Lin. "Construction of Incoherent Dictionaries via Direct Babel Function Minimization" (PDF). Compressed sensing Mutual coherence (linear
Babel_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
Medical intervention
second reaction with a solid phase antigen. The amount of radioactive remaining in the solution is direct function of the antigen concentration. v t e
Immunoradiometric_assay
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)
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
Method for creating waveforms
communication systems, function generators, mixers, modulators, sound synthesizers and as part of a digital phase-locked loop. A basic Direct Digital Synthesizer
Direct_digital_synthesis
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
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
Multivariate derivative (mathematics)
scalar-valued differentiable function f {\displaystyle f} of several variables is the vector field (or vector-valued function) ∇ f {\displaystyle \nabla
Gradient
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
Study of DNA modifications that do not change its sequence
epigenetic function. In other words, changes to the histone tails have a direct effect on the DNA itself. Another model of epigenetic function is the "trans"
Epigenetics
Method for constructing existence proofs and calculating solutions in variational calculus
In mathematics, the direct method in the calculus of variations is a general method for constructing a proof of the existence of a minimizer for a given
Direct method in the calculus of variations
Direct_method_in_the_calculus_of_variations
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
important property typical for a direct limit of injective morphisms, namely that every individual element (symmetric function) is already faithfully represented
Ring_of_symmetric_functions
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
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
Programming construct
usually with the same syntax (a function parameter that can also be a function). In some languages, particularly C++, function objects are often called functors
Function_object
Generalization of the Cartesian product
coordinate functions. Also, every homomorphism f {\displaystyle f} to the direct product is totally determined by its component functions f i = π i ∘
Direct_product
Modifying the visible features of areas of land
in your house (each one has a function). Outdoor spaces have a vast amount of flexibility as far as materials and function. It is often said the only limitation
Landscaping
Electronic test equipment used to generate electrical waveforms
In electrical engineering, a function generator is usually a piece of electronic test equipment or software used to generate different types of electrical
Function_generator
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
Branch of mathematics studying functions of a complex variable
traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of a complex variable of
Complex_analysis
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)
Takeover of a self-governing territory by an external power
that a state government is unable to function, the Constitution provides for the state to come under the direct control of the central government. In
Direct_rule
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
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
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
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
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
The Patterson function is used to solve the phase problem in X-ray crystallography. It was introduced in 1935 by Arthur Lindo Patterson while he was a
Patterson_function
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
physiological activity such as brainwaves, heart function, breathing, muscle activity, and skin temperature. Direct Visual Feedback's method applies more directly
Direct_visual_feedback
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)
Branded engine design
TDI (Turbocharged Direct Injection) is the Volkswagen Group's term for its current common rail direct injection turbodiesel engine range that have an
TDI_(engine)
Type of Dirichlet series associated to number field extensions
like Dedekind zeta functions and Dirichlet L-functions. Artin L-functions behave well with respect to direct sum of representations: L ( s , ρ 1 ⊕ ρ 2
Artin_L-function
Field of medical research
Gain-of-function research (GoF research or GoFR) is medical research that genetically alters an organism in a way that may enhance the biological functions of
Gain-of-function_research
Machine learning technique
an intelligent agent's goal is to learn a function that guides its behavior, called a policy. The function is iteratively optimized to increase the reward
Reinforcement learning from human feedback
Reinforcement_learning_from_human_feedback
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
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
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
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
Function related to statistics and probability theory
A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability
Likelihood_function
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
Type of dual-clutch transmission
A direct-shift gearbox (DSG, German: Direktschaltgetriebe) is an electronically controlled, dual-clutch, multiple-shaft, automatic gearbox, in either a
Direct-shift_gearbox
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)
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
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
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)
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
Quality of service enhancements for wireless LANs
The original 802.11 MAC defines another coordination function called the point coordination function (PCF). This is available only in "infrastructure" mode
IEEE_802.11e-2005
Saab Direct Ignition is a capacitor discharge ignition developed by Saab Automobile, then known as Saab-Scania, and Mecel AB during the 1980s. It was first
Saab_Direct_Ignition
Formula for the derivative of an inverse function
calculus, the inverse function rule is a formula that expresses the derivative of the inverse of a bijective and differentiable function f in terms of the
Inverse_function_rule
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
Second order recursive digital linear filter
may be eliminated between sections. The direct form 2 implements the same normalized transfer function as direct form 1, but in two parts: y [ n ] = b
Digital_biquad_filter
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)
DIRECT FUNCTION
DIRECT FUNCTION
Boy/Male
Hindu, Indian, Marathi
One who Directs; Leader
Girl/Female
Tamil
Direct, Lead
Girl/Female
Greek Latin
Killed for abusing children.
Boy/Male
Indian, Punjabi, Sikh
One who Sings Glory of God
Boy/Male
Tamil
One who directs, Guide
Boy/Male
Hindu
Direct evidence
Girl/Female
Hindu, Indian, Malayalam, Marathi, Telugu
Direct; Lead
Boy/Male
Indian, Punjabi, Sikh
Hearty Traditions
Girl/Female
Indian, Sikh
Faithful
Boy/Male
German
People's Ruler
Boy/Male
Dutch
Dutch forms of Theodoric.
Male
French
French form of Latin Benedictus, BÉNÉDICT means "blessed."Â
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, Indian, Marathi
One who Directs; Guide
Male
Turkish
Turkish name DIRENÇ means "resistance."
Girl/Female
Teutonic American German Latin
Directed.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Crown
Girl/Female
Indian, Sikh
Lion
Boy/Male
American, Australian, British, Chinese, English, German
Ruler of the People; The People's Ruler
Boy/Male
English American German
Leader.
DIRECT FUNCTION
DIRECT FUNCTION
Boy/Male
Hindu
Surname or Lastname
English (Lancashire)
English (Lancashire) : variant of Greenhow.Americanized spelling of French Grignon.
Boy/Male
Australian, French, Swedish
He who Seduces
Female
German
 Pet form of German Susanne, SUSE means "lily." Compare with another form of Suse.
Girl/Female
Indian
Progressive, Productive
Boy/Male
Hindu, Indian
Quick; Soft
Boy/Male
American, Australian, British, English, French
Fortified Hill; From the Fortified Settlement
Girl/Female
Gujarati, Hindu, Indian
Best; Winner
Boy/Male
Hindu
Laughing smileing
Boy/Male
Tamil
Famed
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
v. t.
To point out or show to (any one), as the direct or right course or way; to guide, as by pointing out the way; as, he directed me to the left-hand road.
n.
One who directs; a director.
a.
Not resulting directly from an act or cause, but more or less remotely connected with or growing out of it; as, indirect results, damages, or claims.
v. t.
To arrange in a direct or straight line, as against a mark, or towards a goal; to point; to aim; as, to direct an arrow or a piece of ordnance.
a.
Directed upward; raised; uplifted.
n.
Failing; fault; imperfection, whether physical or moral; blemish; as, a defect in the ear or eye; a defect in timber or iron; a defect of memory or judgment.
imp. & p. p.
of Direct
adv.
In a direct manner; in a straight line or course.
adv.
In a straightforward way; without anything intervening; not by secondary, but by direct, means.
a.
Not direct; not straight or rectilinear; deviating from a direct line or course; circuitous; as, an indirect road.
v. t.
To determine the direction or course of; to cause to go on in a particular manner; to order in the way to a certain end; to regulate; to govern; as, to direct the affairs of a nation or the movements of an army.
a.
Indirect.
n.
A part of a machine or instrument which directs its motion or action.
n.
One who, or that which, directs; one who regulates, guides, or orders; a manager or superintendent.
a.
Straight; not crooked, oblique, or circuitous; leading by the short or shortest way to a point or end; as, a direct line; direct means.
v. t.
To put a direction or address upon; to mark with the name and residence of the person to whom anything is sent; to superscribe; as, to direct a letter.
a.
Not reaching the end aimed at by the most plain and direct method; as, an indirect proof, demonstration, etc.
v. t.
To direct.
a.
In the line of descent; not collateral; as, a descendant in the direct line.
v. t.
To point out to with authority; to instruct as a superior; to order; as, he directed them to go.