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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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
(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
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)
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
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
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
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
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
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
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
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
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
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)
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, 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
and Zhouchen Lin. "Construction of Incoherent Dictionaries via Direct Babel Function Minimization" (PDF). Compressed sensing Mutual coherence (linear
Babel_function
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
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 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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)
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
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
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
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
Hardware description language API
other. Direct Programming Interface (DPI) allows direct inter language function calls between the SystemVerilog and Foreign language. The functions implemented
SystemVerilog_DPI
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
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
notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. The notion of polyconvexity was introduced
Polyconvex_function
Integral of sin(x)/x from 0 to infinity
Gustav Lejeune Dirichlet, one of which is the improper integral of the sinc function over the positive real number line. ∫ 0 ∞ sin x x d x = π 2 . {\displaystyle
Dirichlet_integral
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
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
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
Description of particle density in statistical mechanics
or by direct visualization for large enough (micrometer-sized) particles via traditional or confocal microscopy. The radial distribution function is of
Radial_distribution_function
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
Conjecture on zeros of the zeta function
conjecturaly satisfied by most functions usually called zeta functions or L-functions) than for functions defined by direct formula. Though it is expected
Riemann_hypothesis
Java web framework
Direct Web Remoting, or DWR, is a Java open-source library that helps developers write web sites that include Ajax technology. It allows code in a web
Direct_Web_Remoting
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
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)
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)
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
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
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
Theory developed by Karl Marx
This instrumentalist view of the state, where political power is a direct function of economic power, stood in contrast to Marx's contemporary view of
Marx's_theory_of_the_state
physiological activity such as brainwaves, heart function, breathing, muscle activity, and skin temperature. Direct Visual Feedback's method applies more directly
Direct_visual_feedback
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
DIRECT FUNCTION
DIRECT FUNCTION
Girl/Female
Hindu, Indian, Malayalam, Marathi, Telugu
Direct; Lead
Boy/Male
Tamil
One who directs, Guide
Boy/Male
Hindu, Indian, Marathi
One who Directs; Guide
Boy/Male
American, Australian, British, Chinese, English, German
Ruler of the People; The People's Ruler
Boy/Male
Hindu, Indian, Marathi
One who Directs; Leader
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Crown
Girl/Female
Indian, Sikh
Lion
Male
Turkish
Turkish name DIRENÇ means "resistance."
Boy/Male
Indian, Punjabi, Sikh
Hearty Traditions
Boy/Male
Indian, Punjabi, Sikh
One who Sings Glory of God
Girl/Female
Greek Latin
Killed for abusing children.
Girl/Female
Teutonic American German Latin
Directed.
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
Dutch
Dutch forms of Theodoric.
Boy/Male
Hindu
Direct evidence
Male
French
French form of Latin Benedictus, BÉNÉDICT means "blessed."Â
Boy/Male
English American German
Leader.
Girl/Female
Tamil
Direct, Lead
Girl/Female
Indian, Sikh
Faithful
Boy/Male
German
People's Ruler
DIRECT FUNCTION
DIRECT FUNCTION
Female
Italian
Italian and Spanish form of Teutonic Erminhild, IMELDA means "all warrior."Â
Boy/Male
Australian, Celtic, Gaelic, Irish
Hero
Girl/Female
Muslim
Flower
Girl/Female
Arabic, Muslim
A Spring in Paradise
Girl/Female
Tamil
Bilpa Shree | பீலà¯à®ªà®¾ à®·à¯à®°à¯€Â
Bilvapatre
Boy/Male
Tamil
Sabarinath | ஸபரீநாத
Lord Rama
Girl/Female
Arabic, Muslim
Name of the Daughter of Munyah who Arranged the Marriage of the Prophet PBUH with Sayyidah Khadijah RA
Boy/Male
British, English
From the Meadow Near the Lake
Girl/Female
German, Irish
Hazelnut; Beautiful; Radiant
Boy/Male
Biblical
Increase of the Lord, the Lord's finishing.
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
DIRECT FUNCTION
a.
Not direct; not straight or rectilinear; deviating from a direct line or course; circuitous; as, an indirect road.
n.
One who directs; a director.
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.
In the line of descent; not collateral; as, a descendant in the direct line.
a.
Indirect.
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 point out to with authority; to instruct as a superior; to order; as, he directed them to go.
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.
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.
a.
Not reaching the end aimed at by the most plain and direct method; as, an indirect proof, demonstration, etc.
adv.
In a direct manner; in a straight line or course.
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.
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.
n.
One who, or that which, directs; one who regulates, guides, or orders; a manager or superintendent.
v. t.
To direct.
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.
adv.
In a straightforward way; without anything intervening; not by secondary, but by direct, means.
n.
A part of a machine or instrument which directs its motion or action.
imp. & p. p.
of Direct