"Dfns" redirects here. For the political entity sometimes known as the Democratic Federation of Northern Syria, see Rojava.
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 APL. A direct operator can also be called a dop (pronounced "dee op"). They were invented by John Scholes in 1996.[1] They are a unique combination of array programming, higher-order function, and functional programming, and are a major distinguishing advance of early 21st century APL over prior versions.
A dfn is a sequence of possibly guarded expressions (or just a guard) between { and }, separated by ⋄ or new-lines, wherein ⍺ denotes the left argument and ⍵ the right, and ∇ denotes recursion (function self-reference). For example, the function PT tests whether each row of ⍵ is a Pythagorean triplet (by testing whether the sum of squares equals twice the square of the maximum).
A directfunction (dfn, pronounced "dee fun") is an alternative way to define a function and operator (a higher-order function) in the programming language...
requirements of direct access of state spaces of large or variable-length keys. Use of hash functions relies on statistical properties of key and function interaction:...
any measurable set is measurable. This is in direct analogy to the definition that a continuous function between topological spaces preserves the topological...
tangent integral, polygamma function, Riemann zeta function, Dirichlet eta function, and Dirichlet beta function. The Clausen function of order 2 – often referred...
Direct democracy or pure democracy is a form of democracy in which the electorate decides on policy initiatives without elected representatives as proxies...
Direct costs, in accounting, are those costs which are directly accountable to a cost object (such as a particular project, facility, function or product)...
directfunction syntax where the left (optional) and right arguments are denoted by the letters alpha and omega. For example, the following function computes...
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...
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's...
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...
male that contribute towards the reproduction process. The primary directfunction of the male reproductive system is to provide the male sperm for fertilization...
Research has demonstrated that organizational effectiveness is a directfunction of the decision-making criteria and goal-centered activities embedded...
In mathematics, a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept...
communication systems, function generators, mixers, modulators, sound synthesizers and as part of a digital phase-locked loop. A basic Direct Digital Synthesizer...
a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models...
f is a choice function for X if and only if it belongs to the direct product of X. Let X = { {1,4,7}, {9}, {2,7} }. Then the function f defined by f({1...
rotation. The Gudermannian function gives a direct relationship between the circular functions and the hyperbolic functions that does not involve complex...
In quantum physics, a wave function (or wavefunction) is a mathematical description of the quantum state of an isolated quantum system. The most common...
redistributive function of the government identified by Richard Musgrave in his The Theory of Public Finance (1959). A progressive direct taxation could...
cumulative distribution function (CDF) of a real-valued random variable X {\displaystyle X} , or just distribution function of X {\displaystyle X} ,...
likelihood function (often simply called the likelihood) is the joint probability mass (or probability density) of observed data viewed as a function of the...
In electrical engineering, a function generator is usually a piece of electronic test equipment or software used to generate different types of electrical...
Brunswick Corp., 28 USPQ 2d 1197, 1199 (1993). Even though there is no directfunction for the colour black in this case, protection was denied under the...
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