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Page "Functional programming" ¶ 16
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Purely and functional
Purely functional languages can provide an opportunity for computation to be performed in parallel, avoiding von Neumann bottleneck of sequential one step at time execution, since values are independent of each other.
Purely functional is a term in computing used to describe algorithms, data structures or programming languages that exclude destructive modifications ( updates ).
* Purely functional data structures by Chris Okasaki, Cambridge University Press, 1998, ISBN 0-521-66350-4.
Purely functional programs can use monads to structure procedures that include sequenced operations.
* Purely functional data structures by Chris Okasaki, Cambridge University Press, 1998, ISBN 0-521-66350-4.
Purely functional list, adapted from Okasaki ( but redrawn by me using graphviz ).

Purely and functions
Purely mathematically, the test functions are completely arbitrary-they belong to an infinitely dimensional function space.

Purely and have
Purely geological SSSIs often have much shorter OLD lists.
Purely water-based seaplanes have largely been supplanted by amphibious aircraft.
Purely textual pornographic texts, with no hint of libel, have not been brought to trial since the Inside Linda Lovelace trial collapsed in 1976.
Purely folk joiks have declined in popularity over the 20th century, due to the influence of pop radio and religious fundamentalism, especially Laestadianism.
* Purely elastic materials have stress and strain in phase, so that the response of one caused by the other is immediate.
Purely electronic brake and steering systems have yet to find widespread application in passenger cars.
Purely mechanical pre-automotive systems included such designs as the Watt centrifugal governor whereas modern systems may have electronic fluid speed sensing components directing solenoids to set the valve to the desired rate.
Purely numeric identifiers have now been approved for release by Telnic and will be released later in 2011, with the restriction that single-digit tel domains be withheld in order to avoid confusion with ENUM.

Purely and I
Recordings include Scantily Plaid on their album, " Just Checking In ", Édain on " JOYceFUL ", Éilís Kennedy on " One Sweet Kiss ", Tríona Ní Dhomhnaill on Donal Lunny's Coolfin, Allison Barber on " Traveling Home ", Órla Fallon from Celtic Woman on the album of the same name, Lisa Kelly ( who was also with Celtic Woman ) on " Lisa ", Ciúnas on " Celtic Tiger ", Aoife Ní Fhearraigh on " If I Told You ", Maighréad Ní Dhomhnaill & Iarla Ó Lionáird on " Sult ", Anúna on " Invocation " with Lucy Champion, Connie Dover on " The Wishing Well ", Akelarre Agrocelta on " La Amenaza Celta ", Nora Butler on " Geantraí " and Siobhan Owen on " Purely Celtic ".
" Purely in the context of my own work ," he wrote in a published playscript of his celebrated Ubu and the Truth Commission, " I would repeat my trust in the contingent, the inauthentic, the whim, the practical, as strategies for finding meaning.
Purely by memorizing theorems at Choate, I had done well in plane geometry and had got a perfect score on my College Board examination, but at St. John ’ s the students were assigned some ten theorems a day.

Purely and /
#" Me Just Purely " – 2: 44 ( Benson / Falkner )

Purely and effects
Purely monetary factors are considered to be as much symptoms as causes, albeit symptoms with aggravating effects that should not be completely neglected.

Purely and .
`` Purely from the business man's standpoint and without regard to the lawyer's view '', commented a trade journal, `` the matter of patents in the automobile and accessory trade is developing some phases and results that challenge thought as to how far patents are to become weapons of warfare in business, instead of simple beneficient protection devices for encouraging inventive creation ''.
Purely electronic sound production can be achieved using devices such as the Theremin, sound synthesizer, and computer.
Purely ionic bonds cannot exist, as the proximity of the entities involved in the bond allows some degree of sharing electron density between them.
Purely instrumental music included consort music for recorder or viol and other instruments, and dances for various ensembles.
* Hempel, C. G. A Purely Syntactical Definition of Confirmation.
Purely through the use of his reason, Hayy goes through all the gradations of knowledge before emerging into human society, where he revealed to be a believer of Natural religion, which Cotton Mather, as a Christian Divine, identified with Primitive Christianity.
Purely optical techniques can be used to study interfaces under a wide variety of conditions.
Purely formal proofs, written in symbolic language instead of natural language, are considered in proof theory.
Purely decorative techniques such as shirring, smocking, and embroidery.
Purely digital microscopes are now available which use a CCD camera to examine a sample, showing the resulting image directly on a computer screen without the need for eyepieces.
Purely for hygienic reasons, this quarter was to be surrounded by a wall so that typhus and other Jewish diseases could not spread to other parts of the city.
He also appeared in the film Purely Belter as the abusive father of the main character, delinquent teenager Gerry, and appeared in Coronation Street as the father of barman Sean Tully.
Purely mechanical control has been localised steam or hot-water radiator bi-metallic thermostats which regulated the individual flow.
Purely mechanical thermostats are used to regulate dampers in some rooftop turbine vents, reducing building heat loss in cool or cold periods.
: Purely horizontal thinking is known as daydreaming, fantasy, mysticism.
: Purely vertical thinking is the classic method for problem solving: from the given data step by step working out the solution.
Purely inseparable extensions do occur naturally ; for example, they occur in algebraic geometry over fields of prime characteristic.
* In the movie Purely Belter, Gerry's drug-addicted-sister Bridget is hiding out from her family at The Spanish City funfair in one of the waltzer cars on the Whitley Bay seafront.

functional and functions
* If M is some set and S denotes the set of all functions from M to M, then the operation of functional composition on S is associative:
In C, all executable code is contained within subroutines, which are called " functions " ( although not in the strict sense of functional programming ).
In mathematics and, in particular, functional analysis, convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions, giving the area overlap between the two functions as a function of the amount that one of the original functions is translated.
* A functional equation is an equation in which the unknowns are functions rather than simple quantities.
In computer science, functional programming is a programming paradigm that treats computation as the evaluation of mathematical functions and avoids state and mutable data.
The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc.
Software classified as freeware is licensed at no cost and is either fully functional for an unlimited time ; or has only basic functions enabled with a fully functional version available commercially or as shareware.
* Michael Halliday's systemic functional grammar argues that the explanation of how language works " needed to be grounded in a functional analysis, since language had evolved in the process of carrying out certain critical functions as human beings interacted with their ... ' eco-social ' environment ".
Direction of causal flow is upward. For a multivariate function, functional decomposition generally refers to a process of identifying a set of functions such that
In general, functional decompositions are worthwhile when there is a certain " sparseness " in the dependency structure ; that is, when constituent functions are found to depend on approximately disjoint sets of variables.
Rigorously, to take functions of unbounded operators, a functional calculus is required.
Miller observes that various subsets of the five components can be devised to form cooperative units, ones that have different functions from the mousetrap and so, in biological terms, could form functional spandrels before being adapted to the new function of catching mice.
He argues that the explanation of how language works " needed to be grounded in a functional analysis, since language had evolved in the process of carrying out certain critical functions as human beings interacted with their ... ' eco-social ' environment ".
Halliday's early grammatical descriptions of English, called " Notes on Transitivity and Theme in English – Parts 1 – 3 " include reference to " four components in the grammar of English representing four functions that the language as a communication system is required to carry out: the experiential, the logical, the discoursal and the speech functional or interpersonal ".
Procedures, also known as routines, subroutines, methods, or functions ( not to be confused with mathematical functions, but similar to those used in functional programming ), simply contain a series of computational steps to be carried out.
Enzymes composed of subunits with diverse functions are sometimes called holoenzymes, in which some parts may be known as regulatory subunits and the functional core is known as the catalytic subunit.
* Reduce ( higher-order function ), in functional programming, a family of higher-order functions that process a data structure in some order and build up a return value

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