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- ...s, and the identity arrow itself, make the diagram commute. Therefore, the composition has to be the identity. QED.11 KB (2,014 words) - 06:07, 22 October 2009
- ...ble for reasoning about the definitions of programs e.g. verifying Kleisli-composition: ...<i>Kleisli-composition</i> style:13 KB (2,108 words) - 12:52, 1 January 2024
- The sequential composition, expressed by the operator composition (I am tempted to write "played one after the other", but14 KB (2,261 words) - 19:12, 11 August 2008
- * [http://www.cse.unsw.edu.au/~dons/data/Music.html Music.hs], a music composition system (literate latex-style Haskell) ([http://darcs.haskell.org/haskore/sr6 KB (921 words) - 11:17, 22 October 2022
- ====Composition combinators==== ...>) appear second (''b'') at the right of the first (''a''). Result of such composition is also a widget, and it may be sequenced with other widgets. <code>(a +++24 KB (3,619 words) - 14:49, 7 March 2012
- ...rking, but raises new questions: what about generalizing operations (here: composition) to deal with zero-arity cases in an appropriate way? ==== Composition ====13 KB (2,068 words) - 23:19, 3 June 2019
- ...y to follow and provides a nice illustration of the usefulness of function composition in expressing algorithms in Haskell. The above program uses function composition to express an algorithm as a pipeline made up of three kinds of function: f11 KB (1,782 words) - 21:39, 21 February 2010
- ...use the list type <code>[]</code> is monadic)! <code>(>>>)</code> performs composition, keeping track of all the multiple results. <code>split</code>, <code>(&&&) is a multi-valued composition <code>(g . f)</code>, and8 KB (1,315 words) - 00:43, 16 May 2024
- ...n-existing file. I'd like to describe the behaviour of 'load' via function composition instead of mutable flags. Moreover, I'd like to remove the targets, module3 KB (404 words) - 23:03, 11 July 2021
- * Dynamic plugin composition5 KB (687 words) - 22:37, 16 February 2013
- ;Functors preserve composition of morphisms3 KB (603 words) - 22:50, 8 November 2021
- ...s in a category, and equational laws are promoted to being equations about composition of morphisms. * The tensor product is composition: <math>F \otimes G = F \circ G</math>13 KB (2,245 words) - 15:18, 6 February 2021
- It illustrates the use of [[ShowS]]-style function composition as an alternative to recursive list concatenation - the latter is inefficie3 KB (427 words) - 01:33, 28 December 2013
- * [http://fprog.ru/2010/issue4/denis-moskvin-compositions-sections/ ''Composition Sections as a Tool of Pointfree Style''] by Denis Moskvin7 KB (918 words) - 11:33, 4 April 2012
- Kleisli composition forms<br>4 KB (621 words) - 05:56, 26 April 2021
- It is, thus the composition of the uniquely existing morphism from a coalgebra to the final coalgebra f The ''metamorphism'' is the ''other'' composition of an anamorphism with a catamorphism. It takes some structure, deconstruct14 KB (2,489 words) - 18:40, 17 November 2009
- Using "<hask>g `O` f</hask>" for the ''composition'' of type constructors <hask>g</hask> and <hask>f</hask>, the representatio3 KB (486 words) - 21:52, 29 June 2021
- ...ried and uncurried style allows [[Composing functions with multiple values|composition of functions with multiple values]]4 KB (669 words) - 02:17, 3 November 2023
- The composition of these yields a monad <math>T</math> in <math>Set</math> taking a set <ma ...''operad'' is a graded set <math>O = \bigoplus_i O_i</math> equipped with composition operations <math>\circ_i: O_n\oplus O_m\to O_{n+m-1}</math> that obey certa16 KB (2,852 words) - 15:45, 22 November 2009
- :''elaborate:'' what does this function do? Is the period for function composition? ...language allows for unparallelled levels of abstraction through functional composition and higher-order functions. Where in most imperative languages a "function15 KB (2,547 words) - 21:58, 29 October 2011
- ...terms with morphisms that have equality built in, and provides associative composition ''for free''. ...fically, since the morphisms of cones are morphisms in <math>C</math>, and composition is carried straight over, so proving a map is an isomorphism in the cone ca18 KB (3,328 words) - 06:32, 28 October 2009
- .../hask> value by <hask>xLens</hask> from the state. The editor would be the composition of the following simpler editors:9 KB (1,506 words) - 18:10, 8 June 2013
- ===On composition=== This nice code reuse via composition is achieved using the <code>(.)</code> function,19 KB (3,139 words) - 04:08, 22 October 2021
- using the function composition operator <hask>.</hask>.9 KB (1,413 words) - 20:10, 11 January 2013
- .../games-strategies-and-self-composition.html Games, Strategies and the Self-Composition of the List Monad.]9 KB (903 words) - 07:20, 16 April 2020
- parallel composition <b>par</b>, and sequential composition <b>seq</b>. With11 KB (1,692 words) - 16:37, 28 January 2023
- ...messages, so <hask>it0</hask> and <hask>it1</hask> work in parallel. Their composition is denoted <hask>it1 . it0</hask>. If <hask>it0</hask> finishes, it is resu6 KB (927 words) - 12:02, 19 April 2024
- ...y morphism for object <hask>A</hask> is <hask>id :: A -> A</hask>, and the composition of morphisms <hask>f</hask> and <hask>g</hask> is <hask>f . g = \x -> f (g7 KB (1,086 words) - 10:33, 9 March 2023
- ...k>mapAccumL</hask> like functions. Many important operations like function composition maintain the causality property. They are important in feedback loops where7 KB (1,030 words) - 19:38, 15 May 2012
- composition, and this is no coincidence. The reason that bind is so important what composition does.18 KB (3,270 words) - 05:36, 9 March 2021
- ...lower and upper limit, print a list of all even numbers and their Goldbach composition.6 KB (805 words) - 02:30, 11 June 2023
- * [32]Games, Strategies and the Self-Composition of the List Monad 32. http://sigfpe.blogspot.com/2006/10/games-strategies-and-self-composition.html8 KB (1,191 words) - 01:56, 21 October 2006
- (Hint: function application binds more tightly than any operator; function composition has very low precedence.) ===to concatenate `ShowS` values, use function composition===31 KB (5,175 words) - 04:59, 9 March 2011
- ::The dot <hask>f . g</hask> is good old function composition <math>f \circ g</math>. First apply g, then apply f. Simple example: squari6 KB (1,024 words) - 23:56, 25 June 2021
- ...rs for building more complex functions from simpler ones. Of course filter composition, like <hask>(.)</hask>, becomes one of the most frequently used combinators ...we can read composition sequences from left to right, like pipes in Unix. Composition is defined as follows:<p></p>48 KB (6,937 words) - 00:20, 27 April 2016
- Things get interesting when polymorphism comes in. The composition operator in Haskell proves a very simple theorem.8 KB (1,303 words) - 15:42, 18 November 2019
- ...way to sample the value when changed. Here <hask>g `O` h</hask> means the composition of two type constructors, and is defined in [[TypeCompose]]. Without the f13 KB (2,149 words) - 10:44, 17 July 2011
- function <math>\circ</math> called composition, such that <math>g9 KB (1,379 words) - 04:11, 14 February 2023
- various arguments. The return result does behave like a `composition' The type "(b -> c) -> (a -> b) -> a -> c" (of the composition function)20 KB (3,458 words) - 15:19, 6 February 2021
- approach the order of composition needs not to be fixed by the throwing10 KB (1,404 words) - 06:22, 22 January 2020
- -- The LAMBDA is similar to the composition function (.), only with ...makes a good obfuscator), something may be seen in the Javascript for the composition function. It builds an application of its first argument to the third, and28 KB (4,378 words) - 13:10, 8 April 2007
- * [39]Query Composition using Functional Programming Techniques in C# 3.011 KB (1,674 words) - 08:26, 2 November 2007
- ...emented as a very simple layer on top of the monadic interface, using type composition (from [[TypeCompose]]):15 KB (2,333 words) - 14:34, 3 April 2012
- ...lfills the requisite condition, nothing larger will do, since then the map composition wouldn't be 0, and nothing smaller will do, since then the maps factoring t17 KB (3,008 words) - 19:19, 3 November 2009
- To recombine the functionality, we will use ordinary function composition <code>(.)</code> and the fix point operator <code>fix</code> (cf. <code>Dat12 KB (1,702 words) - 16:05, 28 April 2014
- ;[http://wwwtcs.inf.tu-dresden.de/~voigt/JFP-main.pdf Composition of functions with accumulating parameters] ([http://wwwtcs.inf.tu-dresden.d ...-dresden.de/~voigt/TOCS.pdf Formal Efficiency Analysis for Tree Transducer Composition]19 KB (2,599 words) - 00:14, 15 June 2023
- ...nads are a generalization of functions, function application, and function composition to allow them to deal with richer notions of computation than standard func ...a monoid in the category of endofunctors of X, with product × replaced by composition of endofunctors and unit set by the identity endofunctor."35 KB (4,953 words) - 00:05, 9 May 2024
- The period is a function composition operator. In general terms, where f and g are functions, (f . g) x means th19 KB (3,237 words) - 01:33, 10 May 2008
- where the period (.) is an operator denoting [[function composition]].12 KB (1,923 words) - 18:51, 28 March 2019
- ...e> will need to change xmonad.hs: their types have changed to allow easier composition with other XConfig modifiers. The dynamicLogDzen and dynamicLogXmobar funct ...> and <hask>xmobar</hask> quick bar functions have changed type for easier composition with other XConfig modifiers. <hask>dynamicLogDzen</hask> and <hask>dynami21 KB (3,078 words) - 08:18, 23 May 2021