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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