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In mathematics and computer science, apply is a function that applies a function to arguments. It is central to programming languages derived from lambda calculus, such as LISP and Scheme, and also in functional languages. It has a role in the study of the denotational semantics of computer programs, because it is a continuous function on complete partial orders. Apply is also a continuous function in homotopy theory, and, indeed underpins the entire theory: it allows a homotopy deformation to be viewed as a continuous path in the space of functions. Likewise, valid mutations (refactorings) of computer programs can be seen as those that are "continuous" in the Scott topology.

The most general setting for apply is in category theory, where it is right adjoint to currying in closed monoidal categories. A special case of this are the Cartesian closed categories, whose internal language is simply typed lambda calculus.

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Apply

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Look up apply in Wiktionary, the free dictionary. In mathematics and computer science, apply is a function that applies a function to arguments. It is...

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ApplyBoard

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ApplyBoard is a Canadian educational technology company founded in 2015 in Waterloo, Ontario, Canada. It offers an "artificial intelligence-enabled recruitment...

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Humans Need Not Apply

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Humans Need Not Apply is a 2014 internet video directed, produced, written, and edited by CGP Grey. It focuses on the future of the integration of automation...

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Terms and Conditions May Apply

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Terms and Conditions May Apply is a 2013 documentary film that addresses how corporations and the government utilize the information that users provide...

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HeadOn

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result of a viral 2006 commercial consisting only of the tagline "HeadOn: Apply directly to the forehead" repeated three times. A previous commercial claimed...

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Kalyanam Conditions Apply

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Kalyanam Conditions Apply (transl. Marriage conditions apply) is a 2017 Indian Tamil-language romantic comedy web series starring Senthil Kumar, Sreeja...

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Apply 300

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The Apply 300 was a Brazilian clone of the Sinclair ZX81 introduced by CDSE - Centro de Desenvolvimento de Sistemas Elétricos Ltda. It came out in 1983...

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Cassidy discography

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Mixtape by Cassidy Hosted by Big Mike". Datpiff.com. Retrieved 16 May 2022. "Apply Pressure (Raw & Uncut) Mixtape by Cassidy Hosted by Dj Thoro, Big Mike"...

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Apply Pressure

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Apply Pressure is the fifth album from R-Swift. Rhyme Council Music Group alongside Central South Records released the project on June 25, 2013. Signaling...

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Partial application

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partially applies a function to its first argument. Alternatively, since Java 8, lambdas can be used: public static <A, B, R> Function<B, R> partialApply(BiFunction<A...

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Ume Aoki

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She illustrates under the pennames apricot+ for many of her dōjinshi, and Apply Fujimiya (藤宮 アプリ, Fujimiya Apuri) for the visual novel Sanarara. Aoki provided...

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Copyright

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without requiring publication or registration. State law continues to apply to unpublished works that are not otherwise copyrighted by federal law....

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Apply Some Pressure

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"Apply Some Pressure" is a song by the English indie rock band Maxïmo Park. It was released as the second single from their first studio album, A Certain...

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Warren Beatty

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(1981), Dick Tracy (1990), Bugsy (1991), Bulworth (1998), and Rules Don't Apply (2016), all of which he also produced. Beatty received a Tony Award nomination...

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Central European Summer Time

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part of Yugoslavia Spain, since 1974 (except Canary Islands, which instead apply Western European Summer Time) Sweden, since 1980 Switzerland, since 1981...

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Dave Gorman

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Conditions Apply – TVrecordings". Archived from the original on 29 August 2019. Retrieved 29 August 2019. "Dave Gorman: Terms and Conditions Apply TV Show...

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EFL League One

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May 2012. Vittles, Jack (6 December 2017). "Financial Fair play: Does it apply in League One and League Two?". Bristol Live. Retrieved 28 May 2020. McCartney...

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Polytechnic University of the Philippines College Entrance Test

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based in College Evaluation of PUP or CAEPUP that evaluated through their iApply website. Individuals that are considered eligible for the PUPCET should...

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National Register of Historic Places

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with corresponding "exceptions to the exclusions", which are supposed to apply more narrowly.: 52  A listing on the National Register of Historic Places...

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Free content

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freedom to: use the content and benefit from using it, study the content and apply what is learned, make and distribute copies of the content, change and improve...

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Trademark

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trademark registration that will automatically apply around the world. Like any national law, trademark laws apply only in their applicable country or jurisdiction...

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Map

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pixels really separate, but overlapping instead (this does not apply for an LCD, but may apply for a cathode ray tube), then replacing a pixel by a rectangle...

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Software engineering

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approach to software development. A practitioner, a software engineer, applies the engineering design process to develop software. The terms programmer...

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