Scheme has an iteration construct, do, but it is more idiomatic in Scheme to use tail recursion to express iteration. Standard-conforming Scheme implementations are required to optimize tail calls so as to support an unbounded number of active tail calls (R5RS sec. 3.5)[4]—a property the Scheme report describes as proper tail recursion—making it safe for Scheme programmers to write iterative algorithms using recursive structures, which are sometimes more intuitive. Tail recursive procedures and the named let form provide support for iteration using tail recursion.

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Scheme was created during the 1970s at the MIT AI Lab and released by its developers, Guy L. Steele and Gerald Jay Sussman, via a series of memos now known as the Lambda Papers. It was the first dialect of Lisp to choose lexical scope and the first to require implementations to perform tail-call optimization, giving stronger support for functional programming and associated techniques such as recursive algorithms. It was also one of the first programming languages to support first-class continuations. It had a significant influence on the effort that led to the development of Common Lisp.[2]

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These meditations were entirely employed on Mr Allworthy's fortune; for, first, he exercised much thought in calculating, as well as he could, the exact value of the whole: which calculations he often saw occasion to alter in his own favour: and, secondly and chiefly, he pleased himself with intended alterations in the house and gardens, and in projecting many other schemes, as well for the improvement of the estate as of the grandeur of the place: for this purpose he applied himself to the studies of architecture and gardening, and read over many books on both these subjects; for these sciences, indeed, employed his whole time, and formed his only amusement.

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All due respect, but in the grand scheme of things, who the hell is Morgan Sanson!?!??!? — SI.com, "Transfer Rumours: Kean to Dortmund, Tottenham's Trippier Replacement, 3 Rafael Leao Bids & More," 18 July 2019 These are small numbers in the grand scheme of things. — Jeffrey Kluger, Time, "Elon Musk Told Us Why He Thinks We Can Land on the Moon in ‘Less Than 2 Years’," 18 July 2019 In the grand scheme of NCAA basketball, Gottfried had turned into a pretty small fish. — Joseph Goodman | Jgoodman@al.com, al.com, "Basketball corruption could upstage SEC Media Days," 14 July 2019 In the larger scheme of things, unionized media workers are starting to see the world and themselves in a new light. — Clio Chang, The New Republic, "How to Save Journalism," 11 July 2019 In the grand scheme of things, respected players should be at the forefront of every conversation. — Julian Mcwilliams, BostonGlobe.com, "Mookie Betts is example of baseball’s brand-new problem," 10 July 2019 And winning 13-nil, in the grand scheme of things, can be counterproductive to the growth of the sport. — San Diego Union-Tribune, "Column: For U.S. women’s soccer team, problem is less the 13 goals than the 13 celebrations," 12 June 2019 Here’s the thing: In the grand scheme of the 2020 campaign, these transgressions by Biden are pretty minor. — NBC News, "Democratic rivals pile on Biden," 6 June 2019 In the grander scheme of Johnson Artur’s archive however, the show barely scratches the surface. — Vogue, "Photographer Liz Johnson Artur Explores the Ties That Bind the African Diaspora," 17 May 2019

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The Scheme language is standardized in the official IEEE standard[3] and a de facto standard called the Revisedn Report on the Algorithmic Language Scheme (RnRS). The most widely implemented standard is R5RS (1998);[4] a new standard, R6RS,[5] was ratified in 2007.[6] Scheme has a diverse user base due to its compactness and elegance, but its minimalist philosophy has also caused wide divergence between practical implementations, so much that the Scheme Steering Committee calls it "the world's most unportable programming language" and "a family of dialects" rather than a single language.[7]

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R6RS introduces numerous significant changes to the language.[12] The source code is now specified in Unicode, and a large subset of Unicode characters may now appear in Scheme symbols and identifiers, and there are other minor changes to the lexical rules. Character data is also now specified in Unicode. Many standard procedures have been moved to the new standard libraries, which themselves form a large expansion of the standard, containing procedures and syntactic forms that were formerly not part of the standard. A new module system has been introduced, and systems for exception handling are now standardized. Syntax-rules has been replaced with a more expressive syntactic abstraction facility (syntax-case) which allows the use of all of Scheme at macro expansion time. Compliant implementations are now required to support Scheme's full numeric tower, and the semantics of numbers have been expanded, mainly in the direction of support for the IEEE 754 standard for floating point numerical representation.

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Scheme is primarily a functional programming language. It shares many characteristics with other members of the Lisp programming language family. Scheme's very simple syntax is based on s-expressions, parenthesized lists in which a prefix operator is followed by its arguments. Scheme programs thus consist of sequences of nested lists. Lists are also the main data structure in Scheme, leading to a close equivalence between source code and data formats (homoiconicity). Scheme programs can easily create and evaluate pieces of Scheme code dynamically.

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The R6RS standard has caused controversy because it is seen to have departed from the minimalist philosophy.[13][14] In August 2009, the Scheme Steering Committee, which oversees the standardization process, announced its intention to recommend splitting Scheme into two languages: a large modern programming language for programmers; and a small version, a subset of the large version retaining the minimalism praised by educators and casual implementors.[7] Two working groups were created to work on these two new versions of Scheme. The Scheme Reports Process site has links to the working groups' charters, public discussions and issue tracking system.

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