In the R5RS standard, Scheme implementations are not required to implement the whole numerical tower, but they must implement "a coherent subset consistent with both the purposes of the implementation and the spirit of the Scheme language" (R5RS sec. 6.2.3).[4] The new R6RS standard does require implementation of the whole tower, and "exact integer objects and exact rational number objects of practically unlimited size and precision, and to implement certain procedures...so they always return exact results when given exact arguments" (R6RS sec. 3.4, sec. 11.7.1).[5]

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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 R5RS standard specifies procedures exact->inexact and inexact->exact which can be used to change the exactness of a number. inexact->exact produces "the exact number that is numerically closest to the argument". exact->inexact produces "the inexact number that is numerically closest to the argument". The R6RS standard omits these procedures from the main report, but specifies them as R5RS compatibility procedures in the standard library (rnrs r5rs (6)). 

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See also: agenda, arrangement, artifice, avenue, blueprint, cabal, campaign, circumvent, codification, connivance, connive, conspiracy, conspire, contrivance, contrive, course, design, device, devise, direction, endeavor, enterprise, expedient, forethought, form, formulate, frame, goal, hoax, intend, intent, invent, machination, maneuver, mode, organization, plan, platform, plot, ploy, policy, practice, procedure, process, program, project, proposal, proposition, prospectus, racket, ruse, stratagem, strategy, structure, suggestion, system, trick, undertaking

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Scheme's input and output is based on the port datatype. (R5RS sec 6.6)[4] R5RS defines two default ports, accessible with the procedures current-input-port and current-output-port, which correspond to the Unix notions of standard input and standard output. Most implementations also provide current-error-port. Redirection of input and standard output is supported in the standard, by standard procedures such as with-input-from-file and with-output-to-file. Most implementations provide string ports with similar redirection capabilities, enabling many normal input-output operations to be performed on string buffers instead of files, using procedures described in SRFI 6.[30] The R6RS standard specifies much more sophisticated and capable port procedures and many new types of port. 

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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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Scheme's input and output is based on the port datatype. (R5RS sec 6.6)[4] R5RS defines two default ports, accessible with the procedures current-input-port and current-output-port, which correspond to the Unix notions of standard input and standard output. Most implementations also provide current-error-port. Redirection of input and standard output is supported in the standard, by standard procedures such as with-input-from-file and with-output-to-file. Most implementations provide string ports with similar redirection capabilities, enabling many normal input-output operations to be performed on string buffers instead of files, using procedures described in SRFI 6.[30] The R6RS standard specifies much more sophisticated and capable port procedures and many new types of port. 

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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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Continuations in Scheme are first-class objects. Scheme provides the procedure call-with-current-continuation (also known as call/cc) to capture the current continuation by packing it up as an escape procedure bound to a formal argument in a procedure provided by the programmer. (R5RS sec. 6.4)[4] First-class continuations enable the programmer to create non-local control constructs such as iterators, coroutines, and backtracking.

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Some implementations support additional features. For example, Kawa and JScheme provide integration with Java classes, and the Scheme to C compilers often make it easy to use external libraries written in C, up to allowing the embedding of actual C code in the Scheme source. Another example is Pvts, which offers a set of visual tools for supporting the learning of Scheme. 

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Unexpected popularity can be a nice problem to have. But when you designed a budget to make 100 of something, it’s tricky to suddenly have 10,000 pledges! If you feel like you’ve hit your limit, you can always cap your rewards. You can also stagger release dates — cap the original reward at a number you can handle, then add more with a later delivery date, so you don’t have to do everything at once. Let backers know in advance that the demand might affect your schedule.

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1550s, "figure of speech," from Medieval Latin schema "shape, figure, form, appearance; figure of speech; posture in dancing," from Greek skhema (genitive skhematos) "figure, appearance, the nature of a thing," related to skhein "to get," and ekhein "to have," from PIE root *segh- "to hold, to hold in one's power, to have" (cf. Sanskrit sahate "he masters, overcomes," sahah "power, victory;" Avestan hazah "power, victory;" Greek ekhein "to have, hold;" Gothic sigis, Old High German sigu, Old Norse sigr, Old English sige "victory").
Unexpected popularity can be a nice problem to have. But when you designed a budget to make 100 of something, it’s tricky to suddenly have 10,000 pledges! If you feel like you’ve hit your limit, you can always cap your rewards. You can also stagger release dates — cap the original reward at a number you can handle, then add more with a later delivery date, so you don’t have to do everything at once. Let backers know in advance that the demand might affect your schedule.

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Entrepreneurs with a business concept would want to accumulate all the necessary resources including capital to venture into a market. Funding is part of the process, as some businesses would require large start-up sums that individuals would not have.[5] These start-up funds are essential to kick-start a business idea, without it, entrepreneurs would not have the ability to carry out their concepts in the business world.

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Because of Scheme's minimalism, many common procedures and syntactic forms are not defined by the standard. In order to keep the core language small but facilitate standardization of extensions, the Scheme community has a "Scheme Request for Implementation" (SRFI) process by which extension libraries are defined through careful discussion of extension proposals. This promotes code portability. Many of the SRFIs are supported by all or most Scheme implementations.
Up to the R5RS standard, the standard comment in Scheme was a semicolon, which makes the rest of the line invisible to Scheme. Numerous implementations have supported alternative conventions permitting comments to extend for more than a single line, and the R6RS standard permits two of them: an entire s-expression may be turned into a comment (or "commented out") by preceding it with #; (introduced in SRFI 62[29]) and a multiline comment or "block comment" may be produced by surrounding text with #| and |#.

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^ Jump up to: a b 1178-1990 (Reaff 2008) IEEE Standard for the Scheme Programming Language. IEEE part number STDPD14209, unanimously reaffirmed at a meeting of the IEEE-SA Standards Board Standards Review Committee (RevCom), March 26, 2008 (item 6.3 on minutes), reaffirmation minutes accessed October 2009. NOTE: this document is only available for purchase from IEEE and is not available online at the time of writing (2009).

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In 1998, Sussman and Steele remarked that the minimalism of Scheme was not a conscious design goal, but rather the unintended outcome of the design process. "We were actually trying to build something complicated and discovered, serendipitously, that we had accidentally designed something that met all our goals but was much simpler than we had intended....we realized that the lambda calculus—a small, simple formalism—could serve as the core of a powerful and expressive programming language."[8]

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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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It is used for research, in fields of technology or social science. Research funding can split into commercial and non-commercial. Research and development departments of a corporation normally provide commercial research funding. Whereas, non-commercial research funding is obtained from charities, research councils, or government agencies.[4] Organisations that require such funding normally have to go through competitive selections. Only those that have the most potential would be chosen. Funding is vital in ensuring the sustainability of certain projects. 

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plan, design, plot, scheme, project mean a method devised for making or doing something or achieving an end. plan always implies mental formulation and sometimes graphic representation. plans for a house design often suggests a particular pattern and some degree of achieved order or harmony. a design for a new dress plot implies a laying out in clearly distinguished sections with attention to their relations and proportions. the plot of the play scheme stresses calculation of the end in view and may apply to a plan motivated by craftiness and self-interest. a scheme to defraud the government project often stresses imaginative scope and vision. a project to develop the waterfront

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plan, design, plot, scheme, project mean a method devised for making or doing something or achieving an end. plan always implies mental formulation and sometimes graphic representation. plans for a house design often suggests a particular pattern and some degree of achieved order or harmony. a design for a new dress plot implies a laying out in clearly distinguished sections with attention to their relations and proportions. the plot of the play scheme stresses calculation of the end in view and may apply to a plan motivated by craftiness and self-interest. a scheme to defraud the government project often stresses imaginative scope and vision. a project to develop the waterfront
Unexpected popularity can be a nice problem to have. But when you designed a budget to make 100 of something, it’s tricky to suddenly have 10,000 pledges! If you feel like you’ve hit your limit, you can always cap your rewards. You can also stagger release dates — cap the original reward at a number you can handle, then add more with a later delivery date, so you don’t have to do everything at once. Let backers know in advance that the demand might affect your schedule.

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Government could allocate funds itself or through government agencies to projects that benefit the public through selection process to students or researchers and even organisations. At least two external peer-reviewers and internal research award committee review each application. The research awards committee would meet some time to discuss shortlisted applications. A further shortlist and ranking is made. Projects are funded and applicants are informed.[7]

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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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Most Lisps specify an order of evaluation for procedure arguments. Scheme does not. Order of evaluation—including the order in which the expression in the operator position is evaluated—may be chosen by an implementation on a call-by-call basis, and the only constraint is that "the effect of any concurrent evaluation of the operator and operand expressions is constrained to be consistent with some sequential order of evaluation." (R5RS sec. 4.1.3)[4]

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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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^ Joel Moses (June 1970), The Function of FUNCTION in LISP, or Why the FUNARG Problem Should Be Called the Environment Problem, hdl:1721.1/5854, AI Memo 199, A useful metaphor for the difference between FUNCTION and QUOTE in LISP is to think of QUOTE as a porous or an open covering of the function since free variables escape to the current environment. FUNCTION acts as a closed or nonporous covering (hence the term "closure" used by Landin). Thus we talk of "open" Lambda expressions (functions in LISP are usually Lambda expressions) and "closed" Lambda expressions. [...] My interest in the environment problem began while Landin, who had a deep understanding of the problem, visited MIT during 1966-67. I then realized the correspondence between the FUNARG lists which are the results of the evaluation of "closed" Lambda expressions in LISP and ISWIM's Lambda Closures.

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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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Scheme is widely used by a number[37] of schools; in particular, a number of introductory Computer Science courses use Scheme in conjunction with the textbook Structure and Interpretation of Computer Programs (SICP).[38] For the past 12 years, PLT has run the ProgramByDesign (formerly TeachScheme!) project, which has exposed close to 600 high school teachers and thousands of high school students to rudimentary Scheme programming. MIT's old introductory programming class 6.001 was taught in Scheme,[39] Although 6.001 has been replaced by more modern courses, SICP continues to be taught at MIT.[40] The textbook How to Design Programs by Matthias Felleisen, currently at Northeastern University, is used by some institutes of higher education for their introductory computer science courses. Both Northeastern University and Worcester Polytechnic Institute use Scheme exclusively for their introductory courses Fundamentals of Computer Science (CS2500) and Introduction to Program Design (CS1101), respectively.[41][42] Rose-Hulman uses Scheme in its more advanced Programming Language Concepts course.[43] Indiana University's introductory class, C211, is taught entirely in Scheme. The introductory class at UC Berkeley, CS 61A, was until 2015 taught entirely in Scheme, save minor diversions into Logo to demonstrate dynamic scope; all course materials, including lecture webcasts, are available online free of charge.[44] A self-paced version of the course, CS 61AS, continues to use Scheme.[45] The introductory computer science courses at Yale and Grinnell College are also taught in Scheme.[46] Programming Design Paradigms,[47] a mandatory course for the Computer science Graduate Students at Northeastern University, also extensively uses Scheme. The introductory Computer Science course at the University of Minnesota - Twin Cities, CSCI 1901, also uses Scheme as its primary language, followed by a course that introduces students to the Java programming language.[48] In the software industry, Tata Consultancy Services, Asia's largest software consultancy firm, uses Scheme in their month-long training program for fresh college graduates.[citation needed]

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^ Jump up to: a b 1178-1990 (Reaff 2008) IEEE Standard for the Scheme Programming Language. IEEE part number STDPD14209, unanimously reaffirmed at a meeting of the IEEE-SA Standards Board Standards Review Committee (RevCom), March 26, 2008 (item 6.3 on minutes), reaffirmation minutes accessed October 2009. NOTE: this document is only available for purchase from IEEE and is not available online at the time of writing (2009).

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Government could allocate funds itself or through government agencies to projects that benefit the public through selection process to students or researchers and even organisations. At least two external peer-reviewers and internal research award committee review each application. The research awards committee would meet some time to discuss shortlisted applications. A further shortlist and ranking is made. Projects are funded and applicants are informed.[7]

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