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Mutual recursion is very common in functional programming, and is often used for programs written in LISP, Scheme, ML, and similar programming languages. For example, Abelson and Sussman describe how a meta-circular evaluator can be used to implement LISP with an eval-apply cycle. [7] In languages such as Prolog, mutual recursion is almost ...
In computability theory, Bekić's theorem or Bekić's lemma is a theorem about fixed-points which allows splitting a mutual recursion into recursions on one variable at a time. [1] [2] [3] It was created by Austrian Hans Bekić (1936-1982) in 1969, [4] and published posthumously in a book by Cliff Jones in 1984. [5] The theorem is set up as ...
Course-of-values recursion defines primitive recursive functions. Some forms of mutual recursion also define primitive recursive functions. The functions that can be programmed in the LOOP programming language are exactly the primitive recursive functions. This gives a different characterization of the power of these functions.
In computer science, corecursion is a type of operation that is dual to recursion.Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case.
MIT OpenCourseWare is supported by MIT, corporate underwriting, major gifts, and donations from site visitors. [2] The initiative inspired a number of other institutions to make their course materials available as open educational resources. [3] As of May 2018, over 2,400 courses were available online.
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SOURCE: Integrated Postsecondary Education Data System, SUNY at Albany (2014, 2013, 2012, 2011, 2010). Read our methodology here. HuffPost and The Chronicle examined 201 public D-I schools from 2010-2014. Schools are ranked based on the percentage of their athletic budget that comes from subsidies. Income sources are adjusted for inflation.
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