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In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, ... MIT Press. ISBN ...
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 ...
Recursive drawing of a Sierpiński Triangle through turtle graphics. In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. [1] [2] Recursion solves such recursive problems by using functions that call themselves from within their own code ...
The first step in the recursion yields Shannon's definition (;) = (). The multivariate mutual information (same as interaction information but for a change in sign) of three or more random variables can be negative as well as positive: Let X and Y be two independent fair coin flips, and let Z be their exclusive or .
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.
Mutual recursion and non-trivial cycles are not resolvable by the gprof approach (context-insensitive call graph), because it only records arc traversal, not full call chains. [ 13 ] [ 14 ] [ 15 ] Gprof with call-graph collecting can be used only with compatible compilers, like GCC, clang/LLVM and some other.
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