recursive limit
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Limit ordinal — A limit ordinal is an ordinal number which is neither zero nor a successor ordinal. Various equivalent ways to express this are: *It cannot be reached via the ordinal successor operation S ; in precise terms, we say lambda; is a limit ordinal if… … Wikipedia
Super-recursive algorithm — In computer science and computability theory, super recursive algorithms are algorithms that are more powerful, that is, compute more, than Turing machines. The term was introduced by Mark Burgin, whose book Super recursive algorithms develops… … Wikipedia
Limiting recursive — In computability theory, the term limiting recursive (also limit recursive or limit computable) describes sets that are the limit of a sequence of computable sets. Definition A set S is limiting recursive if there is a total computable function g … Wikipedia
Language identification in the limit — is a formal model for inductive inference. It was introduced by E. Mark Gold in his paper with the same title [http://www.isrl.uiuc.edu/ amag/langev/paper/gold67limit.html] . In this model, a learner is provided with presentation of some language … Wikipedia
Computation in the limit — In computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in the limit and limit recursive are also used. One can think of limit computable functions as … Wikipedia
Large countable ordinal — In the mathematical discipline of set theory, there are many ways of describing specific countable ordinals. The smallest ones can be usefully and non circularly expressed in terms of their Cantor normal forms. Beyond that, many ordinals of… … Wikipedia
Recursion theory — Recursion theory, also called computability theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown to include the study of generalized computability… … Wikipedia
Computability theory — For the concept of computability, see Computability. Computability theory, also called recursion theory, is a branch of mathematical logic that originated in the 1930s with the study of computable functions and Turing degrees. The field has grown … Wikipedia
mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… … Universalium
Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… … Wikipedia
Scale space implementation — Scale space Scale space axioms Scale space implementation Feature detection Edge detection Blob detection Corner detection … Wikipedia
