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- Algorithmically_random_sequence abstract "Intuitively, an algorithmically random sequence (or random sequence) is an infinite sequence of binary digits that appears random to any algorithm. The notion can be applied analogously to sequences on any finite alphabet (e.g. decimal digits). Random sequences are key objects of study in algorithmic information theory.As different types of algorithms are sometimes considered, ranging from algorithms with specific bounds on their running time to algorithms which may ask questions of an oracle, there are different notions of randomness. The most common of these is known as Martin-Löf randomness (or 1-randomness), but stronger and weaker forms of randomness also exist. The term "random" used to refer to a sequence without clarification is usually taken to mean "Martin-Löf random" (defined below).Because infinite sequences of binary digits can be identified with real numbers in the unit interval, random binary sequences are often called random real numbers. Additionally, infinite binary sequences correspond to characteristic functions of sets of natural numbers; therefore those sequences might be seen as sets of natural numbers.The class of all Martin-Löf random (binary) sequences is denoted by RAND or MLR.".
- Algorithmically_random_sequence wikiPageExternalLink bullSep12.ps.
- Algorithmically_random_sequence wikiPageExternalLink kolmogorov.html.
- Algorithmically_random_sequence wikiPageExternalLink Martin-Lof.pdf.
- Algorithmically_random_sequence wikiPageExternalLink Gacs-every-seq.pdf.
- Algorithmically_random_sequence wikiPageExternalLink pdf?md5=3eca6879439bdbff79e2f71e95a33404&pid=1-s2.0-S0022000073800303-main.pdf.
- Algorithmically_random_sequence wikiPageID "4257548".
- Algorithmically_random_sequence wikiPageLength "19952".
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- Algorithmically_random_sequence wikiPageRevisionID "679087847".
- Algorithmically_random_sequence wikiPageWikiLink Algorithmic_information_theory.
- Algorithmically_random_sequence wikiPageWikiLink Arithmetical_hierarchy.
- Algorithmically_random_sequence wikiPageWikiLink Betting.
- Algorithmically_random_sequence wikiPageWikiLink Cantor_space.
- Algorithmically_random_sequence wikiPageWikiLink Category:Randomness.
- Algorithmically_random_sequence wikiPageWikiLink Chaitins_constant.
- Algorithmically_random_sequence wikiPageWikiLink Church–Turing_thesis.
- Algorithmically_random_sequence wikiPageWikiLink Claus-Peter_Schnorr.
- Algorithmically_random_sequence wikiPageWikiLink Claus_P._Schnorr.
- Algorithmically_random_sequence wikiPageWikiLink Complement_(set_theory).
- Algorithmically_random_sequence wikiPageWikiLink Computability.
- Algorithmically_random_sequence wikiPageWikiLink Computable.
- Algorithmically_random_sequence wikiPageWikiLink Computably_enumerable.
- Algorithmically_random_sequence wikiPageWikiLink Concatenation.
- Algorithmically_random_sequence wikiPageWikiLink Countable.
- Algorithmically_random_sequence wikiPageWikiLink Countable_set.
- Algorithmically_random_sequence wikiPageWikiLink Data_compression.
- Algorithmically_random_sequence wikiPageWikiLink Decidability_(logic).
- Algorithmically_random_sequence wikiPageWikiLink G-delta_set.
- Algorithmically_random_sequence wikiPageWikiLink Gambling.
- Algorithmically_random_sequence wikiPageWikiLink Gregory_Chaitin.
- Algorithmically_random_sequence wikiPageWikiLink Gδ_set.
- Algorithmically_random_sequence wikiPageWikiLink Halting_problem.
- Algorithmically_random_sequence wikiPageWikiLink K-trivial_set.
- Algorithmically_random_sequence wikiPageWikiLink Kolmogorov_complexity.
- Algorithmically_random_sequence wikiPageWikiLink Lebesgue_measure.
- Algorithmically_random_sequence wikiPageWikiLink Leonid_Levin.
- Algorithmically_random_sequence wikiPageWikiLink Martingale_(probability_theory).
- Algorithmically_random_sequence wikiPageWikiLink Measure_(mathematics).
- Algorithmically_random_sequence wikiPageWikiLink Michiel_van_Lambalgen.
- Algorithmically_random_sequence wikiPageWikiLink Monte_Carlo_method.
- Algorithmically_random_sequence wikiPageWikiLink Normal_number.
- Algorithmically_random_sequence wikiPageWikiLink Oracle_machine.
- Algorithmically_random_sequence wikiPageWikiLink Per_Martin-Löf.
- Algorithmically_random_sequence wikiPageWikiLink Prefix_(computer_science).
- Algorithmically_random_sequence wikiPageWikiLink Probability.
- Algorithmically_random_sequence wikiPageWikiLink Probability_theory.
- Algorithmically_random_sequence wikiPageWikiLink Péter_Gács.
- Algorithmically_random_sequence wikiPageWikiLink Random_sequence.
- Algorithmically_random_sequence wikiPageWikiLink Randomness_test.
- Algorithmically_random_sequence wikiPageWikiLink Randomness_tests.
- Algorithmically_random_sequence wikiPageWikiLink Recursively_enumerable.
- Algorithmically_random_sequence wikiPageWikiLink Recursively_enumerable_set.
- Algorithmically_random_sequence wikiPageWikiLink Richard_von_Mises.
- Algorithmically_random_sequence wikiPageWikiLink Sequence.
- Algorithmically_random_sequence wikiPageWikiLink Stochastic.
- Algorithmically_random_sequence wikiPageWikiLink Stochastics.
- Algorithmically_random_sequence wikiPageWikiLink Substring.
- Algorithmically_random_sequence wikiPageWikiLink Theory_of_computation.
- Algorithmically_random_sequence wikiPageWikiLink Turing_degree.
- Algorithmically_random_sequence wikiPageWikiLink Turing_reducible.
- Algorithmically_random_sequence wikiPageWikiLink Turing_reduction.
- Algorithmically_random_sequence wikiPageWikiLink Universality_probability.
- Algorithmically_random_sequence wikiPageWikiLinkText "Algorithmically random sequence".
- Algorithmically_random_sequence wikiPageWikiLinkText "Martin-Löf random".
- Algorithmically_random_sequence wikiPageWikiLinkText "algorithmic randomness".
- Algorithmically_random_sequence wikiPageWikiLinkText "algorithmically random sequence".
- Algorithmically_random_sequence wikiPageWikiLinkText "algorithmically random sets".
- Algorithmically_random_sequence wikiPageWikiLinkText "algorithmically random".
- Algorithmically_random_sequence wikiPageWikiLinkText "random infinite sequence".
- Algorithmically_random_sequence wikiPageWikiLinkText "random numbers".
- Algorithmically_random_sequence wikiPageWikiLinkText "random sequence".
- Algorithmically_random_sequence wikiPageWikiLinkText "randomized".
- Algorithmically_random_sequence hasPhotoCollection Algorithmically_random_sequence.
- Algorithmically_random_sequence wikiPageUsesTemplate Template:Cite_book.
- Algorithmically_random_sequence wikiPageUsesTemplate Template:Cite_conference.
- Algorithmically_random_sequence wikiPageUsesTemplate Template:Cite_journal.
- Algorithmically_random_sequence wikiPageUsesTemplate Template:Reflist.
- Algorithmically_random_sequence subject Category:Randomness.
- Algorithmically_random_sequence hypernym Sequence.
- Algorithmically_random_sequence comment "Intuitively, an algorithmically random sequence (or random sequence) is an infinite sequence of binary digits that appears random to any algorithm. The notion can be applied analogously to sequences on any finite alphabet (e.g. decimal digits).".
- Algorithmically_random_sequence label "Algorithmically random sequence".
- Algorithmically_random_sequence sameAs Secuencia_algorítmicamente_aleatoria.
- Algorithmically_random_sequence sameAs アルゴリズム的ランダムな無限列.
- Algorithmically_random_sequence sameAs Sequência_algoritmicamente_aleatória.
- Algorithmically_random_sequence sameAs m.0bsr3d.
- Algorithmically_random_sequence sameAs Q612552.
- Algorithmically_random_sequence sameAs Q612552.
- Algorithmically_random_sequence wasDerivedFrom Algorithmically_random_sequence?oldid=679087847.
- Algorithmically_random_sequence isPrimaryTopicOf Algorithmically_random_sequence.