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Everything about Algorithmically random sequence
Binary sequence
Intuitively, an algorithmically random sequence is a sequence of binary digits that appears random to any algorithm running on a universal Turing machine. The notion can be applied analogously to sequences on any finite alphabet. Random sequences are key objects of study in algorithmic information theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Algorithmically random sequenceA 5-minute orientation
- Skim a recent paper: Image Encryption Algorithm based on Pseudo-random SequenceInfluential work since 2022
- Pick up a classic book: C How to ProgramThe most-reprinted book on the subject
- Read the landmark paper: An improved zero-one law for algorithmically random sequencesCited 3 times
- Go sideways: K-trivial setA closely related topic
- Go sideways: Random sequenceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
🆕 Influential since 2022
📚 Books worth reading
C How to ProgramPaul J. Deitel, Harvey M. Deitel · 2007
Discrete Mathematics and Its ApplicationsKenneth H. Rosen · 1988
Discrete mathematicsKenneth A. Ross · 1985
Mathematical PuzzlesPeter Winkler · 2003
Probability, random processes, and statistical analysisHisashi Kobayashi · 2011
Theory and Practice of ComputationShin-ya Nishizaki · 2013
Parallel Programming in C with MPI and OpenMPMichael J. Quinn · 2003
Computer algorithmsEllis Horowitz · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Chaitin's constant In the computer science subfield of algorithmic information theory, a Chaitin constant, Chaitin omega number, or halting probability is a real number that…
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- Resource-bounded measure Lutz's resource-bounded measure is a generalisation of Lebesgue measure to complexity classes. It was originally developed by Jack Lutz. Just as Lebesgue…
- Algorithmic probability In algorithmic information theory, algorithmic probability, also known as Solomonoff probability, is a mathematical method of assigning a prior probability…
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