• Intuitively, an algorithmically random sequence (or random sequence) is a sequence of binary digits that appears random to any algorithm running on a (prefix-free...
    33 KB (4,904 words) - 17:35, 14 July 2025
  • Thumbnail for Random number
    needed] Algorithmically random sequence Quasi-random sequence Random number generation Random sequence Random variable Random variate Random real Richard...
    4 KB (386 words) - 05:32, 2 July 2025
  • Chaitin's constant (category Algorithmic information theory)
    enumerated. A real number is random if the binary sequence representing the real number is an algorithmically random sequence. Calude, Hertling, Khoussainov...
    18 KB (2,319 words) - 08:25, 6 July 2025
  • values of a low-discrepancy sequence are neither random nor pseudorandom, but such sequences share some properties of random variables and in certain applications...
    26 KB (4,265 words) - 04:46, 14 June 2025
  • concept of a random sequence is essential in probability theory and statistics. The concept generally relies on the notion of a sequence of random variables...
    9 KB (1,191 words) - 00:02, 21 August 2024
  • random bit generator (DRBG), is an algorithm for generating a sequence of numbers whose properties approximate the properties of sequences of random numbers...
    28 KB (3,559 words) - 14:58, 27 June 2025
  • determined, many properties of Ω are known; for example, it is an algorithmically random sequence and thus its binary digits are evenly distributed (in fact...
    24 KB (2,789 words) - 16:41, 24 July 2025
  • Thumbnail for Random number generation
    Random number generation is a process by which, often by means of a random number generator (RNG), a sequence of numbers or symbols is generated that...
    36 KB (4,424 words) - 00:46, 16 July 2025
  • optimization algorithm Odds algorithm (Bruss algorithm): Finds the optimal strategy to predict a last specific event in a random sequence event Random Search...
    72 KB (7,951 words) - 17:13, 5 June 2025
  • Thumbnail for Randomness
    In common usage, randomness is the apparent or actual lack of definite pattern or predictability in information. A random sequence of events, symbols...
    34 KB (4,303 words) - 14:32, 26 June 2025
  • Thumbnail for Sorting algorithm
    some algorithms are designed for sequential access, the highest-performing algorithms assume data is stored in a data structure which allows random access...
    71 KB (6,619 words) - 01:43, 16 July 2025
  • A pseudorandom sequence of numbers is one that appears to be statistically random, despite having been produced by a completely deterministic and repeatable...
    7 KB (858 words) - 05:44, 9 January 2025
  • Thumbnail for Fisher–Yates shuffle
    next element in the shuffled sequence by randomly drawing an element from the list until no elements remain. The algorithm produces an unbiased permutation:...
    42 KB (5,223 words) - 14:49, 20 July 2025
  • NIST Statistical Test Suite Randomness Statistical randomness Algorithmically random sequence Seven states of randomness Wald–Wolfowitz runs test Wolfram...
    9 KB (1,173 words) - 09:35, 24 May 2025
  • theory of algorithmic randomness. He co-authored a paper demonstrating that a recursively enumerable real number is an algorithmically random sequence if and...
    3 KB (263 words) - 20:49, 24 July 2025
  • Thumbnail for Algorithm
    In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ ) is a finite sequence of mathematically rigorous instructions, typically used to solve...
    61 KB (7,016 words) - 18:37, 15 July 2025
  • Thumbnail for Claus P. Schnorr
    approach to the definition of an algorithmically random sequence which is alternative to the concept of Martin-Löf randomness. Schnorr was a professor of mathematics...
    4 KB (239 words) - 17:01, 7 July 2025
  • Thumbnail for Halton sequence
    is, appear to be random for many purposes. They were first introduced in 1960 and are an example of a quasi-random number sequence. They generalize the...
    7 KB (738 words) - 05:49, 16 July 2025
  • iterative algorithm. Prüfer sequences were first used by Heinz Prüfer to prove Cayley's formula in 1918. One can generate a labeled tree's Prüfer sequence by...
    7 KB (983 words) - 19:02, 19 April 2025
  • difficult to predict and exhibits statistical behavior similar to a truly random sequence. PRBS generators are used in telecommunication, such as in analog-to-information...
    8 KB (1,064 words) - 16:26, 5 February 2024
  • Thumbnail for Metropolis–Hastings algorithm
    physics, the Metropolis–Hastings algorithm is a Markov chain Monte Carlo (MCMC) method for obtaining a sequence of random samples from a probability distribution...
    30 KB (4,556 words) - 09:14, 9 March 2025
  • A random permutation is a sequence where any order of its items is equally likely at random, that is, it is a permutation-valued random variable of a...
    7 KB (847 words) - 12:03, 7 April 2025
  • Thumbnail for Hardware random number generator
    number generator (PRNG) that utilizes a deterministic algorithm and non-physical nondeterministic random bit generators that do not include hardware dedicated...
    28 KB (3,305 words) - 08:22, 16 June 2025
  • theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution...
    41 KB (5,282 words) - 13:37, 7 July 2025
  • Thumbnail for Kolmogorov complexity
    randomness for infinite sequences from a finite alphabet. These algorithmically random sequences can be defined in three equivalent ways. One way uses an effective...
    60 KB (7,896 words) - 07:35, 21 July 2025
  • predicate. For example, algorithms like find_if take a unary predicate that operates on the elements of a sequence. Algorithms like sort, partial_sort...
    24 KB (2,140 words) - 18:06, 7 June 2025
  • non random nature of a sequence. The algorithms represent the dictionary as an n-ary tree where n is the number of tokens used to form token sequences. Each...
    18 KB (2,566 words) - 09:26, 9 January 2025
  • passing through the same sequence of states. Deterministic algorithms are by far the most studied and familiar kind of algorithm, as well as one of the...
    9 KB (965 words) - 07:16, 3 June 2025
  • training set.: 587–588  The first algorithm for random decision forests was created in 1995 by Tin Kam Ho using the random subspace method, which, in Ho's...
    46 KB (6,532 words) - 18:07, 27 June 2025
  • summation algorithm, also known as compensated summation, significantly reduces the numerical error in the total obtained by adding a sequence of finite-precision...
    27 KB (3,531 words) - 10:41, 9 July 2025