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uniformly distributed sequence

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  • Equidistributed sequence — In mathematics, a bounded sequence {s1, s2, s3, …} of real numbers is said to be equidistributed, or uniformly distributed, if the proportion of terms falling in a subinterval is proportional to the length of that interval. Such sequences are… …   Wikipedia

  • Low-discrepancy sequence — In mathematics, a low discrepancy sequence is a sequence with the property that for all values of N , its subsequence x 1, ..., x N has a low discrepancy.Roughly speaking, the discrepancy of a sequence is low if the number of points in the… …   Wikipedia

  • Ergodic sequence — In mathematics, an ergodic sequence is a certain type of integer sequence, having certain equidistribution properties.DefinitionLet A = {a j} be an infinite, strictly increasing sequence of positive integers. Then, given an integer q , this… …   Wikipedia

  • Van der Corput sequence — A van der Corput sequence is a low discrepancy sequence over the unit interval first published in 1935 by the Dutch mathematician J. G. van der Corput. It is constructed by reversing the base n representation of the sequence of natural numbers (1 …   Wikipedia

  • Chord (distributed hash table) — Chord is one of the original distributed hash table protocols. Chord is being developed at MIT and the current Chord source code can be downloaded and used under the MIT License.Overview Using the Chord lookup protocol, node keys are arranged in… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

  • Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia

  • Equidistribution theorem — In mathematics, the equidistribution theorem is the statement that the sequence : a , 2 a , 3 a , ... mod 1 is uniformly distributed on the unit interval, when a is an irrational number. It is a special case of the ergodic theorem.clarify… …   Wikipedia

  • Monte Carlo method — Not to be confused with Monte Carlo algorithm. Computational physics …   Wikipedia

  • physical science, principles of — Introduction       the procedures and concepts employed by those who study the inorganic world.        physical science, like all the natural sciences, is concerned with describing and relating to one another those experiences of the surrounding… …   Universalium

  • Renewal theory — is the branch of probability theory that generalizes Poisson processes for arbitrary holding times . Applications include calculating the expected time for a monkey who is randomly tapping at a keyboard to type the word Macbeth and comparing the… …   Wikipedia

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