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  2. Atomic orbital - Wikipedia

    en.wikipedia.org/wiki/Atomic_orbital

    The repeating periodicity of blocks of 2, 6, 10, and 14 elements within sections of periodic table arises naturally from total number of electrons that occupy a complete set of s, p, d, and f orbitals, respectively, though for higher values of quantum number n, particularly when the atom bears a positive charge, energies of certain sub-shells ...

  3. Blocking (statistics) - Wikipedia

    en.wikipedia.org/wiki/Blocking_(statistics)

    When studying probability theory the blocks method consists of splitting a sample into blocks (groups) separated by smaller subblocks so that the blocks can be considered almost independent. [5] The blocks method helps proving limit theorems in the case of dependent random variables.

  4. Z-order curve - Wikipedia

    en.wikipedia.org/wiki/Z-order_curve

    The Z-ordering can be used to efficiently build a quadtree (2D) or octree (3D) for a set of points. [5] [6] The basic idea is to sort the input set according to Z-order.Once sorted, the points can either be stored in a binary search tree and used directly, which is called a linear quadtree, [7] or they can be used to build a pointer based quadtree.

  5. Orders of magnitude (probability) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude...

    Probability of being dealt a four of a kind in poker 10 −3: Milli-(m) 1.3×10 −3: Gaussian distribution: probability of a value being more than 3 standard deviations from the mean on a specific side [17] 1.4×10 −3: Probability of a human birth giving triplets or higher-order multiples [18] Probability of being dealt a full house in poker ...

  6. Isserlis' theorem - Wikipedia

    en.wikipedia.org/wiki/Isserlis'_theorem

    In probability theory, Isserlis' theorem or Wick's probability theorem is a formula that allows one to compute higher-order moments of the multivariate normal distribution in terms of its covariance matrix. It is named after Leon Isserlis.

  7. Order statistic - Wikipedia

    en.wikipedia.org/wiki/Order_statistic

    In the case that () is the largest order statistic , there has to be samples (each with an independent probability of ()) and samples > (each with an independent probability of ()). Finally there are ( n j ) {\displaystyle \textstyle {\binom {n}{j}}} different ways of choosing which of the n {\displaystyle n} samples are of the ≤ x ...

  8. Big O in probability notation - Wikipedia

    en.wikipedia.org/wiki/Big_O_in_probability_notation

    The order in probability notation is used in probability theory and statistical theory in direct parallel to the big O notation that is standard in mathematics.Where the big O notation deals with the convergence of sequences or sets of ordinary numbers, the order in probability notation deals with convergence of sets of random variables, where convergence is in the sense of convergence in ...

  9. Asymptotic equipartition property - Wikipedia

    en.wikipedia.org/wiki/Asymptotic_equipartition...

    Given a discrete-time stationary ergodic stochastic process on the probability space (,,), the asymptotic equipartition property is an assertion that, almost surely, ⁡ (,, …,) where () or simply denotes the entropy rate of , which must exist for all discrete-time stationary processes including the ergodic ones.