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  2. Continuous-time random walk - Wikipedia

    en.wikipedia.org/wiki/Continuous-time_random_walk

    In mathematics, a continuous-time random walk (CTRW) is a generalization of a random walk where the wandering particle waits for a random time between jumps. It is a stochastic jump process with arbitrary distributions of jump lengths and waiting times. [1] [2] [3] More generally it can be seen to be a special case of a Markov renewal process.

  3. Random walk - Wikipedia

    en.wikipedia.org/wiki/Random_walk

    An elementary example of a random walk is the random walk on the integer number line which starts at 0, and at each step moves +1 or −1 with equal probability. Other examples include the path traced by a molecule as it travels in a liquid or a gas (see Brownian motion ), the search path of a foraging animal, or the price of a fluctuating ...

  4. Lévy process - Wikipedia

    en.wikipedia.org/wiki/Lévy_process

    The terms of this triplet suggest that a Lévy process can be seen as having three independent components: a linear drift, a Brownian motion, and a Lévy jump process, as described below. This immediately gives that the only (nondeterministic) continuous Lévy process is a Brownian motion with drift; similarly, every Lévy process is a ...

  5. Big O notation - Wikipedia

    en.wikipedia.org/wiki/Big_O_notation

    Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity. Big O is a member of a family of notations invented by German mathematicians Paul Bachmann, [1] Edmund Landau, [2] and others, collectively called Bachmann–Landau notation or asymptotic notation.

  6. Gibbs phenomenon - Wikipedia

    en.wikipedia.org/wiki/Gibbs_phenomenon

    Since the Gibbs phenomenon comes from undershooting, it may be eliminated by using kernels that are never negative, such as the Fejér kernel. [12] [13]In practice, the difficulties associated with the Gibbs phenomenon can be ameliorated by using a smoother method of Fourier series summation, such as Fejér summation or Riesz summation, or by using sigma-approximation.

  7. Jumping line - Wikipedia

    en.wikipedia.org/wiki/Jumping_line

    In mathematics, a jumping line or exceptional line of a vector bundle over projective space is a projective line in projective space where the vector bundle has exceptional behavior, in other words the structure of its restriction to the line "jumps". Jumping lines were introduced by R. L. E. Schwarzenberger in 1961. [1] [2] The jumping lines ...

  8. SHR closure leads to a seat shakeup in NASCAR. A look ... - AOL

    www.aol.com/shr-closure-leads-seat-shakeup...

    There won't be a Stewart-Haas Racing in NASCAR next season now that Hall of Famer Tony Stewart has left the series and the four-car organization he co-owned with Formula 1 team owner Gene Haas.

  9. Vieta jumping - Wikipedia

    en.wikipedia.org/wiki/Vieta_jumping

    Using Vieta's formulas, show that this implies the existence of a smaller solution, hence a contradiction. Example. Problem #6 at IMO 1988: Let a and b be positive integers such that ab + 1 divides a 2 + b 2. Prove that ⁠ a 2 + b 2 / ab + 1 ⁠ is a perfect square. [8] [9] Fix some value k that is a non-square positive integer.