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  2. No-three-in-line problem - Wikipedia

    en.wikipedia.org/wiki/No-three-in-line_problem

    The problem was first posed by Henry Dudeney in 1900, as a puzzle in recreational mathematics, phrased in terms of placing the 16 pawns of a chessboard onto the board so that no three are in a line. [2] This is exactly the no-three-in-line problem, for the case =. [3] In a later version of the puzzle, Dudeney modified the problem, making its ...

  3. Vieta jumping - Wikipedia

    en.wikipedia.org/wiki/Vieta_jumping

    If q = 2, then (a-b) 2 = 2 and there is no integral solution a, b. When q > 2, the equation x 2 + y 2 − qxy − q = 0 defines a hyperbola H and (a,b) represents an integral lattice point on H. If (x,x) is an integral lattice point on H with x > 0, then (since q is integral) one can see that x = 1. This proposition's statement is then true for ...

  4. 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 ...

  5. File:Think Python.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Think_Python.pdf

    English: PDF version of the Think Python Wikibook. This file was created with MediaWiki to LaTeX . The LaTeX source code is attached to the PDF file (see imprint).

  6. Step detection - Wikipedia

    en.wikipedia.org/wiki/Step_detection

    The term ‖ ‖ = # {: +} penalizes the number of jumps and the term ‖ ‖ = = | | measures fidelity to data x. The parameter γ > 0 controls the tradeoff between regularity and data fidelity . Since the minimizer u ∗ {\displaystyle u^{*}} is piecewise constant the steps are given by the non-zero locations of the gradient ∇ u ∗ ...

  7. Core Python Programming - Wikipedia

    en.wikipedia.org/wiki/Core_Python_Programming

    Core Python Programming is a textbook on the Python programming language, written by Wesley J. Chun. The first edition of the book was released on December 14, 2000. [1] The second edition was released several years later on September 18, 2006. [2] Core Python Programming is mainly targeted at higher education students and IT professionals. [3]

  8. Turing jump - Wikipedia

    en.wikipedia.org/wiki/Turing_jump

    The jump can be iterated into transfinite ordinals: there are jump operators for sets of natural numbers when is an ordinal that has a code in Kleene's (regardless of code, the resulting jumps are the same by a theorem of Spector), [2] in particular the sets 0 (α) for α < ω 1 CK, where ω 1 CK is the Church–Kleene ordinal, are closely ...

  9. Mark Pilgrim - Wikipedia

    en.wikipedia.org/wiki/Mark_Pilgrim

    He authored a popular blog, and has written several books, including Dive into Python, a guide to the Python programming language published under the GNU Free Documentation License. Formerly an accessibility architect in the IBM Emerging Technologies Group, [2] he started working at Google in March 2007. [3] In 2018, he moved to Brave.

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