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  2. Lies of P - Wikipedia

    en.wikipedia.org/wiki/Lies_of_P

    Lies of P (Korean: P의 거짓) is a 2023 action role-playing game developed by Neowiz and Round8 Studio and published by Neowiz. Loosely based on Carlo Collodi's 1883 novel, The Adventures of Pinocchio, the story follows the titular puppet traversing the fictional city of Krat, plagued by both an epidemic of petrification disease and a puppet uprising.

  3. Approximations of π - Wikipedia

    en.wikipedia.org/wiki/Approximations_of_π

    Archimedes uses no trigonometry in this computation and the difficulty in applying the method lies in obtaining good approximations for the square roots that are involved. Trigonometry, in the form of a table of chord lengths in a circle, was probably used by Claudius Ptolemy of Alexandria to obtain the value of π given in the Almagest (circa ...

  4. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    is the number of collisions made (in ideal conditions, perfectly elastic with no friction) by an object of mass m initially at rest between a fixed wall and another object of mass b 2N m, when struck by the other object. [1] (This gives the digits of π in base b up to N digits past the radix point.)

  5. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    ⁠ 2l · n / th ⁠ = ⁠ 2 × 9 × 17 / 9 × 11 ⁠ ≈ 3.1 ≈ π. A Python 3 based simulation using Matplotlib to sketch Buffon's needle experiment with the parameters t = 5.0 , l = 2.6 . Observe the calculated value of π ( y -axis) approaching 3.14 as the number of tosses ( x -axis) approaches infinity.

  6. Chronology of computation of π - Wikipedia

    en.wikipedia.org/wiki/Chronology_of_computation...

    Pi, (equal to 3.14159265358979323846264338327950288) is a mathematical sequence of numbers. The table below is a brief chronology of computed numerical values of, or ...

  7. Proof that π is irrational - Wikipedia

    en.wikipedia.org/wiki/Proof_that_π_is_irrational

    Claim 2: For each real number , lim k → + ∞ f k ( x ) = 1. {\displaystyle \lim _{k\to +\infty }f_{k}(x)=1.} Proof: In fact, the sequence x 2 n / n ! {\displaystyle x^{2n}/n!} is bounded (since it converges to 0 {\displaystyle 0} ) and if C {\displaystyle C} is an upper bound and if k > 1 , {\displaystyle k>1,} then

  8. Minimax estimator - Wikipedia

    en.wikipedia.org/wiki/Minimax_estimator

    In this decision problem, the minimax estimator lies on a line segment connecting two deterministic estimators. Choosing δ 1 {\displaystyle \delta _{1}} with probability 1 − p {\displaystyle 1-p} and δ 2 {\displaystyle \delta _{2}} with probability p {\displaystyle p} minimises the supremum risk.

  9. Alignments of random points - Wikipedia

    en.wikipedia.org/wiki/Alignments_of_random_points

    Consider a set of n points in a compact area with approximate diameter L and area approximately L 2. Consider a valid line to be one where every point is within distance w/2 of the line (that is, lies on a track of width w, where w ≪ L). Consider all the unordered sets of k points from the n points, of which there are: =!