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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 ...

  3. Table of Lie groups - Wikipedia

    en.wikipedia.org/wiki/Table_of_Lie_groups

    Z n=2 Z 2 n>2 SL(1,R) is a single point and therefore compact and simply connected sl(n,R) n 2 −1 SL(2,R) Orientation-preserving isometries of the Poincaré half-plane, isomorphic to SU(1,1), isomorphic to Sp(2,R). N 0 Z: The universal cover has no finite-dimensional faithful representations. sl(2,R) 3 O(n) orthogonal group: real orthogonal ...

  4. Buffon's needle problem - Wikipedia

    en.wikipedia.org/wiki/Buffon's_needle_problem

    Looking at the illustration in the above section, it is apparent that the needle can cross a line if the center of the needle is within ⁠ l / 2 ⁠ units of either side of the strip. Adding ⁠ l / 2 ⁠ + ⁠ l / 2 ⁠ from both sides and dividing by the whole width t, we obtain P 1 = ⁠ l / t ⁠. The red and blue needles are both centered ...

  5. Machin-like formula - Wikipedia

    en.wikipedia.org/wiki/Machin-like_formula

    In Pi Day 2024, Matt Parker along ... Compare this with equation 5. The following table shows the estimated time for each of the terms: ⁡ time 24 478: 873 121: 35 ...

  6. 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

  7. Diameter tape - Wikipedia

    en.wikipedia.org/wiki/Diameter_tape

    To measure the diameter of a tree, the diameter tape (diameter side facing user) is wrapped around the tree, in the plane perpendicular to the axis of the trunk at 4.5 feet (1.4 m) above ground (or 4.27 feet (1.30 m), depending on the location) . Where the number "0" aligns with the rest of the tape, the diameter can be read directly from the ...

  8. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    where A is the area of an epicycloid with the smaller circle of radius r and the larger circle of radius kr (), assuming the initial point lies on the larger circle. A = ( − 1 ) k + 3 8 π a 2 {\displaystyle A={\frac {(-1)^{k}+3}{8}}\pi a^{2}}

  9. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The number π (/ p aɪ / ⓘ; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.