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  2. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    E (short for "Equator" layer) represents turning the layer between the U and D faces 1 quarter turn clockwise (left to right), as seen facing the (invisible) D face. As with regular turns, a 2 signifies a half turn and a prime (') indicates a turn counterclockwise. [5] The letters H, S and V are used to denote the turning of a middle layer.

  3. Four glasses puzzle - Wikipedia

    en.wikipedia.org/wiki/Four_glasses_puzzle

    In step 3, if a glass is face down, it is turned face up; otherwise, either glass is turned face down. The four glasses puzzle , also known as the blind bartender's problem , [ 1 ] is a logic puzzle first publicised by Martin Gardner in his "Mathematical Games" column in the February 1979 edition of Scientific American .

  4. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Pólya mentions that there are many reasonable ways to solve problems. [3] The skill at choosing an appropriate strategy is best learned by solving many problems. You will find choosing a strategy increasingly easy. A partial list of strategies is included: Guess and check [9] Make an orderly list [10] Eliminate possibilities [11] Use symmetry [12]

  5. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For any integer n, n ≡ 1 (mod 2) if and only if 3n + 14 (mod 6). Equivalently, ⁠ n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6). Conjecturally, this inverse relation forms a tree except for the 124 loop (the inverse of the 421 loop of the unaltered function f defined in the Statement of the problem section of ...

  6. Kobalt (tools) - Wikipedia

    en.wikipedia.org/wiki/Kobalt_(tools)

    [2] In 2003, the Danaher Corporation began producing the majority of Kobalt hand tools. [3] [4] In 2011, Lowe's ended its arrangement with Danaher and switched to a different supplier for its mechanic's hand tools, [5] JS Products of Las Vegas, Nevada. [6] Screwdrivers continue to be supplied by Great Neck. [7]

  7. Berg connector - Wikipedia

    en.wikipedia.org/wiki/Berg_connector

    Example part numbers are any of TE Connectivity / AMP 170204-* (loose pieces) or 170262-* (pieces supplied in strips), where * is 1 or 2 or 4. [ 2 ] [ 3 ] The male PCB connector on the 3½-inch floppy drive is normally a polarized right-angle male header, which is a TE Connectivity / AMP 171826-4, [ 4 ] the straight model is AMP 171825-4.

  8. Hydraulic rescue tool - Wikipedia

    en.wikipedia.org/wiki/Hydraulic_rescue_tool

    The tools operate on the basis of the hydraulic fluid pressure of up to 720 bars (10,400 psi; 72 MPa), which must be provided from a power source. At present, there are three different means of generating pressure. The most commonly used source is a separate power unit, small petrol (gasoline) engine connected to a hydraulic pump.

  9. Quartic equation - Wikipedia

    en.wikipedia.org/wiki/Quartic_equation

    3.2 Solving a depressed quartic when b ≠ 0. ... Since 1 raised to any power is 1, () ... we really only need the values for s 1, s 2 and s 3. These we may find by ...