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

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

    The cube restricted to only 6 edges, not looking at the corners nor at the other edges. The cube restricted to the other 6 edges. Clearly the number of moves required to solve any of these subproblems is a lower bound for the number of moves needed to solve the entire cube. Given a random cube C, it is solved as iterative deepening. First all ...

  3. Rubik's Revenge - Wikipedia

    en.wikipedia.org/wiki/Rubik's_Revenge

    A solved Rubik's Revenge cube. The Rubik's Revenge (also known as the 4×4×4 Rubik's Cube) is a 4×4×4 version of the Rubik's Cube.It was released in 1981. Invented by Péter Sebestény, the cube was nearly called the Sebestény Cube until a somewhat last-minute decision changed the puzzle's name to attract fans of the original Rubik's Cube. [1]

  4. Jacobian matrix and determinant - Wikipedia

    en.wikipedia.org/.../Jacobian_matrix_and_determinant

    In vector calculus, the Jacobian matrix (/ dʒəˈkoʊbiən /, [1][2][3] / dʒɪ -, jɪ -/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes the same number of variables as input as the number of vector components of its output ...

  5. The Simple Solution to Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/The_Simple_Solution_to...

    0-553-14017-5. OCLC. 7627746. The Simple Solution to Rubik's Cube by James G. Nourse is a book that was published in 1981. The book explains how to solve the Rubik's Cube. The book became the best-selling book of 1981, selling 6,680,000 copies that year. It was the fastest-selling title in the 36-year history of Bantam Books.

  6. Cholesky decomposition - Wikipedia

    en.wikipedia.org/wiki/Cholesky_decomposition

    In linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced / ʃəˈlɛski / shə-LES-kee) is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions, e.g., Monte Carlo simulations.

  7. Solving a Rubik's cube is easier than you think: Here's how

    www.aol.com/news/2015-07-21-solving-a-rubiks...

    The Rubik's Cube world champion is 19 years old an can solve it in less than 6 seconds. While you won't get anywhere near his time without some years of practice, solving the cube is really not ...

  8. Cramer's rule - Wikipedia

    en.wikipedia.org/wiki/Cramer's_rule

    Cramer's rule. In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one ...

  9. Rubik's family cubes of varying sizes - Wikipedia

    en.wikipedia.org/wiki/Rubik's_family_cubes_of...

    For a given set of cube design features the complexity (difficulty) of solving a Rubik’s family cube increases if the number of reachable states increases. Three main properties affect that number: Cube size: The number of cubies to be placed is a quadratic (second order polynomial) function of cube size and therefore has a major influence on ...