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  2. Logic puzzle - Wikipedia

    en.wikipedia.org/wiki/Logic_puzzle

    Another form of logic puzzle, popular among puzzle enthusiasts and available in magazines dedicated to the subject, is a format in which the set-up to a scenario is given, as well as the object (for example, determine who brought what dog to a dog show, and what breed each dog was), certain clues are given ("neither Misty nor Rex is the German Shepherd"), and then the reader fills out a matrix ...

  3. Logical matrix - Wikipedia

    en.wikipedia.org/wiki/Logical_matrix

    A permutation matrix is a (0, 1)-matrix, all of whose columns and rows each have exactly one nonzero element.. A Costas array is a special case of a permutation matrix.; An incidence matrix in combinatorics and finite geometry has ones to indicate incidence between points (or vertices) and lines of a geometry, blocks of a block design, or edges of a graph.

  4. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    The mortal matrix problem. Determining whether a finite set of upper triangular 3 × 3 matrices with nonnegative integer entries generates a free semigroup. [citation needed] Determining whether two finitely generated subsemigroups of integer matrices have a common element. [3]

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Gaussian elimination - Wikipedia

    en.wikipedia.org/wiki/Gaussian_elimination

    As a corollary, the following problems can be solved in strongly polynomial time with the same bit complexity: [12]: 40 Testing whether m given rational vectors are linearly independent; Computing the determinant of a rational matrix; Computing a solution of a rational equation system Ax = b; Computing the inverse matrix of a nonsingular ...

  7. Induction puzzles - Wikipedia

    en.wikipedia.org/wiki/Induction_puzzles

    Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. [1] [2]A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps.

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  9. Vector logic - Wikipedia

    en.wikipedia.org/wiki/Vector_logic

    In vector logic, the matrix-vector structure of logical operators is an exact translation to the format of linear algebra of these Boolean polynomials, where the x and 1−x correspond to vectors s and n respectively (the same for y and 1−y). In the example of NAND, f(1,1)=n and f(1,0)=f(0,1)=f(0,0)=s and the matrix version becomes: