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  2. AC-3 algorithm - Wikipedia

    en.wikipedia.org/wiki/AC-3_algorithm

    In constraint satisfaction, the AC-3 algorithm (short for Arc Consistency Algorithm #3) is one of a series of algorithms used for the solution of constraint satisfaction problems (or CSPs). It was developed by Alan Mackworth in 1977. The earlier AC algorithms are often considered too inefficient, and many of the later ones are difficult to ...

  3. Consistent and inconsistent equations - Wikipedia

    en.wikipedia.org/wiki/Consistent_and...

    The system + =, + = has exactly one solution: x = 1, y = 2 The nonlinear system + =, + = has the two solutions (x, y) = (1, 0) and (x, y) = (0, 1), while + + =, + + =, + + = has an infinite number of solutions because the third equation is the first equation plus twice the second one and hence contains no independent information; thus any value of z can be chosen and values of x and y can be ...

  4. National Council of Educational Research and Training

    en.wikipedia.org/wiki/National_Council_of...

    This framework came in 1975. [8] It emphasized that a curriculum based on the principles laid out in the framework has to be developed on the basis of research. Thus for NCERT, the 1970s was a decade flushed with curriculum research and development activities to narrate the content and process of education to Indian realities.

  5. Equation solving - Wikipedia

    en.wikipedia.org/wiki/Equation_solving

    In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns. A solution is an assignment of ...

  6. Extraneous and missing solutions - Wikipedia

    en.wikipedia.org/wiki/Extraneous_and_missing...

    In mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it. [1] A missing solution is a valid one which is lost during the solution process.

  7. Modularity theorem - Wikipedia

    en.wikipedia.org/wiki/Modularity_theorem

    The modularity theorem implies a closely related analytic statement: To each elliptic curve E over we may attach a corresponding L-series.The L-series is a Dirichlet series, commonly written

  8. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions.

  9. Creativity - Wikipedia

    en.wikipedia.org/wiki/Creativity

    A picture of an incandescent light bulb is symbolically associated with the formation of an idea, an example of creativity.. Creativity is the ability to form novel and valuable ideas or works using one's imagination.