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  2. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    A number of algorithms for other types of optimization problems work by solving linear programming problems as sub-problems. Historically, ideas from linear programming have inspired many of the central concepts of optimization theory, such as duality, decomposition, and the importance of convexity and its generalizations.

  3. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    These algorithms run online and repeatedly determine values for decision variables, such as choke openings in a process plant, by iteratively solving a mathematical optimization problem including constraints and a model of the system to be controlled.

  4. Maze-solving algorithm - Wikipedia

    en.wikipedia.org/wiki/Maze-solving_algorithm

    Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.

  5. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    Konopasek's goal in inventing the TK Solver concept was to create a problem solving environment in which a given mathematical model built to solve a specific problem could be used to solve related problems (with a redistribution of input and output variables) with minimal or no additional programming required: once a user enters an equation, TK ...

  6. Stars and bars (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

    Many elementary word problems in combinatorics are resolved by the theorems above. Four cookies are distributed between Tom, Dick, and Harry (TDH) in such a way that each gets at least one cookie. The 4 cookies are traditionally represented as stars (****). But here, they are shown as cookie-colored circles ( ).

  7. History of algebra - Wikipedia

    en.wikipedia.org/wiki/History_of_algebra

    Arithmetica is the earliest extant work present that solve arithmetic problems by algebra. Diophantus however did not invent the method of algebra, which existed before him. [36] Algebra was practiced and diffused orally by practitioners, with Diophantus picking up techniques to solve problems in arithmetic. [37]

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