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  2. Quadratic unconstrained binary optimization - Wikipedia

    en.wikipedia.org/wiki/Quadratic_unconstrained...

    In its general form, QUBO is NP-hard and cannot be solved efficiently by any polynomial-time algorithm. [6] However, there are polynomially-solvable special cases, where has certain properties, [7] for example: If all coefficients are positive, the optimum is trivially = (, …,).

  3. Goal seeking - Wikipedia

    en.wikipedia.org/wiki/Goal_seeking

    Basic goal seeking functionality is built into most modern spreadsheet packages such as Microsoft Excel. According to O'Brien and Marakas, [1] optimization analysis is a more complex extension of goal-seeking analysis. Instead of setting a specific target value for a variable, the goal is to find the optimum value for one or more target ...

  4. Bin packing problem - Wikipedia

    en.wikipedia.org/wiki/Bin_packing_problem

    In Computers and Intractability [8]: 226 Garey and Johnson list the bin packing problem under the reference [SR1]. They define its decision variant as follows. Instance: Finite set of items, a size () + for each , a positive integer bin capacity , and a positive integer .

  5. Quadratic programming - Wikipedia

    en.wikipedia.org/wiki/Quadratic_programming

    Popular solver with an API (C, C++, Java, .Net, Python, Matlab and R). Free for academics. Excel Solver Function: A nonlinear solver adjusted to spreadsheets in which function evaluations are based on the recalculating cells. Basic version available as a standard add-on for Excel. GAMS: A high-level modeling system for mathematical optimization ...

  6. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    Variables in a rule are automatically posted to the Variable Sheet when the rule is entered and the rule is displayed in mathematical format in the MathLook View window at the bottom of the screen. Any variable can operate as an input or an output, and the model [8] will be solved for the output variables depending on the choice of inputs.

  7. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    The general nth order linear differential equation with constant coefficients has the form: + + … + + = = () = (). The function f ( t ) is known as the forcing function . If the differential equation only contains real (not complex) coefficients, then the properties of such a system behaves as a mixture of first and second order systems only.

  8. Data compaction - Wikipedia

    en.wikipedia.org/wiki/Data_compaction

    In telecommunications, data compaction is the reduction of the number of data elements, bandwidth, cost, and time for the generation, transmission, and storage of data without loss of information by eliminating unnecessary redundancy, removing irrelevancy, or using special coding.

  9. Satisfiability modulo theories - Wikipedia

    en.wikipedia.org/wiki/Satisfiability_modulo_theories

    In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable.It generalizes the Boolean satisfiability problem (SAT) to more complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings.