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  2. Mathematical optimization - Wikipedia

    en.wikipedia.org/wiki/Mathematical_optimization

    The satisfiability problem, also called the feasibility problem, is just the problem of finding any feasible solution at all without regard to objective value. This can be regarded as the special case of mathematical optimization where the objective value is the same for every solution, and thus any solution is optimal.

  3. TK Solver - Wikipedia

    en.wikipedia.org/wiki/TK_Solver

    TK Solver has three ways of solving systems of equations. The "direct solver" solves a system algebraically by the principle of consecutive substitution. When multiple rules contain multiple unknowns, the program can trigger an iterative solver which uses the Newton–Raphson algorithm to successively approximate based on initial guesses for ...

  4. Mathematical software - Wikipedia

    en.wikipedia.org/wiki/Mathematical_software

    A solver is a piece of mathematical software, possibly in the form of a stand-alone computer program or as a software library, that 'solves' a mathematical problem.A solver takes problem descriptions in some sort of generic form and calculates their solution.

  5. AMPL - Wikipedia

    en.wikipedia.org/wiki/AMPL

    AMPL (A Mathematical Programming Language) is an algebraic modeling language to describe and solve high-complexity problems for large-scale mathematical computing (e.g. large-scale optimization and scheduling-type problems). [1] It was developed by Robert Fourer, David Gay, and Brian Kernighan at Bell Laboratories.

  6. Automata theory - Wikipedia

    en.wikipedia.org/wiki/Automata_theory

    Automata theory was initially considered a branch of mathematical systems theory, studying the behavior of discrete-parameter systems. Early work in automata theory differed from previous work on systems by using abstract algebra to describe information systems rather than differential calculus to describe material systems. [2]

  7. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.

  8. Automated theorem proving - Wikipedia

    en.wikipedia.org/wiki/Automated_theorem_proving

    This was the first automated deduction system to demonstrate an ability to solve mathematical problems that were announced in the Notices of the American Mathematical Society before solutions were formally published. [citation needed] First-order theorem proving is one of the most mature subfields of automated theorem proving. The logic is ...

  9. Semidefinite programming - Wikipedia

    en.wikipedia.org/wiki/Semidefinite_programming

    A linear programming problem is one in which we wish to maximize or minimize a linear objective function of real variables over a polytope.In semidefinite programming, we instead use real-valued vectors and are allowed to take the dot product of vectors; nonnegativity constraints on real variables in LP (linear programming) are replaced by semidefiniteness constraints on matrix variables in ...