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  2. Computational complexity theory - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity...

    Worst-case complexity: This is the complexity of solving the problem for the worst input of size . The order from cheap to costly is: Best, average (of discrete uniform distribution), amortized, worst. For example, the deterministic sorting algorithm quicksort addresses the problem of sorting a list of integers. The worst-case is when the pivot ...

  3. Computational complexity - Wikipedia

    en.wikipedia.org/wiki/Computational_complexity

    The complexity of a problem is the complexity of the best algorithms that allow solving the problem. The study of the complexity of explicitly given algorithms is called analysis of algorithms, while the study of the complexity of problems is called computational complexity theory.

  4. Expert system - Wikipedia

    en.wikipedia.org/wiki/Expert_system

    In artificial intelligence (AI), an expert system is a computer system emulating the decision-making ability of a human expert. [1] Expert systems are designed to solve complex problems by reasoning through bodies of knowledge, represented mainly as if–then rules rather than through conventional procedural programming code. [2]

  5. Distributed artificial intelligence - Wikipedia

    en.wikipedia.org/wiki/Distributed_artificial...

    Parallel problem solving: mainly deals with how classic artificial intelligence concepts can be modified, so that multiprocessor systems and clusters of computers can be used to speed up calculation. Distributed problem solving (DPS): the concept of agent , autonomous entities that can communicate with each other, was developed to serve as an ...

  6. Travelling salesman problem - Wikipedia

    en.wikipedia.org/wiki/Travelling_salesman_problem

    Solution of a travelling salesman problem: the black line shows the shortest possible loop that connects every red dot. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the ...

  7. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    While added complexity usually improves the realism of a model, it can make the model difficult to understand and analyze, and can also pose computational problems, including numerical instability. Thomas Kuhn argues that as science progresses, explanations tend to become more complex before a paradigm shift offers radical simplification. [9]

  8. Combinatorial explosion - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_explosion

    Adding one more piece to a chess ending (thus making an 8-piece tablebase) is considered intractable due to the added combinatorial complexity. [ 6 ] [ 7 ] Furthermore, the prospect of solving larger chess-like games becomes more difficult as the board-size is increased, such as in large chess variants , and infinite chess .

  9. Complexity class - Wikipedia

    en.wikipedia.org/wiki/Complexity_class

    Complexity theorists are thus generally concerned with finding the smallest complexity class that a problem falls into and are therefore concerned with identifying which class a computational problem falls into using the most efficient algorithm. There may be an algorithm, for instance, that solves a particular problem in exponential time, but ...