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  2. Problem solving - Wikipedia

    en.wikipedia.org/wiki/Problem_solving

    Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields.

  3. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Can you vary or change your problem to create a new problem (or set of problems) whose solution(s) will help you solve your original problem? Search: Auxiliary Problem: Can you find a subproblem or side problem whose solution will help you solve your problem? Subgoal: Here is a problem related to yours and solved before

  4. Open problem - Wikipedia

    en.wikipedia.org/wiki/Open_problem

    Two notable examples in mathematics that have been solved and closed by researchers in the late twentieth century are Fermat's Last Theorem [1] and the four-color theorem. [2] [3] An important open mathematics problem solved in the early 21st century is the Poincaré conjecture. Open problems exist in all scientific fields.

  5. Problem-based learning - Wikipedia

    en.wikipedia.org/wiki/Problem-based_learning

    Problem-based learning (PBL) is a teaching method in which students learn about a subject through the experience of solving an open-ended problem found in trigger material. The PBL process does not focus on problem solving with a defined solution, but it allows for the development of other desirable skills and attributes.

  6. Troubleshooting - Wikipedia

    en.wikipedia.org/wiki/Troubleshooting

    Troubleshooting is a form of problem solving, often applied to repair failed products or processes on a machine or a system. It is a logical, systematic search for the source of a problem in order to solve it, and make the product or process operational again. Troubleshooting is needed to identify the symptoms.

  7. TRIZ - Wikipedia

    en.wikipedia.org/wiki/TRIZ

    TRIZ flowchart Contradiction matrix 40 principles of invention, principles based on TRIZ. One tool which evolved as an extension of TRIZ was a contradiction matrix. [14] The ideal final result (IFR) is the ultimate solution of a problem when the desired result is achieved by itself.

  8. Problem statement - Wikipedia

    en.wikipedia.org/wiki/Problem_statement

    A problem statement is a description of an issue to be addressed, or a condition to be improved upon. It identifies the gap between the current problem and goal. The first condition of solving a problem is understanding the problem, which can be done by way of a problem statement. [1]

  9. NP-completeness - Wikipedia

    en.wikipedia.org/wiki/NP-completeness

    Cook and Levin proved that each easy-to-verify problem can be solved as fast as SAT, which is hence NP-complete. In computational complexity theory, a problem is NP-complete when: It is a decision problem, meaning that for any input to the problem, the output is either "yes" or "no".