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  2. Method of dominant balance - Wikipedia

    en.wikipedia.org/wiki/Method_of_dominant_balance

    An early example of the dominant balance method is the Newton polygon method. Newton developed this method to find an explicit approximation for an algebraic function . Newton expressed the function as proportional to the independent variable raised to a power , retained only the lowest-degree polynomial terms (dominant terms), and solved this ...

  3. 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.

  4. Eight disciplines problem solving - Wikipedia

    en.wikipedia.org/wiki/Eight_Disciplines_Problem...

    D0: Preparation and Emergency Response Actions: Plan for solving the problem and determine the prerequisites. Provide emergency response actions. D1: Use a Team: Establish a team of people with product/process knowledge. Teammates provide new perspectives and different ideas when it comes to problem solving.

  5. Backward induction - Wikipedia

    en.wikipedia.org/wiki/Backward_induction

    Backward induction is the process of determining a sequence of optimal choices by reasoning from the endpoint of a problem or situation back to its beginning using individual events or actions. [1] Backward induction involves examining the final point in a series of decisions and identifying the optimal process or action required to arrive at ...

  6. Knapsack problem - Wikipedia

    en.wikipedia.org/wiki/Knapsack_problem

    The most common problem being solved is the 0-1 knapsack problem, which restricts the number of copies of each kind of item to zero or one. Given a set of n {\displaystyle n} items numbered from 1 up to n {\displaystyle n} , each with a weight w i {\displaystyle w_{i}} and a value v i {\displaystyle v_{i}} , along with a maximum weight capacity ...

  7. Issue-based information system - Wikipedia

    en.wikipedia.org/wiki/Issue-based_information_system

    Since the problem observed by a designer can always be treated as merely a symptom of another higher-level problem, the argumentative approach also increases the likelihood that someone will attempt to attack the problem from this point of view. Another desirable characteristic of the Issue-Based Information System is that it helps to make the ...

  8. Abel–Ruffini theorem - Wikipedia

    en.wikipedia.org/wiki/Abel–Ruffini_theorem

    The first person who conjectured that the problem of solving quintics by radicals might be impossible to solve was Carl Friedrich Gauss, who wrote in 1798 in section 359 of his book Disquisitiones Arithmeticae (which would be published only in 1801) that "there is little doubt that this problem does not so much defy modern methods of analysis ...

  9. Problem structuring methods - Wikipedia

    en.wikipedia.org/wiki/Problem_structuring_methods

    Problem structuring methods (PSMs) are a group of techniques used to model or to map the nature or structure of a situation or state of affairs that some people want to change. [1] PSMs are usually used by a group of people in collaboration (rather than by a solitary individual) to create a consensus about, or at least to facilitate ...