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  2. Problem-based learning - Wikipedia

    en.wikipedia.org/wiki/Problem-based_learning

    These studies were conducted largely based on individual problem solving of well-defined problems. Sweller (1988) proposed cognitive load theory to explain how novices react to problem solving during the early stages of learning. [41] Sweller, et al. suggests a worked example early, and then a gradual introduction of problems to be solved.

  3. Quadratic programming - Wikipedia

    en.wikipedia.org/wiki/Quadratic_programming

    Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions.Specifically, one seeks to optimize (minimize or maximize) a multivariate quadratic function subject to linear constraints on the variables.

  4. Hyperbolic partial differential equation - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_partial...

    They travel along the characteristics of the equation. This feature qualitatively distinguishes hyperbolic equations from elliptic partial differential equations and parabolic partial differential equations. A perturbation of the initial (or boundary) data of an elliptic or parabolic equation is felt at once by essentially all points in the domain.

  5. Chess problem - Wikipedia

    en.wikipedia.org/wiki/Chess_problem

    A chess problem, also called a chess composition, is a puzzle set by the composer using chess pieces on a chess board, which presents the solver with a particular task.For instance, a position may be given with the instruction that White is to move first, and checkmate Black in two moves against any possible defence.

  6. Integer programming - Wikipedia

    en.wikipedia.org/wiki/Integer_programming

    An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.In many settings the term refers to integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear.

  7. Decision problem - Wikipedia

    en.wikipedia.org/wiki/Decision_problem

    A decision problem has only two possible outputs (yes or no) on any input. In computability theory and computational complexity theory, a decision problem is a computational problem that can be posed as a yes–no question of the input values. An example of a decision problem is deciding by means of an algorithm whether a given natural number ...

  8. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    The problem P1 can be solved directly by computing antiderivatives. However, this method of solving the boundary value problem (BVP) works only when there is one spatial dimension. It does not generalize to higher-dimensional problems or problems like + ″ =. For this reason, we will develop the finite element method for P1 and outline its ...

  9. Lateral thinking - Wikipedia

    en.wikipedia.org/wiki/Lateral_thinking

    Problem solving When something creates a problem, the performance or the status quo of the situation drops. Problem-solving deals with finding out what caused the problem and then figuring out ways to fix the problem. The objective is to get the situation to where it should be.

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