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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. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS ...
A heuristic[1] or heuristic technique (problem solving, mental shortcut, rule of thumb) [2][3][4][5] is any approach to problem solving that employs a pragmatic method that is not fully optimized, perfected, or rationalized, but is nevertheless "good enough" as an approximation or attribute substitution. [6][7] Where finding an optimal solution is impossible or impractical, heuristic methods ...
Root cause analysis. In the field of science and engineering, root cause analysis (RCA) is a method of problem solving used for identifying the root causes of faults or problems. [1] It is widely used in IT operations, manufacturing, telecommunications, industrial process control, accident analysis (e.g., in aviation, [2] rail transport, or ...
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. This includes knowledge acquisition, enhanced group collaboration and ...
Linear programming is a special case of mathematical programming (also known as mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polytope, which is a set defined as the ...
Creative problem-solving (CPS) [1] is the mental process of searching for an original and previously unknown solution to a problem. To qualify, the solution must be novel and reached independently. [1][2] The creative problem-solving process was originally developed by Alex Osborn and Sid Parnes.
Trial and error Trial and error is a fundamental method of problem-solving [1] characterized by repeated, varied attempts which are continued until success, [2] or until the practicer stops trying.
Given a twice differentiable function , we seek to solve the optimization problem Newton's method attempts to solve this problem by constructing a sequence from an initial guess (starting point) that converges towards a minimizer of by using a sequence of second-order Taylor approximations of around the iterates.