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Scholars distinguish between well-defined and ill-defined problems. Briggs and Reinig defined a well-defined solution in terms of space solution space. Pretz, Naples, and Sternberg defined a well-defined problem as one for which the parts of the solution are closely related or clearly based on the information given. Problem finding applies to ...
In particular, the term well-defined is used with respect to (binary) operations on cosets. In this case, one can view the operation as a function of two variables, and the property of being well-defined is the same as that for a function. For example, addition on the integers modulo some n can be defined naturally in terms of integer addition.
The term problem solving has a slightly different meaning depending on the discipline. For instance, it is a mental process in psychology and a computerized process in computer science. There are two different types of problems: ill-defined and well-defined; different approaches are used for each.
Problems in nonlinear complex systems (so-called chaotic systems) provide well-known examples of instability. An ill-conditioned problem is indicated by a large condition number. If the problem is well-posed, then it stands a good chance of solution on a computer using a stable algorithm. If it is not well-posed, it needs to be re-formulated ...
The following articles contain lists of problems: List of philosophical problems; List of undecidable problems; Lists of unsolved problems; List of NP-complete problems; List of PSPACE-complete problems
Typically, every agent makes decisions by solving a well- or ill-defined optimization or choice problem. For example, buyers ( consumers ) and sellers ( producers ) are two common types of agents in partial equilibrium models of a single market .
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Designing deals with design problems that can be categorized on a spectrum of types of problems from well-defined problems to ill-defined ones to problems that are wickedly difficult. [14]: 39 In the 2010s, the category of super wicked global problems emerged as well. [15]