In mathematics, some common heuristics involve the use of visual representations, additional assumptions, forward/backward reasoning and simplification.
The most fundamental heuristic is trial and error, which can be used in everything from matching nuts and bolts to finding the values of variables in algebra problems.
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 can be used to speed up the process of finding a satisfactory solution.[8][9] Heuristics can be mental shortcuts that ease the cognitive load of making a decision.[10][11][12]
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