The primary purpose of bounding is to set limits or constraints on a particular variable, function, or set. This technique is used in various fields, including mathematics, computer science, and optimization, to establish ranges within which solutions or values can be found.
In mathematical analysis, for example, bounding can help in proving the convergence of sequences or the existence of limits. In optimization problems, bounding helps in narrowing down the search space for solutions, allowing for more efficient algorithms. Overall, bounding is a crucial tool for analysis, problem-solving, and decision-making across many disciplines.
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