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In physics, especially quantum field theory, regularization is a method of dealing with infinite, divergent, and non-sensical expressions by introducing an auxiliary concept of a regulator (for example, the minimal distance epsilon in space which is useful if the divergences arise from short-distance physical effects). The correct physical result is obtained in the limit in which the regulator goes away (in our example, epsilon o 0), but the virtue of the regulator is that for its finite value, the result is finite.
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