IEVref: | 103-05-16 | ID: | |

Language: | en | Status: Standard | |

Term: | local minimum | ||

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Definition: | property of a function $f(t)$ for a value t_{0} of its argument, characterised by the existence of a positive number ε such that $f({t}_{0})<f(t)$ for any t with $0<|t-{t}_{0}|<\epsilon$Note 1 to entry: If the condition $f({t}_{0})<f(t)$ is replaced with $f({t}_{0})\le f(t)$, the property may occur for an interval of values of the argument. | ||

Publication date: | 2009-12 | ||

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Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO | ||

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Note 1 to entry: If the condition $f({t}_{0})<f(t)$ is replaced with $f({t}_{0})\le f(t)$, the property may occur for an interval of values of the argument.