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What is a local minimum point?

Updated: 12/22/2022
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A function has a "local minimum point" at a point p where there exists at least one positive number e having the property that the value v of the function for any point q for which the absolute value of q - p is greater than 0 but not greater than e, the value of the function at q is greater than or equal to the value at p.

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Q: What is a local minimum point?
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