Difference between revisions of "Local Minimum"
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| − | A '''Local Minimum''' occurs on a function at a point such that the function is greater than the minimum for an area around the function. The function must be continuous in this area. | + | A '''Local Minimum''' occurs on a [[function]] at a point such that the function is greater than the minimum for an area around the function. The function must be continuous in this area. |
Mathematically, a local minimum is said to exist at point c if: <math>f(c) < f(x)</math>, for some <math>|x-c|<a</math>. | Mathematically, a local minimum is said to exist at point c if: <math>f(c) < f(x)</math>, for some <math>|x-c|<a</math>. | ||
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
Revision as of 01:45, December 30, 2008
A Local Minimum occurs on a function at a point such that the function is greater than the minimum for an area around the function. The function must be continuous in this area.
Mathematically, a local minimum is said to exist at point c if: <math>f(c) < f(x)</math>, for some <math>|x-c|<a</math>.