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minimum

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minimum

In mathematics, a point at which the value of a function is lowest. If the value is less than or equal to all other function values, it is an absolute minimum. If it is merely less than at any nearby point, it is a relative, or local, minimum. In calculus, the derivative equals zero or does not exist at a function's minimum point. See also maximum, optimization.


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With a minimum of effort and insignificant losses, despite the greatest confusion, the most important results of the whole campaign were attained: the transition from retreat to advance, an exposure of the weakness of the French, and the administration of that shock which Napoleon's army had only awaited to begin its flight.
(commonly supposed to have been established by William of Wykeham at Winchester, and imported to Rugby by Arnold more for the sake of the lines which were learnt by heart with it than for its own intrinsic value, as I've always understood), that it is a short exercise in Greek or Latin verse, on a given subject, the minimum number of lines being fixed for each form.
In these simultaneous observations they thought themselves justified in estimating the minimum length of the mammal at more than three hundred and fifty feet, as the Shannon and Helvetia were of smaller dimensions than it, though they measured three hundred feet over all.
 
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