mean value

listen to the pronunciation of mean value
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an average of n numbers computed by adding some function of the numbers and dividing by some function of n
mean value theorem
a statement that claims that given an arc of a differentiable curve, there is at least one point on that arc at which the derivative of the curve is equal to the average derivative of the arc
mean-value theorems
In mathematics, two theorems, one associated with differential calculus and one with integral calculus. The first proposes that any differentiable function defined on an interval has a mean value, at which a tangent line is parallel to the line connecting the endpoints of the function's graph on that interval. For example, if a car covers a mile from a dead stop in one minute, it must have been traveling exactly a mile a minute at some point along that mile. In integral calculus, the mean value of a function on an interval is, in essence, the arithmetic mean (see mean, median and mode) of its values over the interval. Because the number of values is infinite, a true arithmetic mean is not possible. The theorem shows how to find the mean value using a definite integral. See also Rolle's theorem
root-mean-square value
square root of the average of squared numbers
mean value


    mean val·ue

    Türkische aussprache

    min välyu


    /ˈmēn ˈvalyo͞o/ /ˈmiːn ˈvæljuː/


    [ 'mEn ] (verb.) before 12th century. Middle English menen, from Old English m[AE]nan; akin to Old High German meinen to have in mind, Old Church Slavonic meniti to mention.

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