Sentence examples for mean value theorem from inspiring English sources
noun
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.
Here, we consider the intermediate and mean value theorem and their uniform generalizations.
The definite integral, Riemann sums, antiderivatives, the Fundamental Theorem of Calculus, and the Mean Value Theorem for integrals.
Blast areas and damage are calculated by a statistical computer, and the mean value theorem is evoked to the bafflement of muggle readers.
The present paper is designed to take advantage of mean value theorem rather than minimizing energy function for contours.
Compared with the existing results, the delay parameters are estimated by utilizing mean value theorem and adaptive mechanism.
Using the Mean Value Theorem and backstepping method, we propose a constructive approach for adaptive NN control design.
Yet much of the theory of calculus, including the fundamental theorem of calculus and the mean-value theorem for derivatives, is based on such approximations.
Although the mean-value theorem seemed obvious geometrically, proving the result without appeal to diagrams involved a deep examination of the properties of real numbers and continuous functions.
Mean-value theorem, theorem in mathematical analysis dealing with a type of average useful for approximations and for establishing other theorems, such as the fundamental theorem of calculus.
Mean-value theorem is introduced to overcome the difficulty arising from the pure-feedback structure in designing controller.
By the mean-value theorem, there exists such that (2.51).
