单词 mean value theorem 释义 BETA

Examples ofmean value theorem

Dictionary> Examples ofmean value theoremmean value theoremisn’t in the Cambridge Dictionary yet. You can help!Add a definitionIt can be generalized to more variables according by themeanvaluetheoremfor divided differences.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Since x 0 for themeanvaluetheoremto work then we may conclude that f(x) - g(x) 0.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.He also refined the secondmeanvaluetheoremof integration.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.By applying themeanvaluetheorem, the operator can deduce that the vehicle's speed must equal its average speed at some time between the measurements.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.In practice, what themeanvaluetheoremdoes is control a function in terms of its derivative.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.From themeanvaluetheorem, we know that the vehicle's speed must equal its average speed at some time between the measurements.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.If is additionally assumed to be "continuously" differentiable, then the claim can be proved by applying themeanvaluetheoremand converting the sum into an integral.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Therefore, has to be constant on, because otherwise we would obtain a contradiction to the meanvaluetheorem(applied separately to the real and imaginary part in the complex-valued case).FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.These order-theoretic properties lead to a number of important results in real analysis, such as the monotone convergence theorem, the intermediate value theorem and themeanvaluetheorem.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Next, we employ themeanvaluetheorem.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.Because acceleration also varies with time, however, the extendedmeanvaluetheoremmust also be extended to the second time derivative to obtain the correct displacement.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.He worked on functional analysis, harmonic analysis, ergodic theory, mean value theorems, and numerical integration.FromWikipediaThis example is from Wikipedia and may be reused under a CC BY-SA license.

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