the mean value theorem (in calculus) oor Sjinees

the mean value theorem (in calculus)

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平均值定理

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He introduced and developed two fundamental methods, which could be briefly described as 'the bilinear form technique' and 'the mean value theorem'.
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His work contains mathematical objects equivalent or approximately equivalent to infinitesimals, derivatives, the mean value theorem and the derivative of the sine function.
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Bombieri applied his improved large sieve method to prove what is now called "Bombieri's mean value theorem", which concerns the distribution of primes in arithmetic progressions.
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In 1939 he published On numerical bounds in Schottky 's theorem in the Bulletin of the American Mathematical Society, and in the following year published On the mean values of an analytic function in the same journal.
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Chebyshev's Theorem Observation - The proportion of values from a data set that will fall within k standard deviations of the mean will be at least 1 - 1/k2, where k is any number greater than 1.
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