Computer Oriented Statistical Techniques

A bounded function \( f:[a, b]\to \mathbb{R} \) is Riemann integrable iff for every \( \epsilon>0 \) there exist a partition \( P_\epsilon \) of [a, b] such that \( U(f, P_\epsilon)-L(f, P_\epsilon)<\epsilon. \)

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Every continuous function f defined on \([a, b]\) is Riemann integrable

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A bounded function \( f:[a, b]\to \mathbb{R} \) is Riemann integrable iff for every \( \epsilon>0 \) there exist a partition \( P_\epsilon \) of [a, b] such that \( U(f, P_\epsilon)-L(f, P_\epsilon)<\epsilon. \)

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Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

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A bounded function \( f:[a, b]\to \mathbb{R} \) is Riemann integrable iff for every \( \epsilon>0 \) there exist a partition \( P_\epsilon \) of [a, b] such that \( U(f, P_\epsilon)-L(f, P_\epsilon)<\epsilon. \)

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