Euler-Maclaurin formula
= Euler-Maclaurin formula
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= Euler–Maclaurin
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= Euler-Maclaurin expansion
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The Euler-Maclaurin formula relates a sum to an <integral>, endpoint corrections, and terms involving <Bernoulli numbers> and endpoint <derivatives>. Truncating after finitely many derivative corrections gives a remainder term that must be controlled; this supports accurate estimates of long sums.