Euler–Maclaurin formula
theorem
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Euler–Maclaurin formula
Summary
Euler–Maclaurin formula is a formula[1]. It ranks in the top 5% of formula entities by monthly Wikipedia readership (296 views/month).[2]
Key Facts
- Euler–Maclaurin formula's instance of is recorded as formula[3].
- Euler–Maclaurin formula's instance of is recorded as theorem[4].
- Leonhard Euler is named after Euler–Maclaurin formula[5].
- Colin MacLaurin is named after Euler–Maclaurin formula[6].
- Euler–Maclaurin formula's Freebase ID is recorded as /m/02mjj[7].
- Euler–Maclaurin formula's defining formula is recorded as \sum\limits_{a \leqslant k <b}f(k) = \int\limits_a^b f(x)dx + \left.\sum\limits_{k=1}^m \frac{B_k}{k!}f^{(k-1)}(x)\right|a^b + R_m, R_m=(-1)^{m+1}\int\limits_a^b\frac{B_m({x})}{m!}f^{(m)}(x)dx<sup id="cite-C15" class="cite-ref" title="Euler–Maclaurin formula — defining formula (P2534): \sum\limits{a \leqslant k
- Euler–Maclaurin formula's studied by is recorded as approximation theory[9].
- Euler–Maclaurin formula's MathWorld ID is recorded as Euler-MaclaurinIntegrationFormulas[10].
- Euler–Maclaurin formula's maintained by WikiProject is recorded as WikiProject Mathematics[11].
- Euler–Maclaurin formula's Microsoft Academic ID is recorded as 51074892[12].
Why It Matters
Euler–Maclaurin formula ranks in the top 5% of formula entities by monthly Wikipedia readership (296 views/month).[2] It has Wikipedia articles in 19 language editions, a strong signal of global cultural recognition.[13] It is known by 3 alternative names across languages and contexts.[14]