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- Q282023 description "mathematischer Satz" @default.
- Q282023 description "relation mathématique entre sommes discrètes et intégrales" @default.
- Q282023 description "theorem" @default.
- Q282023 description "формула, позволяющая выражать дискретные суммы значений функции через интегралы от функции" @default.
- Q282023 description "مبرهنة" @default.
- Q282023 description "収束の遅い無限級数の和を求めるときに便利な公式" @default.
- Q282023 name "Công thức Euler–Maclaurin" @default.
- Q282023 name "Euler-Maclaurin képlet" @default.
- Q282023 name "Euler-Maclaurin-Formel" @default.
- Q282023 name "Euler-Maclaurinova formula" @default.
- Q282023 name "Euler-Maclaurins formel" @default.
- Q282023 name "Eulerův–Maclaurinův vzorec" @default.
- Q282023 name "Euler–Maclaurin formula" @default.
- Q282023 name "Formule van Euler-Maclaurin" @default.
- Q282023 name "Fórmula Euler–Maclaurin" @default.
- Q282023 name "Fórmula d'Euler-Maclaurin" @default.
- Q282023 name "Wzór Eulera-Maclaurina" @default.
- Q282023 name "formula di Eulero-Maclaurin" @default.
- Q282023 name "formule d'Euler-Maclaurin" @default.
- Q282023 name "formulo de Euler-Maclaurin" @default.
- Q282023 name "fórmula de Euler-Maclaurin" @default.
- Q282023 name "формула Ейлера — Маклорена" @default.
- Q282023 name "формула Эйлера — Маклорена" @default.
- Q282023 name "נוסחת אוילר-מקלורן" @default.
- Q282023 name "صيغة أويلر-ماكلورين" @default.
- Q282023 name "រូបមន្តអយល័រ-ម៉ាក្លូរីន" @default.
- Q282023 name "オイラーの和公式" @default.
- Q282023 name "欧拉-麦克劳林求和公式" @default.
- Q282023 name "오일러-매클로린 공식" @default.
- Q282023 type Item @default.
- Q282023 label "Công thức Euler–Maclaurin" @default.
- Q282023 label "Euler-Maclaurin képlet" @default.
- Q282023 label "Euler-Maclaurin-Formel" @default.
- Q282023 label "Euler-Maclaurinova formula" @default.
- Q282023 label "Euler-Maclaurins formel" @default.
- Q282023 label "Eulerův–Maclaurinův vzorec" @default.
- Q282023 label "Euler–Maclaurin formula" @default.
- Q282023 label "Formule van Euler-Maclaurin" @default.
- Q282023 label "Fórmula Euler–Maclaurin" @default.
- Q282023 label "Fórmula d'Euler-Maclaurin" @default.
- Q282023 label "Wzór Eulera-Maclaurina" @default.
- Q282023 label "formula di Eulero-Maclaurin" @default.
- Q282023 label "formule d'Euler-Maclaurin" @default.
- Q282023 label "formulo de Euler-Maclaurin" @default.
- Q282023 label "fórmula de Euler-Maclaurin" @default.
- Q282023 label "формула Ейлера — Маклорена" @default.
- Q282023 label "формула Эйлера — Маклорена" @default.
- Q282023 label "נוסחת אוילר-מקלורן" @default.
- Q282023 label "صيغة أويلر-ماكلورين" @default.
- Q282023 label "រូបមន្តអយល័រ-ម៉ាក្លូរីន" @default.
- Q282023 label "オイラーの和公式" @default.
- Q282023 label "欧拉-麦克劳林求和公式" @default.
- Q282023 label "오일러-매클로린 공식" @default.
- Q282023 altLabel "formula de Euler-Maclaurin" @default.
- Q282023 altLabel "формула Эйлера-Маклорена" @default.
- Q282023 altLabel "формула суммирования Эйлера — Маклорена" @default.
- Q282023 prefLabel "Công thức Euler–Maclaurin" @default.
- Q282023 prefLabel "Euler-Maclaurin képlet" @default.
- Q282023 prefLabel "Euler-Maclaurin-Formel" @default.
- Q282023 prefLabel "Euler-Maclaurinova formula" @default.
- Q282023 prefLabel "Euler-Maclaurins formel" @default.
- Q282023 prefLabel "Eulerův–Maclaurinův vzorec" @default.
- Q282023 prefLabel "Euler–Maclaurin formula" @default.
- Q282023 prefLabel "Formule van Euler-Maclaurin" @default.
- Q282023 prefLabel "Fórmula Euler–Maclaurin" @default.
- Q282023 prefLabel "Fórmula d'Euler-Maclaurin" @default.
- Q282023 prefLabel "Wzór Eulera-Maclaurina" @default.
- Q282023 prefLabel "formula di Eulero-Maclaurin" @default.
- Q282023 prefLabel "formule d'Euler-Maclaurin" @default.
- Q282023 prefLabel "formulo de Euler-Maclaurin" @default.
- Q282023 prefLabel "fórmula de Euler-Maclaurin" @default.
- Q282023 prefLabel "формула Ейлера — Маклорена" @default.
- Q282023 prefLabel "формула Эйлера — Маклорена" @default.
- Q282023 prefLabel "נוסחת אוילר-מקלורן" @default.
- Q282023 prefLabel "صيغة أويلر-ماكلورين" @default.
- Q282023 prefLabel "រូបមន្តអយល័រ-ម៉ាក្លូរីន" @default.
- Q282023 prefLabel "オイラーの和公式" @default.
- Q282023 prefLabel "欧拉-麦克劳林求和公式" @default.
- Q282023 prefLabel "오일러-매클로린 공식" @default.
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- Q282023 P6366 51074892 @default.
- Q282023 P1269 Q774123 @default.
- Q282023 P138 Q7604 @default.
- Q282023 P138 Q8755 @default.
- Q282023 P2534 "<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \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}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <munder> <mo movablelimits="false">∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> <mo>⩽<!-- ⩽ --></mo> <mi>k</mi> <mo><</mo> <mi>b</mi> </mrow> </munder> <mi>f</mi> <mo stretchy="false">(</mo> <mi>k</mi> <mo stretchy="false">)</mo> <mo>=</mo> <munderover> <mo>∫<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </munderover> <mi>f</mi> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> <mo>+</mo> <msubsup> <mrow> <mo fence="true" stretchy="true" symmetric="true"></mo> <mrow> <munderover> <mo movablelimits="false">∑<!-- ∑ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>B</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mrow> <mi>k</mi> <mo>!</mo> </mrow> </mfrac> </mrow> <msup> <mi>f</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>k</mi> <mo>−<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> </mrow> <mo>|</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msubsup> <mo>+</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>,</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo>=</mo> <mo stretchy="false">(</mo> <mo>−<!-- − --></mo> <mn>1</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>+</mo> <mn>1</mn> </mrow> </msup> <munderover> <mo>∫<!-- ∫ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mi>a</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </munderover> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>B</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> </mrow> </msub> <mo stretchy="false">(</mo> <mo fence="false" stretchy="false">{</mo> <mi>x</mi> <mo fence="false" stretchy="false">}</mo> <mo stretchy="false">)</mo> </mrow> <mrow> <mi>m</mi> <mo>!</mo> </mrow> </mfrac> </mrow> <msup> <mi>f</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">(</mo> <mi>m</mi> <mo stretchy="false">)</mo> </mrow> </msup> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mi>d</mi> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \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}</annotation> </semantics> </math>" @default.
- Q282023 P2812 "Euler-MaclaurinIntegrationFormulas" @default.
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- Q282023 P646 "/m/02mjj" @default.