DLMF:6.16.E3 (Q2312): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
test:

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11307 / rank
 
Normal rank
Property / Symbols used: Q11307 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11307 / qualifier
 
xml-id: C6.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11308 / rank
 
Normal rank
Property / Symbols used: Q11308 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11308 / qualifier
 
xml-id: C6.S1.XMD3.m1adec

Latest revision as of 00:35, 2 January 2020

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DLMF:6.16.E3
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    Statements

    R n ( x ) = 1 2 0 x ( 1 sin t - 1 t ) sin ( 2 n t ) d t . subscript 𝑅 𝑛 𝑥 1 2 superscript subscript 0 𝑥 1 𝑡 1 𝑡 2 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle R_{n}(x)=\frac{1}{2}\int_{0}^{x}\left(\frac{1}{% \sin t}-\frac{1}{t}\right)\sin\left(2nt\right)\mathrm{d}t.}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aadec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2abdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C6.S1.XMD1.m1bdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C6.S1.XMD3.m1adec
    0 references