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DLMF:4.26.E9 - MaRDI portal

DLMF:4.26.E9 (Q2131)

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DLMF:4.26.E9
No description defined

    Statements

    DLMF defining formula
    ∫ 0 π sin ⁡ ( m ⁢ t ) ⁢ sin ⁡ ( n ⁢ t ) ⁢ d t = 0 , superscript subscript 0 𝜋 𝑚 𝑡 𝑛 𝑡 𝑡 0 {\displaystyle{\displaystyle\int_{0}^{\pi}\sin\left(mt\right)\sin\left(nt% \right)\mathrm{d}t=0,}}
    0 references
    constraint
    m ≠ n 𝑚 𝑛 {\displaystyle{\displaystyle m\neq n}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2addec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aedec
    0 references
    integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C4.S1.XMD2.m1dec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C4.S1.XMD3.m1dec
    0 references

    Identifiers

     
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