DLMF:18.15.E18 (Q6409)

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DLMF:18.15.E18
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    Statements

    DLMF defining formula
    ΞΎ = 1 2 ⁒ ( x - x 2 + arcsin ⁑ ( x ) ) , πœ‰ 1 2 π‘₯ superscript π‘₯ 2 π‘₯ {\displaystyle{\displaystyle\xi=\tfrac{1}{2}\left(\sqrt{x-x^{2}}+\operatorname% {arcsin}(\sqrt{x})\right),}}
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    Symbols defined
    18.15.E18
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    constraint
    0 ≀ x ≀ 1 0 π‘₯ 1 {\displaystyle{\displaystyle 0\leq x\leq 1}}
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    Symbols used
    Q11213
    DLMF defining formula
    arcsin ⁑ z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m5adec
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    real variable
    DLMF defining formula
    x π‘₯ {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1cdec
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    Identifiers

     
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