DLMF:18.15.E18 (Q5712): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11242 / rank
 
Normal rank
Property / Symbols used: Q11242 / qualifier
 
Defining formula:

arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}

\asin@@{\NVar{z}}
Property / Symbols used: Q11242 / qualifier
 
xml-id: C4.S23.SS2.p1.m5adec

Revision as of 15:39, 2 January 2020

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DLMF:18.15.E18
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    Statements

    ξ = 1 2 ( x - x 2 + arcsin ( x ) ) , 𝜉 1 2 𝑥 superscript 𝑥 2 𝑥 {\displaystyle{\displaystyle\xi=\tfrac{1}{2}\left(\sqrt{x-x^{2}}+\operatorname% {arcsin}(\sqrt{x})\right),}}
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    DLMF:18.15.E18
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    0 x 1 0 𝑥 1 {\displaystyle{\displaystyle 0\leq x\leq 1}}
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    arcsin z 𝑧 {\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
    C4.S23.SS2.p1.m5adec
    0 references