DLMF:4.38.E10 (Q1960): Difference between revisions

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z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Re z\gtrless 0}}

\realpart@@{z}\gtrless 0
Property / constraint: z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Re z\gtrless 0}} / rank
 
Normal rank

Revision as of 17:03, 30 December 2019

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DLMF:4.38.E10
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    d d z arccosh z = ± ( z 2 - 1 ) - 1 / 2 , derivative 𝑧 hyperbolic-inverse-cosine 𝑧 plus-or-minus superscript superscript 𝑧 2 1 1 2 {\displaystyle{\displaystyle\frac{\mathrm{d}}{\mathrm{d}z}\operatorname{% arccosh}z=\pm(z^{2}-1)^{-1/2},}}
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    DLMF:4.38.E10
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    z 0 greater-than-or-less-than 𝑧 0 {\displaystyle{\displaystyle\Re z\gtrless 0}}
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