DLMF:7.8.E2 (Q2388): Difference between revisions

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Property / constraint
 

x 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}

x\geq 0
Property / constraint: x 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}} / rank
 
Normal rank

Revision as of 16:08, 30 December 2019

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DLMF:7.8.E2
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    Statements

    1 x + x 2 + 2 < 𝖬 ( x ) 1 x + x 2 + ( 4 / π ) , 1 𝑥 superscript 𝑥 2 2 Mills-ratio 𝑥 1 𝑥 superscript 𝑥 2 4 𝜋 {\displaystyle{\displaystyle\frac{1}{x+\sqrt{x^{2}+2}}<\mathsf{M}\left(x\right% )\leq\frac{1}{x+\sqrt{x^{2}+(4/\pi)}},}}
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    x 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}
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