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

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Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
test:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2adec

Revision as of 00:46, 2 January 2020

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DLMF:7.8.E2
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    Statements

    test
    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)}},}}
    0 references
    DLMF id
    DLMF:7.8.E2
    0 references
    constraint
    x ≥ 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}
    0 references
    Symbols used
    Mills’ ratio
    test
    𝖬 ⁡ ( x ) Mills-ratio 𝑥 {\displaystyle{\displaystyle\mathsf{M}\left(\NVar{x}\right)}}
    xml-id
    C7.S8.E1.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
     
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