DLMF:4.32.E4 (Q1857): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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
 
Defining formula:

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 19:06, 1 January 2020

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DLMF:4.32.E4
No description defined

    Statements

    Defining formula
    arctan ⁡ x ≤ 1 2 ⁢ π ⁢ tanh ⁡ x , 𝑥 1 2 𝜋 𝑥 {\displaystyle{\displaystyle\operatorname{arctan}x\leq\tfrac{1}{2}\pi\tanh x,}}
    0 references
    DLMF id
    DLMF:4.32.E4
    0 references
    constraint
    x ≥ 0 𝑥 0 {\displaystyle{\displaystyle x\geq 0}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
     
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