DLMF:4.4.E16 (Q1550): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10817 / rank
 
Normal rank
Property / Symbols used: Q10817 / qualifier
 
Defining formula:

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

\phase
Property / Symbols used: Q10817 / qualifier
 
xml-id: C1.S9.E7.m1adec

Revision as of 18:06, 1 January 2020

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DLMF:4.4.E16
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    Statements

    Defining formula
    lim z → ∞ ⁡ z a ⁢ e - z = 0 , subscript → 𝑧 superscript 𝑧 𝑎 superscript 𝑒 𝑧 0 {\displaystyle{\displaystyle\lim_{z\to\infty}z^{a}e^{-z}=0,}}
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    DLMF id
    DLMF:4.4.E16
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    comment
    Warning: Falling back to standard tex;
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    constraint
    | ph ⁡ z | ≤ 1 2 ⁢ π - δ phase 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
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    | ph ⁡ z | ≤ 1 2 ⁢ π - δ ph 𝑧 1 2 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{2}\pi-\delta}}
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    < 1 2 ⁢ π absent 1 2 𝜋 {\displaystyle{\displaystyle<\tfrac{1}{2}\pi}}
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    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2ajdec
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    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2ajdec
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    Q10817
    Defining formula
    ph phase {\displaystyle{\displaystyle\operatorname{ph}}}
    xml-id
    C1.S9.E7.m1adec
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