DLMF:36.2.E4 (Q9839): Difference between revisions

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

exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}

\exp@@{\NVar{z}}
Property / Symbols used: exponential function / qualifier
 
xml-id: C4.S2.E19.m2adec

Revision as of 15:03, 2 January 2020

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DLMF:36.2.E4
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    Statements

    Defining formula
    Ψ K ⁡ ( 𝐱 ) = ∫ - ∞ ∞ exp ⁡ ( i ⁢ Φ K ⁡ ( t ; 𝐱 ) ) ⁢ d t . canonical-integral 𝐾 𝐱 superscript subscript 𝑖 cuspoid-catastrophe 𝐾 𝑡 𝐱 𝑡 {\displaystyle{\displaystyle\Psi_{K}\left(\mathbf{x}\right)=\int_{-\infty}^{% \infty}\exp\left(i\Phi_{K}\left(t;\mathbf{x}\right)\right)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:36.2.E4
    0 references
    Symbols used
    cuspoid catastrophe of codimension $$K$$
    Defining formula
    Φ K ⁡ ( t ; 𝐱 ) cuspoid-catastrophe 𝐾 𝑡 𝐱 {\displaystyle{\displaystyle\Phi_{\NVar{K}}\left(\NVar{t};\NVar{\mathbf{x}}% \right)}}
    xml-id
    C36.S2.E1.m2aadec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
     
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