DLMF:1.6.E16 (Q197): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q10768 / rank
 
Normal rank
Property / Symbols used: Q10768 / qualifier
 
Defining formula:

δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

\Kroneckerdelta{\NVar{j}}{\NVar{k}}
Property / Symbols used: Q10768 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r4.m5adec
Property / Symbols used
 
Property / Symbols used: Levi-Civita symbol / rank
 
Normal rank
Property / Symbols used: Levi-Civita symbol / qualifier
 
Defining formula:

ϵ j k Levi-Civita 𝑗 𝑘 {\displaystyle{\displaystyle\epsilon_{\NVar{j}\NVar{k}\NVar{\ell}}}}

\LeviCivitasym{\NVar{j}}{\NVar{k}}{\NVar{\ell}}
Property / Symbols used: Levi-Civita symbol / qualifier
 
xml-id: C1.S6.E14.m2abdec
Property / Symbols used
 
Property / Symbols used: Q10763 / rank
 
Normal rank
Property / Symbols used: Q10763 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q10763 / qualifier
 
xml-id: C1.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10756 / rank
 
Normal rank
Property / Symbols used: Q10756 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q10756 / qualifier
 
xml-id: C1.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q10761 / rank
 
Normal rank
Property / Symbols used: Q10761 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q10761 / qualifier
 
xml-id: C1.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1dec

Latest revision as of 15:57, 1 January 2020

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DLMF:1.6.E16
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    Statements

    ϵ j k ϵ m n = δ j , m δ k , n - δ j , n δ k , m , Levi-Civita 𝑗 𝑘 Levi-Civita 𝑚 𝑛 Kronecker 𝑗 𝑚 Kronecker 𝑘 𝑛 Kronecker 𝑗 𝑛 Kronecker 𝑘 𝑚 {\displaystyle{\displaystyle\epsilon_{jk\ell}\epsilon_{\ell mn}=\delta_{j,m}% \delta_{k,n}-\delta_{j,n}\delta_{k,m},}}
    0 references
    DLMF:1.6.E16
    0 references
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    introduction.Sx4.p1.t1.r4.m5adec
    0 references
    ϵ j k Levi-Civita 𝑗 𝑘 {\displaystyle{\displaystyle\epsilon_{\NVar{j}\NVar{k}\NVar{\ell}}}}
    C1.S6.E14.m2abdec
    0 references
    j 𝑗 {\displaystyle{\displaystyle j}}
    C1.S1.XMD3.m1cdec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C1.S1.XMD4.m1adec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C1.S1.XMD6.m1dec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1dec
    0 references