DLMF:12.4.E1 (Q4109): 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: Q11320 / rank
 
Normal rank
Property / Symbols used: Q11320 / qualifier
 
Defining formula:

U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}

\paraU@{\NVar{a}}{\NVar{z}}
Property / Symbols used: Q11320 / qualifier
 
xml-id: C12.S2.SS1.p1.m1adec
Property / Symbols used
 
Property / Symbols used: Q11513 / rank
 
Normal rank
Property / Symbols used: Q11513 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11513 / qualifier
 
xml-id: C12.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11516 / rank
 
Normal rank
Property / Symbols used: Q11516 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11516 / qualifier
 
xml-id: C12.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: solution (locally) / rank
 
Normal rank
Property / Symbols used: solution (locally) / qualifier
 
Defining formula:

u 1 ( a , z ) subscript 𝑢 1 𝑎 𝑧 {\displaystyle{\displaystyle u_{1}(a,z)}}

u_{1}(a,z)
Property / Symbols used: solution (locally) / qualifier
 
xml-id: C12.S4.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: solution (locally) / rank
 
Normal rank
Property / Symbols used: solution (locally) / qualifier
 
Defining formula:

u 2 ( a , z ) subscript 𝑢 2 𝑎 𝑧 {\displaystyle{\displaystyle u_{2}(a,z)}}

u_{2}(a,z)
Property / Symbols used: solution (locally) / qualifier
 
xml-id: C12.S4.XMD2.m1dec

Latest revision as of 15:07, 2 January 2020

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DLMF:12.4.E1
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    Statements

    U ( a , z ) = U ( a , 0 ) u 1 ( a , z ) + U ( a , 0 ) u 2 ( a , z ) , parabolic-U 𝑎 𝑧 parabolic-U 𝑎 0 subscript 𝑢 1 𝑎 𝑧 diffop parabolic-U 1 𝑎 0 subscript 𝑢 2 𝑎 𝑧 {\displaystyle{\displaystyle U\left(a,z\right)=U\left(a,0\right)u_{1}(a,z)+U'% \left(a,0\right)u_{2}(a,z),}}
    0 references
    DLMF:12.4.E1
    0 references
    U ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}}
    C12.S2.SS1.p1.m1adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C12.S1.XMD3.m1dec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C12.S1.XMD6.m1dec
    0 references
    u 1 ( a , z ) subscript 𝑢 1 𝑎 𝑧 {\displaystyle{\displaystyle u_{1}(a,z)}}
    C12.S4.XMD1.m1dec
    0 references
    u 2 ( a , z ) subscript 𝑢 2 𝑎 𝑧 {\displaystyle{\displaystyle u_{2}(a,z)}}
    C12.S4.XMD2.m1dec
    0 references