DLMF:3.7.E5 (Q1335): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10777 / rank
 
Normal rank
Property / Symbols used: Q10777 / qualifier
 
test:

( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}

(\NVar{a},\NVar{b})
Property / Symbols used: Q10777 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r29.m6adec
Property / Symbols used
 
Property / Symbols used: Q11188 / rank
 
Normal rank
Property / Symbols used: Q11188 / qualifier
 
test:

w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q11188 / qualifier
 
xml-id: C3.S7.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: matrix (locally) / rank
 
Normal rank
Property / Symbols used: matrix (locally) / qualifier
 
test:

𝐀 𝐀 {\displaystyle{\displaystyle\mathbf{A}}}

\mathbf{A}
Property / Symbols used: matrix (locally) / qualifier
 
xml-id: C3.S7.XMD12.m1dec

Latest revision as of 16:56, 1 January 2020

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DLMF:3.7.E5
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    Statements

    test
    [ w ⁢ ( z j + 1 ) w ′ ⁢ ( z j + 1 ) ] = 𝐀 ⁢ ( τ j , z j ) ⁢ [ w ⁢ ( z j ) w ′ ⁢ ( z j ) ] + 𝐛 ⁢ ( τ j , z j ) , 𝑤 subscript 𝑧 𝑗 1 superscript 𝑤 ′ subscript 𝑧 𝑗 1 𝐀 subscript 𝜏 𝑗 subscript 𝑧 𝑗 𝑤 subscript 𝑧 𝑗 superscript 𝑤 ′ subscript 𝑧 𝑗 𝐛 subscript 𝜏 𝑗 subscript 𝑧 𝑗 {\displaystyle{\displaystyle\begin{bmatrix}w(z_{j+1})\\ w^{\prime}(z_{j+1})\end{bmatrix}=\mathbf{A}(\tau_{j},z_{j})\begin{bmatrix}w(z_% {j})\\ w^{\prime}(z_{j})\end{bmatrix}+\mathbf{b}(\tau_{j},z_{j}),}}
    0 references
    DLMF id
    DLMF:3.7.E5
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q10777
    test
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    xml-id
    introduction.Sx4.p1.t1.r29.m6adec
    0 references
    Q11188
    test
    w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    xml-id
    C3.S7.XMD1.m1bdec
    0 references
    matrix (locally)
    test
    𝐀 𝐀 {\displaystyle{\displaystyle\mathbf{A}}}
    xml-id
    C3.S7.XMD12.m1dec
    0 references
     
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