DLMF:36.12.E9 (Q10693): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: solutions / rank
 
Normal rank
Property / Symbols used: solutions / qualifier
 
DLMF defining formula:

t j ⁢ ( 𝐱 ) subscript 𝑡 𝑗 𝐱 {\displaystyle{\displaystyle t_{j}(\mathbf{x})}}

t_{j}(\mathbf{x})
Property / Symbols used: solutions / qualifier
 
xml-id: C36.S4.XMD1.m1bdec

Revision as of 03:03, 22 December 2021

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DLMF:36.12.E9
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    Statements

    DLMF defining formula
    P m ⁢ n ⁢ ( 𝐲 ) = ( t n ⁢ ( 𝐱 ⁢ ( 𝐲 ) ) ) K + 1 + ∑ l = m + 2 K l K + 2 ⁢ x l ⁢ ( 𝐲 ) ⁢ ( t n ⁢ ( 𝐱 ⁢ ( 𝐲 ) ) ) l - 1 , subscript 𝑃 𝑚 𝑛 𝐲 superscript subscript 𝑡 𝑛 𝐱 𝐲 𝐾 1 superscript subscript 𝑙 𝑚 2 𝐾 𝑙 𝐾 2 subscript 𝑥 𝑙 𝐲 superscript subscript 𝑡 𝑛 𝐱 𝐲 𝑙 1 {\displaystyle{\displaystyle P_{mn}(\mathbf{y})=(t_{n}(\mathbf{x}(\mathbf{y}))% )^{K+1}+\sum_{l=m+2}^{K}\frac{l}{K+2}x_{l}(\mathbf{y})(t_{n}(\mathbf{x}(% \mathbf{y})))^{l-1},}}
    0 references
    Symbols used
    integer
    DLMF defining formula
    l 𝑙 {\displaystyle{\displaystyle l}}
    xml-id
    C36.S1.XMD1.m1adec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C36.S1.XMD2.m1cdec
    0 references
    integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C36.S1.XMD3.m1adec
    0 references
    codimension
    DLMF defining formula
    K 𝐾 {\displaystyle{\displaystyle K}}
    xml-id
    C36.S1.XMD7.m1edec
    0 references
    Q12766
    DLMF defining formula
    𝐱 ⁢ ( 𝐲 ) 𝐱 𝐲 {\displaystyle{\displaystyle\mathbf{x}(\mathbf{y})}}
    xml-id
    C36.S12.XMD6.m1adec
    0 references
    solutions
    DLMF defining formula
    t j ⁢ ( 𝐱 ) subscript 𝑡 𝑗 𝐱 {\displaystyle{\displaystyle t_{j}(\mathbf{x})}}
    xml-id
    C36.S4.XMD1.m1bdec
    0 references

    Identifiers

     
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