DLMF:3.7.E18 (Q1353): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: order not exceeding / rank
 
Normal rank
Property / Symbols used: order not exceeding / qualifier
 
test:

O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

\bigO@{\NVar{x}}
Property / Symbols used: order not exceeding / qualifier
 
xml-id: C2.S1.E3.m2adec
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.m1gdec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
test:

h ( z ) 𝑧 {\displaystyle{\displaystyle h(z)}}

h(z)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C3.S7.XMD4.m1edec

Latest revision as of 16:56, 1 January 2020

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DLMF:3.7.E18
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    Statements

    w n + 1 = w n + 1 6 ( k 1 + 2 k 2 + 2 k 3 + k 4 ) + O ( h 5 ) , subscript 𝑤 𝑛 1 subscript 𝑤 𝑛 1 6 subscript 𝑘 1 2 subscript 𝑘 2 2 subscript 𝑘 3 subscript 𝑘 4 Big-O superscript 5 {\displaystyle{\displaystyle w_{n+1}=w_{n}+\tfrac{1}{6}(k_{1}+2k_{2}+2k_{3}+k_% {4})+O\left(h^{5}\right),}}
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    O ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    C2.S1.E3.m2adec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C3.S7.XMD1.m1gdec
    0 references
    h ( z ) 𝑧 {\displaystyle{\displaystyle h(z)}}
    C3.S7.XMD4.m1edec
    0 references