DLMF:1.10.E3 (Q358): 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 / constraint
 

| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2adec
Property / Symbols used
 
Property / Symbols used: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1bdec

Latest revision as of 16:11, 1 January 2020

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DLMF:1.10.E3
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    Statements

    ln ( 1 + z ) = z - z 2 2 + z 3 3 - , 1 𝑧 𝑧 superscript 𝑧 2 2 superscript 𝑧 3 3 {\displaystyle{\displaystyle\ln\left(1+z\right)=z-\frac{z^{2}}{2}+\frac{z^{3}}% {3}-\cdots,}}
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    DLMF:1.10.E3
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1bdec
    0 references