DLMF:4.24.E15 (Q1809): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: general arctangent function / rank
 
Normal rank
Property / Symbols used: general arctangent function / qualifier
 
Defining formula:

Arctan z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}

\Atan@@{\NVar{z}}
Property / Symbols used: general arctangent function / qualifier
 
xml-id: C4.S23.E3.m2adec

Latest revision as of 18:39, 1 January 2020

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DLMF:4.24.E15
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    Statements

    Arctan u ± Arctan v = Arctan ( u ± v 1 u v ) , plus-or-minus multivalued-inverse-tangent 𝑢 multivalued-inverse-tangent 𝑣 multivalued-inverse-tangent plus-or-minus 𝑢 𝑣 minus-or-plus 1 𝑢 𝑣 {\displaystyle{\displaystyle\operatorname{Arctan}u\pm\operatorname{Arctan}v=% \operatorname{Arctan}\left(\frac{u\pm v}{1\mp uv}\right),}}
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    DLMF:4.24.E15
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    Arctan z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}
    C4.S23.E3.m2adec
    0 references