DLMF:4.23.E33 (Q1785): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older edit
imported>Admin
imported>Admin
 
(4 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2amdec
Property / Symbols used
 
Property / Symbols used: Q10816 / rank
 
Normal rank
Property / Symbols used: Q10816 / qualifier
 
test:

arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

\atan@@{\NVar{z}}
Property / Symbols used: Q10816 / qualifier
 
xml-id: C4.S23.SS2.p1.m7afdec
Property / Symbols used
 
Property / Symbols used: general arctangent function / rank
 
Normal rank
Property / Symbols used: general arctangent function / qualifier
 
test:

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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11219 / rank
 
Normal rank
Property / Symbols used: Q11219 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11219 / qualifier
 
xml-id: C4.S1.XMD1.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1abdec

Latest revision as of 17:35, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.23.E33
No description defined

    Statements

    test
    w = Arctan ⁡ z = arctan ⁡ z + k ⁢ π , 𝑤 multivalued-inverse-tangent 𝑧 𝑧 𝑘 𝜋 {\displaystyle{\displaystyle w=\operatorname{Arctan}z=\operatorname{arctan}z+k% \pi,}}
    0 references
    DLMF id
    DLMF:4.23.E33
    0 references
    constraint
    z ≠ ± i 𝑧 plus-or-minus imaginary-unit {\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aldec
    0 references
    imaginary unit
    test
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2amdec
    0 references
    Q10816
    test
    arctan ⁡ z 𝑧 {\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
    xml-id
    C4.S23.SS2.p1.m7afdec
    0 references
    general arctangent function
    test
    Arctan ⁡ z multivalued-inverse-tangent 𝑧 {\displaystyle{\displaystyle\operatorname{Arctan}\NVar{z}}}
    xml-id
    C4.S23.E3.m2abdec
    0 references
    Q11219
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C4.S1.XMD1.m1bdec
    0 references
    Q11217
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C4.S1.XMD8.m1abdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q1785&oldid=8412"