DLMF:10.17.E7 (Q3176): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

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

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2abdec

Revision as of 15:29, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.17.E7
No description defined

    Statements

    Defining formula
    z 1 2 = exp ⁡ ( 1 2 ⁢ ln ⁡ | z | + 1 2 ⁢ i ⁢ ph ⁡ z ) . superscript 𝑧 1 2 1 2 𝑧 1 2 𝑖 phase 𝑧 {\displaystyle{\displaystyle z^{\frac{1}{2}}=\exp\left(\tfrac{1}{2}\ln|z|+% \tfrac{1}{2}i\operatorname{ph}z\right).}}
    0 references
    DLMF id
    DLMF:10.17.E7
    0 references
    Symbols used
    exponential function
    Defining formula
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3176&oldid=58276"