DLMF:4.37.E2 (Q1921): Difference between revisions

From DRMF
Jump to navigation Jump to search
Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols defined
 
Property / Symbols defined: general inverse hyperbolic cosine function / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aadec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3aadec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1adec

Latest revision as of 19:14, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.37.E2
No description defined

    Statements

    Arccosh z = 1 z d t ( t 2 - 1 ) 1 / 2 , multivalued-hyperbolic-inverse-cosine 𝑧 superscript subscript 1 𝑧 𝑡 superscript superscript 𝑡 2 1 1 2 {\displaystyle{\displaystyle\operatorname{Arccosh}z=\int_{1}^{z}\frac{\mathrm{% d}t}{(t^{2}-1)^{1/2}},}}
    0 references
    DLMF:4.37.E2
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aadec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1adec
    0 references