DLMF:19.30.E12 (Q6687): Difference between revisions

From DRMF

Jump to navigation Jump to search

← Older edit

Revision as of 14:23, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:23, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
(4 intermediate revisions by the same user not shown)
		Property / Symbols used
			Q11242
		Property / Symbols used: Q11242 / rank
			Normal rank
		Property / Symbols used: Q11242 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}$ \asin@@{\NVar{z}}
		Property / Symbols used: Q11242 / qualifier
			xml-id: C4.S23.SS2.p1.m5adec
		Property / Symbols used
			tangent function
		Property / Symbols used: tangent function / rank
			Normal rank
		Property / Symbols used: tangent function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tan\NVar{z}}}$ \tan@@{\NVar{z}}
		Property / Symbols used: tangent function / qualifier
			xml-id: C4.S14.E4.m2adec
		Property / Symbols used
			Q11807
		Property / Symbols used: Q11807 / rank
			Normal rank
		Property / Symbols used: Q11807 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\phi}}$ \phi
		Property / Symbols used: Q11807 / qualifier
			xml-id: C19.S1.XMD4.m1edec
		Property / Symbols used
			Q11919
		Property / Symbols used: Q11919 / rank
			Normal rank
		Property / Symbols used: Q11919 / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: Q11919 / qualifier
			xml-id: C19.S30.XMD5.m1adec
		Property / Symbols used
			Q11920
		Property / Symbols used: Q11920 / rank
			Normal rank
		Property / Symbols used: Q11920 / qualifier
			Defining formula: ${\displaystyle{\displaystyle s}}$ s
		Property / Symbols used: Q11920 / qualifier
			xml-id: C19.S30.XMD6.m1adec

---

Latest revision as of 14:23, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:19.30.E12	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle s=aF\left(\phi,1/\sqrt{2}\right),}}$

0 references

DLMF id

DLMF:19.30.E12

0 references

constraint

${\displaystyle{\displaystyle\phi=\operatorname{arcsin}\sqrt{2/(q+1)}=\operatorname{arccos}\left(\tan\theta\right)}}$

0 references

Symbols used

Legendre’s incomplete elliptic integral of the first kind

Defining formula

${\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}$

xml-id

C19.S2.E4.m2aadec

0 references

Q11208

Defining formula

${\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}$

xml-id

C4.S23.SS2.p1.m6adec

0 references

Q11242

Defining formula

${\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}$

xml-id

C4.S23.SS2.p1.m5adec

0 references

tangent function

Defining formula

${\displaystyle{\displaystyle\tan\NVar{z}}}$

xml-id

C4.S14.E4.m2adec

0 references

Q11807

Defining formula

${\displaystyle{\displaystyle\phi}}$

xml-id

C19.S1.XMD4.m1edec

0 references

Q11919

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C19.S30.XMD5.m1adec

0 references

Q11920

Defining formula

${\displaystyle{\displaystyle s}}$

xml-id

C19.S30.XMD6.m1adec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6687&oldid=46651"