Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Create a new EntitySchema
Merge two items
In other projects
Discussion
View source
View history
Purge
English
Log in

Formula:3547

From MaRDI portal
Jump to:navigation, search

Digital Library of Mathematical Functions ID 9.8.E15

N 2 ⁡ ( x ) = M ′ 2 ⁡ ( x ) + M 2 ⁡ ( x ) ⁢ θ ′ 2 ⁡ ( x ) = M ′ 2 ⁢ ( x ) + π - 2 ⁢ M - 2 ⁡ ( x ) , modulus-Airy-N 2 𝑥 diffop modulus-Airy-M 1 2 𝑥 modulus-Airy-M 2 𝑥 diffop phase-Airy-Theta 1 2 𝑥 diffop modulus-Airy-M 1 2 𝑥 superscript 𝜋 2 modulus-Airy-M 2 𝑥 {\displaystyle{\displaystyle{N^{2}}\left(x\right)={M'^{2}}\left(x\right)+{M^{2% }}\left(x\right){\theta'^{2}}\left(x\right)={M'^{2}}(x)+\pi^{-2}{M^{-2}}\left(% x\right),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • M ⁡ ( z ) modulus-Airy-M 𝑧 {\displaystyle{\displaystyle M\left(\NVar{z}\right)}} : Airy modulus function
  • N ⁡ ( z ) modulus-Airy-N 𝑧 {\displaystyle{\displaystyle N\left(\NVar{z}\right)}} : Airy modulus function
  • θ ⁡ ( z ) phase-Airy-Theta 𝑧 {\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}} : Airy phase function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:3547&oldid=24165548"
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item
This page was last edited on 3 March 2024, at 02:50.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki