Mathematical Research Data Initiative
Main page
Recent changes
Random page
SPARQL
MaRDI@GitHub
Special pages
In other projects
MaRDI portal item
Discussion
View source
View history
Purge
English
Log in

3.5.E16

From MaRDI portal
Formula:1225
Jump to:navigation, search


MaRDI QIDQ1225

  • Label: 3.5.E16


Digital Library of Mathematical Functions ID 3.5.E16

w k = g k n ⁢ ( 1 - ∑ j = 1 ⌊ n / 2 ⌋ b j 4 ⁢ j 2 - 1 ⁢ cos ⁡ ( 2 ⁢ j ⁢ k ⁢ π / n ) ) , subscript 𝑤 𝑘 subscript 𝑔 𝑘 𝑛 1 superscript subscript 𝑗 1 𝑛 2 subscript 𝑏 𝑗 4 superscript 𝑗 2 1 2 𝑗 𝑘 𝑛 {\displaystyle{\displaystyle w_{k}=\frac{g_{k}}{n}\left(1-\sum_{j=1}^{\left% \lfloor n/2\right\rfloor}\frac{b_{j}}{4j^{2}-1}\cos\left(2jk\pi/n\right)\right% ),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}} : cosine function
  • ⌊ x ⌋ 𝑥 {\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}} :
  • w k subscript 𝑤 𝑘 {\displaystyle{\displaystyle w_{k}}} : weights
  • g k subscript 𝑔 𝑘 {\displaystyle{\displaystyle g_{k}}} : coefficient (locally)
  • b k subscript 𝑏 𝑘 {\displaystyle{\displaystyle b_{k}}} : coefficient (locally)
  •  Edit this on Wikidata

Resources that cite this formula

No records found.

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Formula:1225&oldid=24164338"
Tools
What links here
Related changes
Printable version
Permanent link
Page information
This page was last edited on 3 March 2024, at 01:39.
Privacy policy
About MaRDI portal
Disclaimers
Imprint
Powered by MediaWiki