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Formula:2907

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Digital Library of Mathematical Functions ID 5.20.E4

W = - ∑ 1 ≤ ℓ < j ≤ n ln ⁡ | e i ⁢ θ ℓ - e i ⁢ θ j | , 𝑊 subscript 1 ℓ 𝑗 𝑛 superscript 𝑒 𝑖 subscript 𝜃 ℓ superscript 𝑒 𝑖 subscript 𝜃 𝑗 {\displaystyle{\displaystyle W=-\sum_{1\leq\ell<j\leq n}\ln|e^{i\theta_{\ell}}% -e^{i\theta_{j}}|,}}


Constraint(s)

Symbols List

  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • W 𝑊 {\displaystyle{\displaystyle W}} : potential energy
  •  Edit this on Wikidata

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