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Formula:9740

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Digital Library of Mathematical Functions ID 31.9.E5

∫ ℒ 1 ∫ ℒ 2 ρ ⁢ ( s , t ) ⁢ w 1 ⁢ ( s ) ⁢ w 1 ⁢ ( t ) ⁢ w 2 ⁢ ( s ) ⁢ w 2 ⁢ ( t ) ⁢ d s ⁢ d t = 0 , subscript subscript ℒ 1 subscript subscript ℒ 2 𝜌 𝑠 𝑡 subscript 𝑤 1 𝑠 subscript 𝑤 1 𝑡 subscript 𝑤 2 𝑠 subscript 𝑤 2 𝑡 𝑠 𝑡 0 {\displaystyle{\displaystyle\int_{\mathcal{L}_{1}}\int_{\mathcal{L}_{2}}\rho(s% ,t)w_{1}(s)w_{1}(t)w_{2}(s)w_{2}(t)\mathrm{d}s\mathrm{d}t=0,}}


Constraint(s)

| n 1 - n 2 | + | m 1 - m 2 | ≠ 0 subscript 𝑛 1 subscript 𝑛 2 subscript 𝑚 1 subscript 𝑚 2 0 {\displaystyle{\displaystyle|n_{1}-n_{2}|+|m_{1}-m_{2}|\neq 0}}

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • ρ ⁢ ( s , t ) 𝜌 𝑠 𝑡 {\displaystyle{\displaystyle\rho(s,t)}} : weight function (locally)
  • ℒ 1 subscript ℒ 1 {\displaystyle{\displaystyle\mathcal{L}_{1}}} : integration paths
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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