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Formula:6189

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Digital Library of Mathematical Functions ID 18.2.E3

∑ x ∈ X p n ⁢ ( x ) ⁢ p m ⁢ ( x ) ⁢ w x = 0 , subscript 𝑥 𝑋 subscript 𝑝 𝑛 𝑥 subscript 𝑝 𝑚 𝑥 subscript 𝑤 𝑥 0 {\displaystyle{\displaystyle\sum_{x\in X}p_{n}(x)p_{m}(x)w_{x}=0,}}


Constraint(s)

n , m = 0 , 1 , … , N ; n ≠ m formulae-sequence 𝑛 𝑚 0 1 … 𝑁 𝑛 𝑚 {\displaystyle{\displaystyle n,m=0,1,\ldots,N;n\neq m}}

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • w x subscript 𝑤 𝑥 {\displaystyle{\displaystyle w_{x}}} : weights
  • X 𝑋 {\displaystyle{\displaystyle X}} : subset of R
  • m 𝑚 {\displaystyle{\displaystyle m}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • N 𝑁 {\displaystyle{\displaystyle N}} : positive integer
  • p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}} : polynomial of degree n
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

Resources that cite this formula

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This page was last edited on 28 January 2024, at 11:30.
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