nodal ♦ One matching page ♦ SearchAdvancedHelp Your search matched, but the results seem poor. See Search Help for suggestions. (0.001 seconds) One matching page 1: 3.3 Interpolation … ►Here the prime signifies that the factor for j = k is to be omitted, δ k , j is the Kronecker symbol, and ω n + 1 ( z ) is the nodal polynomial ► 3.3.3 ω n + 1 ( z ) = ∏ k = 0 n ( z − z k ) , ⓘ Defines: ω n + 1 ( z ) : nodal polynomial (locally) Symbols: z k : nodes of function Referenced by: §3.3(iii), Erratum (V1.1.3) for Subsection 3.3(i) Permalink: http://dlmf.nist.gov/3.3.E3 Encodings: pMML, png, TeX See also: Annotations for §3.3(i), §3.3 and Ch.3 … ► 3.3.3_1 ω ~ k = 1 ω n + 1 ′ ( z k ) = ∏ ′ j = 0 ′ n ′ 1 z k − z j . ⓘ Symbols: z k : nodes of function and ω n + 1 ( z ) : nodal polynomial Referenced by: §3.3(i), Erratum (V1.1.3) for Additions Permalink: http://dlmf.nist.gov/3.3.E3_1 Encodings: pMML, png, TeX Addition (effective with 1.1.3): This equation was added. See also: Annotations for §3.3(i), §3.3 and Ch.3 … ► 3.3.3_2 1 = ∑ k = 0 n ℓ k ( z ) = ω n + 1 ( z ) ∑ k = 0 n ω ~ k z − z k , ⓘ Symbols: z k : nodes of function, ℓ k ( z ) : Lagrange interpolation polynomial and ω n + 1 ( z ) : nodal polynomial Referenced by: §3.3(i), Erratum (V1.1.3) for Additions Permalink: http://dlmf.nist.gov/3.3.E3_2 Encodings: pMML, png, TeX Addition (effective with 1.1.3): This equation was added. See also: Annotations for §3.3(i), §3.3 and Ch.3 … ► 3.3.5 R n ( x ) = f ( n + 1 ) ( ξ ) ( n + 1 ) ! ω n + 1 ( x ) , ⓘ Defines: R n ( x ) : remainder (locally) Symbols: ! : factorial (as in n ! ), f ( z ) : function and ω n + 1 ( z ) : nodal polynomial A&S Ref: 25.2.3 (modification of) Permalink: http://dlmf.nist.gov/3.3.E5 Encodings: pMML, png, TeX See also: Annotations for §3.3(i), §3.3 and Ch.3 …