Word Pronunciation & Dictionary

christoffel-darboux formula

Word Rarity Very rare

Frequency: Zipf frequency 1.12 in modern English

Syllables: christof-fel--dar-boux -for-mu-la
IPA

51

Scrabble Score

25

Letters

8

Syllables

16

Unique Chars

Meaning

name

An identity for a sequence of orthogonal polynomials: ∑ⱼ₌₀ⁿ(f_j(x)f_j(y))/(h_j)=(k_n)/(h_nk_n+1)(f_n(y)f_n+1(x)-f_n+1(y)f_n(x))/(x-y) where fⱼ(x) is the jth term of a set of orthogonal polynomials of squared norm hⱼ and leading coefficient kⱼ.

Etymology

Named after Elwin Bruno Christoffel and Jean Gaston Darboux.

Inflected Forms

the Christoffel-Darboux formula (canonical)

Phrases

Christoffel-Darboux theorem

Frequently Paired Words

Christoffel-Darboux theorem

Questions

What does christoffel-darboux formula mean?: An identity for a sequence of orthogonal polynomials: ∑ⱼ₌₀ⁿ(f_j(x)f_j(y))/(h_j)=(k_n)/(h_nk_n+1)(f_n(y)f_n+1(x)-f_n+1(y)f_n(x))/(x-y) where fⱼ(x) is the jth term of a set of orthogonal polynomials of squared norm hⱼ and leading coefficient kⱼ.
Where does christoffel-darboux formula come from?: Named after Elwin Bruno Christoffel and Jean Gaston Darboux.

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