Formal Definition
Any function T of the form
with an, bn in C for 0 ≤ n ≤ N, is called a complex trigonometric polynomial of degree N (Rudin 1987, p. 88). Using Euler's formula the polynomial can be rewritten as
Analogously let an, bn be in R, 0 ≤ n ≤ N and aN ≠ 0 or bN ≠ 0 then
is called real trigonometric polynomial of degree N (Powell 1981, p. 150).
Read more about this topic: Trigonometric Polynomial
Famous quotes containing the words formal and/or definition:
“The formal Washington dinner party has all the spontaneity of a Japanese imperial funeral.”
—Simon Hoggart (b. 1946)
“According to our social pyramid, all men who feel displaced racially, culturally, and/or because of economic hardships will turn on those whom they feel they can order and humiliate, usually women, children, and animals—just as they have been ordered and humiliated by those privileged few who are in power. However, this definition does not explain why there are privileged men who behave this way toward women.”
—Ana Castillo (b. 1953)