释义 |
tay·lor series \ˈtālə(r)\ noun also taylor's series \-ə(r)(z)-\ Usage: usually capitalized T Etymology: after Brook Taylor died 1731 English mathematician : a power series that gives the expansion of a function f(x) in the neighborhood of a point a provided a power series exists and converges to the function in the neighborhood and that has the form f(x) = f(a) + f[1](a)/1! (x - a) + f[2](a)/2! (x - a)² + ... + f[n](a)/n! (x - a)ⁿ + ... where f[n](a) is the derivative of nth order of f(x) evaluated at a |