Taylor series (English, noun)
expansion: Taylor series (plural Taylor series)
Senses:
topics: calculus
mathematics
sciences
glosses: A power series representation of given infinitely differentiable function f whose terms are calculated from the function's arbitrary order derivatives at given reference point a; the series f(a)+(f'(a))/(1!)(x-a)+(f(a))/(2!)(x-a)²+(f'(a))/(3!)(x-a)³+⋯=∑ₙ₌₀∞(f⁽ⁿ⁾(a))/(n!)(x-a)ⁿ.
Forms:
form: Taylor series
tags: plural
form: Taylor's series
tags: alternative