Taylor series expansion

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo functions that are infinitely differentiable at a point
gptkbp:describes representation of a function as an infinite sum of terms
gptkbp:field gptkb:mathematics
gptkbp:firstDescribed 1715
gptkbp:form f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + ...
gptkbp:generalizes gptkb:Maclaurin_series
https://www.w3.org/2000/01/rdf-schema#label Taylor series expansion
gptkbp:namedAfter gptkb:Brook_Taylor
gptkbp:relatedTo Fourier series
Taylor polynomial
analytic function
power series
asymptotic expansion
Lagrange form of the remainder
convergence radius
remainder term
gptkbp:usedIn calculus
engineering
numerical analysis
physics
gptkbp:bfsParent gptkb:Extended_Kalman_filter
gptkb:Hessian
gptkbp:bfsLayer 5