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                    Statements (23)
| 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 | 
| 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 | 
| gptkbp:bfsLayer | 5 | 
| https://www.w3.org/2000/01/rdf-schema#label | Taylor series expansion |