Statements (29)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
analytic functions
|
gptkbp:convergesTo |
function value (under certain conditions)
|
gptkbp:describes |
representation of functions as infinite sums of derivatives
|
gptkbp:field |
mathematical analysis
|
gptkbp:firstPublished |
1715
|
gptkbp:hasApplication |
gptkb:perturbation_theory
solving differential equations asymptotic analysis approximating transcendental functions error estimation |
gptkbp:hasComponent |
derivatives at a point
|
gptkbp:hasGeneralForm |
f(x) = Σ (f⁽ⁿ⁾(a)/n!) (x-a)ⁿ
|
gptkbp:hasSpecialCase |
gptkb:Maclaurin_series
|
https://www.w3.org/2000/01/rdf-schema#label |
Taylor series
|
gptkbp:namedAfter |
gptkb:Brook_Taylor
|
gptkbp:relatedTo |
gptkb:Maclaurin_series
gptkb:Laurent_series Fourier series power series |
gptkbp:usedFor |
function approximation
|
gptkbp:usedIn |
calculus
computer science engineering numerical analysis physics |
gptkbp:bfsParent |
gptkb:Maclaurin_series
gptkb:Differential_Calculus |
gptkbp:bfsLayer |
5
|