Maclaurin series

GPTKB entity
AI-created image of Maclaurin series
AI-created image

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application computer science
engineering
physics
gptkbp:centeredIn zero
gptkbp:convergesTo analytic functions at x=0
gptkbp:example cos(x) = 1 - x^2/2! + x^4/4! - ...
e^x = 1 + x + x^2/2! + x^3/3! + ...
ln(1+x) = x - x^2/2 + x^3/3 - ...
sin(x) = x - x^3/3! + x^5/5! - ...
gptkbp:expansion analytic function
gptkbp:field gptkb:mathematics
gptkbp:firstPublished 18th century
gptkbp:form f(x) = f(0) + f'(0)x + f''(0)x^2/2! + ...
https://www.w3.org/2000/01/rdf-schema#label Maclaurin series
gptkbp:namedAfter gptkb:Colin_Maclaurin
gptkbp:relatedTo Taylor polynomial
power series
gptkbp:subclassOf gptkb:Taylor_series
gptkbp:usedFor function approximation
gptkbp:usedIn calculus
gptkbp:bfsParent gptkb:Colin_Maclaurin
gptkbp:bfsLayer 4