Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.
No pronunciation record was provided for this word.
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.
Definition source: English Wiktionary via Wiktextract
Topics: calculus, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Named after English mathematician Brook Taylor, who formally introduced the series in 1715. The concept was formulated by Scottish mathematician James Gregory.
Across languages
Translations
18 source translations are retained for this English entry.
-
Asturian:
serie de Taylor
— power series of a function calculated from derivatives at a reference point
-
Bulgarian:
ред на Тейлър
(red na Tejlǎr)
— power series of a function calculated from derivatives at a reference point
-
Bulgarian:
Тейлъров ред
(Tejlǎrov red)
— power series of a function calculated from derivatives at a reference point
-
Catalan:
sèrie de Taylor
— power series of a function calculated from derivatives at a reference point
-
Chinese Mandarin:
泰勒展開式 /泰勒展开式
(Tàilè zhǎnkāishì)
— power series of a function calculated from derivatives at a reference point
-
Czech:
Taylorova řada
— power series of a function calculated from derivatives at a reference point
-
Danish:
Taylorrække
— power series of a function calculated from derivatives at a reference point
-
Finnish:
Taylorin sarja
— power series of a function calculated from derivatives at a reference point
-
French:
série de Taylor
— power series of a function calculated from derivatives at a reference point
-
Galician:
serie de Taylor
— power series of a function calculated from derivatives at a reference point
-
German:
Taylorreihe
— power series of a function calculated from derivatives at a reference point
-
Hungarian:
Taylor-sor
— power series of a function calculated from derivatives at a reference point
-
Italian:
serie di Taylor
— power series of a function calculated from derivatives at a reference point
-
Polish:
szereg Taylora
— power series of a function calculated from derivatives at a reference point
-
Portuguese:
série de Taylor
— power series of a function calculated from derivatives at a reference point
-
Romanian:
serie Taylor
— power series of a function calculated from derivatives at a reference point
-
Russian:
ряд Те́йлора
(rjad Tɛ́jlora)
— power series of a function calculated from derivatives at a reference point
-
Spanish:
serie de Taylor
— power series of a function calculated from derivatives at a reference point
