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Meaning of "Maclaurin series" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF MACLAURIN SERIES

Maclaurin series  [məˈklɔːrɪn ˈsɪəriːz] play
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GRAMMATICAL CATEGORY OF MACLAURIN SERIES

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Maclaurin series is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES MACLAURIN SERIES MEAN IN ENGLISH?

Taylor series

In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point. The concept of a Taylor series was discovered by the Scottish mathematician James Gregory and formally introduced by the English mathematician Brook Taylor in 1715. If the Taylor series is centered at zero, then that series is also called a Maclaurin series, named after the Scottish mathematician Colin Maclaurin, who made extensive use of this special case of Taylor series in the 18th century. It is common practice to approximate a function by using a finite number of terms of its Taylor series. Taylor's theorem gives quantitative estimates on the error in this approximation. Any finite number of initial terms of the Taylor series of a function is called a Taylor polynomial. The Taylor series of a function is the limit of that function's Taylor polynomials, provided that the limit exists. A function may not be equal to its Taylor series, even if its Taylor series converges at every point.

WORDS THAT RHYME WITH MACLAURIN SERIES


Antares
ænˈtɛəriːz
anticaries
ˌæntɪˈkeəriːz
Ares
ˈɛəriːz
Aries
ˈɛəriːz
breeze
briːz
caries
ˈkɛəriːz
Ceres
ˈsɪəriːz
cerise
səˈriːz
congeries
kɒnˈdʒɪəriːz
crise
kriːz
freeze
friːz
grise
ɡriːz
haeres
ˈhɪəriːz
heres
ˈhɪəriːz
imprese
ɪmˈpriːz
miniseries
ˈmɪnɪˌsɪəriːz
nares
ˈnɛəriːz
reprise
rɪˈpriːz
series
ˈsɪəriːz
Silures
saɪˈlʊəriːz

WORDS THAT BEGIN LIKE MACLAURIN SERIES

Mackerras
Mackinac
mackinaw
Mackinaw coat
Mackinder
mackintosh
mackle
mackling
Maclaurin´s series
macle
Maclean
Macleish
Macleod
Macmahon
Macmillan
MacNeice
Macon
Maconchy
maconochie
Macpherson

WORDS THAT END LIKE MACLAURIN SERIES

A series
accessories
arteries
bakeries
batteries
breweries
cemeteries
deliveries
discoveries
fisheries
galleries
groceries
lotteries
masteries
mysteries
nurseries
queries
surgeries
time series
wineries
World Series

Synonyms and antonyms of Maclaurin series in the English dictionary of synonyms

SYNONYMS

Translation of «Maclaurin series» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF MACLAURIN SERIES

Find out the translation of Maclaurin series to 25 languages with our English multilingual translator.
The translations of Maclaurin series from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «Maclaurin series» in English.

Translator English - Chinese

麦克劳林系列
1,325 millions of speakers

Translator English - Spanish

serie de Maclaurin
570 millions of speakers

English

Maclaurin series
510 millions of speakers

Translator English - Hindi

Maclaurin श्रृंखला
380 millions of speakers
ar

Translator English - Arabic

سلسلة ماكلورين
280 millions of speakers

Translator English - Russian

ряд Маклорена
278 millions of speakers

Translator English - Portuguese

série Maclaurin
270 millions of speakers

Translator English - Bengali

ম্যাকালরিন সিরিজ
260 millions of speakers

Translator English - French

série de Maclaurin
220 millions of speakers

Translator English - Malay

Siri Maclaurin
190 millions of speakers

Translator English - German

Maclaurin Serie
180 millions of speakers

Translator English - Japanese

マクローリン級数
130 millions of speakers

Translator English - Korean

에 Maclaurin 시리즈
85 millions of speakers

Translator English - Javanese

Seri Maclaurin
85 millions of speakers
vi

Translator English - Vietnamese

Maclaurin loạt
80 millions of speakers

Translator English - Tamil

மெக்லாரின் தொடர்
75 millions of speakers

Translator English - Marathi

मॅक्लॉरिन मालिका
75 millions of speakers

Translator English - Turkish

Maclaurin serisi
70 millions of speakers

Translator English - Italian

serie di Maclaurin
65 millions of speakers

Translator English - Polish

seria Maclaurin
50 millions of speakers

Translator English - Ukrainian

ряд Маклорена
40 millions of speakers

Translator English - Romanian

serie Maclaurin
30 millions of speakers
el

Translator English - Greek

σειρά Maclaurin
15 millions of speakers
af

Translator English - Afrikaans

Maclaurin reeks
14 millions of speakers
sv

Translator English - Swedish

Maclaurin serie
10 millions of speakers
no

Translator English - Norwegian

Maclaurinrekker
5 millions of speakers

Trends of use of Maclaurin series

TRENDS

TENDENCIES OF USE OF THE TERM «MACLAURIN SERIES»

The term «Maclaurin series» is normally little used and occupies the 140.195 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
35
/100
The map shown above gives the frequency of use of the term «Maclaurin series» in the different countries.
Principal search tendencies and common uses of Maclaurin series
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Maclaurin series».

FREQUENCY OF USE OF THE TERM «MACLAURIN SERIES» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «Maclaurin series» during the past 500 years. Its implementation is based on analysing how often the term «Maclaurin series» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about Maclaurin series

EXAMPLES

10 ENGLISH BOOKS RELATING TO «MACLAURIN SERIES»

Discover the use of Maclaurin series in the following bibliographical selection. Books relating to Maclaurin series and brief extracts from same to provide context of its use in English literature.
1
Lion Hunting and Other Mathematical Pursuits: A Collection ...
If the Maclaurin series of/ and g converge for \:\ < r and g(z) # 0 for 0 ^ \z\ < r, then if the Maclaurin series for/ is divided by the Maclaurin series for g by long division (as if the series were polynomials), the resulting series represents f/g for \z\<r.
Ralph P. Boas, Gerald L. Alexanderson, Dale H. Mugler, 1995
2
Calculus Single Variable
(a) Use the Maclaurin series for 1/(1 − x) to find the Maclaurin series for 1/(a − x), where a = 0, and state the radius of convergence of the series. (b) Use the binomial series for 1/(1 + x)2 obtained in Example 4 of Section 9.9 to find the first four ...
Howard Anton, Irl C. Bivens, Stephen Davis, 2012
3
Maths for Chemists: Power series, complex numbers and linear ...
For example, the Maclaurin series for the function e~A can be found as in Problem 1.5; however, an alternative, and much less labour intensive, approach involves writing X = — .Y and then using the existing series for ev, with X replacing .v.
Martin Cockett, Graham Doggett, 2003
4
Calculus II: 1-3
Write down the Maclaurin series for the functions in Exercises I -4. 1. sin 3x 2. cos4x 3. cosx -I- e~2x 4. sin 2x — e"4' Find the terms through x3 in the Taylor series at x0 = 1 for the functions in Exercises 5-8. 5. 1/(1 + x2 + x4) 6. 1/^2- x2 7. e * 8.
Jerold Marsden, Alan Weinstein, 1985
5
Calculus: The Language of Change
For each of the series below, use the complex plane to find a bound for the radius of convergence — the distance from the base of the series (0, for the Maclaurin series) to the nearest number (real or complex) for which the function is ...
David W. Cohen, James M. Henle, 2005
6
Higher Engineering Mathematics
Develop a series for sinhx using Maclaurin's series. f(x)=sinhx f(0)=sinh0= e0−e− 02=0 f(x)= coshx f(0)= cosh0 = e0+e−02 = 1 f(x)=sinhx f(0)=sinh0=0 f(x)=coshx f(0 )=cosh0= 1 fiv(x)= sinhx fiv(0)= sinh0 = 0 fv(x)=coshx fv(0)=cosh0=1 ...
John Bird,, 2014
7
Calculus of a Single Variable: Early Transcendental Functions
16. fx coshx fx e2x Using a Binomial Series In Exercises 17–26, use the binomial series to find the Maclaurin series for the function. 17. 18. 19. 20. 21. 22. f x 12x3 f x 14x2 f x 11x2 f x 11x fx 11x4 fx 11x2 23. 25. Finding a Maclaurin Series In ...
Ron Larson, Bruce Edwards, 2014
8
Understanding Engineering Mathematics
Now try the following Practice Exercise Practice Exercise 97 Further problems on Maclaurin's series (answers on page 1118) 1. Determine the first four terms of the power series for sin 2x using Maclaurin's series. 2. Use Maclaurin's series to ...
John Bird, 2013
9
A First Course in Complex Analysis with Applications
What is the radius of convergence R of the Maclaurin series in Problem 23? 30. What is the radius of convergence R of the Maclaurin series in Problem 24? In Problems 31 and 32, expand the given function in Taylor series centered at each of ...
Dennis G. Zill, Patrick D. Shanahan, 2011
10
Complex Analysis
What is the radius of convergence R of the Maclaurin series in Problem 23? 30. What is the radius of convergence R of the Maclaurin series in Problem 24? In Problems 31 and 32, expand the given function in Taylor series centered at each of ...
Dennis G. Zill, Patrick D. Shanahan, 2013

5 NEWS ITEMS WHICH INCLUDE THE TERM «MACLAURIN SERIES»

Find out what the national and international press are talking about and how the term Maclaurin series is used in the context of the following news items.
1
Yoga day is a good beginning, but only a beginning
... which the West has dubbed the Taylor and Maclaurin series. Similarly, astronomy staples such as the constellations were likely Indian concepts, but they have ... «The Northlines, Jun 15»
2
DTU students boycott World Cup, toil super hard for mid-sems
... asked about his views on the popular 'Mauka Mauka' ad series got heavily confused and began explaining the Maclaurin series theorem. «Firstpost, Feb 15»
3
Maclaurin series for reciprocal function
Maclaurin series for reciprocal function. Started by JohnnyCode, Oct 16 2014 06:12 AM. Old topic! Google, the last post of this topic is over 60 days old and at ... «GameDev.net, Oct 14»
4
'Kerala's contributions to Maths yet to get due attention'
Madhava, who was born in 1350, is thought to have conceived the infinite power series similar to the Maclaurin series around 1400, while it ... «The New Indian Express, Feb 13»
5
AP exams inspire Internet-age mischief among high schoolers …
This is a pun on the Taylor Series and Maclaurin Series, both of which are tested on Calculus BC, the more difficult of two AP Calculus exams. «New York Daily News, Jun 10»

REFERENCE
« EDUCALINGO. Maclaurin series [online]. Available <https://educalingo.com/en/dic-en/maclaurin-series>. Apr 2024 ».
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