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在"英语"词典里Maclaurin series}的意思

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英语中MACLAURIN SERIES的发音

Maclaurin series  [məˈklɔːrɪn ˈsɪəriːz] play
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MACLAURIN SERIES的语法类别

noun
形容词
动词
副词
代词
介词
连词
限定词
感叹词

MACLAURIN SERIES在英语中的意思是什么?

点击查看«Maclaurin series»在英语词典里的原始定义
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泰勒系列

Taylor series

在数学中,泰勒级数是一个函数的表示,其作为从单个点的函数的导数的值计算出的无穷大项。 泰勒系列的概念由苏格兰数学家詹姆斯·格雷戈里(James Gregory)发现,并在1715年由英国数学家布鲁克·泰勒(Brook Taylor)正式介绍。如果泰勒系列以零为中心,那么该系列也被称为麦克劳林系列,以苏格兰数学家 科林·麦克劳林(Colin Maclaurin)在18世纪广泛使用了泰勒系列这一特殊案例。 通常的做法是通过使用其泰勒级数的有限数量来近似函数。 泰勒定理给出了该近似误差的定量估计。 函数的泰勒级数的任何有限数量的初始项称为泰勒多项式。 函数的泰勒级数是该函数的泰勒多项式的极限,条件是存在极限。 一个函数可能不等于其泰勒级数,即使其泰勒级数收敛于每一点。 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.

点击查看«Maclaurin series»在英语词典里的原始定义
点击查看在中文词典里此定义的自动翻译

MACLAURIN SERIES押韵的英语 单词


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

MACLAURIN SERIES一样开头的英语单词

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

MACLAURIN SERIES一样开头的英语单词

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

英语近义词词典里Maclaurin series的近义词和反义词

近义词

«Maclaurin series»的25种语言翻译

翻译者
online translator

MACLAURIN SERIES的翻译

通过我们的英语多语言翻译器,找到Maclaurin series25种语言翻译
该章节所呈现的将Maclaurin series由 英语向其他语言的翻译是通过自动统计翻译获得的;在英语中基本的翻译单位是单词«Maclaurin series»。

翻译者英语 - 中文

麦克劳林系列
1,325 数百万发言者

翻译者英语 - 西班牙语

serie de Maclaurin
570 数百万发言者

英语

Maclaurin series
510 数百万发言者

翻译者英语 - 印地语

Maclaurin श्रृंखला
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

سلسلة ماكلورين
280 数百万发言者

翻译者英语 - 俄语

ряд Маклорена
278 数百万发言者

翻译者英语 - 葡萄牙语

série Maclaurin
270 数百万发言者

翻译者英语 - 孟加拉语

ম্যাকালরিন সিরিজ
260 数百万发言者

翻译者英语 - 法语

série de Maclaurin
220 数百万发言者

翻译者英语 - 马来语

Siri Maclaurin
190 数百万发言者

翻译者英语 - 德语

Maclaurin Serie
180 数百万发言者

翻译者英语 - 日语

マクローリン級数
130 数百万发言者

翻译者英语 - 韩语

에 Maclaurin 시리즈
85 数百万发言者

翻译者英语 - 印尼爪哇语

Seri Maclaurin
85 数百万发言者
vi

翻译者英语 - 越南语

Maclaurin loạt
80 数百万发言者

翻译者英语 - 泰米尔语

மெக்லாரின் தொடர்
75 数百万发言者

翻译者英语 - 马拉地语

मॅक्लॉरिन मालिका
75 数百万发言者

翻译者英语 - 土耳其语

Maclaurin serisi
70 数百万发言者

翻译者英语 - 意大利语

serie di Maclaurin
65 数百万发言者

翻译者英语 - 波兰语

seria Maclaurin
50 数百万发言者

翻译者英语 - 乌克兰语

ряд Маклорена
40 数百万发言者

翻译者英语 - 罗马尼亚语

serie Maclaurin
30 数百万发言者
el

翻译者英语 - 希腊语

σειρά Maclaurin
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

Maclaurin reeks
14 数百万发言者
sv

翻译者英语 - 瑞典语

Maclaurin serie
10 数百万发言者
no

翻译者英语 - 挪威语

Maclaurinrekker
5 数百万发言者

Maclaurin series的使用趋势

趋势

词语 «MACLAURIN SERIES»的使用趋势

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Maclaurin series的主要搜索趋势和常见用法
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词语«MACLAURIN SERIES» 随时间而变化的使用频率

该图表展现了单词«Maclaurin series»在过去500年中的用法频率的每年演化其实施是基于分析词语«Maclaurin series»从1500年到现在在 英语数字出版物中出现的频率。

Maclaurin series的英语文献、引用和新闻中的使用范例

示例

«MACLAURIN SERIES»相关的英语书籍

在以下的参考文献中发现Maclaurin series的用法。与Maclaurin series相关的书籍以及同一来源的简短摘要提供其在 英语文献中的使用情境。
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

包含词语«MACLAURIN SERIES»的新条目

找出国内和国际出版社所讨论的内容,以及词语Maclaurin series在以下新条目的上下文中是如何使用的。
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, 六月 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, 二月 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, 十月 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, 二月 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, 六月 10»

参考文献
« EDUCALINGO. Maclaurin series [在线]. 可用 <https://educalingo.com/zh/dic-en/maclaurin-series>. 五月 2024 ».
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