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在"英语"词典里binomial coefficient}的意思

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英语中BINOMIAL COEFFICIENT的发音

binomial coefficient play
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BINOMIAL COEFFICIENT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

BINOMIAL COEFFICIENT在英语中的意思是什么?

点击查看«binomial coefficient»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

二项式系数

Binomial coefficient

在数学中,二项式系数是作为二项式定理中的系数出现的正整数族。 它们由两个非负整数索引; 通常写入由n和k索引的二项式系数。 它是二项式幂n的多项式展开中x k项的系数。 在合适的情况下,系数的值由表达式给出。 将二项式系数排列成n个连续值的行,其中k范围从0到n,给出一个称为Pascal三角形的三角形数组。 这个数字族也出现在除代数以外的许多数学领域,特别是组合。 对于包含n个元素的任何集合,可以形成的不同的k元素子集的数量由二项式系数给出。 所以经常读作“n选择k”。 In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the binomial coefficient indexed by n and k is usually written. It is the coefficient of the x k term in the polynomial expansion of the binomial power n. Under suitable circumstances the value of the coefficient is given by the expression. Arranging binomial coefficients into rows for successive values of n, and in which k ranges from 0 to n, gives a triangular array called Pascal's triangle. This family of numbers also arises in many areas of mathematics other than algebra, notably in combinatorics. For any set containing n elements, the number of distinct k-element subsets of it that can be formed is given by the binomial coefficient. Therefore is often read as "n choose k".

点击查看«binomial coefficient»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

BINOMIAL COEFFICIENT一样开头的英语单词

binning
binocle
binocs
binocular
binocular disparity
binocular rivalry
binocularity
binocularly
binoculars
binomial
binomial distribution
binomial experiment
binomial nomenclature
binomial theorem
binomially
binominal
binominal nomenclature
binovular
bins
bint

BINOMIAL COEFFICIENT一样开头的英语单词

ancient
client
coefficient
conscient
correlation coefficient
deficient
diffusion coefficient
drag coefficient
efficient
energy-efficient
fuel-efficient
immunodeficient
inconscient
inefficient
insufficient
omniscient
partition coefficient
Pearson´s correlation coefficient
proficient
self-sufficient
sufficient

英语近义词词典里binomial coefficient的近义词和反义词

近义词

«binomial coefficient»的25种语言翻译

翻译者
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BINOMIAL COEFFICIENT的翻译

通过我们的英语多语言翻译器,找到binomial coefficient25种语言翻译
该章节所呈现的将binomial coefficient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«binomial coefficient»。

翻译者英语 - 中文

二项式系数
1,325 数百万发言者

翻译者英语 - 西班牙语

coeficiente binomial
570 数百万发言者

英语

binomial coefficient
510 数百万发言者

翻译者英语 - 印地语

द्विपद गुणांक
380 数百万发言者
ar

翻译者英语 - 阿拉伯语

معامل ذي الحدين
280 数百万发言者

翻译者英语 - 俄语

биномиальный коэффициент
278 数百万发言者

翻译者英语 - 葡萄牙语

coeficiente binomial
270 数百万发言者

翻译者英语 - 孟加拉语

দ্বিমাত্রিক সমবায়
260 数百万发言者

翻译者英语 - 法语

coefficient binomial
220 数百万发言者

翻译者英语 - 马来语

Pekali binomial
190 数百万发言者

翻译者英语 - 德语

Binomialkoeffizienten
180 数百万发言者

翻译者英语 - 日语

2項係数
130 数百万发言者

翻译者英语 - 韩语

이항 계수
85 数百万发言者

翻译者英语 - 印尼爪哇语

Koefisien binomial
85 数百万发言者
vi

翻译者英语 - 越南语

hệ số nhị thức
80 数百万发言者

翻译者英语 - 泰米尔语

இருபால் குணகம்
75 数百万发言者

翻译者英语 - 马拉地语

द्विपदीय गुणांक
75 数百万发言者

翻译者英语 - 土耳其语

Binom katsayısı
70 数百万发言者

翻译者英语 - 意大利语

coefficiente binomiale
65 数百万发言者

翻译者英语 - 波兰语

współczynnik dwumianowy
50 数百万发言者

翻译者英语 - 乌克兰语

біноміальний коефіцієнт
40 数百万发言者

翻译者英语 - 罗马尼亚语

coeficient binom
30 数百万发言者
el

翻译者英语 - 希腊语

διωνυμικό συντελεστή
15 数百万发言者
af

翻译者英语 - 布尔语(南非荷兰语)

binomiaal -koëffisiënt
14 数百万发言者
sv

翻译者英语 - 瑞典语

binomial koefficient
10 数百万发言者
no

翻译者英语 - 挪威语

binomialkoeffisienten
5 数百万发言者

binomial coefficient的使用趋势

趋势

词语 «BINOMIAL COEFFICIENT»的使用趋势

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binomial coefficient的主要搜索趋势和常见用法
用户为查找我们的英语在线词典以及单词«binomial coefficient»的最常用表达而进行的主要搜索的列表。

词语«BINOMIAL COEFFICIENT» 随时间而变化的使用频率

该图表展现了单词«binomial coefficient»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«binomial coefficient»从1500年到现在在 英语数字出版物中出现的频率。

binomial coefficient的英语文献、引用和新闻中的使用范例

示例

«BINOMIAL COEFFICIENT»相关的英语书籍

在以下的参考文献中发现binomial coefficient的用法。与binomial coefficient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
CRC Concise Encyclopedia of Mathematics, Second Edition
230 Binomial Coefficient Binomial Coefficient all sufficiently large n > n0 (Vardi 1991). Granville and Ramare (1996) proved that the only SQUAREFREE values are n — 2 and 4. Sander (1992) subsequently showed that (2"^) are also never ...
Eric W. Weisstein, 2002
2
MATLAB Programming for Engineers
The value of an k b the binomial coefficient is given by the Equation (5-13): a b 5 n n! (5-13) k k!sn2kd! For example, suppose that we performed an experiment in which we tossed a fair coin (pheads 0.5) ten times. In that case, the probability ...
Stephen Chapman, 2007
3
Binomial Coefficient
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Binomial coefficient.
Frederic P. Miller, Agnes F. Vandome, John McBrewster, 2010
4
Advanced Excel for Scientific Data Analysis
Perhaps so, but when you apply this to the binomial coefficient, you will quickly run out of luck. Exercise 1.14.1: ( 1 ) Start a spreadsheet with the label and value of n, two rows lower enter labels for N and the binomial coefficient, and in cell A5  ...
Robert De Levie, 2004
5
Catalan Numbers with Applications
... 349 Lagrange, J. L. biography, 90 Lagrange's identity, 89, 91 Lagrange's identity binomial coefficient, 89, 91 Catalan numbers and, 127–130 central binomial coefficient, 43–44, 96 combinatorial argument, 92 remainder when divided by odd ...
Thomas Koshy Professor of Mathematics Framingham State College, 2008
6
Enumerative Combinatorics
The binomial (coefficient), closely related to factorial, is of equal importance. In discrete probability theory and in theoretical computer science, which concern finite differences and sums of functions, the expansion into factorial series is more ...
Charalambos A. Charalambides, 2002
7
Final Exam Review: College Algebra
Applications of the Binomial Theorem In the examples that follow, we will distinguish between the binomial coefficient, the coefficient of a term, and the term itself. Example 1 Find the binomial coefficient of a term in a binomial expansion given ...
A. A. Frempong
8
Final Exam Review: College Algebra & Trigonometry
Applications of the Binomial Theorem In the examples that follow, we will distinguish between the binomial coefficient, the coefficient of a term, and the term itself. Example 1 Find the binomial coefficient of a term in a binomial expansion given ...
A. A. Frempong
9
The Basic Practice of Statistics Telecourse Study Guide
BINOMIAL COEFFICIENT The number of ways of arranging k successes among n observations is given by the binomial coefficient ( n k ) = n! k!(n − k)! fork=0,1,2,.. .,n. The formula for binomial coefficients uses the factorial notation. For any pos- ...
David S. Moore, 2010
10
The Basic Practice of Statistics
BINOMIAL COEFFICIENT The number of ways of arranging k successes among n observations is given by the binomial coefficient ( n k ) = n! k!(n−k)! fork = 0,1,2,.. .,n. itive whole number n, its factorial n!is n! = n×(n − 1) × (n − 2) ×···×3 × 2 × 1 In ...
David S. Moore, 2010

包含词语«BINOMIAL COEFFICIENT»的新条目

找出国内和国际出版社所讨论的内容,以及词语binomial coefficient在以下新条目的上下文中是如何使用的。
1
Quantifying the Number of Discriminable Coincident Dendritic Input …
... computed by the binomial coefficient . Therefore, to estimate the possible number of input combinations on a dendritic segment with lb spines ... «Nature.com, 六月 15»
2
Lottery win odds increased
This latter number is known to mathematicians as the "binomial coefficient 49-choose-6". Increasing the pool to 59 numbers mean that ... «Herald Scotland, 六月 15»
3
Holy Grail of Mathematics Pursued in 'The Symphony of Primes …
By an implementation of a binomial coefficient the maximal prime gaps supremum bound is proved, simultaneously establishing the infimum for ... «Broadway World, 十月 13»
4
Binomial Coefficient for Positive Integers
The answer lies in the binomial coefficient, which also answers several related questions in combinatorics (the study of countable objects) and ... «Decoded Science, 八月 12»
5
The BP Wayback Machine Royal Flush
However, the key to the puzzle is Pascal's Triangle, a tool that reveals the binomial coefficient by which each result must be multiplied--three, ... «Baseball Prospectus, 四月 12»
6
I can't believe someone makes… Numerist clocks
The Geek Clock will set you back $25 (there's also a wrist watch version available – “It's Half-Past a Binomial Coefficient”). Check out the video:. «ElectronicsWeekly.com, 五月 10»
7
Allen Features Sol LeWitt
Although I could not remember the binomial coefficient equation during my research methods exam last week, I was able to witness its physical ... «Oberlin Review, 三月 07»

参考文献
« EDUCALINGO. Binomial coefficient [在线]. 可用 <https://educalingo.com/zh/dic-en/binomial-coefficient>. 六月 2026 ».
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