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mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed...62 KB (10,787 words) - 23:41, 15 June 2025- Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs of the binomial coefficients...18 KB (3,357 words) - 17:39, 18 June 2025
In mathematics the nth central binomial coefficient is the particular binomial coefficient ( 2 n n ) = ( 2 n ) ! ( n ! ) 2 for all n ≥ 0. {\displaystyle...7 KB (1,238 words) - 17:35, 23 November 2024- } The coefficient a {\displaystyle a} in each term a x k y m {\displaystyle \textstyle ax^{k}y^{m}} is known as the binomial coefficient ( n...42 KB (6,735 words) - 13:29, 19 June 2025
! {\displaystyle {\binom {n}{k}}={\frac {n!}{k!(n-k)!}}} is the binomial coefficient. The formula can be understood as follows: pk qn−k is the probability...53 KB (7,554 words) - 03:55, 26 May 2025- the right-hand side is expressed in terms of the (generalized) binomial coefficients ( α k ) = α ( α − 1 ) ( α − 2 ) ⋯ ( α − k + 1 ) k ! . {\displaystyle...13 KB (1,889 words) - 21:16, 14 April 2025
- 70 (number) (section Central binomial coefficient)+ 19 is the seventh square number, 49. 70 is the fourth central binomial coefficient, preceding { 1 , 2 , 6 , 20 } {\displaystyle \{1,2,6,20\}} , as the...12 KB (1,706 words) - 15:44, 22 June 2025
positive covariance term. The term "negative binomial" is likely due to the fact that a certain binomial coefficient that appears in the formula for the probability...55 KB (8,245 words) - 10:14, 17 June 2025
Bernoulli trial (redirect from Binomial trial)) {\displaystyle {n \choose k}} is a binomial coefficient. Bernoulli trials may also lead to negative binomial distributions (which count the number...9 KB (1,320 words) - 17:20, 16 March 2025- Look up binomial in Wiktionary, the free dictionary. Binomial may refer to: Binomial (polynomial), a polynomial with two terms Binomial coefficient, numbers...1 KB (185 words) - 08:51, 31 July 2024
- Bhargava factorial Binomial coefficient Pascal's triangle Binomial distribution Binomial proportion confidence interval Binomial-QMF (Daubechies wavelet...2 KB (220 words) - 05:14, 5 March 2025
- v=x_{1}e_{1}+x_{2}e_{2}+\dotsb +x_{n}e_{n}.} Correlation coefficient Degree of a polynomial Monic polynomial Binomial coefficient "ISO 80000-1:2009". International Organization...7 KB (1,125 words) - 14:30, 5 March 2025
- Multinomial theorem (redirect from Multinomial coefficient)theorem are the multinomial coefficients. They can be expressed in numerous ways, including as a product of binomial coefficients or of factorials: ( n k...10 KB (2,059 words) - 23:56, 11 May 2025
- Pascal's triangle (redirect from Binomial triangle)mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics,...53 KB (7,608 words) - 02:14, 13 June 2025
- appearing as multipliers for the terms in this expansion are the binomial coefficients two rows down from the top of Pascal's triangle. The expansion of...4 KB (672 words) - 19:11, 17 May 2025
In statistics, the Pearson correlation coefficient (PCC) is a correlation coefficient that measures linear correlation between two sets of data. It is...58 KB (8,398 words) - 20:34, 9 June 2025- A correlation coefficient is a numerical measure of some type of linear correlation, meaning a statistical relationship between two variables. The variables...8 KB (754 words) - 04:50, 11 June 2025
Pascal's pyramid (category Factorial and binomial topics)contains the binomial coefficients that appear in the binomial expansion and the binomial distribution. The binomial and trinomial coefficients, expansions...29 KB (3,648 words) - 20:10, 15 June 2025- Multiset (redirect from Multiset coefficient)Like the binomial distribution that involves binomial coefficients, there is a negative binomial distribution in which the multiset coefficients occur....35 KB (4,983 words) - 14:58, 7 June 2025
- OEIS Foundation. Retrieved 2016-05-31. "Sloane's A000332 : Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24". The On-Line Encyclopedia of...4 KB (475 words) - 18:17, 4 April 2025
- binomial coefficient (plural binomial coefficients) (combinatorics) a coefficient of any of the terms in the expansion of the binomial (x+y)n, defined
- 1911 Encyclopædia Britannica, Volume 3 Binomial 17330211911 Encyclopædia Britannica, Volume 3 — Binomial BINOMIAL (from the Lat. bi-, bis, twice, and nomen
- obtained by multiplying one infinite series by another. He also proved the binomial theorem for the expansion of ( 1 + x ) n {\displaystyle (1+x)^{n}} when
- Distribution Bernoulli Distribution Binomial Distribution Poisson Distribution Geometric Distribution Negative Binomial Distribution Hypergeometric Distribution