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(1) This is nothing but the binomial expansion.

(2) Theorem g is called binomial theorem.

(3) The binomial theorem for positive integral indices.

(4) Therefore, matrix representation of the binomial coefficients is meaningful.

(5) The binomial coefficients are ubiquitous in Combinational Theory.

(6) The famous mathematician Newton first proved the binomial theorem.

(7) Pascal's triangle shows the binomial coefficients.

(8) Pascal published a treatus on binomial coefficient.

(9) Here I will use the binomial probability formula .

(10) In Hinduism he is praised as the binomial Mitra - Varuna.

(11) Prove that no four consecutive binomial coefficients can be in arithmetic progression.

(12) We propose a concept of conversion factor of binomial distribution. By using this factor(sentencedict.com/binomial.html), the approximate classical limit of parameter for the last stage is obtained.

(13) Maybe they didn't write down the binomial distribution, but they explained the idea of insurance and it didn't sound right to the typical nineteenth century American woman.

(14) The results indicate that both binomial distribution and Poisson distribution well fit the statistic characteristics of sea spike under lower false-alarm probability.

(15) A practical application of the extended binomial distribution in textile industry was presented.

(16) This paper begins with the binomial distribution in the random theory and then furthers on analysis of the distributive curve of Galton board experiment.

(17) Assuming the number of buckets is large, the Poisson distribution can once more be used as an approximation to the binomial distribution.

(18) Confidence intervals for these were calculated on the basis of the associated binomial probability.

(19) This will be developed further in a later section which describes the binomial and Black-Scholes option pricing models.

(20) It is necessity that stratified sampling is used to investigate to the trees and the new stumps, and the spatial distributing pattern of the red turpentine beetles was Negative Binomial Distribution.

(21) The authors put forward a method to analyze the success ratios of the different multi-well drilling prospect plans by using binomial distribution probability model.

(22) An error in which GENLIN mislabeled the kernel of log likelihood for binomial logit models was fixed.

(23) And by the 14th century Chinese mathematicians had made significant advances in algebra, in the numerical solution of equations and in the rudiments of the binomial theorem .

(24) This paper firstly reviews the pricing theories of Convertible Bonds, compared with other pricing methods, Binomial Tree Model is more effective in Convertible Bonds pricing.

(25) It seems to us that the problem of how to obtain the exact confidence limits for a binomial series system is still unsolved.

(26) The Six Sigma Black Belt should be familiar with the commonly used probability distributions, including: hypergeometric, binomial, Poisson, normal, exponential, chi-square, Student's t, and F.

(27) Then a probability model for population number with 2 pebrine moths in M pebrine population is provided and the model is binomial distribution B(M, 0. 07).

(28) The Six Sigma Black Belt should be familiar with the commonly used probability, including: hypergeometric, binomial, Poisson, normal, exponential, chi-square, Student's t, and F.

(29) By establishing a statistical model of process of cloning, a deduction and interpretation of this equation can be obtained according to the principle of binomial distribution .

(30) It is the only way to keep normal approximation to the binomial.