(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(/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.

(31) Binomial nomenclature A system of classification introduced by Linnaeus, the Swedish botanist, in which each species is given two names.

(32) Second, we use Binomial Distribution Function to accomplish the control of difficulty proportion in Adaptive Item Bank System.

(33) Basic principle of reliability evaluation of Binomial distribution unit is offered for correctly using in engineering.

(34) The binomial distribution gives the probability as a function of x and it's given by the formula where P is the probability of the accident: PX (1-P)N-X [n!/(n-x)!].

(35) Ruin probabilities in a kind of compound binomial risk model are studied in this paper.

(36) By analyzing the production test data, we get the index production equation, binomial production, production degression equation and the single well control reserve.

(37) The regression equations and similar factors were used to compare the predicability of the ANN and response surface method based on the binomial equations.

(38) The negative binomial distribution was also suited to the frequency distribution of fecal groups on grassland and woodland in the two areas.

(39) In order to explain it-- I had to write down the binomial distribution to explain it properly.

(40) Objective To study the distribution of Oncomelania hupensis with generalized negative binomial distribution (GNBD), and provide the theoretical support for quantitative study.

(41) Index equation and binomial expression are the main methods to determine the absolute open flow capacity of a gas well at present.

(42) If you follow through from the independent theory(), there's one of the basic relations in probability theory-- it's called the binomial distribution.

(43) But the defects in IC fabrication tend to cluster and the Negative binomial distribution or Neyman distribution should be used to describe the number of defects and calculate the control limits.

(44) Supposed the income flow of the insurance company is a serial of random variables in the compound binomial model, we generalized the compound binomial model.

(45) So they--in other words, the insurance company--doesn't trust the insurance companies to do the calculations like I showed with the binomial theorem.

(46) He initiated his pupils into the mysteries of the binomial theorem.

(47) The paper introduce discovery process of the general binomial theorem and method of thinking, it is different from the method in textbook.

(48) This calculating method is reliable and more simple than the used calculating method of the binomial theorem.

(49) There is a wealth of information in the binomial theorem that we have yet to exploit.

(50) The calculated results show that the binomial equation used in the dry gas condition is unsuitable for modelling deliverability of gas condensate well due to its overpredictions.

(51) The solving processes to problems of four types on Newton's binomial theorem in the College Matriculation Examination are given.

(52) The binomial model is a generally accepted method of valuing options.

(53) In this article(), we study the intensity dependent interaction of the Polya states which are the generalization of binomial states and negative binomial states.

(54) Through analyzing the advantages and disadvantages of each model, we get that binomial model has greater flexibility for Employee Stock Option.

(55) It uses the binomial distribution to calculate the probability of getting any specific number of accidents.

(56) Offered here is a simplified original discrete distribution to binomial distribution and a scattering model of the macro-cell.

(57) Founded in 1788 and named for Carl Linnaeus, the Swedish scientist who devised the binomial system of taxonomy, it is the world's oldest active biological society.

(58) The effect of deep tube well use on the incidence of childhood diarrhoea was assessed using a random effects negative binomial regression model.

(59) Firstly, Beta distribution approximate is introduced and then converting the equipment test data into binomial test data is discussed for WCF method.

(60) Based on the mean PE(subscript M) and mutation rate, the likelihood ratio of true father to random man (paternity index) was got using binomial theorem.

(61) To actually apply this it helps to go to something called the normal approximation to the binomial, because it's kind of difficult to compute this formula.

(62) Evaluation of P is simplified if the square root terms are expanded by the binomial theorem.

(63) Two edge detection operators of second derivative model, the discrete Laplacian of Gaussian (DLOG) and Laplacian of binomial distribution (LOB) operators are introduced in this paper.

(64) I think that may be the first-known statement of the binomial distribution.

(65) Combined with the binomial equation and the early field data, Take the Tai 7 well for example, the parameter of gusher well is optimized. And also the sensitivity of parameters is analyzed.

(66) In the measurement of low-level radioactivity, instead of Poisson distribution, a negative binomial distribution is proposed to denote the probability distribution of actual counts.

(67) The results are as follows: The distribution pattern of larvae is aggregative ( negative binomial distribution) . The aggregation dose not change with the densities of population of leaf miner.

(68) In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz.

(68) Wish you can benefit from our online sentence dictionary and make progress day by day!

(69) Objective To study the distribution of Oncomelania hupensis with generalized negative binomial distribution, and provide the theoretical support for quantitative study.

(70) TCP-friendly single rate multicast congestion control for streaming media applications called the Binomial congestion control at Receivers for Multicast (BARM) is proposed.

(71) Poisson theorem and De Moivre-Laplace theorem present the approximate calculation formula of binomial distribution.

(72) The frictional mechanism is explained by using of point catastrophe model in catastrophe theory, stick-slip friction theory and binomial law of friction.

(73) First, after reviewing some related results deduced recently for the compound binomial ruin model, it is shown that the ultimate ruin probability can be expressed as a compound geometric distribution.