binomial

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Related to Binomials: Monomials

binomial

(bī'nō`mēəl), polynomial expression (see polynomialpolynomial,
mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a1x
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) containing two terms, for example, x+y. The binomial theorem, or binomial formula, gives the expansion of the nth power of a binomial (x+y) for n=1, 2, 3, … , as follows:

where the ellipsis (…) indicates a continuation of terms following the same pattern. For example, using the formula and reducing fractions, one obtains (x+y)5=x5+5x4y+10x3y2+10x2y3+5xy4+y5. The coefficients 1, n, n (n−1)/1·2, etc., of x and y may also be found from an array known as Pascal's triangle (for Blaise PascalPascal, Blaise
, 1623–62, French scientist and religious philosopher. Studying under the direction of his father, a civil servant, Pascal showed great precocity, especially in mathematics and science.
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), formed by adding adjacent numbers to find the number below them as follows:

binomial

[bī′nō·mē·əl]
(mathematics)
A polynomial with only two terms.

binomial

1. a mathematical expression consisting of two terms, such as 3x + 2y
2. a two-part taxonomic name for an animal or plant
3. referring to two names or terms
References in periodicals archive ?
Keywords: Dengue Fever, Principal component analysis, Negative Binomial Model.
Use of Poisson and negative binomial regression models depends on the nature of the distribution of the dependents variables [30].
i] is the reference sample size for i-th binomial population;
It is worth mentioning that the Wald method applied to the comparison of two binomial proportions or generalized for binomial linear functions put forth in the literature does not consider zero-inflated binomial (ZIB) samples.
Next sections will present the results of the different negative binomial estimations.
Table 2 presents the results of the maternal death pooled negative binomial estimations and an OLS estimation.
Question 2 was presented in each case with the binomials in the same line.
1) of an improvement in students' performance on this basic expansion of binomials in the second questionnaire, using the Vedic method with a grid presentation.
We demonstrate that some words display "first position" phonology and would be well formed in the first position of a binomial pair, whereas, others display "second position" phonology and would be well formed in the second position of a binomial pair.
For many years, some plant virologists have been using an unofficial binomial system for referring to virus species (as well as to viruses).
Even though the Poisson distribution is usually not appropriate when multiple admissions are possible, it can be useful as an approximation to the binomial distribution when [m.
The scientific and infectious disease communities would benefit from the adoption of a standard pronunciation of Latin binomials that would obviate confusion and ambiguities.